
Time bar (total: 13.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 6.8% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 15.9% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 23.1% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 36.5% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 45.4% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 52.3% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 41 to 26 computations (36.6% saved)
| 1.5s | 5 250× | 1 | valid |
| 525.0ms | 3 006× | 0 | valid |
| 152.0ms | 1 209× | 0 | invalid |
ival-sqrt: 474.0ms (27.5% of total)ival-mult: 272.0ms (15.8% of total)const: 255.0ms (14.8% of total)ival-<: 160.0ms (9.3% of total)adjust: 134.0ms (7.8% of total)ival-div: 129.0ms (7.5% of total)ival-add: 121.0ms (7% of total)ival-sub: 78.0ms (4.5% of total)ival-neg: 49.0ms (2.8% of total)ival-and: 36.0ms (2.1% of total)exact: 10.0ms (0.6% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 251 | 1 | (151787207.57043314 0.6659752545908892 7.727996017249206e-12) | 1 | (1912803.4979087277 95046667495.2055 85139132129865.14) | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | cancellation | 251 | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 251 | 1 |
| - | 0 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 251 | 1 | 0 |
| - | 0 | 2 | 2 |
| number | freq |
|---|---|
| 0 | 5 |
| 1 | 251 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 99.0ms | 338× | 1 | valid |
| 14.0ms | 174× | 0 | valid |
Compiled 153 to 40 computations (73.9% saved)
ival-sqrt: 35.0ms (50.7% of total)ival-mult: 12.0ms (17.4% of total)ival-div: 6.0ms (8.7% of total)adjust: 6.0ms (8.7% of total)ival-add: 4.0ms (5.8% of total)ival-sub: 4.0ms (5.8% of total)ival-neg: 2.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 562× | div-sub |
| 1 088× | lower-fma.f64 |
| 1 088× | lower-fma.f32 |
| 996× | sub-neg |
| 712× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 158 |
| 1 | 152 | 144 |
| 2 | 433 | 144 |
| 3 | 1173 | 144 |
| 4 | 3171 | 144 |
| 5 | 6061 | 144 |
| 0 | 12 | 17 |
| 0 | 20 | 17 |
| 1 | 36 | 16 |
| 2 | 73 | 16 |
| 3 | 156 | 16 |
| 4 | 236 | 16 |
| 5 | 374 | 16 |
| 6 | 650 | 16 |
| 7 | 1103 | 16 |
| 8 | 2241 | 16 |
| 9 | 2510 | 16 |
| 10 | 2621 | 16 |
| 11 | 2676 | 16 |
| 12 | 2677 | 16 |
| 13 | 2677 | 16 |
| 0 | 2677 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
Compiled 17 to 12 computations (29.4% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 29.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 1 088× | lower-fma.f64 |
| 1 088× | lower-fma.f32 |
| 712× | lower-*.f32 |
| 706× | lower-*.f64 |
| 430× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 66 |
| 0 | 20 | 66 |
| 1 | 36 | 64 |
| 2 | 73 | 64 |
| 3 | 156 | 64 |
| 4 | 236 | 64 |
| 5 | 374 | 64 |
| 6 | 650 | 64 |
| 7 | 1103 | 64 |
| 8 | 2241 | 64 |
| 9 | 2510 | 64 |
| 10 | 2621 | 64 |
| 11 | 2676 | 64 |
| 12 | 2677 | 64 |
| 13 | 2677 | 64 |
| 0 | 2677 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
a |
c |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12890625 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| accuracy | 0.29296875 | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | |
| accuracy | 0.39681625976844204 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 44.82340796646154 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 53.0ms | 169× | 1 | valid |
| 7.0ms | 87× | 0 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-mult: 6.0ms (27.4% of total)ival-div: 5.0ms (22.8% of total)adjust: 3.0ms (13.7% of total)ival-sqrt: 3.0ms (13.7% of total)ival-add: 2.0ms (9.1% of total)ival-sub: 2.0ms (9.1% of total)ival-neg: 1.0ms (4.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation:binary64>) () ()) |
#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation:binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation:binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation:binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation:binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation:binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation:binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation:binary64>) () ())) ()) |
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal 3 binary64) a) c) #<representation:binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | b | @ | 0 | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 3.0ms | b | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 3.0ms | c | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 2.0ms | c | @ | 0 | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 2.0ms | c | @ | -inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 1× | egg-herbie |
| 11 360× | lower-fma.f64 |
| 11 360× | lower-fma.f32 |
| 6 828× | lower-*.f64 |
| 6 828× | lower-*.f32 |
| 3 678× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 470 | 2458 |
| 1 | 1445 | 2441 |
| 2 | 4890 | 2418 |
| 0 | 8056 | 2302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* -3 (* a c)) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -3 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -3 (* a c)) |
(- (pow b 2) (* 3 (* a c))) |
(- (pow b 2) (* 3 (* a c))) |
(- (pow b 2) (* 3 (* a c))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -3 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
| Outputs |
|---|
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
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(*.f64 (neg.f64 b) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 c b) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(*.f64 (neg.f64 b) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 c b) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a))) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)))) a) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 b)) a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) a) b) a))) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) #s(literal -1/3 binary64)) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 a))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a))) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
| 4 876× | lower-fma.f64 |
| 4 876× | lower-fma.f32 |
| 3 870× | lower-*.f32 |
| 3 864× | lower-*.f64 |
| 2 328× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 46 |
| 0 | 20 | 46 |
| 1 | 71 | 44 |
| 2 | 525 | 43 |
| 3 | 6836 | 43 |
| 0 | 8125 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64))))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64))))))) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64))))) (neg.f64 (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64)))))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (neg.f64 (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64)))))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(*.f64 (neg.f64 (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64))))) (*.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64))))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 a #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/3 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) a)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (hypot.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 b b))) (*.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a) (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a) (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))))) |
(/.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) a)) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 9/2 binary64)) (pow.f64 b #s(literal 9 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a) (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)) (neg.f64 a)) |
(/.f64 (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (neg.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(/.f64 (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal -3 binary64) a) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (neg.f64 (neg.f64 a))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 (neg.f64 (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (neg.f64 (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (neg.f64 (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (neg.f64 (-.f64 (hypot.f64 b b) (*.f64 c (*.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1/3 binary64) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)))) |
(neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) b (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (/.f64 #s(literal 1/3 binary64) a))) |
(fma.f64 b (/.f64 #s(literal 1/3 binary64) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 3 binary64))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 b (/.f64 #s(literal 1/3 binary64) a))) |
(+.f64 (*.f64 b (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 #s(literal 1 binary64) b) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b #s(literal -1 binary64)) |
(*.f64 b #s(literal 1 binary64)) |
(pow.f64 b #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (pow.f64 b #s(literal 3 binary64)))) |
(/.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b b)) |
(/.f64 (*.f64 b b) b) |
(neg.f64 b) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64)) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64)) |
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) b) b) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b) |
(-.f64 #s(literal 0 binary64) b) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) b) |
(+.f64 b #s(literal 0 binary64)) |
b |
(*.f64 (*.f64 c #s(literal 3 binary64)) a) |
(*.f64 (*.f64 c a) #s(literal 3 binary64)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 (*.f64 a #s(literal 3 binary64)) c) |
(*.f64 a (*.f64 c #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
Compiled 16 920 to 1 899 computations (88.8% saved)
34 alts after pruning (34 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 518 | 34 | 552 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 519 | 34 | 553 |
| Status | Accuracy | Program |
|---|---|---|
| 29.9% | (/.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal 3 binary64))) | |
| 29.8% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 29.1% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
| 29.5% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 29.9% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
| 29.9% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 29.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 29.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| 29.9% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 29.9% | (/.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) | |
| 29.9% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) | |
| 96.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 93.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 97.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 97.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 96.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 93.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 93.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 29.4% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| ▶ | 29.9% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) |
| 29.9% | (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) | |
| 29.9% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 29.9% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 29.9% | (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) | |
| ▶ | 98.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 96.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 93.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 96.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) | |
| 93.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 97.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 96.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 93.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ▶ | 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
Compiled 1 980 to 1 262 computations (36.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 320 | (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) | |
| cost-diff | 2624 | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) | |
| cost-diff | 0 | (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| cost-diff | 0 | (*.f64 #s(literal -3 binary64) c) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) | |
| cost-diff | 19712 | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) | |
| cost-diff | 384 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| cost-diff | 320 | (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) | |
| cost-diff | 704 | (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) | |
| cost-diff | 6144 | (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
| 6 710× | lower-fma.f32 |
| 6 694× | lower-fma.f64 |
| 5 140× | lower-*.f32 |
| 5 104× | lower-*.f64 |
| 3 406× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 807 |
| 0 | 129 | 758 |
| 1 | 230 | 748 |
| 2 | 587 | 728 |
| 3 | 2293 | 706 |
| 0 | 8136 | 702 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 #s(literal -1/6 binary64) a) |
#s(literal -1/6 binary64) |
a |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
(/.f64 #s(literal 405/64 binary64) b) |
#s(literal 405/64 binary64) |
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -9/16 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 c c) |
#s(literal -3/8 binary64) |
(pow.f64 b #s(literal 3 binary64)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
c |
b |
#s(literal -1/2 binary64) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
#s(literal 3 binary64) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
b |
(*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) |
(sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) |
#s(literal -9 binary64) |
(pow.f64 (*.f64 c a) #s(literal 2 binary64)) |
(*.f64 c a) |
c |
a |
#s(literal 2 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b)) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 b b) |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b) |
(*.f64 #s(literal 3 binary64) a) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 7 binary64)))) (*.f64 a a) (*.f64 (*.f64 c c) (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) c) a (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 7 binary64)))) (*.f64 a a) (*.f64 (*.f64 c c) (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) c) a (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 7 binary64)))) (*.f64 a a) (*.f64 (*.f64 c c) (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) c) a (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) |
(*.f64 #s(literal -1/6 binary64) a) |
#s(literal -1/6 binary64) |
a |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
(/.f64 #s(literal 405/64 binary64) b) |
#s(literal 405/64 binary64) |
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) |
(*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -9/16 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) c) c) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(*.f64 c c) |
#s(literal -3/8 binary64) |
(pow.f64 b #s(literal 3 binary64)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
c |
b |
#s(literal -1/2 binary64) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
#s(literal 3 binary64) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b) (hypot.f64 b b))) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b) (hypot.f64 b b)) |
b |
(*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (fma.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b) (hypot.f64 b b)) #s(literal 3 binary64) (*.f64 (*.f64 c a) #s(literal -9 binary64)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b) (hypot.f64 b b))) (*.f64 a #s(literal 3 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) |
(fma.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b) (hypot.f64 b b)) #s(literal 3 binary64) (*.f64 (*.f64 c a) #s(literal -9 binary64))) |
#s(literal 3 binary64) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))) b) (/.f64 #s(literal 1/3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))) b) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) |
(*.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (neg.f64 b) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64))))) b) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) |
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) b) |
(sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) |
(sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) |
(fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64))) |
#s(literal -9 binary64) |
(pow.f64 (*.f64 c a) #s(literal 2 binary64)) |
(*.f64 c a) |
c |
a |
#s(literal 2 binary64) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (*.f64 b b)) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 b b) |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3203125 | (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b)) | |
| accuracy | 0.39681625976844204 | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 0.4616012695368841 | (pow.f64 (*.f64 c a) #s(literal 2 binary64)) | |
| accuracy | 45.14438285243232 | (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) | |
| accuracy | 0.3671875 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)) | |
| accuracy | 0.38119125976844204 | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) | |
| accuracy | 44.82340796646154 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 44.82340796646154 | (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) | |
| accuracy | 0.125 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.234375 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) | |
| accuracy | 0.29296875 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| accuracy | 44.82340796646154 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 0 | (/.f64 c b) | |
| accuracy | 0 | (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) | |
| accuracy | 10.792165971796669 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| accuracy | 0.359375 | (*.f64 #s(literal -1/6 binary64) a) | |
| accuracy | 0.391288769536884 | (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) | |
| accuracy | 0.4225387695368841 | (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 1.1712716722047924 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 179.0ms | 167× | 1 | valid |
| 52.0ms | 89× | 0 | valid |
Compiled 813 to 78 computations (90.4% saved)
ival-mult: 51.0ms (29.4% of total)ival-add: 27.0ms (15.5% of total)ival-div: 25.0ms (14.4% of total)adjust: 20.0ms (11.5% of total)ival-pow: 20.0ms (11.5% of total)ival-sqrt: 11.0ms (6.3% of total)ival-sub: 7.0ms (4% of total)ival-pow2: 6.0ms (3.5% of total)const: 4.0ms (2.3% of total)ival-neg: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (patch (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation:binary64>) () ()) |
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation:binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #<representation:binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation:binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal -3 binary64) c) (patch (*.f64 #s(literal -3 binary64) c) #<representation:binary64>) () ()) |
#s(alt (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) #<representation:binary64>) () ()) |
#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/6 binary64) a) (patch (*.f64 #s(literal -1/6 binary64) a) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ()) |
#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)) #<representation:binary64>) () ()) |
#s(alt (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b)) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -3/8 (/ (pow c 2) (pow b 3))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) #<representation:binary64>) () ())) ()) |
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#s(alt (* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))) (taylor inf c) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -3 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (* 2 (/ (pow b 2) c))))) (taylor inf c) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -3 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (* 2 (/ (pow b 2) c)))))) (taylor inf c) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -3 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (* 2 (/ (pow b 2) c))))))) (taylor inf c) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #<representation:binary64>) () ())) ()) |
#s(alt (* -3 c) (taylor inf c) (#s(alt (*.f64 #s(literal -3 binary64) c) (patch (*.f64 #s(literal -3 binary64) c) #<representation:binary64>) () ())) ()) |
#s(alt (* -3 c) (taylor inf c) (#s(alt (*.f64 #s(literal -3 binary64) c) (patch (*.f64 #s(literal -3 binary64) c) #<representation:binary64>) () ())) ()) |
#s(alt (* -3 c) (taylor inf c) (#s(alt (*.f64 #s(literal -3 binary64) c) (patch (*.f64 #s(literal -3 binary64) c) #<representation:binary64>) () ())) ()) |
#s(alt (* -3 c) (taylor inf c) (#s(alt (*.f64 #s(literal -3 binary64) c) (patch (*.f64 #s(literal -3 binary64) c) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* b (sqrt -3)))) (taylor inf c) (#s(alt (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (/ (pow b 2) c))) (taylor inf c) (#s(alt (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (/ (pow b 2) c)))) (taylor inf c) (#s(alt (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (/ (pow b 2) c))))) (taylor inf c) (#s(alt (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b)) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1/3 (* (sqrt (/ c a)) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))) (* 1/3 (/ (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))))) a))) a)) (taylor -inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2)))))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (* (sqrt 3) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2)))))) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) a))) a)) (* -1/3 (* (sqrt (/ c a)) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) a)) (taylor -inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (- (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (* (sqrt 3) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2)))))) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))))) (* -1/3 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (* (sqrt -1) (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))))))) (* (sqrt 3) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (* (sqrt 3) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2)))))) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))))) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))) a))) a)) (* -1/3 (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))))))) a)) (* -1/3 (* (sqrt (/ c a)) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) a)) (taylor -inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (pow c 2)) (taylor -inf a) (#s(alt (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (pow c 2)) (taylor -inf a) (#s(alt (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (pow c 2)) (taylor -inf a) (#s(alt (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (pow c 2)) (taylor -inf a) (#s(alt (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))) (taylor -inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b)) #<representation:binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | c | @ | inf | ((+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) 3) a))) (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* -3 c) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (/ (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (* 3 a)) (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (/ (* (pow c 3) -9/16) (pow b 5)) (/ (pow c 4) (pow b 6)) (* -1/6 a) (+ (* (* -3 c) a) (* b b)) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) 3) a)) (pow (* c a) 2) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) |
| 22.0ms | c | @ | -inf | ((+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) 3) a))) (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* -3 c) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (/ (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (* 3 a)) (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (/ (* (pow c 3) -9/16) (pow b 5)) (/ (pow c 4) (pow b 6)) (* -1/6 a) (+ (* (* -3 c) a) (* b b)) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) 3) a)) (pow (* c a) 2) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) |
| 21.0ms | a | @ | 0 | ((+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) 3) a))) (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* -3 c) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (/ (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (* 3 a)) (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (/ (* (pow c 3) -9/16) (pow b 5)) (/ (pow c 4) (pow b 6)) (* -1/6 a) (+ (* (* -3 c) a) (* b b)) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) 3) a)) (pow (* c a) 2) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) |
| 19.0ms | b | @ | inf | ((+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) 3) a))) (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* -3 c) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (/ (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (* 3 a)) (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (/ (* (pow c 3) -9/16) (pow b 5)) (/ (pow c 4) (pow b 6)) (* -1/6 a) (+ (* (* -3 c) a) (* b b)) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) 3) a)) (pow (* c a) 2) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) |
| 18.0ms | a | @ | inf | ((+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) 3) a))) (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* -3 c) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (/ (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (* 3 a)) (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (/ (* (pow c 3) -9/16) (pow b 5)) (/ (pow c 4) (pow b 6)) (* -1/6 a) (+ (* (* -3 c) a) (* b b)) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) 3) a)) (pow (* c a) 2) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) |
| 1× | egg-herbie |
| 6 970× | lower-*.f64 |
| 6 970× | lower-*.f32 |
| 5 006× | lower-+.f64 |
| 5 006× | lower-+.f32 |
| 4 988× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2844 | 29313 |
| 1 | 7976 | 29254 |
| 0 | 8128 | 28085 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* -3/2 (/ c b)) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(pow b 2) |
(+ (* c (+ (* -3 a) (* 3/2 a))) (pow b 2)) |
(+ (* c (+ (* -3 a) (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)))) (pow b 2)) |
(+ (* c (+ (* -3 a) (+ (* 3/2 a) (* c (+ (* 9/8 (/ (pow a 2) (pow b 2))) (* 27/16 (/ (* (pow a 3) c) (pow b 4)))))))) (pow b 2)) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(* 3/2 (* a c)) |
(* c (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a))) |
(* c (+ (* 3/2 a) (* c (+ (* 9/8 (/ (pow a 2) (pow b 2))) (* 27/16 (/ (* (pow a 3) c) (pow b 4))))))) |
(* c (+ (* 3/2 a) (* c (+ (* 9/8 (/ (pow a 2) (pow b 2))) (* c (+ (* 1/2 (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))))) (* 27/16 (/ (pow a 3) (pow b 4))))))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (* 9/4 (/ (pow a 2) (pow b 3)))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (+ (* 9/4 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (* 3/4 (* a (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))))))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (+ (* 9/4 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (+ (* 3/4 (* a (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))) (* c (- (+ (* -81/8 (/ (pow a 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))))) (+ (* 3/4 (* a (* b (+ (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 8))))))) (* 81/32 (/ (pow a 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) b)))))))))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* -3/2 (* a (* b c))) |
(* c (- (* c (- (* -9/2 (/ (pow a 2) b)) (* -9/8 (/ (pow a 2) b)))) (* 3/2 (* a b)))) |
(* c (- (* c (- (+ (* -9/2 (/ (pow a 2) b)) (* -27/16 (/ (* (pow a 3) c) (pow b 3)))) (* -9/8 (/ (pow a 2) b)))) (* 3/2 (* a b)))) |
(* c (- (* c (- (+ (* -9/2 (/ (pow a 2) b)) (* c (- (* c (- (* -81/8 (/ (pow a 4) (pow b 5))) (* -1/2 (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))))))) (* 27/16 (/ (pow a 3) (pow b 3)))))) (* -9/8 (/ (pow a 2) b)))) (* 3/2 (* a b)))) |
(* -1/2 (/ c b)) |
(* c (- (* 1/3 (* c (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* 1/3 (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))) (pow b 3))) (* 3/4 (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))))) (* 1/3 (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* 1/3 (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3))))) (* c (+ (* 1/3 (* c (- (+ (* -81/8 (/ (pow a 3) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))))) (+ (* 3/4 (* b (+ (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 8)))))) (* 81/32 (/ (pow a 3) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) (* a b)))))) (* 1/3 (+ (* -27/16 (/ (pow a 2) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))) (pow b 3))) (* 3/4 (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))))))))) (* 1/2 (/ 1 b)))) |
(pow b 3) |
(+ (* -9/2 (/ (* (pow a 2) (pow c 2)) b)) (pow b 3)) |
(+ (* (pow c 2) (+ (* -81/8 (/ (* (pow a 4) (pow c 2)) (pow b 5))) (* -9/2 (/ (pow a 2) b)))) (pow b 3)) |
(+ (* (pow c 2) (+ (* -9/2 (/ (pow a 2) b)) (* (pow c 2) (+ (* -729/16 (/ (* (pow a 6) (pow c 2)) (pow b 9))) (* -81/8 (/ (pow a 4) (pow b 5))))))) (pow b 3)) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* 3/2 (/ (* a c) b)) |
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* -1/2 (/ c (pow b 3))) |
(* c (- (* 1/3 (* c (- (* -9/8 (/ a (pow b 5))) (* -3/2 (/ (+ (* -3 a) (* 3/2 a)) (pow b 5)))))) (* 1/2 (/ 1 (pow b 3))))) |
(* c (- (* c (+ (* -1/3 (/ (* c (* (+ (* -3 a) (* 3/2 a)) (- (* -9/8 (/ a (pow b 5))) (* -3/2 (/ (+ (* -3 a) (* 3/2 a)) (pow b 5)))))) (pow b 2))) (* 1/3 (- (* -9/8 (/ a (pow b 5))) (* -3/2 (/ (+ (* -3 a) (* 3/2 a)) (pow b 5))))))) (* 1/2 (/ 1 (pow b 3))))) |
(* c (- (* c (+ (* 1/3 (- (* -9/8 (/ a (pow b 5))) (* -3/2 (/ (+ (* -3 a) (* 3/2 a)) (pow b 5))))) (* c (+ (* -1/3 (/ (* (+ (* -3 a) (* 3/2 a)) (- (* -9/8 (/ a (pow b 5))) (* -3/2 (/ (+ (* -3 a) (* 3/2 a)) (pow b 5))))) (pow b 2))) (* 1/3 (* c (- (* -1/2 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) (* a (pow b 3)))) (+ (* -81/32 (/ (pow a 3) (pow b 9))) (+ (* -1 (/ (* (pow (+ (* -3 a) (* 3/2 a)) 2) (- (* -9/8 (/ a (pow b 5))) (* -3/2 (/ (+ (* -3 a) (* 3/2 a)) (pow b 5))))) (pow b 4))) (* 9/8 (/ (* (pow a 2) (- (* -9/8 (/ a (pow b 5))) (* -3/2 (/ (+ (* -3 a) (* 3/2 a)) (pow b 5))))) (pow b 4)))))))))))) (* 1/2 (/ 1 (pow b 3))))) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(pow b 3) |
(+ (* 3/2 (* a (* b c))) (pow b 3)) |
(+ (* c (+ (* -9/8 (/ (* (pow a 2) c) b)) (* 3/2 (* a b)))) (pow b 3)) |
(+ (* c (+ (* 3/2 (* a b)) (* c (+ (* -9/8 (/ (pow a 2) b)) (* 27/16 (/ (* (pow a 3) c) (pow b 3))))))) (pow b 3)) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))) |
(* c (+ (* -3 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (* 2 (/ (pow b 2) c))))) |
(* c (+ (* -3 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (* 2 (/ (pow b 2) c)))))) |
(* c (+ (* -3 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (* 2 (/ (pow b 2) c))))))) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -3)))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (/ (pow b 2) c))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (/ (pow b 2) c)))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (/ (pow b 2) c))))) |
(* (sqrt (/ c a)) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b)) |
(* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))))))))) |
(* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3))))))))))) |
(* c (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (* (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (* b (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b)) (+ (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3))))))) (* (sqrt (/ 1 (* a (pow c 9)))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 5) (pow (sqrt 3) 3)))))))))))))) |
(* c (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) |
(* c (- (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))))) |
(* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))))) |
(* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 8) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))))))) |
(* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b))) |
(* c (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2))))) |
(* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2)))))) |
(* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b))) (+ (* 1/3 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (* b (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 5) (pow (sqrt 3) 3))))))))) (pow c 4))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2))))))) |
(* a (* b (* c (sqrt -9)))) |
(* c (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9))))) |
(* c (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))))) |
(* c (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9))))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(* -3 (* a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* 1/3 (* (sqrt (/ 1 (* a c))) (/ (sqrt -3) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))))) |
(+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (sqrt -3) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (* 1/3 (/ (- (* -1 (/ b (* a (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2))))) c))) |
(+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (sqrt -3) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* 1/3 (/ (- (* -1 (/ b (* a (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2))))) c)) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (* (sqrt -3) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (+ (* -1/2 (/ (pow b 3) (* a (pow (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (* a (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))))) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (pow c 2))))) |
(+ (* -1/3 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (- (* -1 (/ b (* a (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))))) (* (sqrt -3) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (* (sqrt -3) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (+ (* -1/2 (/ (pow b 3) (* a (pow (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (* a (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))))) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))))))) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (pow c 3))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (sqrt -3) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* 1/3 (/ (- (* -1 (/ b (* a (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2))))) c)) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (* (sqrt -3) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (+ (* -1/2 (/ (pow b 3) (* a (pow (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (* a (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))))) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (pow c 2)))))) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (sqrt (* a c)) (* (pow b 2) (sqrt 3))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 8) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))) |
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2 (pow b 2))) c)) (* 3 a))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 2 (pow b 2))) c)) (* 3 a))))) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(* -3 c) |
(* (sqrt (* a c)) (* b (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* -1 (/ (pow b 2) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (pow b 2)) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (pow b 2)) c))))) |
(* -1 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) |
(* -1 (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))) |
(* -1 (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (* b (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) c)) (* -1/54 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow c 3))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -1 (* c (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (- (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))) |
(* -1 (* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))))) |
(* -1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2)))))) |
(* -1 (* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (* b (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) c)) (* -1/162 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow c 3))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2))))))) |
(* -1 (* a (* b (* c (sqrt -9))))) |
(* -1 (* c (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))))) |
(* -1 (* c (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9))))))) |
(* -1 (* c (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9)))))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(* -3 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a))))) |
(+ (* -1/3 (/ (- (* -1 (/ b (* a (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) 2))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))))) |
(+ (* -1 (/ (+ (* -1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (* (sqrt 3) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))))) (+ (* -1/2 (/ (pow b 3) (* a (pow (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) 2)))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (* a (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) 2)))))) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))))) c)) (* 1/3 (- (* -1 (/ b (* a (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) 2))))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (- (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (* (sqrt 3) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))))) (+ (* -1/2 (/ (pow b 3) (* a (pow (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) 2)))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (* a (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) 2)))))) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a))))))) (* 1/3 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (* (sqrt -1) (- (* -1 (/ b (* a (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) 2))))))) (* (sqrt 3) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (* (sqrt 3) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))))) (+ (* -1/2 (/ (pow b 3) (* a (pow (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) 2)))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (* a (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) 2)))))) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a))))))) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a))))) c))) c)) (* 1/3 (- (* -1 (/ b (* a (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a))))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) 2))))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))))) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* -1 (* (sqrt (* a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (* -1 (* (sqrt (* a c)) (* b (sqrt -3))))) |
(+ (* -3 (* a c)) (* b (+ (* -1 (* (sqrt (* a c)) (sqrt -3))) (* 2 b)))) |
(+ (* -3 (* a c)) (* b (+ (* -1 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 2 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3))))))))) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -3)))) |
(* b (+ b (* -1 (* (sqrt (* a c)) (sqrt -3))))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))))))) |
(* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3))) |
(+ (* -1 (* b (* (sqrt 1/3) (sqrt 3)))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* b (+ (* -1 (* (sqrt 1/3) (sqrt 3))) (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (* b (sqrt -9)) (sqrt 1/3)))))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* b (+ (* -1 (* (sqrt 1/3) (sqrt 3))) (* b (+ (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/2 (/ (sqrt 1/3) (* a (* c (sqrt 3))))) (* 1/18 (/ (sqrt 3) (* a (* c (sqrt 1/3))))))))))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(* a (* b (* c (sqrt -9)))) |
(* b (+ (* -1 (* (sqrt (* a c)) (* b (sqrt 3)))) (* a (* c (sqrt -9))))) |
(* b (+ (* a (* c (sqrt -9))) (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3)))))) |
(* b (+ (* a (* c (sqrt -9))) (* b (- (* (pow b 2) (- (* 1/2 (/ b (* a (* c (sqrt -9))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))))) (* (sqrt (* a c)) (sqrt 3)))))) |
(* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* -1/3 (/ (* b (* (sqrt 1/3) (sqrt 3))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (sqrt -9)) (sqrt 1/3))))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* b (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (sqrt -9) (sqrt 1/3)))) (* 1/3 (* b (+ (* -1/2 (/ (sqrt 1/3) (* (pow a 2) (* c (sqrt 3))))) (* 1/18 (/ (sqrt 3) (* (pow a 2) (* c (sqrt 1/3))))))))))))) |
(* a (* b (* c (sqrt -9)))) |
(* b (+ (* 1/2 (/ (pow b 4) (* a (* c (sqrt -9))))) (* a (* c (sqrt -9))))) |
(* b (+ (* a (* c (sqrt -9))) (* (pow b 4) (+ (* -1/8 (/ (pow b 4) (* (pow a 3) (* (pow c 3) (pow (sqrt -9) 3))))) (* 1/2 (/ 1 (* a (* c (sqrt -9))))))))) |
(* b (+ (* a (* c (sqrt -9))) (* (pow b 4) (+ (* (pow b 4) (- (* 1/16 (/ (pow b 4) (* (pow a 5) (* (pow c 5) (pow (sqrt -9) 5))))) (* 1/8 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -9) 3))))))) (* 1/2 (/ 1 (* a (* c (sqrt -9))))))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(- b (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(* -1/9 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -3))) |
(+ (* -1/9 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -3))) (* 1/3 (* b (- (* 1/3 (/ 1 (* (pow a 2) c))) (* -1/9 (/ (pow (sqrt -3) 2) (* (pow a 2) c))))))) |
(+ (* -1/9 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -3))) (* b (+ (* 1/3 (* b (- (* -1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (sqrt -3)))) (+ (* 2/9 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (sqrt -3))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (- (* 1/3 (/ 1 (* (pow a 2) c))) (* -1/9 (/ (pow (sqrt -3) 2) (* (pow a 2) c))))))))))) (* 1/3 (- (* 1/3 (/ 1 (* (pow a 2) c))) (* -1/9 (/ (pow (sqrt -3) 2) (* (pow a 2) c)))))))) |
(+ (* -1/9 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -3))) (* b (+ (* 1/3 (- (* 1/3 (/ 1 (* (pow a 2) c))) (* -1/9 (/ (pow (sqrt -3) 2) (* (pow a 2) c))))) (* b (+ (* 1/3 (* b (- (* 1/18 (/ 1 (* (pow a 3) (pow c 2)))) (+ (* -2/3 (/ (- (* 1/3 (/ 1 (* (pow a 2) c))) (* -1/9 (/ (pow (sqrt -3) 2) (* (pow a 2) c)))) (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (- (* -1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (sqrt -3)))) (+ (* 2/9 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (sqrt -3))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (- (* 1/3 (/ 1 (* (pow a 2) c))) (* -1/9 (/ (pow (sqrt -3) 2) (* (pow a 2) c)))))))))))))))) (* 1/3 (- (* -1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (sqrt -3)))) (+ (* 2/9 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (sqrt -3))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (- (* 1/3 (/ 1 (* (pow a 2) c))) (* -1/9 (/ (pow (sqrt -3) 2) (* (pow a 2) c))))))))))))))) |
(* (sqrt (* a c)) (* (pow b 2) (sqrt 3))) |
(* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3)))) |
(* (pow b 2) (+ (* (sqrt (* a c)) (sqrt 3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))))))) |
(* (pow b 2) (+ (* (sqrt (* a c)) (sqrt 3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt 3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt 3) 5)))))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -3/2 (/ c b)) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(pow b 2) |
(* (pow b 2) (- (+ 1 (* -3 (/ (* a c) (pow b 2)))) (* -3/2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (+ (* -3 (/ (* a c) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) (* -3/2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (+ (* -3 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 3/2 (* a c)) |
(+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) |
(+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) |
(+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) |
(* -3/2 (/ (* a c) b)) |
(/ (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -3/2 (* a c)) (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* -1/2 (/ (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2))))) (pow b 6))) (+ (* 3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 3/4 (/ (* a (* c (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))))) (pow b 6))) (+ (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 81/32 (/ (* (pow a 4) (pow c 4)) (pow b 6)))))))))))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))))) b) |
(* -3/2 (* a (* b c))) |
(* b (- (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))))) |
(* b (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))))) |
(* b (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2))))) b) |
(/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (+ (* 1/3 (/ (- (+ (* -81/8 (* (pow a 3) (pow c 4))) (+ (* -1/2 (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2)))))) (+ (* 3/4 (* c (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))))) (* 81/32 (* (pow a 3) (pow c 4)))))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a))) (pow b 6))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))))) b) |
(pow b 3) |
(* (pow b 3) (+ 1 (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) |
(* (pow b 3) (+ 1 (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 3) (+ 1 (+ (* -729/16 (/ (* (pow a 6) (pow c 6)) (pow b 12))) (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* 3/2 (/ (* a c) b)) |
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b) |
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* -1/2 (/ c (pow b 3))) |
(/ (+ (* -1/2 c) (* 1/3 (/ (- (* -9/8 (* a (pow c 2))) (* -3/2 (* c (- (* -3 (* a c)) (* -3/2 (* a c)))))) (pow b 2)))) (pow b 3)) |
(/ (+ (* -1/2 c) (+ (* -1/3 (/ (* (- (* -3 (* a c)) (* -3/2 (* a c))) (- (* -9/8 (* a (pow c 2))) (* -3/2 (* c (- (* -3 (* a c)) (* -3/2 (* a c))))))) (pow b 4))) (* 1/3 (/ (- (* -9/8 (* a (pow c 2))) (* -3/2 (* c (- (* -3 (* a c)) (* -3/2 (* a c)))))) (pow b 2))))) (pow b 3)) |
(/ (+ (* -1/2 c) (+ (* -1/3 (/ (* (- (* -3 (* a c)) (* -3/2 (* a c))) (- (* -9/8 (* a (pow c 2))) (* -3/2 (* c (- (* -3 (* a c)) (* -3/2 (* a c))))))) (pow b 4))) (+ (* 1/3 (/ (- (* -9/8 (* a (pow c 2))) (* -3/2 (* c (- (* -3 (* a c)) (* -3/2 (* a c)))))) (pow b 2))) (* 1/3 (/ (- (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a)) (+ (* -81/32 (* (pow a 3) (pow c 4))) (+ (* -1 (* (pow (- (* -3 (* a c)) (* -3/2 (* a c))) 2) (- (* -9/8 (* a (pow c 2))) (* -3/2 (* c (- (* -3 (* a c)) (* -3/2 (* a c)))))))) (* 9/8 (* (pow a 2) (* (pow c 2) (- (* -9/8 (* a (pow c 2))) (* -3/2 (* c (- (* -3 (* a c)) (* -3/2 (* a c)))))))))))) (pow b 6)))))) (pow b 3)) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 3/2 (/ (* a c) (pow b 2))))) |
(* (pow b 3) (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))) |
(* (pow b 3) (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* 3 (pow b 2)) |
(* (pow b 2) (+ 3 (+ (* -3 (/ (* a c) (pow b 2))) (* -3/2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 3 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 3 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (* -3/2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 2) (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -1 (/ (+ (* -3/2 (* a c)) (* 3 (* a c))) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -1 (/ (+ (* -3/2 (* a c)) (* 3 (* a c))) (pow b 2))) (* -1 (/ (- (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2)))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -1 (/ (+ (* -27/16 (* (pow a 3) (pow c 3))) (+ (* -3/2 (* a (* c (- (* 9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2))))))) (+ (* 3/4 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3))))))) (pow b 6))) (+ (* -1 (/ (+ (* -3/2 (* a c)) (* 3 (* a c))) (pow b 2))) (* -1 (/ (- (+ (* -9 (* (pow a 2) (pow c 2))) (* 9 (* (pow a 2) (pow c 2)))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 4)))))))) |
(* 2 (pow b 3)) |
(* -1 (* (pow b 3) (- (* -3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* (pow b 3) (- (* 9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))) |
(* -1 (* (pow b 3) (- (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (* 9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (+ 2 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/3 (/ (+ (* -3/2 c) (* 3 c)) (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/3 (/ (+ (* -3/2 c) (* 3 c)) (pow b 2))) (+ (* -1/3 (/ (- (+ (* -9 (* a (pow c 2))) (* 9 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* 9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (+ (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (+ (* 3/2 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (* 27 (* (pow a 2) (pow c 3))))))) (pow b 6))) (+ (* -1/3 (/ (+ (* -3/2 c) (* 3 c)) (pow b 2))) (+ (* -1/3 (/ (- (+ (* -9 (* a (pow c 2))) (* 9 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(pow b 3) |
(* -1 (* (pow b 3) (- (* 9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1))) |
(* -1 (* (pow b 3) (- (+ (* 9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8)))) 1))) |
(* -1 (* (pow b 3) (- (+ (* 9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* 729/16 (/ (* (pow a 6) (pow c 6)) (pow b 12))))) 1))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* 2 b) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(/ -2/9 (* a b)) |
(* -1 (/ (+ (* 1/3 (/ (- (* -1/2 c) (* 2/9 (/ (+ (* -3 (* a c)) (* -3/2 (* a c))) a))) (pow b 2))) (* 2/9 (/ 1 a))) b)) |
(* -1 (/ (+ (* 1/3 (/ (- (* -1/2 c) (* 2/9 (/ (+ (* -3 (* a c)) (* -3/2 (* a c))) a))) (pow b 2))) (+ (* 1/3 (/ (- (* -3/8 (* a (pow c 2))) (+ (* -1/4 (* a (pow c 2))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* -1/2 c) (* 2/9 (/ (+ (* -3 (* a c)) (* -3/2 (* a c))) a))))))) (pow b 4))) (* 2/9 (/ 1 a)))) b)) |
(* -1 (/ (+ (* 1/3 (/ (- (* -9/16 (* (pow a 2) (pow c 3))) (+ (* -3/8 (* (pow a 2) (* (pow c 2) (- (* -1/2 c) (* 2/9 (/ (+ (* -3 (* a c)) (* -3/2 (* a c))) a)))))) (+ (* -3/8 (* (pow a 2) (pow c 3))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* -3/8 (* a (pow c 2))) (+ (* -1/4 (* a (pow c 2))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* -1/2 c) (* 2/9 (/ (+ (* -3 (* a c)) (* -3/2 (* a c))) a)))))))))))) (pow b 6))) (+ (* 1/3 (/ (- (* -1/2 c) (* 2/9 (/ (+ (* -3 (* a c)) (* -3/2 (* a c))) a))) (pow b 2))) (+ (* 1/3 (/ (- (* -3/8 (* a (pow c 2))) (+ (* -1/4 (* a (pow c 2))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* -1/2 c) (* 2/9 (/ (+ (* -3 (* a c)) (* -3/2 (* a c))) a))))))) (pow b 4))) (* 2/9 (/ 1 a))))) b)) |
(* -1 (pow b 3)) |
(* -1 (* (pow b 3) (+ 1 (* 3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* (pow b 3) (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* (pow b 3) (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(pow b 2) |
(+ (* a (+ (* -3 c) (* 3/2 c))) (pow b 2)) |
(+ (* a (+ (* -3 c) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)))) (pow b 2)) |
(+ (* a (+ (* -3 c) (+ (* 3/2 c) (* a (+ (* 9/8 (/ (pow c 2) (pow b 2))) (* 27/16 (/ (* a (pow c 3)) (pow b 4)))))))) (pow b 2)) |
(* 3/2 (* a c)) |
(* a (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c))) |
(* a (+ (* 3/2 c) (* a (+ (* 9/8 (/ (pow c 2) (pow b 2))) (* 27/16 (/ (* a (pow c 3)) (pow b 4))))))) |
(* a (+ (* 3/2 c) (* a (+ (* 9/8 (/ (pow c 2) (pow b 2))) (* a (+ (* 1/2 (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))))) (* 27/16 (/ (pow c 3) (pow b 4))))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (+ (* 9/4 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))))))))))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (+ (* 9/4 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (+ (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))) (* a (- (+ (* -81/8 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))))) (+ (* 3/4 (* b (* c (+ (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 8))))))) (* 81/32 (/ (pow c 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b)))))))))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* -3/2 (* a (* b c))) |
(* a (- (* a (- (* -9/2 (/ (pow c 2) b)) (* -9/8 (/ (pow c 2) b)))) (* 3/2 (* b c)))) |
(* a (- (* a (- (+ (* -9/2 (/ (pow c 2) b)) (* -27/16 (/ (* a (pow c 3)) (pow b 3)))) (* -9/8 (/ (pow c 2) b)))) (* 3/2 (* b c)))) |
(* a (- (* a (- (+ (* -9/2 (/ (pow c 2) b)) (* a (- (* a (- (* -81/8 (/ (pow c 4) (pow b 5))) (* -1/2 (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))))))) (* 27/16 (/ (pow c 3) (pow b 3)))))) (* -9/8 (/ (pow c 2) b)))) (* 3/2 (* b c)))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* 1/3 (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* 1/3 (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))))))) (* 1/3 (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* 1/3 (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* a (+ (* 1/3 (* a (- (+ (* -81/8 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))))) (+ (* 3/4 (* b (* c (+ (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 8))))))) (* 81/32 (/ (pow c 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b))))) (* 1/3 (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))))))))))) |
(pow b 3) |
(+ (* -9/2 (/ (* (pow a 2) (pow c 2)) b)) (pow b 3)) |
(+ (* (pow a 2) (+ (* -81/8 (/ (* (pow a 2) (pow c 4)) (pow b 5))) (* -9/2 (/ (pow c 2) b)))) (pow b 3)) |
(+ (* (pow a 2) (+ (* -9/2 (/ (pow c 2) b)) (* (pow a 2) (+ (* -729/16 (/ (* (pow a 2) (pow c 6)) (pow b 9))) (* -81/8 (/ (pow c 4) (pow b 5))))))) (pow b 3)) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* 3/2 (/ (* a c) b)) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* -1/2 (/ c (pow b 3))) |
(+ (* -1/2 (/ c (pow b 3))) (* 1/3 (* a (- (* -9/8 (/ (pow c 2) (pow b 5))) (* -3/2 (/ (* c (+ (* -3 c) (* 3/2 c))) (pow b 5))))))) |
(+ (* -1/2 (/ c (pow b 3))) (* a (+ (* -1/3 (/ (* a (* (+ (* -3 c) (* 3/2 c)) (- (* -9/8 (/ (pow c 2) (pow b 5))) (* -3/2 (/ (* c (+ (* -3 c) (* 3/2 c))) (pow b 5)))))) (pow b 2))) (* 1/3 (- (* -9/8 (/ (pow c 2) (pow b 5))) (* -3/2 (/ (* c (+ (* -3 c) (* 3/2 c))) (pow b 5)))))))) |
(+ (* -1/2 (/ c (pow b 3))) (* a (+ (* 1/3 (- (* -9/8 (/ (pow c 2) (pow b 5))) (* -3/2 (/ (* c (+ (* -3 c) (* 3/2 c))) (pow b 5))))) (* a (+ (* -1/3 (/ (* (+ (* -3 c) (* 3/2 c)) (- (* -9/8 (/ (pow c 2) (pow b 5))) (* -3/2 (/ (* c (+ (* -3 c) (* 3/2 c))) (pow b 5))))) (pow b 2))) (* 1/3 (* a (- (* -1/2 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) (pow b 3))) (+ (* -81/32 (/ (pow c 4) (pow b 9))) (+ (* -1 (/ (* (pow (+ (* -3 c) (* 3/2 c)) 2) (- (* -9/8 (/ (pow c 2) (pow b 5))) (* -3/2 (/ (* c (+ (* -3 c) (* 3/2 c))) (pow b 5))))) (pow b 4))) (* 9/8 (/ (* (pow c 2) (- (* -9/8 (/ (pow c 2) (pow b 5))) (* -3/2 (/ (* c (+ (* -3 c) (* 3/2 c))) (pow b 5))))) (pow b 4))))))))))))) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(pow b 3) |
(+ (* 3/2 (* a (* b c))) (pow b 3)) |
(+ (* a (+ (* -9/8 (/ (* a (pow c 2)) b)) (* 3/2 (* b c)))) (pow b 3)) |
(+ (* a (+ (* 3/2 (* b c)) (* a (+ (* -9/8 (/ (pow c 2) b)) (* 27/16 (/ (* a (pow c 3)) (pow b 3))))))) (pow b 3)) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))))) |
(* a (+ (* -3 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))) (* 2 (/ (pow b 2) a))))) |
(* a (+ (* -3 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (* 2 (/ (pow b 2) a)))))) |
(* a (+ (* -3 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (* 2 (/ (pow b 2) a))))))) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -3)))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))) (/ (pow b 2) a))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (/ (pow b 2) a)))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (/ (pow b 2) a))))) |
(* (sqrt (/ a c)) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b)) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3))))))))))) |
(* a (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (* (+ (* 1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (* b (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b)) (+ (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3))))))) (* (sqrt (/ 1 (* (pow a 9) c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 5) (pow (sqrt 3) 3)))))))))))))) |
(* a (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) |
(* a (- (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3)))))) |
(* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))))) |
(* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 8) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3)))))))) |
(* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b))) |
(+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2)))) |
(+ (* 1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2))))) |
(+ (* 1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) b))) (+ (* 1/3 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (+ (* 1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (* b (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 5) (pow (sqrt 3) 3))))))))) (pow a 4))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2)))))) |
(* a (* b (* c (sqrt -9)))) |
(* a (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9))))) |
(* a (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))))) |
(* a (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9))))))) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* 1/3 (* (sqrt (/ c (pow a 3))) (/ (sqrt -3) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))))))) |
(/ (+ (* 1/3 (* (sqrt (/ c a)) (/ (sqrt -3) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (* 1/3 (/ (- (* -1 (/ b (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2))))) a))) a) |
(/ (+ (* 1/3 (* (sqrt (/ c a)) (/ (sqrt -3) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* 1/3 (/ (- (* -1 (/ b (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2))))) a)) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a c)) (/ (pow b 2) (* (sqrt -3) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2)))))) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (pow a 2))))) a) |
(/ (+ (* -1/3 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (- (* -1 (/ b (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2)))))) (* (sqrt -3) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (/ (pow b 2) (* (sqrt -3) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2)))))) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))))))))) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (pow a 3))) (+ (* 1/3 (* (sqrt (/ c a)) (/ (sqrt -3) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* 1/3 (/ (- (* -1 (/ b (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2))))) a)) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a c)) (/ (pow b 2) (* (sqrt -3) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2)))))) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (pow a 2)))))) a) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (sqrt (* a c)) (* (pow b 2) (sqrt 3))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3)))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 8) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) |
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2 (pow b 2))) a)) (* 3 c))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 2 (pow b 2))) a)) (* 3 c))))) |
(* (sqrt (* a c)) (* b (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* -1 (/ (pow b 2) a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (pow b 2)) a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (pow b 2)) a))))) |
(* -1 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) |
(* -1 (* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))) |
(* -1 (* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (* b (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) a)) (* -1/54 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -1 (* a (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (- (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))) |
(* -1 (* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))))) |
(* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2)))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (+ (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2))) (* -1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))))) |
(+ (* -1 (/ (+ (* 1/162 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* 1/3 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (* b (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) a))) (pow a 3))) (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* b (* (sqrt -1) (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2))))) |
(* -1 (* a (* b (* c (sqrt -9))))) |
(* -1 (* a (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))))) |
(* -1 (* a (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9))))))) |
(* -1 (* a (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))))))) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -3 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))) |
(* -1 (/ (+ (* -1/3 (* (sqrt (/ c a)) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))) (* 1/3 (/ (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))))) a))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/3 (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2)))))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (* (sqrt 3) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2)))))) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) a))) a)) (* -1/3 (* (sqrt (/ c a)) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (- (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (* (sqrt 3) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2)))))) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))))) (* -1/3 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (* (sqrt -1) (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))))))) (* (sqrt 3) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (* (sqrt 3) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2)))))) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))))) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))) a))) a)) (* -1/3 (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))))))) a)) (* -1/3 (* (sqrt (/ c a)) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) a)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (pow c 2)) |
(* -1 (* (sqrt (* a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))) |
| Outputs |
|---|
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (*.f64 c c) (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (*.f64 #s(literal -9/16 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) (neg.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
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(* (pow a 2) (pow c 2)) |
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(* (pow a 2) (pow c 2)) |
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(* (sqrt (* a c)) (* (pow b 2) (sqrt 3))) |
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(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
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(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
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(* 405/64 (/ (pow c 4) (pow b 7))) |
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(* 405/64 (/ (pow c 4) (pow b 7))) |
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
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(* -1 (* a (* b (* c (sqrt -9))))) |
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(* -3 (* a c)) |
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(* (pow a 2) (pow c 2)) |
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(* (pow a 2) (pow c 2)) |
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(* (pow a 2) (pow c 2)) |
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(* (pow a 2) (pow c 2)) |
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(* -1 (* (sqrt (* a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) |
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(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
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(* 405/64 (/ (pow c 4) (pow b 7))) |
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(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
