
Time bar (total: 10.9s)
| 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 | 6 719× | 1 | valid |
| 166.0ms | 1 537× | 0 | valid |
| 122.0ms | 1 104× | 0 | invalid |
const: 405.0ms (27.4% of total)ival-mult: 227.0ms (15.3% of total)adjust: 187.0ms (12.6% of total)ival-<: 147.0ms (9.9% of total)ival-div: 127.0ms (8.6% of total)ival-sqrt: 120.0ms (8.1% of total)ival-sub: 86.0ms (5.8% of total)ival-add: 80.0ms (5.4% of total)ival-neg: 56.0ms (3.8% of total)ival-and: 33.0ms (2.2% of total)exact: 10.0ms (0.7% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 251 | 0 | - | 0 | - | (+.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 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 251 | 0 |
| - | 0 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 251 | 0 | 0 |
| - | 0 | 1 | 4 |
| number | freq |
|---|---|
| 0 | 5 |
| 1 | 251 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 67.0ms | 432× | 1 | valid |
| 7.0ms | 80× | 0 | valid |
Compiled 153 to 40 computations (73.9% saved)
ival-mult: 13.0ms (27% of total)adjust: 9.0ms (18.7% of total)ival-div: 7.0ms (14.6% of total)ival-sqrt: 7.0ms (14.6% of total)ival-add: 5.0ms (10.4% of total)ival-sub: 5.0ms (10.4% of total)ival-neg: 2.0ms (4.2% of total)ival-true: 1.0ms (2.1% of total)ival-assert: 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 |
|---|---|---|
| ▶ | 15.4% | (/.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 | 0.05859375 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| accuracy | 0.3203125 | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | |
| accuracy | 0.3873825195368841 | (/.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 | 54.100376429559454 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 36.0ms | 216× | 1 | valid |
| 3.0ms | 40× | 0 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-mult: 6.0ms (25.1% of total)adjust: 5.0ms (20.9% of total)ival-div: 3.0ms (12.6% of total)ival-sqrt: 3.0ms (12.6% of total)ival-add: 2.0ms (8.4% of total)ival-sub: 2.0ms (8.4% of total)ival-neg: 1.0ms (4.2% 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 | |
|---|---|---|---|---|
| 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)) |
| 2.0ms | a | @ | 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 |
|---|
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Compiled 17 052 to 1 916 computations (88.8% saved)
23 alts after pruning (23 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 531 | 23 | 554 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 532 | 23 | 555 |
| Status | Accuracy | Program |
|---|---|---|
| 15.8% | (/.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)) | |
| 15.3% | (/.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)) | |
| 15.4% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| ▶ | 15.4% | (/.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)) |
| 15.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| 15.4% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) | |
| ▶ | 95.7% | (/.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 (*.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)) | |
| 95.7% | (/.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)) | |
| 91.6% | (/.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)) | |
| 15.4% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 15.4% | (/.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)) | |
| 15.2% | (-.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)))) | |
| 15.4% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| ▶ | 98.6% | #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)))) |
| 96.3% | #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)))) | |
| 97.8% | #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)) | |
| 96.3% | #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)) | |
| 98.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)) | |
| 98.2% | #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)) | |
| ▶ | 97.5% | #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)) |
| 96.0% | #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)) | |
| ▶ | 92.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
Compiled 1 114 to 808 computations (27.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 320 | (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))) | |
| cost-diff | 0 | (/.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) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 0 | (/.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)) | |
| cost-diff | 640 | (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))) | |
| cost-diff | 0 | (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) | |
| 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)))) |
| 10 758× | lower-fma.f32 |
| 10 744× | lower-fma.f64 |
| 5 090× | lower-*.f32 |
| 5 056× | lower-*.f64 |
| 3 288× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 651 |
| 0 | 124 | 651 |
| 1 | 212 | 639 |
| 2 | 466 | 631 |
| 3 | 1278 | 617 |
| 4 | 2951 | 607 |
| 5 | 4057 | 607 |
| 6 | 4620 | 607 |
| 7 | 5419 | 607 |
| 0 | 8132 | 593 |
| 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 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(*.f64 #s(literal 3 binary64) 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)) |
#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 (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) |
(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))) |
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) |
(*.f64 (*.f64 a a) #s(literal -9/8 binary64)) |
(*.f64 a a) |
a |
#s(literal -9/8 binary64) |
b |
(/.f64 (*.f64 c c) b) |
(*.f64 c c) |
c |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(*.f64 c a) |
#s(literal -3/2 binary64) |
(*.f64 #s(literal 3 binary64) 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)) |
(*.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) |
(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)) |
(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))) |
(*.f64 c #s(literal -9/16 binary64)) |
c |
#s(literal -9/16 binary64) |
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) |
a |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -3/8 binary64) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
| 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 (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) c (/.f64 #s(literal -1/2 binary64) b)) c (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 7 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 (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) c (/.f64 #s(literal -1/2 binary64) b)) c (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 7 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 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 7 binary64))) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.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 #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) (*.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 c (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/8 binary64) 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 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
(fma.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 |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (fma.f64 (*.f64 #s(literal -9/8 binary64) (/.f64 (/.f64 c b) b)) a #s(literal -3/2 binary64))) (/.f64 c b))) (*.f64 a #s(literal 3 binary64))) |
#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)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (fma.f64 (*.f64 #s(literal -9/8 binary64) (/.f64 (/.f64 c b) b)) a #s(literal -3/2 binary64))) (/.f64 c b))) |
(/.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 (*.f64 a (fma.f64 (*.f64 #s(literal -9/8 binary64) (/.f64 (/.f64 c b) b)) a #s(literal -3/2 binary64))) (/.f64 c b)) |
(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))) |
(*.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 a b) #s(literal -9/8 binary64)) (/.f64 c b) #s(literal -3/2 binary64))) |
(/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) b) |
(/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) b) |
(*.f64 (*.f64 a a) #s(literal -9/8 binary64)) |
(*.f64 #s(literal -9/8 binary64) (*.f64 a a)) |
(*.f64 a a) |
a |
#s(literal -9/8 binary64) |
b |
(/.f64 (*.f64 c c) b) |
(*.f64 (/.f64 c b) c) |
(*.f64 c c) |
c |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(*.f64 #s(literal -3/2 binary64) (*.f64 c a)) |
(*.f64 c a) |
#s(literal -3/2 binary64) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#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)) (*.f64 (fma.f64 (*.f64 (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) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.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 (fma.f64 (*.f64 (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) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(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)) |
(fma.f64 (*.f64 (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) c (/.f64 #s(literal -1/2 binary64) b)) |
(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))) |
(*.f64 (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 c #s(literal -9/16 binary64)) |
(*.f64 #s(literal -9/16 binary64) c) |
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 5 binary64))) a) |
a |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -3/8 binary64) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.26171875 | (*.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) | |
| accuracy | 0.27734375 | (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) | |
| accuracy | 0.28125 | (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) | |
| accuracy | 1.3249314772361078 | #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)) | |
| accuracy | 0.2578125 | (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) | |
| accuracy | 0.3125 | (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) | |
| accuracy | 0.3873825195368841 | (/.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)) | |
| accuracy | 2.3111780685400976 | #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)) | |
| accuracy | 0.0078125 | (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) | |
| accuracy | 0.3203125 | (*.f64 (*.f64 #s(literal -3 binary64) a) c) | |
| accuracy | 0.3873825195368841 | (/.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)) | |
| accuracy | 54.100376429559454 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) | |
| accuracy | 0 | (/.f64 c b) | |
| accuracy | 0 | (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) | |
| accuracy | 5.067652899588147 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| accuracy | 0.3203125 | (*.f64 #s(literal -1/6 binary64) a) | |
| accuracy | 0.3756637695368841 | (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) | |
| accuracy | 0.42025375976844204 | (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) | |
| accuracy | 0.8808868809135877 | #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)))) |
| 433.0ms | 216× | 1 | valid |
| 19.0ms | 40× | 0 | valid |
Compiled 553 to 73 computations (86.8% saved)
ival-mult: 109.0ms (47% of total)ival-add: 34.0ms (14.7% of total)ival-div: 33.0ms (14.2% of total)adjust: 21.0ms (9% of total)ival-pow: 18.0ms (7.8% of total)ival-sqrt: 7.0ms (3% of total)const: 4.0ms (1.7% of total)ival-sub: 2.0ms (0.9% of total)exact: 1.0ms (0.4% 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 (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 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) (patch (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) #<representation binary64>) () ()) |
#s(alt (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) (patch (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) #<representation binary64>) () ()) |
#s(alt (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))) (patch (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))) #<representation binary64>) () ()) |
#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ()) |
#s(alt #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)) (patch #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)) #<representation binary64>) () ()) |
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ()) |
#s(alt (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))) (patch (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))) #<representation binary64>) () ()) |
#s(alt #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)) (patch #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)) #<representation binary64>) () ()) |
#s(alt (*.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) (patch (*.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) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) (patch (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 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 (/.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)) (patch (/.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)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -3 binary64) a) c) (patch (*.f64 (*.f64 #s(literal -3 binary64) a) c) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (patch (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (patch (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (patch (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) #<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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#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 (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#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 (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#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 (* 405/64 (/ (pow c 4) (pow b 7))) (taylor 0 c) (#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 (* -9/16 (/ (pow c 3) (pow b 5))) (taylor 0 c) (#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 (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 c) (#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 (* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) (taylor 0 c) (#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>) () ())) ()) |
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#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) (taylor -inf a) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) (taylor -inf a) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 a) (taylor -inf a) (#s(alt (*.f64 #s(literal -1/6 binary64) a) (patch (*.f64 #s(literal -1/6 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 a) (taylor -inf a) (#s(alt (*.f64 #s(literal -1/6 binary64) a) (patch (*.f64 #s(literal -1/6 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 a) (taylor -inf a) (#s(alt (*.f64 #s(literal -1/6 binary64) a) (patch (*.f64 #s(literal -1/6 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 a) (taylor -inf a) (#s(alt (*.f64 #s(literal -1/6 binary64) a) (patch (*.f64 #s(literal -1/6 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (/.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)) (patch (/.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)) #<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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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>) () ())) ()) |
#s(alt (* -3/2 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (patch (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (patch (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (patch (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (* a c)) (taylor -inf a) (#s(alt (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) (patch (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -9/8 (pow a 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (patch (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -9/8 (pow a 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (patch (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -9/8 (pow a 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (patch (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -9/8 (pow a 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (patch (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 3))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 3))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 3))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ a (pow b 3))) (taylor -inf a) (#s(alt (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) (patch (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow a 2) (pow b 5)) (taylor -inf a) (#s(alt (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (patch (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow a 2) (pow b 5)) (taylor -inf a) (#s(alt (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (patch (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow a 2) (pow b 5)) (taylor -inf a) (#s(alt (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (patch (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow a 2) (pow b 5)) (taylor -inf a) (#s(alt (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (patch (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | 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) (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (neg b) (sqrt (+ (* b b) (* (* -3 a) c))) (+ (* b b) (* (* -3 a) c)) (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ (* (* c c) -3/8) (pow b 3)) (/ (pow c 4) (pow b 6)) (* -1/6 a) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (* 3 a)) (* (* -3 a) c) (* (* c a) -3/2) (* (* a a) -9/8) (* (/ a (pow b 3)) -3/8) (* a (/ a (pow b 5)))) |
| 13.0ms | b | @ | 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) (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (neg b) (sqrt (+ (* b b) (* (* -3 a) c))) (+ (* b b) (* (* -3 a) c)) (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ (* (* c c) -3/8) (pow b 3)) (/ (pow c 4) (pow b 6)) (* -1/6 a) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (* 3 a)) (* (* -3 a) c) (* (* c a) -3/2) (* (* a a) -9/8) (* (/ a (pow b 3)) -3/8) (* a (/ a (pow b 5)))) |
