
Time bar (total: 11.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 50% | 0% | 0% | 50% | 0% | 3 |
| 50% | 25% | 25% | 0% | 0% | 50% | 0% | 4 |
| 75% | 37.5% | 12.5% | 0% | 0% | 50% | 0% | 5 |
| 87.5% | 43.7% | 6.2% | 0% | 0% | 50% | 0% | 6 |
| 93.8% | 46.9% | 3.1% | 0% | 0% | 50% | 0% | 7 |
| 96.9% | 48.4% | 1.6% | 0% | 0% | 50% | 0% | 8 |
| 98.4% | 49.2% | 0.8% | 0% | 0% | 50% | 0% | 9 |
| 99.2% | 49.6% | 0.4% | 0% | 0% | 50% | 0% | 10 |
| 99.6% | 49.8% | 0.2% | 0% | 0% | 50% | 0% | 11 |
| 99.8% | 49.9% | 0.1% | 0% | 0% | 50% | 0% | 12 |
Compiled 22 to 18 computations (18.2% saved)
| 691.0ms | 8 256× | 0 | valid |
| 1.0ms | 10× | 0 | invalid |
ival-mult: 250.0ms (48.7% of total)ival-sub: 86.0ms (16.8% of total)ival-sqrt: 64.0ms (12.5% of total)ival-div: 54.0ms (10.5% of total)ival-pi: 34.0ms (6.6% of total)exact: 16.0ms (3.1% of total)ival-true: 8.0ms (1.6% of total)ival-assert: 3.0ms (0.6% of total)| 2× | egg-herbie |
| 4 898× | accelerator-lowering-fma.f32 |
| 4 898× | accelerator-lowering-fma.f64 |
| 2 702× | *-lowering-*.f32 |
| 2 702× | *-lowering-*.f64 |
| 1 796× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 60 |
| 1 | 83 | 55 |
| 2 | 202 | 54 |
| 3 | 674 | 54 |
| 4 | 2032 | 54 |
| 5 | 4175 | 54 |
| 6 | 6382 | 54 |
| 7 | 7265 | 54 |
| 0 | 16 | 20 |
| 1 | 41 | 18 |
| 2 | 108 | 18 |
| 3 | 309 | 18 |
| 4 | 885 | 18 |
| 5 | 1484 | 18 |
| 6 | 2821 | 18 |
| 7 | 5641 | 18 |
| 8 | 7721 | 18 |
| 0 | 8234 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) |
| Outputs |
|---|
(/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) |
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) |
| Inputs |
|---|
(/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) |
(/ 4 (* (* (* 3 (PI)) (- 1 (* (neg v) (neg v)))) (sqrt (- 2 (* 6 (* (neg v) (neg v))))))) |
(neg (/ 4 (* (* (* 3 (PI)) (- 1 (* (neg v) (neg v)))) (sqrt (- 2 (* 6 (* (neg v) (neg v)))))))) |
| Outputs |
|---|
(/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) |
(/ (/ 4/3 (- (PI) (* v (* (PI) v)))) (sqrt (+ 2 (* (* v v) -6)))) |
(/ 4 (* (* (* 3 (PI)) (- 1 (* (neg v) (neg v)))) (sqrt (- 2 (* 6 (* (neg v) (neg v))))))) |
(/ (/ 4/3 (- (PI) (* v (* (PI) v)))) (sqrt (+ 2 (* (* v v) -6)))) |
(neg (/ 4 (* (* (* 3 (PI)) (- 1 (* (neg v) (neg v)))) (sqrt (- 2 (* 6 (* (neg v) (neg v)))))))) |
(/ (/ 4/3 (- (* v (* (PI) v)) (PI))) (sqrt (+ 2 (* (* v v) -6)))) |
(abs v)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 v v) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (PI.f64)) |
| 0 | 0 | - | 0 | - | #s(literal 6 binary64) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 6 binary64) (*.f64 v v)) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 v v)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| 0 | 0 | - | 0 | - | (PI.f64) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 49.0ms | 512× | 0 | valid |
Compiled 216 to 68 computations (68.5% saved)
ival-mult: 14.0ms (46.8% of total)ival-sub: 5.0ms (16.7% of total)ival-sqrt: 4.0ms (13.4% of total)ival-div: 3.0ms (10% of total)ival-pi: 2.0ms (6.7% of total)exact: 1.0ms (3.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.5% | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))) |
Compiled 21 to 16 computations (23.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))) |
| 4 898× | accelerator-lowering-fma.f32 |
| 4 898× | accelerator-lowering-fma.f64 |
| 2 702× | *-lowering-*.f32 |
| 2 702× | *-lowering-*.f64 |
| 1 796× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 85 |
| 1 | 41 | 83 |
| 2 | 108 | 83 |
| 3 | 309 | 83 |
| 4 | 885 | 83 |
| 5 | 1484 | 83 |
| 6 | 2821 | 83 |
| 7 | 5641 | 83 |
| 8 | 7721 | 83 |
| 0 | 8234 | 76 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) |
4 |
(* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) |
(* (* 3 (PI)) (- 1 (* v v))) |
(* 3 (PI)) |
3 |
(PI) |
(- 1 (* v v)) |
1 |
(* v v) |
v |
(sqrt (- 2 (* 6 (* v v)))) |
(- 2 (* 6 (* v v))) |
2 |
(* 6 (* v v)) |
6 |
| Outputs |
|---|
(/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) |
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) |
4 |
#s(literal 4 binary64) |
(* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) |
(*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))) |
(* (* 3 (PI)) (- 1 (* v v))) |
(*.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* 3 (PI)) |
(*.f64 #s(literal 3 binary64) (PI.f64)) |
3 |
#s(literal 3 binary64) |
(PI) |
(PI.f64) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
1 |
#s(literal 1 binary64) |
(* v v) |
(*.f64 v v) |
v |
(sqrt (- 2 (* 6 (* v v)))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) |
(- 2 (* 6 (* v v))) |
(+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) |
2 |
#s(literal 2 binary64) |
(* 6 (* v v)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
6 |
#s(literal 6 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 6 binary64) (*.f64 v v)) |
| ✓ | accuracy | 98.5% | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))) |
| 26.0ms | 256× | 0 | valid |
Compiled 87 to 18 computations (79.3% saved)
ival-mult: 7.0ms (41.6% of total)ival-pi: 3.0ms (17.8% of total)ival-sub: 2.0ms (11.9% of total)ival-div: 2.0ms (11.9% of total)ival-sqrt: 2.0ms (11.9% of total)exact: 1.0ms (5.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))> |
#<alt (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))> |
#<alt (* (* 3 (PI)) (- 1 (* v v)))> |
#<alt (* 3 (PI))> |
#<alt (* 6 (* v v))> |
#<alt (sqrt (- 2 (* 6 (* v v))))> |
| Outputs |
|---|
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))> |
#<alt (+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))> |
#<alt (* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))> |
#<alt (* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))> |
#<alt (* 3 (* (PI) (sqrt 2)))> |
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))> |
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))> |
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))> |
#<alt (* -3 (* (pow v 3) (* (PI) (sqrt -6))))> |
#<alt (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))> |
#<alt (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))> |
#<alt (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))> |
#<alt (* 3 (* (pow v 3) (* (PI) (sqrt -6))))> |
#<alt (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))> |
#<alt (* 3 (PI))> |
#<alt (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))> |
#<alt (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))> |
#<alt (+ (* -3 (* (pow v 2) (PI))) (* 3 (PI)))> |
#<alt (* -3 (* (pow v 2) (PI)))> |
#<alt (* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))> |
#<alt (* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))> |
#<alt (* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))> |
#<alt (* -3 (* (pow v 2) (PI)))> |
#<alt (* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))> |
#<alt (* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))> |
#<alt (* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2)))))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (sqrt 2)> |
#<alt (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))> |
#<alt (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))> |
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))> |
#<alt (* v (sqrt -6))> |
#<alt (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))> |
#<alt (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))> |
#<alt (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))> |
#<alt (* -1 (* v (sqrt -6)))> |
#<alt (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))> |
#<alt (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))> |
#<alt (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | v | @ | inf | (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) |
| 2.0ms | v | @ | 0 | (/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) |
| 1.0ms | v | @ | 0 | (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) |
| 1.0ms | v | @ | inf | (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) |
| 0.0ms | v | @ | inf | (* (* 3 (PI)) (- 1 (* v v))) |
| 1× | batch-egg-rewrite |
| 4 770× | *-lowering-*.f32 |
| 4 770× | *-lowering-*.f64 |
| 4 634× | accelerator-lowering-fma.f32 |
| 4 634× | accelerator-lowering-fma.f64 |
| 2 134× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 63 |
| 1 | 91 | 61 |
| 2 | 616 | 61 |
| 3 | 5770 | 61 |
| 0 | 8436 | 55 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 4 (* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) |
(* (* (* 3 (PI)) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) |
(* (* 3 (PI)) (- 1 (* v v))) |
(* 3 (PI)) |
(* 6 (* v v)) |
(sqrt (- 2 (* 6 (* v v)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(neg.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))))))) |
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -3 binary64)))) |
(/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal 1/4 binary64)) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal -3 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64))))) |
(/.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64))) |
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 3/4 binary64))) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -3 binary64))) |
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 #s(literal 3 binary64) (PI.f64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (PI.f64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (*.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -3 binary64))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) |
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (*.f64 #s(literal 3 binary64) (PI.f64))) |
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) (PI.f64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -3 binary64))) |
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) |
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) |
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (PI.f64)) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (*.f64 #s(literal 3 binary64) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) |
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 #s(literal 3 binary64) (PI.f64))) |
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (PI.f64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal 1 binary64)) |
(*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -3 binary64)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal 4 binary64)) |
(*.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(*.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -3 binary64))) #s(literal -4 binary64)) |
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) #s(literal 1/2 binary64))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal 12 binary64))))) (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 216 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal 6 binary64))))) (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 36 binary64)))))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 216 binary64))))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal 12 binary64)))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 216 binary64))))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 36 binary64)))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal 6 binary64)))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 216 binary64))))) (sqrt.f64 (+.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal 12 binary64))))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal -4 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 36 binary64)))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 216 binary64)))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal 12 binary64))))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 36 binary64))))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal 6 binary64))))))) |
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal 12 binary64))))) (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 216 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal 6 binary64))))) (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 36 binary64))))))) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 216 binary64))))) (pow.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal 12 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 216 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal 12 binary64))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 216 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) #s(literal 36 binary64)) #s(literal 12 binary64))))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 36 binary64)))))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal 6 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 36 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal 6 binary64))))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 36 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal 6 binary64))))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 15 314× | accelerator-lowering-fma.f32 |
| 15 314× | accelerator-lowering-fma.f64 |
| 6 152× | +-lowering-+.f64 |
| 6 152× | +-lowering-+.f32 |
| 5 352× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 235 | 1512 |
| 1 | 734 | 1328 |
| 2 | 2914 | 1253 |
| 0 | 8184 | 1206 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4/3 (/ (sqrt 1/2) (PI))) |
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI)))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))))) |
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)) |
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))) |
(* 3 (* (PI) (sqrt 2))) |
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))) |
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))) |
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))))))) |
(* -3 (* (pow v 3) (* (PI) (sqrt -6)))) |
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))) |
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))) |
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))) |
(* 3 (* (pow v 3) (* (PI) (sqrt -6)))) |
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))) |
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))) |
(* 3 (PI)) |
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI))) |
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI))) |
(+ (* -3 (* (pow v 2) (PI))) (* 3 (PI))) |
(* -3 (* (pow v 2) (PI))) |
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2))))) |
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2))))) |
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2))))) |
(* -3 (* (pow v 2) (PI))) |
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2))))) |
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2))))) |
(* (pow v 2) (+ (* -3 (PI)) (* 3 (/ (PI) (pow v 2))))) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(sqrt 2) |
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2)))) |
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2)))))) |
(* v (sqrt -6)) |
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))) |
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))) |
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))) |
(* -1 (* v (sqrt -6))) |
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))) |
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))) |
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) |
| Outputs |
|---|
(* 4/3 (/ (sqrt 1/2) (PI))) |
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI)))) |
(*.f64 #s(literal 4/3 binary64) (+.f64 (*.f64 v (*.f64 v (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) |
(*.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 27/16 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64))))) (*.f64 v v)))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))))) |
(+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal 4/3 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 27/8 binary64) (PI.f64)) (/.f64 #s(literal 135/16 binary64) (PI.f64))))) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))))) (/.f64 #s(literal 9/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (*.f64 #s(literal 4/3 binary64) (+.f64 (*.f64 v (*.f64 v (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)))) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) |
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(/.f64 (/.f64 (*.f64 #s(literal -4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (PI.f64)) (*.f64 v (*.f64 v v))) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (PI.f64)) (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) v) (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) v)) (*.f64 v (*.f64 v v))) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)) |