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(neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) #s(literal 2 binary64))))) a) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/3 (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2)))))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (* (sqrt 3) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2)))))) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) a))) a)) (* -1/3 (* (sqrt (/ c a)) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) a)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))))) (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) #s(literal 2 binary64))))) (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) #s(literal 2 binary64))))) a) (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 b (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) #s(literal 2 binary64))))))) a))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (- (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (* (sqrt 3) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2)))))) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))))) (* -1/3 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (* (sqrt -1) (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))))))) (* (sqrt 3) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (* (sqrt 3) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2)))))) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))))) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))) a))) a)) (* -1/3 (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))))))) a)) (* -1/3 (* (sqrt (/ c a)) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) a)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 b (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))))) (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) #s(literal 2 binary64))))) (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))))) (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) #s(literal 2 binary64))))) (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) #s(literal 2 binary64))))) (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 b (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) c (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))))))) a))) a))) a))) a)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(* -1 (* (sqrt (* a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) |
(neg.f64 (*.f64 a (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 8 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))) |
| 5 194× | lower-fma.f32 |
| 5 178× | lower-fma.f64 |
| 4 820× | lower-*.f32 |
| 4 784× | lower-*.f64 |
| 3 150× | lower-pow.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 520 |
| 0 | 129 | 516 |
| 1 | 503 | 498 |
| 2 | 4092 | 490 |
| 0 | 8454 | 490 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) |
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(*.f64 #s(literal -1/6 binary64) a) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)) |
(pow.f64 (*.f64 c a) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b)) |
| Outputs |
|---|
(*.f64 (hypot.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c))) (pow.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 27/512 binary64) (pow.f64 c #s(literal 6 binary64))) (pow.f64 b #s(literal -9 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c))) (hypot.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c)))) (fma.f64 (*.f64 #s(literal 27/512 binary64) (pow.f64 c #s(literal 6 binary64))) (pow.f64 b #s(literal -9 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27/512 binary64) (pow.f64 c #s(literal 6 binary64))) (pow.f64 b #s(literal -9 binary64)))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) #s(literal 2 binary64)) (fma.f64 #s(literal 9/64 binary64) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c)))))) |
(/.f64 (neg.f64 (hypot.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 27/512 binary64) (pow.f64 c #s(literal 6 binary64))) (pow.f64 b #s(literal -9 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c)))))) |
(/.f64 (hypot.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c))) (hypot.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c)))) (fma.f64 (*.f64 #s(literal 27/512 binary64) (pow.f64 c #s(literal 6 binary64))) (pow.f64 b #s(literal -9 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 27/512 binary64) (pow.f64 c #s(literal 6 binary64))) (pow.f64 b #s(literal -9 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) #s(literal 3 binary64))) (fma.f64 #s(literal 9/64 binary64) (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 27/512 binary64) (pow.f64 c #s(literal 6 binary64))) (pow.f64 b #s(literal -9 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) #s(literal 3 binary64))) (-.f64 (hypot.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a) (*.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal -3 binary64))) (*.f64 c c))))) |
(fma.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal -3/8 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 3/2 binary64)) (*.f64 c c)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a)) |
(fma.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 3/2 binary64)) (*.f64 c c)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal -3/8 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a)) |
(fma.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 3/2 binary64)) c) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 3/2 binary64)) (*.f64 #s(literal -3/8 binary64) c)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a)) |
(fma.f64 (pow.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64)) (pow.f64 (/.f64 b (*.f64 #s(literal -3/8 binary64) c)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal -5 binary64))) (pow.f64 c #s(literal 3 binary64)))) a)) |
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(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64)) a))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64)) a))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64)) a)) (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64)) a) b)) (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64)) a) #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) a) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64)) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64)) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64)) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64)) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64)) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64)) a)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64)) a))) |
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) (*.f64 #s(literal -3 binary64) a)))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64)) a) #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 b a) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64))))) |
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64))) (/.f64 (/.f64 b a) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64)) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64))) (neg.f64 (/.f64 (/.f64 b a) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (*.f64 (*.f64 c a) c) #s(literal 1 binary64)) a) |
(*.f64 (pow.f64 (*.f64 (*.f64 c a) a) #s(literal 1 binary64)) c) |
(*.f64 (*.f64 (*.f64 c a) c) a) |
(*.f64 (*.f64 (*.f64 c a) a) c) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(*.f64 (*.f64 c a) (*.f64 c a)) |
(*.f64 (*.f64 c c) (*.f64 a a)) |
(*.f64 c (pow.f64 (*.f64 a (*.f64 c a)) #s(literal 1 binary64))) |
(*.f64 c (pow.f64 (*.f64 c (*.f64 a a)) #s(literal 1 binary64))) |
(*.f64 c (*.f64 a (*.f64 c a))) |
(*.f64 c (*.f64 c (*.f64 a a))) |
(*.f64 a (pow.f64 (*.f64 c (*.f64 c a)) #s(literal 1 binary64))) |
(*.f64 a (*.f64 c (*.f64 c a))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 c a))) |
(pow.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 c a) #s(literal 2 binary64)) |
(exp.f64 (+.f64 (log.f64 (*.f64 c a)) (log.f64 (*.f64 c a)))) |
(exp.f64 (fma.f64 (log.f64 a) #s(literal 2 binary64) (*.f64 (log.f64 c) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 c) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c a)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 c a)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b) b) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (*.f64 b b)) |
(*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))) |
(*.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b)) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) #s(literal 1/2 binary64) (*.f64 (log.f64 b) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 2 binary64) (*.f64 (log.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) #s(literal 1/2 binary64)))) |
Compiled 142 103 to 9 250 computations (93.5% saved)
73 alts after pruning (71 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 454 | 57 | 2 511 |
| Fresh | 15 | 14 | 29 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 472 | 73 | 2 545 |
| Status | Accuracy | Program |
|---|---|---|
| 29.4% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 29.9% | (/.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) (*.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64)) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) | |
| 30.5% | (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1/2 binary64)) b) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.2% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) (/.f64 b (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b)) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 31.2% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) |
| 30.6% | (/.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| 30.5% | (/.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (neg.f64 b)) b (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 30.3% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| 30.5% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)))) a) #s(literal 3 binary64)) | |
| 29.2% | (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))))) #s(literal 3 binary64)) | |
| 30.4% | (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64)) | |
| 30.9% | (/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) #s(literal 3 binary64)) | |
| ▶ | 29.4% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
| 29.1% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 29.9% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
| 96.0% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (-.f64 (fma.f64 #s(literal -9/2 binary64) (/.f64 (*.f64 a a) b) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a a) b))) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 93.1% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 93.1% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 a (fma.f64 a (*.f64 (/.f64 (*.f64 c c) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 b c))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 93.3% | (/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) a) #s(literal 3 binary64)) | |
| 93.2% | (/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))))) a) #s(literal 3 binary64)) | |
| 93.5% | (/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 a (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))))) a) #s(literal 3 binary64)) | |
| 82.8% | (/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) a) #s(literal 3 binary64)) | |
| 30.5% | (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 31.0% | (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 30.2% | (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))) (*.f64 b (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b))))) | |
| 29.2% | (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) | |
| 29.9% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 29.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 29.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| 29.9% | (/.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64)) a)) | |
| 30.2% | (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b) (-.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64)) (pow.f64 (*.f64 b (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b))) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) a)) | |
| 29.9% | (/.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) | |
| ▶ | 31.0% | (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
| 30.5% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 29.9% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 93.2% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (/.f64 (fma.f64 #s(literal -9/2 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) (-.f64 (fma.f64 #s(literal 9/4 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) (*.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.8% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 96.8% | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (fma.f64 a (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))) #s(literal 3 binary64)) | |
| 93.3% | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) | |
| 97.5% | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/2 binary64) c (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))))))) b)) #s(literal 3 binary64)) | |
| 97.6% | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 c a) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 3/2 binary64) b))))) #s(literal 3 binary64)) | |
| 96.5% | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 c (fma.f64 c (fma.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 3/2 binary64) b))))) #s(literal 3 binary64)) | |
| 83.1% | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) | |
| 93.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 93.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 29.0% | (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) | |
| 29.4% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| 30.3% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) | |
| 30.4% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) | |
| 29.9% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (fma.f64 b b (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b)))) #s(literal 3 binary64)) a))) | |
| 29.9% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) #s(literal 3 binary64)) a))) | |
| 26.7% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(approx (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (fma.f64 (*.f64 a c) #s(literal -3/2 binary64) (*.f64 b b))) #s(literal 3 binary64)) a))) | |
| 28.1% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(approx (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (fma.f64 c (fma.f64 #s(literal -3 binary64) a (fma.f64 #s(literal 9/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) (*.f64 #s(literal 3/2 binary64) a))) (*.f64 b b))) #s(literal 3 binary64)) a))) | |
| 29.9% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) | |
| 29.0% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64))) (/.f64 (/.f64 b a) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64))))) | |
| 29.9% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (pow.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) (*.f64 #s(literal -3 binary64) a)) #s(literal -1 binary64)))) | |
| 97.5% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) 3) a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c c) (*.f64 #s(literal 3/2 binary64) (*.f64 c (*.f64 (*.f64 a c) #s(literal -3/2 binary64)))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c c) (*.f64 #s(literal 3/2 binary64) (*.f64 c (*.f64 (*.f64 a c) #s(literal -3/2 binary64))))) (*.f64 b b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) a) (neg.f64 (fma.f64 (*.f64 #s(literal -81/32 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c c) (*.f64 #s(literal 3/2 binary64) (*.f64 c (*.f64 (*.f64 a c) #s(literal -3/2 binary64)))))) (neg.f64 (*.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c c) (*.f64 #s(literal 3/2 binary64) (*.f64 c (*.f64 (*.f64 a c) #s(literal -3/2 binary64))))))))))) (pow.f64 b #s(literal 6 binary64))))))) (pow.f64 b #s(literal 3 binary64))))) | |
| 29.9% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 29.9% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 29.9% | (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) | |
| 93.7% | #s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 3 binary64))))) | |
| 93.7% | #s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 96.9% | #s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c))) b)) | |
| 97.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))) | |
| ▶ | 98.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 96.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 82.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| 97.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 96.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 93.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ▶ | 82.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
Compiled 5 223 to 2 861 computations (45.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| cost-diff | 192 | (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 384 | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) | |
| cost-diff | 6784 | (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) | |
| cost-diff | 320 | (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) | |
| cost-diff | 384 | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) | |
| cost-diff | 640 | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| cost-diff | 0 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| cost-diff | 6464 | (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) |
| 5 904× | lower-fma.f32 |
| 5 890× | lower-fma.f64 |
| 5 078× | lower-*.f32 |
| 5 050× | lower-*.f64 |
| 3 018× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 770 |
| 0 | 133 | 774 |
| 1 | 252 | 760 |
| 2 | 601 | 735 |
| 3 | 1606 | 723 |
| 4 | 2970 | 723 |
| 5 | 6066 | 723 |
| 0 | 8104 | 705 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) |
(*.f64 #s(literal -135/128 binary64) (*.f64 a a)) |
#s(literal -135/128 binary64) |
(*.f64 a a) |
a |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))) |
(*.f64 b b) |
b |
(fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) |
(*.f64 #s(literal -9/16 binary64) a) |
#s(literal -9/16 binary64) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 b b)) |
#s(literal -3/8 binary64) |
(*.f64 c c) |
(pow.f64 b #s(literal 7 binary64)) |
#s(literal 7 binary64) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
c |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(*.f64 a b) |
(*.f64 a a) |
#s(literal 3 binary64) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(pow.f64 a #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 (/.f64 b a)) |
(/.f64 b a) |
#s(literal 3 binary64) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) |
(-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
#s(literal 3/2 binary64) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1/3 binary64) a) |
#s(literal 1/3 binary64) |
(fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 (*.f64 (*.f64 c b) b) (*.f64 c (fma.f64 (*.f64 #s(literal -9/16 binary64) c) a (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 (*.f64 (*.f64 c b) b) (*.f64 c (fma.f64 (*.f64 #s(literal -9/16 binary64) c) a (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 (*.f64 (*.f64 c b) b) (*.f64 c (fma.f64 (*.f64 #s(literal -9/16 binary64) c) a (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 (*.f64 (*.f64 c b) b) (*.f64 c (fma.f64 (*.f64 #s(literal -9/16 binary64) c) a (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) |
(fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 (*.f64 (*.f64 c b) b) (*.f64 c (fma.f64 (*.f64 #s(literal -9/16 binary64) c) a (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))))) |
(*.f64 #s(literal -135/128 binary64) (*.f64 a a)) |
(*.f64 (*.f64 a a) #s(literal -135/128 binary64)) |
#s(literal -135/128 binary64) |
(*.f64 a a) |
a |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))) |
(*.f64 (*.f64 (*.f64 c b) b) (*.f64 c (fma.f64 (*.f64 #s(literal -9/16 binary64) c) a (*.f64 (*.f64 b b) #s(literal -3/8 binary64))))) |
(*.f64 b b) |
b |
(fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) |
(*.f64 (*.f64 c (fma.f64 (*.f64 #s(literal -9/16 binary64) c) a (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))) c) |
(*.f64 #s(literal -9/16 binary64) a) |
#s(literal -9/16 binary64) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)) |
(*.f64 (*.f64 (*.f64 c b) #s(literal -3/8 binary64)) (*.f64 c b)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 b b)) |
(*.f64 (*.f64 b b) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 c c) |
(pow.f64 b #s(literal 7 binary64)) |
#s(literal 7 binary64) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
c |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(*.f64 a b) |
(*.f64 a a) |
#s(literal 3 binary64) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(pow.f64 a #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(neg.f64 (/.f64 b a)) |
(/.f64 (neg.f64 b) a) |
(/.f64 b a) |
#s(literal 3 binary64) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (hypot.f64 b b)))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
#s(literal 3/2 binary64) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1/3 binary64) a) |
#s(literal 1/3 binary64) |
(fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (hypot.f64 b b))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) b (*.f64 (*.f64 #s(literal -3 binary64) c) a)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3405075195368841 | (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| accuracy | 0.359375 | (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) | |
| accuracy | 0.37109375 | (/.f64 #s(literal 1/3 binary64) a) | |
| accuracy | 44.38409443325178 | (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) | |
| accuracy | 0.04296875 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| accuracy | 0.125 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.29296875 | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) | |
| accuracy | 44.05846089016592 | (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) | |
| accuracy | 0.125 | (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) | |
| accuracy | 0.29296875 | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) | |
| accuracy | 0.34212875976844204 | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) | |
| accuracy | 45.000052015386814 | (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) | |
| accuracy | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| accuracy | 0.26953125 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) | |
| accuracy | 10.792165971796669 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) | |
| accuracy | 0.3359375 | (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))) | |
| accuracy | 0.36328125 | (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)) | |
| accuracy | 0.3991012695368841 | (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64))) | |
| accuracy | 1.1712716722047924 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 206.0ms | 172× | 1 | valid |
| 63.0ms | 84× | 0 | valid |
Compiled 655 to 87 computations (86.7% saved)
ival-mult: 73.0ms (33.4% of total)ival-pow: 35.0ms (16% of total)ival-div: 33.0ms (15.1% of total)adjust: 33.0ms (15.1% of total)ival-add: 18.0ms (8.2% of total)const: 8.0ms (3.7% of total)ival-sqrt: 7.0ms (3.2% of total)ival-sub: 6.0ms (2.7% of total)ival-neg: 5.0ms (2.3% of total)exact: 2.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) (patch #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation:binary64>) () ()) |
#s(alt (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) (patch (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) b) (patch (/.f64 #s(literal -1/2 binary64) b) #<representation:binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ()) |
#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) #<representation:binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (patch (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) #<representation:binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (patch (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)) (patch (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))) (patch (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) a) (patch (/.f64 #s(literal 1/3 binary64) a) #<representation:binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (patch (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -3/8 (* (pow b 2) (pow c 2))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ()) |
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#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation:binary64>) () ())) ()) |
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#s(alt (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (* (pow a 3) c)) (sqrt -3)) (taylor inf c) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))) (taylor inf c) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (/ (* a b) c))) (taylor inf c) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))) (/ (* a b) c))) (taylor inf c) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (* (pow a 3) c)) (sqrt -3)) (taylor inf c) (#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))) (taylor inf c) (#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3))))) (taylor inf c) (#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))))) (taylor inf c) (#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (sqrt -3)) (taylor inf c) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) (taylor inf c) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))) (/ b (* a c)))) (taylor inf c) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) (/ b (* a c)))) (taylor inf c) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor inf c) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -3 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -3 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -3 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))) (taylor inf c) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -3 a) (+ (* (sqrt (/ a c)) (* b (sqrt -3))) (/ (pow b 2) c)))) (taylor inf c) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -3 a) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* (sqrt (/ a c)) (* b (sqrt -3))) (/ (pow b 2) c))))) (taylor inf c) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -3 a) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* (sqrt (/ a c)) (* b (sqrt -3))) (/ (pow b 2) c)))))) (taylor inf c) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
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#s(alt (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* (pow a 2) c) b)) (taylor inf b) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -3/2 (* (pow a 2) c)) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -3/2 (* (pow a 2) c)) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -3/2 (* (pow a 2) c)) (+ (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b) (taylor inf b) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
#s(alt (* a b) (taylor inf b) (#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation:binary64>) () ())) ()) |
#s(alt (* b (+ a (* -3/2 (/ (* (pow a 2) c) (pow b 2))))) (taylor inf b) (#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation:binary64>) () ())) ()) |
#s(alt (* b (+ a (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) (taylor inf b) (#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation:binary64>) () ())) ()) |
#s(alt (* b (+ a (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))) (taylor inf b) (#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation:binary64>) () ())) ()) |
#s(alt (* -3/2 (/ c b)) (taylor inf b) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt b (taylor inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) (taylor inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor inf b) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor inf b) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (* 2 (pow b 2)) (taylor inf b) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (* -3/2 (/ (* a c) (pow b 2)))))) (taylor inf b) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor inf b) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor inf b) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (* (pow a 3) c)) (sqrt -3)) (taylor inf a) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) (taylor inf a) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) (taylor inf a) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (* (pow a 3) c)) (sqrt -3)) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (sqrt -3)) (taylor inf a) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)) (taylor inf a) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #<representation:binary64>) () ())) ()) |
#s(alt (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)) (taylor inf a) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) (patch (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* -3 (* a c)) (taylor inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (* a (+ (* -3 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (* a (+ (* -3 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (* a (+ (* -3 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (* a (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))) (taylor inf a) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* a (+ (* -3 c) (+ (* (sqrt (/ c a)) (* b (sqrt -3))) (/ (pow b 2) a)))) (taylor inf a) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* a (+ (* -3 c) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* (sqrt (/ c a)) (* b (sqrt -3))) (/ (pow b 2) a))))) (taylor inf a) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* a (+ (* -3 c) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* (sqrt (/ c a)) (* b (sqrt -3))) (/ (pow b 2) a)))))) (taylor inf a) (#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
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#s(alt (* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -9/16 (* a (* (pow b 2) (pow c 3)))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))) (patch (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))) (patch (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))) (patch (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))) (patch (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1/3 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/3 binary64) a) (patch (/.f64 #s(literal 1/3 binary64) a) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1/3 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/3 binary64) a) (patch (/.f64 #s(literal 1/3 binary64) a) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1/3 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/3 binary64) a) (patch (/.f64 #s(literal 1/3 binary64) a) #<representation:binary64>) () ())) ()) |
#s(alt (/ 1/3 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/3 binary64) a) (patch (/.f64 #s(literal 1/3 binary64) a) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27))) (taylor -inf a) (#s(alt (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (patch (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) (taylor -inf a) (#s(alt (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (patch (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))))) (taylor -inf a) (#s(alt (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (patch (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))))) (taylor -inf a) (#s(alt (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (patch (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #<representation:binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | b | @ | -inf | ((+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (/ (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) 3) (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) (pow a -1)) (neg (/ b a))) (/ (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) (pow a -1)) (neg (/ b a))) 3) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))))) (pow b 7)) (* (* -3/8 (* b b)) (* c c)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c)))) (/ 1/3 a) (pow (+ (* (* -3 c) a) (* b b)) 3/2)) |
| 15.0ms | a | @ | 0 | ((+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (/ (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) 3) (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) (pow a -1)) (neg (/ b a))) (/ (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) (pow a -1)) (neg (/ b a))) 3) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))))) (pow b 7)) (* (* -3/8 (* b b)) (* c c)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c)))) (/ 1/3 a) (pow (+ (* (* -3 c) a) (* b b)) 3/2)) |
| 13.0ms | c | @ | inf | ((+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (/ (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) 3) (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) (pow a -1)) (neg (/ b a))) (/ (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) (pow a -1)) (neg (/ b a))) 3) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))))) (pow b 7)) (* (* -3/8 (* b b)) (* c c)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c)))) (/ 1/3 a) (pow (+ (* (* -3 c) a) (* b b)) 3/2)) |
| 13.0ms | a | @ | -inf | ((+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (/ (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) 3) (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) (pow a -1)) (neg (/ b a))) (/ (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) (pow a -1)) (neg (/ b a))) 3) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))))) (pow b 7)) (* (* -3/8 (* b b)) (* c c)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c)))) (/ 1/3 a) (pow (+ (* (* -3 c) a) (* b b)) 3/2)) |