| 11.0ms | c | @ | 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) (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (neg b) (sqrt (+ (* b b) (* (* -3 a) c))) (+ (* b b) (* (* -3 a) c)) (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ (* (* c c) -3/8) (pow b 3)) (/ (pow c 4) (pow b 6)) (* -1/6 a) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (* 3 a)) (* (* -3 a) c) (* (* c a) -3/2) (* (* a a) -9/8) (* (/ a (pow b 3)) -3/8) (* a (/ a (pow b 5)))) |
| 8.0ms | 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) (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (neg b) (sqrt (+ (* b b) (* (* -3 a) c))) (+ (* b b) (* (* -3 a) c)) (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ (* (* c c) -3/8) (pow b 3)) (/ (pow c 4) (pow b 6)) (* -1/6 a) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (* 3 a)) (* (* -3 a) c) (* (* c a) -3/2) (* (* a a) -9/8) (* (/ a (pow b 3)) -3/8) (* a (/ a (pow b 5)))) |
| 8.0ms | 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) (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (neg b) (sqrt (+ (* b b) (* (* -3 a) c))) (+ (* b b) (* (* -3 a) c)) (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) b) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ (* (* c c) -3/8) (pow b 3)) (/ (pow c 4) (pow b 6)) (* -1/6 a) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (* 3 a)) (* (* -3 a) c) (* (* c a) -3/2) (* (* a a) -9/8) (* (/ a (pow b 3)) -3/8) (* a (/ a (pow b 5)))) |
| 1× | egg-herbie |
| 12 658× | lower-fma.f64 |
| 12 658× | lower-fma.f32 |
| 9 406× | lower-*.f64 |
| 9 406× | lower-*.f32 |
| 3 776× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 885 | 14987 |
| 1 | 2753 | 14887 |
| 0 | 8586 | 14263 |
| 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) |
(* -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 b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3/2 (* a c)) |
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))) |
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))) |
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) 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)))) |
(* -3/2 (/ (* 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)))))))) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* -3/8 (/ a (pow b 3))) |
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3)))) |
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3)))) |
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (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)) |
(* 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 (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(* -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)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a 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))) (* -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) |
(* (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)))))) |
(* -3 (* a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (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))))))) |
(* (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))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 5))) |
(* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) 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))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(* 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)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a 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)))) |
(* 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 (* (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)))))))) |
(* -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)))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (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))))))) |
(* -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)))))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 5))) |
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -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))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(* -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)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -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) |
(* (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))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* (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)) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (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 (* (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 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))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(* -9/16 (/ (* (pow a 2) c) (pow b 5))) |
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 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))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -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 5)) |
(/ (+ (* -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 5)) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(* 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))))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 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) |
(* -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) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 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))))) |
(* -3/2 (* a c)) |
(+ (* -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)) (* -9/8 (/ (* (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) |
(* -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) |
(* -3/2 (/ (* a c) b)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(* -3/8 (/ a (pow b 3))) |
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3)) |
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3)) |
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (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) (* -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))))) b) |
(/ -1/2 b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(* -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) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(* -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 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 b) |
(* -1 b) |
(* -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))))) |
(* -3/2 (* a c)) |
(+ (* -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)) (* -9/8 (/ (* (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))))))) |
(* -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)))))))) |
(* -3/2 (/ (* a c) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)) |
(* -3/8 (/ a (pow b 3))) |
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (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 (/ (+ (* 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))))) b)) |
(/ -1/2 b) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(/ (pow c 4) (pow b 6)) |
(* -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))))))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (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)))))) |
(* -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))))))) |
(* -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 b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -3/2 (* a c)) |
(* a (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* a (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* a (+ (* -3/2 c) (* -9/8 (/ (* a (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))))))) |
(* -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)))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* -3/8 (/ a (pow b 3))) |
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (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))))))) |
(* -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 (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -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)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -9/8 (pow a 2)) |
(* -9/8 (pow a 2)) |
(* -9/8 (pow a 2)) |
(* -9/8 (pow a 2)) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(* -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)))))) |
(* (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)))))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (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)))))) |
(* (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))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 5))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (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)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 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)))))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -9/8 (pow a 2)) |
(* -9/8 (pow a 2)) |
(* -9/8 (pow a 2)) |
(* -9/8 (pow a 2)) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(* -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 (* (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)))))))) |
(* -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)))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (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))))) |
(* -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)))))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 5))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 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))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 a) |
(* -1/6 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))))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -3/2 (* a c)) |
(* -9/8 (pow a 2)) |
(* -9/8 (pow a 2)) |
(* -9/8 (pow a 2)) |
(* -9/8 (pow a 2)) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(* -3/8 (/ a (pow b 3))) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
| Outputs |
|---|
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c)) |
(* (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 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64))) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c)) |
(* (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 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -135/128 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64))) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c)) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) a) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (pow.f64 c #s(literal 3 binary64))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) a) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (pow.f64 c #s(literal 3 binary64))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) a) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (pow.f64 c #s(literal 3 binary64))) |
(* -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 c (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.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 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (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) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (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) |
(* -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 c (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.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 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (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) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (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) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) a) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* 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 #s(literal -27/16 binary64) (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)))) 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 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) b) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a 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 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (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)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c 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)) |
(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)) |
(* -3/2 (* a c)) |
(*.f64 #s(literal -3/2 binary64) (*.f64 a c)) |
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a c) c) b) (*.f64 #s(literal -3/2 binary64) c)) a) |
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a c) c) b) (*.f64 #s(literal -3/2 binary64) c)) a) |
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a c) c) b) (*.f64 #s(literal -3/2 binary64) c)) a) |
(* -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 c (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.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 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 c (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) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (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) |
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) a) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
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(* -1 b) |
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(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
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(neg.f64 b) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
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(* -3 (* a c)) |
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(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
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(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 2)) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
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(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(*.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 (*.f64 a c) c) (pow.f64 b #s(literal 3 binary64)))) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
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(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
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(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 5)) |
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(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 5)) |
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(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 5)) |
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(* 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)))) |
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(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
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(+ (* 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))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 b #s(literal -3 binary64)) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64))) b (/.f64 #s(literal -1/3 binary64) a)) b)) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 b c) b) a) c) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64))) |
(/ (+ (* -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 5)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 b c) b) #s(literal -1/2 binary64))) b) b (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64))) |
(/ (+ (* -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 5)) |
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(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64)))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal -3/8 binary64)) c (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
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(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
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(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(/ (pow c 4) (pow b 6)) |
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(/ (pow c 4) (pow b 6)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(/ (pow c 4) (pow b 6)) |
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(/ (pow c 4) (pow b 6)) |
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(* 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)))) |
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(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
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(+ (* 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))))) |
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(* -3/8 (/ a (pow b 3))) |
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(* -3/8 (/ a (pow b 3))) |
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(* -3/8 (/ a (pow b 3))) |
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(/ (pow a 2) (pow b 5)) |
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(/ (pow a 2) (pow b 5)) |
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(/ (pow a 2) (pow b 5)) |
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(/ (pow a 2) (pow b 5)) |
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(* -3/8 (/ (pow c 2) (pow b 3))) |
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(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
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(/ (+ (* -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)) |
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(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (*.f64 a a)) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64)))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (neg.f64 a))) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (neg.f64 a))) (*.f64 a a)) |
(* -1/6 a) |
(*.f64 #s(literal -1/6 binary64) a) |
(* -1/6 a) |
(*.f64 #s(literal -1/6 binary64) a) |
(* -1/6 a) |
(*.f64 #s(literal -1/6 binary64) a) |
(* -1/6 a) |
(*.f64 #s(literal -1/6 binary64) a) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.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 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 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))))) |