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(sqrt 2) |
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(-.f64 #s(literal 0 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64)))) |
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))) |
(*.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))) |
(*.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal -6 binary64))))) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) |
(-.f64 #s(literal 0 binary64) (*.f64 v (+.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal -6 binary64)))))))) |
Compiled 14 367 to 1 581 computations (89% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 483 | 5 | 488 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 483 | 6 | 489 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.5% | (/.f64 #s(literal 4 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | 98.5% | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))) |
| ▶ | 97.0% | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))) |
| ▶ | 98.4% | (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
| ▶ | 100.0% | (*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ▶ | 96.9% | (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
Compiled 203 to 150 computations (26.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 4 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 4/3 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) |
| 6 730× | *-lowering-*.f32 |
| 6 730× | *-lowering-*.f64 |
| 3 874× | accelerator-lowering-fma.f32 |
| 3 874× | accelerator-lowering-fma.f64 |
| 2 806× | neg-lowering-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 348 |
| 1 | 105 | 324 |
| 2 | 290 | 324 |
| 3 | 916 | 324 |
| 4 | 4021 | 324 |
| 5 | 5346 | 324 |
| 0 | 8439 | 302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (/ 4/3 (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v (* v (* v v)))))) (+ 1 (* v v))) |
(/ (/ 4/3 (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v (* v (* v v)))))) |
(/ 4/3 (PI)) |
4/3 |
(PI) |
(* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v (* v (* v v))))) |
(sqrt (+ 2 (* (* v v) -6))) |
(+ 2 (* (* v v) -6)) |
2 |
(* (* v v) -6) |
(* v v) |
v |
-6 |
(- 1 (* v (* v (* v v)))) |
1 |
(* v (* v (* v v))) |
(* v (* v v)) |
(+ 1 (* v v)) |
(* 4/3 (/ (sqrt 1/2) (PI))) |
4/3 |
(/ (sqrt 1/2) (PI)) |
(sqrt 1/2) |
1/2 |
(PI) |
(/ 4 (* (PI) (* 3 (sqrt 2)))) |
4 |
(* (PI) (* 3 (sqrt 2))) |
(PI) |
(* 3 (sqrt 2)) |
3 |
(sqrt 2) |
2 |
(/ 4 (* (* (PI) 3) (sqrt (- 2 (* 6 (* v v)))))) |
4 |
(* (* (PI) 3) (sqrt (- 2 (* 6 (* v v))))) |
(* (PI) 3) |
(PI) |
3 |
(sqrt (- 2 (* 6 (* v v)))) |
(- 2 (* 6 (* v v))) |
2 |
(* 6 (* v v)) |
6 |
(* v v) |
v |
(/ 4 (/ (* (- 1 (* v (* v (* v v)))) (* (* 3 (PI)) (sqrt (+ 2 (* (* v v) -6))))) (+ 1 (* v v)))) |
4 |
(/ (* (- 1 (* v (* v (* v v)))) (* (* 3 (PI)) (sqrt (+ 2 (* (* v v) -6))))) (+ 1 (* v v))) |
(* (- 1 (* v (* v (* v v)))) (* (* 3 (PI)) (sqrt (+ 2 (* (* v v) -6))))) |
(- 1 (* v (* v (* v v)))) |
1 |
(* v (* v (* v v))) |
v |
(* v (* v v)) |
(* v v) |
(* (* 3 (PI)) (sqrt (+ 2 (* (* v v) -6)))) |
(* 3 (PI)) |
3 |
(PI) |
(sqrt (+ 2 (* (* v v) -6))) |
(+ 2 (* (* v v) -6)) |
2 |
(* (* v v) -6) |
-6 |
(+ 1 (* v v)) |
| Outputs |
|---|
(* (/ (/ 4/3 (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v (* v (* v v)))))) (+ 1 (* v v))) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (/.f64 (PI.f64) (+.f64 (*.f64 v v) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(/ (/ 4/3 (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v (* v (* v v)))))) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(/ 4/3 (PI)) |
(/.f64 #s(literal 4/3 binary64) (PI.f64)) |
4/3 |
#s(literal 4/3 binary64) |
(PI) |
(PI.f64) |
(* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v (* v (* v v))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) |
(sqrt (+ 2 (* (* v v) -6))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) |
(+ 2 (* (* v v) -6)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) |
2 |
#s(literal 2 binary64) |
(* (* v v) -6) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* v v) |
(*.f64 v v) |
v |
-6 |
#s(literal -6 binary64) |
(- 1 (* v (* v (* v v)))) |
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) |
1 |
#s(literal 1 binary64) |
(* v (* v (* v v))) |
(*.f64 v (*.f64 v (*.f64 v v))) |
(* v (* v v)) |
(*.f64 v (*.f64 v v)) |
(+ 1 (* v v)) |
(+.f64 (*.f64 v v) #s(literal 1 binary64)) |
(* 4/3 (/ (sqrt 1/2) (PI))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) |
4/3 |
#s(literal 4/3 binary64) |
(/ (sqrt 1/2) (PI)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(PI) |
(PI.f64) |
(/ 4 (* (PI) (* 3 (sqrt 2)))) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
4 |
#s(literal 4 binary64) |
(* (PI) (* 3 (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(PI) |
(PI.f64) |
(* 3 (sqrt 2)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) |
3 |
#s(literal 3 binary64) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ 4 (* (* (PI) 3) (sqrt (- 2 (* 6 (* v v)))))) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
4 |
#s(literal 4 binary64) |
(* (* (PI) 3) (sqrt (- 2 (* 6 (* v v))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) #s(literal 3 binary64))) |
(* (PI) 3) |
(*.f64 (PI.f64) #s(literal 3 binary64)) |
(PI) |
(PI.f64) |
3 |
#s(literal 3 binary64) |
(sqrt (- 2 (* 6 (* v v)))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) |
(- 2 (* 6 (* v v))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) |
2 |
#s(literal 2 binary64) |
(* 6 (* v v)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
6 |
#s(literal 6 binary64) |
(* v v) |
(*.f64 v v) |
v |
(/ 4 (/ (* (- 1 (* v (* v (* v v)))) (* (* 3 (PI)) (sqrt (+ 2 (* (* v v) -6))))) (+ 1 (* v v)))) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (/.f64 (PI.f64) (+.f64 (*.f64 v v) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
4 |
#s(literal 4 binary64) |
(/ (* (- 1 (* v (* v (* v v)))) (* (* 3 (PI)) (sqrt (+ 2 (* (* v v) -6))))) (+ 1 (* v v))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) (+.f64 (*.f64 v v) #s(literal 1 binary64))) |
(* (- 1 (* v (* v (* v v)))) (* (* 3 (PI)) (sqrt (+ 2 (* (* v v) -6))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal -3 binary64)))))) |
(- 1 (* v (* v (* v v)))) |
(-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) |
1 |
#s(literal 1 binary64) |
(* v (* v (* v v))) |
(*.f64 v (*.f64 v (*.f64 v v))) |
v |
(* v (* v v)) |
(*.f64 v (*.f64 v v)) |
(* v v) |
(*.f64 v v) |
(* (* 3 (PI)) (sqrt (+ 2 (* (* v v) -6)))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) #s(literal 3 binary64))) |
(* 3 (PI)) |
(*.f64 (PI.f64) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(PI) |
(PI.f64) |
(sqrt (+ 2 (* (* v v) -6))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) |
(+ 2 (* (* v v) -6)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) |
2 |
#s(literal 2 binary64) |
(* (* v v) -6) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
-6 |
#s(literal -6 binary64) |
(+ 1 (* v v)) |
(+.f64 (*.f64 v v) #s(literal 1 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 v (*.f64 v (*.f64 v v))) |
| ✓ | accuracy | 99.9% | (*.f64 v (*.f64 v v)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal -6 binary64)) |
| ✓ | accuracy | 98.5% | (/.f64 #s(literal 4 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 6 binary64) (*.f64 v v)) |
| ✓ | accuracy | 98.5% | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 98.4% | (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
| ✓ | accuracy | 98.4% | (*.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | accuracy | 98.4% | (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 98.4% | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) |
| ✓ | accuracy | 99.9% | (*.f64 v (*.f64 v (*.f64 v v))) |
| ✓ | accuracy | 99.9% | (*.f64 v (*.f64 v v)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal -6 binary64)) |
| ✓ | accuracy | 98.4% | (/.f64 #s(literal 4/3 binary64) (PI.f64)) |
| 126.0ms | 256× | 0 | valid |
Compiled 376 to 42 computations (88.8% saved)
ival-mult: 48.0ms (46.6% of total)ival-sqrt: 34.0ms (33% of total)ival-div: 10.0ms (9.7% of total)const: 4.0ms (3.9% of total)ival-add: 2.0ms (1.9% of total)ival-sub: 2.0ms (1.9% of total)ival-pi: 1.0ms (1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (/ 4/3 (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v (* v (* v v)))))) (+ 1 (* v v)))> |
#<alt (/ (/ 4/3 (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v (* v (* v v))))))> |
#<alt (/ 4/3 (PI))> |
#<alt (PI)> |
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))> |
#<alt (/ (sqrt 1/2) (PI))> |
#<alt (sqrt 1/2)> |
#<alt (/ 4 (* (PI) (* 3 (sqrt 2))))> |
#<alt (* (PI) (* 3 (sqrt 2)))> |
#<alt (* 3 (sqrt 2))> |
#<alt (/ 4 (* (* (PI) 3) (sqrt (- 2 (* 6 (* v v))))))> |
#<alt (* (* (PI) 3) (sqrt (- 2 (* 6 (* v v)))))> |
#<alt (* (PI) 3)> |
#<alt (/ 4 (/ (* (- 1 (* v (* v (* v v)))) (* (* 3 (PI)) (sqrt (+ 2 (* (* v v) -6))))) (+ 1 (* v v))))> |
#<alt (/ (* (- 1 (* v (* v (* v v)))) (* (* 3 (PI)) (sqrt (+ 2 (* (* v v) -6))))) (+ 1 (* v v)))> |
#<alt (* (- 1 (* v (* v (* v v)))) (* (* 3 (PI)) (sqrt (+ 2 (* (* v v) -6)))))> |
#<alt (- 1 (* v (* v (* v v))))> |
#<alt (* (* v v) -6)> |
#<alt (* v (* v v))> |
#<alt (* v (* v (* v v)))> |
#<alt (* 6 (* v v))> |
#<alt (sqrt (- 2 (* 6 (* v v))))> |
| Outputs |
|---|
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))> |
#<alt (+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))> |
#<alt (* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))> |
#<alt (* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))> |
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 2) (* (PI) (sqrt 1/2))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (/ 1 (* (PI) (sqrt 1/2))))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (/ 1 (* (PI) (sqrt 1/2))))))> |
#<alt (* -4/3 (/ (sqrt -1/6) (* (pow v 5) (PI))))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 5))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))) (pow v 4))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 5))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 4/3 (/ (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))))) (pow v 5))> |
#<alt (* 4/3 (/ (sqrt -1/6) (* (pow v 5) (PI))))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 5)))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))) (pow v 4))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 5)))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 4/3 (/ (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))))) (pow v 5)))> |
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 2) (* (PI) (sqrt 1/2))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (/ 1 (* (PI) (sqrt 1/2))))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (/ 1 (* (PI) (sqrt 1/2))))))> |
#<alt (* 4/3 (/ (sqrt -1/6) (* v (PI))))> |
#<alt (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)> |
#<alt (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)> |
#<alt (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)> |
#<alt (* -4/3 (/ (sqrt -1/6) (* v (PI))))> |
#<alt (* -1 (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))> |
#<alt (* -1 (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v))> |
#<alt (* -1 (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v))> |
#<alt (* 3 (* (PI) (sqrt 2)))> |
#<alt (+ (* -9 (/ (* (pow v 2) (PI)) (sqrt 2))) (* 3 (* (PI) (sqrt 2))))> |
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -9 (/ (PI) (sqrt 2))))))> |
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -27/2 (/ (PI) (pow (sqrt 2) 3))))))))> |
#<alt (* 3 (* v (* (PI) (sqrt -6))))> |
#<alt (* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))> |
#<alt (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))> |
#<alt (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))> |
#<alt (* -3 (* v (* (PI) (sqrt -6))))> |
#<alt (* -1 (* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))> |
#<alt (* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))> |
#<alt (* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))))> |
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))> |
#<alt (+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))> |
#<alt (* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))> |
#<alt (* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))> |
#<alt (* 3 (* (PI) (sqrt 2)))> |
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))> |
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))> |
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))> |
#<alt (* -3 (* (pow v 3) (* (PI) (sqrt -6))))> |
#<alt (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))> |
#<alt (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))> |
#<alt (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))> |
#<alt (* 3 (* (pow v 3) (* (PI) (sqrt -6))))> |
#<alt (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))> |
#<alt (* 3 (* (PI) (sqrt 2)))> |
#<alt (+ (* -9 (/ (* (pow v 2) (PI)) (sqrt 2))) (* 3 (* (PI) (sqrt 2))))> |
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -1 (* (PI) (sqrt 2)))))))))> |
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -1 (* (PI) (sqrt 2))))))))))> |
#<alt (* -3 (* (pow v 5) (* (PI) (sqrt -6))))> |
#<alt (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (* -3 (/ (PI) (* (pow v 2) (sqrt -6))))))> |
#<alt (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4))))))> |
#<alt (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 5))) (/ (PI) (sqrt -6))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4)))))))> |
#<alt (* 3 (* (pow v 5) (* (PI) (sqrt -6))))> |
#<alt (* -1 (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))))))> |
#<alt (* -1 (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4)))))))> |
#<alt (* -1 (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 5))) (/ (PI) (sqrt -6))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow v 4)))> |
#<alt (+ 1 (* -1 (pow v 4)))> |
#<alt (+ 1 (* -1 (pow v 4)))> |
#<alt (* -1 (pow v 4))> |
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))> |
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))> |
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))> |
#<alt (* -1 (pow v 4))> |
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))> |
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))> |
#<alt (* (pow v 4) (- (/ 1 (pow v 4)) 1))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 3)> |
#<alt (pow v 4)> |
#<alt (pow v 4)> |
#<alt (pow v 4)> |
#<alt (pow v 4)> |
#<alt (pow v 4)> |
#<alt (pow v 4)> |
#<alt (pow v 4)> |
#<alt (pow v 4)> |
#<alt (pow v 4)> |
#<alt (pow v 4)> |
#<alt (pow v 4)> |
#<alt (pow v 4)> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (sqrt 2)> |
#<alt (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))> |
#<alt (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))> |
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))> |
#<alt (* v (sqrt -6))> |
#<alt (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))> |
#<alt (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))> |
#<alt (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))> |
#<alt (* -1 (* v (sqrt -6)))> |
#<alt (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))> |
#<alt (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))> |
#<alt (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | v | @ | 0 | (/ (/ 4/3 (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v (* v (* v v)))))) |
| 1.0ms | v | @ | inf | (/ (/ 4/3 (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v (* v (* v v)))))) |
| 1.0ms | v | @ | inf | (/ 4 (* (* (PI) 3) (sqrt (- 2 (* 6 (* v v)))))) |
| 1.0ms | v | @ | 0 | (* (/ (/ 4/3 (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v (* v (* v v)))))) (+ 1 (* v v))) |
| 0.0ms | v | @ | inf | (* (- 1 (* v (* v (* v v)))) (* (* 3 (PI)) (sqrt (+ 2 (* (* v v) -6))))) |
| 1× | batch-egg-rewrite |
| 5 232× | /-lowering-/.f32 |
| 5 232× | /-lowering-/.f64 |
| 5 158× | *-lowering-*.f32 |
| 5 158× | *-lowering-*.f64 |
| 3 160× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 214 |
| 1 | 219 | 182 |
| 2 | 1704 | 182 |
| 0 | 8449 | 174 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (/ 4/3 (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v (* v (* v v)))))) (+ 1 (* v v))) |
(/ (/ 4/3 (PI)) (* (sqrt (+ 2 (* (* v v) -6))) (- 1 (* v (* v (* v v)))))) |
(/ 4/3 (PI)) |
(PI) |
(* 4/3 (/ (sqrt 1/2) (PI))) |
(/ (sqrt 1/2) (PI)) |
(sqrt 1/2) |
(/ 4 (* (PI) (* 3 (sqrt 2)))) |
(* (PI) (* 3 (sqrt 2))) |
(* 3 (sqrt 2)) |
(/ 4 (* (* (PI) 3) (sqrt (- 2 (* 6 (* v v)))))) |
(* (* (PI) 3) (sqrt (- 2 (* 6 (* v v))))) |
(* (PI) 3) |
(/ 4 (/ (* (- 1 (* v (* v (* v v)))) (* (* 3 (PI)) (sqrt (+ 2 (* (* v v) -6))))) (+ 1 (* v v)))) |