| 12.0ms | c | @ | -inf | ((+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (/ (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) 3) (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) (pow a -1)) (neg (/ b a))) (/ (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) (pow a -1)) (neg (/ b a))) 3) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))))) (pow b 7)) (* (* -3/8 (* b b)) (* c c)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c)))) (/ 1/3 a) (pow (+ (* (* -3 c) a) (* b b)) 3/2)) |
| 1× | egg-herbie |
| 7 136× | lower-*.f64 |
| 7 136× | lower-*.f32 |
| 4 936× | lower-fma.f64 |
| 4 936× | lower-fma.f32 |
| 4 256× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2303 | 28047 |
| 1 | 6769 | 27956 |
| 0 | 8127 | 26767 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -3/8 (* (pow b 2) (pow c 2))) |
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) |
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) |
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -3/2 (/ c b)) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* -3/2 (/ (* (pow a 2) c) b)) |
(* c (+ (* -3/2 (/ (pow a 2) b)) (* -9/8 (/ (* (pow a 3) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ (pow a 2) b)) (* c (+ (* -27/16 (/ (* (pow a 4) c) (pow b 5))) (* -9/8 (/ (pow a 3) (pow b 3))))))) |
(* c (+ (* -3/2 (/ (pow a 2) b)) (* c (+ (* -9/8 (/ (pow a 3) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 4) (pow b 5))) (* -1/2 (/ (* a (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))))) b)))))))) |
(* a b) |
(+ (* -3/2 (/ (* (pow a 2) c) b)) (* a b)) |
(+ (* a b) (* c (+ (* -3/2 (/ (pow a 2) b)) (* -9/8 (/ (* (pow a 3) c) (pow b 3)))))) |
(+ (* a b) (* c (+ (* -3/2 (/ (pow a 2) b)) (* c (+ (* -27/16 (/ (* (pow a 4) c) (pow b 5))) (* -9/8 (/ (pow a 3) (pow b 3)))))))) |
(* -3/2 (/ c b)) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (* c (+ (* -3 a) (* -3/2 a)))) |
(+ (* 2 (pow b 2)) (* c (+ (* -3 a) (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))))) |
(+ (* 2 (pow b 2)) (* c (+ (* -3 a) (+ (* -3/2 a) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 4))) (* -9/8 (/ (pow a 2) (pow b 2))))))))) |
(* 1/6 (/ (* c (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) |
(* c (+ (* 1/6 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/3 (* c (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))))) |
(* c (+ (* 1/6 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (+ (* 1/3 (* c (- (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/16 (/ (* a (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/3 (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))))))) |
(* c (+ (* 1/6 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (+ (* 1/3 (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (* c (+ (* 1/3 (* c (- (* -1/2 (/ (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/8 (/ (* (pow a 2) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (* (pow b 2) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -27/32 (/ (* (pow a 2) (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 7) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/16 (/ (* a (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))))) (* 1/3 (- (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/16 (/ (* a (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2)))))))))))) |
(* 1/6 (/ (* c (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* a (pow b 3)))) |
(* c (+ (* 1/6 (/ (* c (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (* a (pow b 3)))) (* 1/6 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (pow b 3)))))) |
(* c (+ (* 1/6 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (pow b 3)))) (* c (+ (* 1/6 (/ (* c (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (* a (pow b 3)))) (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (pow b 3)))))))) |
(* c (+ (* 1/6 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (pow b 3)))) (* c (+ (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (pow b 3)))) (* c (+ (* -1/6 (/ (* c (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (* a (pow b 3)))) (* 1/6 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (pow b 3)))))))))) |
(* 1/2 (/ (* c (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (pow b 3))) |
(* c (+ (* 1/2 (/ (* c (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))))) |
(* c (+ (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (* c (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))))))) |
(* c (+ (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (pow b 3))))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 4) (pow c 2))) |
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4)))) |
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4)))) |
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4)))) |
(pow b 3) |
(+ (* 1/2 (/ (* c (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (pow b 3))) (pow b 3)) |
(+ (* c (+ (* 1/2 (/ (* c (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))))) (pow b 3)) |
(+ (* c (+ (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (* c (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))))))) (pow b 3)) |
(* -9/16 (* a (pow c 3))) |
(* (pow c 3) (+ (* -9/16 a) (* -3/8 (/ (pow b 2) c)))) |
(* (pow c 3) (+ (* -9/16 a) (* -3/8 (/ (pow b 2) c)))) |
(* (pow c 3) (+ (* -9/16 a) (* -3/8 (/ (pow b 2) c)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* (sqrt (/ c a)) (sqrt -3)) |
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
(* c (+ (* -1 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (/ (* a b) c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))) (/ (* a b) c))) |
(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))) (/ b (* a c)))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) (/ b (* a c)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -3 (* a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))) |
(* c (+ (* -3 a) (+ (* (sqrt (/ a c)) (* b (sqrt -3))) (/ (pow b 2) c)))) |
(* c (+ (* -3 a) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* (sqrt (/ a c)) (* b (sqrt -3))) (/ (pow b 2) c))))) |
(* c (+ (* -3 a) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* (sqrt (/ a c)) (* b (sqrt -3))) (/ (pow b 2) c)))))) |
(* 1/3 (* (sqrt (* a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))) |
(* c (+ (* -2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))))) |
(* c (+ (* -2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (+ (* 1/3 (* (sqrt (/ a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (pow c 2)))))) |
(* c (+ (* -2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (+ (* 1/3 (* (sqrt (/ a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))) (+ (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -1 (/ (* (pow b 5) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))))) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (pow c 3))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (pow c 2))))))) |
(* 1/3 (* (sqrt (* a (pow c 3))) (sqrt -27))) |
(* (pow c 2) (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -27))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (/ (pow b 3) a)) (pow c 2))))) |
(* (pow c 2) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -27))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (/ (pow b 3) a)) (pow c 2)))))) |
(* (pow c 2) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (- (pow b 6) (* 1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -27))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (/ (pow b 3) a)) (pow c 2))))))) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27)))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (- (pow b 6) (* 1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27))))) (/ (pow b 3) (pow c 2)))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -9/16 (* a (* (pow b 2) (pow c 3)))) |
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c)))) |
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c)))) |
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c)))) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) |
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27)))) |
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27))))) |
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (- (pow b 6) (* 1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27)))))) |
(* -9/16 (* a (pow c 3))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a)))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a)))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))) (/ (* a b) c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* a b)) c)) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* a b)) c)) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -3 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (pow b 2)) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) c)) (pow b 2)) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1/3 (* (sqrt (* a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) (* 2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (* -1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))) c))) c)) (* 1/3 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -1 (/ (* (pow b 5) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))))) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) c)) (* 1/3 (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))))) c)) (* -2/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) c)) (* 1/3 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))))) |
(* 1/3 (* (sqrt (* a (pow c 3))) (* (sqrt -1) (sqrt 27)))) |
(* (pow c 2) (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27)))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (/ (pow b 3) a)) (pow c 2))))) |
(* (pow c 2) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27)))) (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27)))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (/ (pow b 3) a)) (pow c 2)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/6 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27))))) (pow c 3))) (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27)))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (/ (pow b 3) a)) (pow c 2)))))) |
(* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27))) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27)))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow c 2)))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -9/16 (* a (* (pow b 2) (pow c 3)))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
(* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27))) |
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27))))) |
(* (pow c 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27)))))) |
(* -9/16 (* a (pow c 3))) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7)) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
(+ (* -1 (* a b)) (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ a c)) (/ b (sqrt -3)))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(+ (* (sqrt (* (pow a 3) c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* (pow a 3) c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (* (sqrt (* a c)) (* b (sqrt -3)))) |
(+ (* -3 (* a c)) (* b (+ b (* (sqrt (* a c)) (sqrt -3))))) |
(+ (* -3 (* a c)) (* b (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))))) |
(* -1/9 (* (sqrt (/ c a)) (sqrt -27))) |
(+ (* -1/9 (* (sqrt (/ c a)) (sqrt -27))) (* -1/27 (/ (* b (* (sqrt -27) (sqrt -3))) a))) |
(+ (* -1/9 (* (sqrt (/ c a)) (sqrt -27))) (* b (+ (* -1/27 (/ (* (sqrt -27) (sqrt -3)) a)) (* 1/3 (* b (- (* -1/6 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/27 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -27) (pow (sqrt -3) 2)))) (* 2/9 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -27)))))))))) |
(+ (* -1/9 (* (sqrt (/ c a)) (sqrt -27))) (* b (+ (* -1/27 (/ (* (sqrt -27) (sqrt -3)) a)) (* b (+ (* 1/3 (* b (- (* 1/3 (/ 1 (* (pow a 2) c))) (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (- (* -1/6 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/27 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -27) (pow (sqrt -3) 2)))) (* 2/9 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -27)))))))) (+ (* 1/18 (/ (sqrt -27) (* (pow a 2) (* c (sqrt -3))))) (* 2/27 (/ (* (sqrt -27) (sqrt -3)) (* (pow a 2) c)))))))) (* 1/3 (- (* -1/6 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/27 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -27) (pow (sqrt -3) 2)))) (* 2/9 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -27))))))))))) |
(* 1/3 (* (sqrt (* a (pow c 3))) (sqrt -27))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 2) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (sqrt -27)))) (* 1/3 (* (sqrt (* a (pow c 3))) (sqrt -27)))) |
(+ (* 1/3 (* (sqrt (* a (pow c 3))) (sqrt -27))) (* (pow b 2) (+ (* -1/3 (/ b a)) (* 1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27))))))) |
(+ (* 1/3 (* (sqrt (* a (pow c 3))) (sqrt -27))) (* (pow b 2) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* b (- (+ (* -6 (* a c)) (* -3 (* a c))) (* 1/4 (/ (pow (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))))))) (sqrt -27)))) (* 1/3 (/ 1 a))))))) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (sqrt -27)))) (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) (* (pow b 2) (+ (* -1 b) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27))))))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (+ (* -6 (* a c)) (* -3 (* a c))) (* 1/4 (/ (pow (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))))))) (sqrt -27)))) 1))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -9/16 (* a (* (pow b 2) (pow c 3)))) |
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))) |
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))) |
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (sqrt -27)))) (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (- (+ (* -6 (* a c)) (* -3 (* a c))) (* 1/4 (/ (pow (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))))))) (sqrt -27)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27))))))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (- 1 (* 1/2 (/ (* (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (- (+ (* -6 (* a c)) (* -3 (* a c))) (* 1/4 (/ (pow (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))))))) (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))))))) (sqrt -27)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (+ (* -6 (* a c)) (* -3 (* a c))) (* 1/4 (/ (pow (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2)))))) (sqrt -27))))))))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(* -3/2 (/ c b)) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -3/2 (/ (* (pow a 2) c) b)) |
(/ (+ (* -3/2 (* (pow a 2) c)) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -3/2 (* (pow a 2) c)) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -3/2 (* (pow a 2) c)) (+ (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b) |
(* a b) |
(* b (+ a (* -3/2 (/ (* (pow a 2) c) (pow b 2))))) |
(* b (+ a (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) |
(* b (+ a (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))) |
(* -3/2 (/ c b)) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (* -3/2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (* a b))) |
(/ (+ (* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 1/3 (/ (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))) (pow b 2)))) b) |
(/ (+ (* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (+ (* 1/3 (/ (- (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* -1/16 (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))))))) (pow b 4))) (* 1/3 (/ (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))) (pow b 2))))) b) |
(/ (+ (* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (+ (* 1/3 (/ (- (* -1/6 (/ (+ (* 1/4 (pow (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))))))))) a)) (+ (* -3/8 (* (pow a 2) (* (pow c 2) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a)))))) (+ (* -3/32 (* (pow a 2) (* (pow c 3) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* -1/16 (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a)))))))))))) (pow b 6))) (+ (* 1/3 (/ (- (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* -1/16 (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))))))) (pow b 4))) (* 1/3 (/ (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))) (pow b 2)))))) b) |
(* 1/6 (/ (* b (+ (* -6 (* a c)) (* -3 (* a c)))) a)) |
(* b (+ (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (* a (pow b 2)))))) |
(* b (+ (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (+ (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (* a (pow b 4)))) (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (* a (pow b 2))))))) |
(* b (+ (* -1/6 (/ (+ (* 1/4 (pow (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))))))))) (* a (pow b 6)))) (+ (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (+ (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (* a (pow b 4)))) (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (* a (pow b 2)))))))) |
(* 1/2 (* b (+ (* -6 (* a c)) (* -3 (* a c))))) |
(* b (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2))))) |
(* b (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 4))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2)))))) |
(* b (+ (* -1/2 (/ (+ (* 1/4 (pow (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))))))))) (pow b 6))) (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 4))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 4) (pow c 2))) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))))) |
(* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4)))))) |
(* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4))))))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(* -1 (/ (* b (- a (* -1 a))) (pow a 2))) |
(* -1 (* b (- (+ (* -3/2 (/ c (pow b 2))) (/ 1 a)) (/ -1 a)))) |
(* -1 (* b (- (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) (/ -1 a)))) |
(* -1 (* b (- (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) (/ -1 a)))) |
(* -1/3 (/ (* b (- a (* -1 a))) (pow a 2))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ (- a (* -1 a)) (pow a 2)))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ (- a (* -1 a)) (pow a 2))))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ (- a (* -1 a)) (pow a 2)))))))) |
(* -1 (* b (- a (* -1 a)))) |
(* -1 (* b (- (+ a (* -3/2 (/ (* (pow a 2) c) (pow b 2)))) (* -1 a)))) |
(* -1 (* b (- (+ a (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) (* -1 a)))) |
(* -1 (* b (- (+ a (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) (* -1 a)))) |
(* -1 (* a b)) |
(* -1 (* b (+ a (* -3/2 (/ (* (pow a 2) c) (pow b 2)))))) |
(* -1 (* b (+ a (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ a (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(+ (* -3 (* a c)) (* 3/2 (* a c))) |
(+ (* -3 (* a c)) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c)))) |
(+ (* -3 (* a c)) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) |
(+ (* -3 (* a c)) (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* 1/3 (/ (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a))) (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* 1/3 (/ (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a))) (pow b 2))) (+ (* 1/3 (/ (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (+ (* 9/4 (* a (pow c 2))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))))) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* 1/3 (/ (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a))) (pow b 2))) (+ (* 1/3 (/ (- (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* 9/8 (* (pow a 2) (* (pow c 2) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))))) (+ (* 27/8 (* (pow a 2) (pow c 3))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (+ (* 9/4 (* a (pow c 2))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))))))))) (pow b 6))) (+ (* 1/3 (/ (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (+ (* 9/4 (* a (pow c 2))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))))) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2/3 (/ (pow b 3) a)) |
(* -1 (* (pow b 3) (+ (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (* a (pow b 2)))) (* 2/3 (/ 1 a))))) |
(* -1 (* (pow b 3) (+ (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (* a (pow b 2)))) (+ (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (* a (pow b 4)))) (* 2/3 (/ 1 a)))))) |
(* -1 (* (pow b 3) (+ (* 1/6 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (* a (pow b 2)))) (+ (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (* a (pow b 6)))) (+ (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (* a (pow b 4)))) (* 2/3 (/ 1 a))))))) |
(* -2 (pow b 3)) |
(* -1 (* (pow b 3) (+ 2 (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2)))))) |
(* -1 (* (pow b 3) (+ 2 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4))))))) |
(* -1 (* (pow b 3) (+ 2 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4)))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* -3/8 (* (pow b 4) (pow c 2))) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* -1 (pow b 3)) |
(* -1 (* (pow b 3) (+ 1 (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2)))))) |
(* -1 (* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4))))))) |
(* -1 (* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4)))))))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ (* (pow a 2) c) b)) |
(* (pow a 2) (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* (pow a 2) (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* a b) |
(* a (+ b (* -3/2 (/ (* a c) b)))) |
(* a (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) |
(* a (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (* a (+ (* -3 c) (* -3/2 c)))) |
(+ (* 2 (pow b 2)) (* a (+ (* -3 c) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))))) |
(+ (* 2 (pow b 2)) (* a (+ (* -3 c) (+ (* -3/2 c) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 4))) (* -9/8 (/ (pow c 2) (pow b 2))))))))) |
(* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) |
(+ (* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/3 (* a (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))) |
(+ (* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* a (+ (* 1/3 (* a (- (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -9/16 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 c) (* -3/2 c)) (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/3 (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))))) |
(+ (* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* a (+ (* 1/3 (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (* a (+ (* 1/3 (* a (- (* -1/2 (/ (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -9/8 (/ (* (pow c 2) (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (* (pow b 2) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -27/32 (/ (* (pow c 3) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 7) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 c) (* -3/2 c)) (- (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -9/16 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 c) (* -3/2 c)) (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))))) (* 1/3 (- (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -9/16 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 c) (* -3/2 c)) (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2))))))))))) |
(* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) |
(+ (* 1/6 (/ (* a (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 3))) (* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3)))) |
(+ (* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/6 (/ (* a (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/6 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3)))))) |
(+ (* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/6 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/6 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (pow b 3)))))))) |
(* 1/2 (/ (* a (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (pow b 3))) |
(* a (+ (* 1/2 (/ (* a (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))))) |
(* a (+ (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (* a (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))))))) |
(* a (+ (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (pow b 3))))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(* -3/8 (* (pow b 4) (pow c 2))) |
(+ (* -9/16 (* a (* (pow b 2) (pow c 3)))) (* -3/8 (* (pow b 4) (pow c 2)))) |
(+ (* -9/16 (* a (* (pow b 2) (pow c 3)))) (* -3/8 (* (pow b 4) (pow c 2)))) |
(+ (* -9/16 (* a (* (pow b 2) (pow c 3)))) (* -3/8 (* (pow b 4) (pow c 2)))) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(pow b 3) |
(+ (* 1/2 (/ (* a (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (pow b 3))) (pow b 3)) |
(+ (* a (+ (* 1/2 (/ (* a (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))))) (pow b 3)) |
(+ (* a (+ (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (* a (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))))))) (pow b 3)) |
(* -9/16 (* a (pow c 3))) |
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a)))) |
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a)))) |
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
(* (pow a 2) (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* (pow a 2) (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)) |
(- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))) |
(* a (+ (* -3 c) (+ (* (sqrt (/ c a)) (* b (sqrt -3))) (/ (pow b 2) a)))) |
(* a (+ (* -3 c) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* (sqrt (/ c a)) (* b (sqrt -3))) (/ (pow b 2) a))))) |
(* a (+ (* -3 c) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* (sqrt (/ c a)) (* b (sqrt -3))) (/ (pow b 2) a)))))) |
(* 1/3 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))) |
(+ (* -2/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (* 1/3 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) |
(+ (* -2/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (+ (* 1/3 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -27))) (* (sqrt -3) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (pow a 2))))) |
(+ (* -2/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (+ (* 1/3 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))) (+ (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* -1 (/ (* (pow b 5) (* c (sqrt -27))) (* (sqrt -3) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -27))) (* (sqrt -3) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (pow a 3))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -27))) (* (sqrt -3) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (pow a 2)))))) |
(* 1/3 (* (sqrt (* a (pow c 3))) (sqrt -27))) |
(* a (+ (* 1/3 (* (sqrt (/ (pow c 3) a)) (sqrt -27))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (pow b 3)) (pow a 2))))) |
(* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (+ (* 1/3 (* (sqrt (/ (pow c 3) a)) (sqrt -27))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (pow b 3)) (pow a 2)))))) |
(* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (- (pow b 6) (* 1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (+ (* 1/3 (* (sqrt (/ (pow c 3) a)) (sqrt -27))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (pow b 3)) (pow a 2))))))) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27)))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (- (pow b 6) (* 1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27))))) (/ (pow b 3) (pow a 2)))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* -9/16 (* a (* (pow b 2) (pow c 3)))) |
(* a (+ (* -9/16 (* (pow b 2) (pow c 3))) (* -3/8 (/ (* (pow b 4) (pow c 2)) a)))) |
(* a (+ (* -9/16 (* (pow b 2) (pow c 3))) (* -3/8 (/ (* (pow b 4) (pow c 2)) a)))) |
(* a (+ (* -9/16 (* (pow b 2) (pow c 3))) (* -3/8 (/ (* (pow b 4) (pow c 2)) a)))) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27)))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27))))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (- (pow b 6) (* 1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27)))))) |
(* -9/16 (* a (pow c 3))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* -1 b)) a)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 b)) a)))) |
(* -1 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* -1 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 b)) a))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -3 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (pow b 2)) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) a)) (pow b 2)) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1/3 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(+ (* -2/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (* -1/3 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) |
(+ (* -1 (/ (+ (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) a)) (* 2/3 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) a)) (* -1/3 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -1 (/ (* (pow b 5) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) a))) a)) (* 2/3 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) a)) (* -1/3 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) |
(* 1/3 (* (sqrt (* a (pow c 3))) (* (sqrt -1) (sqrt 27)))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))) (* -1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (pow b 3)) (pow a 2)))))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))) (+ (* -1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (pow b 3)) (pow a 2))) (* 1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27)))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27)))) (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt 27) 2)))))) (sqrt 27))))) (pow a 3))) (+ (* -1/3 (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))) (* -1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (pow b 3)) (pow a 2))))))) |
(* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow a 2)))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* -9/16 (* a (* (pow b 2) (pow c 3)))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(/ 1/3 a) |
(* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) |
(* (pow a 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))))) |
| Outputs |
|---|
(* -3/8 (* (pow b 2) (pow c 2))) |
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)) |
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))) |
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))) |
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (*.f64 c c) (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (*.f64 #s(literal -9/16 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) (neg.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (*.f64 c c) (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (*.f64 #s(literal -9/16 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) (neg.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -3/2 (/ c b)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a c)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) b))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 3/2 binary64) b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 3/2 binary64) b)))) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* -3/2 (/ (* (pow a 2) c) b)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 a a) c) b)) |
(* c (+ (* -3/2 (/ (pow a 2) b)) (* -9/8 (/ (* (pow a 3) c) (pow b 3))))) |
(*.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a a) b)))) |
(* c (+ (* -3/2 (/ (pow a 2) b)) (* c (+ (* -27/16 (/ (* (pow a 4) c) (pow b 5))) (* -9/8 (/ (pow a 3) (pow b 3))))))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a a) b)))) |
(* c (+ (* -3/2 (/ (pow a 2) b)) (* c (+ (* -9/8 (/ (pow a 3) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 4) (pow b 5))) (* -1/2 (/ (* a (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))))) b)))))))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a a) b)))) |
(* a b) |
(*.f64 a b) |
(+ (* -3/2 (/ (* (pow a 2) c) b)) (* a b)) |
(fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 a a) c) b) (*.f64 a b)) |
(+ (* a b) (* c (+ (* -3/2 (/ (pow a 2) b)) (* -9/8 (/ (* (pow a 3) c) (pow b 3)))))) |
(fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a a) b))) (*.f64 a b)) |
(+ (* a b) (* c (+ (* -3/2 (/ (pow a 2) b)) (* c (+ (* -27/16 (/ (* (pow a 4) c) (pow b 5))) (* -9/8 (/ (pow a 3) (pow b 3)))))))) |
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a a) b))) (*.f64 a b)) |
(* -3/2 (/ c b)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a c)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) b))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 3/2 binary64) b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 3/2 binary64) b)))) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) b) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
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(* 1/3 (* (sqrt (* a (pow c 3))) (sqrt -27))) |