(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 a c))) (*.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 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.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 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3/2 (* a c)) |
(*.f64 #s(literal -3/2 binary64) (*.f64 a c)) |
(* -3/2 (* a c)) |
(*.f64 #s(literal -3/2 binary64) (*.f64 a c)) |
(* -3/2 (* a c)) |
(*.f64 #s(literal -3/2 binary64) (*.f64 a c)) |
(* -3/2 (* a c)) |
(*.f64 #s(literal -3/2 binary64) (*.f64 a c)) |
(* -9/8 (pow a 2)) |
(*.f64 #s(literal -9/8 binary64) (*.f64 a a)) |
(* -9/8 (pow a 2)) |
(*.f64 #s(literal -9/8 binary64) (*.f64 a a)) |
(* -9/8 (pow a 2)) |
(*.f64 #s(literal -9/8 binary64) (*.f64 a a)) |
(* -9/8 (pow a 2)) |
(*.f64 #s(literal -9/8 binary64) (*.f64 a a)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) |
(* -3/8 (/ a (pow b 3))) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) |
(/ (pow a 2) (pow b 5)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow a 2) (pow b 5)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow a 2) (pow b 5)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow a 2) (pow b 5)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
| 6 910× | lower-*.f32 |
| 6 876× | lower-*.f64 |
| 5 218× | lower-fma.f32 |
| 5 204× | lower-fma.f64 |
| 3 766× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 475 |
| 0 | 124 | 475 |
| 1 | 445 | 455 |
| 2 | 3521 | 451 |
| 0 | 10623 | 447 |
| 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 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
(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))) |
(/.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)) |
#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 (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) |
(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))) |
#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 (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) |
(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)) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(*.f64 #s(literal -1/6 binary64) a) |
(/.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)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(*.f64 (*.f64 a a) #s(literal -9/8 binary64)) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) |
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) |
| Outputs |
|---|
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Compiled 78 006 to 6 552 computations (91.6% saved)
40 alts after pruning (39 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 923 | 32 | 1 955 |
| Fresh | 11 | 7 | 18 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 938 | 40 | 1 978 |
| Status | Accuracy | Program |
|---|---|---|
| 17.2% | (/.f64 (fma.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)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 17.0% | (/.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))))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 17.1% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 16.6% | (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 15.8% | (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) | |
| 15.3% | (/.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)) | |
| 15.6% | (/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 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 (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 15.8% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) | |
| 15.4% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| ▶ | 15.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
| 11.5% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 15.8% | (/.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))))) | |
| 15.4% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 95.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 95.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a c) c) b) (*.f64 #s(literal -3/2 binary64) c)) a) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 95.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) a) #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) c) c) #s(literal -9/8 binary64))) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 95.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) |
| 91.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 91.6% | (/.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)) | |
| 15.2% | (-.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)))) | |
| 15.8% | (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) | |
| 15.4% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 98.2% | #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)))) | |
| 94.0% | #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 (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))) | |
| ▶ | 98.6% | #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 97.9% | #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 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 c (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 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 96.3% | #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)) | |
| 98.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 a c) c) b) (/.f64 #s(literal -3/8 binary64) b) (*.f64 #s(literal -1/2 binary64) c)))) b)) | |
| 91.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| 98.2% | #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) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (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)) | |
| 96.0% | #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)) | |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) a) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 92.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| 97.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c)) | |
| 95.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)) | |
| ▶ | 91.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| ▶ | 97.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) c)) |
| 97.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c))) c)) | |
| 97.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 b c) b) #s(literal -1/2 binary64))) b) b (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64))))) | |
| 97.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (*.f64 a a)))) |
Compiled 2 156 to 1 485 computations (31.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) c)) | |
| cost-diff | 320 | (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) | |
| cost-diff | 1344 | (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c)) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 320 | (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a)) | |
| cost-diff | 0 | (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| cost-diff | 6464 | (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) |
| 5 354× | lower-*.f32 |
| 5 316× | lower-*.f64 |
| 4 622× | lower-fma.f32 |
| 4 608× | lower-fma.f64 |
| 2 838× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 1154 |
| 0 | 173 | 1154 |
| 1 | 313 | 1142 |
| 2 | 687 | 1116 |
| 3 | 1751 | 1097 |
| 4 | 2954 | 1073 |
| 5 | 4186 | 1073 |
| 6 | 5136 | 1055 |
| 7 | 5949 | 1055 |
| 0 | 8044 | 1010 |
| 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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) |
(fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) |
(*.f64 (*.f64 (*.f64 b c) c) b) |
(*.f64 (*.f64 b c) c) |
(*.f64 b c) |
b |
c |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
a |
#s(literal -9/16 binary64) |
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) |
(*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) |
#s(literal -135/128 binary64) |
(pow.f64 c #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 a a) |
(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(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
c |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 c a) |
c |
a |
#s(literal -3 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) b)) |
(/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) b) |
#s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) |
(*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a)) |
(fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) |
(/.f64 #s(literal -9/8 binary64) b) |
#s(literal -9/8 binary64) |
b |
(/.f64 (*.f64 c c) b) |
(*.f64 c c) |
c |
(*.f64 (/.f64 c a) #s(literal -3/2 binary64)) |
(/.f64 c a) |
a |
#s(literal -3/2 binary64) |
(*.f64 a a) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c)) |
(fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 a a) |
a |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
#s(literal -9/16 binary64) |
(fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c))) |
(/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
c |
#s(literal -3/8 binary64) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 b c) c) |
(*.f64 b c) |
(*.f64 c c) |
| 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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 #s(literal -3/8 binary64) (*.f64 b b))) (*.f64 c c)) 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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 #s(literal -3/8 binary64) (*.f64 b b))) (*.f64 c c)) 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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 #s(literal -3/8 binary64) (*.f64 b b))) (*.f64 c c)) 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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 #s(literal -3/8 binary64) (*.f64 b b))) (*.f64 c c)) 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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 #s(literal -3/8 binary64) (*.f64 b b))) (*.f64 c c)) b) b (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 #s(literal -3/8 binary64) (*.f64 b b))) (*.f64 c c)) b) |
(fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) c (*.f64 #s(literal -3/8 binary64) (*.f64 b b))) (*.f64 c c)) |
(*.f64 (*.f64 (*.f64 b c) c) b) |
(*.f64 (*.f64 (*.f64 c b) c) b) |
(*.f64 (*.f64 b c) c) |
(*.f64 (*.f64 c b) c) |
(*.f64 b c) |
(*.f64 c b) |
b |
c |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
a |
#s(literal -9/16 binary64) |
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) |
(*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a)) |
(*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) |
#s(literal -135/128 binary64) |
(pow.f64 c #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 a a) |
(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(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
c |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
(-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))) |
(fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(*.f64 c a) |
c |
a |
#s(literal -3 binary64) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c (fma.f64 (*.f64 (/.f64 a b) #s(literal -9/8 binary64)) (/.f64 c b) #s(literal -3/2 binary64))) a)) b)) (*.f64 a #s(literal 3 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c (fma.f64 (*.f64 (/.f64 a b) #s(literal -9/8 binary64)) (/.f64 c b) #s(literal -3/2 binary64))) a)) b)) |
(/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) b) |
(/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c (fma.f64 (*.f64 (/.f64 a b) #s(literal -9/8 binary64)) (/.f64 c b) #s(literal -3/2 binary64))) a)) b) |
#s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) |
#s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c (fma.f64 (*.f64 (/.f64 a b) #s(literal -9/8 binary64)) (/.f64 c b) #s(literal -3/2 binary64))) a)) |
(*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a)) |
(*.f64 (*.f64 c (fma.f64 (*.f64 (/.f64 a b) #s(literal -9/8 binary64)) (/.f64 c b) #s(literal -3/2 binary64))) a) |
(fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) |
(*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal -3/2 binary64) a)) c) |
(/.f64 #s(literal -9/8 binary64) b) |
#s(literal -9/8 binary64) |
b |
(/.f64 (*.f64 c c) b) |
(*.f64 (/.f64 c b) c) |
(*.f64 c c) |
c |
(*.f64 (/.f64 c a) #s(literal -3/2 binary64)) |
(/.f64 c a) |
a |
#s(literal -3/2 binary64) |
(*.f64 a a) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) a) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) b))) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) c) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) a) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) b))) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) a) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c)) |
(fma.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) a) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) b)) |
(fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) |
(fma.f64 a (fma.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) a (/.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) c)) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c b) c))) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 a a) |
a |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
#s(literal -9/16 binary64) |
(fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c))) |
(fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c b) c))) |
(/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
c |
#s(literal -3/8 binary64) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c b) c)) |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 b c) c) |
(*.f64 (*.f64 c b) c) |
(*.f64 b c) |
(*.f64 c b) |
(*.f64 c c) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.265625 | (*.f64 (*.f64 b c) c) | |
| accuracy | 0.31640625 | (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c)) | |
| accuracy | 0.35384750976844204 | (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 1.3249314772361078 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) c)) | |
| accuracy | 0.328125 | (*.f64 (/.f64 c a) #s(literal -3/2 binary64)) | |
| accuracy | 0.359375 | (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a)) | |
| accuracy | 0.3873825195368841 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 2.3111780685400976 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) b)) | |
| accuracy | 0.0078125 | (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) | |
| accuracy | 0.3125 | (*.f64 (*.f64 c a) #s(literal -3 binary64)) | |
| accuracy | 0.3873825195368841 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 54.100376429559454 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) | |
| accuracy | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| accuracy | 0.26171875 | (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) | |
| accuracy | 1.3249314772361078 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| accuracy | 5.066819385140742 | #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) | |
| accuracy | 0.29296875 | (*.f64 (pow.f64 c #s(literal 3 binary64)) a) | |
| accuracy | 0.34279252930532605 | (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))) | |
| accuracy | 0.35384750976844204 | (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) | |
| accuracy | 0.8808868809135877 | #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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 324.0ms | 216× | 1 | valid |
| 26.0ms | 40× | 0 | valid |
Compiled 749 to 102 computations (86.4% saved)
ival-mult: 108.0ms (39.9% of total)ival-div: 51.0ms (18.8% of total)ival-add: 34.0ms (12.5% of total)adjust: 29.0ms (10.7% of total)ival-pow: 23.0ms (8.5% of total)ival-sub: 11.0ms (4.1% of total)ival-sqrt: 7.0ms (2.6% of total)const: 4.0ms (1.5% of total)exact: 2.0ms (0.7% 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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) #<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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) (patch #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.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 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (patch (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))) (patch (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a)) (patch (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c)) (patch (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (patch (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) c) (patch (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) c) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) (patch (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))) (patch (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (patch (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 c a) #s(literal -3 binary64)) (patch (*.f64 (*.f64 c a) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 c a) #s(literal -3/2 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -3/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 b c) c) (patch (*.f64 (*.f64 b c) c) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -3/8 (* (pow b 2) (pow c 2))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) #<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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (+ (* -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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -3/8 (/ (pow c 2) (pow b 3))) (taylor 0 c) (#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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) (taylor inf c) (#s(alt (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a)) (patch (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) (taylor inf c) (#s(alt (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a)) (patch (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow c 2) (+ (* 9/8 (/ 1 (pow b 2))) (* 3/2 (/ 1 (* a c)))))) (taylor inf c) (#s(alt (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -3/2 (/ c a)) (taylor -inf a) (#s(alt (*.f64 (/.f64 c a) #s(literal -3/2 binary64)) (patch (*.f64 (/.f64 c a) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow a 2) (pow b 5)) (taylor -inf a) (#s(alt (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow a 2) (pow b 5)) (taylor -inf a) (#s(alt (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow a 2) (pow b 5)) (taylor -inf a) (#s(alt (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow a 2) (pow b 5)) (taylor -inf a) (#s(alt (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | b | @ | -inf | ((+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (/ (+ (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 -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (+ (neg b) (sqrt (+ (* b b) (* (* c a) -3)))) (neg b) (sqrt (+ (* b b) (* (* c a) -3))) (+ (* b b) (* (* c a) -3)) (* (+ (* (/ -9/8 b) (/ (* c c) b)) (* (/ c a) -3/2)) (* a a)) (+ (* (/ -9/8 b) (/ (* c c) b)) (* (/ c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (* c c)) (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (* (* -135/128 (pow c 4)) (* a a)) (/ (+ (* (* (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) b) b) (* (* -135/128 (pow c 4)) (* a a))) (pow b 7)) (* (pow c 3) a) (/ (+ (neg b) (sqrt (+ (* b b) (* (* c a) -3)))) (* 3 a)) (* (* c a) -3) (* (/ c a) -3/2) (/ (* a a) (pow b 5)) (* (* b c) c)) |