(/ (* (- 1 (* v (* v (* v v)))) (* (* 3 (PI)) (sqrt (+ 2 (* (* v v) -6))))) (+ 1 (* v v))) |
(* (- 1 (* v (* v (* v v)))) (* (* 3 (PI)) (sqrt (+ 2 (* (* v v) -6))))) |
(- 1 (* v (* v (* v v)))) |
(* (* v v) -6) |
(* v (* v v)) |
(* v (* v (* v v))) |
(* 6 (* v v)) |
(sqrt (- 2 (* 6 (* v v)))) |
| Outputs |
|---|
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(+.f64 (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (/.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) (/.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 4/3 binary64) (PI.f64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 4/3 binary64) (PI.f64))))) (/.f64 (pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))))) |
(fma.f64 #s(literal 4/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(fma.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(fma.f64 #s(literal 4/3 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (PI.f64)) (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(fma.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(fma.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 v v)) (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(fma.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(fma.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(fma.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(fma.f64 v (*.f64 v (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(fma.f64 (*.f64 v v) (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(fma.f64 (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 v v) (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(fma.f64 (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(fma.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(fma.f64 #s(literal -4/3 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(fma.f64 #s(literal -4/3 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 4/3 binary64) (PI.f64)) (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (*.f64 v v) (/.f64 (PI.f64) #s(literal 4/3 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 3/4 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (/.f64 (*.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 v v)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))) |
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) #s(literal 1 binary64)) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) |
(neg.f64 (*.f64 (*.f64 v v) #s(literal 6 binary64))) |
(*.f64 v (*.f64 v #s(literal -6 binary64))) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(*.f64 #s(literal -6 binary64) (*.f64 v v)) |
(*.f64 #s(literal 6 binary64) (neg.f64 (*.f64 v v))) |
(*.f64 (*.f64 v #s(literal 6 binary64)) (-.f64 #s(literal 0 binary64) v)) |
(*.f64 (*.f64 v #s(literal -6 binary64)) v) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) |
(*.f64 (neg.f64 (*.f64 v v)) #s(literal 6 binary64)) |
(*.f64 (neg.f64 (*.f64 v #s(literal 6 binary64))) v) |
(exp.f64 (*.f64 (log.f64 v) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)) #s(literal 3/2 binary64))) |
(pow.f64 v #s(literal 3 binary64)) |
(pow.f64 (*.f64 v v) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 v #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 3 binary64)) |
(*.f64 v (*.f64 v v)) |
(*.f64 (*.f64 v v) v) |
(*.f64 (*.f64 v (*.f64 v v)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 v #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 v (*.f64 v v))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) v) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 v))) |
(exp.f64 (*.f64 (log.f64 v) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)) #s(literal 2 binary64))) |
(pow.f64 v #s(literal 4 binary64)) |
(pow.f64 (*.f64 v v) #s(literal 2 binary64)) |
(*.f64 v (*.f64 v (*.f64 v v))) |
(*.f64 (*.f64 v v) (*.f64 v v)) |
(*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) |
(*.f64 (*.f64 v (*.f64 v v)) v) |
(*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) v) (*.f64 v (*.f64 v v))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v))) v) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) v) #s(literal 2 binary64)) (*.f64 v v)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(*.f64 #s(literal 6 binary64) (*.f64 v v)) |
(*.f64 (*.f64 v #s(literal 6 binary64)) v) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 1/2 binary64))) |
(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 216 binary64))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 6 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 216 binary64))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 216 binary64))))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 216 binary64))))) (sqrt.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 6 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 216 binary64))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) (*.f64 v v)))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 216 binary64)))))) (sqrt.f64 (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 216 binary64)))))) (sqrt.f64 (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 6 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64))))) (sqrt.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)) #s(literal 4 binary64))) (sqrt.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 216 binary64)))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 216 binary64)))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 6 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64))))) (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal 1/2 binary64)))) |
(pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 216 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 216 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 6 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 216 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 216 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 6 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 36 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 15 352× | accelerator-lowering-fma.f32 |
| 15 352× | accelerator-lowering-fma.f64 |
| 5 652× | *-lowering-*.f32 |
| 5 652× | *-lowering-*.f64 |
| 4 740× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 395 | 3753 |
| 1 | 1290 | 3179 |
| 2 | 5117 | 3090 |
| 0 | 8048 | 2956 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4/3 (/ (sqrt 1/2) (PI))) |
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI)))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))))) |
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)) |
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))) |
(* 4/3 (/ (sqrt 1/2) (PI))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 2) (* (PI) (sqrt 1/2)))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (/ 1 (* (PI) (sqrt 1/2)))))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (/ 1 (* (PI) (sqrt 1/2)))))) |
(* -4/3 (/ (sqrt -1/6) (* (pow v 5) (PI)))) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 5)) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))) (pow v 4))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 5)) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 4/3 (/ (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))))) (pow v 5)) |
(* 4/3 (/ (sqrt -1/6) (* (pow v 5) (PI)))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 5))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))) (pow v 4))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 5))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))) (pow v 4))) (+ (* 4/3 (/ (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 6))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))))) (pow v 5))) |
(* 4/3 (/ (sqrt 1/2) (PI))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 2) (* (PI) (sqrt 1/2)))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (/ 1 (* (PI) (sqrt 1/2)))))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (/ 1 (* (PI) (sqrt 1/2)))))) |
(* 4/3 (/ (sqrt -1/6) (* v (PI)))) |
(/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v) |
(/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v) |
(* -4/3 (/ (sqrt -1/6) (* v (PI)))) |
(* -1 (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) |
(* -1 (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)) |
(* -1 (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)) |
(* 3 (* (PI) (sqrt 2))) |
(+ (* -9 (/ (* (pow v 2) (PI)) (sqrt 2))) (* 3 (* (PI) (sqrt 2)))) |
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -9 (/ (PI) (sqrt 2)))))) |
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -27/2 (/ (PI) (pow (sqrt 2) 3)))))))) |
(* 3 (* v (* (PI) (sqrt -6)))) |
(* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))) |
(* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))) |
(* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))) |
(* -3 (* v (* (PI) (sqrt -6)))) |
(* -1 (* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))) |
(* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))) |
(* 4/3 (/ (sqrt 1/2) (PI))) |
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI)))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))))) |
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)) |
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))) |
(* 3 (* (PI) (sqrt 2))) |
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))) |
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))) |
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))))))) |
(* -3 (* (pow v 3) (* (PI) (sqrt -6)))) |
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))) |
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))) |
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))) |
(* 3 (* (pow v 3) (* (PI) (sqrt -6)))) |
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))) |
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))) |
(* 3 (* (PI) (sqrt 2))) |
(+ (* -9 (/ (* (pow v 2) (PI)) (sqrt 2))) (* 3 (* (PI) (sqrt 2)))) |
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -1 (* (PI) (sqrt 2))))))))) |
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* -1 (* (PI) (sqrt 2)))))))))) |
(* -3 (* (pow v 5) (* (PI) (sqrt -6)))) |
(* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))))) |
(* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4)))))) |
(* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 5))) (/ (PI) (sqrt -6))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4))))))) |
(* 3 (* (pow v 5) (* (PI) (sqrt -6)))) |
(* -1 (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (* -3 (/ (PI) (* (pow v 2) (sqrt -6))))))) |
(* -1 (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4))))))) |
(* -1 (* (pow v 5) (+ (* -3 (* (PI) (sqrt -6))) (+ (* -3 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 5))) (/ (PI) (sqrt -6))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (* (PI) (sqrt -6))) (pow v 4)))))))) |
1 |
(+ 1 (* -1 (pow v 4))) |
(+ 1 (* -1 (pow v 4))) |
(+ 1 (* -1 (pow v 4))) |
(* -1 (pow v 4)) |
(* (pow v 4) (- (/ 1 (pow v 4)) 1)) |
(* (pow v 4) (- (/ 1 (pow v 4)) 1)) |
(* (pow v 4) (- (/ 1 (pow v 4)) 1)) |
(* -1 (pow v 4)) |
(* (pow v 4) (- (/ 1 (pow v 4)) 1)) |
(* (pow v 4) (- (/ 1 (pow v 4)) 1)) |
(* (pow v 4) (- (/ 1 (pow v 4)) 1)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(pow v 3) |
(pow v 3) |
(pow v 3) |
(pow v 3) |
(pow v 3) |
(pow v 3) |
(pow v 3) |
(pow v 3) |
(pow v 3) |
(pow v 3) |
(pow v 3) |
(pow v 3) |
(pow v 4) |
(pow v 4) |
(pow v 4) |
(pow v 4) |
(pow v 4) |
(pow v 4) |
(pow v 4) |
(pow v 4) |
(pow v 4) |
(pow v 4) |
(pow v 4) |
(pow v 4) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(sqrt 2) |
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2)))) |
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2)))))) |
(* v (sqrt -6)) |
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))) |
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))) |
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))) |
(* -1 (* v (sqrt -6))) |
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))) |
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))) |
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) |
| Outputs |
|---|
(* 4/3 (/ (sqrt 1/2) (PI))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) |
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI)))) |
(*.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 3/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) |
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1 |
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(*.f64 (*.f64 v v) (*.f64 v v)) |
(pow v 4) |
(*.f64 (*.f64 v v) (*.f64 v v)) |
(pow v 4) |
(*.f64 (*.f64 v v) (*.f64 v v)) |
(pow v 4) |
(*.f64 (*.f64 v v) (*.f64 v v)) |
(pow v 4) |
(*.f64 (*.f64 v v) (*.f64 v v)) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2)))) |
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2)))))) |
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64)) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2)))))) |
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -27/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
(* v (sqrt -6)) |
(*.f64 v (sqrt.f64 #s(literal -6 binary64))) |
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))) |
(*.f64 v (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) |
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))) |
(*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v)))))) |
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))) |
(*.f64 v (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v)))))) |
(* -1 (* v (sqrt -6))) |
(-.f64 #s(literal 0 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64)))) |
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))) |
(*.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 v (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (-.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v))))) (-.f64 #s(literal 0 binary64) v)) |
Compiled 152 666 to 5 854 computations (96.2% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 781 | 8 | 2 789 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 2 786 | 9 | 2 795 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.5% | (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (*.f64 (PI.f64) #s(literal 3 binary64))) |
| 98.5% | (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64))) | |
| ▶ | 98.4% | (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
| ▶ | 98.5% | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ▶ | 98.5% | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64)) (PI.f64))) |
| 98.5% | (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) | |
| ▶ | 100.0% | (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))))) |
| 98.5% | (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3 binary64))) | |
| ✓ | 96.9% | (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
Compiled 255 to 213 computations (16.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (PI.f64) #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (*.f64 (PI.f64) #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64)) (PI.f64)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64)) (PI.f64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 4/3 binary64) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 v v) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 v v)) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))))) |
| 5 108× | *-lowering-*.f32 |
| 5 108× | *-lowering-*.f64 |
| 4 142× | accelerator-lowering-fma.f32 |
| 4 142× | accelerator-lowering-fma.f64 |
| 1 588× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 310 |
| 1 | 68 | 306 |
| 2 | 170 | 306 |
| 3 | 451 | 302 |
| 4 | 1285 | 302 |
| 5 | 2739 | 302 |
| 6 | 5955 | 302 |
| 0 | 8088 | 279 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* (- 1 (* v v)) (/ (sqrt (- 2 (* (* v v) 6))) (/ 4/3 (PI))))) |
1 |
(* (- 1 (* v v)) (/ (sqrt (- 2 (* (* v v) 6))) (/ 4/3 (PI)))) |
(- 1 (* v v)) |
(* v v) |
v |
(/ (sqrt (- 2 (* (* v v) 6))) (/ 4/3 (PI))) |
(sqrt (- 2 (* (* v v) 6))) |
(- 2 (* (* v v) 6)) |
2 |
(* (* v v) 6) |
6 |
(/ 4/3 (PI)) |
4/3 |
(PI) |
(/ (/ 4/3 (PI)) (sqrt 2)) |
(/ 4/3 (PI)) |
4/3 |
(PI) |
(sqrt 2) |
2 |
(/ 4 (* (* (sqrt (- 2 (* (* v v) 6))) 3) (PI))) |
4 |
(* (* (sqrt (- 2 (* (* v v) 6))) 3) (PI)) |
(* (sqrt (- 2 (* (* v v) 6))) 3) |
(sqrt (- 2 (* (* v v) 6))) |
(- 2 (* (* v v) 6)) |
2 |
(* (* v v) 6) |
(* v v) |
v |
6 |
3 |
(PI) |
(/ (/ 4 (sqrt (- 2 (* (* v v) 6)))) (* (PI) 3)) |
(/ 4 (sqrt (- 2 (* (* v v) 6)))) |
4 |
(sqrt (- 2 (* (* v v) 6))) |
(- 2 (* (* v v) 6)) |
2 |
(* (* v v) 6) |
(* v v) |
v |
6 |
(* (PI) 3) |
(PI) |
3 |
(/ 4 (* (* (sqrt (- 2 (* (* v v) 6))) (* (PI) 3)) (- 1 (* v v)))) |
4 |
(* (* (sqrt (- 2 (* (* v v) 6))) (* (PI) 3)) (- 1 (* v v))) |
