
Time bar (total: 12.6s)
| 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 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 2.3% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 11.3% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 21.1% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 28% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 40.1% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 41 to 26 computations (36.6% saved)
| 839.0ms | 5 551× | 0 | valid |
| 637.0ms | 2 705× | 1 | valid |
| 183.0ms | 1 335× | 0 | invalid |
const: 325.0ms (26.7% of total)ival-mult: 239.0ms (19.6% of total)ival-<: 146.0ms (12% of total)ival-div: 116.0ms (9.5% of total)ival-sqrt: 99.0ms (8.1% of total)adjust: 68.0ms (5.6% of total)ival-add: 65.0ms (5.3% of total)ival-sub: 63.0ms (5.2% of total)ival-neg: 52.0ms (4.3% of total)ival-and: 34.0ms (2.8% of total)exact: 6.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 234 | 3 | (5.95281085504175e-6 179.68653780890753 26933572.188868374) | 3 | (12.481534605229411 9.428229328391442 0.10456951817487016) | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 1 | 0 | - | 0 | - | (-.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 | - | 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 | 234 | 6 |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | cancellation | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 231 | 3 |
| - | 4 | 18 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 231 | 3 | 0 |
| - | 4 | 3 | 15 |
| number | freq |
|---|---|
| 0 | 21 |
| 1 | 235 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 46.0ms | 194× | 1 | valid |
| 28.0ms | 318× | 0 | valid |
Compiled 156 to 40 computations (74.4% saved)
ival-mult: 13.0ms (36.2% of total)ival-div: 5.0ms (13.9% of total)ival-sqrt: 5.0ms (13.9% of total)adjust: 4.0ms (11.1% of total)ival-add: 3.0ms (8.4% of total)ival-sub: 3.0ms (8.4% of total)ival-neg: 2.0ms (5.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 562× | div-sub |
| 1 088× | lower-fma.f64 |
| 1 088× | lower-fma.f32 |
| 996× | sub-neg |
| 712× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 158 |
| 1 | 152 | 144 |
| 2 | 433 | 144 |
| 3 | 1173 | 144 |
| 4 | 3171 | 144 |
| 5 | 6061 | 144 |
| 0 | 12 | 17 |
| 0 | 20 | 17 |
| 1 | 36 | 16 |
| 2 | 73 | 16 |
| 3 | 156 | 16 |
| 4 | 236 | 16 |
| 5 | 374 | 16 |
| 6 | 650 | 16 |
| 7 | 1103 | 16 |
| 8 | 2241 | 16 |
| 9 | 2510 | 16 |
| 10 | 2621 | 16 |
| 11 | 2676 | 16 |
| 12 | 2677 | 16 |
| 13 | 2677 | 16 |
| 0 | 2677 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
Compiled 20 to 12 computations (40% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 20 to 12 computations (40% 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 | 0.22673591452874398 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| accuracy | 0.26953125 | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | |
| accuracy | 0.371757519536884 | (/.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 | 29.89258728125227 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 26.0ms | 159× | 0 | valid |
| 25.0ms | 97× | 1 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-add: 14.0ms (45% of total)ival-mult: 6.0ms (19.3% of total)ival-sqrt: 4.0ms (12.8% of total)adjust: 2.0ms (6.4% of total)ival-div: 2.0ms (6.4% of total)ival-sub: 2.0ms (6.4% of total)ival-neg: 1.0ms (3.2% 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 | |
|---|---|---|---|---|
| 4.0ms | 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)) |
| 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)) |
| 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 (*.f64 a a) (*.f64 (*.f64 b b) b)) (*.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 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) 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 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) 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 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.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 (*.f64 (*.f64 b b) b)) #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 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #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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(pow b 2) |
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(*.f64 (neg.f64 b) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/8 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/8 binary64) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 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 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) 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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -27/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) 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 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) 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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) 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 (*.f64 (*.f64 a a) a) 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 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (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 (*.f64 (*.f64 a a) a) 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 (*.f64 (*.f64 a a) a) 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 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) 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 (*.f64 (*.f64 c c) a) c))) (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 (*.f64 (*.f64 c c) a) c))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a))) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
| 4 876× | lower-fma.f64 |
| 4 876× | lower-fma.f32 |
| 3 870× | lower-*.f32 |
| 3 864× | lower-*.f64 |
| 2 328× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 46 |
| 0 | 20 | 46 |
| 1 | 71 | 44 |
| 2 | 525 | 43 |
| 3 | 6836 | 43 |
| 0 | 8125 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (-.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b)) b (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) (fma.f64 (*.f64 (*.f64 b b) b) b (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 b b))))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(*.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
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(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (*.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal 9 binary64)) c) a (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal 9 binary64)) c) a (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a) (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal 9 binary64)) c) a (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a) (fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b)))) |
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)) (neg.f64 a)) |
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) |
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 (*.f64 #s(literal -3 binary64) a) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(/.f64 (fma.f64 (*.f64 b b) b (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (neg.f64 (neg.f64 a))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)))) |
(neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) b (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (/.f64 #s(literal 1/3 binary64) a))) |
(fma.f64 b (/.f64 #s(literal 1/3 binary64) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 3 binary64))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 b (/.f64 #s(literal 1/3 binary64) a))) |
(+.f64 (*.f64 b (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 #s(literal 1 binary64) b) |
(*.f64 (*.f64 (*.f64 b b) b) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b #s(literal -1 binary64)) |
(*.f64 b #s(literal 1 binary64)) |
(pow.f64 b #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) |
(/.f64 (*.f64 (*.f64 b b) b) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) |
(/.f64 (*.f64 b b) b) |
(neg.f64 b) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 b b) b) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64)) |
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) b) b) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b) |
(-.f64 #s(literal 0 binary64) b) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) b) |
(+.f64 b #s(literal 0 binary64)) |
b |
(*.f64 (*.f64 c #s(literal 3 binary64)) a) |
(*.f64 (*.f64 c a) #s(literal 3 binary64)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 (*.f64 a #s(literal 3 binary64)) c) |
(*.f64 a (*.f64 c #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
Compiled 20 413 to 1 847 computations (91% saved)
44 alts after pruning (44 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 510 | 44 | 554 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 511 | 44 | 555 |
| Status | Accuracy | Program |
|---|---|---|
| 52.2% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.0% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) 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)) | |
| 51.8% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.0% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 c a)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) b))) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) b) b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 53.2% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| ▶ | 53.2% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) |
| 53.2% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 53.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal 9 binary64)) a) (/.f64 c (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.2% | (/.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)) | |
| 53.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.2% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 53.2% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) |
| 53.2% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) | |
| 92.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.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)))) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 89.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) c) c) c) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64)))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 92.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 89.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 89.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 83.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 82.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 66.4% | (/.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)) | |
| 53.2% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 53.2% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 53.2% | (/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) | |
| 53.2% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -3 binary64) a))) | |
| 52.3% | (-.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)))) | |
| 53.2% | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal 3 binary64)) a))) | |
| 53.2% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| ▶ | 53.2% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
| 53.2% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 52.6% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) | |
| 92.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (*.f64 (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 89.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 83.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) | |
| 83.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| ▶ | 92.8% | #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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) b)) |
| 89.8% | #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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c))) b)) | |
| 92.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 89.7% | #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 (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ▶ | 66.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| 11.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
Compiled 3 080 to 1 616 computations (47.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 192 | (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) | |
| cost-diff | 320 | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) | |
| cost-diff | 7168 | (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) a) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)) | |
| cost-diff | 1088 | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) a) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 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)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) b)) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)) | |
| cost-diff | 320 | (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c))) | |
| cost-diff | 640 | (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) |
| 4 944× | lower-fma.f32 |
| 4 932× | lower-fma.f64 |
| 4 724× | lower-*.f32 |
| 4 684× | lower-*.f64 |
| 1 742× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 791 |
| 0 | 115 | 693 |
| 1 | 216 | 676 |
| 2 | 566 | 664 |
| 3 | 2016 | 661 |
| 4 | 4526 | 661 |
| 0 | 8164 | 649 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) b)) |
(/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) b) |
(fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) |
(*.f64 #s(literal -9/16 binary64) (*.f64 a a)) |
#s(literal -9/16 binary64) |
(*.f64 a a) |
a |
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 c c) |
c |
(/.f64 c (pow.f64 b #s(literal 4 binary64))) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c))) |
(*.f64 #s(literal -3/8 binary64) a) |
#s(literal -3/8 binary64) |
(*.f64 c (/.f64 c (*.f64 b b))) |
(/.f64 c (*.f64 b b)) |
(*.f64 b b) |
(fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
(pow.f64 a #s(literal 4 binary64)) |
(/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a)) |
#s(literal 405/64 binary64) |
(*.f64 (pow.f64 b #s(literal 6 binary64)) a) |
(pow.f64 b #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(literal -1/6 binary64) |
(*.f64 #s(literal -1/2 binary64) c) |
#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 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
#s(literal 1/3 binary64) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
#s(literal -1 binary64) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
#s(literal 3 binary64) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
b |
(*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
| Outputs |
|---|
#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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 c (fma.f64 a (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) c) (*.f64 #s(literal -9/16 binary64) a))) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) b)) |
(/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) b) |
(/.f64 (fma.f64 c (fma.f64 a (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) c) (*.f64 #s(literal -9/16 binary64) a))) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) b) |
(fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) |
(fma.f64 c (fma.f64 a (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/8 binary64) (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) c) (*.f64 #s(literal -9/16 binary64) a))) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) |
(*.f64 #s(literal -9/16 binary64) (*.f64 a a)) |
(*.f64 (*.f64 a a) #s(literal -9/16 binary64)) |
#s(literal -9/16 binary64) |
(*.f64 a a) |
a |
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) c) c) |
(*.f64 c c) |
c |
(/.f64 c (pow.f64 b #s(literal 4 binary64))) |
(pow.f64 b #s(literal 4 binary64)) |
b |
#s(literal 4 binary64) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) |
(*.f64 #s(literal -3/8 binary64) a) |
#s(literal -3/8 binary64) |
(*.f64 c (/.f64 c (*.f64 b b))) |
(*.f64 (/.f64 c (*.f64 b b)) c) |
(/.f64 c (*.f64 b b)) |
(*.f64 b b) |
(fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)) |
(fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) |
(*.f64 (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
(pow.f64 a #s(literal 4 binary64)) |
(/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a)) |
#s(literal 405/64 binary64) |
(*.f64 (pow.f64 b #s(literal 6 binary64)) a) |
(pow.f64 b #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(literal -1/6 binary64) |
(*.f64 #s(literal -1/2 binary64) c) |
#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 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) a)) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
#s(literal 1/3 binary64) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) a)) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)) |
(/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
#s(literal -1 binary64) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
#s(literal 3 binary64) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) a)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(*.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) |
b |
(*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.36166000976844204 | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) | |
| accuracy | 0.371757519536884 | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 29.89258728125227 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 29.89258728125227 | (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) | |
| accuracy | 0.24047750946961358 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.31640625 | (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| accuracy | 0.33203125 | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) | |
| accuracy | 29.89258728125227 | (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) | |
| accuracy | 0.24047750946961358 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.32259750976844204 | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| accuracy | 0.41796875 | (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 29.89258728125227 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 0 | (/.f64 c b) | |
| accuracy | 0 | (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) | |
| accuracy | 21.429382871463275 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| accuracy | 0.37109375 | (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) | |
| accuracy | 0.38671875 | (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) | |
| accuracy | 0.39291000976844204 | (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) | |
| accuracy | 4.431994622701844 | #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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) b)) |
| 86.0ms | 160× | 0 | valid |
| 82.0ms | 96× | 1 | valid |
Compiled 789 to 70 computations (91.1% saved)
ival-mult: 51.0ms (41.1% of total)ival-div: 22.0ms (17.7% of total)ival-pow: 10.0ms (8.1% of total)ival-add: 10.0ms (8.1% of total)adjust: 9.0ms (7.2% of total)ival-sqrt: 8.0ms (6.4% of total)const: 7.0ms (5.6% of total)ival-sub: 5.0ms (4% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c))) (patch (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ()) |
#s(alt #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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) b)) (patch #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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) b)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (patch (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) (patch (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (patch (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (patch (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (patch (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) (patch (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/2 c) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) (patch (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | b | @ | inf | ((+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)) (/ (+ (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) (* (/ 1 a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ 1 a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))))) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))))))) (* 3 a)) (* (* c c) (/ c (pow b 4))) (* (pow c 4) (pow a 4)) (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) (+ (* (* -3 c) a) (* b b)) (- b (sqrt (+ (* (* -3 c) a) (* b b))))) |
| 14.0ms | c | @ | inf | ((+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)) (/ (+ (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) (* (/ 1 a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ 1 a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))))) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))))))) (* 3 a)) (* (* c c) (/ c (pow b 4))) (* (pow c 4) (pow a 4)) (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) (+ (* (* -3 c) a) (* b b)) (- b (sqrt (+ (* (* -3 c) a) (* b b))))) |
| 13.0ms | c | @ | -inf | ((+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)) (/ (+ (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) (* (/ 1 a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ 1 a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))))) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))))))) (* 3 a)) (* (* c c) (/ c (pow b 4))) (* (pow c 4) (pow a 4)) (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) (+ (* (* -3 c) a) (* b b)) (- b (sqrt (+ (* (* -3 c) a) (* b b))))) |
| 13.0ms | b | @ | 0 | ((+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)) (/ (+ (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) (* (/ 1 a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ 1 a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))))) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))))))) (* 3 a)) (* (* c c) (/ c (pow b 4))) (* (pow c 4) (pow a 4)) (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) (+ (* (* -3 c) a) (* b b)) (- b (sqrt (+ (* (* -3 c) a) (* b b))))) |
| 11.0ms | c | @ | 0 | ((+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)) (/ (+ (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) (* (/ 1 a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b))) (/ 1 a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))))) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))) (/ (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))))))) (* 3 a)) (* (* c c) (/ c (pow b 4))) (* (pow c 4) (pow a 4)) (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) (+ (* (* -3 c) a) (* b b)) (- b (sqrt (+ (* (* -3 c) a) (* b b))))) |
| 1× | egg-herbie |
| 6 330× | lower-*.f64 |
| 6 330× | lower-*.f32 |
| 4 358× | lower-fma.f64 |
| 4 358× | lower-fma.f32 |
| 3 748× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2041 | 21126 |
| 1 | 5893 | 20658 |
| 0 | 8280 | 19956 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2)) |
(* -1/2 c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(* -1/2 c) |
(* c (- (* -135/128 (/ (* (pow a 3) (pow c 3)) (pow b 6))) 1/2)) |
(* c (- (* -135/128 (/ (* (pow a 3) (pow c 3)) (pow b 6))) 1/2)) |
(* c (- (* -135/128 (/ (* (pow a 3) (pow c 3)) (pow b 6))) 1/2)) |
(* -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 (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* -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)))))))) |
(* -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)))) |
(* -2 (/ b (* a c))) |
(/ (+ (* -2 (/ b a)) (* 3/2 (/ c b))) c) |
(/ (+ (* -2 (/ b a)) (* c (+ (* -1 (* c (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c) |
(/ (+ (* -2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c) |
(* -2/3 (/ b (* a c))) |
(/ (+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) c) |
(/ (+ (* -2/3 (/ b a)) (* c (+ (* -1 (* c (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(/ (+ (* -2/3 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (+ (* -3/4 (/ a (pow b 3))) (* 3/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b))))) c) |
(* -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) (pow b 3))) |
(* c (+ (* -3/2 (/ a (pow b 3))) (* c (- (* -9/8 (/ (pow a 2) (pow b 5))) (* -3/2 (/ (* a (+ (* -3 a) (* 3/2 a))) (pow b 5))))))) |
(* c (+ (* -3/2 (/ a (pow b 3))) (* c (- (+ (* -9/8 (/ (pow a 2) (pow b 5))) (* -1 (/ (* c (* (+ (* -3 a) (* 3/2 a)) (- (* -9/8 (/ (pow a 2) (pow b 5))) (* -3/2 (/ (* a (+ (* -3 a) (* 3/2 a))) (pow b 5)))))) (pow b 2)))) (* -3/2 (/ (* a (+ (* -3 a) (* 3/2 a))) (pow b 5))))))) |
(* c (+ (* -3/2 (/ a (pow b 3))) (* c (- (+ (* -9/8 (/ (pow a 2) (pow b 5))) (* c (- (* c (- (* -1/2 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) (pow b 3))) (+ (* -81/32 (/ (pow a 4) (pow b 9))) (+ (* -1 (/ (* (pow (+ (* -3 a) (* 3/2 a)) 2) (- (* -9/8 (/ (pow a 2) (pow b 5))) (* -3/2 (/ (* a (+ (* -3 a) (* 3/2 a))) (pow b 5))))) (pow b 4))) (* 9/8 (/ (* (pow a 2) (- (* -9/8 (/ (pow a 2) (pow b 5))) (* -3/2 (/ (* a (+ (* -3 a) (* 3/2 a))) (pow b 5))))) (pow b 4))))))) (/ (* (+ (* -3 a) (* 3/2 a)) (- (* -9/8 (/ (pow a 2) (pow b 5))) (* -3/2 (/ (* a (+ (* -3 a) (* 3/2 a))) (pow b 5))))) (pow b 2))))) (* -3/2 (/ (* a (+ (* -3 a) (* 3/2 a))) (pow b 5))))))) |
(pow b 2) |
(+ (* 3/2 (* a c)) (pow b 2)) |
(+ (* c (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a))) (pow b 2)) |
(+ (* c (+ (* 3/2 a) (* c (+ (* 9/8 (/ (pow a 2) (pow b 2))) (* 27/16 (/ (* (pow a 3) c) (pow b 4))))))) (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)))) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* 3/2 (/ (* a c) b)) |
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (+ (* -9/16 (/ (pow a 2) (* (pow b 4) c))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) (* 1/2 (/ 1 (pow c 3))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))) (/ 1/2 (pow c 3)))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))) (/ 1/2 (pow c 3)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (- (* -135/128 (/ (pow a 3) (pow b 6))) (* 1/2 (/ 1 (pow c 3))))) |
(* (pow c 4) (- (* -135/128 (/ (pow a 3) (pow b 6))) (* 1/2 (/ 1 (pow c 3))))) |
(* (pow c 4) (- (* -135/128 (/ (pow a 3) (pow b 6))) (* 1/2 (/ 1 (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))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* 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))) |
(* 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 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(/ (+ (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* 3 (/ b (* a (pow (sqrt -3) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (* -3 (/ b (* a (pow (sqrt -3) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* 3/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -3 (/ b (* a (pow (sqrt -3) 2)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) |
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -3))) (/ b (* a (pow (sqrt -3) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ b (* a (pow (sqrt -3) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) 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))) |
(* (sqrt (/ a c)) (/ (sqrt -3) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))))) |
(- (+ (* -1 (/ b (* c (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (* (sqrt (/ a c)) (/ (sqrt -3) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (* 2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2))))) |
(- (+ (* -1 (/ b (* c (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (* (sqrt -3) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (* (sqrt (/ a c)) (/ (sqrt -3) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (+ (* -1/2 (/ (pow b 3) (* (pow c 2) (pow (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))) (+ (* 2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))))) (* 2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))))) (* (pow c 2) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))))))))) |
(- (+ (* -1 (/ b (* c (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (- (* -1 (/ b (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))))) (* 2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))))) (* (sqrt -3) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c a)) (/ (pow b 2) (* (sqrt -3) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))))) (* 2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))))) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))))))) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (* (sqrt -3) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))))))) (* (sqrt (/ a c)) (/ (sqrt -3) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))))))))) (+ (* -1/2 (/ (pow b 3) (* (pow c 2) (pow (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))) (+ (* 2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))))) (* 2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))) 2)))))) (* (pow c 2) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))))))))) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -3)))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (* 2 (/ (pow b 2) c)))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (* 2 (/ (pow b 2) c))))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (* 2 (/ (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))))))) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -3 (* a c)) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -9/16 (/ (pow a 2) (* (pow b 4) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))) c)) (* 9/16 (/ (pow a 2) (pow b 4)))) c)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2)))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))) (/ 1/2 (pow c 3)))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 6))) (* -3/8 (/ a (* (pow b 2) (pow c 2))))) (/ 1/2 (pow c 3)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow c 4) (- (* -135/128 (/ (pow a 3) (pow b 6))) (* 1/2 (/ 1 (pow c 3))))) |
(* (pow c 4) (- (* -135/128 (/ (pow a 3) (pow b 6))) (* 1/2 (/ 1 (pow c 3))))) |
(* (pow c 4) (- (* -135/128 (/ (pow a 3) (pow b 6))) (* 1/2 (/ 1 (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))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1/3 (* (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)))))) |
(* -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 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* a (pow (sqrt 3) 2))))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) c)) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))) (/ b (* a (pow (sqrt 3) 2)))) c)) |
(* -1 (/ (+ (* -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))))) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4)))) (* (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 (* (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)) (/ (* b c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) 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)))))) |
(* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))) |
(+ (* -1 (/ (- (* -1 (/ b (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))) (* 2 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) 2))))) c)) (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a))))) |
(+ (* -1 (/ (- (+ (* -1 (/ b (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))) (* -1 (/ (- (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (* (sqrt 3) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))) (* 2 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) 2)))))) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))))) c))) (* 2 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) 2))))) c)) (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a))))) |
(+ (* -1 (/ (- (+ (* -1 (/ b (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (* (sqrt -1) (- (* -1 (/ b (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))) (* 2 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) 2))))))) (* (sqrt 3) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))))) (+ (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (* (sqrt 3) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (* (sqrt 3) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))) (* 2 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) 2)))))) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a))))))) (* c (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a))))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))) (* 2 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) 2)))))) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)))))) c))) (* 2 (* (sqrt (/ a c)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a)) 2))))) c)) (* (sqrt (/ a c)) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 a))))) |
(* (sqrt (* a c)) (* b (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2 (pow b 2))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* b (* (sqrt -1) (sqrt 3))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 2 (pow b 2))) c))))) |
(* -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))))))) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -3 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 6)) |
(/ (+ (* -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 6)) |
(/ (+ (* -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 6)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -3/8 (* a (* (pow b 4) (pow c 2))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 4) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 4) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 6)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow b 6) c))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow b 6) c))) (pow b 6)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow b 6) c))) (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))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* 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))) |