| 21.0ms | c | @ | inf | ((+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (/ (+ (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 -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (+ (neg b) (sqrt (+ (* b b) (* (* c a) -3)))) (neg b) (sqrt (+ (* b b) (* (* c a) -3))) (+ (* b b) (* (* c a) -3)) (* (+ (* (/ -9/8 b) (/ (* c c) b)) (* (/ c a) -3/2)) (* a a)) (+ (* (/ -9/8 b) (/ (* c c) b)) (* (/ c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (* c c)) (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (* (* -135/128 (pow c 4)) (* a a)) (/ (+ (* (* (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) b) b) (* (* -135/128 (pow c 4)) (* a a))) (pow b 7)) (* (pow c 3) a) (/ (+ (neg b) (sqrt (+ (* b b) (* (* c a) -3)))) (* 3 a)) (* (* c a) -3) (* (/ c a) -3/2) (/ (* a a) (pow b 5)) (* (* b c) c)) |
| 16.0ms | a | @ | 0 | ((+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (/ (+ (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 -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (+ (neg b) (sqrt (+ (* b b) (* (* c a) -3)))) (neg b) (sqrt (+ (* b b) (* (* c a) -3))) (+ (* b b) (* (* c a) -3)) (* (+ (* (/ -9/8 b) (/ (* c c) b)) (* (/ c a) -3/2)) (* a a)) (+ (* (/ -9/8 b) (/ (* c c) b)) (* (/ c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (* c c)) (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (* (* -135/128 (pow c 4)) (* a a)) (/ (+ (* (* (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) b) b) (* (* -135/128 (pow c 4)) (* a a))) (pow b 7)) (* (pow c 3) a) (/ (+ (neg b) (sqrt (+ (* b b) (* (* c a) -3)))) (* 3 a)) (* (* c a) -3) (* (/ c a) -3/2) (/ (* a a) (pow b 5)) (* (* b c) c)) |
| 7.0ms | a | @ | inf | ((+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (/ (+ (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 -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (+ (neg b) (sqrt (+ (* b b) (* (* c a) -3)))) (neg b) (sqrt (+ (* b b) (* (* c a) -3))) (+ (* b b) (* (* c a) -3)) (* (+ (* (/ -9/8 b) (/ (* c c) b)) (* (/ c a) -3/2)) (* a a)) (+ (* (/ -9/8 b) (/ (* c c) b)) (* (/ c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (* c c)) (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (* (* -135/128 (pow c 4)) (* a a)) (/ (+ (* (* (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) b) b) (* (* -135/128 (pow c 4)) (* a a))) (pow b 7)) (* (pow c 3) a) (/ (+ (neg b) (sqrt (+ (* b b) (* (* c a) -3)))) (* 3 a)) (* (* c a) -3) (* (/ c a) -3/2) (/ (* a a) (pow b 5)) (* (* b c) c)) |
| 7.0ms | c | @ | 0 | ((+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (/ (+ (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 -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (+ (neg b) (sqrt (+ (* b b) (* (* c a) -3)))) (neg b) (sqrt (+ (* b b) (* (* c a) -3))) (+ (* b b) (* (* c a) -3)) (* (+ (* (/ -9/8 b) (/ (* c c) b)) (* (/ c a) -3/2)) (* a a)) (+ (* (/ -9/8 b) (/ (* c c) b)) (* (/ c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (* c c)) (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (* (* -135/128 (pow c 4)) (* a a)) (/ (+ (* (* (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) b) b) (* (* -135/128 (pow c 4)) (* a a))) (pow b 7)) (* (pow c 3) a) (/ (+ (neg b) (sqrt (+ (* b b) (* (* c a) -3)))) (* 3 a)) (* (* c a) -3) (* (/ c a) -3/2) (/ (* a a) (pow b 5)) (* (* b c) c)) |
| 1× | egg-herbie |
| 12 618× | lower-fma.f64 |
| 12 618× | lower-fma.f32 |
| 10 070× | lower-*.f64 |
| 10 070× | lower-*.f32 |
| 4 670× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 995 | 17807 |
| 1 | 3133 | 17667 |
| 0 | 8986 | 16873 |
| 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)) |
(* 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 (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 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)))))))) |
(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)) |
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))) |
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))) |
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))) |
(* -3/2 (/ c a)) |
(* c (- (* -9/8 (/ c (pow b 2))) (* 3/2 (/ 1 a)))) |
(* c (- (* -9/8 (/ c (pow b 2))) (* 3/2 (/ 1 a)))) |
(* c (- (* -9/8 (/ c (pow b 2))) (* 3/2 (/ 1 a)))) |
(* -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 (/ (* 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)))))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(/ -1/2 (* b (pow c 2))) |
(/ (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) (pow c 2)) |
(/ (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) (pow c 2)) |
(/ (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) (pow c 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 (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -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))))) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 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 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* b (pow c 2)) |
(* b (pow c 2)) |
(* b (pow c 2)) |
(* b (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)))) |
(* 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))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (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)))))) |
(* -3 (* a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(* -9/8 (/ (pow c 2) (pow b 2))) |
(* -1 (* (pow c 2) (+ (* 9/8 (/ 1 (pow b 2))) (* 3/2 (/ 1 (* a c)))))) |
(* -1 (* (pow c 2) (+ (* 9/8 (/ 1 (pow b 2))) (* 3/2 (/ 1 (* a c)))))) |
(* -1 (* (pow c 2) (+ (* 9/8 (/ 1 (pow b 2))) (* 3/2 (/ 1 (* 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 (/ 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))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) |
(- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2)))) |
(- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (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))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -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))))) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 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))))))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* b (pow c 2)) |
(* b (pow c 2)) |
(* b (pow c 2)) |
(* b (pow c 2)) |
(* -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))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(* -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)))))))) |
(* -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)))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(* -9/8 (/ (pow c 2) (pow b 2))) |
(* -1 (* (pow c 2) (+ (* 9/8 (/ 1 (pow b 2))) (* 3/2 (/ 1 (* a c)))))) |
(* -1 (* (pow c 2) (+ (* 9/8 (/ 1 (pow b 2))) (* 3/2 (/ 1 (* a c)))))) |
(* -1 (* (pow c 2) (+ (* 9/8 (/ 1 (pow b 2))) (* 3/2 (/ 1 (* a 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 (* (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)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) |
(+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5)))) |
(+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5)))) |
(* -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))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -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)))) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 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))))))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* b (pow c 2)) |
(* b (pow c 2)) |
(* b (pow c 2)) |
(* b (pow c 2)) |
(* -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))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -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 5)) |
(/ (+ (* -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 5)) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(* (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))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* (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)) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(* -9/8 (/ (pow c 2) (pow b 2))) |
(/ (+ (* -3/2 (/ (* (pow b 2) c) a)) (* -9/8 (pow c 2))) (pow b 2)) |
(/ (+ (* -3/2 (/ (* (pow b 2) c) a)) (* -9/8 (pow c 2))) (pow b 2)) |
(/ (+ (* -3/2 (/ (* (pow b 2) c) a)) (* -9/8 (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 (* (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 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))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(/ (+ (* -9/16 (pow a 2)) (* -3/8 (/ (* a (pow b 2)) c))) (pow b 5)) |
(/ (+ (* -9/16 (pow a 2)) (* (pow b 2) (+ (* -1/2 (/ (pow b 2) (pow c 2))) (* -3/8 (/ a c))))) (pow b 5)) |
(/ (+ (* -9/16 (pow a 2)) (* (pow b 2) (+ (* -1/2 (/ (pow b 2) (pow c 2))) (* -3/8 (/ a c))))) (pow b 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))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -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 5)) |
(/ (+ (* -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 5)) |
(* -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))))) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(* b (pow c 2)) |
(* b (pow c 2)) |
(* b (pow c 2)) |
(* b (pow c 2)) |
(* -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) (* -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))))) b) |
(/ -1/2 b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 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) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 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))))) |
(* -3/2 (* a c)) |
(+ (* -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)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(* -3/2 (/ c a)) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (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) |
(* -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) |
(/ -1/2 b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(/ -1/2 (* b (pow c 2))) |
(/ (- (* -3/8 (/ a (* (pow b 2) c))) (* 1/2 (/ 1 (pow c 2)))) b) |
(/ (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (* 1/2 (/ 1 (pow c 2)))) b) |
(/ (- (+ (* -9/16 (/ (pow a 2) (pow b 4))) (* -3/8 (/ a (* (pow b 2) c)))) (* 1/2 (/ 1 (pow c 2)))) 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) (* -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))))) 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) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(* b (pow c 2)) |
(* b (pow c 2)) |
(* b (pow c 2)) |
(* b (pow c 2)) |
(* -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 (/ (+ (* 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))))) b)) |
(/ -1/2 b) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 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)))))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -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))))) |
(* -3/2 (* a c)) |
(+ (* -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)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(* -3/2 (/ c a)) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (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))))))) |
(* -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)))))))) |
(/ -1/2 b) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(/ -1/2 (* b (pow c 2))) |
(* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (* 1/2 (/ 1 (pow c 2)))) b)) |
(* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (+ (* 9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2))))) b)) |
(* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (+ (* 9/16 (/ (pow a 2) (pow b 4))) (* 1/2 (/ 1 (pow c 2))))) 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))))))) |
(* -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))))) 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))))))) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(* b (pow c 2)) |
(* b (pow c 2)) |
(* b (pow c 2)) |
(* b (pow c 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)))) |
(* -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))))))) |
(* -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 (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 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)))))))) |
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)) |
(* -3/2 (* a c)) |
(* a (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* a (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* a (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* -3/2 (/ c a)) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) a) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) a) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) a) |
(* -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 (/ (* 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)))))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(/ -1/2 (* b (pow c 2))) |
(- (* -3/8 (/ a (* (pow b 3) c))) (* 1/2 (/ 1 (* b (pow c 2))))) |
(- (* a (- (* -9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c))))) (* 1/2 (/ 1 (* b (pow c 2))))) |
(- (* a (- (* -9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c))))) (* 1/2 (/ 1 (* b (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 (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -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)))))) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 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 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(* -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)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* (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)))))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* -9/8 (/ (pow c 2) (pow b 2))) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (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)))))) |
(* (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))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -1 (* (pow a 2) (+ (* 9/16 (/ 1 (pow b 5))) (* 3/8 (/ 1 (* a (* (pow b 3) c))))))) |
(* (pow a 2) (- (* -1 (/ (+ (* 3/8 (/ 1 (* (pow b 3) c))) (* 1/2 (/ 1 (* a (* b (pow c 2)))))) a)) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow a 2) (- (* -1 (/ (+ (* 3/8 (/ 1 (* (pow b 3) c))) (* 1/2 (/ 1 (* a (* b (pow c 2)))))) a)) (* 9/16 (/ 1 (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)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -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))))))) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 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)))))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(* -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))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* -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)))))))) |
(* -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)))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* -9/8 (/ (pow c 2) (pow b 2))) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (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))))) |
(* -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)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(* -1 (* (pow a 2) (+ (* 9/16 (/ 1 (pow b 5))) (* 3/8 (/ 1 (* a (* (pow b 3) c))))))) |
(* (pow a 2) (- (* -1 (/ (+ (* 1/2 (/ 1 (* a (* b (pow c 2))))) (* 3/8 (/ 1 (* (pow b 3) c)))) a)) (* 9/16 (/ 1 (pow b 5))))) |
(* (pow a 2) (- (* -1 (/ (+ (* 1/2 (/ 1 (* a (* b (pow c 2))))) (* 3/8 (/ 1 (* (pow b 3) c)))) a)) (* 9/16 (/ 1 (pow b 5))))) |
(* -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))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -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)))) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (pow c 3)) |
(* a (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))))) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3 (* a c)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
(/ (pow a 2) (pow b 5)) |
| Outputs |
|---|
(* -3/8 (* (pow b 2) (pow c 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) b) |
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) |
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) |
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) |
(* -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 a #s(literal -3/8 binary64)) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.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 (*.f64 a #s(literal -9/16 binary64)) a) (/.f64 c (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 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a b)) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a #s(literal -9/16 binary64)) 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) |