(* (sqrt (- 2 (* (* v v) 6))) (* (PI) 3)) |
(sqrt (- 2 (* (* v v) 6))) |
(- 2 (* (* v v) 6)) |
2 |
(* (* v v) 6) |
(* v v) |
v |
6 |
(* (PI) 3) |
(PI) |
3 |
(- 1 (* v v)) |
1 |
| Outputs |
|---|
(/ 1 (* (- 1 (* v v)) (/ (sqrt (- 2 (* (* v v) 6))) (/ 4/3 (PI))))) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) |
1 |
#s(literal 1 binary64) |
(* (- 1 (* v v)) (/ (sqrt (- 2 (* (* v v) 6))) (/ 4/3 (PI)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(* v v) |
(*.f64 v v) |
v |
(/ (sqrt (- 2 (* (* v v) 6))) (/ 4/3 (PI))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) |
(sqrt (- 2 (* (* v v) 6))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) |
(- 2 (* (* v v) 6)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) |
2 |
#s(literal 2 binary64) |
(* (* v v) 6) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
6 |
#s(literal 6 binary64) |
(/ 4/3 (PI)) |
(/.f64 #s(literal 4/3 binary64) (PI.f64)) |
4/3 |
#s(literal 4/3 binary64) |
(PI) |
(PI.f64) |
(/ (/ 4/3 (PI)) (sqrt 2)) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) |
(/ 4/3 (PI)) |
(/.f64 #s(literal 4/3 binary64) (PI.f64)) |
4/3 |
#s(literal 4/3 binary64) |
(PI) |
(PI.f64) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ 4 (* (* (sqrt (- 2 (* (* v v) 6))) 3) (PI))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
4 |
#s(literal 4 binary64) |
(* (* (sqrt (- 2 (* (* v v) 6))) 3) (PI)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) #s(literal 3 binary64))) |
(* (sqrt (- 2 (* (* v v) 6))) 3) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 3 binary64)) |
(sqrt (- 2 (* (* v v) 6))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) |
(- 2 (* (* v v) 6)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) |
2 |
#s(literal 2 binary64) |
(* (* v v) 6) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* v v) |
(*.f64 v v) |
v |
6 |
#s(literal 6 binary64) |
3 |
#s(literal 3 binary64) |
(PI) |
(PI.f64) |
(/ (/ 4 (sqrt (- 2 (* (* v v) 6)))) (* (PI) 3)) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(/ 4 (sqrt (- 2 (* (* v v) 6)))) |
(/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
4 |
#s(literal 4 binary64) |
(sqrt (- 2 (* (* v v) 6))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) |
(- 2 (* (* v v) 6)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) |
2 |
#s(literal 2 binary64) |
(* (* v v) 6) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* v v) |
(*.f64 v v) |
v |
6 |
#s(literal 6 binary64) |
(* (PI) 3) |
(*.f64 (PI.f64) #s(literal 3 binary64)) |
(PI) |
(PI.f64) |
3 |
#s(literal 3 binary64) |
(/ 4 (* (* (sqrt (- 2 (* (* v v) 6))) (* (PI) 3)) (- 1 (* v v)))) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) |
4 |
#s(literal 4 binary64) |
(* (* (sqrt (- 2 (* (* v v) 6))) (* (PI) 3)) (- 1 (* v v))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) #s(literal 3 binary64)))) |
(* (sqrt (- 2 (* (* v v) 6))) (* (PI) 3)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) #s(literal 3 binary64))) |
(sqrt (- 2 (* (* v v) 6))) |
(sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) |
(- 2 (* (* v v) 6)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) |
2 |
#s(literal 2 binary64) |
(* (* v v) 6) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* v v) |
(*.f64 v v) |
v |
6 |
#s(literal 6 binary64) |
(* (PI) 3) |
(*.f64 (PI.f64) #s(literal 3 binary64)) |
(PI) |
(PI.f64) |
3 |
#s(literal 3 binary64) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
1 |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (PI.f64) #s(literal 3 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal 6 binary64)) |
| ✓ | accuracy | 98.5% | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal 6 binary64)) |
| ✓ | accuracy | 98.5% | (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (*.f64 (PI.f64) #s(literal 3 binary64))) |
| ✓ | accuracy | 98.5% | (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal 6 binary64)) |
| ✓ | accuracy | 98.5% | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64)) (PI.f64))) |
| ✓ | accuracy | 98.5% | (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64)) |
| ✓ | accuracy | 98.5% | (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64)) (PI.f64)) |
| ✓ | accuracy | 100.0% | (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 98.4% | (/.f64 #s(literal 4/3 binary64) (PI.f64)) |
| ✓ | accuracy | 100.0% | (/.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal 6 binary64)) |
| ✓ | accuracy | 98.5% | (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))))) |
| ✓ | accuracy | 98.4% | (/.f64 #s(literal 4/3 binary64) (PI.f64)) |
| 64.0ms | 256× | 0 | valid |
Compiled 312 to 30 computations (90.4% saved)
ival-div: 16.0ms (36.5% of total)ival-mult: 14.0ms (32% of total)const: 5.0ms (11.4% of total)ival-sub: 4.0ms (9.1% of total)ival-sqrt: 4.0ms (9.1% of total)ival-pi: 1.0ms (2.3% of total)exact: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (* (- 1 (* v v)) (/ (sqrt (- 2 (* (* v v) 6))) (/ 4/3 (PI)))))> |
#<alt (* (- 1 (* v v)) (/ (sqrt (- 2 (* (* v v) 6))) (/ 4/3 (PI))))> |
#<alt (- 1 (* v v))> |
#<alt (* v v)> |
#<alt (/ (/ 4/3 (PI)) (sqrt 2))> |
#<alt (/ 4/3 (PI))> |
#<alt (PI)> |
#<alt (sqrt 2)> |
#<alt (/ 4 (* (* (sqrt (- 2 (* (* v v) 6))) 3) (PI)))> |
#<alt (* (* (sqrt (- 2 (* (* v v) 6))) 3) (PI))> |
#<alt (* (sqrt (- 2 (* (* v v) 6))) 3)> |
#<alt (sqrt (- 2 (* (* v v) 6)))> |
#<alt (/ (/ 4 (sqrt (- 2 (* (* v v) 6)))) (* (PI) 3))> |
#<alt (/ 4 (sqrt (- 2 (* (* v v) 6))))> |
#<alt (- 2 (* (* v v) 6))> |
#<alt (/ 4 (* (* (sqrt (- 2 (* (* v v) 6))) (* (PI) 3)) (- 1 (* v v))))> |
#<alt (* (* (sqrt (- 2 (* (* v v) 6))) (* (PI) 3)) (- 1 (* v v)))> |
#<alt (* (sqrt (- 2 (* (* v v) 6))) (* (PI) 3))> |
#<alt (* (* v v) 6)> |
#<alt (/ (sqrt (- 2 (* (* v v) 6))) (/ 4/3 (PI)))> |
| Outputs |
|---|
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))> |
#<alt (+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))> |
#<alt (* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))> |
#<alt (* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))> |
#<alt (* 3/4 (* (PI) (sqrt 2)))> |
#<alt (+ (* 3/4 (* (PI) (sqrt 2))) (* 3/4 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))> |
#<alt (+ (* 3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3/4 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3/4 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))> |
#<alt (+ (* 3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3/4 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3/4 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3/4 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))> |
#<alt (* -3/4 (* (pow v 3) (* (PI) (sqrt -6))))> |
#<alt (* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))> |
#<alt (* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3/4 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))> |
#<alt (* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3/4 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3/4 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))> |
#<alt (* 3/4 (* (pow v 3) (* (PI) (sqrt -6))))> |
#<alt (* -1 (* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3/4 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3/4 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3/4 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow v 2)))> |
#<alt (+ 1 (* -1 (pow v 2)))> |
#<alt (+ 1 (* -1 (pow v 2)))> |
#<alt (* -1 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))> |
#<alt (* -1 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (pow v 2)> |
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 2) (* (PI) (sqrt 1/2))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (/ 1 (* (PI) (sqrt 1/2))))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (/ 1 (* (PI) (sqrt 1/2))))))> |
#<alt (* 4/3 (/ (sqrt -1/6) (* v (PI))))> |
#<alt (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)> |
#<alt (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)> |
#<alt (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)> |
#<alt (* -4/3 (/ (sqrt -1/6) (* v (PI))))> |
#<alt (* -1 (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))> |
#<alt (* -1 (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v))> |
#<alt (* -1 (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v))> |
#<alt (* 3 (* (PI) (sqrt 2)))> |
#<alt (+ (* -9 (/ (* (pow v 2) (PI)) (sqrt 2))) (* 3 (* (PI) (sqrt 2))))> |
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -9 (/ (PI) (sqrt 2))))))> |
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -27/2 (/ (PI) (pow (sqrt 2) 3))))))))> |
#<alt (* 3 (* v (* (PI) (sqrt -6))))> |
#<alt (* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))> |
#<alt (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))> |
#<alt (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))> |
#<alt (* -3 (* v (* (PI) (sqrt -6))))> |
#<alt (* -1 (* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))> |
#<alt (* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))> |
#<alt (* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))))> |
#<alt (* 3 (sqrt 2))> |
#<alt (+ (* -9 (/ (pow v 2) (sqrt 2))) (* 3 (sqrt 2)))> |
#<alt (+ (* 3 (sqrt 2)) (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 9 (/ 1 (sqrt 2))))))> |
#<alt (+ (* 3 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -81/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 27/2 (/ 1 (pow (sqrt 2) 3))))) (* 9 (/ 1 (sqrt 2))))))> |
#<alt (* 3 (* v (sqrt -6)))> |
#<alt (* v (+ (* 3 (sqrt -6)) (* 3 (/ 1 (* (pow v 2) (sqrt -6))))))> |
#<alt (* v (- (+ (* 3 (sqrt -6)) (/ 3 (* (pow v 2) (sqrt -6)))) (/ 3/2 (* (pow v 4) (pow (sqrt -6) 3)))))> |
#<alt (* v (- (+ (* 3 (sqrt -6)) (+ (* 3/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))) (/ 3 (* (pow v 2) (sqrt -6))))) (* 3/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))> |
#<alt (* -3 (* v (sqrt -6)))> |
#<alt (* -1 (* v (+ (* 3 (sqrt -6)) (* 3 (/ 1 (* (pow v 2) (sqrt -6)))))))> |
#<alt (* -1 (* v (- (+ (* 3 (sqrt -6)) (/ 3 (* (pow v 2) (sqrt -6)))) (/ 3/2 (* (pow v 4) (pow (sqrt -6) 3))))))> |
#<alt (* -1 (* v (- (+ (* 3 (sqrt -6)) (+ (* 3/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))) (/ 3 (* (pow v 2) (sqrt -6))))) (* 3/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))> |
#<alt (sqrt 2)> |
#<alt (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))> |
#<alt (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))> |
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))> |
#<alt (* v (sqrt -6))> |
#<alt (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))> |
#<alt (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))> |
#<alt (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))> |
#<alt (* -1 (* v (sqrt -6)))> |
#<alt (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))> |
#<alt (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))> |
#<alt (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))> |
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 2) (* (PI) (sqrt 1/2))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (/ 1 (* (PI) (sqrt 1/2))))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (/ 1 (* (PI) (sqrt 1/2))))))> |
#<alt (* 4/3 (/ (sqrt -1/6) (* v (PI))))> |
#<alt (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)> |
#<alt (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)> |
#<alt (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)> |
#<alt (* -4/3 (/ (sqrt -1/6) (* v (PI))))> |
#<alt (* -1 (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))> |
#<alt (* -1 (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v))> |
#<alt (* -1 (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v))> |
#<alt (* 4 (sqrt 1/2))> |
#<alt (+ (* 3 (/ (pow v 2) (sqrt 1/2))) (* 4 (sqrt 1/2)))> |
#<alt (+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3 (/ 1 (sqrt 1/2))))))> |
#<alt (+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3 (/ 1 (sqrt 1/2))))))> |
#<alt (* 4 (/ (sqrt -1/6) v))> |
#<alt (/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)> |
#<alt (/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)> |
#<alt (/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)> |
#<alt (* -4 (/ (sqrt -1/6) v))> |
#<alt (* -1 (/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))> |
#<alt (* -1 (/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v))> |
#<alt (* -1 (/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v))> |
#<alt 2> |
#<alt (+ 2 (* -6 (pow v 2)))> |
#<alt (+ 2 (* -6 (pow v 2)))> |
#<alt (+ 2 (* -6 (pow v 2)))> |
#<alt (* -6 (pow v 2))> |
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))> |
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))> |
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))> |
#<alt (* -6 (pow v 2))> |
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))> |
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))> |
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))> |
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))> |
#<alt (+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))> |
#<alt (* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))> |
#<alt (* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))> |
#<alt (* 3 (* (PI) (sqrt 2)))> |
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))> |
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))))> |
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))))> |
#<alt (* -3 (* (pow v 3) (* (PI) (sqrt -6))))> |
#<alt (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))> |
#<alt (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))> |
#<alt (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))> |
#<alt (* 3 (* (pow v 3) (* (PI) (sqrt -6))))> |
#<alt (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))))> |
#<alt (* 3 (* (PI) (sqrt 2)))> |
#<alt (+ (* -9 (/ (* (pow v 2) (PI)) (sqrt 2))) (* 3 (* (PI) (sqrt 2))))> |
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -9 (/ (PI) (sqrt 2))))))> |
#<alt (+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -27/2 (/ (PI) (pow (sqrt 2) 3))))))))> |
#<alt (* 3 (* v (* (PI) (sqrt -6))))> |
#<alt (* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))> |
#<alt (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))> |
#<alt (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))> |
#<alt (* -3 (* v (* (PI) (sqrt -6))))> |
#<alt (* -1 (* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))> |
#<alt (* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))> |
#<alt (* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 3/4 (* (PI) (sqrt 2)))> |
#<alt (+ (* -9/4 (/ (* (pow v 2) (PI)) (sqrt 2))) (* 3/4 (* (PI) (sqrt 2))))> |
#<alt (+ (* 3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/8 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -9/4 (/ (PI) (sqrt 2))))))> |
#<alt (+ (* 3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/4 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/8 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -27/8 (/ (PI) (pow (sqrt 2) 3))))))))> |
#<alt (* 3/4 (* v (* (PI) (sqrt -6))))> |
#<alt (* v (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (PI) (* (pow v 2) (sqrt -6))))))> |
#<alt (* v (+ (* -3/8 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (PI) (* (pow v 2) (sqrt -6)))))))> |
#<alt (* v (+ (* -3/8 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/8 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (PI) (* (pow v 2) (sqrt -6))))))))> |
#<alt (* -3/4 (* v (* (PI) (sqrt -6))))> |
#<alt (* -1 (* v (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (PI) (* (pow v 2) (sqrt -6)))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (PI) (* (pow v 2) (sqrt -6))))))))> |
#<alt (* -1 (* v (+ (* -3/8 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/8 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (PI) (* (pow v 2) (sqrt -6)))))))))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | v | @ | inf | (/ 4 (sqrt (- 2 (* (* v v) 6)))) |
| 1.0ms | v | @ | 0 | (/ (sqrt (- 2 (* (* v v) 6))) (/ 4/3 (PI))) |
| 0.0ms | v | @ | inf | (/ (sqrt (- 2 (* (* v v) 6))) (/ 4/3 (PI))) |
| 0.0ms | v | @ | inf | (* (- 1 (* v v)) (/ (sqrt (- 2 (* (* v v) 6))) (/ 4/3 (PI)))) |
| 0.0ms | v | @ | 0 | (/ 4 (sqrt (- 2 (* (* v v) 6)))) |
| 1× | batch-egg-rewrite |
| 4 730× | *-lowering-*.f32 |
| 4 730× | *-lowering-*.f64 |
| 4 270× | /-lowering-/.f32 |
| 4 270× | /-lowering-/.f64 |
| 1 880× | frac-times |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 200 |
| 1 | 169 | 192 |
| 2 | 1228 | 192 |
| 0 | 8404 | 179 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* (- 1 (* v v)) (/ (sqrt (- 2 (* (* v v) 6))) (/ 4/3 (PI))))) |
(* (- 1 (* v v)) (/ (sqrt (- 2 (* (* v v) 6))) (/ 4/3 (PI)))) |
(- 1 (* v v)) |
(* v v) |
(/ (/ 4/3 (PI)) (sqrt 2)) |