(* 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 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 3 (/ b (* a (* c (pow (sqrt -3) 2)))))) |
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (+ (* -1 (* b (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* a (* c (pow (sqrt -3) 2)))))))) |
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (+ (* b (- (* -1 (* b (+ (* 3/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* a (* c (pow (sqrt -3) 2)))))))) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) |
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) (/ b (* a (* c (pow (sqrt -3) 2))))) |
(+ (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(+ (* b (+ (* b (- (* -1 (* b (+ (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* b (- (* 1/3 (/ 1 (* a c))) (* -1/9 (/ (pow (sqrt -3) 2) (* a c)))))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* b (- (+ (* 1/3 (/ 1 (* a c))) (* b (- (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -3)))) (+ (* 2/9 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -3))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (- (* 1/3 (/ 1 (* a c))) (* -1/9 (/ (pow (sqrt -3) 2) (* a c))))))))))) (* -1/9 (/ (pow (sqrt -3) 2) (* a c)))))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* b (- (+ (* 1/3 (/ 1 (* a c))) (* b (- (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -3)))) (* b (- (* 1/18 (/ 1 (* (pow a 2) (pow c 2)))) (+ (* -2/3 (/ (- (* 1/3 (/ 1 (* a c))) (* -1/9 (/ (pow (sqrt -3) 2) (* a c)))) (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (- (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -3)))) (+ (* 2/9 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -3))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (- (* 1/3 (/ 1 (* a c))) (* -1/9 (/ (pow (sqrt -3) 2) (* a c)))))))))))))))) (+ (* 2/9 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -3))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (- (* 1/3 (/ 1 (* a c))) (* -1/9 (/ (pow (sqrt -3) 2) (* a c))))))))))) (* -1/9 (/ (pow (sqrt -3) 2) (* a c)))))) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -3)))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -3))) (* 2 b))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 2 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))))))) |
(* 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 c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -3 (* a c)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(- b (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -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)))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* -1/2 c) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -1/2 c)) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -1/2 c)) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -1/2 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) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -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) |
(* -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) |
(* -2 (/ b (* a c))) |
(* b (- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -9/4 (* a c)) (* 9/8 (* a c))) (pow b 4))) (* 3/2 (/ 1 (pow b 2)))) (* 2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -9/4 (* a c)) (* 9/8 (* a c)))))) (+ (* -2/3 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 27/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 3/2 (/ 1 (pow b 2)))) (+ (* -9/4 (/ (* a c) (pow b 4))) (+ (* 9/8 (/ (* a c) (pow b 4))) (* 2 (/ 1 (* a c))))))) |
(* -2/3 (/ b (* a c))) |
(* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a c)) (* 3/8 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 2/3 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* a c)) (* 3/8 (* a c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 9/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -3/4 (/ (* a c) (pow b 4))) (+ (* 3/8 (/ (* a c) (pow b 4))) (* 2/3 (/ 1 (* a c))))))) |
(* -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) (pow b 3))) |
(/ (- (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (* -3/2 (/ (* a (* c (- (* -3 (* a c)) (* -3/2 (* a c))))) (pow b 2)))) (pow b 3)) |
(/ (- (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1 (/ (* (- (* -3 (* a c)) (* -3/2 (* a c))) (- (* -9/8 (* (pow a 2) (pow c 2))) (* -3/2 (* a (* c (- (* -3 (* a c)) (* -3/2 (* a c)))))))) (pow b 4))))) (* -3/2 (/ (* a (* c (- (* -3 (* a c)) (* -3/2 (* a c))))) (pow b 2)))) (pow b 3)) |
(/ (- (+ (* -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))))) (+ (* -81/32 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (+ (* -3/2 (/ (* a (* c (- (* -3 (* a c)) (* -3/2 (* a c))))) (pow b 2))) (+ (* -1 (/ (* (pow (- (* -3 (* a c)) (* -3/2 (* a c))) 2) (- (* -9/8 (* (pow a 2) (pow c 2))) (* -3/2 (* a (* c (- (* -3 (* a c)) (* -3/2 (* a c)))))))) (pow b 6))) (+ (* 9/8 (/ (* (pow a 2) (* (pow c 2) (- (* -9/8 (* (pow a 2) (pow c 2))) (* -3/2 (* a (* c (- (* -3 (* a c)) (* -3/2 (* a c))))))))) (pow b 6))) (/ (* (- (* -3 (* a c)) (* -3/2 (* a c))) (- (* -9/8 (* (pow a 2) (pow c 2))) (* -3/2 (* a (* c (- (* -3 (* a c)) (* -3/2 (* a c)))))))) (pow b 4))))))) (pow b 3)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 3/2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -3/2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* 3/2 (/ (* a c) b)) |
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b) |
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -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)))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* -1/2 c) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -1/2 c)) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -1/2 c)) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -1/2 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))))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2/3 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)))))))) |
(* -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))))))) |
(/ -3/2 b) |
(* -1 (/ (+ 3/2 (* 9/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 3/2 (* 27/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -9/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 3/2 (* -1 (/ (+ (* -81/32 (* (pow a 3) (pow c 3))) (* -81/128 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -27/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -9/8 (/ (* a c) (pow b 2))))) b)) |
(/ -1/2 b) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (+ (* -27/32 (* (pow a 3) (pow c 3))) (* -27/128 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 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)))))))) |
(/ -2/3 b) |
(* -1 (/ (- (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) (* 2/9 (/ (+ (* -3 (* a c)) (* -3/2 (* a c))) (pow b 2)))) b)) |
(* -1 (/ (- (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) (+ (* -1/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 2/9 (/ (+ (* -3 (* a c)) (* -3/2 (* a c))) (pow b 2))) (* 1/3 (/ (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* -1/2 (* a c)) (* 2/9 (+ (* -3 (* a c)) (* -3/2 (* a c)))))) (pow b 4)))))) b)) |
(* -1 (/ (- (+ 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)))))) (+ (* -3/8 (/ (* (pow a 2) (* (pow c 2) (- (* -1/2 (* a c)) (* 2/9 (+ (* -3 (* a c)) (* -3/2 (* a c))))))) (pow b 6))) (+ (* -3/8 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 2/9 (/ (+ (* -3 (* a c)) (* -3/2 (* a c))) (pow b 2))) (+ (* 1/3 (/ (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* -1/2 (* a c)) (* 2/9 (+ (* -3 (* a c)) (* -3/2 (* a c)))))) (pow b 4))) (* 1/3 (/ (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* -3/8 (* (pow a 2) (pow c 2))) (+ (* -1/4 (* (pow a 2) (pow c 2))) (* 1/3 (* (+ (* -3 (* a c)) (* -3/2 (* a c))) (- (* -1/2 (* a c)) (* 2/9 (+ (* -3 (* a c)) (* -3/2 (* a c)))))))))) (pow b 6))))))))) b)) |
(* 3 (pow b 2)) |
(* (pow b 2) (+ 3 (* -3/2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 2) (+ 3 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(/ (pow c 3) (pow b 4)) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* 2 b) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 4))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(+ (* -1/2 c) (* a (+ (* -3/8 (/ (pow c 2) (pow b 2))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 6))) (* -9/16 (/ (pow c 3) (pow b 4)))))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(+ (* -1/2 c) (* a (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 6))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(+ (* -1/2 c) (* a (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 6))) (* -3/8 (/ (pow c 2) (pow b 2)))))) |
(* -1/2 c) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -1/2 c)) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -1/2 c)) |
(+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -1/2 c)) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(* -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)))))))) |
(* -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))))))) |
(* -2 (/ b (* a c))) |
(/ (+ (* -2 (/ b c)) (* 3/2 (/ a b))) a) |
(/ (+ (* -2 (/ b c)) (* a (+ (* -1 (* a (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3)))))) (* 3/2 (/ 1 b))))) a) |
(/ (+ (* -2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 27/16 (/ (pow c 2) (pow b 5))))))) (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3)))))) (* 3/2 (/ 1 b))))) a) |
(* -2/3 (/ b (* a c))) |
(/ (+ (* -2/3 (/ b c)) (* 1/2 (/ a b))) a) |
(/ (+ (* -2/3 (/ b c)) (* a (+ (* -1 (* a (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(/ (+ (* -2/3 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 9/16 (/ (pow c 2) (pow b 5))))))) (+ (* -3/4 (/ c (pow b 3))) (* 3/8 (/ c (pow b 3)))))) (* 1/2 (/ 1 b))))) a) |
(* -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) (pow b 3))) |
(* a (+ (* -3/2 (/ c (pow b 3))) (* a (- (* -9/8 (/ (pow c 2) (pow b 5))) (* -3/2 (/ (* c (+ (* -3 c) (* 3/2 c))) (pow b 5))))))) |
(* a (+ (* -3/2 (/ c (pow b 3))) (* a (- (+ (* -9/8 (/ (pow c 2) (pow b 5))) (* -1 (/ (* a (* (+ (* -3 c) (* 3/2 c)) (- (* -9/8 (/ (pow c 2) (pow b 5))) (* -3/2 (/ (* c (+ (* -3 c) (* 3/2 c))) (pow b 5)))))) (pow b 2)))) (* -3/2 (/ (* c (+ (* -3 c) (* 3/2 c))) (pow b 5))))))) |
(* a (+ (* -3/2 (/ c (pow b 3))) (* a (- (+ (* -9/8 (/ (pow c 2) (pow b 5))) (* a (- (* a (- (* -1/2 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) (pow b 3))) (+ (* -81/32 (/ (pow c 4) (pow b 9))) (+ (* -1 (/ (* (pow (+ (* -3 c) (* 3/2 c)) 2) (- (* -9/8 (/ (pow c 2) (pow b 5))) (* -3/2 (/ (* c (+ (* -3 c) (* 3/2 c))) (pow b 5))))) (pow b 4))) (* 9/8 (/ (* (pow c 2) (- (* -9/8 (/ (pow c 2) (pow b 5))) (* -3/2 (/ (* c (+ (* -3 c) (* 3/2 c))) (pow b 5))))) (pow b 4))))))) (/ (* (+ (* -3 c) (* 3/2 c)) (- (* -9/8 (/ (pow c 2) (pow b 5))) (* -3/2 (/ (* c (+ (* -3 c) (* 3/2 c))) (pow b 5))))) (pow b 2))))) (* -3/2 (/ (* c (+ (* -3 c) (* 3/2 c))) (pow b 5))))))) |
(pow b 2) |
(+ (* 3/2 (* a c)) (pow b 2)) |
(+ (* a (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c))) (pow b 2)) |
(+ (* a (+ (* 3/2 c) (* a (+ (* 9/8 (/ (pow c 2) (pow b 2))) (* 27/16 (/ (* a (pow c 3)) (pow b 4))))))) (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))))))) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -3 (* a c)) (pow b 2)) |
(* 3/2 (/ (* a c) b)) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -9/16 (/ (pow c 3) (* a (pow b 4)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 4)))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (+ (* -1/2 (/ c (pow a 3))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 2))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -1/2 (/ c (pow a 3))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -1/2 (/ c (pow a 3))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 6))) (* -1/2 (/ c (pow a 3))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* 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 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(* 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))) |
(* 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 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(/ (+ (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (* c (pow (sqrt -3) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (* -3 (/ b (* c (pow (sqrt -3) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* 3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -3 (/ b (* c (pow (sqrt -3) 2)))) (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) a) |
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))) |
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -3))) (/ b (* c (pow (sqrt -3) 2)))) a) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* -1 (/ b (* c (pow (sqrt -3) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) a) |
(* (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 (/ c a)) (/ (sqrt -3) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))) |
(- (+ (* -1 (/ b (* a (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (* (sqrt (/ c a)) (/ (sqrt -3) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (* 2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2))))) |
(- (+ (* -1 (/ b (* a (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (* (sqrt -3) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (* (sqrt (/ c a)) (/ (sqrt -3) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (+ (* -1/2 (/ (pow b 3) (* (pow a 2) (pow (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2)))) (+ (* 2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2)))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2)))))) (* (pow a 2) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))))))) |
(- (+ (* -1 (/ b (* a (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (- (* -1 (/ b (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2)))))) (* (sqrt -3) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (/ (pow b 2) (* (sqrt -3) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2)))))) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))))))))) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (* (sqrt -3) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))))) (* (sqrt (/ c a)) (/ (sqrt -3) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))))))))) (+ (* -1/2 (/ (pow b 3) (* (pow a 2) (pow (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2)))) (+ (* 2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2)))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -3)) (pow (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))) 2)))))) (* (pow a 2) (+ (* -3 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -3))))))))))) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -3)))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))) (* 2 (/ (pow b 2) a)))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (* 2 (/ (pow b 2) a))))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -3) 3)))) (* 2 (/ (pow b 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)))))) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 4)))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 4))) (* -3/8 (/ (pow c 2) (* a (pow b 2))))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))) a)) (* -9/16 (/ (pow c 3) (pow b 4)))) a)) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -1 (* (pow a 3) (+ (* 3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* 3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ c (pow a 3))) (* 135/128 (/ (pow c 4) (pow b 6))))))) |
(* -1 (* (pow a 3) (+ (* 3/8 (/ (pow c 2) (* (pow a 2) (pow b 2)))) (+ (* 1/2 (/ c (pow a 3))) (* 135/128 (/ (pow c 4) (pow b 6))))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -1 (* (pow a 3) (+ (* 1/2 (/ c (pow a 3))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* 1/2 (/ c (pow a 3))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1 (* (pow a 3) (+ (* 1/2 (/ c (pow a 3))) (* 135/128 (/ (pow c 4) (pow b 6)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(* -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)))))) |
(* -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 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* c (pow (sqrt 3) 2))))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) a)) |
(* -1 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))) (/ b (* c (pow (sqrt 3) 2)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (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)) (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) a)) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* (sqrt (/ c a)) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) |
(+ (* -1 (/ (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))))) a)) (* (sqrt (/ c a)) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))) |
(+ (* -1 (/ (- (+ (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* -1 (/ (- (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (* (sqrt 3) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2)))))) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) a))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))))) a)) (* (sqrt (/ c a)) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))) |
(+ (* -1 (/ (- (+ (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (* (sqrt -1) (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))))))) (* (sqrt 3) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) (+ (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (* (sqrt 3) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (* (sqrt 3) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2)))))) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))))) (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))))) (+ (* -1/2 (/ (pow b 3) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))) (* 2 (/ (* (pow b 2) (- (* -1 (/ b (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2)))))) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)))))) a))) (* 2 (* (sqrt (/ c a)) (/ (* (pow b 2) (* (sqrt -1) (sqrt 3))) (pow (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c)) 2))))) a)) (* (sqrt (/ c a)) (/ (* (sqrt -1) (sqrt 3)) (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* 3 c))))) |
(* (sqrt (* a c)) (* b (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2 (pow b 2))) a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 2 (pow b 2))) a))))) |
(* -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))))) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* (pow a 4) (pow c 4)) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(* -3 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
| Outputs |
|---|
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 4))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) #s(literal -1/2 binary64))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 2))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 6))) (* -9/16 (/ (pow a 2) (pow b 4))))))) 1/2)) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) #s(literal -1/2 binary64))) |
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64))) |
(* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) #s(literal -1/2 binary64))) |
(* c (- (* c (+ (* -135/128 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (* -3/8 (/ a (pow b 2))))) 1/2)) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) #s(literal -1/2 binary64))) |
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(* c (- (* -135/128 (/ (* (pow a 3) (pow c 3)) (pow b 6))) 1/2)) |
(*.f64 c (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64))) |
(* c (- (* -135/128 (/ (* (pow a 3) (pow c 3)) (pow b 6))) 1/2)) |
(*.f64 c (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64))) |
(* c (- (* -135/128 (/ (* (pow a 3) (pow c 3)) (pow b 6))) 1/2)) |
(*.f64 c (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64))) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* -1/2 (/ (* a c) b)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b))) |
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -1/2 binary64) (/.f64 a b)))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -1/2 binary64) (/.f64 a b)))) |
(* 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)))))))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -1/2 binary64) (/.f64 a b)))) |
(* -3/2 (/ (* a c) b)) |
(*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 c (fma.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 a a) (/.f64 c (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))) |
(* 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)))))))) |
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(* -3/2 (/ (* a c) b)) |
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(pow b 2) |
(*.f64 b b) |
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(* -1/2 (/ c b)) |
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(/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
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(/ (pow c 3) (pow b 4)) |
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(pow b 2) |
(*.f64 b b) |
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(+ (* -3 (* a c)) (pow b 2)) |
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(* 3/2 (/ (* a c) b)) |
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(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
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(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
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(* (sqrt (* a c)) (sqrt -3)) |
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(* (sqrt (/ a c)) (/ (sqrt -3) (+ (* -3 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -3))))))) |
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(* -1 (* (sqrt (* a c)) (* b (sqrt -3)))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (*.f64 b (sqrt.f64 #s(literal -3 binary64))))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -3)))) (* 2 (/ (pow b 2) c)))) |
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
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(/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 4 binary64))) |
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(/.f64 (*.f64 (*.f64 c c) c) (pow.f64 b #s(literal 4 binary64))) |
(/ (pow c 3) (pow b 4)) |
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(/.f64 c a)) b) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) c)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) c)))))) (*.f64 a (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) c))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) c)))))) (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) (/.f64 (-.f64 (/.f64 (neg.f64 b) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) c))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) c)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) c)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) c)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) b)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) c)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) c))))))) a)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) c)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) c)))))) a)) |
(* (sqrt (* a c)) (* b (* (sqrt -1) (sqrt 3)))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 b b) a)))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 2 (pow b 2))) a))))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 (*.f64 b b) b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 b b))) a)))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* b (* (sqrt -1) (sqrt 3))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 2 (pow b 2))) a))))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 (*.f64 b b) b) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))))) a)) a)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.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))))) |
(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) b)) 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))))) |
(-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) b) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))))) a)) a)) |
(* (pow a 4) (pow c 4)) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) |
(* (pow a 4) (pow c 4)) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) |
(* (pow a 4) (pow c 4)) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) |
(* (pow a 4) (pow c 4)) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))) |
(* 405/64 (/ (* (pow a 3) (pow c 4)) (pow b 6))) |
(*.f64 #s(literal 405/64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64)))) |
(* -3 (* a c)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 3 binary64) c (neg.f64 (/.f64 (*.f64 b b) a)))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) b)) a) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) a))) a) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) |
| 6 536× | lower-*.f32 |
| 6 496× | lower-*.f64 |
| 5 820× | lower-fma.f32 |
| 5 808× | lower-fma.f64 |
| 3 400× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 504 |
| 0 | 115 | 394 |
| 1 | 425 | 374 |
| 2 | 3377 | 368 |
| 0 | 9423 | 364 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) 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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(literal 1 binary64) a) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) (-.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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) |
(*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 (*.f64 a a) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b)))) #s(literal 81/256 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/2 binary64) c))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b))) (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/2 binary64) c)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) c) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) c)) (pow.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/2 binary64) c))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 (*.f64 a a) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b)))) #s(literal 81/256 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/2 binary64) c))) (-.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b)))))))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b))) (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/2 binary64) c)))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 (*.f64 a a) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b)))) #s(literal 81/256 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/2 binary64) c))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 (*.f64 a a) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b)))) #s(literal 81/256 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/2 binary64) c))) (-.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b)))))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) c) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) c)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) c)) (pow.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/2 binary64) c))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 (*.f64 a a) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b)))) #s(literal 81/256 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) a) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) a)) #s(literal 9/64 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 c c)) (*.f64 (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c))))))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a)) (-.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)))))) |
(/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 (*.f64 a a) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b)))) #s(literal 81/256 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) a) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) a)) #s(literal 9/64 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal 1/2 binary64) c))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a)) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/2 binary64) c)) (fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal 1/2 binary64) c)))))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a)) (neg.f64 (fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal 1/2 binary64) c))))) |
(/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 (*.f64 a a) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b)))) #s(literal 81/256 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) a) (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) a)) #s(literal 9/64 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c))) (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 #s(literal -1/2 binary64) c) (-.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c))))))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a)) (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 c c) c) (pow.f64 (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c))) #s(literal 3 binary64)))))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a)) (neg.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c))) (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 #s(literal -1/2 binary64) c) (-.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c))))))))) |
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 9 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (/.f64 (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 a a) a)) (*.f64 (*.f64 c c) c)) (fma.f64 (*.f64 (*.f64 b b) b) b (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) #s(literal 9 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 b) b)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fabs.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.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)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) c) a) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal -3 binary64) c) a)) |
(*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (-.f64 b (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (fma.f64 b b (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(-.f64 (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 (*.f64 (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 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(-.f64 (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) |
(+.f64 b (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
Compiled 203 491 to 8 099 computations (96% saved)
85 alts after pruning (82 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 547 | 65 | 2 612 |
| Fresh | 22 | 17 | 39 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 571 | 85 | 2 656 |
| Status | Accuracy | Program |
|---|---|---|
| 53.3% | (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) | |
| 53.6% | (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 52.4% | (/.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)) | |
| ▶ | 52.8% | (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.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)) |
| 53.0% | (/.f64 (/.f64 (fma.f64 (*.f64 (neg.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 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.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)) | |
| 53.1% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.4% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 #s(literal 0 binary64) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (neg.f64 b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (+.f64 #s(literal 0 binary64) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 54.4% | (/.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))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 53.7% | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.2% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.0% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) 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)) | |
| 53.2% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| 53.2% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -3 binary64)))) | |
| ✓ | 53.2% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) |
| 54.4% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 53.6% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) | |
| 92.7% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/9 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) c)) #s(literal 3 binary64))) | |
| 92.7% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 a (fma.f64 a (fma.f64 (neg.f64 a) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/9 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 c c))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))) a)) #s(literal 3 binary64))) | |
| 90.0% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 a (fma.f64 a (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) b)))) a)) #s(literal 3 binary64))) | |
| 89.9% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) b)))) c)) #s(literal 3 binary64))) | |
| 83.5% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c)) #s(literal 3 binary64))) | |
| 83.5% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))))) #s(literal 3 binary64))) | |
| 92.6% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 b (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 c (*.f64 (*.f64 a c) #s(literal -3/8 binary64))) (fma.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 (*.f64 a a) (*.f64 c c))) (*.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/4 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal 3/8 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))))))) #s(literal 3 binary64))) | |
| ▶ | 92.9% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) |
| 92.9% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 a (fma.f64 a (fma.f64 (neg.f64 a) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 c c))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b c))) a))) | |
| 83.7% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) | |