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(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (neg.f64 b) a)) c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
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(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
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(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
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(* -1 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
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(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))) (/ (* a b) c)))) |
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(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* a b)) c)) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (neg.f64 a) b)) c))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* a b)) c)) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 a c))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))))) c)) (*.f64 a b)) c))))) |
(* -1 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 5 binary64)))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 5 binary64)))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(neg.f64 (*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b (*.f64 a c))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (neg.f64 b) a)) c))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) c)) (/.f64 b a)) c))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
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(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(neg.f64 (*.f64 c (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b (*.f64 a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))))) c))) c))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
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(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
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(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
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(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
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(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
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(* -1 (* c (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))) |
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(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
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(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (pow b 2)) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
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(* -1/3 (* (sqrt (* a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
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(* 1/3 (* (sqrt (* a (pow c 3))) (* (sqrt -1) (sqrt 27)))) |
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(* (pow c 2) (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27)))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (/ (pow b 3) a)) (pow c 2))))) |
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(* (pow c 2) (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/6 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27))))) (pow c 3))) (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 27)))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (/ (pow b 3) a)) (pow c 2)))))) |
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(* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27))) |
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
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(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
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(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
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(* (sqrt (/ c a)) (sqrt -3)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)) |
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
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(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) |
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(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(+ (* -3 (* a c)) (* (sqrt (* a c)) (* b (sqrt -3)))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (*.f64 b (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(+ (* -3 (* a c)) (* b (+ b (* (sqrt (* a c)) (sqrt -3))))) |
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(+ (* -3 (* a c)) (* b (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))))) |
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(* -1/9 (* (sqrt (/ c a)) (sqrt -27))) |
(*.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -27 binary64)))) |
(+ (* -1/9 (* (sqrt (/ c a)) (sqrt -27))) (* -1/27 (/ (* b (* (sqrt -27) (sqrt -3))) a))) |
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(* 1/3 (* (sqrt (* a (pow c 3))) (sqrt -27))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (sqrt.f64 #s(literal -27 binary64)))) |
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(*.f64 (*.f64 a a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal 9 binary64))) (sqrt.f64 #s(literal 27 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64))) (sqrt.f64 #s(literal 27 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64)) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 a a))))))) |
(* (pow a 2) (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow a 2)))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64)) #s(literal 2 binary64)) #s(literal 27 binary64))))) (sqrt.f64 #s(literal 27 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal 9 binary64))) (sqrt.f64 #s(literal 27 binary64))))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64))) (sqrt.f64 #s(literal 27 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64)) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 a a))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(*.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 (*.f64 a a) (fma.f64 (/.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal -135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a)))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal -135/128 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a)))) |
(* -9/16 (* a (* (pow b 2) (pow c 3)))) |
(*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 (*.f64 b b) (pow.f64 c #s(literal 3 binary64)))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 b b) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (*.f64 c c) a))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 b b) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (*.f64 c c) a))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 b b) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (*.f64 c c) a))))) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
(* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 27 binary64)))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64))) (sqrt.f64 #s(literal 27 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64))))) |
(* (pow a 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal 9 binary64))) (sqrt.f64 #s(literal 27 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64))) (sqrt.f64 #s(literal 27 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64)) #s(literal 2 binary64)) #s(literal 27 binary64))))) (sqrt.f64 #s(literal 27 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal 9 binary64))) (sqrt.f64 #s(literal 27 binary64))))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64))) (sqrt.f64 #s(literal 27 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64)))))) |
| 5 188× | lower-*.f32 |
| 5 160× | lower-*.f64 |
| 4 670× | lower-fma.f32 |
| 4 656× | lower-fma.f64 |
| 2 426× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 578 |
| 0 | 133 | 578 |
| 1 | 545 | 518 |
| 2 | 4493 | 518 |
| 0 | 8216 | 511 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) |
(-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c))))) (pow.f64 b #s(literal 7 binary64))) |
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c)))) |
(/.f64 #s(literal 1/3 binary64) a) |
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) a) #s(literal 2 binary64)) (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 b c) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64) (*.f64 #s(literal 3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -729/4096 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 9 binary64)) (*.f64 (pow.f64 (*.f64 b c) #s(literal 6 binary64)) #s(literal -27/512 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) a) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) a) #s(literal -3/8 binary64)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64) (*.f64 #s(literal 3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) a) #s(literal 2 binary64)) (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 b c) #s(literal 4 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) a) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) a) #s(literal -3/8 binary64)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -729/4096 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 9 binary64)) (*.f64 (pow.f64 (*.f64 b c) #s(literal 6 binary64)) #s(literal -27/512 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 b c) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) a) #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64)) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) a))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) a) #s(literal 2 binary64)) (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 b c) #s(literal 4 binary64))))) (neg.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64) (*.f64 #s(literal 3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -729/4096 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 9 binary64)) (*.f64 (pow.f64 (*.f64 b c) #s(literal 6 binary64)) #s(literal -27/512 binary64)))) (neg.f64 (-.f64 (hypot.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) a) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) a) #s(literal -3/8 binary64)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) a) #s(literal 2 binary64)) (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 b c) #s(literal 4 binary64)))) (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64) (*.f64 #s(literal 3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
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(fma.f64 (*.f64 a #s(literal -9/16 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 (*.f64 b c) b) #s(literal 2 binary64)))) |
(fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (*.f64 b b)) (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 (*.f64 b c) b) #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 (*.f64 b c) b) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 b b) #s(literal -9/16 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) |
(+.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal -9/16 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 (*.f64 b c) b) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 (neg.f64 a) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 3 binary64) a) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 a))) |
(/.f64 #s(literal 1/3 binary64) a) |
(/.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) a)) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) a)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/4 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3 binary64)) |
(pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3/4 binary64) (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 2 binary64))) #s(literal 3/4 binary64))) |
(exp.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) |
Compiled 80 159 to 6 711 computations (91.6% saved)
80 alts after pruning (77 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 786 | 32 | 1 818 |
| Fresh | 21 | 45 | 66 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 811 | 80 | 1 891 |
| Status | Accuracy | Program |
|---|---|---|
| 29.4% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.5% | (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1/2 binary64)) b) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.8% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a (*.f64 a a)) (neg.f64 (*.f64 (/.f64 a a) (/.f64 b a)))) #s(literal 3 binary64)) | |
| 31.1% | (/.f64 (fma.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) | |
| 30.6% | (/.f64 (fma.f64 (neg.f64 b) (pow.f64 a #s(literal -1 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) #s(literal 3 binary64)) | |
| 30.7% | (/.f64 (fma.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a a)) (neg.f64 (*.f64 (/.f64 a a) (/.f64 b a)))) #s(literal 3 binary64)) | |
| 30.9% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 a a)) #s(literal 3 binary64)) | |
| 30.3% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| 31.3% | (/.f64 (/.f64 (fma.f64 (neg.f64 b) a (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 a a)) #s(literal 3 binary64)) | |
| 29.9% | (/.f64 (/.f64 (/.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) a) #s(literal 3 binary64)) | |
| 30.5% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)))) a) #s(literal 3 binary64)) | |
| 29.1% | (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (fma.f64 (pow.f64 a #s(literal -2 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))))) #s(literal 3 binary64)) | |
| 30.4% | (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64)) | |
| 29.2% | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 b a))) (pow.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) | |
| ▶ | 29.4% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
| 29.1% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 29.4% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) | |
| ✓ | 29.9% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
| 93.5% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (*.f64 (*.f64 a a) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))))) (*.f64 a a)) #s(literal 3 binary64)) | |
| 82.8% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 a a) c) b))) (*.f64 a a)) #s(literal 3 binary64)) | |
| 96.0% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (-.f64 (fma.f64 #s(literal -9/2 binary64) (/.f64 (*.f64 a a) b) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a a) b))) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 93.1% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 93.1% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 a (fma.f64 a (*.f64 (/.f64 (*.f64 c c) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 b c))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 93.3% | (/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) a) #s(literal 3 binary64)) | |
| 93.2% | (/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))))) a) #s(literal 3 binary64)) | |
| 93.5% | (/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 a (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))))) a) #s(literal 3 binary64)) | |
| 82.8% | (/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) a) #s(literal 3 binary64)) | |
| 30.5% | (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 30.2% | (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))) (*.f64 b (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b))))) | |
| 29.2% | (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) | |
| 30.6% | (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 a a)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a a) #s(literal 3 binary64)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) | |
| 29.9% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 29.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 29.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| 32.4% | (/.f64 (*.f64 (fma.f64 (*.f64 b b) (neg.f64 b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 30.2% | (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b) (-.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64)) (pow.f64 (*.f64 b (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b))) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) a)) | |
| 29.5% | (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 b b))))) | |
| 30.5% | (/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 30.5% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 29.9% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 97.5% | (/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| ▶ | 93.6% | (/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
| 29.9% | (/.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (*.f64 a a) #s(literal 3 binary64))) | |
| 96.5% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (*.f64 c (fma.f64 c (fma.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 3/2 binary64) b))))) #s(literal 3 binary64)) | |
| 83.1% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) | |
| 93.2% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (/.f64 (fma.f64 #s(literal -9/2 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) (-.f64 (fma.f64 #s(literal 9/4 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) (*.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.8% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 93.3% | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) | |
| 93.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 93.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 93.6% | (/.f64 #s(approx (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (*.f64 b (*.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) a) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 a (*.f64 b b))))))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 29.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) | |
| 29.0% | (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) | |
| 29.4% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| 30.4% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) | |
| 29.9% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) #s(literal 3 binary64)) a))) | |
| 28.1% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(approx (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (fma.f64 c (fma.f64 #s(literal -3 binary64) a (fma.f64 #s(literal 9/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) (*.f64 #s(literal 3/2 binary64) a))) (*.f64 b b))) #s(literal 3 binary64)) a))) | |
| 29.9% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) | |
| 29.0% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64))) (/.f64 (/.f64 b a) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64))))) | |
| 97.5% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) 3) a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c c) (*.f64 #s(literal 3/2 binary64) (*.f64 c (*.f64 (*.f64 a c) #s(literal -3/2 binary64)))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c c) (*.f64 #s(literal 3/2 binary64) (*.f64 c (*.f64 (*.f64 a c) #s(literal -3/2 binary64))))) (*.f64 b b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) a) (neg.f64 (fma.f64 (*.f64 #s(literal -81/32 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c c) (*.f64 #s(literal 3/2 binary64) (*.f64 c (*.f64 (*.f64 a c) #s(literal -3/2 binary64)))))) (neg.f64 (*.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c c) (*.f64 #s(literal 3/2 binary64) (*.f64 c (*.f64 (*.f64 a c) #s(literal -3/2 binary64))))))))))) (pow.f64 b #s(literal 6 binary64))))))) (pow.f64 b #s(literal 3 binary64))))) | |
| 29.9% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 29.9% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 29.9% | (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) | |
| 29.9% | (*.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1/3 binary64)) | |
| ▶ | 29.9% | (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
| 93.7% | #s(approx (/ (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) 3) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 3 binary64))))) | |
| 93.7% | #s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 97.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))) | |
| 97.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(literal -135/128 binary64) a)) a (*.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) (*.f64 b b))))) a))) | |
| ▶ | 98.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 96.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| ▶ | 82.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| 96.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 93.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ✓ | 82.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| 97.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 b b) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c) (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)))))))) (pow.f64 b #s(literal 7 binary64))))) | |
| 82.5% | #s(approx (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 c (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)))) (*.f64 (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) | |
| 82.7% | #s(approx (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) |
Compiled 5 387 to 3 036 computations (43.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| cost-diff | 192 | (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 320 | (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))))) | |
| cost-diff | 7488 | (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| cost-diff | 6400 | (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) | |
| cost-diff | 320 | (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) | |
| cost-diff | 384 | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) | |
| cost-diff | 640 | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) | |
| cost-diff | 0 | (/.f64 b c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| cost-diff | 384 | (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 5 892× | lower-fma.f32 |
| 5 874× | lower-fma.f64 |
| 5 150× | lower-*.f32 |
| 5 106× | lower-*.f64 |
| 4 390× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 1150 |
| 0 | 167 | 1154 |
| 1 | 321 | 1119 |
| 2 | 764 | 1111 |
| 3 | 1941 | 1021 |
| 4 | 3097 | 1017 |
| 5 | 7525 | 1017 |
| 0 | 8247 | 1002 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) |
(*.f64 #s(literal -135/128 binary64) (*.f64 a a)) |
#s(literal -135/128 binary64) |
(*.f64 a a) |
a |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))))) |
(*.f64 b b) |
b |
#s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))) |
(*.f64 c c) |
(fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))) |
#s(literal -9/16 binary64) |
(*.f64 a c) |
(*.f64 #s(literal -3/8 binary64) (*.f64 b b)) |
#s(literal -3/8 binary64) |
(pow.f64 b #s(literal 7 binary64)) |
#s(literal 7 binary64) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
#s(literal -1/2 binary64) |
(/.f64 b c) |
b |
c |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) |
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a)) |
b |
(*.f64 (*.f64 #s(literal -3 binary64) c) a) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 a b) |
(*.f64 a a) |
#s(literal 3 binary64) |
(*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(pow.f64 a #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/3 binary64) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) |
#s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) |
(*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))))) |
b |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))) |
#s(literal 1/2 binary64) |
(fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) |
(*.f64 a c) |
a |
c |
#s(literal -9 binary64) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)) |
(fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(*.f64 a a) |
(*.f64 c c) |
#s(literal 27 binary64) |
(*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))) |
#s(literal -1/4 binary64) |
(pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)) |
(*.f64 (*.f64 a c) #s(literal -9 binary64)) |
#s(literal 2 binary64) |
(*.f64 b b) |
(/.f64 #s(literal 1/3 binary64) a) |
#s(literal 1/3 binary64) |
(fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) |
(fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a))) |
(*.f64 #s(literal -135/128 binary64) (*.f64 a a)) |
(*.f64 (*.f64 a a) #s(literal -135/128 binary64)) |
#s(literal -135/128 binary64) |
(*.f64 a a) |
a |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))))) |
(*.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b)) |
(*.f64 b b) |
b |
#s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))) |
#s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) |
(*.f64 c c) |
(fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) |
#s(literal -9/16 binary64) |
(*.f64 a c) |
(*.f64 c a) |
(*.f64 #s(literal -3/8 binary64) (*.f64 b b)) |
(*.f64 (*.f64 b b) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(pow.f64 b #s(literal 7 binary64)) |
#s(literal 7 binary64) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
#s(literal -1/2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
#s(literal -1/2 binary64) |
(/.f64 b c) |
b |
c |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b) a) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b) a) |
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) a) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) |
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
b |
(*.f64 (*.f64 #s(literal -3 binary64) c) a) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 a b) |
(*.f64 a a) |
#s(literal 3 binary64) |
(*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b) a) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal -2 binary64))) |
(pow.f64 a #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/3 binary64) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) #s(literal 27/4 binary64)) (*.f64 (*.f64 #s(literal -9/2 binary64) (*.f64 c a)) b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b (hypot.f64 b b))))) |
(*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) #s(literal 27/4 binary64)) (*.f64 (*.f64 #s(literal -9/2 binary64) (*.f64 c a)) b)))) |
#s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) |
#s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (fma.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) #s(literal 27/4 binary64)) (*.f64 (*.f64 #s(literal -9/2 binary64) (*.f64 c a)) b))) |
(*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) #s(literal 27/4 binary64)) (*.f64 (*.f64 #s(literal -9/2 binary64) (*.f64 c a)) b)) |
b |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (/.f64 #s(literal 27/4 binary64) (*.f64 b b))) #s(literal 1/2 binary64) (*.f64 #s(literal -9/2 binary64) (*.f64 c a))) |
#s(literal 1/2 binary64) |
(fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -9 binary64) a) c (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (/.f64 #s(literal 27/4 binary64) (*.f64 b b)))) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
#s(literal -9 binary64) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)) |
(*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (/.f64 #s(literal 27/4 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) #s(literal 27/4 binary64)) |
(*.f64 (*.f64 a a) (*.f64 c c)) |
(*.f64 (*.f64 (*.f64 c a) c) a) |
(*.f64 a a) |
(*.f64 c c) |
#s(literal 27 binary64) |
(*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -9 binary64) (*.f64 c a)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal -9 binary64) (*.f64 c a)) #s(literal 2 binary64)) |
(*.f64 (*.f64 a c) #s(literal -9 binary64)) |
(*.f64 #s(literal -9 binary64) (*.f64 c a)) |
#s(literal 2 binary64) |
(*.f64 b b) |
(/.f64 #s(literal 1/3 binary64) a) |
#s(literal 1/3 binary64) |
(fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b (hypot.f64 b b))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b) b (*.f64 #s(literal -3 binary64) (*.f64 c a))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.38119125976844204 | (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)) | |
| accuracy | 0.4668350586106521 | (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.9558882442097908 | (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) | |
| accuracy | 3.6123923101800512 | #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) | |
| accuracy | 0.27734375 | (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 0.3444137695368841 | (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| accuracy | 0.3984375 | (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64)) | |
| accuracy | 44.82340796646154 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 0.23828125 | (*.f64 (*.f64 #s(literal -3 binary64) c) a) | |
| accuracy | 0.29296875 | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) | |
| accuracy | 0.34212875976844204 | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) | |
| accuracy | 45.000052015386814 | (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 0.30078125 | (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) | |
| accuracy | 10.792165971796669 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| accuracy | 0.3359375 | (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))))) | |
| accuracy | 0.359375 | (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))) | |
| accuracy | 0.3991012695368841 | (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64))) | |
| accuracy | 1.1712716722047924 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 234.0ms | 168× | 1 | valid |
| 93.0ms | 88× | 0 | valid |
Compiled 835 to 107 computations (87.2% saved)
ival-mult: 84.0ms (34.7% of total)ival-pow: 37.0ms (15.3% of total)ival-div: 32.0ms (13.2% of total)adjust: 28.0ms (11.6% of total)ival-add: 24.0ms (9.9% of total)ival-sub: 11.0ms (4.5% of total)const: 10.0ms (4.1% of total)ival-sqrt: 9.0ms (3.7% of total)ival-pow2: 4.0ms (1.7% of total)exact: 2.0ms (0.8% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) (patch #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64))) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) #<representation:binary64>) () ()) |
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation:binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ()) |
#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) (patch (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) #<representation:binary64>) () ()) |
#s(alt (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<representation:binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation:binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))))) (patch (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))) (patch (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))))) (patch (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -3 binary64) c) a) (patch (*.f64 (*.f64 #s(literal -3 binary64) c) a) #<representation:binary64>) () ()) |
#s(alt (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64)) (patch (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64)) #<representation:binary64>) () ()) |
#s(alt #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (patch #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) #<representation:binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)) (patch (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) #<representation:binary64>) () ())) ()) |
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#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation:binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation:binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation:binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (sqrt -3)) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (* (pow a 3) c)) (sqrt -3)) (taylor inf c) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))) (taylor inf c) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (/ (* a b) c))) (taylor inf c) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))) (/ (* a b) c))) (taylor inf c) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (* (pow a 3) c)) (sqrt -3)) (taylor inf c) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))) (taylor inf c) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3))))) (taylor inf c) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))))) (taylor inf c) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) #<representation:binary64>) () ())) ()) |
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) (patch (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) (patch (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) (patch (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) (patch (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (* (pow a 3) c)) (sqrt -3)) (taylor inf c) (#s(alt (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))) (taylor inf c) (#s(alt (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ (* a b) c)) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3))))) (taylor inf c) (#s(alt (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ (* a b) c)) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))))) (taylor inf c) (#s(alt (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation:binary64>) () ())) ()) |