(/ 4/3 (PI)) |
(PI) |
(sqrt 2) |
(/ 4 (* (* (sqrt (- 2 (* (* v v) 6))) 3) (PI))) |
(* (* (sqrt (- 2 (* (* v v) 6))) 3) (PI)) |
(* (sqrt (- 2 (* (* v v) 6))) 3) |
(sqrt (- 2 (* (* v v) 6))) |
(/ (/ 4 (sqrt (- 2 (* (* v v) 6)))) (* (PI) 3)) |
(/ 4 (sqrt (- 2 (* (* v v) 6)))) |
(- 2 (* (* v v) 6)) |
(/ 4 (* (* (sqrt (- 2 (* (* v v) 6))) (* (PI) 3)) (- 1 (* v v)))) |
(* (* (sqrt (- 2 (* (* v v) 6))) (* (PI) 3)) (- 1 (* v v))) |
(* (sqrt (- 2 (* (* v v) 6))) (* (PI) 3)) |
(* (* v v) 6) |
(/ (sqrt (- 2 (* (* v v) 6))) (/ 4/3 (PI))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 #s(literal -4/3 binary64) (PI.f64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal -3 binary64))))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 #s(literal -4/3 binary64) (PI.f64))))) |
(neg.f64 (/.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (/.f64 #s(literal -4/3 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4/3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal -3 binary64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (PI.f64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (PI.f64))))) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64))))) |
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) #s(literal -3 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) #s(literal 3 binary64)))) |
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (PI.f64))))) |
(*.f64 (*.f64 (PI.f64) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (*.f64 (PI.f64) #s(literal -3 binary64))) #s(literal -1/4 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4/3 binary64) (PI.f64)))) |
(*.f64 (/.f64 (PI.f64) #s(literal 4/3 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(*.f64 (/.f64 (PI.f64) #s(literal 4/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4 binary64)) (*.f64 (PI.f64) #s(literal 3 binary64))) |
(*.f64 (/.f64 (PI.f64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) #s(literal 3/4 binary64)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4/3 binary64)) (PI.f64)) |
(*.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 3/4 binary64) (/.f64 (PI.f64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (PI.f64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 1/4 binary64) (/.f64 (PI.f64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4/3 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal 4/3 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 4 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
(*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) |
(*.f64 #s(literal -3/4 binary64) (/.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(*.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal -3/4 binary64) (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))))) |
(*.f64 #s(literal -3/4 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -4/3 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (PI.f64)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) #s(literal 4/3 binary64))) |
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) |
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 4 binary64))) |
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 4 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) |
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -4 binary64)) (/.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 4 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal -4 binary64)) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 4 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal -4 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (PI.f64))) #s(literal 4 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (PI.f64))) #s(literal -4 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))) |
(*.f64 (/.f64 (PI.f64) #s(literal -1 binary64)) (/.f64 #s(literal -3 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 4 binary64)) (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) #s(literal 4/3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) #s(literal -4/3 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 10 450× | accelerator-lowering-fma.f32 |
| 10 450× | accelerator-lowering-fma.f64 |
| 6 778× | *-lowering-*.f32 |
| 6 778× | *-lowering-*.f64 |
| 2 650× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 477 | 4910 |
| 1 | 1595 | 4215 |
| 2 | 6393 | 4175 |
| 0 | 8093 | 3989 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4/3 (/ (sqrt 1/2) (PI))) |
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI)))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))))) |
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)) |
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))) |
(* 3/4 (* (PI) (sqrt 2))) |
(+ (* 3/4 (* (PI) (sqrt 2))) (* 3/4 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))) |
(+ (* 3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3/4 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3/4 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))) |
(+ (* 3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3/4 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3/4 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3/4 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))))))) |
(* -3/4 (* (pow v 3) (* (PI) (sqrt -6)))) |
(* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))) |
(* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3/4 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))) |
(* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3/4 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3/4 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))) |
(* 3/4 (* (pow v 3) (* (PI) (sqrt -6)))) |
(* -1 (* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3/4 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))) |
(* -1 (* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3/4 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3/4 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))) |
1 |
(+ 1 (* -1 (pow v 2))) |
(+ 1 (* -1 (pow v 2))) |
(+ 1 (* -1 (pow v 2))) |
(* -1 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(* -1 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(pow v 2) |
(* 4/3 (/ (sqrt 1/2) (PI))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 2) (* (PI) (sqrt 1/2)))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (/ 1 (* (PI) (sqrt 1/2)))))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (/ 1 (* (PI) (sqrt 1/2)))))) |
(* 4/3 (/ (sqrt -1/6) (* v (PI)))) |
(/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v) |
(/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v) |
(* -4/3 (/ (sqrt -1/6) (* v (PI)))) |
(* -1 (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) |
(* -1 (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)) |
(* -1 (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)) |
(* 3 (* (PI) (sqrt 2))) |
(+ (* -9 (/ (* (pow v 2) (PI)) (sqrt 2))) (* 3 (* (PI) (sqrt 2)))) |
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -9 (/ (PI) (sqrt 2)))))) |
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -27/2 (/ (PI) (pow (sqrt 2) 3)))))))) |
(* 3 (* v (* (PI) (sqrt -6)))) |
(* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))) |
(* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))) |
(* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))) |
(* -3 (* v (* (PI) (sqrt -6)))) |
(* -1 (* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))) |
(* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))) |
(* 3 (sqrt 2)) |
(+ (* -9 (/ (pow v 2) (sqrt 2))) (* 3 (sqrt 2))) |
(+ (* 3 (sqrt 2)) (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 9 (/ 1 (sqrt 2)))))) |
(+ (* 3 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -81/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 27/2 (/ 1 (pow (sqrt 2) 3))))) (* 9 (/ 1 (sqrt 2)))))) |
(* 3 (* v (sqrt -6))) |
(* v (+ (* 3 (sqrt -6)) (* 3 (/ 1 (* (pow v 2) (sqrt -6)))))) |
(* v (- (+ (* 3 (sqrt -6)) (/ 3 (* (pow v 2) (sqrt -6)))) (/ 3/2 (* (pow v 4) (pow (sqrt -6) 3))))) |
(* v (- (+ (* 3 (sqrt -6)) (+ (* 3/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))) (/ 3 (* (pow v 2) (sqrt -6))))) (* 3/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))) |
(* -3 (* v (sqrt -6))) |
(* -1 (* v (+ (* 3 (sqrt -6)) (* 3 (/ 1 (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (- (+ (* 3 (sqrt -6)) (/ 3 (* (pow v 2) (sqrt -6)))) (/ 3/2 (* (pow v 4) (pow (sqrt -6) 3)))))) |
(* -1 (* v (- (+ (* 3 (sqrt -6)) (+ (* 3/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))) (/ 3 (* (pow v 2) (sqrt -6))))) (* 3/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) |
(sqrt 2) |
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2)))) |
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2)))))) |
(* v (sqrt -6)) |
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))) |
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))) |
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))) |
(* -1 (* v (sqrt -6))) |
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))) |
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))) |
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) |
(* 4/3 (/ (sqrt 1/2) (PI))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 2) (* (PI) (sqrt 1/2)))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (/ 1 (* (PI) (sqrt 1/2)))))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (/ 1 (* (PI) (sqrt 1/2)))))) |
(* 4/3 (/ (sqrt -1/6) (* v (PI)))) |
(/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v) |
(/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v) |
(* -4/3 (/ (sqrt -1/6) (* v (PI)))) |
(* -1 (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) |
(* -1 (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)) |
(* -1 (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)) |
(* 4 (sqrt 1/2)) |
(+ (* 3 (/ (pow v 2) (sqrt 1/2))) (* 4 (sqrt 1/2))) |
(+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3 (/ 1 (sqrt 1/2)))))) |
(+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3 (/ 1 (sqrt 1/2)))))) |
(* 4 (/ (sqrt -1/6) v)) |
(/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v) |
(/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v) |
(/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v) |
(* -4 (/ (sqrt -1/6) v)) |
(* -1 (/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)) |
(* -1 (/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)) |
(* -1 (/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)) |
2 |
(+ 2 (* -6 (pow v 2))) |
(+ 2 (* -6 (pow v 2))) |
(+ 2 (* -6 (pow v 2))) |
(* -6 (pow v 2)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* -6 (pow v 2)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* 4/3 (/ (sqrt 1/2) (PI))) |
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI)))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))))) |
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)) |
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))) |
(* 3 (* (PI) (sqrt 2))) |
(+ (* 3 (* (PI) (sqrt 2))) (* 3 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))) |
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))) |
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))))))) |
(* -3 (* (pow v 3) (* (PI) (sqrt -6)))) |
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))) |
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))) |
(* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))) |
(* 3 (* (pow v 3) (* (PI) (sqrt -6)))) |
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))) |
(* -1 (* (pow v 3) (+ (* -3 (* (PI) (sqrt -6))) (+ (* 3 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))) |
(* 3 (* (PI) (sqrt 2))) |
(+ (* -9 (/ (* (pow v 2) (PI)) (sqrt 2))) (* 3 (* (PI) (sqrt 2)))) |
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -9 (/ (PI) (sqrt 2)))))) |
(+ (* 3 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -27/2 (/ (PI) (pow (sqrt 2) 3)))))))) |
(* 3 (* v (* (PI) (sqrt -6)))) |
(* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))) |
(* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))) |
(* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))) |
(* -3 (* v (* (PI) (sqrt -6)))) |
(* -1 (* v (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6)))))))) |
(* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 3/4 (* (PI) (sqrt 2))) |
(+ (* -9/4 (/ (* (pow v 2) (PI)) (sqrt 2))) (* 3/4 (* (PI) (sqrt 2)))) |
(+ (* 3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/8 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -9/4 (/ (PI) (sqrt 2)))))) |
(+ (* 3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/4 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/8 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -27/8 (/ (PI) (pow (sqrt 2) 3)))))))) |
(* 3/4 (* v (* (PI) (sqrt -6)))) |
(* v (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (PI) (* (pow v 2) (sqrt -6)))))) |
(* v (+ (* -3/8 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (PI) (* (pow v 2) (sqrt -6))))))) |
(* v (+ (* -3/8 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/8 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (PI) (* (pow v 2) (sqrt -6)))))))) |
(* -3/4 (* v (* (PI) (sqrt -6)))) |
(* -1 (* v (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (PI) (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (+ (* -3/8 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (PI) (* (pow v 2) (sqrt -6)))))))) |
(* -1 (* v (+ (* -3/8 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/8 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (PI) (* (pow v 2) (sqrt -6))))))))) |
| Outputs |
|---|
(* 4/3 (/ (sqrt 1/2) (PI))) |
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI)))) |
(*.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) |
(+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 v v)) (+.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal 27/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))))) |
(+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 #s(literal 4/3 binary64) (*.f64 (+.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (+.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal 27/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 27/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (+.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 #s(literal 135/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))))) (*.f64 v v)))))) |
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(/.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 v (*.f64 v v))) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)) |
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (*.f64 v v))) (*.f64 v (*.f64 v v))) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)) |
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 v v)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/144 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (*.f64 (*.f64 v v) (*.f64 v v)))))) (*.f64 v (*.f64 v v))) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)) |
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 v v)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/144 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (-.f64 (+.f64 (/.f64 #s(literal 1/144 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 #s(literal 5/2592 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 6 binary64)))))) (*.f64 v (*.f64 v v))) |
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 v (*.f64 v v))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))) |
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (*.f64 v v))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v)))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))) |
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 v v)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/144 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (*.f64 (*.f64 v v) (*.f64 v v)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v)))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))) |
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 v v)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 #s(literal 1/144 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (-.f64 (+.f64 (/.f64 #s(literal 1/144 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 #s(literal 5/2592 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (pow.f64 v #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v)))) |
(* 3/4 (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/4 binary64))) |
(+ (* 3/4 (* (PI) (sqrt 2))) (* 3/4 (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))) |
(*.f64 #s(literal 3/4 binary64) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) |