| 83.6% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))) a))) | |
| 90.0% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b c) (*.f64 a (fma.f64 a (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) a))) | |
| ▶ | 90.1% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c))) |
| 83.6% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 b (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c)))))) | |
| 53.9% | (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 54.4% | (/.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)))))) | |
| 53.2% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 53.2% | (/.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)) | |
| 52.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.8% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.0% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (/.f64 (fma.f64 (*.f64 (neg.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 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 54.4% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.1% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 54.4% | (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.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))) b)) | |
| 53.2% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 92.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 66.4% | (/.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)) | |
| 66.4% | (/.f64 #s(approx (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) | |
| 53.2% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 53.2% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -3 binary64) a))) | |
| 52.3% | (-.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)))) | |
| 52.4% | (+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) | |
| 53.2% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 53.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) | |
| 54.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) #s(literal 1/3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| ▶ | 52.3% | (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) |
| 53.6% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (neg.f64 b)))) | |
| 52.4% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (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)))) | |
| 52.8% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))))) | |
| 53.0% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 (neg.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 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))))) | |
| 54.4% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.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))) b)))) | |
| 53.7% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) | |
| ✓ | 53.2% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
| 66.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b))))) | |
| 53.2% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 53.2% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1/3 binary64)) | |
| 92.7% | #s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| 83.2% | #s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| 83.2% | #s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 11.4% | #s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 92.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) c) (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/2 binary64) c)))) b)) | |
| 92.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/2 binary64) c)) (fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal 1/2 binary64) c))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal 1/2 binary64) c))) (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b)) (*.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a))) b)) | |
| 92.8% | #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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) #s(approx (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)) (*.f64 c (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/2 binary64)))))) b)) | |
| 92.7% | #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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(approx (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) #s(literal -1/2 binary64))))) b)) | |
| 92.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)))) (fma.f64 #s(literal -1/2 binary64) c (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b))))) b)) | |
| 92.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c))))) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 92.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c))))))) (pow.f64 b #s(literal 6 binary64)))) b)) | |
| 92.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 6 binary64))) (-.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 4 binary64)) c)) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 (*.f64 b c) (*.f64 b c)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 c c) c)))))) b)) | |
| 92.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) #s(literal -1/2 binary64)))) b)) | |
| 89.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) #s(literal -1/2 binary64)))) b)) | |
| 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) | |
| 66.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| 92.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 89.7% | #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 (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 66.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ▶ | 66.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
Compiled 6 825 to 3 362 computations (50.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) | |
| cost-diff | 320 | (*.f64 #s(literal 0 binary64) b) | |
| cost-diff | 384 | (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.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)) | |
| cost-diff | 640 | (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c) | |
| cost-diff | 0 | #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) a) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) a) | |
| cost-diff | 128 | (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) | |
| cost-diff | 320 | (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| cost-diff | 0 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) | |
| cost-diff | 384 | (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) | |
| cost-diff | 640 | (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) | |
| cost-diff | 5184 | (pow.f64 b #s(literal 5 binary64)) |
| 14 016× | lower-fma.f32 |
| 13 994× | lower-fma.f64 |
| 5 146× | lower-*.f32 |
| 5 106× | lower-*.f64 |
| 2 640× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 1292 |
| 0 | 165 | 1238 |
| 1 | 336 | 1158 |
| 2 | 914 | 1143 |
| 3 | 3353 | 1107 |
| 4 | 6356 | 1091 |
| 0 | 8211 | 1076 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) |
(/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c) |
(fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) |
c |
(fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) |
(fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) |
(neg.f64 c) |
(fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) |
#s(literal -3/4 binary64) |
(/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) |
(*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64)) |
(/.f64 a (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
b |
#s(literal -9/8 binary64) |
(fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) |
#s(literal -2/3 binary64) |
(*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) |
(/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a)) |
(*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) |
(/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(literal 405/64 binary64) |
(*.f64 a a) |
(/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 #s(literal 27/16 binary64) (*.f64 a a)) |
#s(literal 27/16 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) |
#s(literal 9/8 binary64) |
(/.f64 #s(literal 3/2 binary64) b) |
#s(literal 3/2 binary64) |
(*.f64 #s(literal -2 binary64) (/.f64 b a)) |
#s(literal -2 binary64) |
(/.f64 b a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
c |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 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 |
(*.f64 b b) |
b |
#s(literal 1/3 binary64) |
(*.f64 (neg.f64 b) #s(literal 1/3 binary64)) |
(neg.f64 b) |
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c))) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c)) |
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c) |
(fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) |
#s(literal -2 binary64) |
(/.f64 b a) |
b |
(*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b))) |
c |
(fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) |
(/.f64 a (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
#s(literal 9/8 binary64) |
(/.f64 #s(literal 3/2 binary64) b) |
#s(literal 3/2 binary64) |
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.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)) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) |
#s(literal 0 binary64) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
(*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) |
(fma.f64 b b (*.f64 #s(literal 0 binary64) b)) |
(*.f64 #s(literal 0 binary64) b) |
(sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (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) |
(*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -135/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 b #s(literal 6 binary64)) a)))) b (*.f64 a (fma.f64 #s(literal 27/32 binary64) (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) (*.f64 #s(literal 27/16 binary64) (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))))) (neg.f64 c) (*.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c)) a)) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) |
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -135/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 b #s(literal 6 binary64)) a)))) b (*.f64 a (fma.f64 #s(literal 27/32 binary64) (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) (*.f64 #s(literal 27/16 binary64) (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))))) (neg.f64 c) (*.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c)) |
(/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -135/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 b #s(literal 6 binary64)) a)))) b (*.f64 a (fma.f64 #s(literal 27/32 binary64) (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) (*.f64 #s(literal 27/16 binary64) (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))))) (neg.f64 c) (*.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c) |
(fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -135/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 b #s(literal 6 binary64)) a)))) b (*.f64 a (fma.f64 #s(literal 27/32 binary64) (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) (*.f64 #s(literal 27/16 binary64) (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))))) (neg.f64 c) (*.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) |
c |
(fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -135/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 b #s(literal 6 binary64)) a)))) b (*.f64 a (fma.f64 #s(literal 27/32 binary64) (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) (*.f64 #s(literal 27/16 binary64) (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))))) (neg.f64 c) (*.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) c (/.f64 #s(literal 3/2 binary64) b)) |
(fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -135/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 b #s(literal 6 binary64)) a)))) b (*.f64 a (fma.f64 #s(literal 27/32 binary64) (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) (*.f64 #s(literal 27/16 binary64) (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))))) (neg.f64 c) (*.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) |
(neg.f64 c) |
(fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) |
(fma.f64 (*.f64 #s(literal -135/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 b #s(literal 6 binary64)) a)))) b (*.f64 a (fma.f64 #s(literal 27/32 binary64) (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) (*.f64 #s(literal 27/16 binary64) (/.f64 a (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)))))) |
#s(literal -3/4 binary64) |
(/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) |
(*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) a) |
(*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) |
(*.f64 (*.f64 #s(literal -9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b))) a) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64)) |
(*.f64 #s(literal -9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b))) |
(/.f64 a (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
b |
#s(literal -9/8 binary64) |
(fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) |
(fma.f64 (*.f64 #s(literal -135/32 binary64) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a (*.f64 (pow.f64 b #s(literal 6 binary64)) a)))) b (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) |
#s(literal -2/3 binary64) |
(*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) |
(*.f64 (*.f64 b (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 a (*.f64 (pow.f64 b #s(literal 6 binary64)) a)))) |
(/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a)) |
(*.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 #s(literal 405/64 binary64) (*.f64 a (*.f64 (pow.f64 b #s(literal 6 binary64)) a)))) |
(*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) |
(*.f64 (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 4 binary64))) |
(/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(literal 405/64 binary64) |
(*.f64 a a) |
(/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) |
(*.f64 #s(literal 27/16 binary64) (*.f64 a a)) |
#s(literal 27/16 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) |
#s(literal 5 binary64) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) |
(*.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b))) |
#s(literal 9/8 binary64) |
(/.f64 #s(literal 3/2 binary64) b) |
#s(literal 3/2 binary64) |
(*.f64 #s(literal -2 binary64) (/.f64 b a)) |
(*.f64 (/.f64 b a) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 b a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
c |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
#s(literal 1/3 binary64) |
(*.f64 (neg.f64 b) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) b) |
(neg.f64 b) |
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c)) a)) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c)) |
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c)) |
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c) |
(fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) |
#s(literal -2 binary64) |
(/.f64 b a) |
b |
(*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b))) |
(*.f64 (fma.f64 (*.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal 3/2 binary64) b)) c) |
c |
(fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)) |
(fma.f64 (*.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b))) c (/.f64 #s(literal 3/2 binary64) b)) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) |
(*.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b))) |
(/.f64 a (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
#s(literal 9/8 binary64) |
(/.f64 #s(literal 3/2 binary64) b) |
#s(literal 3/2 binary64) |
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.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)) |
(/.f64 (*.f64 (*.f64 b b) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (neg.f64 b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) (*.f64 (*.f64 (*.f64 a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) |
(/.f64 (*.f64 (*.f64 b b) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (neg.f64 b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(*.f64 (*.f64 b b) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (neg.f64 b) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 (neg.f64 b) b) b) |
#s(literal 0 binary64) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
(*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b)) |
(+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) |
(*.f64 b b) |
(fma.f64 b b (*.f64 #s(literal 0 binary64) b)) |
(*.f64 b b) |
(*.f64 #s(literal 0 binary64) b) |
#s(literal 0 binary64) |
(sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.34212875976844204 | (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) | |
| accuracy | 0.371757519536884 | (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.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)) | |
| accuracy | 0.4108200195368841 | (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| accuracy | 29.903931113869383 | (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) | |
| accuracy | 0.265625 | (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b))) | |
| accuracy | 0.3046875 | (/.f64 a (*.f64 (*.f64 b b) b)) | |
| accuracy | 0.33203125 | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c))) | |
| accuracy | 6.043013892438328 | #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c)) | |
| accuracy | 0.25 | (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) | |
| accuracy | 0.32259750976844204 | (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) | |
| accuracy | 0.33984375 | (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) | |
| accuracy | 30.127495058023303 | (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| accuracy | 0.28125 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) | |
| accuracy | 21.429382871463275 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) | |
| accuracy | 0.36328125 | (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a)) | |
| accuracy | 0.4296875 | (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) | |
| accuracy | 0.6277314453688406 | (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) | |
| accuracy | 4.173453628750538 | #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) |
| 135.0ms | 104× | 1 | valid |
| 95.0ms | 152× | 0 | valid |
Compiled 1 168 to 96 computations (91.8% saved)
ival-mult: 63.0ms (36.8% of total)ival-div: 36.0ms (21% of total)ival-add: 20.0ms (11.7% of total)adjust: 14.0ms (8.2% of total)const: 10.0ms (5.8% of total)ival-sqrt: 10.0ms (5.8% of total)ival-pow: 10.0ms (5.8% of total)ival-sub: 5.0ms (2.9% of total)exact: 2.0ms (1.2% of total)ival-neg: 2.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (patch (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (patch (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ()) |
#s(alt (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) (patch (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) b) (patch (/.f64 #s(literal -1/2 binary64) b) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) (patch (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) (patch (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c)) (patch #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c) (patch (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (patch (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.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)) (patch (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.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)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 0 binary64) b) (patch (*.f64 #s(literal 0 binary64) b) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (patch (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) (patch #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (patch (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a)) (patch (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 a (*.f64 (*.f64 b b) b)) (patch (/.f64 a (*.f64 (*.f64 b b) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b))) (patch (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | c | @ | -inf | ((pow b 5) (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (* (/ 1 a) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (* (neg b) 1/3))) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (* (neg b) 1/3)) (* (neg b) 1/3) (/ 1 a) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/ (+ (* -2 (/ b a)) (* c (+ (* c (* (/ a (* (* b b) b)) 9/8)) (/ 3/2 b)))) c) (+ (* (- 0 (* (* b b) b)) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (/ (/ (+ (* (- 0 (* (* b b) b)) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (+ (* (* 3 a) c) (* b b))))) (* 3 a)) (* 0 b) (+ 0 (+ (* b b) (* 0 b))) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5))) (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)) (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (/ a (* (* b b) b)) (* c (+ (* c (* (/ a (* (* b b) b)) 9/8)) (/ 3/2 b))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b))))) (/ (+ (* (- 0 (* (* b b) b)) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (+ (* (* 3 a) c) (* b b)))))) |
| 20.0ms | a | @ | inf | ((pow b 5) (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (* (/ 1 a) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (* (neg b) 1/3))) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (* (neg b) 1/3)) (* (neg b) 1/3) (/ 1 a) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/ (+ (* -2 (/ b a)) (* c (+ (* c (* (/ a (* (* b b) b)) 9/8)) (/ 3/2 b)))) c) (+ (* (- 0 (* (* b b) b)) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (/ (/ (+ (* (- 0 (* (* b b) b)) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (+ (* (* 3 a) c) (* b b))))) (* 3 a)) (* 0 b) (+ 0 (+ (* b b) (* 0 b))) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5))) (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)) (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (/ a (* (* b b) b)) (* c (+ (* c (* (/ a (* (* b b) b)) 9/8)) (/ 3/2 b))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b))))) (/ (+ (* (- 0 (* (* b b) b)) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (+ (* (* 3 a) c) (* b b)))))) |
| 17.0ms | c | @ | 0 | ((pow b 5) (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (* (/ 1 a) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (* (neg b) 1/3))) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (* (neg b) 1/3)) (* (neg b) 1/3) (/ 1 a) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/ (+ (* -2 (/ b a)) (* c (+ (* c (* (/ a (* (* b b) b)) 9/8)) (/ 3/2 b)))) c) (+ (* (- 0 (* (* b b) b)) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (/ (/ (+ (* (- 0 (* (* b b) b)) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (+ (* (* 3 a) c) (* b b))))) (* 3 a)) (* 0 b) (+ 0 (+ (* b b) (* 0 b))) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5))) (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)) (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (/ a (* (* b b) b)) (* c (+ (* c (* (/ a (* (* b b) b)) 9/8)) (/ 3/2 b))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b))))) (/ (+ (* (- 0 (* (* b b) b)) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (+ (* (* 3 a) c) (* b b)))))) |
| 17.0ms | b | @ | -inf | ((pow b 5) (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (* (/ 1 a) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (* (neg b) 1/3))) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (* (neg b) 1/3)) (* (neg b) 1/3) (/ 1 a) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/ (+ (* -2 (/ b a)) (* c (+ (* c (* (/ a (* (* b b) b)) 9/8)) (/ 3/2 b)))) c) (+ (* (- 0 (* (* b b) b)) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (/ (/ (+ (* (- 0 (* (* b b) b)) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (+ (* (* 3 a) c) (* b b))))) (* 3 a)) (* 0 b) (+ 0 (+ (* b b) (* 0 b))) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5))) (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)) (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (/ a (* (* b b) b)) (* c (+ (* c (* (/ a (* (* b b) b)) 9/8)) (/ 3/2 b))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b))))) (/ (+ (* (- 0 (* (* b b) b)) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (+ (* (* 3 a) c) (* b b)))))) |
| 16.0ms | b | @ | inf | ((pow b 5) (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (* (/ 1 a) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (* (neg b) 1/3))) (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (* (neg b) 1/3)) (* (neg b) 1/3) (/ 1 a) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/ (+ (* -2 (/ b a)) (* c (+ (* c (* (/ a (* (* b b) b)) 9/8)) (/ 3/2 b)))) c) (+ (* (- 0 (* (* b b) b)) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (/ (/ (+ (* (- 0 (* (* b b) b)) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (+ (* (* 3 a) c) (* b b))))) (* 3 a)) (* 0 b) (+ 0 (+ (* b b) (* 0 b))) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5))) (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)) (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (/ a (* (* b b) b)) (* c (+ (* c (* (/ a (* (* b b) b)) 9/8)) (/ 3/2 b))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b))))) (/ (+ (* (- 0 (* (* b b) b)) (sqrt (+ (* (* 3 a) c) (* b b)))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (* (+ (* (* 3 a) c) (* b b)) (+ (* (* -3 c) a) (* b b)))))) (* (+ 0 (+ (* b b) (* 0 b))) (sqrt (+ (* (* 3 a) c) (* b b)))))) |
| 1× | egg-herbie |
| 7 032× | lower-*.f64 |
| 7 032× | lower-*.f32 |
| 4 952× | lower-fma.f64 |
| 4 952× | lower-fma.f32 |
| 4 496× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2274 | 24815 |
| 1 | 6729 | 24370 |
| 0 | 8181 | 23446 |
| 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 (+ (* -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)) |
(/ (+ (* -1/3 b) (* 1/3 b)) a) |
(+ (* -1/2 (/ c b)) (+ (* -1/3 (/ b a)) (* 1/3 (/ b a)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
(+ (* -1/3 (/ b a)) (+ (* 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)))))) |
(+ (* -1/3 b) (* 1/3 b)) |
(+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b))) |
(+ (* -1/3 b) (+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))) |
(+ (* -1/3 b) (+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))))) |
(* -1/2 (/ c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* -2 (/ b (* a c))) |
(/ (+ (* -2 (/ b a)) (* 3/2 (/ c b))) c) |
(/ (+ (* -2 (/ b a)) (* c (+ (* -1 (* c (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c) |
(/ (+ (* -2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c) |
(* -2 (/ b (* a c))) |
(/ (+ (* -2 (/ b a)) (* 3/2 (/ c b))) c) |
(/ (+ (* -2 (/ b a)) (* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) c) |
(/ (+ (* -2 (/ b a)) (* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) c) |
(+ (* -1 (pow b 4)) (pow b 4)) |
(+ (* -1 (pow b 4)) (+ (* c (+ (* -3/2 (* a (pow b 2))) (* 1/2 (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))))) (pow b 4))) |
(+ (* -1 (pow b 4)) (+ (* c (+ (* -3/2 (* a (pow b 2))) (+ (* 1/2 (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* c (+ (* 1/2 (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4))))) (* 9/8 (pow a 2))))))) (pow b 4))) |
(+ (* -1 (pow b 4)) (+ (* c (+ (* -3/2 (* a (pow b 2))) (+ (* 1/2 (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* c (+ (* 1/2 (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4))))) (+ (* 9/8 (pow a 2)) (* c (+ (* -27/16 (/ (pow a 3) (pow b 2))) (* -1/4 (/ (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4))))) (pow b 4))))))))))) (pow b 4))) |
(* 1/3 (/ (+ (* -1 (pow b 4)) (pow b 4)) (* a (pow b 3)))) |
(+ (* 1/3 (* c (- (+ (* -3/2 (/ (+ (* -1 (pow b 4)) (pow b 4)) (pow b 5))) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (* a (pow b 3))))) (* 3/2 (/ 1 b))))) (* 1/3 (/ (+ (* -1 (pow b 4)) (pow b 4)) (* a (pow b 3))))) |
(+ (* 1/3 (/ (+ (* -1 (pow b 4)) (pow b 4)) (* a (pow b 3)))) (* c (+ (* 1/3 (* c (+ (* -3/2 (/ (* a (- (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (* a (pow b 2)))) 3/2)) (pow b 3))) (+ (* -1/2 (/ (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (+ (* -1 (pow b 4)) (pow b 4))) (* a b))) (+ (* 1/2 (/ (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4)))) (* a (pow b 3)))) (* 9/8 (/ a (pow b 3)))))))) (* 1/3 (- (+ (* -3/2 (/ (+ (* -1 (pow b 4)) (pow b 4)) (pow b 5))) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (* a (pow b 3))))) (* 3/2 (/ 1 b))))))) |
(+ (* 1/3 (/ (+ (* -1 (pow b 4)) (pow b 4)) (* a (pow b 3)))) (* c (+ (* 1/3 (- (+ (* -3/2 (/ (+ (* -1 (pow b 4)) (pow b 4)) (pow b 5))) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (* a (pow b 3))))) (* 3/2 (/ 1 b)))) (* c (+ (* 1/3 (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (+ (* -3/2 (/ (* a (+ (* 1/2 (/ (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4)))) (* a (pow b 2)))) (* 9/8 (/ a (pow b 2))))) (pow b 3))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (- (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (* a (pow b 2)))) 3/2)))) (+ (* -1/2 (/ (* (+ (* -1 (pow b 4)) (pow b 4)) (+ (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 8))))) (* a b))) (* -1/4 (/ (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4))))) (* a (pow b 7)))))))))) (* 1/3 (+ (* -3/2 (/ (* a (- (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (* a (pow b 2)))) 3/2)) (pow b 3))) (+ (* -1/2 (/ (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (+ (* -1 (pow b 4)) (pow b 4))) (* a b))) (+ (* 1/2 (/ (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4)))) (* a (pow b 3)))) (* 9/8 (/ a (pow b 3)))))))))))) |
(* -2 (/ b (* a c))) |
(/ (+ (* -2 (/ b a)) (* 3/2 (/ c b))) c) |
(/ (+ (* -2 (/ b a)) (* c (+ (* -1 (* c (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c) |
(/ (+ (* -2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c) |
(* 1/3 b) |
(+ (* -1/2 (/ (* a c) b)) (* 1/3 b)) |
(+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))) |
(* 3/2 (/ c b)) |
(* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(pow b 4) |
(+ (* 1/2 (* c (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (pow b 4)) |
(+ (* c (+ (* 1/2 (* c (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4)))))) (* 1/2 (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))))) (pow b 4)) |
(+ (* c (+ (* 1/2 (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* c (+ (* -1/4 (/ (* c (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4)))))) (pow b 4))) (* 1/2 (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4))))))))) (pow b 4)) |
(/ (+ (* -1 (pow b 4)) (pow b 4)) (pow b 3)) |
(+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (+ (* -3/2 (/ (* a (+ (* -1 (pow b 4)) (pow b 4))) (pow b 5))) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (pow b 3)))))))) |
(+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (+ (* -3/2 (/ (* a (+ (* -1 (pow b 4)) (pow b 4))) (pow b 5))) (+ (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (pow b 3))) (* c (+ (* -3/2 (/ (* a (+ (* -3/2 a) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (pow b 2))))) (pow b 3))) (+ (* -1/2 (/ (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (+ (* -1 (pow b 4)) (pow b 4))) b)) (+ (* 1/2 (/ (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4)))) (pow b 3))) (* 9/8 (/ (pow a 2) (pow b 3))))))))))))) |
(+ b (+ (* -1 b) (* c (+ (* -3/2 (/ a b)) (+ (* -3/2 (/ (* a (+ (* -1 (pow b 4)) (pow b 4))) (pow b 5))) (+ (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (pow b 3))) (* c (+ (* -3/2 (/ (* a (+ (* -3/2 a) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (pow b 2))))) (pow b 3))) (+ (* -1/2 (/ (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (+ (* -1 (pow b 4)) (pow b 4))) b)) (+ (* 1/2 (/ (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4)))) (pow b 3))) (+ (* 9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (+ (* 1/2 (/ (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4)))) (pow b 2))) (* 9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (+ (* -3/2 a) (* 1/2 (/ (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (pow b 2))))))) (+ (* -1/2 (/ (* (+ (* -1 (pow b 4)) (pow b 4)) (+ (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 8))))) b)) (* -1/4 (/ (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (* -9 (pow a 2)) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (pow b 4))))) (pow b 7))))))))))))))))))) |
(* 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)) |
(* 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))))))) |
(* 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 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(/ (+ (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* 3 (/ b (* a (pow (sqrt -3) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (* -3 (/ b (* a (pow (sqrt -3) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* 3/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -3 (/ b (* a (pow (sqrt -3) 2)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) |
(* 9/8 (/ (* a c) (pow b 3))) |
(* c (+ (* 9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* c (+ (* -2 (/ b (* a (pow c 2)))) (+ (* 9/8 (/ a (pow b 3))) (/ 3/2 (* b c))))) |
(* c (+ (* -2 (/ b (* a (pow c 2)))) (+ (* 9/8 (/ a (pow b 3))) (/ 3/2 (* b c))))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (* a (* (pow b 2) (sqrt -9))))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (+ (* 1/2 (/ (* (pow b 2) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* a (* c (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (+ (* 1/2 (/ (* (pow b 2) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* a (* c (sqrt -9))))) (+ (* 1/2 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2)))))) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (+ (* -1/4 (/ (* (pow b 2) (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))))) (* (pow a 3) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (* (pow b 2) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* a (* c (sqrt -9))))) (+ (* 1/2 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2)))))) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))))))) |
(* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (* a (* (pow b 2) (sqrt -9))))) (pow b 2)))) |
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (sqrt -9)))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (* a (* (pow b 2) (sqrt -9))))) (pow b 2)))))) |
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (sqrt -9)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (* a (* (pow b 2) (sqrt -9))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (* a (* (pow b 2) (sqrt -9)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))) (* (pow a 2) (sqrt -9)))))))) (pow c 2)))))) |
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (sqrt -9)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (* a (* (pow b 2) (sqrt -9))))) (pow b 2)))) (+ (* 1/3 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 9) c))) (/ (* (sqrt 1/3) (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))))) (pow (sqrt -9) 3)))) (+ (* -1/36 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 2) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* (sqrt -9) (sqrt 1/3))))) (* 1/54 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 2) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (* a (* (pow b 2) (sqrt -9))))) (sqrt 1/3)))))) (pow c 3))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (* a (* (pow b 2) (sqrt -9)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))) (* (pow a 2) (sqrt -9)))))))) (pow c 2))))))) |
(* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(/ (+ (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* 3 (/ b (* a (pow (sqrt -3) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (* -3 (/ b (* a (pow (sqrt -3) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* 3/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -3 (/ b (* a (pow (sqrt -3) 2)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* 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)))))) |
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* c (+ (* 1/2 (/ (* (pow b 2) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* a (* c (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))) |
(* c (+ (* 1/2 (/ (* (pow b 2) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* a (* c (sqrt -9))))) (+ (* 1/2 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2)))))) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) |
(* c (+ (* -1/4 (/ (* (pow b 2) (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))))) (* (pow a 3) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (* (pow b 2) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* a (* c (sqrt -9))))) (+ (* 1/2 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2)))))) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))))) |
(* (sqrt (/ c a)) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (* a (* (pow b 2) (sqrt -9))))) (pow b 2))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (sqrt -9)))) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (* a (* (pow b 2) (sqrt -9))))) (pow b 2))))) |
(* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (* a (* (pow b 2) (sqrt -9)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (sqrt -9)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (* a (* (pow b 2) (sqrt -9))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (+ (* -1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))) (* a (sqrt -9))))))))))) |
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (* (sqrt 1/3) (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))))) (pow (sqrt -9) 3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (* a (* (pow b 2) (sqrt -9)))) (sqrt 1/3)))) (+ (* -1/36 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* (sqrt -9) (sqrt 1/3))))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (* a (* (pow b 2) (sqrt -9))))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (sqrt -9)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (* a (* (pow b 2) (sqrt -9))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (+ (* -1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))) (* a (sqrt -9)))))))))))))) |
(* -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)) |
(* -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))))))) |
(* -1/3 (* (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 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* a (pow (sqrt 3) 2))))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) c)) |
(* 9/8 (/ (* a c) (pow b 3))) |
(* -1 (* c (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))))) |
(* -1 (* c (+ (* -9/8 (/ a (pow b 3))) (* -1 (/ (+ (* -2 (/ b (* a c))) (* 3/2 (/ 1 b))) c))))) |
(* -1 (* c (+ (* -9/8 (/ a (pow b 3))) (* -1 (/ (+ (* -2 (/ b (* a c))) (* 3/2 (/ 1 b))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* a (* (pow b 2) (sqrt -9)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (+ (* -1/2 (/ (* (pow b 2) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* a (* c (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2)))))) (* a (sqrt -9))))) c)) (* 1/2 (/ (* (pow b 2) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* a (sqrt -9))))) c)) (* a (* (pow b 2) (sqrt -9))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (+ (* 1/4 (/ (* (pow b 2) (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))))) (* (pow a 3) (* c (pow (sqrt -9) 3))))) (* 1/2 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2)))))) (* a (sqrt -9)))))) c)) (* 1/2 (/ (* (pow b 2) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* a (sqrt -9))))) c)) (* a (* (pow b 2) (sqrt -9))))))) |
(* -1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* a (* (pow b 2) (sqrt -9)))))) (pow b 2)))) |
(* -1 (* c (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (sqrt -9)))) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* a (* (pow b 2) (sqrt -9)))))) (pow b 2))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* a (* (pow b 2) (sqrt -9))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))) (* (pow a 2) (sqrt -9))))))))) c)) (* 1/6 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (sqrt -9))))) c)) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* a (* (pow b 2) (sqrt -9)))))) (pow b 2))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 9) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2)))))))) (pow (sqrt -9) 3)))) (+ (* -1/36 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 2) (* (sqrt -1) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (* (sqrt -9) (sqrt -1/3))))) (* -1/54 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 2) (* (sqrt -1) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* a (* (pow b 2) (sqrt -9)))))) (sqrt -1/3)))))) c)) (* 1/3 (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* a (* (pow b 2) (sqrt -9))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))) (* (pow a 2) (sqrt -9))))))))))) c)) (* 1/6 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (sqrt -9))))) c)) (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* a (* (pow b 2) (sqrt -9)))))) (pow b 2))))))) |
(* -3 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* a (pow (sqrt 3) 2))))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) c)) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))) |
(* 9/8 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* (pow c 2) (+ (* 9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
(* -1 (* a (* (pow b 2) (* c (sqrt -9))))) |
(* -1 (* c (+ (* -1/2 (/ (* (pow b 2) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* a (* c (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2)))))) (* a (* c (sqrt -9))))) (* 1/2 (/ (* (pow b 2) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* a (sqrt -9))))) c)) (* a (* (pow b 2) (sqrt -9)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (pow b 2) (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))))) (* (pow a 3) (* c (pow (sqrt -9) 3))))) (* 1/2 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2)))))) (* a (sqrt -9))))) c)) (* 1/2 (/ (* (pow b 2) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* a (sqrt -9))))) c)) (* a (* (pow b 2) (sqrt -9)))))) |
(* -1 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* a (* (pow b 2) (sqrt -9)))))) (pow b 2)))) |
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (sqrt -9)))) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* a (* (pow b 2) (sqrt -9)))))) (pow b 2)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* a (* (pow b 2) (sqrt -9))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))) (* a (sqrt -9))))))))) c)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (sqrt -9))))) c)) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* a (* (pow b 2) (sqrt -9)))))) (pow b 2)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 7) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (* (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2)))))))) (pow (sqrt -9) 3)))) (+ (* -1/36 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 2) (* (sqrt -1) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (* (sqrt -9) (sqrt -1/3))))) (* -1/54 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 2) (* (sqrt -1) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* a (* (pow b 2) (sqrt -9)))))) (sqrt -1/3)))))) c)) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* a (* (pow b 2) (sqrt -9))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2))))) (* a (sqrt -9)))))))))) c)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))))) (sqrt -9))))) c)) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* a (* (pow b 2) (sqrt -9)))))) (pow b 2)))))) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(/ (+ (* -135/32 (pow a 2)) (+ (* 27/32 (pow a 2)) (* 27/16 (pow a 2)))) (pow b 5)) |
(/ (+ (* -135/32 (pow a 2)) (+ (* 27/32 (pow a 2)) (* 27/16 (pow a 2)))) (pow b 5)) |
(/ (+ (* -135/32 (pow a 2)) (+ (* 27/32 (pow a 2)) (* 27/16 (pow a 2)))) (pow b 5)) |
(/ (+ (* -135/32 (pow a 2)) (+ (* 27/32 (pow a 2)) (* 27/16 (pow a 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))))) |
(* -9/8 (/ (pow a 2) (pow b 5))) |
(* -9/8 (/ (pow a 2) (pow b 5))) |
(* -9/8 (/ (pow a 2) (pow b 5))) |
(* -9/8 (/ (pow a 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))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(* 1/3 (* (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))) |
(* -1/3 b) |
(* -1/3 b) |
(* -1/3 b) |
(* -1/3 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))))) |
(* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 3 (/ b (* a (* c (pow (sqrt -3) 2)))))) |
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (+ (* -1 (* b (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* a (* c (pow (sqrt -3) 2)))))))) |
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (+ (* b (- (* -1 (* b (+ (* 3/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* a (* c (pow (sqrt -3) 2)))))))) |
(* 9/8 (/ (* a c) (pow b 3))) |
(/ (+ (* 9/8 (* a c)) (* 3/2 (pow b 2))) (pow b 3)) |
(/ (+ (* 9/8 (* a c)) (* (pow b 2) (+ 3/2 (* -2 (/ (pow b 2) (* a c)))))) (pow b 3)) |
(/ (+ (* 9/8 (* a c)) (* (pow b 2) (+ 3/2 (* -2 (/ (pow b 2) (* a c)))))) (pow b 3)) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* (pow b 2) (+ (* -1 (* (sqrt (* a c)) (* b (sqrt 3)))) (* a (* c (sqrt -9))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* b (+ (* -1 (* (sqrt (* a c)) (sqrt 3))) (* 1/2 (/ (* b (+ (* -3 (* a c)) (* 3 (* a c)))) (* a (* c (sqrt -9))))))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* b (+ (* -1 (* (sqrt (* a c)) (sqrt 3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt 3)))) (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) (* a (* c (sqrt -9))))))))))) |
(* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* -1/3 (/ (* b (* (sqrt 1/3) (sqrt 3))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* 1/3 (* b (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (sqrt -9) (sqrt 1/3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a c)) (* 3 (* a c)))) (sqrt -9)))))))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* b (+ (* 1/3 (* b (+ (* -1/2 (/ (sqrt 1/3) (* (pow a 2) (* c (sqrt 3))))) (* 1/18 (/ (sqrt 3) (* (pow a 2) (* c (sqrt 1/3)))))))) (* 1/3 (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (sqrt -9) (sqrt 1/3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a c)) (* 3 (* a c)))) (sqrt -9))))))))))) |
0 |
0 |
0 |
0 |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 3 (/ b (* a (* c (pow (sqrt -3) 2)))))) |
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (+ (* -1 (* b (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* a (* c (pow (sqrt -3) 2)))))))) |
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (+ (* b (- (* -1 (* b (+ (* 3/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* a (* c (pow (sqrt -3) 2)))))))) |
(/ (+ (* -135/32 (pow a 2)) (* 27/16 (pow a 2))) (pow b 5)) |
(/ (+ (* -135/32 (pow a 2)) (* 27/16 (pow a 2))) (pow b 5)) |
(/ (+ (* -135/32 (pow a 2)) (* 27/16 (pow a 2))) (pow b 5)) |
(/ (+ (* -135/32 (pow a 2)) (* 27/16 (pow a 2))) (pow b 5)) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* (pow b 2) (+ (* -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))) (* (pow b 2) (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(* 9/8 (/ (* a (pow c 2)) (pow b 3))) |
(/ (+ (* 9/8 (* a (pow c 2))) (* 3/2 (* (pow b 2) c))) (pow b 3)) |
(/ (+ (* 9/8 (* a (pow c 2))) (* 3/2 (* (pow b 2) c))) (pow b 3)) |
(/ (+ (* 9/8 (* a (pow c 2))) (* 3/2 (* (pow b 2) c))) (pow b 3)) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* (pow b 2) (+ (* 1/2 (/ (* (pow b 2) (+ (* -3 (* a c)) (* 3 (* a c)))) (* a (* c (sqrt -9))))) (* a (* c (sqrt -9))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* (pow b 2) (+ (* 1/2 (/ (* (pow b 2) (- 1 (* 1/4 (/ (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2) (* (pow a 2) (* (pow c 2) (pow (sqrt -9) 2))))))) (* a (* c (sqrt -9))))) (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) (* a (* c (sqrt -9))))))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* (pow b 2) (+ (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) (* a (* c (sqrt -9))))) (* (pow b 2) (+ (* -1/4 (/ (* (pow b 2) (* (+ (* -3 (* a c)) (* 3 (* a c))) (- 1 (* 1/4 (/ (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2) (* (pow a 2) (* (pow c 2) (pow (sqrt -9) 2)))))))) (* (pow a 3) (* (pow c 3) (pow (sqrt -9) 3))))) (* 1/2 (/ (- 1 (* 1/4 (/ (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2) (* (pow a 2) (* (pow c 2) (pow (sqrt -9) 2)))))) (* a (* c (sqrt -9))))))))))) |
(* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3))) |
(+ (* -1 (* b (* (sqrt 1/3) (sqrt 3)))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* b (+ (* -1 (* (sqrt 1/3) (sqrt 3))) (* b (+ (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (sqrt -9) (sqrt 1/3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a c)) (* 3 (* a c)))) (sqrt -9)))))))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* b (+ (* -1 (* (sqrt 1/3) (sqrt 3))) (* b (+ (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (sqrt -9) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* a c)) (* 3 (* a c)))) (sqrt -9)))) (* b (+ (* -1/2 (/ (sqrt 1/3) (* a (* c (sqrt 3))))) (* 1/18 (/ (sqrt 3) (* a (* c (sqrt 1/3)))))))))))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(/ (+ (* -135/32 (pow a 2)) (+ (* 27/32 (pow a 2)) (* 27/16 (pow a 2)))) (pow b 5)) |
(/ (+ (* -135/32 (pow a 2)) (+ (* 27/32 (pow a 2)) (* 27/16 (pow a 2)))) (pow b 5)) |
(/ (+ (* -135/32 (pow a 2)) (+ (* 27/32 (pow a 2)) (* 27/16 (pow a 2)))) (pow b 5)) |
(/ (+ (* -135/32 (pow a 2)) (+ (* 27/32 (pow a 2)) (* 27/16 (pow a 2)))) (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) |
(* -9/8 (/ (pow a 2) (pow b 5))) |
(* -9/8 (/ (pow a 2) (pow b 5))) |
(* -9/8 (/ (pow a 2) (pow b 5))) |
(* -9/8 (/ (pow a 2) (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 b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 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 (/ (* 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) |
(* -1/3 b) |
(* -1/3 b) |
(* -1/3 b) |
(* -1/3 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) |
(* -2 (/ b (* a c))) |
(* b (- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -9/4 (* a c)) (* 9/8 (* a c))) (pow b 4))) (* 3/2 (/ 1 (pow b 2)))) (* 2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -9/4 (* a c)) (* 9/8 (* a c)))))) (+ (* -2/3 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 27/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 3/2 (/ 1 (pow b 2)))) (+ (* -9/4 (/ (* a c) (pow b 4))) (+ (* 9/8 (/ (* a c) (pow b 4))) (* 2 (/ 1 (* a c))))))) |
(* -2 (/ b (* a c))) |
(* b (- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))) |
(* b (- (+ (* 9/8 (/ (* a c) (pow b 4))) (* 3/2 (/ 1 (pow b 2)))) (* 2 (/ 1 (* a c))))) |
(* b (- (+ (* 9/8 (/ (* a c) (pow b 4))) (* 3/2 (/ 1 (pow b 2)))) (* 2 (/ 1 (* a c))))) |
(* (pow b 2) (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))))) |
(* (pow b 2) (+ (* -3/2 (* a c)) (+ (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))))) |
(* (pow b 2) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (pow b 4))) (+ (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))))))) |
(* (pow b 2) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -1/2 (/ (+ (* -1/4 (* (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))))) (* 1/4 (pow (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) 2))) (pow b 6))) (+ (* -1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (pow b 4))) (+ (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))))))))) |
(* 1/3 (/ (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))) (* a b))) |
(/ (+ (* 1/3 (/ (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))) a)) (* 1/3 (/ (+ (* -3/2 (* c (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) a)) (* 9/8 (* a (pow c 2))))) (pow b 2)))) b) |
(/ (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) a)) (* 9/8 (* a (pow c 2))))))) (+ (* -1/2 (/ (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))))) a)) (* -1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) a))))) (pow b 4))) (+ (* 1/3 (/ (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))) a)) (* 1/3 (/ (+ (* -3/2 (* c (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) a)) (* 9/8 (* a (pow c 2))))) (pow b 2))))) b) |
(/ (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) a)) (* 9/8 (* a (pow c 2))))))) (+ (* -1/2 (/ (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))))) a)) (* -1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) a))))) (pow b 4))) (+ (* 1/3 (/ (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))) a)) (+ (* 1/3 (/ (+ (* -3/2 (* a (* c (+ (* -27/16 (* (pow a 2) (pow c 3))) (* -1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) a)))))) (+ (* -1/2 (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) a)) (* 9/8 (* a (pow c 2)))))) (+ (* -1/2 (/ (* (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))) (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3))))) a)) (+ (* -1/2 (/ (+ (* -1/4 (* (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))))) (* 1/4 (pow (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) 2))) a)) (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a)))))) (pow b 6))) (* 1/3 (/ (+ (* -3/2 (* c (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) a)) (* 9/8 (* a (pow c 2))))) (pow b 2)))))) b) |
0 |
0 |
0 |
0 |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(* -2 (/ b (* a c))) |
(* b (- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -9/4 (* a c)) (* 9/8 (* a c))) (pow b 4))) (* 3/2 (/ 1 (pow b 2)))) (* 2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -9/4 (* a c)) (* 9/8 (* a c)))))) (+ (* -2/3 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 27/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 3/2 (/ 1 (pow b 2)))) (+ (* -9/4 (/ (* a c) (pow b 4))) (+ (* 9/8 (/ (* a c) (pow b 4))) (* 2 (/ 1 (* a c))))))) |
(/ (+ (* -135/32 (pow a 2)) (* 27/16 (pow a 2))) (pow b 5)) |
(/ (+ (* -135/32 (pow a 2)) (* 27/16 (pow a 2))) (pow b 5)) |
(/ (+ (* -135/32 (pow a 2)) (* 27/16 (pow a 2))) (pow b 5)) |
(/ (+ (* -135/32 (pow a 2)) (* 27/16 (pow a 2))) (pow b 5)) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 1/3 b) |
(* b (+ 1/3 (* -1/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1/3 (+ (* -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))))))) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(* 3/2 (/ c b)) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) |
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) (pow b 2))) (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* -1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (pow b 6))) (+ (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) (pow b 2))) (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 4))))))) |
(/ (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))) b) |
(/ (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))))) (pow b 2))) (+ (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 2))) (* 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)) (+ (* -3/2 (/ (* a (* c (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))))) (pow b 2))) (+ (* -3/2 (/ (* a (* c (+ (* 1/2 (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (* 9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* -1/2 (/ (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))))) (pow b 4))) (+ (* -1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (pow b 4))) (+ (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 2))) (* 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)) (+ (* -3/2 (/ (* a (* c (+ (* -27/16 (* (pow a 3) (pow c 3))) (* -1/4 (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))))))) (pow b 6))) (+ (* -3/2 (/ (* a (* c (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))))) (pow b 2))) (+ (* -3/2 (/ (* a (* c (+ (* 1/2 (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (* 9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* -1/2 (/ (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))))) (pow b 4))) (+ (* -1/2 (/ (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (+ (* 1/2 (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (* 9/8 (* (pow a 2) (pow c 2))))) (pow b 6))) (+ (* -1/2 (/ (* (+ (* -3/2 (* a c)) (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c))))) (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1/4 (* (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))))) (* 1/4 (pow (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) 2))) (pow b 6))) (+ (* -1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (pow b 4))) (+ (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))))))))))))) b) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(* -1 (/ (+ (* -27/16 (pow a 2)) (+ (* -27/32 (pow a 2)) (* 135/32 (pow a 2)))) (pow b 5))) |
(* -1 (/ (+ (* -27/16 (pow a 2)) (+ (* -27/32 (pow a 2)) (* 135/32 (pow a 2)))) (pow b 5))) |
(* -1 (/ (+ (* -27/16 (pow a 2)) (+ (* -27/32 (pow a 2)) (* 135/32 (pow a 2)))) (pow b 5))) |
(* -1 (/ (+ (* -27/16 (pow a 2)) (+ (* -27/32 (pow a 2)) (* 135/32 (pow a 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))))))) |
(* -9/8 (/ (pow a 2) (pow b 5))) |
(* -9/8 (/ (pow a 2) (pow b 5))) |
(* -9/8 (/ (pow a 2) (pow b 5))) |
(* -9/8 (/ (pow a 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))))))) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(* -1/2 (/ c b)) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(/ -1/2 b) |
(* -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)))))))) |
(* -1/3 b) |
(* -1/3 b) |
(* -1/3 b) |
(* -1/3 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))))))) |
(/ -3/2 b) |
(* -1 (/ (+ 3/2 (* 9/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 3/2 (* 27/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -9/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 3/2 (* -1 (/ (+ (* -81/32 (* (pow a 3) (pow c 3))) (* -81/128 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -27/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -9/8 (/ (* a c) (pow b 2))))) b)) |
(* -2 (/ b (* a c))) |
(* -1 (* b (- (* 2 (/ 1 (* a c))) (* 3/2 (/ 1 (pow b 2)))))) |
(* -1 (* b (- (+ (* -9/8 (/ (* a c) (pow b 4))) (* 2 (/ 1 (* a c)))) (* 3/2 (/ 1 (pow b 2)))))) |
(* -1 (* b (- (+ (* -9/8 (/ (* a c) (pow b 4))) (* 2 (/ 1 (* a c)))) (* 3/2 (/ 1 (pow b 2)))))) |
(* 2 (pow b 4)) |
(* (pow b 4) (+ 2 (+ (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) (pow b 2))) (* 3/2 (/ (* a c) (pow b 2)))))) |
(* (pow b 4) (+ 2 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))) |
(* (pow b 4) (+ 2 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (pow b 6))) (+ (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* 1/3 (/ (+ (* -3 c) (+ (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) a)) (* 3/2 c))) (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* 1/3 (/ (+ (* -3 c) (+ (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) a)) (* 3/2 c))) (pow b 2))) (+ (* 1/3 (/ (+ (* -3/2 (* a (* c (+ (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) a)) (* 3/2 c))))) (+ (* -9/8 (* a (pow c 2))) (+ (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) a)) (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) a))))) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* 1/3 (/ (+ (* -3 c) (+ (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) a)) (* 3/2 c))) (pow b 2))) (+ (* 1/3 (/ (+ (* -3/2 (* a (* c (+ (* -9/8 (* a (pow c 2))) (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) a)))))) (+ (* -1 (/ (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))) a)) (+ (* -1/2 (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (+ (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) a)) (* 3/2 c)))) (+ (* -1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) a)) (* 27/16 (* (pow a 2) (pow c 3))))))) (pow b 6))) (+ (* 1/3 (/ (+ (* -3/2 (* a (* c (+ (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) a)) (* 3/2 c))))) (+ (* -9/8 (* a (pow c 2))) (+ (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) a)) (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) a))))) (pow b 4))) (* 2/3 (/ 1 a))))))) |
0 |
0 |
0 |
0 |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(pow b 2) |
(/ -3/2 b) |
(* -1 (/ (+ 3/2 (* 9/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 3/2 (* 27/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -9/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 3/2 (* -1 (/ (+ (* -81/32 (* (pow a 3) (pow c 3))) (* -81/128 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -27/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -9/8 (/ (* a c) (pow b 2))))) b)) |
(* -1 (/ (+ (* -27/16 (pow a 2)) (* 135/32 (pow a 2))) (pow b 5))) |
(* -1 (/ (+ (* -27/16 (pow a 2)) (* 135/32 (pow a 2))) (pow b 5))) |
(* -1 (/ (+ (* -27/16 (pow a 2)) (* 135/32 (pow a 2))) (pow b 5))) |
(* -1 (/ (+ (* -27/16 (pow a 2)) (* 135/32 (pow a 2))) (pow b 5))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* -1/3 b) |
(* -1 (* b (+ 1/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1/3 (+ (* -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)))))))) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(* 3/2 (/ c b)) |
(* -1 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(pow b 4) |
(* (pow b 4) (+ 1 (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) (pow b 2))))) |
(* (pow b 4) (+ 1 (+ (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) (pow b 2))) (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* -1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (pow b 6))) (+ (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) (pow b 2))) (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 4))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) (pow b 2))) (* 3/2 (/ (* a c) (pow b 2)))))))) |
(* -1 (* b (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -3/2 (/ (* a (* c (+ (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (* 3/2 (* a c))))) (pow b 4))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))))))) |
(* -1 (* b (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -3/2 (/ (* a (* c (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 1/2 (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))))))) (pow b 6))) (+ (* -3/2 (/ (* a (* c (+ (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (* 3/2 (* a c))))) (pow b 4))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (+ (* -1 (/ (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))) (pow b 6))) (+ (* -1/2 (/ (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (+ (* 1/2 (+ (* -3 (* a c)) (* 3 (* a c)))) (* 3/2 (* a c)))) (pow b 6))) (+ (* -1/4 (/ (* (+ (* -3 (* a c)) (* 3 (* a c))) (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2)))) (pow b 6))) (+ (* 1/2 (/ (+ (* -3 (* a c)) (* 3 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -9 (* (pow a 2) (pow c 2))) (* 1/4 (pow (+ (* -3 (* a c)) (* 3 (* a c))) 2))) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))))))))))))))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (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))))))) |
(* -9/8 (/ (pow a 2) (pow b 5))) |
(* -9/8 (/ (pow a 2) (pow b 5))) |
(* -9/8 (/ (pow a 2) (pow b 5))) |
(* -9/8 (/ (pow a 2) (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))))))) |
(/ (+ (* -1/3 b) (* 1/3 b)) a) |
(/ (+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b))) a) |
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))) a) |
(/ (+ (* -1/3 b) (+ (* 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) |
(+ (* -1/3 b) (* 1/3 b)) |
(+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b))) |
(+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))) |
(+ (* -1/3 b) (+ (* 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))))))))) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 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))))))) |
(* -2 (/ b (* a c))) |
(/ (+ (* -2 (/ b c)) (* 3/2 (/ a b))) a) |
(/ (+ (* -2 (/ b c)) (* a (+ (* -1 (* a (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3)))))) (* 3/2 (/ 1 b))))) a) |
(/ (+ (* -2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 27/16 (/ (pow c 2) (pow b 5))))))) (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3)))))) (* 3/2 (/ 1 b))))) a) |
(* -2 (/ b (* a c))) |
(/ (+ (* -2 (/ b c)) (* 3/2 (/ a b))) a) |
(/ (+ (* -2 (/ b c)) (* a (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) a) |
(/ (+ (* -2 (/ b c)) (* a (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) a) |
(+ (* -1 (pow b 4)) (pow b 4)) |
(+ (* -1 (pow b 4)) (+ (* a (+ (* -3/2 (* (pow b 2) c)) (* 1/2 (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))))) (pow b 4))) |
(+ (* -1 (pow b 4)) (+ (* a (+ (* -3/2 (* (pow b 2) c)) (+ (* 1/2 (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* a (+ (* 1/2 (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4))))) (* 9/8 (pow c 2))))))) (pow b 4))) |
(+ (* -1 (pow b 4)) (+ (* a (+ (* -3/2 (* (pow b 2) c)) (+ (* 1/2 (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* a (+ (* 1/2 (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4))))) (+ (* 9/8 (pow c 2)) (* a (+ (* -27/16 (/ (pow c 3) (pow b 2))) (* -1/4 (/ (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4))))) (pow b 4))))))))))) (pow b 4))) |
(* 1/3 (/ (+ (* -1 (pow b 4)) (pow b 4)) (* a (pow b 3)))) |
(/ (+ (* 1/3 (* a (+ (* -3/2 (/ c b)) (+ (* -3/2 (/ (* c (+ (* -1 (pow b 4)) (pow b 4))) (pow b 5))) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 3))))))) (* 1/3 (/ (+ (* -1 (pow b 4)) (pow b 4)) (pow b 3)))) a) |
(/ (+ (* 1/3 (/ (+ (* -1 (pow b 4)) (pow b 4)) (pow b 3))) (* a (+ (* 1/3 (* a (+ (* -3/2 (/ (* c (+ (* -3/2 c) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 2))))) (pow b 3))) (+ (* -1/2 (/ (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (+ (* -1 (pow b 4)) (pow b 4))) b)) (+ (* 1/2 (/ (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4)))) (pow b 3))) (* 9/8 (/ (pow c 2) (pow b 3)))))))) (* 1/3 (+ (* -3/2 (/ c b)) (+ (* -3/2 (/ (* c (+ (* -1 (pow b 4)) (pow b 4))) (pow b 5))) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 3))))))))) a) |
(/ (+ (* 1/3 (/ (+ (* -1 (pow b 4)) (pow b 4)) (pow b 3))) (* a (+ (* 1/3 (+ (* -3/2 (/ c b)) (+ (* -3/2 (/ (* c (+ (* -1 (pow b 4)) (pow b 4))) (pow b 5))) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 3)))))) (* a (+ (* 1/3 (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (+ (* 1/2 (/ (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4)))) (pow b 2))) (* 9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (+ (* -3/2 c) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 2))))))) (+ (* -1/2 (/ (* (+ (* -1 (pow b 4)) (pow b 4)) (+ (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 8))))) b)) (* -1/4 (/ (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4))))) (pow b 7))))))))) (* 1/3 (+ (* -3/2 (/ (* c (+ (* -3/2 c) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 2))))) (pow b 3))) (+ (* -1/2 (/ (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (+ (* -1 (pow b 4)) (pow b 4))) b)) (+ (* 1/2 (/ (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4)))) (pow b 3))) (* 9/8 (/ (pow c 2) (pow b 3)))))))))))) a) |
(* -2 (/ b (* a c))) |
(/ (+ (* -2 (/ b c)) (* 3/2 (/ a b))) a) |
(/ (+ (* -2 (/ b c)) (* a (+ (* -1 (* a (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3)))))) (* 3/2 (/ 1 b))))) a) |
(/ (+ (* -2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 27/16 (/ (pow c 2) (pow b 5))))))) (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3)))))) (* 3/2 (/ 1 b))))) a) |
(* -81/32 (/ (pow a 2) (pow b 5))) |
(* -81/32 (/ (pow a 2) (pow b 5))) |
(* -81/32 (/ (pow a 2) (pow b 5))) |
(* -81/32 (/ (pow a 2) (pow b 5))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 1/3 b) |
(+ (* -1/2 (/ (* a c) b)) (* 1/3 b)) |
(+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 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 (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(* 3/2 (/ c b)) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))) |
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))) |
(pow b 4) |