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation:binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (taylor inf c) (#s(alt (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (taylor inf c) (#s(alt (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (taylor inf c) (#s(alt (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ()) |
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#s(alt (/ b c) (taylor inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation:binary64>) () ())) ()) |
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#s(alt (/ (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -3/2 (* (pow a 2) c)) (+ (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b) (taylor inf b) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
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#s(alt (* -3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation:binary64>) () ())) ()) |
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#s(alt (* b (+ (* -9/2 (* a c)) (* 1/2 (/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2))))) (taylor inf b) (#s(alt (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))))) (patch (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))))) #<representation:binary64>) () ())) ()) |
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#s(alt (* -3/8 (* (pow b 2) (pow c 2))) (taylor inf b) (#s(alt (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))) (patch (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (taylor inf b) (#s(alt (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))) (patch (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))) #<representation:binary64>) () ())) ()) |
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#s(alt (* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (taylor inf b) (#s(alt (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))) (patch (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))) #<representation:binary64>) () ())) ()) |
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#s(alt (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64))) #<representation:binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) #<representation:binary64>) () ())) ()) |
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#s(alt (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* (pow a 2) c) b)) (taylor 0 a) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) #<representation:binary64>) () ())) ()) |
#s(alt (* a b) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) #<representation:binary64>) () ())) ()) |
#s(alt (* a (+ b (* -3/2 (/ (* a c) b)))) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) #<representation:binary64>) () ())) ()) |
#s(alt (* a (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) #<representation:binary64>) () ())) ()) |
#s(alt (* a (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) (taylor 0 a) (#s(alt (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (patch (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) #<representation:binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 a) (#s(alt (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) (patch (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) (patch (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) (patch (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) (patch (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) #<representation:binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* (pow a 2) c) b)) (taylor 0 a) (#s(alt (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<representation:binary64>) () ())) ()) |
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation:binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation:binary64>) () ())) ()) |
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation:binary64>) () ())) ()) |
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#s(alt (* (pow a 2) (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow a 2)))) (taylor -inf a) (#s(alt #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (patch #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) #<representation:binary64>) () ())) ()) |
#s(alt (* 81 (* (pow a 2) (pow c 2))) (taylor -inf a) (#s(alt (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* 81 (* (pow a 2) (pow c 2))) (taylor -inf a) (#s(alt (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* 81 (* (pow a 2) (pow c 2))) (taylor -inf a) (#s(alt (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (* 81 (* (pow a 2) (pow c 2))) (taylor -inf a) (#s(alt (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 2)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)) (patch (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 2)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)) (patch (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 2)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)) (patch (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 2)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)) (patch (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)) #<representation:binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | b | @ | -inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))))) (pow b 7)) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ (- (* (sqrt (+ (* b b) (* (* -3 c) a))) a) (* a b)) (* a a)) (/ (/ (- (* (sqrt (+ (* b b) (* (* -3 c) a))) a) (* a b)) (* a a)) 3) (- (* (sqrt (+ (* b b) (* (* -3 c) a))) a) (* a b)) (* (sqrt (+ (* b b) (* (* -3 c) a))) a) (* (* a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* (pow a -2) 1/3)) (* a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (* (* c c) (+ (* -9/16 (* a c)) (* -3/8 (* b b)))) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c)))) (* (* -3 c) a) (* (pow a -2) 1/3) (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (pow (* (* a c) -9) 2) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))) |
| 14.0ms | a | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))))) (pow b 7)) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ (- (* (sqrt (+ (* b b) (* (* -3 c) a))) a) (* a b)) (* a a)) (/ (/ (- (* (sqrt (+ (* b b) (* (* -3 c) a))) a) (* a b)) (* a a)) 3) (- (* (sqrt (+ (* b b) (* (* -3 c) a))) a) (* a b)) (* (sqrt (+ (* b b) (* (* -3 c) a))) a) (* (* a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* (pow a -2) 1/3)) (* a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (* (* c c) (+ (* -9/16 (* a c)) (* -3/8 (* b b)))) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c)))) (* (* -3 c) a) (* (pow a -2) 1/3) (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (pow (* (* a c) -9) 2) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))) |
| 9.0ms | c | @ | -inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))))) (pow b 7)) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ (- (* (sqrt (+ (* b b) (* (* -3 c) a))) a) (* a b)) (* a a)) (/ (/ (- (* (sqrt (+ (* b b) (* (* -3 c) a))) a) (* a b)) (* a a)) 3) (- (* (sqrt (+ (* b b) (* (* -3 c) a))) a) (* a b)) (* (sqrt (+ (* b b) (* (* -3 c) a))) a) (* (* a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* (pow a -2) 1/3)) (* a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (* (* c c) (+ (* -9/16 (* a c)) (* -3/8 (* b b)))) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c)))) (* (* -3 c) a) (* (pow a -2) 1/3) (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (pow (* (* a c) -9) 2) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))) |
| 6.0ms | c | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))))) (pow b 7)) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ (- (* (sqrt (+ (* b b) (* (* -3 c) a))) a) (* a b)) (* a a)) (/ (/ (- (* (sqrt (+ (* b b) (* (* -3 c) a))) a) (* a b)) (* a a)) 3) (- (* (sqrt (+ (* b b) (* (* -3 c) a))) a) (* a b)) (* (sqrt (+ (* b b) (* (* -3 c) a))) a) (* (* a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* (pow a -2) 1/3)) (* a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (* (* c c) (+ (* -9/16 (* a c)) (* -3/8 (* b b)))) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c)))) (* (* -3 c) a) (* (pow a -2) 1/3) (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (pow (* (* a c) -9) 2) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))) |
| 6.0ms | b | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))))) (pow b 7)) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ (- (* (sqrt (+ (* b b) (* (* -3 c) a))) a) (* a b)) (* a a)) (/ (/ (- (* (sqrt (+ (* b b) (* (* -3 c) a))) a) (* a b)) (* a a)) 3) (- (* (sqrt (+ (* b b) (* (* -3 c) a))) a) (* a b)) (* (sqrt (+ (* b b) (* (* -3 c) a))) a) (* (* a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (* (pow a -2) 1/3)) (* a (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (* (* c c) (+ (* -9/16 (* a c)) (* -3/8 (* b b)))) (* (* b b) (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c)))) (* (* -3 c) a) (* (pow a -2) 1/3) (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (pow (* (* a c) -9) 2) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))) |
| 1× | egg-herbie |
| 6 840× | lower-*.f64 |
| 6 840× | lower-*.f32 |
| 4 636× | lower-fma.f64 |
| 4 636× | lower-fma.f32 |
| 3 976× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2237 | 26039 |
| 1 | 6463 | 25858 |
| 0 | 8087 | 24839 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -3/2 (/ c b)) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* -3/2 (/ (* (pow a 2) c) b)) |
(* c (+ (* -3/2 (/ (pow a 2) b)) (* -9/8 (/ (* (pow a 3) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ (pow a 2) b)) (* c (+ (* -27/16 (/ (* (pow a 4) c) (pow b 5))) (* -9/8 (/ (pow a 3) (pow b 3))))))) |
(* c (+ (* -3/2 (/ (pow a 2) b)) (* c (+ (* -9/8 (/ (pow a 3) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 4) (pow b 5))) (* -1/2 (/ (* a (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))))) b)))))))) |
(* a b) |
(+ (* -3/2 (/ (* (pow a 2) c) b)) (* a b)) |
(+ (* a b) (* c (+ (* -3/2 (/ (pow a 2) b)) (* -9/8 (/ (* (pow a 3) c) (pow b 3)))))) |
(+ (* a b) (* c (+ (* -3/2 (/ (pow a 2) b)) (* c (+ (* -27/16 (/ (* (pow a 4) c) (pow b 5))) (* -9/8 (/ (pow a 3) (pow b 3)))))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* -3/2 (/ (* (pow a 2) c) b)) |
(* c (+ (* -3/2 (/ (pow a 2) b)) (* -9/8 (/ (* (pow a 3) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ (pow a 2) b)) (* c (+ (* -27/16 (/ (* (pow a 4) c) (pow b 5))) (* -9/8 (/ (pow a 3) (pow b 3))))))) |
(* c (+ (* -3/2 (/ (pow a 2) b)) (* c (+ (* -9/8 (/ (pow a 3) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 4) (pow b 5))) (* -1/2 (/ (* a (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))))) b)))))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) |
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) |
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) |
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) |
(* -9/2 (* a (* b c))) |
(* c (+ (* -9/2 (* a b)) (* 1/2 (* b (* c (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2))))))))) |
(* c (+ (* -9/2 (* a b)) (* 1/2 (* b (* c (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2))))))))) |
(* c (+ (* -9/2 (* a b)) (* 1/2 (* b (* c (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2))))))))) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (* c (+ (* -3 a) (* -3/2 a)))) |
(+ (* 2 (pow b 2)) (* c (+ (* -3 a) (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))))) |
(+ (* 2 (pow b 2)) (* c (+ (* -3 a) (+ (* -3/2 a) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 4))) (* -9/8 (/ (pow a 2) (pow b 2))))))))) |
(* 1/6 (/ (* c (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) |
(* c (+ (* 1/6 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/3 (* c (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))))) |
(* c (+ (* 1/6 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (+ (* 1/3 (* c (- (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/16 (/ (* a (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/3 (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))))))) |
(* c (+ (* 1/6 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (+ (* 1/3 (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (* c (+ (* 1/3 (* c (- (* -1/2 (/ (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/8 (/ (* (pow a 2) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (* (pow b 2) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -27/32 (/ (* (pow a 2) (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 7) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/16 (/ (* a (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))))) (* 1/3 (- (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -9/16 (/ (* a (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 a) (* -3/2 a)) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* -3 a) (* -3/2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2)))))))))))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) |
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) |
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) |
(* -3/8 (* (pow b 4) (pow c 2))) |
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4)))) |
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4)))) |
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4)))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* 1/2 (/ (* c (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4))))) (pow b 3))) |
(* c (+ (* 1/2 (/ (* c (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))))) |
(* c (+ (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (* c (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))))))) |
(* c (+ (* 1/2 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (* -27 (pow a 3)) (* 1/2 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (- (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (pow b 3))))))))) |
(* 81 (* (pow a 2) (pow c 2))) |
(* 81 (* (pow a 2) (pow c 2))) |
(* 81 (* (pow a 2) (pow c 2))) |
(* 81 (* (pow a 2) (pow c 2))) |
(/ (* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 2)) |
(/ (* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 2)) |
(/ (* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 2)) |
(/ (* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 2)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* (sqrt (/ c a)) (sqrt -3)) |
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
(* c (+ (* -1 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3))) (/ (* a b) c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))) (/ (* a b) c))) |
(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
(* c (+ (* -1 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))) |
(* c (+ (* -1 (/ (* a b) c)) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3))))) |
(* c (+ (* -1 (/ (* a b) c)) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ (pow a 3) c)) (sqrt -3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) |
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) |
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) |
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) |
(* 1/2 (* b (* (pow c 2) (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2))))))) |
(* (pow c 2) (+ (* -9/2 (/ (* a b) c)) (* 1/2 (* b (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2)))))))) |
(* (pow c 2) (+ (* -9/2 (/ (* a b) c)) (* 1/2 (* b (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2)))))))) |
(* (pow c 2) (+ (* -9/2 (/ (* a b) c)) (* 1/2 (* b (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2)))))))) |
(* c (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))) |
(* c (+ (* -3 a) (+ (* (sqrt (/ a c)) (* b (sqrt -3))) (/ (pow b 2) c)))) |
(* c (+ (* -3 a) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* (sqrt (/ a c)) (* b (sqrt -3))) (/ (pow b 2) c))))) |
(* c (+ (* -3 a) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* (sqrt (/ a c)) (* b (sqrt -3))) (/ (pow b 2) c)))))) |
(* 1/3 (* (sqrt (* a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))) |
(* c (+ (* -2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (* 1/3 (* (sqrt (/ a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))))) |
(* c (+ (* -2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (+ (* 1/3 (* (sqrt (/ a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (pow c 2)))))) |
(* c (+ (* -2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (+ (* 1/3 (* (sqrt (/ a c)) (/ (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))) (+ (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -1 (/ (* (pow b 5) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))))) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (pow c 3))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (sqrt -27) (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -27)) (* (sqrt -3) (pow (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (* a (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (pow c 2))))))) |
(* -9/16 (* a (pow c 3))) |
(* (pow c 3) (+ (* -9/16 a) (* -3/8 (/ (pow b 2) c)))) |
(* (pow c 3) (+ (* -9/16 a) (* -3/8 (/ (pow b 2) c)))) |
(* (pow c 3) (+ (* -9/16 a) (* -3/8 (/ (pow b 2) c)))) |
(* -9/16 (* a (* (pow b 2) (pow c 3)))) |
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c)))) |
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c)))) |
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c)))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27)))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (- (pow b 6) (* 1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* (sqrt (/ (pow a 3) c)) (sqrt -27))))) (/ (pow b 3) (pow c 2)))) |
(* 81 (* (pow a 2) (pow c 2))) |
(* 81 (* (pow a 2) (pow c 2))) |
(* 81 (* (pow a 2) (pow c 2))) |
(* 81 (* (pow a 2) (pow c 2))) |
(/ (* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 2)) |
(/ (* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 2)) |
(/ (* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 2)) |
(/ (* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 2)) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))) (/ (* a b) c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* a b)) c)) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* a b)) c)) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3))) (/ (* a b) c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b)) (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) |
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) |
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) |
(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) |
(* 1/2 (* b (* (pow c 2) (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2))))))) |
(* (pow c 2) (+ (* -9/2 (/ (* a b) c)) (* 1/2 (* b (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2)))))))) |
(* (pow c 2) (+ (* -9/2 (/ (* a b) c)) (* 1/2 (* b (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2)))))))) |
(* (pow c 2) (+ (* -9/2 (/ (* a b) c)) (* 1/2 (* b (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2)))))))) |
(* -1 (* c (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (pow b 2)) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) c)) (pow b 2)) c)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1/3 (* (sqrt (* a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) (* 2/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -2/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (* -1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))) c))) c)) (* 1/3 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -1 (/ (* (pow b 5) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))))) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) c)) (* 1/3 (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (sqrt 27) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt 27)) (* (sqrt 3) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (* a (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))))))) c)) (* -2/3 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) c)) (* 1/3 (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 a) (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))))))))) |
(* -9/16 (* a (pow c 3))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a)))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a)))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a)))) |
(* -9/16 (* a (* (pow b 2) (pow c 3)))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27))) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27)))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (sqrt 27))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 27)))) (* (sqrt (/ (pow a 3) c)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow c 2)))) |
(* 81 (* (pow a 2) (pow c 2))) |
(* 81 (* (pow a 2) (pow c 2))) |
(* 81 (* (pow a 2) (pow c 2))) |
(* 81 (* (pow a 2) (pow c 2))) |
(/ (* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 2)) |
(/ (* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 2)) |
(/ (* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 2)) |
(/ (* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) (pow b 2)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7)) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
(+ (* -1 (* a b)) (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ a c)) (/ b (sqrt -3)))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(+ (* (sqrt (* (pow a 3) c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* (pow a 3) c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
(+ (* -1 (* a b)) (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(+ (* b (+ (* -1 a) (* 1/2 (* (sqrt (/ a c)) (/ b (sqrt -3)))))) (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(+ (* b (+ (* -1 a) (* b (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))))))) (* (sqrt (* (pow a 3) c)) (sqrt -3))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(* 1/2 (/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) b)) |
(/ (+ (* -9/2 (* a (* (pow b 2) c))) (* 1/2 (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))))) b) |
(/ (+ (* -9/2 (* a (* (pow b 2) c))) (* 1/2 (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))))) b) |
(/ (+ (* -9/2 (* a (* (pow b 2) c))) (* 1/2 (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))))) b) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (* (sqrt (* a c)) (* b (sqrt -3)))) |
(+ (* -3 (* a c)) (* b (+ b (* (sqrt (* a c)) (sqrt -3))))) |
(+ (* -3 (* a c)) (* b (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))))) |
(* -1/9 (* (sqrt (/ c a)) (sqrt -27))) |
(+ (* -1/9 (* (sqrt (/ c a)) (sqrt -27))) (* -1/27 (/ (* b (* (sqrt -27) (sqrt -3))) a))) |
(+ (* -1/9 (* (sqrt (/ c a)) (sqrt -27))) (* b (+ (* -1/27 (/ (* (sqrt -27) (sqrt -3)) a)) (* 1/3 (* b (- (* -1/6 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/27 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -27) (pow (sqrt -3) 2)))) (* 2/9 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -27)))))))))) |
(+ (* -1/9 (* (sqrt (/ c a)) (sqrt -27))) (* b (+ (* -1/27 (/ (* (sqrt -27) (sqrt -3)) a)) (* b (+ (* 1/3 (* b (- (* 1/3 (/ 1 (* (pow a 2) c))) (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (- (* -1/6 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/27 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -27) (pow (sqrt -3) 2)))) (* 2/9 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -27)))))))) (+ (* 1/18 (/ (sqrt -27) (* (pow a 2) (* c (sqrt -3))))) (* 2/27 (/ (* (sqrt -27) (sqrt -3)) (* (pow a 2) c)))))))) (* 1/3 (- (* -1/6 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/27 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -27) (pow (sqrt -3) 2)))) (* 2/9 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -27))))))))))) |
(* -9/16 (* a (pow c 3))) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(* -9/16 (* a (* (pow b 2) (pow c 3)))) |
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))) |
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))) |
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (sqrt -27)))) (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) (* (pow b 2) (+ (* -1 b) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27))))))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (sqrt -27)))) (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (+ (* -6 (* a c)) (* -3 (* a c))) (* 1/4 (/ (pow (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -27) 2))))))) (sqrt -27)))) 1))))) |
(/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -3/2 (/ c b)) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -3/2 (/ (* (pow a 2) c) b)) |
(/ (+ (* -3/2 (* (pow a 2) c)) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -3/2 (* (pow a 2) c)) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -3/2 (* (pow a 2) c)) (+ (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b) |
(* a b) |
(* b (+ a (* -3/2 (/ (* (pow a 2) c) (pow b 2))))) |
(* b (+ a (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) |
(* b (+ a (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -3/2 (/ (* (pow a 2) c) b)) |
(/ (+ (* -3/2 (* (pow a 2) c)) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -3/2 (* (pow a 2) c)) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -3/2 (* (pow a 2) c)) (+ (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1/2 (/ (* a (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
b |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -9/2 (* a (* b c))) |
(* b (+ (* -9/2 (* a c)) (* 1/2 (/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2))))) |
(* b (+ (* -9/2 (* a c)) (* 1/2 (/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2))))) |
(* b (+ (* -9/2 (* a c)) (* 1/2 (/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2))))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (* -3/2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (* a b))) |
(/ (+ (* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 1/3 (/ (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))) (pow b 2)))) b) |
(/ (+ (* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (+ (* 1/3 (/ (- (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* -1/16 (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))))))) (pow b 4))) (* 1/3 (/ (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))) (pow b 2))))) b) |
(/ (+ (* 1/18 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (+ (* 1/3 (/ (- (* -1/6 (/ (+ (* 1/4 (pow (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))))))))) a)) (+ (* -3/8 (* (pow a 2) (* (pow c 2) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a)))))) (+ (* -3/32 (* (pow a 2) (* (pow c 3) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* -1/16 (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a)))))))))))) (pow b 6))) (+ (* 1/3 (/ (- (* 1/6 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* -1/16 (* a (* (pow c 2) (+ (* -6 (* a c)) (* -3 (* a c)))))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))))))) (pow b 4))) (* 1/3 (/ (- (* 1/6 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -6 (* a c)) (* -3 (* a c))) (+ (* -3 (* a c)) (* -3/2 (* a c)))) a))) (pow b 2)))))) b) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* -3/8 (* (pow b 4) (pow c 2))) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* 1/2 (* b (+ (* -6 (* a c)) (* -3 (* a c))))) |
(* b (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2))))) |
(* b (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 4))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2)))))) |
(* b (+ (* -1/2 (/ (+ (* 1/4 (pow (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))))))))) (pow b 6))) (+ (* 1/2 (+ (* -6 (* a c)) (* -3 (* a c)))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 4))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 2))))))) |
(/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1 (/ (* b (- a (* -1 a))) (pow a 2))) |
(* -1 (* b (- (+ (* -3/2 (/ c (pow b 2))) (/ 1 a)) (/ -1 a)))) |
(* -1 (* b (- (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) (/ -1 a)))) |
(* -1 (* b (- (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) (/ -1 a)))) |
(* -1/3 (/ (* b (- a (* -1 a))) (pow a 2))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ (- a (* -1 a)) (pow a 2)))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ (- a (* -1 a)) (pow a 2))))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ (- a (* -1 a)) (pow a 2)))))))) |
(* -1 (* b (- a (* -1 a)))) |
(* -1 (* b (- (+ a (* -3/2 (/ (* (pow a 2) c) (pow b 2)))) (* -1 a)))) |
(* -1 (* b (- (+ a (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) (* -1 a)))) |
(* -1 (* b (- (+ a (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) (* -1 a)))) |
(* -1 (* a b)) |
(* -1 (* b (+ a (* -3/2 (/ (* (pow a 2) c) (pow b 2)))))) |
(* -1 (* b (+ a (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ a (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2 (* a b)) |
(* -1 (* b (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (* 2 a)))) |
(* -1 (* b (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 2 a))))) |
(* -1 (* b (+ (* -27/16 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -9/8 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 2 a)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -9/2 (* a (* b c))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2))) (* 9/2 (* a c))))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2))) (* 9/2 (* a c))))) |
(* -1 (* b (+ (* -1/2 (/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2))) (* 9/2 (* a c))))) |
(+ (* -3 (* a c)) (* 3/2 (* a c))) |
(+ (* -3 (* a c)) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c)))) |
(+ (* -3 (* a c)) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) |
(+ (* -3 (* a c)) (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* 1/3 (/ (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a))) (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* 1/3 (/ (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a))) (pow b 2))) (+ (* 1/3 (/ (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (+ (* 9/4 (* a (pow c 2))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))))) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* 1/3 (/ (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a))) (pow b 2))) (+ (* 1/3 (/ (- (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) a)) (+ (* 9/8 (* (pow a 2) (* (pow c 2) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))))) (+ (* 27/8 (* (pow a 2) (pow c 3))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (+ (* 9/4 (* a (pow c 2))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))))))))) (pow b 6))) (+ (* 1/3 (/ (- (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) a)) (+ (* 9/4 (* a (pow c 2))) (* (+ (* -3 (* a c)) (* 3/2 (* a c))) (- (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) a)) (* 2 (/ (+ (* -3 (* a c)) (* 3/2 (* a c))) a)))))) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* -3/8 (* (pow b 4) (pow c 2))) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* -2 (pow b 3)) |
(* -1 (* (pow b 3) (+ 2 (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2)))))) |
(* -1 (* (pow b 3) (+ 2 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4))))))) |
(* -1 (* (pow b 3) (+ 2 (+ (* 1/2 (/ (+ (* -6 (* a c)) (* -3 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -27 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -6 (* a c)) (* -3 (* a c))) (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -6 (* a c)) (* -3 (* a c))) 2))) (pow b 4)))))))) |
(/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -81/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ (* (pow a 2) c) b)) |
(* (pow a 2) (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* (pow a 2) (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* a b) |
(* a (+ b (* -3/2 (/ (* a c) b)))) |
(* a (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))) |
(* a (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ (* (pow a 2) c) b)) |
(* (pow a 2) (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* (pow a 2) (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) |
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) |
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) |
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) |
(* -9/2 (* a (* b c))) |
(* a (+ (* -9/2 (* b c)) (* 1/2 (* a (* b (+ (* -81/4 (/ (pow c 2) (pow b 2))) (* 27 (/ (pow c 2) (pow b 2))))))))) |
(* a (+ (* -9/2 (* b c)) (* 1/2 (* a (* b (+ (* -81/4 (/ (pow c 2) (pow b 2))) (* 27 (/ (pow c 2) (pow b 2))))))))) |
(* a (+ (* -9/2 (* b c)) (* 1/2 (* a (* b (+ (* -81/4 (/ (pow c 2) (pow b 2))) (* 27 (/ (pow c 2) (pow b 2))))))))) |
(* 2 (pow b 2)) |
(+ (* 2 (pow b 2)) (* a (+ (* -3 c) (* -3/2 c)))) |
(+ (* 2 (pow b 2)) (* a (+ (* -3 c) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))))) |
(+ (* 2 (pow b 2)) (* a (+ (* -3 c) (+ (* -3/2 c) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 4))) (* -9/8 (/ (pow c 2) (pow b 2))))))))) |
(* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) |
(+ (* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/3 (* a (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))) |
(+ (* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* a (+ (* 1/3 (* a (- (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -9/16 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 c) (* -3/2 c)) (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/3 (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))))) |
(+ (* 1/6 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* a (+ (* 1/3 (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (* a (+ (* 1/3 (* a (- (* -1/2 (/ (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -9/8 (/ (* (pow c 2) (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (* (pow b 2) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -27/32 (/ (* (pow c 3) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 7) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 c) (* -3/2 c)) (- (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -9/16 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 c) (* -3/2 c)) (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))))) (* 1/3 (- (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -9/16 (/ (* (pow c 2) (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -3 c) (* -3/2 c)) (- (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (+ (* -3 c) (* -3/2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2))))))))))) |
(* -3/8 (* (pow b 2) (pow c 2))) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(* -3/8 (* (pow b 4) (pow c 2))) |
(+ (* -9/16 (* a (* (pow b 2) (pow c 3)))) (* -3/8 (* (pow b 4) (pow c 2)))) |
(+ (* -9/16 (* a (* (pow b 2) (pow c 3)))) (* -3/8 (* (pow b 4) (pow c 2)))) |
(+ (* -9/16 (* a (* (pow b 2) (pow c 3)))) (* -3/8 (* (pow b 4) (pow c 2)))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(/ 1/3 (pow a 2)) |
(/ 1/3 (pow a 2)) |
(/ 1/3 (pow a 2)) |
(/ 1/3 (pow a 2)) |
(* 1/2 (/ (* a (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c)))) (pow b 3))) |
(* a (+ (* 1/2 (/ (* a (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))))) |
(* a (+ (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (* a (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))))))) |
(* a (+ (* 1/2 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (pow (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (* -27 (pow c 3)) (* 1/2 (/ (* (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (- (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (pow b 3))))))))) |
(* 81 (* (pow a 2) (pow c 2))) |
(* 81 (* (pow a 2) (pow c 2))) |
(* 81 (* (pow a 2) (pow c 2))) |
(* 81 (* (pow a 2) (pow c 2))) |
(/ (* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 2)) |
(/ (* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 2)) |
(/ (* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 2)) |
(/ (* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 2)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
(* (pow a 2) (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* (pow a 2) (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -3)) |
(* (pow a 2) (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* (pow a 2) (+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* (pow a 2) (+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) |
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) |
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) |
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) |
(* 1/2 (* (pow a 2) (* b (+ (* -81/4 (/ (pow c 2) (pow b 2))) (* 27 (/ (pow c 2) (pow b 2))))))) |
(* (pow a 2) (+ (* -9/2 (/ (* b c) a)) (* 1/2 (* b (+ (* -81/4 (/ (pow c 2) (pow b 2))) (* 27 (/ (pow c 2) (pow b 2)))))))) |
(* (pow a 2) (+ (* -9/2 (/ (* b c) a)) (* 1/2 (* b (+ (* -81/4 (/ (pow c 2) (pow b 2))) (* 27 (/ (pow c 2) (pow b 2)))))))) |
(* (pow a 2) (+ (* -9/2 (/ (* b c) a)) (* 1/2 (* b (+ (* -81/4 (/ (pow c 2) (pow b 2))) (* 27 (/ (pow c 2) (pow b 2)))))))) |
(* a (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))) |
(* a (+ (* -3 c) (+ (* (sqrt (/ c a)) (* b (sqrt -3))) (/ (pow b 2) a)))) |
(* a (+ (* -3 c) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* (sqrt (/ c a)) (* b (sqrt -3))) (/ (pow b 2) a))))) |
(* a (+ (* -3 c) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* (sqrt (/ c a)) (* b (sqrt -3))) (/ (pow b 2) a)))))) |
(* 1/3 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))) |
(+ (* -2/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (* 1/3 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) |
(+ (* -2/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (+ (* 1/3 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -27))) (* (sqrt -3) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (pow a 2))))) |
(+ (* -2/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (+ (* 1/3 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))) (+ (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (* (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* -1 (/ (* (pow b 5) (* c (sqrt -27))) (* (sqrt -3) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -27))) (* (sqrt -3) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (pow a 3))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* (sqrt -27) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -27)) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -27))) (* (sqrt -3) (pow (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))) 2)))) (/ (pow b 3) (+ (* -3 c) (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (pow a 2)))))) |
(* -9/16 (* a (pow c 3))) |
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a)))) |
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a)))) |
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a)))) |
(* -9/16 (* a (* (pow b 2) (pow c 3)))) |
(* a (+ (* -9/16 (* (pow b 2) (pow c 3))) (* -3/8 (/ (* (pow b 4) (pow c 2)) a)))) |
(* a (+ (* -9/16 (* (pow b 2) (pow c 3))) (* -3/8 (/ (* (pow b 4) (pow c 2)) a)))) |
(* a (+ (* -9/16 (* (pow b 2) (pow c 3))) (* -3/8 (/ (* (pow b 4) (pow c 2)) a)))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(/ 1/3 (pow a 2)) |
(/ 1/3 (pow a 2)) |
(/ 1/3 (pow a 2)) |
(/ 1/3 (pow a 2)) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -27)) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27)))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (sqrt -27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (- (pow b 6) (* 1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt -27) 2))))) (sqrt -27)))) (* (sqrt (/ (pow c 3) a)) (sqrt -27))))) (/ (pow b 3) (pow a 2)))) |
(* 81 (* (pow a 2) (pow c 2))) |
(* 81 (* (pow a 2) (pow c 2))) |
(* 81 (* (pow a 2) (pow c 2))) |
(* 81 (* (pow a 2) (pow c 2))) |
(/ (* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 2)) |
(/ (* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 2)) |
(/ (* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 2)) |
(/ (* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 2)) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* -1 b)) a)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1 b)) a)))) |
(* -1 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (* (pow a 3) c)) (* (sqrt -1) (sqrt 3)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) |
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) |
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) |
(* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) |
(* 1/2 (* (pow a 2) (* b (+ (* -81/4 (/ (pow c 2) (pow b 2))) (* 27 (/ (pow c 2) (pow b 2))))))) |
(* (pow a 2) (+ (* -9/2 (/ (* b c) a)) (* 1/2 (* b (+ (* -81/4 (/ (pow c 2) (pow b 2))) (* 27 (/ (pow c 2) (pow b 2)))))))) |
(* (pow a 2) (+ (* -9/2 (/ (* b c) a)) (* 1/2 (* b (+ (* -81/4 (/ (pow c 2) (pow b 2))) (* 27 (/ (pow c 2) (pow b 2)))))))) |
(* (pow a 2) (+ (* -9/2 (/ (* b c) a)) (* 1/2 (* b (+ (* -81/4 (/ (pow c 2) (pow b 2))) (* 27 (/ (pow c 2) (pow b 2)))))))) |
(* -1 (* a (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (pow b 2)) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3))))) a)) (pow b 2)) a)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1/3 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(+ (* -2/3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (* -1/3 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) |
(+ (* -1 (/ (+ (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) a)) (* 2/3 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) a)) (* -1/3 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))) (* 1/3 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -1 (/ (* (pow b 5) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (* (sqrt 27) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt 27))) (* (sqrt 3) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2)))) (/ (pow b 3) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))))) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) a))) a)) (* 2/3 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 27))) (pow (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) 2))))) a)) (* -1/3 (* (sqrt (/ (pow c 3) a)) (/ (* (sqrt -1) (sqrt 27)) (+ (* 3 c) (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))))))) |
(* -9/16 (* a (pow c 3))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3))))) |
(* -9/16 (* a (* (pow b 2) (pow c 3)))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(/ 1/3 (pow a 2)) |
(/ 1/3 (pow a 2)) |
(/ 1/3 (pow a 2)) |
(/ 1/3 (pow a 2)) |
(* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow a 2)))) |
(* 81 (* (pow a 2) (pow c 2))) |
(* 81 (* (pow a 2) (pow c 2))) |
(* 81 (* (pow a 2) (pow c 2))) |
(* 81 (* (pow a 2) (pow c 2))) |
(/ (* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 2)) |
(/ (* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 2)) |
(/ (* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 2)) |
(/ (* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 2)) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (*.f64 c c) (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (*.f64 #s(literal -9/16 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) (neg.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (*.f64 c c) (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (*.f64 #s(literal -9/16 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) (neg.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (*.f64 c c) (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (*.f64 #s(literal -9/16 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) (neg.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (*.f64 c c) (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) (*.f64 #s(literal -9/16 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) (neg.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(* -3/2 (/ c b)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a c)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) b))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 3/2 binary64) b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 3/2 binary64) b)))) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* -3/2 (/ (* (pow a 2) c) b)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 a a) c) b)) |
(* c (+ (* -3/2 (/ (pow a 2) b)) (* -9/8 (/ (* (pow a 3) c) (pow b 3))))) |
(*.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a a) b)))) |
(* c (+ (* -3/2 (/ (pow a 2) b)) (* c (+ (* -27/16 (/ (* (pow a 4) c) (pow b 5))) (* -9/8 (/ (pow a 3) (pow b 3))))))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a a) b)))) |
(* c (+ (* -3/2 (/ (pow a 2) b)) (* c (+ (* -9/8 (/ (pow a 3) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 4) (pow b 5))) (* -1/2 (/ (* a (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))))) b)))))))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a a) b)))) |
(* a b) |
(*.f64 a b) |
(+ (* -3/2 (/ (* (pow a 2) c) b)) (* a b)) |
(fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 a a) c) b) (*.f64 a b)) |
(+ (* a b) (* c (+ (* -3/2 (/ (pow a 2) b)) (* -9/8 (/ (* (pow a 3) c) (pow b 3)))))) |
(fma.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a a) b))) (*.f64 a b)) |
(+ (* a b) (* c (+ (* -3/2 (/ (pow a 2) b)) (* c (+ (* -27/16 (/ (* (pow a 4) c) (pow b 5))) (* -9/8 (/ (pow a 3) (pow b 3)))))))) |
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -27/16 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a a) b))) (*.f64 a b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
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(* (sqrt (* a c)) (sqrt -3)) |
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(* (sqrt (* a c)) (sqrt -3)) |
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(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) |
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(* (pow c 2) (+ (* -81/4 (pow a 2)) (* 27 (pow a 2)))) |
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(* (pow c 2) (+ (* -9/2 (/ (* a b) c)) (* 1/2 (* b (+ (* -81/4 (/ (pow a 2) (pow b 2))) (* 27 (/ (pow a 2) (pow b 2)))))))) |
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(* c (+ (* -3 a) (* (sqrt (/ a c)) (* b (sqrt -3))))) |
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(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 27 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c))))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 27 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal 9 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c))))) (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64))) (*.f64 (sqrt.f64 #s(literal 27 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c))))) (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) (sqrt.f64 #s(literal 27 binary64))) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)) #s(literal 2 binary64))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)))))) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)))) (/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 5 binary64)) c) (sqrt.f64 #s(literal 27 binary64)))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)) #s(literal 3 binary64)))))) a) (*.f64 #s(literal -1/3 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64))) (*.f64 (sqrt.f64 #s(literal 27 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c))))) (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) (sqrt.f64 #s(literal 27 binary64))) (sqrt.f64 #s(literal 3 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)) #s(literal 2 binary64))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) c)))))))) a)) a)) |
(* -9/16 (* a (pow c 3))) |
(*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 b b) (/.f64 (*.f64 c c) a)) (*.f64 #s(literal 9/16 binary64) (pow.f64 c #s(literal 3 binary64))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 b b) (/.f64 (*.f64 c c) a)) (*.f64 #s(literal 9/16 binary64) (pow.f64 c #s(literal 3 binary64))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 b b) (/.f64 (*.f64 c c) a)) (*.f64 #s(literal 9/16 binary64) (pow.f64 c #s(literal 3 binary64))))) |
(* -9/16 (* a (* (pow b 2) (pow c 3)))) |
(*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 (*.f64 b b) (pow.f64 c #s(literal 3 binary64)))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 b b) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (*.f64 c c) a))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 b b) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (*.f64 c c) a))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 b b) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 (*.f64 c c) a))))) |
(* -3 (* a c)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(* -3 (* a c)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(* -3 (* a c)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(* -3 (* a c)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(/ 1/3 (pow a 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 a a)) |
(/ 1/3 (pow a 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 a a)) |
(/ 1/3 (pow a 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 a a)) |
(/ 1/3 (pow a 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 a a)) |
(* (sqrt (* (pow a 3) (pow c 3))) (* (sqrt -1) (sqrt 27))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 27 binary64)))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27)))) (/ (pow b 3) (pow a 2)))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64))) (sqrt.f64 #s(literal 27 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64)) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 a a)))))) |
(* (pow a 2) (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow a 2)))) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal 9 binary64))) (sqrt.f64 #s(literal 27 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64))) (sqrt.f64 #s(literal 27 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64)) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 a a))))))) |
(* (pow a 2) (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (- (pow b 6) (* -1/4 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt 27) 2)))))) (sqrt 27)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (sqrt 27))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 27)))) (* (sqrt (/ (pow c 3) a)) (* (sqrt -1) (sqrt 27))))) (/ (pow b 3) (pow a 2)))) |
(*.f64 (*.f64 a a) (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64))) (sqrt.f64 #s(literal 27 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 27 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 c c)) #s(literal 27 binary64)) #s(literal 2 binary64)) #s(literal 27 binary64))))) (sqrt.f64 #s(literal 27 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal 9 binary64))) (sqrt.f64 #s(literal 27 binary64))))) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 a a)))) |
(* 81 (* (pow a 2) (pow c 2))) |
(*.f64 (*.f64 #s(literal 81 binary64) (*.f64 a a)) (*.f64 c c)) |
(* 81 (* (pow a 2) (pow c 2))) |
(*.f64 (*.f64 #s(literal 81 binary64) (*.f64 a a)) (*.f64 c c)) |
(* 81 (* (pow a 2) (pow c 2))) |
(*.f64 (*.f64 #s(literal 81 binary64) (*.f64 a a)) (*.f64 c c)) |
(* 81 (* (pow a 2) (pow c 2))) |
(*.f64 (*.f64 #s(literal 81 binary64) (*.f64 a a)) (*.f64 c c)) |
(/ (* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 2)) |
(*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 (*.f64 c c) #s(literal 27/4 binary64)) b)) |
(/ (* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 2)) |
(*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 (*.f64 c c) #s(literal 27/4 binary64)) b)) |
(/ (* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 2)) |
(*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 (*.f64 c c) #s(literal 27/4 binary64)) b)) |
(/ (* (pow a 2) (+ (* -81/4 (pow c 2)) (* 27 (pow c 2)))) (pow b 2)) |
(*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 (*.f64 c c) #s(literal 27/4 binary64)) b)) |
| 4 962× | lower-*.f32 |
| 4 918× | lower-*.f64 |
| 4 866× | lower-fma.f32 |
| 4 848× | lower-fma.f64 |
| 2 284× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 767 |
| 0 | 167 | 771 |
| 1 | 666 | 716 |
| 2 | 5326 | 716 |
| 0 | 8204 | 707 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b))))))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 b c) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) |
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) |
(*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
(*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) |
(*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))) |
(*.f64 (*.f64 b b) #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 c c) (fma.f64 #s(literal -9/16 binary64) (*.f64 a c) (*.f64 #s(literal -3/8 binary64) (*.f64 b b)))))) |
(*.f64 (*.f64 #s(literal -3 binary64) c) a) |
(*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64)) |
#s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) |
(pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 b c) #s(literal -3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a) #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) (*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) (*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 b c) #s(literal -3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a))) |
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(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 b c) #s(literal -3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a) #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) (*.f64 a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))))) |
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(/.f64 (*.f64 (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) a) #s(literal 1/3 binary64)) a) |
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(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64))) (pow.f64 b #s(literal -2 binary64))) |
(pow.f64 (/.f64 b (/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64))) b)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b (/.f64 b (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 b (/.f64 b (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64))))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 729 binary64) (pow.f64 (*.f64 c a) #s(literal 4 binary64))) (pow.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64)) #s(literal 2 binary64))) (pow.f64 b #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 19683 binary64) (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64)) #s(literal 3 binary64))) (pow.f64 b #s(literal -2 binary64))) (fma.f64 #s(literal 729 binary64) (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64)) (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64))) b)) (neg.f64 b)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64))))) (*.f64 b b)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 729 binary64) (pow.f64 (*.f64 c a) #s(literal 4 binary64))) (pow.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64))) (*.f64 b b))) |
(/.f64 (*.f64 (fma.f64 #s(literal 19683 binary64) (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64)) (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) (*.f64 b b))) |
(/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64))) #s(literal 1 binary64)) (*.f64 b b)) |
(/.f64 (/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64))) b) b) |
(/.f64 (-.f64 (*.f64 #s(literal 729 binary64) (pow.f64 (*.f64 c a) #s(literal 4 binary64))) (pow.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 b b) (-.f64 (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b (/.f64 b (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64))) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (/.f64 b (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 b (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64)))))) |
(/.f64 (fma.f64 #s(literal 19683 binary64) (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 729 binary64) (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64)) (*.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64)))) (*.f64 (neg.f64 b) b)) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64))) (*.f64 b b)) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64)))) (*.f64 b b))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64))) (*.f64 (neg.f64 b) b))) |
(exp.f64 (*.f64 (log.f64 (*.f64 b (/.f64 b (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -81/4 binary64)))))) #s(literal -1 binary64))) |
Compiled 66 654 to 5 843 computations (91.2% saved)
84 alts after pruning (78 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 447 | 21 | 1 468 |
| Fresh | 15 | 57 | 72 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 464 | 84 | 1 548 |
| Status | Accuracy | Program |
|---|---|---|
| 29.4% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.5% | (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) b) (/.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1/2 binary64)) b) (neg.f64 (*.f64 (/.f64 (*.f64 b b) b) #s(literal 1 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 30.8% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a (*.f64 a a)) (neg.f64 (*.f64 (/.f64 b a) (/.f64 a a)))) #s(literal 3 binary64)) | |
| 31.1% | (/.f64 (fma.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) | |
| 30.6% | (/.f64 (fma.f64 (neg.f64 b) (pow.f64 a #s(literal -1 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) #s(literal 3 binary64)) | |
| 30.7% | (/.f64 (fma.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a a)) (neg.f64 (*.f64 (/.f64 b a) (/.f64 a a)))) #s(literal 3 binary64)) | |
| 30.9% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 a a)) #s(literal 3 binary64)) | |
| 30.3% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| 31.3% | (/.f64 (/.f64 (fma.f64 (neg.f64 b) a (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 a a)) #s(literal 3 binary64)) | |
| 29.9% | (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) a) a) #s(literal 3 binary64)) | |
| 30.5% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)))) a) #s(literal 3 binary64)) | |
| 29.1% | (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (fma.f64 (pow.f64 a #s(literal -2 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))))) #s(literal 3 binary64)) | |
| 30.4% | (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64)) | |
| 29.2% | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 b a))) (pow.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) | |
| ✓ | 29.4% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
| 29.1% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 29.4% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) | |
| ✓ | 29.9% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
| 93.5% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (*.f64 (*.f64 a a) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))))) (*.f64 a a)) #s(literal 3 binary64)) | |
| 82.8% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 a a) c) b))) (*.f64 a a)) #s(literal 3 binary64)) | |
| 93.1% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 93.1% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 a (fma.f64 a (*.f64 (/.f64 (*.f64 c c) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 b c))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 93.3% | (/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) a) #s(literal 3 binary64)) | |
| 82.8% | (/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) a) #s(literal 3 binary64)) | |
| 30.5% | (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 30.2% | (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))) (*.f64 b (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b))))) | |
| 29.2% | (/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) | |
| 30.6% | (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 a a)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a a) #s(literal 3 binary64)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) | |
| 29.9% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 29.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 29.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| 32.4% | (/.f64 (*.f64 (fma.f64 (*.f64 b b) (neg.f64 b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 30.2% | (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b) (-.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64)) (pow.f64 (*.f64 b (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b))) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) a)) | |
| 29.5% | (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 b b))))) | |
| 30.5% | (/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 30.5% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 29.9% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (*.f64 (*.f64 a a) #s(literal 3 binary64))) | |
| 29.9% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 97.5% | (/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 93.6% | (/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) | |
| 96.5% | (/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 96.5% | (/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (fma.f64 (*.f64 a c) #s(literal -9/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 b b)))))) | |
| 96.5% | (/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 (/.f64 a b) (/.f64 c b)) #s(literal -9/2 binary64) #s(literal 2 binary64)))))) | |
| 93.6% | (/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 #s(approx (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) #s(literal 27/4 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 93.5% | (/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) #s(approx (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) #s(literal 27/4 binary64))) (*.f64 #s(literal -9/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) b))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 93.5% | (/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) #s(approx (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (*.f64 (*.f64 c c) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 27/4 binary64)) (*.f64 #s(literal -9/2 binary64) (*.f64 a (/.f64 b c))))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 93.5% | (/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) #s(approx (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 (/.f64 c b) (/.f64 c b)) #s(literal 27/4 binary64)) (*.f64 #s(literal -9/2 binary64) (*.f64 b (/.f64 c a))))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 93.6% | (/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) #s(approx (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b c) (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 27/4 binary64))) (*.f64 #s(literal -9/2 binary64) (*.f64 a b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 93.6% | (/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) #s(approx (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 (*.f64 a a) #s(literal 27/4 binary64)) b)) (*.f64 #s(literal -9/2 binary64) (*.f64 a c)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 93.6% | (/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) #s(approx (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) (*.f64 (*.f64 (/.f64 c b) (/.f64 c b)) #s(literal 27/4 binary64))) (*.f64 #s(literal -9/2 binary64) (*.f64 b c)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 83.1% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) | |
| 82.8% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 93.3% | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) | |
| 93.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 93.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 29.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) | |
| 29.0% | (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) | |
| 29.4% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| 30.4% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) | |
| 29.9% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) #s(literal 3 binary64)) a))) | |
| 28.1% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(approx (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (fma.f64 c (fma.f64 #s(literal -3 binary64) a (fma.f64 #s(literal 9/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) (*.f64 #s(literal 3/2 binary64) a))) (*.f64 b b))) #s(literal 3 binary64)) a))) | |
| 29.9% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) | |
| 97.5% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) 3) a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c c) (*.f64 #s(literal 3/2 binary64) (*.f64 c (*.f64 (*.f64 a c) #s(literal -3/2 binary64)))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c c) (*.f64 #s(literal 3/2 binary64) (*.f64 c (*.f64 (*.f64 a c) #s(literal -3/2 binary64))))) (*.f64 b b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) a) (neg.f64 (fma.f64 (*.f64 #s(literal -81/32 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c c) (*.f64 #s(literal 3/2 binary64) (*.f64 c (*.f64 (*.f64 a c) #s(literal -3/2 binary64)))))) (neg.f64 (*.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c c) (*.f64 #s(literal 3/2 binary64) (*.f64 c (*.f64 (*.f64 a c) #s(literal -3/2 binary64))))))))))) (pow.f64 b #s(literal 6 binary64))))))) (pow.f64 b #s(literal 3 binary64))))) | |
| 29.9% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 29.9% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 29.9% | (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) | |
| 29.9% | (*.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1/3 binary64)) | |
| 30.4% | (*.f64 (*.f64 a (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) | |
| 29.9% | (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 3 binary64)))) | |
| ✓ | 29.9% | (*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
| 93.7% | #s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 98.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c b) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a))) | |
| 97.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a))) | |