(+ (* 3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3/4 (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))) (* 3/4 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))))) |
(+.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/4 binary64))) (*.f64 (*.f64 (*.f64 v v) #s(literal 3/4 binary64)) (+.f64 (-.f64 (/.f64 (*.f64 (PI.f64) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -9/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) |
(+ (* 3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* 3/4 (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))) (* (pow v 2) (+ (* 3/4 (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))) (* 3/4 (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))))))) |
(+.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/4 binary64))) (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -9/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3/4 binary64))) (*.f64 v (*.f64 v (+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -27/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 9/4 binary64))) (*.f64 (*.f64 v v) #s(literal 3/4 binary64))) (+.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -27/16 binary64)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 9/4 binary64))))))))) |
(* -3/4 (* (pow v 3) (* (PI) (sqrt -6)))) |
(*.f64 (*.f64 v v) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v #s(literal -3/4 binary64)))) |
(* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))))) |
(*.f64 v (*.f64 (*.f64 v v) (+.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -3/4 binary64))) (/.f64 (*.f64 #s(literal 3/4 binary64) (-.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 v v))))) |
(* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3/4 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))) |
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -3/4 binary64))) (*.f64 #s(literal 3/4 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 (*.f64 v v) (*.f64 v v))))))) |
(* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3/4 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3/4 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))) |
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -3/4 binary64))) (*.f64 #s(literal 3/4 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 (*.f64 v v) (*.f64 v v)))))) (/.f64 (*.f64 #s(literal -3/8 binary64) (+.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal -6 binary64)) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))) (pow.f64 v #s(literal 6 binary64))))) |
(* 3/4 (* (pow v 3) (* (PI) (sqrt -6)))) |
(*.f64 (*.f64 v (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3/4 binary64)))) |
(* -1 (* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2)))))) |
(*.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -3/4 binary64))) (/.f64 (*.f64 #s(literal 3/4 binary64) (-.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 v v))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v)))) |
(* -1 (* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (* 3/4 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4))))))) |
(*.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -3/4 binary64))) (*.f64 #s(literal 3/4 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 v v)) (/.f64 (+.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 (*.f64 v v) (*.f64 v v)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v)))) |
(* -1 (* (pow v 3) (+ (* -3/4 (* (PI) (sqrt -6))) (+ (* 3/4 (/ (+ (* -1 (/ (PI) (sqrt -6))) (* (PI) (sqrt -6))) (pow v 2))) (+ (* 3/4 (/ (+ (* -1/2 (/ (PI) (pow (sqrt -6) 3))) (* -1/2 (/ (PI) (pow (sqrt -6) 5)))) (pow v 6))) (* 3/4 (/ (+ (* 1/2 (/ (PI) (pow (sqrt -6) 3))) (/ (PI) (sqrt -6))) (pow v 4)))))))) |
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(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
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(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
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2 |
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(*.f64 v (+.f64 (*.f64 #s(literal -3 binary64) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))) |
(* -1 (* v (+ (* -3/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3 (* (PI) (sqrt -6))) (* 3 (/ (PI) (* (pow v 2) (sqrt -6))))))))) |
(*.f64 v (+.f64 (*.f64 #s(literal -3 binary64) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (neg.f64 (+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 (PI.f64) #s(literal 3/2 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))))))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(* 3/4 (* (PI) (sqrt 2))) |
(*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/4 binary64))) |
(+ (* -9/4 (/ (* (pow v 2) (PI)) (sqrt 2))) (* 3/4 (* (PI) (sqrt 2)))) |
(+.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/4 binary64))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 v v)) #s(literal -9/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* 3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/8 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -9/4 (/ (PI) (sqrt 2)))))) |
(+.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/4 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -27/16 binary64)) (/.f64 (*.f64 (PI.f64) #s(literal -9/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
(+ (* 3/4 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/4 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -81/8 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -27/8 (/ (PI) (pow (sqrt 2) 3)))))))) |
(+.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/4 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -9/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 v (*.f64 v (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 v v)) #s(literal -81/8 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -27/16 binary64)))))))) |
(* 3/4 (* v (* (PI) (sqrt -6)))) |
(*.f64 v (*.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 3/4 binary64)))) |
(* v (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (PI) (* (pow v 2) (sqrt -6)))))) |
(*.f64 (*.f64 v #s(literal 3/4 binary64)) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) |
(* v (+ (* -3/8 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (PI) (* (pow v 2) (sqrt -6))))))) |
(*.f64 v (+.f64 (*.f64 #s(literal 3/4 binary64) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/16 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))) |
(* v (+ (* -3/8 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/8 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (PI) (* (pow v 2) (sqrt -6)))))))) |
(*.f64 v (+.f64 (*.f64 #s(literal 3/4 binary64) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/16 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 (PI.f64) #s(literal 3/8 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))))) |
(* -3/4 (* v (* (PI) (sqrt -6)))) |
(*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v #s(literal -3/4 binary64))) |
(* -1 (* v (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (PI) (* (pow v 2) (sqrt -6))))))) |
(*.f64 v (*.f64 #s(literal -3/4 binary64) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))) |
(* -1 (* v (+ (* -3/8 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (PI) (* (pow v 2) (sqrt -6)))))))) |
(*.f64 v (+.f64 (*.f64 #s(literal -3/4 binary64) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/16 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))) |
(* -1 (* v (+ (* -3/8 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 3/8 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 3/4 (* (PI) (sqrt -6))) (* 3/4 (/ (PI) (* (pow v 2) (sqrt -6))))))))) |
(*.f64 v (+.f64 (*.f64 #s(literal -3/4 binary64) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (neg.f64 (+.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/16 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 (PI.f64) #s(literal 3/8 binary64)) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))))))) |
Compiled 72 195 to 6 160 computations (91.5% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 630 | 3 | 2 633 |
| Fresh | 0 | 3 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 632 | 10 | 2 642 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.5% | (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (*.f64 (PI.f64) #s(literal 3 binary64))) |
| ▶ | 98.5% | (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64))) |
| 100.0% | (/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) | |
| ▶ | 98.5% | (/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64)) |
| ✓ | 98.4% | (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | 98.5% | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64)) (PI.f64))) |
| ▶ | 100.0% | (/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64))) |
| ▶ | 98.5% | (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) |
| ▶ | 98.5% | (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3 binary64))) |
| ✓ | 96.9% | (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
Compiled 236 to 196 computations (16.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 4 binary64) (PI.f64)) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) |
| ✓ | cost-diff | 0 | (PI.f64) |
| ✓ | cost-diff | 0 | (*.f64 (PI.f64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 v v)) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64))) |
| 4 276× | *-lowering-*.f32 |
| 4 276× | *-lowering-*.f64 |
| 2 594× | accelerator-lowering-fma.f32 |
| 2 594× | accelerator-lowering-fma.f64 |
| 1 882× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 296 |
| 1 | 72 | 294 |
| 2 | 154 | 294 |
| 3 | 263 | 294 |
| 4 | 624 | 294 |
| 5 | 1244 | 294 |
| 6 | 2582 | 294 |
| 7 | 5941 | 294 |
| 0 | 8136 | 272 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 4/3 (* (* (- 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))) (PI))) |
4/3 |
(* (* (- 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))) (PI)) |
(* (- 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))) |
(- 1 (* v v)) |
1 |
(* v v) |
v |
(sqrt (+ 2 (* (* v v) -6))) |
(+ 2 (* (* v v) -6)) |
2 |
(* (* v v) -6) |
-6 |
(PI) |
(/ 4/3 (* (PI) (sqrt (- 2 (* (* v v) 6))))) |
4/3 |
(* (PI) (sqrt (- 2 (* (* v v) 6)))) |
(PI) |
(sqrt (- 2 (* (* v v) 6))) |
(- 2 (* (* v v) 6)) |
2 |
(* (* v v) 6) |
(* v v) |
v |
6 |
(/ (/ 4/3 (sqrt (+ 2 (* (* v v) -6)))) (PI)) |
(/ 4/3 (sqrt (+ 2 (* (* v v) -6)))) |
4/3 |
(sqrt (+ 2 (* (* v v) -6))) |
(+ 2 (* (* v v) -6)) |
2 |
(* (* v v) -6) |
(* v v) |
v |
-6 |
(PI) |
(/ (/ 4 (PI)) (* (sqrt (- 2 (* (* v v) 6))) 3)) |
(/ 4 (PI)) |
4 |
(PI) |
(* (sqrt (- 2 (* (* v v) 6))) 3) |
(sqrt (- 2 (* (* v v) 6))) |
(- 2 (* (* v v) 6)) |
2 |
(* (* v v) 6) |
(* v v) |
v |
6 |
3 |
(* (/ 4 (sqrt (- 2 (* (* v v) 6)))) (/ (/ 1 (PI)) 3)) |
(/ 4 (sqrt (- 2 (* (* v v) 6)))) |
4 |
(sqrt (- 2 (* (* v v) 6))) |
(- 2 (* (* v v) 6)) |
2 |
(* (* v v) 6) |
(* v v) |
v |
6 |
(/ (/ 1 (PI)) 3) |
(/ 1 (PI)) |
1 |
(PI) |
3 |
| Outputs |
|---|
(/ 4/3 (* (* (- 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))) (PI))) |
(/.f64 (/.f64 #s(literal -4/3 binary64) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) |
4/3 |
#s(literal 4/3 binary64) |
(* (* (- 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))) (PI)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) |
(* (- 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) |
(- 1 (* v v)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
1 |
#s(literal 1 binary64) |
(* v v) |
(*.f64 v v) |
v |
(sqrt (+ 2 (* (* v v) -6))) |
(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) |
(+ 2 (* (* v v) -6)) |
(-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) |
2 |
#s(literal 2 binary64) |
(* (* v v) -6) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
-6 |
#s(literal -6 binary64) |
(PI) |
(PI.f64) |
(/ 4/3 (* (PI) (sqrt (- 2 (* (* v v) 6))))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) |
4/3 |
#s(literal 4/3 binary64) |
(* (PI) (sqrt (- 2 (* (* v v) 6)))) |
(*.f64 (PI.f64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) |
(PI) |
(PI.f64) |
(sqrt (- 2 (* (* v v) 6))) |
(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) |
(- 2 (* (* v v) 6)) |
(-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) |
2 |
#s(literal 2 binary64) |
(* (* v v) 6) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* v v) |
(*.f64 v v) |
v |
6 |
#s(literal 6 binary64) |
(/ (/ 4/3 (sqrt (+ 2 (* (* v v) -6)))) (PI)) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) |
(/ 4/3 (sqrt (+ 2 (* (* v v) -6)))) |
(/.f64 #s(literal 4/3 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) |
4/3 |
#s(literal 4/3 binary64) |
(sqrt (+ 2 (* (* v v) -6))) |
(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) |
(+ 2 (* (* v v) -6)) |
(-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) |
2 |
#s(literal 2 binary64) |
(* (* v v) -6) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* v v) |
(*.f64 v v) |
v |
-6 |
#s(literal -6 binary64) |
(PI) |
(PI.f64) |
(/ (/ 4 (PI)) (* (sqrt (- 2 (* (* v v) 6))) 3)) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) |
(/ 4 (PI)) |
(/.f64 #s(literal 4 binary64) (PI.f64)) |
4 |
#s(literal 4 binary64) |
(PI) |
(PI.f64) |
(* (sqrt (- 2 (* (* v v) 6))) 3) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64)) |
(sqrt (- 2 (* (* v v) 6))) |
(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) |
(- 2 (* (* v v) 6)) |
(-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) |
2 |
#s(literal 2 binary64) |
(* (* v v) 6) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* v v) |
(*.f64 v v) |
v |
6 |
#s(literal 6 binary64) |
3 |
#s(literal 3 binary64) |
(* (/ 4 (sqrt (- 2 (* (* v v) 6)))) (/ (/ 1 (PI)) 3)) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) |
(/ 4 (sqrt (- 2 (* (* v v) 6)))) |
(/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) |
4 |
#s(literal 4 binary64) |
(sqrt (- 2 (* (* v v) 6))) |
(sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) |
(- 2 (* (* v v) 6)) |
(-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))) |
2 |
#s(literal 2 binary64) |
(* (* v v) 6) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* v v) |
(*.f64 v v) |
v |
6 |
#s(literal 6 binary64) |
(/ (/ 1 (PI)) 3) |
(/.f64 #s(literal 1/3 binary64) (PI.f64)) |
(/ 1 (PI)) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
1 |
#s(literal 1 binary64) |
(PI) |
(PI.f64) |
3 |
#s(literal 3 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal 6 binary64)) |
| ✓ | accuracy | 98.5% | (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3 binary64))) |
| ✓ | accuracy | 98.5% | (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal 6 binary64)) |
| ✓ | accuracy | 98.5% | (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64)) |
| ✓ | accuracy | 98.5% | (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal -6 binary64)) |
| ✓ | accuracy | 98.5% | (/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64)) |
| ✓ | accuracy | 98.5% | (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
| ✓ | accuracy | 100.0% | (PI.f64) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal 6 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 v v) #s(literal -6 binary64)) |
| 61.0ms | 256× | 0 | valid |
Compiled 304 to 33 computations (89.1% saved)
ival-div: 14.0ms (35.2% of total)ival-mult: 13.0ms (32.7% of total)ival-sqrt: 4.0ms (10.1% of total)const: 4.0ms (10.1% of total)ival-sub: 2.0ms (5% of total)ival-pi: 1.0ms (2.5% of total)ival-add: 1.0ms (2.5% of total)exact: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 4/3 (* (* (- 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))) (PI)))> |
#<alt (* (* (- 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))) (PI))> |
#<alt (* (- 1 (* v v)) (sqrt (+ 2 (* (* v v) -6))))> |
#<alt (- 1 (* v v))> |
#<alt (/ 4/3 (* (PI) (sqrt (- 2 (* (* v v) 6)))))> |
#<alt (* (PI) (sqrt (- 2 (* (* v v) 6))))> |
#<alt (PI)> |
#<alt (sqrt (- 2 (* (* v v) 6)))> |
#<alt (/ (/ 4/3 (sqrt (+ 2 (* (* v v) -6)))) (PI))> |
#<alt (/ 4/3 (sqrt (+ 2 (* (* v v) -6))))> |
#<alt (sqrt (+ 2 (* (* v v) -6)))> |
#<alt (+ 2 (* (* v v) -6))> |
#<alt (/ (/ 4 (PI)) (* (sqrt (- 2 (* (* v v) 6))) 3))> |
#<alt (/ 4 (PI))> |
#<alt (* (sqrt (- 2 (* (* v v) 6))) 3)> |
#<alt (* (/ 4 (sqrt (- 2 (* (* v v) 6)))) (/ (/ 1 (PI)) 3))> |
#<alt (/ (/ 1 (PI)) 3)> |
#<alt (/ 4 (sqrt (- 2 (* (* v v) 6))))> |
#<alt (* (* v v) -6)> |
#<alt (* (* v v) 6)> |
| Outputs |
|---|
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))> |
#<alt (+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))))))> |
#<alt (* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))> |
#<alt (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))> |
#<alt (* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI))))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)))> |