(+ (* 1/2 (* a (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (pow b 4)) |
(+ (* a (+ (* 1/2 (* a (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4)))))) (* 1/2 (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))))) (pow b 4)) |
(+ (* a (+ (* 1/2 (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* a (+ (* -1/4 (/ (* a (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4)))))) (pow b 4))) (* 1/2 (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4))))))))) (pow b 4)) |
(/ (+ (* -1 (pow b 4)) (pow b 4)) (pow b 3)) |
(+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (+ (* -3/2 (/ (* c (+ (* -1 (pow b 4)) (pow b 4))) (pow b 5))) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 3)))))))) |
(+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (+ (* -3/2 (/ (* c (+ (* -1 (pow b 4)) (pow b 4))) (pow b 5))) (+ (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 3))) (* a (+ (* -3/2 (/ (* c (+ (* -3/2 c) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 2))))) (pow b 3))) (+ (* -1/2 (/ (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (+ (* -1 (pow b 4)) (pow b 4))) b)) (+ (* 1/2 (/ (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4)))) (pow b 3))) (* 9/8 (/ (pow c 2) (pow b 3))))))))))))) |
(+ b (+ (* -1 b) (* a (+ (* -3/2 (/ c b)) (+ (* -3/2 (/ (* c (+ (* -1 (pow b 4)) (pow b 4))) (pow b 5))) (+ (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 3))) (* a (+ (* -3/2 (/ (* c (+ (* -3/2 c) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 2))))) (pow b 3))) (+ (* -1/2 (/ (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (+ (* -1 (pow b 4)) (pow b 4))) b)) (+ (* 1/2 (/ (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4)))) (pow b 3))) (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (+ (* 1/2 (/ (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4)))) (pow b 2))) (* 9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (+ (* -3/2 c) (* 1/2 (/ (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (pow b 2))))))) (+ (* -1/2 (/ (* (+ (* -1 (pow b 4)) (pow b 4)) (+ (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 8))))) b)) (* -1/4 (/ (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (* -9 (pow c 2)) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (pow b 4))))) (pow b 7))))))))))))))))))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (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)))))) |
(* -9/8 (/ (pow a 2) (pow b 5))) |
(* -9/8 (/ (pow a 2) (pow b 5))) |
(* -9/8 (/ (pow a 2) (pow b 5))) |
(* -9/8 (/ (pow a 2) (pow b 5))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* 1/3 (* (sqrt (* 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))))))) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 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 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(/ (+ (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (* c (pow (sqrt -3) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (* -3 (/ b (* c (pow (sqrt -3) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* 3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -3 (/ b (* c (pow (sqrt -3) 2)))) (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) a) |
(* 9/8 (/ (* a c) (pow b 3))) |
(* a (+ (* 9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b))))) |
(* a (+ (* -2 (/ b (* (pow a 2) c))) (+ (* 9/8 (/ c (pow b 3))) (/ 3/2 (* a b))))) |
(* a (+ (* -2 (/ b (* (pow a 2) c))) (+ (* 9/8 (/ c (pow b 3))) (/ 3/2 (* a b))))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (* (pow b 2) (* c (sqrt -9))))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (+ (* 1/2 (/ (* (pow b 2) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* a (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (+ (* 1/2 (/ (* (pow b 2) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* a (* c (sqrt -9))))) (+ (* 1/2 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2)))))) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (+ (* -1/4 (/ (* (pow b 2) (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))))) (* (pow a 3) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (* (pow b 2) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* a (* c (sqrt -9))))) (+ (* 1/2 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2)))))) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))))))) |
(* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (* (pow b 2) (* c (sqrt -9))))) (pow b 2)))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (sqrt -9)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (* (pow b 2) (* c (sqrt -9))))) (pow b 2))))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (sqrt -9)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (* (pow b 2) (* c (sqrt -9))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (* (pow b 2) (* c (sqrt -9)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (+ (* -1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))) (* c (sqrt -9)))))))) (pow a 2))))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (sqrt -9)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (* (pow b 2) (* c (sqrt -9))))) (pow b 2)))) (+ (* 1/3 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 7)))) (/ (* (sqrt 1/3) (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))))) (pow (sqrt -9) 3)))) (+ (* -1/36 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* (sqrt -9) (sqrt 1/3))))) (* 1/54 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (* (pow b 2) (* c (sqrt -9))))) (sqrt 1/3)))))) (pow a 3))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (* (pow b 2) (* c (sqrt -9)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (+ (* -1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))) (* c (sqrt -9)))))))) (pow a 2)))))) |
(* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(/ (+ (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (* c (pow (sqrt -3) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (* -3 (/ b (* c (pow (sqrt -3) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* 3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -3 (/ b (* c (pow (sqrt -3) 2)))) (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) a) |
(* -81/32 (/ (pow a 2) (pow b 5))) |
(* -81/32 (/ (pow a 2) (pow b 5))) |
(* -81/32 (/ (pow a 2) (pow b 5))) |
(* -81/32 (/ (pow a 2) (pow b 5))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -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))))))) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(* 9/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b))))) |
(* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b))))) |
(* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 3/2 (/ c (* a b))))) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* a (+ (* 1/2 (/ (* (pow b 2) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* a (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))) |
(* a (+ (* 1/2 (/ (* (pow b 2) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* a (* c (sqrt -9))))) (+ (* 1/2 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2)))))) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) |
(* a (+ (* -1/4 (/ (* (pow b 2) (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))))) (* (pow a 3) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (* (pow b 2) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* a (* c (sqrt -9))))) (+ (* 1/2 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2)))))) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))))) |
(* (sqrt (/ a c)) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (* (pow b 2) (* c (sqrt -9))))) (pow b 2))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (sqrt -9)))) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (* (pow b 2) (* c (sqrt -9))))) (pow b 2))))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (* (pow b 2) (* c (sqrt -9)))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (sqrt -9)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (* (pow b 2) (* c (sqrt -9))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (+ (* -1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))) (* c (sqrt -9))))))))))) |
(* a (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (* (sqrt 1/3) (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))))) (pow (sqrt -9) 3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (* (pow b 2) (* c (sqrt -9)))) (sqrt 1/3)))) (+ (* -1/36 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* (sqrt -9) (sqrt 1/3))))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (* (pow b 2) (* c (sqrt -9))))) (sqrt 1/3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt 1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (sqrt -9)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (* (pow b 2) (* c (sqrt -9))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (+ (* -1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))) (* c (sqrt -9)))))))))))))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (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))))) |
(* -9/8 (/ (pow a 2) (pow b 5))) |
(* -9/8 (/ (pow a 2) (pow b 5))) |
(* -9/8 (/ (pow a 2) (pow b 5))) |
(* -9/8 (/ (pow a 2) (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))))) |
(* -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 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 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 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* c (pow (sqrt 3) 2))))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) a)) |
(* 9/8 (/ (* a c) (pow b 3))) |
(* -1 (* a (- (* -9/8 (/ c (pow b 3))) (* 3/2 (/ 1 (* a b)))))) |
(* -1 (* a (+ (* -9/8 (/ c (pow b 3))) (* -1 (/ (+ (* -2 (/ b (* a c))) (* 3/2 (/ 1 b))) a))))) |
(* -1 (* a (+ (* -9/8 (/ c (pow b 3))) (* -1 (/ (+ (* -2 (/ b (* a c))) (* 3/2 (/ 1 b))) a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9)))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (+ (* -1/2 (/ (* (pow b 2) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* a (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2)))))) (* c (sqrt -9))))) a)) (* 1/2 (/ (* (pow b 2) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* c (sqrt -9))))) a)) (* (pow b 2) (* c (sqrt -9))))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (+ (* 1/4 (/ (* (pow b 2) (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))))) (* a (* (pow c 3) (pow (sqrt -9) 3))))) (* 1/2 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2)))))) (* c (sqrt -9)))))) a)) (* 1/2 (/ (* (pow b 2) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* c (sqrt -9))))) a)) (* (pow b 2) (* c (sqrt -9))))))) |
(* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9)))))) (pow b 2)))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9)))))) (pow b 2)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9))))) |
(+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))) (* c (sqrt -9))))))))) a))) a)) (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9)))))) (pow b 2))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))) (* c (sqrt -9)))))))))) (* 1/3 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 7)))) (/ (* (sqrt -1) (* (sqrt -1/3) (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2)))))))) (pow (sqrt -9) 3)))) (+ (* -1/36 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (* (sqrt -9) (sqrt -1/3))))) (* -1/54 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9)))))) (sqrt -1/3)))))) a))) a)) (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9))))) a)) (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9)))))) (pow b 2))))) |
(* -3 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* c (pow (sqrt 3) 2))))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) a)) |
(* -81/32 (/ (pow a 2) (pow b 5))) |
(* -81/32 (/ (pow a 2) (pow b 5))) |
(* -81/32 (/ (pow a 2) (pow b 5))) |
(* -81/32 (/ (pow a 2) (pow b 5))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* 405/64 (/ (pow a 2) (pow b 6))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 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 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 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 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(* 9/8 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (* (pow b 2) (* c (sqrt -9))))) |
(* -1 (* a (+ (* -1/2 (/ (* (pow b 2) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* a (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2)))))) (* a (* c (sqrt -9))))) (* 1/2 (/ (* (pow b 2) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* c (sqrt -9))))) a)) (* (pow b 2) (* c (sqrt -9)))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (pow b 2) (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))))) (* a (* (pow c 3) (pow (sqrt -9) 3))))) (* 1/2 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2)))))) (* c (sqrt -9))))) a)) (* 1/2 (/ (* (pow b 2) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* c (sqrt -9))))) a)) (* (pow b 2) (* c (sqrt -9)))))) |
(* -1 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9)))))) (pow b 2)))) |
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9)))) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9)))))) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))) (* c (sqrt -9))))))))) a)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9))))) a)) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9)))))) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 7)))) (/ (* (sqrt -1) (* (sqrt -1/3) (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2)))))))) (pow (sqrt -9) 3)))) (+ (* -1/36 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (* (sqrt -9) (sqrt -1/3))))) (* -1/54 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9)))))) (sqrt -1/3)))))) a)) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))) (* c (sqrt -9)))))))))) a)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9))))) a)) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9)))))) (pow b 2)))))) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/ (+ (* -1/3 b) (* 1/3 b)) a) |
(/.f64 (*.f64 b #s(literal 0 binary64)) a) |
(+ (* -1/2 (/ c b)) (+ (* -1/3 (/ b a)) (* 1/3 (/ b a)))) |
(fma.f64 (/.f64 b a) #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))) |
(fma.f64 (/.f64 b a) #s(literal 0 binary64) (*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b)))) |
(+ (* -1/3 (/ b a)) (+ (* 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)))))) |
(fma.f64 (/.f64 b a) #s(literal 0 binary64) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b))))) |
(+ (* -1/3 b) (* 1/3 b)) |
(*.f64 b #s(literal 0 binary64)) |
(+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b))) |
(fma.f64 b #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b)))) |
(+ (* -1/3 b) (+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))) |
(fma.f64 b #s(literal 0 binary64) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 a b))))) |
(+ (* -1/3 b) (+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))))) |
(fma.f64 b #s(literal 0 binary64) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a a)) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -1/2 binary64) (/.f64 a b))))) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
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(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
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(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(neg.f64 (*.f64 c (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
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(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
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(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
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(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(neg.f64 (*.f64 c (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
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(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
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(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
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(* -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))))))) |
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(* -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))))))) |
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
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(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(neg.f64 (*.f64 c (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b (*.f64 a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(neg.f64 (*.f64 c (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
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(* -3 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))) |
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(* -1 (/ (+ (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* a (pow (sqrt 3) 2))))) c)) |
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(* -1 (/ (+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) c)) |
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 (*.f64 a a) a))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -3/2 binary64) (*.f64 #s(literal -3 binary64) (*.f64 b (/.f64 c (*.f64 a #s(literal 3 binary64)))))) c)) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) c)) |
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 4 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -3/2 binary64))) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 a a) a))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -3/2 binary64))))) c)) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 b c)) (*.f64 a #s(literal 3 binary64)))) c)) c)) |
(* 9/8 (/ (* a c) (pow b 3))) |
(/.f64 (*.f64 #s(literal 9/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) |
(* -1 (* c (- (* -9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c)))))) |
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(* -1 (* c (+ (* -9/8 (/ a (pow b 3))) (* -1 (/ (+ (* -2 (/ b (* a c))) (* 3/2 (/ 1 b))) c))))) |
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(* -1 (* c (+ (* -9/8 (/ a (pow b 3))) (* -1 (/ (+ (* -2 (/ b (* a c))) (* 3/2 (/ 1 b))) c))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal -9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 3/2 binary64) b)) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* a (* (pow b 2) (sqrt -9)))))) |
(neg.f64 (*.f64 c (-.f64 (*.f64 (*.f64 a (*.f64 b b)) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (+ (* -1/2 (/ (* (pow b 2) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* a (* c (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))))) |
(neg.f64 (*.f64 c (-.f64 (fma.f64 a (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -9 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 a (*.f64 b b)) #s(literal 0 binary64))) (*.f64 a (*.f64 c (sqrt.f64 #s(literal -9 binary64))))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2)))) 2) (* (pow a 2) (pow (sqrt -9) 2)))))) (* a (sqrt -9))))) c)) (* 1/2 (/ (* (pow b 2) (+ (* -3 (* a (pow b 2))) (* 3 (* a (pow b 2))))) (* a (sqrt -9))))) c)) (* a (* (pow b 2) (sqrt -9))))))) |
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(* (pow c 2) (+ (* 9/8 (/ a (pow b 3))) (* 3/2 (/ 1 (* b c))))) |
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(* -1 (* a (* (pow b 2) (* c (sqrt -9))))) |
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(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(/ (+ (* -135/32 (pow a 2)) (+ (* 27/32 (pow a 2)) (* 27/16 (pow a 2)))) (pow b 5)) |
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(/ (+ (* -135/32 (pow a 2)) (+ (* 27/32 (pow a 2)) (* 27/16 (pow a 2)))) (pow b 5)) |
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(/ (+ (* -135/32 (pow a 2)) (+ (* 27/32 (pow a 2)) (* 27/16 (pow a 2)))) (pow b 5)) |
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
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(* -9/8 (/ (pow a 2) (pow b 5))) |
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(* -9/8 (/ (pow a 2) (pow b 5))) |
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(pow b 5) |
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(pow b 5) |
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(pow b 5) |
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(pow b 5) |
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(neg.f64 (*.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64))) (*.f64 a (*.f64 c (sqrt.f64 #s(literal -9 binary64))))) (*.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64)))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2)))))) (* a (* c (sqrt -9))))) (* 1/2 (/ (* (pow b 2) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* c (sqrt -9))))) a)) (* (pow b 2) (* c (sqrt -9)))))) |
(neg.f64 (*.f64 a (-.f64 (*.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64))) (*.f64 c (sqrt.f64 #s(literal -9 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64))) (*.f64 (*.f64 c c) #s(literal -9 binary64)))))) (*.f64 a (*.f64 c (sqrt.f64 #s(literal -9 binary64))))))) a)))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (pow b 2) (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))))) (* a (* (pow c 3) (pow (sqrt -9) 3))))) (* 1/2 (/ (* (pow b 2) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2)))))) (* c (sqrt -9))))) a)) (* 1/2 (/ (* (pow b 2) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c)))) (* c (sqrt -9))))) a)) (* (pow b 2) (* c (sqrt -9)))))) |
(neg.f64 (*.f64 a (-.f64 (*.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64))) (*.f64 c (sqrt.f64 #s(literal -9 binary64))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64))) (*.f64 (*.f64 c c) #s(literal -9 binary64)))))) (*.f64 (*.f64 a (*.f64 (*.f64 c c) c)) (*.f64 #s(literal -9 binary64) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64))) (*.f64 (*.f64 c c) #s(literal -9 binary64))))) (*.f64 c (sqrt.f64 #s(literal -9 binary64))))))) a)) a)))) |
(* -1 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9)))))) (pow b 2)))) |
(neg.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 b b))) |
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9)))) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9)))))) (pow b 2)))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64)))) (sqrt.f64 #s(literal -9 binary64)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 b b))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))) (* c (sqrt -9))))))))) a)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9))))) a)) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9)))))) (pow b 2)))))) |
(neg.f64 (*.f64 a (-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 b b)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64)))) (sqrt.f64 #s(literal -9 binary64)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64))) (*.f64 (*.f64 c c) #s(literal -9 binary64))))) (*.f64 c (sqrt.f64 #s(literal -9 binary64))))))) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 a (*.f64 (*.f64 c c) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1/3 binary64)))))) a)) a)))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 7)))) (/ (* (sqrt -1) (* (sqrt -1/3) (* (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2)))))))) (pow (sqrt -9) 3)))) (+ (* -1/36 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (* (sqrt -9) (sqrt -1/3))))) (* -1/54 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9)))))) (sqrt -1/3)))))) a)) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))) (* 1/2 (/ (- (pow b 4) (* 1/4 (/ (pow (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))) 2) (* (pow c 2) (pow (sqrt -9) 2))))) (* c (sqrt -9)))))))))) a)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -3 (* (pow b 2) c)) (* 3 (* (pow b 2) c))))) (sqrt -9))))) a)) (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (+ (* -1 (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))) (* (pow b 2) (* c (sqrt -9)))))) (pow b 2)))))) |
(neg.f64 (*.f64 a (-.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 b b)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64)))) (sqrt.f64 #s(literal -9 binary64)))) (/.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64))) (*.f64 (*.f64 c c) #s(literal -9 binary64))))) (*.f64 c (sqrt.f64 #s(literal -9 binary64))))))) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 a (*.f64 (*.f64 c c) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1/3 binary64)))))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 7 binary64)))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64))) (*.f64 (*.f64 c c) #s(literal -9 binary64))))))) (*.f64 #s(literal -9 binary64) (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 (*.f64 #s(literal -1/36 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 b b) c) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 (*.f64 #s(literal -1/54 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (sqrt.f64 #s(literal -1/3 binary64)))))) a)) a)) a)))) |
| 5 372× | lower-*.f32 |
| 5 332× | lower-*.f64 |
| 5 024× | lower-fma.f32 |
| 5 002× | lower-fma.f64 |
| 2 340× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 699 |
| 0 | 165 | 626 |
| 1 | 661 | 580 |
| 2 | 5695 | 577 |
| 0 | 9177 | 577 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 b #s(literal 5 binary64)) |
(fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) |
(/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) |
(+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) |
(*.f64 (neg.f64 b) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c))) |
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c)) |
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.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)) |
(*.f64 #s(literal 0 binary64) b) |
(+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) |
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) |
(fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) |
(/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) |
(/.f64 a (*.f64 (*.f64 b b) b)) |
(*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b))) |
(*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 b #s(literal 5/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 b #s(literal 5/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 b #s(literal 1 binary64)) #s(literal 5/2 binary64)) (pow.f64 (pow.f64 b #s(literal 1 binary64)) #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 b b) b) b) #s(literal 5/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 5/2 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)) #s(literal 5/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) b) b)) #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 b #s(literal 5/2 binary64)) (pow.f64 b #s(literal 5/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 5 binary64)) |
(pow.f64 (pow.f64 b #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 5/2 binary64)) |
(pow.f64 b #s(literal 5 binary64)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 b))) #s(literal 5 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 b #s(literal 5/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 5 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) a) (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) a)) #s(literal 9/16 binary64) (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) (neg.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64))))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) a) (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) a)) #s(literal 9/16 binary64)) (*.f64 (*.f64 #s(literal -3/4 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b)))) (pow.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) a) (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) a)) #s(literal 9/16 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64))))) (-.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64))))) (*.f64 (*.f64 #s(literal -3/4 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))))))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) (neg.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64))))))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) a) (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) a)) #s(literal 9/16 binary64) (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64))))) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) a) (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) a)) #s(literal 9/16 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64))))) (-.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64))))) (*.f64 (*.f64 #s(literal -3/4 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) a) (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) a)) #s(literal 9/16 binary64)) (*.f64 (*.f64 #s(literal -3/4 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b)))) (pow.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64))))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) b (*.f64 (*.f64 #s(literal -3/4 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))))) (fma.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) b (*.f64 (*.f64 #s(literal -3/4 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b)))))) (pow.f64 (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64)))) #s(literal 2 binary64))) (-.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) b (*.f64 (*.f64 #s(literal -3/4 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))))) (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) a) (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) a)) #s(literal 9/16 binary64))) (-.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64))))) (*.f64 (*.f64 #s(literal -3/4 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) b (*.f64 (*.f64 #s(literal -3/4 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))))) #s(literal 3 binary64)) (*.f64 (pow.f64 b #s(literal -15 binary64)) (pow.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) b (*.f64 (*.f64 #s(literal -3/4 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))))) (fma.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) b (*.f64 (*.f64 #s(literal -3/4 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b))))) b (*.f64 (*.f64 #s(literal -3/4 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))))) (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) a) (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) a)) #s(literal 9/16 binary64) (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64))))) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) (neg.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64))))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) a) (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) a)) #s(literal 9/16 binary64)) (*.f64 (*.f64 #s(literal -3/4 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b)))) (pow.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64))))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) a) (*.f64 (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))) a)) #s(literal 9/16 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64))))) (-.f64 (fma.f64 (*.f64 #s(literal -2/3 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64))))) (*.f64 (*.f64 #s(literal -3/4 binary64) a) (/.f64 (*.f64 #s(literal -9/8 binary64) a) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b))))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b))) a) #s(literal -3/4 binary64)) (fma.f64 (*.f64 #s(literal -2/3 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal -5 binary64)))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) b) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) b)) #s(literal 4/9 binary64) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 27/16 binary64) a) (*.f64 a (pow.f64 b #s(literal -5 binary64)))) #s(literal 2 binary64)))))) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -2/3 binary64) b) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 405/64 binary64))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) (*.f64 b b)))) (*.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal -5 binary64)))))) |
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(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b)))) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 b b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b)) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b)) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b)) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (*.f64 b b)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b)))) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b)) (-.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b)))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 b b))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b)) (-.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b)))) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 b b)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b)) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b)) #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b)) (-.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))))))) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b)) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b)) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b)) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b)) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b)) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))))) |
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 b b)) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 b b) b))))) #s(literal -1 binary64))) |
Compiled 94 887 to 5 739 computations (94% saved)
88 alts after pruning (84 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 537 | 22 | 1 559 |
| Fresh | 15 | 62 | 77 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 556 | 88 | 1 644 |
| Status | Accuracy | Program |
|---|---|---|