| 96.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| ✓ | 82.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| 83.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) | |
| 96.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 93.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ✓ | 82.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| 97.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) a) (* (/ c b) -1/2)) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 b b) (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c))))))) (pow.f64 b #s(literal 7 binary64))))) | |
| 82.5% | #s(approx (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 c (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)))) (*.f64 (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) | |
| 82.7% | #s(approx (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) |
Compiled 8 253 to 2 589 computations (68.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) a) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 a a) c) b))) (*.f64 a a)) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (*.f64 a a) #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (*.f64 (*.f64 a a) #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
(*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 b) a (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) a) a) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) a) #s(literal 3 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (fma.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a a)) (neg.f64 (*.f64 (/.f64 a a) (/.f64 b a)))) #s(literal 3 binary64)) |
(/.f64 (fma.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a a)) (neg.f64 (*.f64 (/.f64 b a) (/.f64 a a)))) #s(literal 3 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a (*.f64 a a)) (neg.f64 (*.f64 (/.f64 a a) (/.f64 b a)))) #s(literal 3 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a (*.f64 a a)) (neg.f64 (*.f64 (/.f64 b a) (/.f64 a a)))) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)))) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 a (fma.f64 a (*.f64 (/.f64 (*.f64 c c) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 b c))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(approx (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (fma.f64 (*.f64 a c) #s(literal -3/2 binary64) (*.f64 b b))) #s(literal 3 binary64)) a))) |
(/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64)) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) #s(approx (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) #s(literal 27/4 binary64))) (*.f64 #s(literal -9/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) b))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 #s(approx (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) #s(literal 27/4 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1/3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 3 binary64))))) |
#s(approx (/ (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) 3) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 3 binary64))))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) #s(approx (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) (*.f64 (*.f64 (/.f64 c b) (/.f64 c b)) #s(literal 27/4 binary64))) (*.f64 #s(literal -9/2 binary64) (*.f64 b c)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) #s(approx (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 (*.f64 a a) #s(literal 27/4 binary64)) b)) (*.f64 #s(literal -9/2 binary64) (*.f64 a c)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
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(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (fma.f64 (pow.f64 a #s(literal -2 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))))) #s(literal 3 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a))))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 #s(literal -1/2 binary64) (/.f64 b c)))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/2 binary64) c (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))))))) b)) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))) (*.f64 b (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b))))) |
(/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b) (-.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) b) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64)) (pow.f64 (*.f64 b (+.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal -9 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) b))) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) 3) a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c c) (*.f64 #s(literal 3/2 binary64) (*.f64 c (*.f64 (*.f64 a c) #s(literal -3/2 binary64)))))) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c c) (*.f64 #s(literal 3/2 binary64) (*.f64 c (*.f64 (*.f64 a c) #s(literal -3/2 binary64))))) (*.f64 b b)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) a) (neg.f64 (fma.f64 (*.f64 #s(literal -81/32 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c c) (*.f64 #s(literal 3/2 binary64) (*.f64 c (*.f64 (*.f64 a c) #s(literal -3/2 binary64)))))) (neg.f64 (*.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 c c) (*.f64 #s(literal 3/2 binary64) (*.f64 c (*.f64 (*.f64 a c) #s(literal -3/2 binary64))))))))))) (pow.f64 b #s(literal 6 binary64))))))) (pow.f64 b #s(literal 3 binary64))))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))) (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64))))))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a c) #s(literal -9 binary64))))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c b) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a))) |
5 calls:
| 74.0ms | c |
| 48.0ms | a |
| 42.0ms | b |
| 41.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 39.0ms | (*.f64 #s(literal 3 binary64) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | a |
| 98.0% | 1 | b |
| 98.0% | 1 | c |
| 98.0% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 98.0% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) a) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 a a) c) b))) (*.f64 a a)) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (*.f64 a a) #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (*.f64 (*.f64 a a) #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
(*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 b) a (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) a) a) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) a) #s(literal 3 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (fma.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a a)) (neg.f64 (*.f64 (/.f64 a a) (/.f64 b a)))) #s(literal 3 binary64)) |
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(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64))) (/.f64 (/.f64 b a) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64))))) |
(/.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 (/.f64 a b) (/.f64 c b)) #s(literal -9/2 binary64) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (pow.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) (*.f64 #s(literal -3 binary64) a)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
#s(approx (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 c (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)))) (*.f64 (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 #s(approx (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (*.f64 b (*.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) a) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 a (*.f64 b b))))))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c))) b)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 c (fma.f64 c (fma.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 3/2 binary64) b))))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (*.f64 c (fma.f64 c (fma.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 3/2 binary64) b))))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a))) |
5 calls:
| 341.0ms | c |
| 30.0ms | (*.f64 #s(literal 3 binary64) a) |
| 29.0ms | a |
| 28.0ms | b |
| 27.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | a |
| 97.7% | 1 | b |
| 97.7% | 1 | c |
| 97.7% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 97.7% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) a) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 a a) c) b))) (*.f64 a a)) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (*.f64 a a) #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (*.f64 (*.f64 a a) #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
(*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 b) a (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) a) a) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) a) #s(literal 3 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (fma.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a a)) (neg.f64 (*.f64 (/.f64 a a) (/.f64 b a)))) #s(literal 3 binary64)) |
(/.f64 (fma.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a a)) (neg.f64 (*.f64 (/.f64 b a) (/.f64 a a)))) #s(literal 3 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a (*.f64 a a)) (neg.f64 (*.f64 (/.f64 a a) (/.f64 b a)))) #s(literal 3 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a (*.f64 a a)) (neg.f64 (*.f64 (/.f64 b a) (/.f64 a a)))) #s(literal 3 binary64)) |
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(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64))) (/.f64 (/.f64 b a) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64))))) |
(/.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 (/.f64 a b) (/.f64 c b)) #s(literal -9/2 binary64) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (pow.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) (*.f64 #s(literal -3 binary64) a)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
#s(approx (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 c (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)))) (*.f64 (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 #s(approx (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (*.f64 b (*.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) a) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 a (*.f64 b b))))))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c))) b)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 c (fma.f64 c (fma.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 3/2 binary64) b))))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (*.f64 c (fma.f64 c (fma.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -9/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (/.f64 #s(literal 3/2 binary64) b))))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
5 calls:
| 36.0ms | b |
| 31.0ms | (*.f64 #s(literal 3 binary64) a) |
| 29.0ms | a |
| 26.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 26.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | a |
| 96.9% | 1 | b |
| 96.9% | 1 | c |
| 96.9% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 96.9% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) a) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 a a) c) b))) (*.f64 a a)) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (*.f64 a a) #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (*.f64 (*.f64 a a) #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
(*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 b) a (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) a) a) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) a) #s(literal 3 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (fma.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a a)) (neg.f64 (*.f64 (/.f64 a a) (/.f64 b a)))) #s(literal 3 binary64)) |
(/.f64 (fma.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a a)) (neg.f64 (*.f64 (/.f64 b a) (/.f64 a a)))) #s(literal 3 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a (*.f64 a a)) (neg.f64 (*.f64 (/.f64 a a) (/.f64 b a)))) #s(literal 3 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a (*.f64 a a)) (neg.f64 (*.f64 (/.f64 b a) (/.f64 a a)))) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)))) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 a (fma.f64 a (*.f64 (/.f64 (*.f64 c c) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 b c))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
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(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64))) (/.f64 (/.f64 b a) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64))))) |
(/.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 (/.f64 a b) (/.f64 c b)) #s(literal -9/2 binary64) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (pow.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) (*.f64 #s(literal -3 binary64) a)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b)) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
#s(approx (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 c (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)))) (*.f64 (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 #s(approx (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (*.f64 b (*.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) a) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 a (*.f64 b b))))))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
5 calls:
| 44.0ms | a |
| 29.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 28.0ms | b |
| 25.0ms | c |
| 25.0ms | (*.f64 #s(literal 3 binary64) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 1 | a |
| 96.6% | 1 | b |
| 96.6% | 1 | c |
| 96.6% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 96.6% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) a) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 a a) c) b))) (*.f64 a a)) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (*.f64 a a) #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (*.f64 (*.f64 a a) #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
(*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 b) a (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) a) a) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) a) #s(literal 3 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (fma.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a a)) (neg.f64 (*.f64 (/.f64 a a) (/.f64 b a)))) #s(literal 3 binary64)) |
(/.f64 (fma.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a a)) (neg.f64 (*.f64 (/.f64 b a) (/.f64 a a)))) #s(literal 3 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a (*.f64 a a)) (neg.f64 (*.f64 (/.f64 a a) (/.f64 b a)))) #s(literal 3 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a (*.f64 a a)) (neg.f64 (*.f64 (/.f64 b a) (/.f64 a a)))) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)))) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 a (fma.f64 a (*.f64 (/.f64 (*.f64 c c) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 b c))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(approx (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (fma.f64 (*.f64 a c) #s(literal -3/2 binary64) (*.f64 b b))) #s(literal 3 binary64)) a))) |
(/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64)) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) #s(approx (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) #s(literal 27/4 binary64))) (*.f64 #s(literal -9/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) b))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 #s(approx (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) #s(literal 27/4 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1/3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
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(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 #s(approx (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (*.f64 b (*.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) a) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 a (*.f64 b b))))))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b)) a) #s(literal 3 binary64)) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 (/.f64 a b) (/.f64 c b)) #s(literal -9/2 binary64) #s(literal 2 binary64)))))) |
5 calls:
| 28.0ms | b |
| 28.0ms | c |
| 26.0ms | a |
| 26.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 26.0ms | (*.f64 #s(literal 3 binary64) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 1 | a |
| 96.5% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 96.5% | 1 | b |
| 96.5% | 1 | c |
| 96.5% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) a) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 a a) c) b))) (*.f64 a a)) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (*.f64 a a) #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (*.f64 (*.f64 a a) #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
(*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (fma.f64 (neg.f64 b) a (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 (neg.f64 a) b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) a) a) #s(literal 3 binary64)) |
(-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (/.f64 (/.f64 b a) #s(literal 3 binary64))) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 c c) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) a) #s(literal 3 binary64)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (fma.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a a)) (neg.f64 (*.f64 (/.f64 a a) (/.f64 b a)))) #s(literal 3 binary64)) |
(/.f64 (fma.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a a)) (neg.f64 (*.f64 (/.f64 b a) (/.f64 a a)))) #s(literal 3 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a (*.f64 a a)) (neg.f64 (*.f64 (/.f64 a a) (/.f64 b a)))) #s(literal 3 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 a (*.f64 a a)) (neg.f64 (*.f64 (/.f64 b a) (/.f64 a a)))) #s(literal 3 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)))) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 a (fma.f64 a (*.f64 (/.f64 (*.f64 c c) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 b c))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 c (fma.f64 c (*.f64 (/.f64 (*.f64 a a) b) #s(literal -27/8 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 a b))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(approx (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (fma.f64 (*.f64 a c) #s(literal -3/2 binary64) (*.f64 b b))) #s(literal 3 binary64)) a))) |
(/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) a) #s(literal 3 binary64)) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) #s(approx (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) #s(literal 27/4 binary64))) (*.f64 #s(literal -9/2 binary64) (*.f64 a (*.f64 (*.f64 b b) c)))) b))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 #s(approx (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) #s(literal 27/4 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1/3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 3 binary64))))) |
#s(approx (/ (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) 3) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 3 binary64))))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) #s(approx (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a b) (*.f64 (*.f64 (/.f64 c b) (/.f64 c b)) #s(literal 27/4 binary64))) (*.f64 #s(literal -9/2 binary64) (*.f64 b c)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) #s(approx (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (*.f64 b (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 (*.f64 a a) #s(literal 27/4 binary64)) b)) (*.f64 #s(literal -9/2 binary64) (*.f64 a c)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) #s(approx (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b c) (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 27/4 binary64))) (*.f64 #s(literal -9/2 binary64) (*.f64 a b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (/.f64 (fma.f64 #s(literal -9/2 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) (-.f64 (fma.f64 #s(literal 9/4 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) (*.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (*.f64 b b))))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64)) a)) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) #s(approx (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (*.f64 (*.f64 a a) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 (/.f64 c b) (/.f64 c b)) #s(literal 27/4 binary64)) (*.f64 #s(literal -9/2 binary64) (*.f64 b (/.f64 c a))))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) #s(approx (* b (* 1/2 (+ (* (* a c) -9) (/ (+ (* (* (* a a) (* c c)) 27) (* -1/4 (pow (* (* a c) -9) 2))) (* b b))))) (*.f64 (*.f64 c c) (fma.f64 (*.f64 #s(literal 1/2 binary64) b) (*.f64 (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 27/4 binary64)) (*.f64 #s(literal -9/2 binary64) (*.f64 a (/.f64 b c))))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) |
(/.f64 (fma.f64 (neg.f64 b) (pow.f64 a #s(literal -1 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a)) #s(literal 3 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) |
(/.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) (*.f64 (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64)) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(approx (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (fma.f64 c (fma.f64 #s(literal -3 binary64) a (fma.f64 #s(literal 9/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (*.f64 b b))) (*.f64 #s(literal 3/2 binary64) a))) (*.f64 b b))) #s(literal 3 binary64)) a))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (fma.f64 b b (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b)))) #s(literal 3 binary64)) a))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 a (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))))) (pow.f64 a #s(literal -1 binary64)) (neg.f64 (/.f64 b a))) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 a (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))))) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))))) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (*.f64 (*.f64 a a) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))))) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 b a))) (pow.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 a a)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a a) #s(literal 3 binary64)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (neg.f64 b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 (*.f64 a (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (fma.f64 (*.f64 a c) #s(literal -9/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 b b)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) |
(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64))) (/.f64 (/.f64 b a) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3 binary64))))) |
(/.f64 (pow.f64 a #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal 3 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (fma.f64 (*.f64 a c) #s(literal -9/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 b b)))))) |
5 calls:
| 30.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 27.0ms | a |
| 26.0ms | (*.f64 #s(literal 3 binary64) a) |
| 25.0ms | b |
| 23.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 1 | a |
| 96.5% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 96.5% | 1 | b |
| 96.5% | 1 | c |
| 96.5% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) a) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (*.f64 a a) c) b))) (*.f64 a a)) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (*.f64 a a) #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) (*.f64 (*.f64 a a) #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) c)) b)) #s(literal 3 binary64)) |
(*.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 b a)) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a))) a) (*.f64 a b)) (*.f64 a a)) #s(literal 3 binary64)) |
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(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 a a)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a a) #s(literal 3 binary64)) (*.f64 a (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (neg.f64 b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 (*.f64 a (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
5 calls:
| 27.0ms | b |
| 25.0ms | (*.f64 #s(literal 3 binary64) a) |
| 23.0ms | a |
| 23.0ms | c |
| 20.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.7% | 1 | a |
| 93.7% | 1 | c |
| 93.7% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 93.7% | 1 | b |
| 93.7% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) a) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
5 calls:
| 9.0ms | c |
| 9.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 5.0ms | b |
| 5.0ms | (*.f64 #s(literal 3 binary64) a) |
| 5.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.1% | 1 | b |
| 84.9% | 2 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 83.1% | 1 | a |
| 83.1% | 1 | c |
| 83.1% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) a) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 4.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.9% | 2 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) a) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
| Outputs |
|---|
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 4.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.9% | 2 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) a) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 6.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.9% | 2 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) a) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 4.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.9% | 2 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* (* -3 c) a) (* b b))) a) (* a b)) (* a a)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (* (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (/ 1/3 a)) (+ (* b b) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))))) (*.f64 (/.f64 #s(literal 1/18 binary64) a) (/.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (pow (* c a) 2)) (pow b 4))) b) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* (sqrt (+ (* c (* a 3)) (* b b))) b)) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) a) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
3 calls:
| 3.0ms | (*.f64 #s(literal 3 binary64) a) |
| 3.0ms | a |
| 3.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.1% | 1 | a |
| 83.1% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 83.1% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 21 to 20 computations (4.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
5 calls:
| 4.0ms | c |
| 1.0ms | (*.f64 #s(literal 3 binary64) a) |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 1.0ms | b |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 1 | c |
| 82.9% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 82.9% | 1 | b |
| 82.9% | 1 | a |
| 82.9% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -160.62450848297723 | -157.11008726310575 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -160.62450848297723 | -157.11008726310575 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -160.62450848297723 | -157.11008726310575 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -160.62450848297723 | -157.11008726310575 |
Compiled 20 to 18 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -160.62450848297723 | -157.11008726310575 |
Compiled 20 to 18 computations (10% saved)
| 1× | egg-herbie |
| 88× | *-commutative-binary64-*.f64 |
| 28× | +-commutative-binary64-+.f64 |
| 24× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 18× | neg-sub0-binary64--.f64-neg.f64 |
| 18× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 174 | 899 |
| 1 | 223 | 893 |
| 2 | 251 | 893 |
| 3 | 268 | 893 |
| 4 | 281 | 893 |
| 5 | 286 | 893 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c b) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 (/.f64 a b) (/.f64 c b)) #s(literal -9/2 binary64) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (fma.f64 (*.f64 a c) #s(literal -9/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 b b)))))) |
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -160 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -160 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -160 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -160 binary64)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -160 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c b) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 c b) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 a a) (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))))) (pow.f64 b #s(literal -7 binary64)))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a))))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (fma.f64 #s(approx (+ (* (* -9/16 a) (pow c 3)) (* (* -3/8 (* b b)) (* c c))) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) (*.f64 b b) (*.f64 (*.f64 a a) (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))))) (pow.f64 b #s(literal -7 binary64)))) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* (pow c 3) -9/16) (pow b 5))) a) (/ (* (* c c) -3/8) (pow b 3))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 c a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) c) (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) a) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 (/.f64 a b) (/.f64 c b)) #s(literal -9/2 binary64) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 a a)) #s(literal 27 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -9 binary64) (*.f64 c a)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 b b))) #s(literal 1/2 binary64)) b))) (fma.f64 b b #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (*.f64 (fma.f64 (*.f64 (/.f64 a b) (/.f64 c b)) #s(literal -9/2 binary64) #s(literal 2 binary64)) (*.f64 b b))))) |
(/.f64 (*.f64 #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 b (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a c) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 c c)) #s(literal 27 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 a c) #s(literal -9 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))))) (/.f64 #s(literal 1/3 binary64) a)) (fma.f64 b b #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (fma.f64 (*.f64 a c) #s(literal -9/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 b b)))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (pow (+ (* (* -3 c) a) (* b b)) 3/2) (pow b 3)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 a a)) #s(literal 27 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -9 binary64) (*.f64 c a)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 b b))) #s(literal 1/2 binary64)) b))) (fma.f64 b b #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) b) (+ (* (* -3 c) a) (* b b))) (fma.f64 (*.f64 c a) #s(literal -9/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 b b)))))) |
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -160 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c))) b) (*.f64 a #s(literal 3 binary64))) #s(literal -160 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) b) (*.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -160 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c))) b) (*.f64 a #s(literal 3 binary64))) #s(literal -160 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -160 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c))) b) (*.f64 a #s(literal 3 binary64))) #s(literal -160 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -160 binary64)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c))) b) (*.f64 a #s(literal 3 binary64))) #s(literal -160 binary64)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -160 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c))) b) (*.f64 a #s(literal 3 binary64))) #s(literal -160 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1/3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
| 11 360× | lower-fma.f64 |
| 11 360× | lower-fma.f32 |
| 7 136× | lower-*.f64 |
| 7 136× | lower-*.f32 |
| 6 970× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2303 | 28047 |
| 1 | 6769 | 27956 |
| 0 | 8127 | 26767 |
| 0 | 12 | 46 |
| 0 | 20 | 46 |
| 1 | 71 | 44 |
| 2 | 525 | 43 |
| 3 | 6836 | 43 |
| 0 | 8125 | 40 |
| 0 | 2237 | 26039 |
| 1 | 6463 | 25858 |
| 0 | 8087 | 24839 |
| 0 | 2844 | 29313 |
| 1 | 7976 | 29254 |
| 0 | 8128 | 28085 |
| 0 | 112 | 767 |
| 0 | 167 | 771 |
| 1 | 666 | 716 |
| 2 | 5326 | 716 |
| 0 | 8204 | 707 |
| 0 | 74 | 520 |
| 0 | 129 | 516 |
| 1 | 503 | 498 |
| 2 | 4092 | 490 |
| 0 | 8454 | 490 |
| 0 | 470 | 2458 |
| 1 | 1445 | 2441 |
| 2 | 4890 | 2418 |
| 0 | 8056 | 2302 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 817 to 390 computations (52.3% saved)
Compiled 976 to 274 computations (71.9% saved)
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