#<alt (* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)))> |
#<alt (* (PI) (sqrt 2))> |
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2))))))> |
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2)))))))))> |
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3))))))))))))> |
#<alt (* -1 (* (pow v 3) (* (PI) (sqrt -6))))> |
#<alt (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (/ (* (PI) (sqrt -6)) (pow v 2)))))> |
#<alt (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))> |
#<alt (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))))> |
#<alt (* (pow v 3) (* (PI) (sqrt -6)))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (/ (* (PI) (sqrt -6)) (pow v 2))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))> |
#<alt (* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))))> |
#<alt (sqrt 2)> |
#<alt (+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))> |
#<alt (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))> |
#<alt (+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2))))))> |
#<alt (* -1 (* (pow v 3) (sqrt -6)))> |
#<alt (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))> |
#<alt (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6)))))> |
#<alt (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6)))))> |
#<alt (* (pow v 3) (sqrt -6))> |
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))))> |
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6))))))> |
#<alt (* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6))))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow v 2)))> |
#<alt (+ 1 (* -1 (pow v 2)))> |
#<alt (+ 1 (* -1 (pow v 2)))> |
#<alt (* -1 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))> |
#<alt (* -1 (pow v 2))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))> |
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1))> |
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 2) (* (PI) (sqrt 1/2))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (/ 1 (* (PI) (sqrt 1/2))))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (/ 1 (* (PI) (sqrt 1/2))))))> |
#<alt (* 4/3 (/ (sqrt -1/6) (* v (PI))))> |
#<alt (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)> |
#<alt (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)> |
#<alt (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)> |
#<alt (* -4/3 (/ (sqrt -1/6) (* v (PI))))> |
#<alt (* -1 (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))> |
#<alt (* -1 (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v))> |
#<alt (* -1 (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v))> |
#<alt (* (PI) (sqrt 2))> |
#<alt (+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))> |
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))> |
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))> |
#<alt (* v (* (PI) (sqrt -6)))> |
#<alt (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))> |
#<alt (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))> |
#<alt (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))> |
#<alt (* -1 (* v (* (PI) (sqrt -6))))> |
#<alt (* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))> |
#<alt (* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))> |
#<alt (* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))> |
#<alt (sqrt 2)> |
#<alt (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))> |
#<alt (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))> |
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))> |
#<alt (* v (sqrt -6))> |
#<alt (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))> |
#<alt (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))> |
#<alt (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))> |
#<alt (* -1 (* v (sqrt -6)))> |
#<alt (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))> |
#<alt (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))> |
#<alt (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))> |
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 2) (* (PI) (sqrt 1/2))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (/ 1 (* (PI) (sqrt 1/2))))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (/ 1 (* (PI) (sqrt 1/2))))))> |
#<alt (* 4/3 (/ (sqrt -1/6) (* v (PI))))> |
#<alt (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)> |
#<alt (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)> |
#<alt (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)> |
#<alt (* -4/3 (/ (sqrt -1/6) (* v (PI))))> |
#<alt (* -1 (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))> |
#<alt (* -1 (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v))> |
#<alt (* -1 (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v))> |
#<alt (* 4/3 (sqrt 1/2))> |
#<alt (+ (* 4/3 (sqrt 1/2)) (/ (pow v 2) (sqrt 1/2)))> |
#<alt (+ (* 4/3 (sqrt 1/2)) (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (/ 1 (sqrt 1/2)))))> |
#<alt (+ (* 4/3 (sqrt 1/2)) (* (pow v 2) (+ (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (/ 1 (sqrt 1/2)))))> |
#<alt (* 4/3 (/ (sqrt -1/6) v))> |
#<alt (/ (- (* 4/3 (sqrt -1/6)) (* 1/27 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)> |
#<alt (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4/3 (sqrt -1/6))) (/ 1/27 (* (pow v 2) (sqrt -1/6)))) v)> |
#<alt (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4/3 (sqrt -1/6)))) (/ 1/27 (* (pow v 2) (sqrt -1/6)))) v)> |
#<alt (* -4/3 (/ (sqrt -1/6) v))> |
#<alt (* -1 (/ (- (* 4/3 (sqrt -1/6)) (* 1/27 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))> |
#<alt (* -1 (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4/3 (sqrt -1/6))) (/ 1/27 (* (pow v 2) (sqrt -1/6)))) v))> |
#<alt (* -1 (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4/3 (sqrt -1/6)))) (/ 1/27 (* (pow v 2) (sqrt -1/6)))) v))> |
#<alt (sqrt 2)> |
#<alt (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))> |
#<alt (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))> |
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))> |
#<alt (* v (sqrt -6))> |
#<alt (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))> |
#<alt (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))> |
#<alt (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))> |
#<alt (* -1 (* v (sqrt -6)))> |
#<alt (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))> |
#<alt (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))> |
#<alt (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))> |
#<alt 2> |
#<alt (+ 2 (* -6 (pow v 2)))> |
#<alt (+ 2 (* -6 (pow v 2)))> |
#<alt (+ 2 (* -6 (pow v 2)))> |
#<alt (* -6 (pow v 2))> |
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))> |
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))> |
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))> |
#<alt (* -6 (pow v 2))> |
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))> |
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))> |
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))> |
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 2) (* (PI) (sqrt 1/2))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (/ 1 (* (PI) (sqrt 1/2))))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (/ 1 (* (PI) (sqrt 1/2))))))> |
#<alt (* 4/3 (/ (sqrt -1/6) (* v (PI))))> |
#<alt (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)> |
#<alt (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)> |
#<alt (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)> |
#<alt (* -4/3 (/ (sqrt -1/6) (* v (PI))))> |
#<alt (* -1 (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))> |
#<alt (* -1 (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v))> |
#<alt (* -1 (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v))> |
#<alt (* 3 (sqrt 2))> |
#<alt (+ (* -9 (/ (pow v 2) (sqrt 2))) (* 3 (sqrt 2)))> |
#<alt (+ (* 3 (sqrt 2)) (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 9 (/ 1 (sqrt 2))))))> |
#<alt (+ (* 3 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -81/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 27/2 (/ 1 (pow (sqrt 2) 3))))) (* 9 (/ 1 (sqrt 2))))))> |
#<alt (* 3 (* v (sqrt -6)))> |
#<alt (* v (+ (* 3 (sqrt -6)) (* 3 (/ 1 (* (pow v 2) (sqrt -6))))))> |
#<alt (* v (- (+ (* 3 (sqrt -6)) (/ 3 (* (pow v 2) (sqrt -6)))) (/ 3/2 (* (pow v 4) (pow (sqrt -6) 3)))))> |
#<alt (* v (- (+ (* 3 (sqrt -6)) (+ (* 3/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))) (/ 3 (* (pow v 2) (sqrt -6))))) (* 3/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))> |
#<alt (* -3 (* v (sqrt -6)))> |
#<alt (* -1 (* v (+ (* 3 (sqrt -6)) (* 3 (/ 1 (* (pow v 2) (sqrt -6)))))))> |
#<alt (* -1 (* v (- (+ (* 3 (sqrt -6)) (/ 3 (* (pow v 2) (sqrt -6)))) (/ 3/2 (* (pow v 4) (pow (sqrt -6) 3))))))> |
#<alt (* -1 (* v (- (+ (* 3 (sqrt -6)) (+ (* 3/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))) (/ 3 (* (pow v 2) (sqrt -6))))) (* 3/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))> |
#<alt (* 4/3 (/ (sqrt 1/2) (PI)))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 2) (* (PI) (sqrt 1/2))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (/ 1 (* (PI) (sqrt 1/2))))))> |
#<alt (+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (/ 1 (* (PI) (sqrt 1/2))))))> |
#<alt (* 4/3 (/ (sqrt -1/6) (* v (PI))))> |
#<alt (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)> |
#<alt (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)> |
#<alt (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)> |
#<alt (* -4/3 (/ (sqrt -1/6) (* v (PI))))> |
#<alt (* -1 (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))> |
#<alt (* -1 (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v))> |
#<alt (* -1 (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v))> |
#<alt (* 4 (sqrt 1/2))> |
#<alt (+ (* 3 (/ (pow v 2) (sqrt 1/2))) (* 4 (sqrt 1/2)))> |
#<alt (+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3 (/ 1 (sqrt 1/2))))))> |
#<alt (+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3 (/ 1 (sqrt 1/2))))))> |
#<alt (* 4 (/ (sqrt -1/6) v))> |
#<alt (/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)> |
#<alt (/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)> |
#<alt (/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)> |
#<alt (* -4 (/ (sqrt -1/6) v))> |
#<alt (* -1 (/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v))> |
#<alt (* -1 (/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v))> |
#<alt (* -1 (/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* -6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
#<alt (* 6 (pow v 2))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | v | @ | 0 | (/ (/ 4 (PI)) (* (sqrt (- 2 (* (* v v) 6))) 3)) |
| 2.0ms | v | @ | 0 | (* (* (- 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))) (PI)) |
| 0.0ms | v | @ | inf | (* (- 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))) |
| 0.0ms | v | @ | inf | (/ 4/3 (sqrt (+ 2 (* (* v v) -6)))) |
| 0.0ms | v | @ | 0 | (* (- 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))) |
| 1× | batch-egg-rewrite |
| 4 324× | *-lowering-*.f32 |
| 4 324× | *-lowering-*.f64 |
| 3 418× | /-lowering-/.f32 |
| 3 418× | /-lowering-/.f64 |
| 2 822× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 183 |
| 1 | 187 | 181 |
| 2 | 1441 | 181 |
| 0 | 8532 | 167 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 4/3 (* (* (- 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))) (PI))) |
(* (* (- 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))) (PI)) |
(* (- 1 (* v v)) (sqrt (+ 2 (* (* v v) -6)))) |
(- 1 (* v v)) |
(/ 4/3 (* (PI) (sqrt (- 2 (* (* v v) 6))))) |
(* (PI) (sqrt (- 2 (* (* v v) 6)))) |
(PI) |
(sqrt (- 2 (* (* v v) 6))) |
(/ (/ 4/3 (sqrt (+ 2 (* (* v v) -6)))) (PI)) |
(/ 4/3 (sqrt (+ 2 (* (* v v) -6)))) |
(sqrt (+ 2 (* (* v v) -6))) |
(+ 2 (* (* v v) -6)) |
(/ (/ 4 (PI)) (* (sqrt (- 2 (* (* v v) 6))) 3)) |
(/ 4 (PI)) |
(* (sqrt (- 2 (* (* v v) 6))) 3) |
(* (/ 4 (sqrt (- 2 (* (* v v) 6)))) (/ (/ 1 (PI)) 3)) |
(/ (/ 1 (PI)) 3) |
(/ 4 (sqrt (- 2 (* (* v v) 6)))) |
(* (* v v) -6) |
(* (* v v) 6) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4/3 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))) |
(neg.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4/3 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))))) |
(neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) (/.f64 #s(literal -1 binary64) (PI.f64)))) |
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) (-.f64 #s(literal 0 binary64) (PI.f64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64))))))) |
(neg.f64 (/.f64 (/.f64 #s(literal -4/3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))) (PI.f64))) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 4/3 binary64) (/.f64 (PI.f64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) #s(literal 4/3 binary64)) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) (/.f64 #s(literal 4/3 binary64) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) (sqrt.f64 (PI.f64))))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) #s(literal -4/3 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) #s(literal 4/3 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64)))) |
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(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3/4 binary64))) |
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(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) #s(literal 4 binary64)))) |
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(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))) |
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(*.f64 (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (PI.f64)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64))) |
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) (-.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (/.f64 #s(literal -1 binary64) (cbrt.f64 (PI.f64)))) |
(*.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) (-.f64 #s(literal 0 binary64) (cbrt.f64 (PI.f64))))) |
(*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) (/.f64 #s(literal 4/3 binary64) (PI.f64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)))) |
(neg.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)))) |
(neg.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64))) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) #s(literal 1/3 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64))))) |
(neg.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (PI.f64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal 3 binary64)))) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -3 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) #s(literal -3 binary64)) |
(/.f64 #s(literal 1/3 binary64) (PI.f64)) |
(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) |
(pow.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (PI.f64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)))) |
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(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (PI.f64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1/3 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))))) |
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(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))) #s(literal 1 binary64)) |
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(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) #s(literal -1/2 binary64)) #s(literal 4 binary64)) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64))))) #s(literal 4 binary64)) #s(literal -1/2 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v #s(literal 6 binary64)))) |
(neg.f64 (*.f64 v (*.f64 v #s(literal 6 binary64)))) |
(/.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -216 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 36 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v #s(literal 6 binary64))))))) |
(/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -36 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v #s(literal 6 binary64))))) |
(*.f64 v (*.f64 v #s(literal -6 binary64))) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(*.f64 #s(literal -6 binary64) (*.f64 v v)) |
(*.f64 #s(literal 6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))) |
(*.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 6 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal 6 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 v #s(literal 6 binary64))) |
(*.f64 (*.f64 v #s(literal -6 binary64)) v) |
(*.f64 (*.f64 v #s(literal 6 binary64)) (-.f64 #s(literal 0 binary64) v)) |
(-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) |
(neg.f64 (*.f64 v (*.f64 v #s(literal -6 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 6 binary64)))) |