(* -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 a #s(literal -3/8 binary64)) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.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 (*.f64 a #s(literal -9/16 binary64)) a) (/.f64 c (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 (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (/.f64 (*.f64 (*.f64 a #s(literal -9/16 binary64)) 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) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c)) |
(* (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 (fma.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64))) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c)) |
(* (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 (fma.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 7 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64))) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c)) |
(* -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 a #s(literal -3/8 binary64)) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.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 (*.f64 a #s(literal -9/16 binary64)) a) (/.f64 c (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 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) (*.f64 a b)) #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 a #s(literal -9/16 binary64)) 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) |
(* -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 a #s(literal -3/8 binary64)) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.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 (*.f64 a #s(literal -9/16 binary64)) a) (/.f64 c (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) |
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(*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (neg.f64 a))) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 a b))) (neg.f64 a))) (*.f64 a a)) |
(* -9/16 (/ (pow a 2) (pow b 5))) |
(/.f64 (*.f64 (*.f64 a #s(literal -9/16 binary64)) a) (pow.f64 b #s(literal 5 binary64))) |
(* -1 (* (pow a 2) (+ (* 9/16 (/ 1 (pow b 5))) (* 3/8 (/ 1 (* a (* (pow b 3) c))))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) a) c)) (/.f64 #s(literal 9/16 binary64) (pow.f64 b #s(literal 5 binary64))))) (*.f64 a a)) |
(* (pow a 2) (- (* -1 (/ (+ (* 1/2 (/ 1 (* a (* b (pow c 2))))) (* 3/8 (/ 1 (* (pow b 3) c)))) a)) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) b)) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) c))) a) #s(literal -1 binary64) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 a a)) |
(* (pow a 2) (- (* -1 (/ (+ (* 1/2 (/ 1 (* a (* b (pow c 2))))) (* 3/8 (/ 1 (* (pow b 3) c)))) a)) (* 9/16 (/ 1 (pow b 5))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a c) c) b)) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) c))) a) #s(literal -1 binary64) (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64)))) (*.f64 a a)) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.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 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 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))))) |
(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 (/.f64 #s(literal 1 binary64) a) c)) (*.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 (*.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)) (*.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))))) (neg.f64 a))) (neg.f64 a))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(*.f64 (*.f64 (*.f64 a #s(literal -9/16 binary64)) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (*.f64 a a)) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (*.f64 a a)) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(*.f64 (*.f64 a #s(literal -135/128 binary64)) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (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 (fma.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) a) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))) (*.f64 a 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 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.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)))) (neg.f64 a))) (*.f64 a 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 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.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)))) (neg.f64 a))) (*.f64 a a)) |
(* a (pow c 3)) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(* a (pow c 3)) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(* a (pow c 3)) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(* a (pow c 3)) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.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 #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 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))))) |
(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 (/.f64 #s(literal 1 binary64) a) c)) (*.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 (*.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)) (*.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))))) (neg.f64 a))) (neg.f64 a))) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(* -3/2 (/ c a)) |
(*.f64 (/.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (/ c a)) |
(*.f64 (/.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (/ c a)) |
(*.f64 (/.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (/ c a)) |
(*.f64 (/.f64 c a) #s(literal -3/2 binary64)) |
(/ (pow a 2) (pow b 5)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow a 2) (pow b 5)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow a 2) (pow b 5)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
(/ (pow a 2) (pow b 5)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
| 4 982× | lower-*.f32 |
| 4 944× | lower-*.f64 |
| 3 900× | lower-fma.f32 |
| 3 886× | lower-fma.f64 |
| 2 470× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 819 |
| 0 | 173 | 819 |
| 1 | 649 | 791 |
| 2 | 5305 | 787 |
| 0 | 8169 | 769 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a)) |
(fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) b)) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c)) |
(fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) c) |
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 (/.f64 c a) #s(literal -3/2 binary64)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (*.f64 b c) c) |
| Outputs |
|---|
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Compiled 43 210 to 4 045 computations (90.6% saved)
41 alts after pruning (38 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 335 | 15 | 1 350 |
| Fresh | 11 | 23 | 34 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 349 | 41 | 1 390 |
| Status | Accuracy | Program |
|---|---|---|
| 17.2% | (/.f64 (fma.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)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 17.0% | (/.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))))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 17.1% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 16.6% | (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 15.8% | (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) | |
| 15.6% | (/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 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 (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 15.8% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) | |
| 15.4% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| ✓ | 15.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
| 15.8% | (/.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))))) | |
| 15.4% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| ▶ | 95.5% | (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) #s(literal 1/3 binary64)) a) |
| 95.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 95.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a c) c) b) (*.f64 #s(literal -3/2 binary64) c)) a) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 95.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 95.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(approx (+ (* (/ -9/8 b) (/ (* c c) b)) (* (/ c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 c b) (/.f64 #s(literal -3/2 binary64) a)) c)) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 91.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 95.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) #s(approx (* (+ (* (/ -9/8 b) (/ (* c c) b)) (* (/ c a) -3/2)) (* a a)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a a) c) b) (*.f64 #s(literal -3/2 binary64) a)) c))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 91.6% | (/.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)) | |
| ▶ | 15.2% | (-.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)))) |
| ▶ | 15.8% | (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) |
| 15.4% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 94.0% | #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 (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))) | |
| ▶ | 98.6% | #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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 98.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) 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 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) b) b)))) a))) | |
| 96.3% | #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)) | |
| 97.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.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 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) b) b)))) a) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) (-.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 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) b) b)))) a)) (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 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) b) b)))) a) #s(literal 2 binary64))))) | |
| ▶ | 91.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| 96.0% | #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)) | |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) a) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 92.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| 97.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c)) | |
| 95.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) | |
| ✓ | 91.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| 96.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 #s(approx (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 b b) c) (*.f64 (/.f64 a c) #s(literal -3/8 binary64))) (*.f64 b b) (*.f64 (*.f64 a #s(literal -9/16 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 c c))) c)) | |
| 97.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 #s(approx (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) c) (/.f64 a (*.f64 b b)) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c c)))) b)) (*.f64 c c))) c)) | |
| 91.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 #s(approx (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c c) b))) (*.f64 c c))) c)) | |
| 97.7% | #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 c #s(literal 4 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 c b) b) #s(literal -1/2 binary64))) b) b (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))))) | |
| 98.5% | #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))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (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) (fma.f64 (/.f64 (*.f64 (*.f64 a c) c) b) (/.f64 #s(literal -3/8 binary64) b) (*.f64 #s(literal -1/2 binary64) c)))) b))) | |
| 97.8% | #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 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))))) | |
| 97.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 c b) b) #s(literal -1/2 binary64))) b) b (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64))))) |
Compiled 2 355 to 1 524 computations (35.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 896 | (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 960 | (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) | |
| cost-diff | 5888 | (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) | |
| cost-diff | 7168 | (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) #s(literal 1/3 binary64)) a) | |
| cost-diff | 320 | (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) | |
| 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 | 0 | (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) | |
| cost-diff | 1024 | (-.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)))) | |
| 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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 7 290× | lower-fma.f32 |
| 7 280× | lower-fma.f64 |
| 4 644× | lower-*.f32 |
| 4 608× | lower-*.f64 |
| 2 586× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 1087 |
| 0 | 157 | 1070 |
| 1 | 297 | 1058 |
| 2 | 641 | 1000 |
| 3 | 1545 | 976 |
| 4 | 3125 | 956 |
| 5 | 7156 | 956 |
| 0 | 8419 | 943 |
| 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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) |
(*.f64 #s(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) |
#s(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) |
(*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) |
(*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) |
(fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) |
(*.f64 a c) |
a |
c |
#s(literal -9/16 binary64) |
(*.f64 (*.f64 b b) #s(literal -3/8 binary64)) |
(*.f64 b b) |
b |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) |
(*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) |
#s(literal -135/128 binary64) |
(pow.f64 c #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 a a) |
(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 (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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 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)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 b (*.f64 a #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) #s(literal 1/3 binary64)) a) |
(*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) #s(literal 1/3 binary64)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) |
(/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b) |
#s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a)) |
(fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) |
(*.f64 (/.f64 #s(literal -9/8 binary64) b) c) |
(/.f64 #s(literal -9/8 binary64) b) |
#s(literal -9/8 binary64) |
b |
c |
(/.f64 c b) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c a)) |
#s(literal -3/2 binary64) |
(/.f64 c a) |
a |
(*.f64 a a) |
#s(literal 1/3 binary64) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
(-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(*.f64 b 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 |
#s(literal -1 binary64) |
(pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(neg.f64 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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (fma.f64 #s(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) |
(fma.f64 #s(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) |
(*.f64 #s(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) |
#s(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) |
#s(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.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 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) 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 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) |
(*.f64 (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) |
(fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
#s(literal -9/16 binary64) |
(*.f64 (*.f64 b b) #s(literal -3/8 binary64)) |
(*.f64 b b) |
b |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) |
(*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a)) |
(*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) |
#s(literal -135/128 binary64) |
(pow.f64 c #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 a a) |
(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 (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 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 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)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 b (*.f64 a #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) #s(literal 1/3 binary64)) a) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c (fma.f64 #s(literal -9/8 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal -3/2 binary64) a))) (*.f64 a a))) b))) |
(*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c (fma.f64 #s(literal -9/8 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal -3/2 binary64) a))) (*.f64 a a))) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c (fma.f64 #s(literal -9/8 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal -3/2 binary64) a))) (*.f64 a a))) b)) |
(/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b) |
(/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c (fma.f64 #s(literal -9/8 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal -3/2 binary64) a))) (*.f64 a a))) b) |
#s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) |
#s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c (fma.f64 #s(literal -9/8 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal -3/2 binary64) a))) (*.f64 a a))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a)) |
(*.f64 (*.f64 c (fma.f64 #s(literal -9/8 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal -3/2 binary64) a))) (*.f64 a a)) |
(fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) |
(*.f64 c (fma.f64 #s(literal -9/8 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal -3/2 binary64) a))) |
(*.f64 (/.f64 #s(literal -9/8 binary64) b) c) |
(/.f64 #s(literal -9/8 binary64) b) |
#s(literal -9/8 binary64) |
b |
c |
(/.f64 c b) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c a)) |
(*.f64 (/.f64 c a) #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
(/.f64 c a) |
a |
(*.f64 a a) |
#s(literal 1/3 binary64) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) |
c |