| 52.5% | (fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal -1/3 binary64) b) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) | |
| 53.3% | (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) | |
| 53.6% | (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 52.4% | (/.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)) | |
| 53.2% | (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) b) b)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.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)) | |
| 53.0% | (/.f64 (/.f64 (fma.f64 (*.f64 (neg.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 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.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)) | |
| 53.1% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.4% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 #s(literal 0 binary64) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (neg.f64 b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (+.f64 #s(literal 0 binary64) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 54.4% | (/.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))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 53.7% | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 52.2% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
| 52.0% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) 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)) | |
| 53.2% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| 53.2% | (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -3 binary64)))) | |
| ✓ | 53.2% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) |
| ▶ | 54.4% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
| 53.6% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) | |
| 92.7% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/9 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) c)) #s(literal 3 binary64))) | |
| 92.7% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 a (fma.f64 a (fma.f64 (neg.f64 a) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/9 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 c c))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))) a)) #s(literal 3 binary64))) | |
| 90.0% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 b c) (*.f64 a (fma.f64 a (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) b)))) a)) #s(literal 3 binary64))) | |
| 83.5% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c)) #s(literal 3 binary64))) | |
| 83.5% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))))) #s(literal 3 binary64))) | |
| 92.6% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 b (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 c (*.f64 (*.f64 a c) #s(literal -3/8 binary64))) (fma.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 (*.f64 a a) (*.f64 c c))) (*.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/4 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal 3/8 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))))))) #s(literal 3 binary64))) | |
| ▶ | 92.9% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) |
| 92.9% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 a (fma.f64 a (fma.f64 (neg.f64 a) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 c c))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b c))) a))) | |
| 83.7% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) | |
| 83.6% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))) a))) | |
| 90.0% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b c) (*.f64 a (fma.f64 a (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) a))) | |
| 83.6% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 b (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c)))))) | |
| 89.9% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) #s(approx (/ (+ (* -2 (/ b a)) (* c (+ (* c (* (/ a (* (* b b) b)) 9/8)) (/ 3/2 b)))) c) (/.f64 (fma.f64 (*.f64 #s(literal 9/8 binary64) a) c (*.f64 (*.f64 b b) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 b b) (*.f64 a c)) #s(literal 3/2 binary64)))) (*.f64 (*.f64 b b) b))))) | |
| 89.9% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) #s(approx (/ (+ (* -2 (/ b a)) (* c (+ (* c (* (/ a (* (* b b) b)) 9/8)) (/ 3/2 b)))) c) (*.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a (*.f64 c c))) (fma.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 3/2 binary64) (*.f64 b c)))))))) | |
| 89.9% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) #s(approx (/ (+ (* -2 (/ b a)) (* c (+ (* c (* (/ a (* (* b b) b)) 9/8)) (/ 3/2 b)))) c) (*.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 b (*.f64 (*.f64 a a) c)) (fma.f64 #s(literal 9/8 binary64) (/.f64 c (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 3/2 binary64) (*.f64 a b)))))))) | |
| 90.0% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) #s(approx (/ (+ (* -2 (/ b a)) (* c (+ (* c (* (/ a (* (* b b) b)) 9/8)) (/ 3/2 b)))) c) (neg.f64 (*.f64 c (fma.f64 #s(literal -9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 3/2 binary64) b)) c)))))))) | |
| 90.0% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) #s(approx (/ (+ (* -2 (/ b a)) (* c (+ (* c (* (/ a (* (* b b) b)) 9/8)) (/ 3/2 b)))) c) (neg.f64 (*.f64 a (fma.f64 #s(literal -9/8 binary64) (/.f64 c (*.f64 (*.f64 b b) b)) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal 3/2 binary64) b)) a)))))))) | |
| 53.9% | (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 54.4% | (/.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)))))) | |
| 53.2% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 53.2% | (/.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)) | |
| 52.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.8% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 54.4% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 54.6% | (/.f64 (*.f64 (fma.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/3 binary64) b) (-.f64 (*.f64 #s(literal -1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))))) | |
| 54.6% | (/.f64 (*.f64 (fma.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/3 binary64) b) (-.f64 (*.f64 #s(literal -1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))) a)) | |
| 92.7% | (/.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64))) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) | |
| 89.8% | (/.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64))) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (fma.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))) c))) | |
| 54.4% | (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.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))) b)) | |
| 53.2% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 91.5% | (/.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) | |
| 66.4% | (/.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)) | |
| 66.4% | (/.f64 #s(approx (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 53.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
| 53.2% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 53.2% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -3 binary64) a))) | |
| 52.3% | (-.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)))) | |
| 52.4% | (+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) | |
| 53.2% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 53.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b))) | |
| 53.3% | (*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) | |
| 54.6% | (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (fma.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (fma.f64 #s(literal 1/9 binary64) (*.f64 b b) (-.f64 (*.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))))) | |
| 53.8% | (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 b b)) (*.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (-.f64 (*.f64 #s(literal -1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))) | |
| 54.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) #s(literal 1/3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 52.3% | (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 b #s(literal -1/3 binary64)))) | |
| 52.4% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (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)))) | |
| 52.8% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))))) | |
| 53.0% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 (neg.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 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))))) | |
| 54.4% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.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))) b)))) | |
| 53.7% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b b) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) | |
| ✓ | 53.2% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
| 66.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (* (neg b) 1/3)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b))))) | |
| 53.2% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) | |
| 53.2% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1/3 binary64)) | |
| 92.7% | #s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| 83.2% | #s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| 83.2% | #s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 11.4% | #s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 92.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) c) (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/2 binary64) c)))) b)) | |
| 92.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)))) (fma.f64 #s(literal -1/2 binary64) c (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b))))) b)) | |
| 92.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c))))) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 92.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a a) a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) (fma.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b b) c))))))) (pow.f64 b #s(literal 6 binary64)))) b)) | |
| 89.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) #s(literal -1/2 binary64)))) b)) | |
| 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) | |
| ▶ | 66.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| 92.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 89.7% | #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 (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 66.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ✓ | 66.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
Compiled 6 682 to 3 404 computations (49.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 640 | (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) | |
| cost-diff | 3264 | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) a) | |
| cost-diff | 896 | (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 1088 | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| cost-diff | 0 | (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) | |
| cost-diff | 0 | (/.f64 b c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| cost-diff | 384 | (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) | |
| cost-diff | 0 | #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) a) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) | |
| cost-diff | 5184 | (pow.f64 b #s(literal 5 binary64)) |
| 8 018× | lower-fma.f32 |
| 8 006× | lower-fma.f64 |
| 4 984× | lower-*.f32 |
| 4 948× | lower-*.f64 |
| 2 696× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 1146 |
| 0 | 164 | 1142 |
| 1 | 330 | 1082 |
| 2 | 872 | 976 |
| 3 | 3135 | 940 |
| 4 | 5681 | 940 |
| 0 | 8230 | 926 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) |
(/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c) |
(fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) |
c |
(fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) |
(fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) |
(neg.f64 c) |
#s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) |
(/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 #s(literal -27/16 binary64) (*.f64 a a)) |
#s(literal -27/16 binary64) |
(*.f64 a a) |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) |
(/.f64 a (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
#s(literal 9/8 binary64) |
(/.f64 #s(literal 3/2 binary64) b) |
#s(literal 3/2 binary64) |
(*.f64 #s(literal -2 binary64) (/.f64 b a)) |
#s(literal -2 binary64) |
(/.f64 b a) |
#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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) |
(/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
#s(literal -3 binary64) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
c |
a |
(*.f64 b b) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 #s(literal -3 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
#s(literal -3 binary64) |
(-.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) |
c |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) |
(sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) |
(fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b)) |
#s(literal -9 binary64) |
(*.f64 (*.f64 (*.f64 c a) c) a) |
(*.f64 (*.f64 c a) c) |
(*.f64 c a) |
c |
a |
(*.f64 (*.f64 (*.f64 b b) b) b) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
b |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b)) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b)) |
(*.f64 #s(literal 3 binary64) a) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 (*.f64 a a) #s(literal -27/16 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) c (*.f64 (/.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 b b) b)) a))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c)) a)) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) |
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 (*.f64 a a) #s(literal -27/16 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) c (*.f64 (/.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 b b) b)) a))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c)) |
(/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c) |
(/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 (*.f64 a a) #s(literal -27/16 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) c (*.f64 (/.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 b b) b)) a))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c) |
(fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 (*.f64 a a) #s(literal -27/16 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) c (*.f64 (/.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 b b) b)) a))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) |
c |
(fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) |
(fma.f64 (neg.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 (*.f64 a a) #s(literal -27/16 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) c (*.f64 (/.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 b b) b)) a))) c (/.f64 #s(literal 3/2 binary64) b)) |
(fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) |
(neg.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 (*.f64 a a) #s(literal -27/16 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) c (*.f64 (/.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 b b) b)) a))) |
(neg.f64 c) |
#s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) |
#s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 (*.f64 a a) #s(literal -27/16 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) |
(/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 (*.f64 (*.f64 a a) #s(literal -27/16 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b)) |
(*.f64 #s(literal -27/16 binary64) (*.f64 a a)) |
(*.f64 (*.f64 a a) #s(literal -27/16 binary64)) |
#s(literal -27/16 binary64) |
(*.f64 a a) |
(pow.f64 b #s(literal 5 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) |
b |
#s(literal 5 binary64) |
(*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64)) |
(*.f64 #s(literal 9/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b))) |
(/.f64 a (*.f64 (*.f64 b b) b)) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
#s(literal 9/8 binary64) |
(/.f64 #s(literal 3/2 binary64) b) |
#s(literal 3/2 binary64) |
(*.f64 #s(literal -2 binary64) (/.f64 b a)) |
(*.f64 (/.f64 b a) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 b a) |
#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 (/.f64 #s(literal -1/2 binary64) b) c)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
#s(literal -1/2 binary64) |
(/.f64 b c) |
b |
c |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) |
(/.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
(/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
#s(literal -3 binary64) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
c |
a |
(*.f64 b b) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a)) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (/.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(/.f64 #s(literal -3 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(/.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
#s(literal -3 binary64) |
(-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 b b) |
b |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
c |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) c) a) #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 b b) b) b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) c) a) #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 b b) b) b))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))) b) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) |
(*.f64 (*.f64 b b) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) c) a) #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 b b) b) b))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) c) a) #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) |
(sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c a) c) a) #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 b b) b) b))) |
(fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b)) |
(fma.f64 (*.f64 (*.f64 (*.f64 c a) c) a) #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 b b) b) b)) |
#s(literal -9 binary64) |
(*.f64 (*.f64 (*.f64 c a) c) a) |
(*.f64 (*.f64 c a) c) |
(*.f64 c a) |
c |
a |
(*.f64 (*.f64 (*.f64 b b) b) b) |
(*.f64 (*.f64 b b) b) |
(*.f64 b b) |
b |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) b)) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (*.f64 b b)) |
(*.f64 #s(literal 3 binary64) a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.34212875976844204 | (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) | |
| accuracy | 0.371757519536884 | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 0.4108200195368841 | (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) | |
| accuracy | 30.1542513034399 | (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) | |
| accuracy | 0.2421875 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 0.31869125976844204 | (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 0.33203125 | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| accuracy | 29.376173523910268 | (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| accuracy | 0.26171875 | (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| accuracy | 0.27734375 | (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) | |
| accuracy | 0.28125 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) | |
| accuracy | 29.89258728125227 | (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 0.3203125 | (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) | |
| accuracy | 21.429382871463275 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| accuracy | 0.3046875 | (/.f64 a (*.f64 (*.f64 b b) b)) | |
| accuracy | 0.33203125 | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) | |
| accuracy | 0.34212875976844204 | (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 4.173453628750538 | #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) |
| 155.0ms | 96× | 1 | valid |
| 130.0ms | 160× | 0 | valid |
Compiled 969 to 100 computations (89.7% saved)
ival-mult: 101.0ms (45% of total)ival-div: 51.0ms (22.7% of total)ival-add: 24.0ms (10.7% of total)ival-pow: 12.0ms (5.4% of total)adjust: 11.0ms (4.9% of total)ival-sqrt: 9.0ms (4% of total)ival-sub: 6.0ms (2.7% of total)const: 5.0ms (2.2% of total)exact: 2.0ms (0.9% of total)ival-neg: 2.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (pow.f64 b #s(literal 5 binary64)) (patch (pow.f64 b #s(literal 5 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) a) (patch (/.f64 #s(literal 1 binary64) a) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) (patch #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) #<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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) (patch (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (patch (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #<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 -3 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (patch (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (patch (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 a (*.f64 (*.f64 b b) b)) (patch (/.f64 a (*.f64 (*.f64 b b) b)) #<representation binary64>) () ()) |
#s(alt (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) #<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 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) #<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 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ b (* a c))) (taylor 0 c) (#s(alt #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) (patch #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ b a)) (* 3/2 (/ c b))) c) (taylor 0 c) (#s(alt #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) (patch #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ b a)) (* c (+ (* -1 (* c (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c) (taylor 0 c) (#s(alt #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) (patch #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c) (taylor 0 c) (#s(alt #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) (patch #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#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 (* -1/2 (/ c b)) (taylor 0 c) (#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 (* -1/2 (/ c b)) (taylor 0 c) (#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 (* -1/2 (/ c b)) (taylor 0 c) (#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 (* -1/2 (/ c b)) (taylor 0 c) (#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 (* 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)) (/.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 (* 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)) (/.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 (* 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)) (/.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 (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 67.0ms | a | @ | inf | ((pow b 5) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ 1 (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a)) (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ (/ 1 a) (* (/ -3 (- (* b b) (+ (* (* -3 c) a) (* b b)))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) (- (* b b) (+ (* (* -3 c) a) (* b b))) (* (/ -3 (- (* b b) (+ (* (* -3 c) a) (* b b)))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (/ (/ (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* 3 a)) (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (/ (* -27/16 (* a a)) (pow b 5)) (/ a (* (* b b) b)) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) |
| 35.0ms | a | @ | -inf | ((pow b 5) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ 1 (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a)) (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ (/ 1 a) (* (/ -3 (- (* b b) (+ (* (* -3 c) a) (* b b)))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) (- (* b b) (+ (* (* -3 c) a) (* b b))) (* (/ -3 (- (* b b) (+ (* (* -3 c) a) (* b b)))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (/ (/ (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* 3 a)) (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (/ (* -27/16 (* a a)) (pow b 5)) (/ a (* (* b b) b)) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) |
| 25.0ms | c | @ | -inf | ((pow b 5) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ 1 (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a)) (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ (/ 1 a) (* (/ -3 (- (* b b) (+ (* (* -3 c) a) (* b b)))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) (- (* b b) (+ (* (* -3 c) a) (* b b))) (* (/ -3 (- (* b b) (+ (* (* -3 c) a) (* b b)))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (/ (/ (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* 3 a)) (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (/ (* -27/16 (* a a)) (pow b 5)) (/ a (* (* b b) b)) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) |
| 20.0ms | c | @ | inf | ((pow b 5) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ 1 (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a)) (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ (/ 1 a) (* (/ -3 (- (* b b) (+ (* (* -3 c) a) (* b b)))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) (- (* b b) (+ (* (* -3 c) a) (* b b))) (* (/ -3 (- (* b b) (+ (* (* -3 c) a) (* b b)))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (/ (/ (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* 3 a)) (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (/ (* -27/16 (* a a)) (pow b 5)) (/ a (* (* b b) b)) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) |
| 18.0ms | b | @ | -inf | ((pow b 5) (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/ -1/2 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ b c) (/ 1 (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a)) (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ (/ 1 a) (* (/ -3 (- (* b b) (+ (* (* -3 c) a) (* b b)))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) (- (* b b) (+ (* (* -3 c) a) (* b b))) (* (/ -3 (- (* b b) (+ (* (* -3 c) a) (* b b)))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (/ (/ (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (* 3 a)) (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (/ (* -27/16 (* a a)) (pow b 5)) (/ a (* (* b b) b)) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) |
| 1× | egg-herbie |
| 7 208× | lower-*.f64 |
| 7 208× | lower-*.f32 |
| 5 238× | lower-fma.f64 |
| 5 238× | lower-fma.f32 |
| 4 422× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2579 | 22859 |
| 1 | 7321 | 22631 |
| 0 | 8333 | 21809 |
| 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)))) |
(* -2 (/ b (* a c))) |
(/ (+ (* -2 (/ b a)) (* 3/2 (/ c b))) c) |
(/ (+ (* -2 (/ b a)) (* c (+ (* -1 (* c (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c) |
(/ (+ (* -2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c) |
(* -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)))) |
(* -2 (/ b c)) |
(/ (+ (* -2 b) (* 3/2 (/ (* a c) b))) c) |
(/ (+ (* -2 b) (* c (+ (* 3/2 (/ a b)) (* 3 (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* 3/4 (/ (pow a 2) (pow b 3))))))))) c) |
(/ (+ (* -2 b) (* c (+ (* 3/2 (/ a b)) (* c (+ (* 3 (* c (+ (* -3/4 (/ (* a (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* 3/4 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* 2/9 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) a)))))) (* 3 (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* 3/4 (/ (pow a 2) (pow b 3)))))))))) c) |
(* -2 (/ b (* a c))) |
(/ (+ (* -2 (/ b a)) (* 3/2 (/ c b))) c) |
(/ (+ (* -2 (/ b a)) (* c (+ (* -1 (* c (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c) |
(/ (+ (* -2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c) |
(* 3/2 (/ (* a c) b)) |
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* -1/2 (/ c 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)))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -2 (/ b (* a c))) |
(/ (+ (* -2 (/ b a)) (* 3/2 (/ c b))) c) |
(/ (+ (* -2 (/ b a)) (* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) c) |
(/ (+ (* -2 (/ b a)) (* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b))))) c) |
(* -3/2 (/ (* a c) b)) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (* 9/4 (/ (pow a 2) (pow b 3)))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (+ (* 9/4 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (* 3/4 (* a (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))))))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (+ (* 9/4 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))) (pow b 3))) (+ (* 3/4 (* a (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))) (* c (- (+ (* -81/8 (/ (pow a 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (- (* -9/2 (/ (pow a 2) (pow b 2))) (* -9/8 (/ (pow a 2) (pow b 2))))))) (+ (* 3/4 (* a (* b (+ (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 8))))))) (* 81/32 (/ (pow a 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) b)))))))))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* -3/2 (* a (* (pow b 2) c))) |
(* c (- (* c (- (* -9/2 (pow a 2)) (* -9/8 (pow a 2)))) (* 3/2 (* a (pow b 2))))) |
(* c (- (* c (- (+ (* -9/2 (pow a 2)) (* -27/16 (/ (* (pow a 3) c) (pow b 2)))) (* -9/8 (pow a 2)))) (* 3/2 (* a (pow b 2))))) |
(* c (- (* c (- (+ (* -9/2 (pow a 2)) (* c (- (* c (- (* -81/8 (/ (pow a 4) (pow b 4))) (* -1/2 (* (pow b 2) (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))))))) (* 27/16 (/ (pow a 3) (pow b 2)))))) (* -9/8 (pow a 2)))) (* 3/2 (* a (pow b 2))))) |
(* -1/2 (/ c b)) |
(* c (- (* 1/3 (* c (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3)))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* 1/3 (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))) (pow b 3))) (* 3/4 (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))))))))) (* 1/3 (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* 1/3 (- (+ (* -9/2 (/ a (pow b 3))) (* 9/4 (/ a (pow b 3)))) (* -9/8 (/ a (pow b 3))))) (* c (+ (* 1/3 (* c (- (+ (* -81/8 (/ (pow a 3) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6)))) (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))))) (+ (* 3/4 (* b (+ (* 3/2 (/ (* a (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 8)))))) (* 81/32 (/ (pow a 3) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6)))) (* a b)))))) (* 1/3 (+ (* -27/16 (/ (pow a 2) (pow b 5))) (+ (* -3/2 (/ (* a (- (* -9/2 (/ a (pow b 2))) (* -9/8 (/ a (pow b 2))))) (pow b 3))) (* 3/4 (* b (+ (* -9 (/ (pow a 2) (pow b 6))) (* 9/4 (/ (pow a 2) (pow b 6))))))))))))) (* 1/2 (/ 1 b)))) |
(pow b 4) |
(+ (* -9/2 (* (pow a 2) (pow c 2))) (pow b 4)) |
(+ (* (pow c 2) (+ (* -81/8 (/ (* (pow a 4) (pow c 2)) (pow b 4))) (* -9/2 (pow a 2)))) (pow b 4)) |
(+ (* (pow c 2) (+ (* -9/2 (pow a 2)) (* (pow c 2) (+ (* -729/16 (/ (* (pow a 6) (pow c 2)) (pow b 8))) (* -81/8 (/ (pow a 4) (pow b 4))))))) (pow b 4)) |
(* 2 b) |
(+ (* -3/2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* 1/3 (* (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 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(/ (+ (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* 3 (/ b (* a (pow (sqrt -3) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (* -3 (/ b (* a (pow (sqrt -3) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* 3/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -3 (/ b (* a (pow (sqrt -3) 2)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) |
(* -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 (+ (* -1/3 (/ 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 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(/ (+ (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (pow (sqrt -3) 2)))) c) |
(/ (+ (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (* 3 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2))))) c) |
(/ (+ (* 3 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* 3 (/ b (pow (sqrt -3) 2))) (+ (* 3 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2))) (* 3 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (pow c 3)))))) c) |
(* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(/ (+ (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* 3 (/ b (* a (pow (sqrt -3) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (* -3 (/ b (* a (pow (sqrt -3) 2))))) c) |
(/ (- (+ (* -1 (/ (+ (* 3/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow c 3))) (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -3 (/ b (* a (pow (sqrt -3) 2)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))) c) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* -1 (* (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)))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1 (/ b (* a c)))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1 (/ b (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1 (/ b (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3))))))) |
(* (sqrt (/ c a)) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2))) |
(* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))))))))) |
(* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3))))))))))) |
(* c (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (* (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (* (pow b 2) (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (+ (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3))))))) (* (sqrt (/ 1 (* a (pow c 9)))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 5) (pow (sqrt 3) 3)))))))))))))) |
(* c (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) |
(* c (- (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))))) |
(* c (- (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))))) |
(* c (- (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 9) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))))))) |
(* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) |
(* c (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2))))) |
(* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 2) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2)))))) |
(* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 2) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt 1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (+ (* 1/3 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3))))) (* (pow b 2) (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (pow b 5) (pow (sqrt 3) 3))))))))) (pow c 4))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 3) (sqrt 3)))))))) (pow c 2))))))) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* c (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))) |
(* c (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) |
(* c (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))) |
(* 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))))) |
(* -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 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* a (pow (sqrt 3) 2))))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) 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 (/ (+ (* -1/3 (/ 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 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (pow (sqrt 3) 2)))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3 (/ (* b c) (pow (sqrt 3) 2))) (* -3 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) c))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -3 (/ (* b c) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -3 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt 3) 4)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) c)) (* 3 (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c))) c)) (* 3 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3))))) c)) |
(* -3 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* a (pow (sqrt 3) 2))))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* 3 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) c)) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* (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)))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) |
(* -1 (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))) |
(* -1 (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) c)) (* -1/54 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 2) (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow c 3))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -1 (* c (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (- (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* c (- (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))))) |
(* -1 (* c (- (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 9) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))))) |
(* -1/3 (* (sqrt (/ c (pow a 3))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2)))))) |
(* -1 (* c (+ (* 1/162 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 4) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 5))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) c)) (* -1/162 (* (sqrt (/ c (pow a 7))) (/ (* (pow b 2) (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow c 3))) (+ (* 1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (- (* a (* (pow b 2) (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* (pow a 2) (sqrt -9)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow c 2))))))) |
(* -1 (* a (* (pow b 2) (* c (sqrt -9))))) |
(* -1 (* c (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) |
(* -1 (* c (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9))))))) |
(* -1 (* c (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(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))))) |
(* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 3 (/ b (* a (* c (pow (sqrt -3) 2)))))) |
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (+ (* -1 (* b (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* a (* c (pow (sqrt -3) 2)))))))) |
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (+ (* b (- (* -1 (* b (+ (* 3/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* a (* c (pow (sqrt -3) 2)))))))) |
(* -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))))) |
(* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(+ (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (* c (pow (sqrt -3) 2))))) |
(+ (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* b (+ (* 3 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))) (* 3 (/ 1 (* c (pow (sqrt -3) 2))))))) |
(+ (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -3 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (sqrt -3)))))) (* 3 (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* c (pow (sqrt -3) 2))))))) |
(* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 3 (/ b (* a (* c (pow (sqrt -3) 2)))))) |
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (+ (* -1 (* b (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* a (* c (pow (sqrt -3) 2)))))))) |
(+ (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (+ (* b (- (* -1 (* b (+ (* 3/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (* 3 (/ 1 (* a (* c (pow (sqrt -3) 2)))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(- b (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(* -1 (* (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)))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1 (/ b (* a c)))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* b (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ b (sqrt -3)))) (/ 1 (* a c))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* b (- (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 (* a c))))) |
(* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3))) |
(+ (* -1 (* b (* (sqrt 1/3) (sqrt 3)))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* b (+ (* -1 (* (sqrt 1/3) (sqrt 3))) (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (* b (sqrt -9)) (sqrt 1/3)))))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* b (+ (* -1 (* (sqrt 1/3) (sqrt 3))) (* b (+ (* -1/18 (* (sqrt (/ 1 (* a c))) (/ (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/2 (/ (sqrt 1/3) (* a (* c (sqrt 3))))) (* 1/18 (/ (sqrt 3) (* a (* c (sqrt 1/3))))))))))) (* (sqrt (* a c)) (* (sqrt -9) (sqrt 1/3)))) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* (pow b 2) (+ (* -1 (* (sqrt (* a c)) (* b (sqrt 3)))) (* a (* c (sqrt -9))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3)))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* b (- (* (pow b 2) (- (* 1/2 (/ b (* a (* c (sqrt -9))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))))) (* (sqrt (* a c)) (sqrt 3)))))) |
(* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) |
(+ (* -1/3 (/ (* b (* (sqrt 1/3) (sqrt 3))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (sqrt -9)) (sqrt 1/3))))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (* b (+ (* -1/3 (/ (* (sqrt 1/3) (sqrt 3)) a)) (* b (+ (* -1/54 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (sqrt -9) (sqrt 1/3)))) (* 1/3 (* b (+ (* -1/2 (/ (sqrt 1/3) (* (pow a 2) (* c (sqrt 3))))) (* 1/18 (/ (sqrt 3) (* (pow a 2) (* c (sqrt 1/3))))))))))))) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* (pow b 2) (+ (* 1/2 (/ (pow b 4) (* a (* c (sqrt -9))))) (* a (* c (sqrt -9))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* (pow b 4) (+ (* -1/8 (/ (pow b 4) (* (pow a 3) (* (pow c 3) (pow (sqrt -9) 3))))) (* 1/2 (/ 1 (* a (* c (sqrt -9))))))))) |
(* (pow b 2) (+ (* a (* c (sqrt -9))) (* (pow b 4) (+ (* (pow b 4) (- (* 1/16 (/ (pow b 4) (* (pow a 5) (* (pow c 5) (pow (sqrt -9) 5))))) (* 1/8 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -9) 3))))))) (* 1/2 (/ 1 (* a (* c (sqrt -9))))))))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(+ b (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(pow b 5) |
(pow b 5) |
(pow b 5) |
(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) |
(* -2 (/ b (* a c))) |
(* b (- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -9/4 (* a c)) (* 9/8 (* a c))) (pow b 4))) (* 3/2 (/ 1 (pow b 2)))) (* 2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -9/4 (* a c)) (* 9/8 (* a c)))))) (+ (* -2/3 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 27/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 3/2 (/ 1 (pow b 2)))) (+ (* -9/4 (/ (* a c) (pow b 4))) (+ (* 9/8 (/ (* a c) (pow b 4))) (* 2 (/ 1 (* a c))))))) |
(* -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) |
(* -2 (/ b c)) |
(* b (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* b (- (+ (* 3/2 (/ a (pow b 2))) (* 3 (/ (+ (* -3/8 (* (pow a 2) c)) (* 3/4 (* (pow a 2) c))) (pow b 4)))) (* 2 (/ 1 c)))) |
(* b (- (+ (* 3/2 (/ a (pow b 2))) (+ (* 3 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* (pow a 2) c)) (* 3/4 (* (pow a 2) c)))))) (+ (* -9/16 (* (pow a 3) (pow c 2))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))))) (pow b 6))) (* 3 (/ (+ (* -3/8 (* (pow a 2) c)) (* 3/4 (* (pow a 2) c))) (pow b 4))))) (* 2 (/ 1 c)))) |
(* -2 (/ b (* a c))) |
(* b (- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -9/4 (* a c)) (* 9/8 (* a c))) (pow b 4))) (* 3/2 (/ 1 (pow b 2)))) (* 2 (/ 1 (* a c))))) |
(* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -9/4 (* a c)) (* 9/8 (* a c)))))) (+ (* -2/3 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 27/16 (* (pow a 2) (pow c 2))))) (pow b 6))) (* 3/2 (/ 1 (pow b 2)))) (+ (* -9/4 (/ (* a c) (pow b 4))) (+ (* 9/8 (/ (* a c) (pow b 4))) (* 2 (/ 1 (* a c))))))) |
(* 3/2 (/ (* a c) b)) |
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b) |
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* -1/2 (/ c 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) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -2 (/ b (* a c))) |
(* b (- (* 3/2 (/ 1 (pow b 2))) (* 2 (/ 1 (* a c))))) |
(* b (- (+ (* 9/8 (/ (* a c) (pow b 4))) (* 3/2 (/ 1 (pow b 2)))) (* 2 (/ 1 (* a c))))) |
(* b (- (+ (* 9/8 (/ (* a c) (pow b 4))) (+ (* 27/16 (/ (* (pow a 2) (pow c 2)) (pow b 6))) (* 3/2 (/ 1 (pow b 2))))) (* 2 (/ 1 (* a c))))) |
(* -3/2 (/ (* a c) b)) |
(/ (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -3/2 (* a c)) (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* -1/2 (/ (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (- (* -9/2 (* (pow a 2) (pow c 2))) (* -9/8 (* (pow a 2) (pow c 2))))) (pow b 6))) (+ (* 3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 4))) (+ (* 3/4 (/ (* a (* c (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))))) (pow b 6))) (+ (* 9/4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 81/32 (/ (* (pow a 4) (pow c 4)) (pow b 6)))))))))))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))))) b) |
(* -3/2 (* a (* (pow b 2) c))) |
(* (pow b 2) (- (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))))) |
(* (pow b 2) (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))))) |
(* (pow b 2) (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))))) |
(* -1/2 (/ c b)) |
(/ (+ (* -1/2 c) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))) b) |
(/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2))))) b) |
(/ (+ (* -1/2 c) (+ (* 1/3 (/ (+ (* -27/16 (* (pow a 2) (pow c 3))) (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2))))))) (* 3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))) (pow b 4))) (+ (* 1/3 (/ (- (+ (* -81/8 (* (pow a 3) (pow c 4))) (+ (* -1/2 (* (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (- (* -9/2 (* a (pow c 2))) (* -9/8 (* a (pow c 2)))))) (+ (* 3/4 (* c (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))))) (* 81/32 (* (pow a 3) (pow c 4)))))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) a))) (pow b 6))) (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (* 9/4 (* a (pow c 2)))) (* -9/8 (* a (pow c 2)))) (pow b 2)))))) b) |
(pow b 4) |
(* (pow b 4) (+ 1 (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) |
(* (pow b 4) (+ 1 (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* -729/16 (/ (* (pow a 6) (pow c 6)) (pow b 12))) (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(* 2 b) |
(* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 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 5) |
(pow b 5) |
(pow b 5) |
(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))))))) |
(/ -3/2 b) |
(* -1 (/ (+ 3/2 (* 9/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 3/2 (* 27/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -9/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 3/2 (* -1 (/ (+ (* -81/32 (* (pow a 3) (pow c 3))) (* -81/128 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -27/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -9/8 (/ (* a c) (pow b 2))))) b)) |
(* -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))))))) |
(* -3/2 (/ a b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (* 3/2 a)) b)) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 3/2 a) (* 27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))))) b)) |
(* -1 (/ (+ (* -3 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6))) (+ (* 9/8 (/ (* (pow a 2) c) (pow b 2))) (+ (* 3/2 a) (* 27/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))) b)) |
(/ -3/2 b) |
(* -1 (/ (+ 3/2 (* 9/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 3/2 (* 27/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -9/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (- (+ 3/2 (* -1 (/ (+ (* -81/32 (* (pow a 3) (pow c 3))) (* -81/128 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -27/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -9/8 (/ (* a c) (pow b 2))))) b)) |
(* 2 b) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ (* -3/4 (/ (* a (* c (+ (* -3/4 (* a (pow c 2))) (* 3/8 (* a (pow c 2)))))) (pow b 6))) (+ (* -3/4 (/ (* a (pow c 2)) (pow b 4))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (* (pow b 6) c)))) (+ (* 3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a)))))))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(/ -3/2 b) |
(* -1 (/ (+ 3/2 (* 9/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 3/2 (+ (* 9/8 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* -1 (/ (+ 3/2 (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (* (pow b 6) c)))) (+ (* 9/8 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) b)) |
(* -2 b) |
(* -1 (* b (+ 2 (+ (* -3 (/ (* a c) (pow b 2))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (+ 2 (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* -1 (* b (- (+ 2 (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -3 (/ (* a c) (pow b 2))) (+ (* -9/4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -3/2 (/ (* a (* c (- (* -9/2 (* (pow a 2) (pow c 2))) (* 9/8 (* (pow a 2) (pow c 2)))))) (pow b 6))) (+ (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (+ (* -1 (/ (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))) (pow b 6))) (+ (* -3/4 (/ (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (pow b 6))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))))))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 2 (pow b 4)) |
(* (pow b 4) (+ 2 (* 3/2 (/ (* a c) (pow b 2))))) |
(* (pow b 4) (- (+ 2 (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 4) (- (+ 2 (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* 1/3 (/ (+ (* -3 c) (* 3/2 c)) (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* 1/3 (/ (+ (* -3 c) (* 3/2 c)) (pow b 2))) (+ (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (+ (* -9/4 (* a (pow c 2))) (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) a)))) (* 9/8 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* 1/3 (/ (+ (* -3 c) (* 3/2 c)) (pow b 2))) (+ (* 1/3 (/ (+ (* -3/2 (* a (* c (- (* -9/2 (* a (pow c 2))) (* 9/8 (* a (pow c 2))))))) (+ (* -1 (/ (+ (* 3/2 (* a (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2))))))) (* 27 (* (pow a 3) (pow c 3)))) a)) (+ (* -3/4 (* c (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))) (* 27/16 (* (pow a 2) (pow c 3)))))) (pow b 6))) (+ (* 1/3 (/ (- (+ (* -9/2 (* a (pow c 2))) (+ (* -9/4 (* a (pow c 2))) (* -1 (/ (+ (* -9 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) a)))) (* 9/8 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(pow b 4) |
(* (pow b 4) (+ 1 (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) |
(* (pow b 4) (+ 1 (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 4) (+ 1 (+ (* -729/16 (/ (* (pow a 6) (pow c 6)) (pow b 12))) (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(* 3/2 (/ (* a c) b)) |
(* -1 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -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 (/ 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 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(* -2 (/ b (* a c))) |
(/ (+ (* -2 (/ b c)) (* 3/2 (/ a b))) a) |
(/ (+ (* -2 (/ b c)) (* a (+ (* -1 (* a (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3)))))) (* 3/2 (/ 1 b))))) a) |
(/ (+ (* -2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 27/16 (/ (pow c 2) (pow b 5))))))) (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3)))))) (* 3/2 (/ 1 b))))) 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 (/ 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))))))) |
(* -2 (/ b c)) |
(+ (* -2 (/ b c)) (* 3/2 (/ a b))) |
(+ (* -2 (/ b c)) (* a (+ (* 3 (* a (+ (* -3/8 (/ c (pow b 3))) (* 3/4 (/ c (pow b 3)))))) (* 3/2 (/ 1 b))))) |
(+ (* -2 (/ b c)) (* a (+ (* a (+ (* 3 (* a (+ (* -3/4 (/ (* c (+ (* -3/8 (/ c (pow b 3))) (* 3/4 (/ c (pow b 3))))) (pow b 2))) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* 2/9 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))))))) (* 3 (+ (* -3/8 (/ c (pow b 3))) (* 3/4 (/ c (pow b 3))))))) (* 3/2 (/ 1 b))))) |
(* -2 (/ b (* a c))) |
(/ (+ (* -2 (/ b c)) (* 3/2 (/ a b))) a) |
(/ (+ (* -2 (/ b c)) (* a (+ (* -1 (* a (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3)))))) (* 3/2 (/ 1 b))))) a) |
(/ (+ (* -2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -3/4 (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 27/16 (/ (pow c 2) (pow b 5))))))) (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3)))))) (* 3/2 (/ 1 b))))) a) |
(* 3/2 (/ (* a c) b)) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* -1/2 (/ c 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)))))))))) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -2 (/ b (* a c))) |
(/ (+ (* -2 (/ b c)) (* 3/2 (/ a b))) a) |
(/ (+ (* -2 (/ b c)) (* a (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))) a) |
(/ (+ (* -2 (/ b c)) (* a (+ (* a (+ (* 9/8 (/ c (pow b 3))) (* 27/16 (/ (* a (pow c 2)) (pow b 5))))) (* 3/2 (/ 1 b))))) a) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (+ (* 9/4 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))))))))))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (+ (* 9/4 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (+ (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))) (* a (- (+ (* -81/8 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))))) (+ (* 3/4 (* b (* c (+ (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 8))))))) (* 81/32 (/ (pow c 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b)))))))))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* -3/2 (* a (* (pow b 2) c))) |
(* a (- (* a (- (* -9/2 (pow c 2)) (* -9/8 (pow c 2)))) (* 3/2 (* (pow b 2) c)))) |
(* a (- (* a (- (+ (* -9/2 (pow c 2)) (* -27/16 (/ (* a (pow c 3)) (pow b 2)))) (* -9/8 (pow c 2)))) (* 3/2 (* (pow b 2) c)))) |
(* a (- (* a (- (+ (* -9/2 (pow c 2)) (* a (- (* a (- (* -81/8 (/ (pow c 4) (pow b 4))) (* -1/2 (* (pow b 2) (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))))))) (* 27/16 (/ (pow c 3) (pow b 2)))))) (* -9/8 (pow c 2)))) (* 3/2 (* (pow b 2) c)))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* 1/3 (* a (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* 1/3 (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))))))) (* 1/3 (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* 1/3 (- (+ (* -9/2 (/ (pow c 2) (pow b 3))) (* 9/4 (/ (pow c 2) (pow b 3)))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* a (+ (* 1/3 (* a (- (+ (* -81/8 (/ (pow c 4) (pow b 7))) (+ (* -1/2 (* b (* (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6)))) (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))))) (+ (* 3/4 (* b (* c (+ (* 3/2 (/ (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 8))))))) (* 81/32 (/ (pow c 4) (pow b 7)))))) (* -1/2 (/ (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))) b))))) (* 1/3 (+ (* -27/16 (/ (pow c 3) (pow b 5))) (+ (* -3/2 (/ (* c (- (* -9/2 (/ (pow c 2) (pow b 2))) (* -9/8 (/ (pow c 2) (pow b 2))))) (pow b 3))) (* 3/4 (* b (* c (+ (* -9 (/ (pow c 2) (pow b 6))) (* 9/4 (/ (pow c 2) (pow b 6))))))))))))))) |
(pow b 4) |
(+ (* -9/2 (* (pow a 2) (pow c 2))) (pow b 4)) |
(+ (* (pow a 2) (+ (* -81/8 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (* -9/2 (pow c 2)))) (pow b 4)) |
(+ (* (pow a 2) (+ (* -9/2 (pow c 2)) (* (pow a 2) (+ (* -729/16 (/ (* (pow a 2) (pow c 6)) (pow b 8))) (* -81/8 (/ (pow c 4) (pow b 4))))))) (pow b 4)) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(* 2 b) |
(+ (* -3/2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* 1/3 (* (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 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(/ (+ (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (* c (pow (sqrt -3) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (* -3 (/ b (* c (pow (sqrt -3) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* 3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -3 (/ b (* c (pow (sqrt -3) 2)))) (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) 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)))))) |
(* 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 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) |
(+ (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (* c (pow (sqrt -3) 2))))) |
(- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (* -3 (/ b (* c (pow (sqrt -3) 2))))) |
(- (+ (* -1 (/ (+ (* 3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -3 (/ b (* c (pow (sqrt -3) 2)))) (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) |
(* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) |
(/ (+ (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (* 3 (/ b (* c (pow (sqrt -3) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (* -3 (/ b (* c (pow (sqrt -3) 2))))) a) |
(/ (- (+ (* -1 (/ (+ (* 3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (pow a 3))) (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (+ (* -3 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -3 (/ b (* c (pow (sqrt -3) 2)))) (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))) a) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* -1 (* (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) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* -1 (/ b (* a c)))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1 (/ b (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1 (/ b (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3))))))) |
(* (sqrt (/ a c)) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))))) |
(* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3))))))))))) |
(* a (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (* (+ (* 1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (* (pow b 2) (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2))) (+ (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3))))))) (* (sqrt (/ 1 (* (pow a 9) c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 5) (pow (sqrt 3) 3)))))))))))))) |
(* a (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) |
(* a (- (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))))) |
(* a (- (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))))) |
(* a (- (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 7) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 9) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 5) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))))))) |
(* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) |
(+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2)))) |
(+ (* 1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2))))) |
(+ (* 1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (pow b 2)))) (+ (* 1/3 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (+ (* 1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3))))) (* (pow b 2) (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 5) (pow (sqrt 3) 3))))))))) (pow a 4))) (* 1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (sqrt 3)))) (sqrt 1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b 3) (sqrt 3)))))))) (pow a 2)))))) |
(* a (* (pow b 2) (* c (sqrt -9)))) |
(* a (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))) |
(* a (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) |
(* a (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))) |
(* 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))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(* -3 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* c (pow (sqrt 3) 2))))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) 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))))) |
(* -3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) |
(+ (* -3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -3 (/ b (* c (pow (sqrt 3) 2))))) |
(+ (* -3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -3/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(+ (* -3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -3/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* -3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a))) |
(* -3 (* (sqrt (/ 1 (* a c))) (/ (sqrt -1) (sqrt 3)))) |
(* -1 (/ (+ (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* 3 (/ b (* c (pow (sqrt 3) 2))))) a)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* 3 (/ (* a b) (* c (pow (sqrt 3) 2))))) a)) (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) a)) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* (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)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* 3 (* a c)) |
(* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) |
(+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b c)) a)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (/ b c)) a)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* (sqrt (/ a c)) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) |
(* -1 (* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))) |
(* -1 (* a (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) a)) (* -1/54 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2))) (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) |
(* -1 (* a (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (- (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* a (- (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))))) |
(* -1 (* a (- (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 7) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 9) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 5) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))))))) |
(* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2)))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (+ (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2))) (* -1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))))) |
(+ (* -1 (/ (+ (* 1/162 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* 1/3 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) a))) (pow a 3))) (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2))))) |
(* -1 (* a (* (pow b 2) (* c (sqrt -9))))) |
(* -1 (* a (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) |
(* -1 (* a (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))))) |
(* -1 (* a (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(/ a (pow b 3)) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
(* -2 (/ b (* a c))) |
(*.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c))) |
(/ (+ (* -2 (/ b a)) (* 3/2 (/ c b))) c) |
(/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c) |
(/ (+ (* -2 (/ b a)) (* c (+ (* -1 (* c (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c) |
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (+.f64 (/.f64 #s(literal 3/2 binary64) b) (neg.f64 (*.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))))))) c) |
(/ (+ (* -2 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -3/4 (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3)))))) (* 3/2 (/ 1 b))))) c) |
(/.f64 (fma.f64 c (fma.f64 c (-.f64 (neg.f64 (*.f64 c (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 c (-.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a c)) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1/2 binary64) b))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 b b) b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))) |
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(/.f64 b c) |
(/ b c) |
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(* -1 (* a (* (pow b 2) (* c (sqrt -9))))) |
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(* -1 (* c (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))) |
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(* -1 (* c (+ (* -1/8 (/ (pow b 10) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 5) (* (pow c 6) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* a (* (pow c 2) (sqrt -9))))) (* a (* (pow b 2) (sqrt -9)))))))) |
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
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(* -1 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
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(* -1 (* c (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
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(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(pow b 5) |
(pow.f64 b #s(literal 5 binary64)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) |
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(* 3 (* a c)) |
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(* 3 (* a c)) |
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(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 b b))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2)))) |
(*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 a (*.f64 (*.f64 c c) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 c (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64))))))))) (*.f64 a a)))) |
(+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (+ (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2))) (* -1/162 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))))) |
(fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 a (*.f64 (*.f64 c c) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 c (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64))))))))) (*.f64 a a))) (*.f64 (*.f64 #s(literal -1/162 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (sqrt.f64 #s(literal -1/3 binary64))))) |
(+ (* -1 (/ (+ (* 1/162 (* (sqrt (/ a (pow c 5))) (/ (* (pow b 2) (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (* 1/3 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow c 4)))) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (* (pow b 2) (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow c 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) a))) (pow a 3))) (+ (* -1/3 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1))))))) (pow b 2)))) (* -1/3 (/ (+ (* -1/18 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (- (* (pow b 2) (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 3) (* (sqrt -3) (sqrt -1)))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* c (sqrt -9)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))) (pow a 2))))) |
(fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 a (*.f64 (*.f64 c c) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 c (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64))))))))) (*.f64 a a))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -1/324 binary64) (/.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 c c) c) #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal 1/81 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 c #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1/3 binary64))))) (fma.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 a (*.f64 (*.f64 c c) c)))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 c (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (*.f64 (*.f64 (*.f64 b b) b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64))))))) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal -1/8 binary64) (-.f64 (/.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (sqrt.f64 #s(literal -9 binary64)) #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))) (/.f64 (*.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))))))))) a) (*.f64 (*.f64 #s(literal 1/162 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 b b) b)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 (*.f64 a a) a)))) |
(* -1 (* a (* (pow b 2) (* c (sqrt -9))))) |
(neg.f64 (*.f64 (*.f64 a (*.f64 b b)) (*.f64 c (sqrt.f64 #s(literal -9 binary64))))) |
(* -1 (* a (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))) |
(neg.f64 (*.f64 a (fma.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 a a) c) (sqrt.f64 #s(literal -9 binary64))))))) |
(* -1 (* a (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9))))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 10 binary64)) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 c c) c)) (*.f64 (sqrt.f64 #s(literal -9 binary64)) #s(literal -9 binary64)))) (fma.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 a a) c) (sqrt.f64 #s(literal -9 binary64)))))))) |