(/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) c) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
a |
(-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(*.f64 (*.f64 c a) #s(literal 3 binary64)) |
(*.f64 b 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 |
#s(literal -1 binary64) |
(pow.f64 (-.f64 (neg.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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.18359375 | (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) | |
| accuracy | 0.2421875 | (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) | |
| accuracy | 0.37890625 | (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) | |
| accuracy | 53.89449589295652 | (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| accuracy | 0.328125 | (*.f64 #s(literal -3/2 binary64) (/.f64 c a)) | |
| accuracy | 0.359375 | (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a)) | |
| accuracy | 0.39453125 | (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) #s(literal 1/3 binary64)) | |
| accuracy | 2.3111780685400976 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) | |
| accuracy | 0.05859375 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.31640625 | (/.f64 b (*.f64 a #s(literal 3 binary64))) | |
| accuracy | 0.33984375 | (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) | |
| accuracy | 54.198596148464844 | (-.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)))) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 0.22265625 | (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) | |
| accuracy | 5.067652899588147 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| accuracy | 0.27734375 | (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) | |
| accuracy | 0.34279252930532605 | (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))) | |
| accuracy | 0.35384750976844204 | (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) | |
| accuracy | 0.8808868809135877 | #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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
| 337.0ms | 223× | 1 | valid |
| 46.0ms | 33× | 0 | valid |
Compiled 688 to 105 computations (84.7% saved)
ival-mult: 98.0ms (33% of total)ival-div: 62.0ms (20.8% of total)ival-pow: 43.0ms (14.5% of total)adjust: 31.0ms (10.4% of total)ival-sub: 25.0ms (8.4% of total)ival-add: 20.0ms (6.7% of total)ival-sqrt: 7.0ms (2.4% of total)const: 7.0ms (2.4% of total)exact: 2.0ms (0.7% of total)ival-neg: 1.0ms (0.3% 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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (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)))) (patch (-.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)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (patch (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 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 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (patch (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) #s(literal 1/3 binary64)) a) (patch (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) #s(literal 1/3 binary64)) a) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (patch (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (patch (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) (patch (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) (patch (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) #<representation binary64>) () ()) |
#s(alt (/.f64 b (*.f64 a #s(literal 3 binary64))) (patch (/.f64 b (*.f64 a #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a)) (patch (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -3/2 binary64) (/.f64 c a)) (patch (*.f64 #s(literal -3/2 binary64) (/.f64 c a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) (patch (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) #<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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a)) (patch (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a)) (patch (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ c a)) (taylor -inf a) (#s(alt (*.f64 #s(literal -3/2 binary64) (/.f64 c a)) (patch (*.f64 #s(literal -3/2 binary64) (/.f64 c a)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ c a)) (taylor -inf a) (#s(alt (*.f64 #s(literal -3/2 binary64) (/.f64 c a)) (patch (*.f64 #s(literal -3/2 binary64) (/.f64 c a)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ c a)) (taylor -inf a) (#s(alt (*.f64 #s(literal -3/2 binary64) (/.f64 c a)) (patch (*.f64 #s(literal -3/2 binary64) (/.f64 c a)) #<representation binary64>) () ())) ()) |
#s(alt (* -3/2 (/ c a)) (taylor -inf a) (#s(alt (*.f64 #s(literal -3/2 binary64) (/.f64 c a)) (patch (*.f64 #s(literal -3/2 binary64) (/.f64 c a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) (taylor -inf a) (#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) (patch (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) (taylor -inf a) (#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) (patch (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) (taylor -inf a) (#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) (patch (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) (taylor -inf a) (#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) (patch (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | 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))) (/ (+ (* (* (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) b) b) (* (* -135/128 (pow c 4)) (* a a))) (pow b 7)) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (/ b (* a 3))) (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (* (/ -9/8 b) c) (/ c b)) (* -3/2 (/ c a))) (/ (* (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) 1/3) a) (* (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) 1/3) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (pow (/ (* 3 a) (- (* b b) (+ (* (* -3 c) a) (* b b)))) -1) (pow (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b)))) -1) (/ (* 3 a) (- (* b b) (+ (* (* -3 c) a) (* b b)))) (- (* b b) (+ (* (* -3 c) a) (* b b))) (* (* -135/128 (pow c 4)) (* a a)) (* (* (+ (* (* a c) -9/16) (* (* b b) -3/8)) c) c) (/ b (* a 3)) (* (+ (* (* (/ -9/8 b) c) (/ c b)) (* -3/2 (/ c a))) (* a a)) (* -3/2 (/ c a)) (* (pow (/ (* 3 a) (- (* b b) (+ (* (* -3 c) a) (* b b)))) -1) (pow (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b)))) -1))) |
| 11.0ms | a | @ | -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))) (/ (+ (* (* (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) b) b) (* (* -135/128 (pow c 4)) (* a a))) (pow b 7)) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (/ b (* a 3))) (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (* (/ -9/8 b) c) (/ c b)) (* -3/2 (/ c a))) (/ (* (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) 1/3) a) (* (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) 1/3) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (pow (/ (* 3 a) (- (* b b) (+ (* (* -3 c) a) (* b b)))) -1) (pow (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b)))) -1) (/ (* 3 a) (- (* b b) (+ (* (* -3 c) a) (* b b)))) (- (* b b) (+ (* (* -3 c) a) (* b b))) (* (* -135/128 (pow c 4)) (* a a)) (* (* (+ (* (* a c) -9/16) (* (* b b) -3/8)) c) c) (/ b (* a 3)) (* (+ (* (* (/ -9/8 b) c) (/ c b)) (* -3/2 (/ c a))) (* a a)) (* -3/2 (/ c a)) (* (pow (/ (* 3 a) (- (* b b) (+ (* (* -3 c) a) (* b b)))) -1) (pow (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b)))) -1))) |
| 7.0ms | a | @ | 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))) (/ (+ (* (* (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) b) b) (* (* -135/128 (pow c 4)) (* a a))) (pow b 7)) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (/ b (* a 3))) (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (* (/ -9/8 b) c) (/ c b)) (* -3/2 (/ c a))) (/ (* (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) 1/3) a) (* (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) 1/3) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (pow (/ (* 3 a) (- (* b b) (+ (* (* -3 c) a) (* b b)))) -1) (pow (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b)))) -1) (/ (* 3 a) (- (* b b) (+ (* (* -3 c) a) (* b b)))) (- (* b b) (+ (* (* -3 c) a) (* b b))) (* (* -135/128 (pow c 4)) (* a a)) (* (* (+ (* (* a c) -9/16) (* (* b b) -3/8)) c) c) (/ b (* a 3)) (* (+ (* (* (/ -9/8 b) c) (/ c b)) (* -3/2 (/ c a))) (* a a)) (* -3/2 (/ c a)) (* (pow (/ (* 3 a) (- (* b b) (+ (* (* -3 c) a) (* b b)))) -1) (pow (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b)))) -1))) |
| 7.0ms | 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))) (/ (+ (* (* (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) b) b) (* (* -135/128 (pow c 4)) (* a a))) (pow b 7)) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (/ b (* a 3))) (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (* (/ -9/8 b) c) (/ c b)) (* -3/2 (/ c a))) (/ (* (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) 1/3) a) (* (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) 1/3) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (pow (/ (* 3 a) (- (* b b) (+ (* (* -3 c) a) (* b b)))) -1) (pow (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b)))) -1) (/ (* 3 a) (- (* b b) (+ (* (* -3 c) a) (* b b)))) (- (* b b) (+ (* (* -3 c) a) (* b b))) (* (* -135/128 (pow c 4)) (* a a)) (* (* (+ (* (* a c) -9/16) (* (* b b) -3/8)) c) c) (/ b (* a 3)) (* (+ (* (* (/ -9/8 b) c) (/ c b)) (* -3/2 (/ c a))) (* a a)) (* -3/2 (/ c a)) (* (pow (/ (* 3 a) (- (* b b) (+ (* (* -3 c) a) (* b b)))) -1) (pow (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b)))) -1))) |
| 7.0ms | 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))) (/ (+ (* (* (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) b) b) (* (* -135/128 (pow c 4)) (* a a))) (pow b 7)) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (- (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (/ b (* a 3))) (/ (sqrt (+ (* (* -3 c) a) (* b b))) (* a 3)) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (+ (* (* (/ -9/8 b) c) (/ c b)) (* -3/2 (/ c a))) (/ (* (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) 1/3) a) (* (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) 1/3) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (pow (/ (* 3 a) (- (* b b) (+ (* (* -3 c) a) (* b b)))) -1) (pow (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b)))) -1) (/ (* 3 a) (- (* b b) (+ (* (* -3 c) a) (* b b)))) (- (* b b) (+ (* (* -3 c) a) (* b b))) (* (* -135/128 (pow c 4)) (* a a)) (* (* (+ (* (* a c) -9/16) (* (* b b) -3/8)) c) c) (/ b (* a 3)) (* (+ (* (* (/ -9/8 b) c) (/ c b)) (* -3/2 (/ c a))) (* a a)) (* -3/2 (/ c a)) (* (pow (/ (* 3 a) (- (* b b) (+ (* (* -3 c) a) (* b b)))) -1) (pow (- (neg b) (sqrt (+ (* (* -3 c) a) (* b b)))) -1))) |
| 1× | egg-herbie |
| 7 798× | lower-*.f64 |
| 7 798× | lower-*.f32 |
| 7 362× | lower-fma.f64 |
| 7 362× | lower-fma.f32 |
| 4 422× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1514 | 16786 |
| 1 | 5031 | 16493 |
| 0 | 8749 | 15815 |
| 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) |
(* -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)))) |
(* 1/3 (/ b a)) |
(+ (* -1/2 (/ c b)) (* 1/3 (/ b a))) |
(+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* 1/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 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)) |
(* -3/2 (/ c a)) |
(* c (- (* -9/8 (/ c (pow b 2))) (* 3/2 (/ 1 a)))) |
(* c (- (* -9/8 (/ c (pow b 2))) (* 3/2 (/ 1 a)))) |
(* c (- (* -9/8 (/ c (pow b 2))) (* 3/2 (/ 1 a)))) |
(* -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 (/ (* a c) b)) |
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* 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)))))))) |
c |
c |
c |
c |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* c (- (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* 3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(- (* c (- (* c (- (* -1 (* c (+ (* 27/128 (/ (pow a 3) (pow b 7))) (* 27/32 (/ (pow a 3) (pow b 7)))))) (* 9/16 (/ (pow a 2) (pow b 5))))) (* 3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -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)))) |
(* -3/2 (* a c)) |
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))) |
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))) |
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -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))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 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))))))) |
(* -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) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (- (+ (* 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 (/ b (* a c))))) |
(* 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 (/ b (* a c))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* 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 (+ (* -1/24 (* (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 (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 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))) |
(* -9/8 (/ (pow c 2) (pow b 2))) |
(* -1 (* (pow c 2) (+ (* 9/8 (/ 1 (pow b 2))) (* 3/2 (/ 1 (* a c)))))) |
(* -1 (* (pow c 2) (+ (* 9/8 (/ 1 (pow b 2))) (* 3/2 (/ 1 (* a c)))))) |
(* -1 (* (pow c 2) (+ (* 9/8 (/ 1 (pow b 2))) (* 3/2 (/ 1 (* 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))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 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))) |
c |
c |
c |
c |
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) c) |
(/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) c) |
(/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))))) c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -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)))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) |
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 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))))))) |
(* -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) |
(* -1/3 (* (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 (/ (- (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) 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 (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 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)))) |
(* -9/8 (/ (pow c 2) (pow b 2))) |
(* -1 (* (pow c 2) (+ (* 9/8 (/ 1 (pow b 2))) (* 3/2 (/ 1 (* a c)))))) |
(* -1 (* (pow c 2) (+ (* 9/8 (/ 1 (pow b 2))) (* 3/2 (/ 1 (* a c)))))) |
(* -1 (* (pow c 2) (+ (* 9/8 (/ 1 (pow b 2))) (* 3/2 (/ 1 (* a 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 (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ 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)))))) |
c |
c |
c |
c |
(* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (/ b (* a (pow (sqrt 3) 2)))) c)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (/ (* b c) (* a (pow (sqrt 3) 2)))) c))) c)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (* 1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (/ (* b c) (* a (pow (sqrt 3) 2)))) c))) c)) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -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)))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (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))))) |
(* -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) |
(* 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))) |
(+ (* 1/6 (* (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))) (* (pow b 2) (+ (* -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 (* (sqrt (/ c a)) (sqrt -3))) (* (pow b 2) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(* (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)) |
(* -9/8 (/ (pow c 2) (pow b 2))) |
(/ (+ (* -3/2 (/ (* (pow b 2) c) a)) (* -9/8 (pow c 2))) (pow b 2)) |
(/ (+ (* -3/2 (/ (* (pow b 2) c) a)) (* -9/8 (pow c 2))) (pow b 2)) |
(/ (+ (* -3/2 (/ (* (pow b 2) c) a)) (* -9/8 (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 (* (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 (* a c)) (sqrt -3))) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) |
(* (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))) |
c |
c |
c |
c |
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (/ b (* a (* c (pow (sqrt -3) 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (+ (* -1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (* c (pow (sqrt -3) 2))))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (sqrt -3)))) (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4)))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (* c (pow (sqrt -3) 2))))))) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -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 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 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) |
(* -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) |
(* 1/3 (/ b a)) |
(* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a)))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 1 a))))) |
(* 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 (/ 1 a)))))) |
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))))) |
(* -3/2 (/ c a)) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (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 (/ (* a c) b)) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 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) |
c |
c |
c |
c |
(/ -1/2 b) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1/2 (* 3/8 (/ (* a c) (pow b 2))))) b) |
(/ (- (* -1 (/ (+ (* 27/128 (* (pow a 3) (pow c 3))) (* 27/32 (* (pow a 3) (pow c 3)))) (pow b 6))) (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) b) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -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)))) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* -3/2 (* a c)) |
(+ (* -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)) (* -9/8 (/ (* (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) |
(/ (+ (* -27/32 (/ (* (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))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) 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))))))) |
(* -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) |
(* -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))))))) |
(* -1/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 1/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 1/3 (/ 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))) (* 1/3 (/ 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))))) |
(* -3/2 (/ c a)) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (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))))))) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -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)))))))) |
c |
c |
c |
c |
(* -2/3 (/ b (* a c))) |
(* -1 (* b (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/8 (* a c)) (* 3/4 (* a c))) (pow b 4))) (* 2/3 (/ 1 (* a c)))) (* 1/2 (/ 1 (pow b 2)))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* a c)) (* 3/4 (* a c)))))) (+ (* -9/16 (* (pow a 2) (pow c 2))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))))) (pow b 6))) (* 2/3 (/ 1 (* a c)))) (+ (* -3/8 (/ (* a c) (pow b 4))) (+ (* 3/4 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))))))) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -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)))) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* -3/2 (* a c)) |
(+ (* -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)) (* -9/8 (/ (* (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 (/ (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))) (* 1/2 (/ c (pow b 2)))))) |
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2))))))) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 2/3 (/ 1 a))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 3/4 (/ (* a (pow c 2)) (pow b 4)))))))) |
(* -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))))))) |
(* -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))))))) |
(* 1/3 (/ b a)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/3 b)) a) |
(/ (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a) |
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)) |
(* -3/2 (/ c a)) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) a) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) a) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) a) |
(* -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 (/ (* a c) b)) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -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 (/ (* 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)))))))) |
c |
c |
c |
c |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* a (- (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* 3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(- (* a (- (* a (- (* -1 (* a (+ (* 27/128 (/ (pow c 3) (pow b 7))) (* 27/32 (/ (pow c 3) (pow b 7)))))) (* 9/16 (/ (pow c 2) (pow b 5))))) (* 3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 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)))) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* -3/2 (* a c)) |
(* a (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* a (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* a (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -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))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7)))))))))) |
(* 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)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(- (+ (* 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 (/ b a))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -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))))) |
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 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))) |
(* -9/8 (/ (pow c 2) (pow b 2))) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (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)))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -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 (/ 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))) |
c |
c |
c |
c |
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (/ b (* c (pow (sqrt -3) 2)))) a) |
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow a 2)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) a) |
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) a) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -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 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) 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))))) |
(* -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))))) |
(* -1/3 (* (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)))) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (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)))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (+ (* -1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 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)))) |
(* -9/8 (/ (pow c 2) (pow b 2))) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2)))) |
(+ (* -3/2 (/ c a)) (* -9/8 (/ (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))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 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 (+ (* (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)))))) |
c |
c |
c |
c |
(* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (* c (pow (sqrt 3) 2)))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (/ (* a b) (* c (pow (sqrt 3) 2)))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (* 1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (/ (* a b) (* c (pow (sqrt 3) 2)))) a))) a)) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -135/128 (* (pow a 2) (pow c 4))) |
(* -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 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* 1/3 (/ b a)) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* -3/2 (/ c a)) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) |
| Outputs |
|---|
(* -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 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.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 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 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) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) c) a) (/.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) |
(* -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 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.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 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 7 binary64)))) #s(literal -135/128 binary64) (/.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) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c)) |
(* (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 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c)) |
(* (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 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) c)) (pow.f64 b #s(literal 7 binary64)))) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c)) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c)) |
(* (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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(* -3 (* a c)) |
(*.f64 (*.f64 #s(literal -3 binary64) c) a) |
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(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
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(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
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(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
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c |
c |
c |
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(* 1/3 (/ b a)) |
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(* 1/3 (/ b a)) |
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c |
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(*.f64 (/.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (/ c a)) |
(*.f64 (/.f64 c a) #s(literal -3/2 binary64)) |
(* -3/2 (/ c a)) |
(*.f64 (/.f64 c a) #s(literal -3/2 binary64)) |
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a))) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a)) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (*.f64 a c)) (/.f64 b #s(literal 3 binary64))) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 a c)) (/.f64 (-.f64 (/.f64 (*.f64 a b) #s(literal -3 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64)) a)) a))) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 a c)) (/.f64 (-.f64 (/.f64 (*.f64 a b) #s(literal -3 binary64)) (/.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64))))) (neg.f64 a)))) a)) a))) (neg.f64 a)) |
| 4 904× | lower-*.f32 |
| 4 868× | lower-*.f64 |
| 3 938× | lower-fma.f32 |
| 3 928× | lower-fma.f64 |
| 2 532× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 748 |
| 0 | 157 | 726 |
| 1 | 631 | 700 |
| 2 | 5208 | 694 |
| 0 | 8145 | 681 |
| 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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(approx (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c)) b) b (*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a))) (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 (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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 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 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) #s(literal 1/3 binary64)) a) |
(*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) #s(literal 1/3 binary64)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) |
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(*.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c) c) |
(/.f64 b (*.f64 a #s(literal 3 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c a)) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) |
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Compiled 53 570 to 4 676 computations (91.3% saved)
41 alts after pruning (37 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 612 | 18 | 1 630 |
| Fresh | 14 | 19 | 33 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 630 | 41 | 1 671 |
| Status | Accuracy | Program |
|---|---|---|
| 18.0% | (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 b (*.f64 #s(literal -3 binary64) a))) | |
| 18.0% | (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 b (*.f64 #s(literal -3 binary64) a))) | |
| 17.1% | (fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 17.2% | (/.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) | |
| 17.1% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 15.8% | (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) | |
| 15.8% | (/.f64 (-.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) | |
| 15.6% | (/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 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 (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 15.2% | (/.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)) | |
| 16.0% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 (*.f64 a #s(literal 3 binary64)) b)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) b))) | |
| 15.1% | (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64)) | |
| 15.4% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 (*.f64 a #s(literal 3 binary64)) b)) (*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 a #s(literal 3 binary64)) b))) | |
| 15.2% | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 #s(literal -3 binary64) a)) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) a))) | |
| 15.4% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| ✓ | 15.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
| 15.8% | (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)) (*.f64 b b))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 15.4% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 95.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 95.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a c) c) b) (*.f64 #s(literal -3/2 binary64) c)) a) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 95.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 95.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(approx (+ (* (/ -9/8 b) (/ (* c c) b)) (* (/ c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 c b) (/.f64 #s(literal -3/2 binary64) a)) c)) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 91.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 91.6% | (/.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)) | |
| 95.9% | (/.f64 #s(approx (* (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) 1/3) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b)) #s(literal -3/8 binary64) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))) b)) a) | |
| 15.9% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 b #s(literal 3 binary64)) a)) | |
| 14.8% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 binary64))) | |
| 99.4% | (*.f64 (pow.f64 #s(approx (/ (* 3 a) (- (* b b) (+ (* (* -3 c) a) (* b b)))) (/.f64 #s(literal 1 binary64) c)) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) | |
| 15.4% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 15.6% | (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)) (*.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 b b) (*.f64 a #s(literal 3 binary64)))) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) | |
| 15.5% | (*.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 a #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 a #s(literal 3 binary64)))) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) | |
| 98.6% | #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 (+ (* (* (* (* b c) c) b) -3/8) (* (* (pow c 3) a) -9/16)) (*.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 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)))))) a))) | |
| 96.3% | #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)) | |
| ✓ | 91.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) a) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 92.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| 97.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c)) | |
| 95.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) | |
| ✓ | 91.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| 96.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 #s(approx (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 b b) c) (*.f64 (/.f64 a c) #s(literal -3/8 binary64))) (*.f64 b b) (*.f64 (*.f64 a #s(literal -9/16 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 c c))) c)) | |
| 97.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 #s(approx (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) c) (/.f64 a (*.f64 b b)) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c c)))) b)) (*.f64 c c))) c)) | |
| 91.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 #s(approx (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c c) b))) (*.f64 c c))) c)) |
Compiled 3 477 to 1 246 computations (64.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#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))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 #s(approx (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c c) b))) (*.f64 c c))) c)) |
(/.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 (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)) |
(*.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 #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)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.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 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 3 binary64))))) (*.f64 #s(literal 3 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))) |
#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)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 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)))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (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 b 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 (/.f64 b #s(literal 3 binary64)) a)) |
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(/.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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 c (/.f64 #s(literal -1/2 binary64) 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 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) b) b)))) a))) |
(/.f64 (fma.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)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
#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 c #s(literal 4 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a c) c) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 c b) b) #s(literal -1/2 binary64))) b) b (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))))) |
#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) c) (/.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 a b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (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)) |
#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)) |
#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 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))))) |
#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))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (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) (fma.f64 (/.f64 (*.f64 (*.f64 a c) c) b) (/.f64 #s(literal -3/8 binary64) b) (*.f64 #s(literal -1/2 binary64) c)))) b))) |
#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)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) b) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 a c) c) b) (/.f64 #s(literal -3/8 binary64) b) (*.f64 #s(literal -1/2 binary64) c)))) b)) |