(* -1 (* a (+ (* -1/8 (/ (pow b 10) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 14) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 6) (* (pow a 2) (* c (sqrt -9))))) (* (pow b 2) (* c (sqrt -9)))))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 10 binary64)) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 c c) c)) (*.f64 (sqrt.f64 #s(literal -9 binary64)) #s(literal -9 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 14 binary64)) (*.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -9 binary64)) #s(literal 5 binary64))))) (fma.f64 (*.f64 (*.f64 b b) c) (sqrt.f64 #s(literal -9 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 a a) c) (sqrt.f64 #s(literal -9 binary64))))))))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) |
(* -27/16 (/ (pow a 2) (pow b 5))) |
(/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) |
(/ a (pow b 3)) |
(/.f64 a (*.f64 (*.f64 b b) b)) |
(/ a (pow b 3)) |
(/.f64 a (*.f64 (*.f64 b b) b)) |
(/ a (pow b 3)) |
(/.f64 a (*.f64 (*.f64 b b) b)) |
(/ a (pow b 3)) |
(/.f64 a (*.f64 (*.f64 b b) b)) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 a (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (/.f64 b a))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 a (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) b) a))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 a (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 c c) c))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))))) a)) b) a))))) |
| 5 100× | lower-*.f32 |
| 5 064× | lower-*.f64 |
| 4 258× | lower-fma.f32 |
| 4 246× | lower-fma.f64 |
| 2 598× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 550 |
| 0 | 163 | 496 |
| 1 | 647 | 470 |
| 2 | 5178 | 434 |
| 0 | 8482 | 429 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 b #s(literal 5 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) |
(/.f64 #s(literal 1 binary64) a) |
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) |
(/.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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
(*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a) |
(/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(*.f64 (/.f64 #s(literal -3 binary64) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) |
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) |
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (*.f64 b b) b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 b b)) |
(/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 a (*.f64 (*.f64 b b) b)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
| Outputs |
|---|
(*.f64 (pow.f64 b #s(literal 5/2 binary64)) (pow.f64 b #s(literal 5/2 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b) |
(*.f64 (*.f64 (*.f64 b b) b) (*.f64 b b)) |
(*.f64 (*.f64 b b) (*.f64 (*.f64 b b) b)) |
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 b)) |
(pow.f64 (pow.f64 b #s(literal 5/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 5 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 5/2 binary64)) |
(pow.f64 b #s(literal 5 binary64)) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 5/2 binary64) (*.f64 (log.f64 b) #s(literal 5/2 binary64)))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) (*.f64 (log.f64 b) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 b) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 b)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 5/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 5/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 b #s(literal 5/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 5 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (neg.f64 c) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c))) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (neg.f64 c) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (neg.f64 c) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (neg.f64 c) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c)) a))) |
(pow.f64 (/.f64 (*.f64 #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (neg.f64 c) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c)) a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (neg.f64 c) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c)) a) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (neg.f64 c) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c)))) (neg.f64 a)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (neg.f64 c) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c))) a) |
(/.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (neg.f64 c) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (neg.f64 c) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c)) (neg.f64 a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (neg.f64 c) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c)) a))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (neg.f64 c) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c)))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (neg.f64 #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (neg.f64 c) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (neg.f64 c) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (neg.f64 c) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c)) a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (neg.f64 c) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c)) a)) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (neg.f64 c) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c)))) |
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (neg.f64 c) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (neg.f64 c) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c)) a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) |
(pow.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 a)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 a a) #s(literal -1/2 binary64)) |
(pow.f64 a #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 a)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a))) |
(/.f64 #s(literal 1 binary64) a) |
(neg.f64 (/.f64 #s(literal -1 binary64) a)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) |
#s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (neg.f64 c) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) c (/.f64 #s(literal 3/2 binary64) b)) c (*.f64 (/.f64 b a) #s(literal -2 binary64))) c)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 b)) (neg.f64 c)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(pow.f64 (/.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b) |
(/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 b) c)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b c) #s(literal -2 binary64))) |
(neg.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 b c))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64))) #s(literal -1 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) b) |
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 c))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) c)) |
(*.f64 #s(literal 1 binary64) (/.f64 b c)) |
(*.f64 b (/.f64 #s(literal 1 binary64) c)) |
(pow.f64 (/.f64 (/.f64 c b) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 c b) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b c) #s(literal 1 binary64)) |
(/.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) c) |
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(/.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 b b))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) |
(/.f64 (-.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (fma.f64 b b (-.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (*.f64 b b) b)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(/.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (-.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (*.f64 b b) b)))) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) b) |
(-.f64 (/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) |
(+.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
Compiled 57 123 to 4 521 computations (92.1% saved)
67 alts after pruning (61 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 268 | 26 | 1 294 |
| Fresh | 44 | 35 | 79 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 315 | 67 | 1 382 |
| Status | Accuracy | Program |
|---|---|---|
| 52.5% | (fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal -1/3 binary64) b) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) | |
| 53.3% | (fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) | |
| 52.7% | (/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -9 binary64) (*.f64 c a)) (*.f64 c a) (*.f64 (*.f64 (*.f64 b b) b) b))) b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))) (/.f64 b (*.f64 b b)) (neg.f64 (*.f64 #s(literal 1 binary64) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.9% | (/.f64 (fma.f64 (*.f64 b b) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -9 binary64) (*.f64 c a)) (*.f64 c a) (*.f64 (*.f64 (*.f64 b b) b) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (*.f64 b b))) (neg.f64 (*.f64 #s(literal 1 binary64) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.9% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -9 binary64) (*.f64 c a)) (*.f64 c a) (*.f64 (*.f64 (*.f64 b b) b) b))) (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (*.f64 b b))) (neg.f64 (*.f64 #s(literal 1 binary64) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.1% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 b b) b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.0% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 (*.f64 (*.f64 c a) c) a) (*.f64 (*.f64 (*.f64 b b) b) b))) 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)) | |
| 88.8% | (/.f64 (/.f64 #s(approx (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (*.f64 c (fma.f64 c (-.f64 (fma.f64 #s(literal -9/2 binary64) (*.f64 a a) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 (*.f64 a a) a) c)) (*.f64 b b))) (*.f64 #s(literal -9/8 binary64) (*.f64 a a))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (*.f64 b b)))))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 53.2% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) |
| 99.1% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -3 binary64) #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 83.5% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c)) #s(literal 3 binary64))) | |
| 83.5% | (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))))) #s(literal 3 binary64))) | |
| 92.9% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) #s(approx (+ (* -3/4 (/ (* a (* (/ a (* (* b b) b)) -9/8)) (* b b))) (+ (* -2/3 (* b (/ (* (/ (pow a 4) (pow b 6)) 405/64) (* a a)))) (/ (* 27/16 (* a a)) (pow b 5)))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a a)) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) b) b))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) | |
| 83.7% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) | |
| 83.6% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 b (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c)))))) | |
| 89.9% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) #s(approx (/ (+ (* -2 (/ b a)) (* c (+ (* c (* (/ a (* (* b b) b)) 9/8)) (/ 3/2 b)))) c) (/.f64 (fma.f64 (*.f64 #s(literal 9/8 binary64) a) c (*.f64 (*.f64 b b) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 b b) (*.f64 a c)) #s(literal 3/2 binary64)))) (*.f64 (*.f64 b b) b))))) | |
| 92.9% | (/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -3 (- (* b b) (+ (* (* -3 c) a) (* b b)))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/.f64 (fma.f64 a (fma.f64 a (fma.f64 #s(literal 27/16 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 9/8 binary64) (/.f64 c (*.f64 (*.f64 b b) b)))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b c))) a))) | |
| 54.4% | (/.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) | |
| 53.2% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 53.2% | (/.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)) | |
| 52.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| 53.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 54.6% | (/.f64 (*.f64 (fma.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/3 binary64) b) (-.f64 (*.f64 #s(literal -1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))))) | |
| 53.2% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 66.4% | (/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 66.4% | (/.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)) | |
| 53.2% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a))) | |
| 53.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)))) | |
| 53.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) | |
| 53.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) a)) | |
| 53.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))) | |
| ✓ | 53.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
| 83.6% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) a)) | |
| 90.1% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 b a) (*.f64 c (+.f64 (/.f64 #s(literal 3/2 binary64) b) (neg.f64 (*.f64 c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))))))) c)) a)) | |
| 83.6% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 b (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))))) a)) | |
| 66.4% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c)))) a)) | |
| 83.7% | (/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))))) | |
| 90.1% | (/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal -2 binary64) (/.f64 b c) (*.f64 a (fma.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64)) (/.f64 #s(literal 3/2 binary64) b)))))) | |
| 83.7% | (/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)) c))) | |
| 83.6% | (/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 b (-.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 2 binary64) c))))) | |
| 53.2% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 52.3% | (-.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)))) | |
| 52.4% | (+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) | |
| 53.2% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 53.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b))) | |
| 53.3% | (*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) | |
| 54.6% | (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (fma.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 b b) b) (*.f64 #s(literal 1/27 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (fma.f64 #s(literal 1/9 binary64) (*.f64 b b) (-.f64 (*.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -1/3 binary64) b) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))))) | |
| 52.3% | (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 b #s(literal -1/3 binary64)))) | |
| ✓ | 53.2% | (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
| 66.5% | (*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (* (neg b) 1/3)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b))))) | |
| 53.2% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) | |
| 53.2% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1/3 binary64)) | |
| 83.2% | #s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 11.4% | #s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 92.7% | #s(approx (/ (/ 1 a) (* (/ -3 (- (* b b) (+ (* (* -3 c) a) (* b b)))) (+ (sqrt (+ (* (* -3 c) a) (* b b))) b))) (fma.f64 a (fma.f64 a (fma.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| 92.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 b b) b) b)) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) c) (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (fma.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 #s(literal -1/2 binary64) c)))) b)) | |
| 66.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) | |
| 92.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) c) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) b) b)) (fma.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b b)) c) #s(literal -3/8 binary64)) a (*.f64 (/.f64 #s(literal -135/128 binary64) (*.f64 (*.f64 a (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 b b) b))) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) (*.f64 (*.f64 (*.f64 c c) c) c))))) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 89.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (*.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b)))) #s(literal -1/2 binary64)))) b)) | |
| 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) | |
| ✓ | 66.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| 66.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) | |
| 66.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) | |
| 89.7% | #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 (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 83.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ✓ | 66.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ✓ | 66.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
Compiled 7 400 to 1 921 computations (74% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (* (neg b) 1/3)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c)))) a)) |
(/.f64 #s(approx (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.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) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)) 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)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 b (-.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 2 binary64) c))))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 3 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 c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 b #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 b (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))))) a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) a)) |
(-.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 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) a)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 b (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal -1/3 binary64) b) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))) a))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))))) #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -3 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.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 c a) #s(literal 3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) |
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#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 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 b a))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #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 (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 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 (*.f64 b b) b))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) c)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 (*.f64 b b) b))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (*.f64 a a) a) (pow.f64 b #s(literal 6 binary64))) (-.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a a) (*.f64 (pow.f64 b #s(literal 4 binary64)) c)) (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 (*.f64 b c) (*.f64 b c)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 c c) c)))))) b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 (*.f64 b b) b))) c (*.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 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) a))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) c)))) b)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 a (fma.f64 a (fma.f64 (neg.f64 a) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 c c))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b c))) a))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 a (fma.f64 a (fma.f64 (neg.f64 a) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 c (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/9 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 c c))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 c (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal -2/3 binary64) (/.f64 b c))) a)) #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -3/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/9 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 3/8 binary64))) (/.f64 #s(literal 1/2 binary64) b)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) c)) #s(literal 3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -27/16 binary64)) (*.f64 (*.f64 c c) (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (*.f64 b b))) (fma.f64 (*.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)))) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 b (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 (fma.f64 (*.f64 #s(literal -3/4 binary64) a) (*.f64 c (*.f64 (*.f64 a c) #s(literal -3/8 binary64))) (fma.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 (*.f64 a a) (*.f64 c c))) (*.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/4 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal 3/8 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))))))) #s(literal 3 binary64))) |
(/.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) |
(/.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64))) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 c (fma.f64 c (fma.f64 (neg.f64 c) (fma.f64 #s(literal -3/4 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal -9/8 binary64))) (*.f64 b b)) (fma.f64 #s(literal -2/3 binary64) (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a a))) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (*.f64 (/.f64 a (*.f64 (*.f64 b b) b)) #s(literal 9/8 binary64))) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -3 binary64) #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
5 calls:
| 51.0ms | (/.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)) |
| 44.0ms | a |
| 44.0ms | b |
| 43.0ms | (*.f64 #s(literal 3 binary64) a) |
| 42.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | a |
| 99.1% | 1 | b |
| 99.1% | 1 | c |
| 99.1% | 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)) |
| 99.1% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (* (neg b) 1/3)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c)))) a)) |
(/.f64 #s(approx (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.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) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)) 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)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 b (-.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 2 binary64) c))))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 3 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 c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 b #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 b (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))))) a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) a)) |
(-.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 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) a)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 b (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal -1/3 binary64) b) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))) a))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))))) #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -3 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.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 c a) #s(literal 3 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) |
| Outputs |
|---|
(/.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 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)) c))) |
5 calls:
| 21.0ms | (*.f64 #s(literal 3 binary64) a) |
| 20.0ms | b |
| 19.0ms | (/.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)) |
| 19.0ms | c |
| 19.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.7% | 1 | c |
| 88.1% | 2 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 83.7% | 1 | a |
| 86.3% | 2 | b |
| 83.7% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (* (neg b) 1/3)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c)))) a)) |
(/.f64 #s(approx (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.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) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)) 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)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (*.f64 b (-.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 2 binary64) c))))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) #s(literal 3 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 c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b b) b)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 b #s(literal -1/3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 b (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c))))) a)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (neg.f64 b) #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c)) a)) |
(-.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 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) a)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (*.f64 b (-.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2 binary64) (*.f64 a c)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (neg.f64 b))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(literal -1/3 binary64) b) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))) a))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3) (/.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 c b) (*.f64 #s(literal -2 binary64) (/.f64 b a))) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))))) #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 #s(approx (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) c)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 #s(literal 1 binary64) a))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -3 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (/.f64 (*.f64 a a) (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)) c))) |
1 calls:
| 19.0ms | (/.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 |
|---|---|---|
| 88.0% | 2 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 20 to 12 computations (40% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (* (neg b) 1/3)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c)))) a)) |
(/.f64 #s(approx (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.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) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (*.f64 #s(literal 3 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (*.f64 b b))) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))))) |
1 calls:
| 9.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.9% | 2 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 20 to 12 computations (40% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (* (neg b) 1/3)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c)))) a)) |
(/.f64 #s(approx (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))))) |
5 calls:
| 38.0ms | 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)) |
| 5.0ms | (*.f64 #s(literal 3 binary64) a) |
| 5.0ms | a |
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.7% | 1 | a |
| 83.7% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 83.7% | 1 | c |
| 83.7% | 1 | b |
| 83.7% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (* (neg b) 1/3)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c)))) a)) |
(/.f64 #s(approx (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
5 calls:
| 27.0ms | (*.f64 #s(literal 3 binary64) a) |
| 5.0ms | a |
| 5.0ms | b |
| 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)) |
| 5.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.1% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 83.1% | 1 | a |
| 83.1% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 83.1% | 1 | c |
| 83.1% | 1 | b |
Compiled 38 to 26 computations (31.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ (* (sqrt (+ (* (* -3 c) a) (* b b))) 1/3) (* (neg b) 1/3)) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) (*.f64 #s(literal -2 binary64) (/.f64 b (*.f64 a c)))) a)) |
(/.f64 #s(approx (* (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b))))))) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ 1 (+ (* (* -3 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -3 c) a) (* b b)))))))))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (- (* (sqrt (+ (* -9 (* (* (* c a) c) a)) (* (* (* b b) b) b))) (* b b)) (* (sqrt (+ (* c (* a 3)) (* b b))) (* (* b b) b))) (* (sqrt (+ (* c (* a 3)) (* b b))) (* b b))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ 1 a) (* (/ -1 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) 3)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 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:
| 7.0ms | c |
| 7.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 5.0ms | b |
| 4.0ms | (*.f64 #s(literal 3 binary64) a) |
| 4.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.5% | 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)) |
| 66.5% | 1 | a |
| 66.5% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 66.5% | 1 | b |
| 66.5% | 1 | c |
Compiled 38 to 26 computations (31.6% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
5 calls:
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 1.0ms | (*.f64 #s(literal 3 binary64) a) |
| 1.0ms | c |
| 1.0ms | b |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.5% | 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)) |
| 66.5% | 1 | a |
| 66.5% | 1 | b |
| 66.5% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 66.5% | 1 | c |
Compiled 38 to 26 computations (31.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.04010621919775825 | -0.03479935262253175 |
Compiled 23 to 18 computations (21.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.04010621919775825 | -0.03479935262253175 |
Compiled 23 to 18 computations (21.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.04010621919775825 | -0.03479935262253175 |
Compiled 23 to 18 computations (21.7% saved)
| 1× | egg-herbie |
| 576× | unsub-neg_binary64 |
| 452× | neg-mul-1_binary64 |
| 436× | distribute-lft-neg-in_binary64 |
| 268× | neg-sub0_binary64 |
| 208× | cancel-sign-sub_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 404 |
| 1 | 144 | 401 |
| 2 | 171 | 401 |
| 3 | 193 | 401 |
| 4 | 215 | 401 |
| 5 | 225 | 401 |
| 6 | 234 | 400 |
| 7 | 255 | 400 |
| 8 | 279 | 400 |
| 9 | 295 | 400 |
| 10 | 408 | 400 |
| 11 | 692 | 400 |
| 12 | 867 | 400 |
| 13 | 941 | 400 |
| 14 | 1161 | 400 |
| 15 | 1382 | 400 |
| 16 | 1624 | 400 |
| 17 | 1806 | 400 |
| 18 | 1914 | 400 |
| 19 | 1937 | 400 |
| 20 | 1939 | 400 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -3 binary64) #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/144115188075855872 binary64)) (/.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 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)) c)))) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)) c)))) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal -3 binary64) #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 #s(literal 3 binary64) (*.f64 a c)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (/.f64 #s(literal -3 binary64) #s(approx (- (* b b) (+ (* (* -3 c) a) (* b b))) (*.f64 (*.f64 c a) #s(literal 3 binary64)))))) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/144115188075855872 binary64)) (/.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 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)) c)))) |
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) b) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/144115188075855872 binary64)) (/.f64 (-.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 c b) a) (*.f64 #s(literal -2 binary64) b)) c)))) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)) c)))) |
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) b) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (/.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (/.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 c b) a) (*.f64 #s(literal -2 binary64) b)) c)))) |
(if (<=.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c)))))) |
(if (<=.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) b) (*.f64 #s(literal 3 binary64) a)) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (/.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 #s(literal -2 binary64) (/.f64 b c))))) |
(/.f64 #s(literal 1 binary64) #s(approx (* (/ -3 (- b (sqrt (+ (* (* -3 c) a) (* b b))))) a) (fma.f64 #s(literal 3/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (*.f64 c (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* -9/16 (* a a)) (* (* c c) (/ c (pow b 4)))) (+ (* (* -3/8 a) (* c (/ c (* b b)))) (+ (* (* (* (pow c 4) (pow a 4)) (/ 405/64 (* (pow b 6) a))) -1/6) (* -1/2 c)))) (*.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 c (*.f64 b b)) a) #s(literal -1/2 binary64)) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
| 11 360× | lower-fma.f64 |
| 11 360× | lower-fma.f32 |
| 7 208× | lower-*.f64 |
| 7 208× | lower-*.f32 |
| 6 828× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2041 | 21126 |
| 1 | 5893 | 20658 |
| 0 | 8280 | 19956 |
| 0 | 2579 | 22859 |
| 1 | 7321 | 22631 |
| 0 | 8333 | 21809 |
| 0 | 12 | 46 |
| 0 | 20 | 46 |
| 1 | 71 | 44 |
| 2 | 525 | 43 |
| 3 | 6836 | 43 |
| 0 | 8125 | 40 |
| 0 | 68 | 504 |
| 0 | 115 | 394 |
| 1 | 425 | 374 |
| 2 | 3377 | 368 |
| 0 | 9423 | 364 |
| 0 | 470 | 2458 |
| 1 | 1445 | 2441 |
| 2 | 4890 | 2418 |
| 0 | 8056 | 2302 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 757 to 292 computations (61.4% saved)
Compiled 492 to 140 computations (71.5% saved)
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