#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 (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.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 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) b) b)))) a) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) (-.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 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) b) b)))) a)) (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 (*.f64 (*.f64 a a) #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) b) b)))) a) #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 (pow.f64 #s(approx (/ (* 3 a) (- (* b b) (+ (* (* -3 c) a) (* b b)))) (/.f64 #s(literal 1 binary64) c)) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) |
5 calls:
| 46.0ms | b |
| 37.0ms | (*.f64 #s(literal 3 binary64) a) |
| 29.0ms | c |
| 25.0ms | a |
| 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 |
|---|---|---|
| 99.4% | 1 | a |
| 99.4% | 1 | b |
| 99.4% | 1 | c |
| 99.4% | 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)) |
| 99.4% | 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 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#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))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 #s(approx (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c c) b))) (*.f64 c c))) c)) |
(/.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 (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)) |
(*.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 #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)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.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 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 3 binary64))))) (*.f64 #s(literal 3 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))) |
#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)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 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)))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (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 b 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 (/.f64 b #s(literal 3 binary64)) a)) |
(/.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (* (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) 1/3) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b)) #s(literal -3/8 binary64) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))) b)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) #s(approx (* (+ (* (/ -9/8 b) (/ (* c c) b)) (* (/ c a) -3/2)) (* a a)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a a) c) b) (*.f64 #s(literal -3/2 binary64) a)) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a c) c) b) (*.f64 #s(literal -3/2 binary64) c)) a) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (neg.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))) (*.f64 #s(literal -3 binary64) a)) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(approx (+ (* (/ -9/8 b) (/ (* c c) b)) (* (/ c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 c b) (/.f64 #s(literal -3/2 binary64) a)) c)) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.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 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)) (*.f64 b b))) (-.f64 (neg.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 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) a) #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) c) c) #s(literal -9/8 binary64))) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 (*.f64 a #s(literal 3 binary64)) b)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) b))) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 (*.f64 a #s(literal 3 binary64)) b)) (*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 a #s(literal 3 binary64)) b))) |
(/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 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 (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) |
#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)) |
#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)))) |
(/.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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) a) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 a c) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c)) |
(*.f64 (-.f64 (/.f64 (*.f64 b b) (*.f64 a #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 a #s(literal 3 binary64)))) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)) (*.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 b b) (*.f64 a #s(literal 3 binary64)))) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 #s(approx (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 b b) c) (*.f64 (/.f64 a c) #s(literal -3/8 binary64))) (*.f64 b b) (*.f64 (*.f64 a #s(literal -9/16 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 c c))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 #s(approx (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) c) (/.f64 a (*.f64 b b)) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c c)))) b)) (*.f64 c c))) c)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) a) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
5 calls:
| 18.0ms | a |
| 17.0ms | b |
| 16.0ms | (*.f64 #s(literal 3 binary64) a) |
| 16.0ms | c |
| 15.0ms | (/.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 |
|---|---|---|
| 97.5% | 1 | a |
| 97.5% | 1 | b |
| 97.5% | 1 | c |
| 97.5% | 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)) |
| 97.5% | 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 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#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))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 #s(approx (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c c) b))) (*.f64 c c))) c)) |
(/.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 (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)) |
(*.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 #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)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.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 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 3 binary64))))) (*.f64 #s(literal 3 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))) |
#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)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 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)))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (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 b 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 (/.f64 b #s(literal 3 binary64)) a)) |
(/.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (* (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) 1/3) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b)) #s(literal -3/8 binary64) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))) b)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) #s(approx (* (+ (* (/ -9/8 b) (/ (* c c) b)) (* (/ c a) -3/2)) (* a a)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a a) c) b) (*.f64 #s(literal -3/2 binary64) a)) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a c) c) b) (*.f64 #s(literal -3/2 binary64) c)) a) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (neg.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))) (*.f64 #s(literal -3 binary64) a)) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(approx (+ (* (/ -9/8 b) (/ (* c c) b)) (* (/ c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 c b) (/.f64 #s(literal -3/2 binary64) a)) c)) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.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 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)) (*.f64 b b))) (-.f64 (neg.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 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) a) #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) c) c) #s(literal -9/8 binary64))) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 (*.f64 a #s(literal 3 binary64)) b)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) b))) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 (*.f64 a #s(literal 3 binary64)) b)) (*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 a #s(literal 3 binary64)) b))) |
(/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 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 (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) |
#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)) |
#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)))) |
(/.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)) |
| Outputs |
|---|
#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)))) |
5 calls:
| 24.0ms | c |
| 18.0ms | a |
| 18.0ms | b |
| 14.0ms | (*.f64 #s(literal 3 binary64) a) |
| 12.0ms | (/.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 |
|---|---|---|
| 96.3% | 1 | b |
| 96.3% | 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)) |
| 96.3% | 1 | a |
| 96.3% | 1 | c |
| 96.3% | 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 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#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))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 #s(approx (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c c) b))) (*.f64 c c))) c)) |
(/.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 (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)) |
(*.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 #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)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.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 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 3 binary64))))) (*.f64 #s(literal 3 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))) |
#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)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 1/3 binary64) (/.f64 b (*.f64 #s(literal -3 binary64) a))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal 1/3 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)))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/3 binary64) a) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (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 b 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 (/.f64 b #s(literal 3 binary64)) a)) |
(/.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) b)) (*.f64 #s(literal 9 binary64) (*.f64 a a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 b a))) #s(literal 9 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (* (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) 1/3) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b)) #s(literal -3/8 binary64) (*.f64 (*.f64 a c) #s(literal -1/2 binary64))) b)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) #s(approx (* (+ (* (/ -9/8 b) (/ (* c c) b)) (* (/ c a) -3/2)) (* a a)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a a) c) b) (*.f64 #s(literal -3/2 binary64) a)) c))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 a c) c) b) (*.f64 #s(literal -3/2 binary64) c)) a) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (neg.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))) (*.f64 #s(literal -3 binary64) a)) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(approx (+ (* (/ -9/8 b) (/ (* c c) b)) (* (/ c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 c b) (/.f64 #s(literal -3/2 binary64) a)) c)) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.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 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (fma.f64 (*.f64 a #s(literal 3 binary64)) c (*.f64 b b)) (*.f64 b b))) (-.f64 (neg.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 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) a) #s(literal -3/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) c) c) #s(literal -9/8 binary64))) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -3/2 binary64))) (*.f64 a a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 c a))) (*.f64 a a))) b)) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a) (/.f64 (*.f64 a #s(literal 3 binary64)) b)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) b))) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 (*.f64 a #s(literal 3 binary64)) b)) (*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 a #s(literal 3 binary64)) b))) |
(/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 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 (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) |
#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)) |
| Outputs |
|---|
#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)) |
5 calls:
| 42.0ms | a |
| 15.0ms | c |
| 14.0ms | (*.f64 #s(literal 3 binary64) a) |
| 14.0ms | b |
| 12.0ms | (/.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 |
|---|---|---|
| 96.3% | 1 | a |
| 96.3% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 96.3% | 1 | b |
| 96.3% | 1 | c |
| 96.3% | 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 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#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))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 #s(approx (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c c) b))) (*.f64 c c))) c)) |
(/.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 (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)) |
(*.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 #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)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.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 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 3 binary64))))) (*.f64 #s(literal 3 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))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
5 calls:
| 6.0ms | b |
| 6.0ms | a |
| 6.0ms | (*.f64 #s(literal 3 binary64) a) |
| 6.0ms | c |
| 5.0ms | (/.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 |
|---|---|---|
| 95.9% | 1 | c |
| 95.9% | 1 | a |
| 95.9% | 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)) |
| 95.9% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 95.9% | 1 | b |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#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))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 #s(approx (+ (* (/ (* a a) (pow b 5)) -9/16) (+ (* (/ (/ a (pow b 3)) c) -3/8) (/ -1/2 (* (* b c) c)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c c) b))) (*.f64 c c))) c)) |
(/.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 (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* a a) -9/8) b) (/ (* c c) b)) (* (* c a) -3/2)) (*.f64 #s(literal -3/2 binary64) (*.f64 a c))) b)) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
5 calls:
| 3.0ms | (*.f64 #s(literal 3 binary64) a) |
| 2.0ms | (/.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)) |
| 2.0ms | b |
| 2.0ms | a |
| 2.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 1 | a |
| 92.1% | 1 | b |
| 92.1% | 1 | c |
| 92.1% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 92.1% | 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 23 to 26 computations (-13% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
5 calls:
| 1.0ms | b |
| 1.0ms | (*.f64 #s(literal 3 binary64) a) |
| 1.0ms | a |
| 1.0ms | c |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.7% | 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)) |
| 91.7% | 1 | c |
| 91.7% | 1 | a |
| 91.7% | 1 | b |
| 91.7% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
| 1× | egg-herbie |
| 34× | *-commutative-binary64-*.f64 |
| 10× | +-commutative-binary64-+.f64 |
| 8× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 6× | neg-sub0-binary64--.f64-neg.f64 |
| 6× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 299 |
| 1 | 107 | 299 |
| 2 | 114 | 299 |
| 3 | 122 | 299 |
| 4 | 125 | 299 |
| 5 | 126 | 299 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (pow.f64 #s(approx (/ (* 3 a) (- (* b b) (+ (* (* -3 c) a) (* b b)))) (/.f64 #s(literal 1 binary64) c)) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) a) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#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 (/ (+ (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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
#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(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| Outputs |
|---|
(*.f64 (pow.f64 #s(approx (/ (* 3 a) (- (* b b) (+ (* (* -3 c) a) (* b b)))) (/.f64 #s(literal 1 binary64) c)) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 #s(approx (/ (* 3 a) (- (* b b) (+ (* (* -3 c) a) (* b b)))) (/.f64 #s(literal 1 binary64) c)) #s(literal -1 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) a) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#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 (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) c) (*.f64 (/.f64 c b) #s(literal -1/2 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) b)) c)) |
#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(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| 12 658× | lower-fma.f64 |
| 12 658× | lower-fma.f32 |
| 12 618× | lower-fma.f64 |
| 12 618× | lower-fma.f32 |
| 11 360× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 475 |
| 0 | 124 | 475 |
| 1 | 445 | 455 |
| 2 | 3521 | 451 |
| 0 | 10623 | 447 |
| 0 | 885 | 14987 |
| 1 | 2753 | 14887 |
| 0 | 8586 | 14263 |
| 0 | 12 | 46 |
| 0 | 20 | 46 |
| 1 | 71 | 44 |
| 2 | 525 | 43 |
| 3 | 6836 | 43 |
| 0 | 8125 | 40 |
| 0 | 1514 | 16786 |
| 1 | 5031 | 16493 |
| 0 | 8749 | 15815 |
| 0 | 995 | 17807 |
| 1 | 3133 | 17667 |
| 0 | 8986 | 16873 |
| 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× | node 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 |
Compiled 217 to 161 computations (25.8% saved)
Compiled 256 to 146 computations (43% saved)
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