(*.f64 v (*.f64 v #s(literal 6 binary64))) |
(*.f64 v (neg.f64 (*.f64 v #s(literal -6 binary64)))) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(*.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))) |
(*.f64 #s(literal 6 binary64) (*.f64 v v)) |
(*.f64 #s(literal 6 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)))) |
(*.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal -6 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 v #s(literal -6 binary64))) |
(*.f64 (*.f64 v #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) v)) |
(*.f64 (*.f64 v #s(literal 6 binary64)) v) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v))) #s(literal 6 binary64)) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) v)) (*.f64 v #s(literal 6 binary64))) |
(*.f64 (neg.f64 (*.f64 v #s(literal -6 binary64))) v) |
| 1× | egg-herbie |
| 9 950× | accelerator-lowering-fma.f32 |
| 9 950× | accelerator-lowering-fma.f64 |
| 5 710× | *-lowering-*.f32 |
| 5 710× | *-lowering-*.f64 |
| 3 376× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 474 | 4958 |
| 1 | 1514 | 4073 |
| 2 | 5555 | 3960 |
| 0 | 8227 | 3789 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4/3 (/ (sqrt 1/2) (PI))) |
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI)))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))))) |
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)) |
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))) |
(* (PI) (sqrt 2)) |
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))) |
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))) |
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))))))))) |
(* -1 (* (pow v 3) (* (PI) (sqrt -6)))) |
(* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (/ (* (PI) (sqrt -6)) (pow v 2))))) |
(* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))) |
(* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))) |
(* (pow v 3) (* (PI) (sqrt -6))) |
(* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (/ (* (PI) (sqrt -6)) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))) |
(* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2)))))))))) |
(sqrt 2) |
(+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (+ (* 3 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2)))))) |
(* -1 (* (pow v 3) (sqrt -6))) |
(* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))) |
(* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6))))) |
(* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6))))) |
(* (pow v 3) (sqrt -6)) |
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))) |
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6)))))) |
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6)))))) |
1 |
(+ 1 (* -1 (pow v 2))) |
(+ 1 (* -1 (pow v 2))) |
(+ 1 (* -1 (pow v 2))) |
(* -1 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(* -1 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(* 4/3 (/ (sqrt 1/2) (PI))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 2) (* (PI) (sqrt 1/2)))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (/ 1 (* (PI) (sqrt 1/2)))))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (/ 1 (* (PI) (sqrt 1/2)))))) |
(* 4/3 (/ (sqrt -1/6) (* v (PI)))) |
(/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v) |
(/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v) |
(* -4/3 (/ (sqrt -1/6) (* v (PI)))) |
(* -1 (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) |
(* -1 (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)) |
(* -1 (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)) |
(* (PI) (sqrt 2)) |
(+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2))) |
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))) |
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3)))))))) |
(* v (* (PI) (sqrt -6))) |
(* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))) |
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))) |
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (* (PI) (sqrt -6)))) |
(* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))) |
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))) |
(sqrt 2) |
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2)))) |
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2)))))) |
(* v (sqrt -6)) |
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))) |
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))) |
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))) |
(* -1 (* v (sqrt -6))) |
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))) |
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))) |
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) |
(* 4/3 (/ (sqrt 1/2) (PI))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 2) (* (PI) (sqrt 1/2)))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (/ 1 (* (PI) (sqrt 1/2)))))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (/ 1 (* (PI) (sqrt 1/2)))))) |
(* 4/3 (/ (sqrt -1/6) (* v (PI)))) |
(/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v) |
(/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v) |
(* -4/3 (/ (sqrt -1/6) (* v (PI)))) |
(* -1 (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) |
(* -1 (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)) |
(* -1 (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)) |
(* 4/3 (sqrt 1/2)) |
(+ (* 4/3 (sqrt 1/2)) (/ (pow v 2) (sqrt 1/2))) |
(+ (* 4/3 (sqrt 1/2)) (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (/ 1 (sqrt 1/2))))) |
(+ (* 4/3 (sqrt 1/2)) (* (pow v 2) (+ (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (/ 1 (sqrt 1/2))))) |
(* 4/3 (/ (sqrt -1/6) v)) |
(/ (- (* 4/3 (sqrt -1/6)) (* 1/27 (/ 1 (* (pow v 2) (sqrt -1/6))))) v) |
(/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4/3 (sqrt -1/6))) (/ 1/27 (* (pow v 2) (sqrt -1/6)))) v) |
(/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4/3 (sqrt -1/6)))) (/ 1/27 (* (pow v 2) (sqrt -1/6)))) v) |
(* -4/3 (/ (sqrt -1/6) v)) |
(* -1 (/ (- (* 4/3 (sqrt -1/6)) (* 1/27 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)) |
(* -1 (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4/3 (sqrt -1/6))) (/ 1/27 (* (pow v 2) (sqrt -1/6)))) v)) |
(* -1 (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4/3 (sqrt -1/6)))) (/ 1/27 (* (pow v 2) (sqrt -1/6)))) v)) |
(sqrt 2) |
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2)))) |
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2)))))) |
(* v (sqrt -6)) |
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))) |
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))) |
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))) |
(* -1 (* v (sqrt -6))) |
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))) |
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))) |
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) |
2 |
(+ 2 (* -6 (pow v 2))) |
(+ 2 (* -6 (pow v 2))) |
(+ 2 (* -6 (pow v 2))) |
(* -6 (pow v 2)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* -6 (pow v 2)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* 4/3 (/ (sqrt 1/2) (PI))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 2) (* (PI) (sqrt 1/2)))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (/ 1 (* (PI) (sqrt 1/2)))))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (/ 1 (* (PI) (sqrt 1/2)))))) |
(* 4/3 (/ (sqrt -1/6) (* v (PI)))) |
(/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v) |
(/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v) |
(* -4/3 (/ (sqrt -1/6) (* v (PI)))) |
(* -1 (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) |
(* -1 (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)) |
(* -1 (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)) |
(* 3 (sqrt 2)) |
(+ (* -9 (/ (pow v 2) (sqrt 2))) (* 3 (sqrt 2))) |
(+ (* 3 (sqrt 2)) (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 9 (/ 1 (sqrt 2)))))) |
(+ (* 3 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -81/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 27/2 (/ 1 (pow (sqrt 2) 3))))) (* 9 (/ 1 (sqrt 2)))))) |
(* 3 (* v (sqrt -6))) |
(* v (+ (* 3 (sqrt -6)) (* 3 (/ 1 (* (pow v 2) (sqrt -6)))))) |
(* v (- (+ (* 3 (sqrt -6)) (/ 3 (* (pow v 2) (sqrt -6)))) (/ 3/2 (* (pow v 4) (pow (sqrt -6) 3))))) |
(* v (- (+ (* 3 (sqrt -6)) (+ (* 3/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))) (/ 3 (* (pow v 2) (sqrt -6))))) (* 3/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))) |
(* -3 (* v (sqrt -6))) |
(* -1 (* v (+ (* 3 (sqrt -6)) (* 3 (/ 1 (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (- (+ (* 3 (sqrt -6)) (/ 3 (* (pow v 2) (sqrt -6)))) (/ 3/2 (* (pow v 4) (pow (sqrt -6) 3)))))) |
(* -1 (* v (- (+ (* 3 (sqrt -6)) (+ (* 3/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))) (/ 3 (* (pow v 2) (sqrt -6))))) (* 3/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) |
(* 4/3 (/ (sqrt 1/2) (PI))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 2) (* (PI) (sqrt 1/2)))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (/ 1 (* (PI) (sqrt 1/2)))))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* (pow v 2) (+ (* 2/3 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (* (PI) (sqrt 1/2)))) (* 2/3 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))))) (/ 1 (* (PI) (sqrt 1/2)))))) |
(* 4/3 (/ (sqrt -1/6) (* v (PI)))) |
(/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v) |
(/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v) |
(* -4/3 (/ (sqrt -1/6) (* v (PI)))) |
(* -1 (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) |
(* -1 (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)) |
(* -1 (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)) |
(* 4 (sqrt 1/2)) |
(+ (* 3 (/ (pow v 2) (sqrt 1/2))) (* 4 (sqrt 1/2))) |
(+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3 (/ 1 (sqrt 1/2)))))) |
(+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3 (/ 1 (sqrt 1/2)))))) |
(* 4 (/ (sqrt -1/6) v)) |
(/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v) |
(/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v) |
(/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v) |
(* -4 (/ (sqrt -1/6) v)) |
(* -1 (/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)) |
(* -1 (/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)) |
(* -1 (/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* -6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
(* 6 (pow v 2)) |
| Outputs |
|---|
(* 4/3 (/ (sqrt 1/2) (PI))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) |
(+ (* 4/3 (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (* 4/3 (/ (sqrt 1/2) (PI)))) |
(*.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 3/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) |
(*.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 27/16 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (*.f64 v v)))) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (* (pow v 2) (+ (* 4/3 (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (* (pow v 2) (+ (* 4/3 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))))) (* 4/3 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))))))) |
(+.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) (*.f64 (*.f64 v v) (*.f64 #s(literal 4/3 binary64) (+.f64 (*.f64 (*.f64 (*.f64 v v) (+.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 135/16 binary64) (PI.f64)) (/.f64 #s(literal 27/8 binary64) (PI.f64)))))) (*.f64 v v)) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 27/16 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))))))) |
(* -4/3 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(/.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 v (*.f64 v v))) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3)) |
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (*.f64 v v))) (*.f64 v (*.f64 v v))) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3)) |
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 v v)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 #s(literal 1/144 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 (*.f64 v v) (*.f64 v v)))))) (*.f64 v (*.f64 v v))) |
(/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3)) |
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 v v)) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 #s(literal 1/144 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (+.f64 (/.f64 #s(literal 1/72 binary64) (PI.f64)) (/.f64 #s(literal 5/1296 binary64) (PI.f64))))) (pow.f64 v #s(literal 6 binary64))))))) (*.f64 v (*.f64 v v))) |
(* 4/3 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(/.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (PI.f64)) (*.f64 v (*.f64 v v))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2)))) (pow v 3))) |
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (/.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)))) (*.f64 v v))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v)))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))))) (pow v 3))) |
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 v v)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 #s(literal 1/144 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 (*.f64 v v) (*.f64 v v)))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v)))) |
(* -1 (/ (+ (* -4/3 (/ (sqrt -1/6) (PI))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (* 1/36 (/ 1 (* (PI) (sqrt -1/6))))) (pow v 2))) (+ (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))))) (pow v 4))) (* 4/3 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* 1/36 (/ 1 (* (PI) (sqrt -1/6)))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6)))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (PI) (sqrt -1/6))))))) (pow v 6)))))) (pow v 3))) |
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 #s(literal 4/3 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 v v)) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 #s(literal 1/144 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (+.f64 (/.f64 #s(literal 1/72 binary64) (PI.f64)) (/.f64 #s(literal 5/1296 binary64) (PI.f64))))) (pow.f64 v #s(literal 6 binary64))))))) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v)))) |
(* (PI) (sqrt 2)) |
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* -1 (* (PI) (sqrt 2)))))) |
(+.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (* 3 (/ (PI) (sqrt 2))))))))) |
(+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (-.f64 (*.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 v v) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64)))))) |
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (+ (* -1 (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (PI) (pow (sqrt 2) 3))) (+ (* 3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (PI) (pow (sqrt 2) 5))) (* 9/2 (/ (PI) (pow (sqrt 2) 3)))))))))))) |
(+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 v v) (+.f64 (-.f64 (*.f64 #s(literal -3 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v (*.f64 v (+.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (PI.f64) #s(literal -27/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 9/4 binary64)))))))))) |
(* -1 (* (pow v 3) (* (PI) (sqrt -6)))) |
(*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) |
(* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (/ (* (PI) (sqrt -6)) (pow v 2))))) |
(*.f64 v (*.f64 (*.f64 v v) (-.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 (PI.f64) (*.f64 v v)))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))) |
(* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))) |
(*.f64 (*.f64 v (*.f64 v v)) (-.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))) (*.f64 (/.f64 (PI.f64) (*.f64 v v)) (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64))) (sqrt.f64 #s(literal -6 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))) |
(* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (PI) (* (pow v 4) (sqrt -6))) (/ (* (PI) (sqrt -6)) (pow v 2))))))))) |
(*.f64 v (*.f64 (*.f64 v v) (-.f64 (+.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))))) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))) (*.f64 (/.f64 (PI.f64) (*.f64 v v)) (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -6 binary64))) (sqrt.f64 #s(literal -6 binary64)))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)))))) |
(* (pow v 3) (* (PI) (sqrt -6))) |
(*.f64 (PI.f64) (*.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) |
(* -1 (* (pow v 3) (+ (* -1 (* (PI) (sqrt -6))) (+ (* -1 (/ (PI) (* (pow v 2) (sqrt -6)))) (/ (* (PI) (sqrt -6)) (pow v 2)))))) |
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(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))) |
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(+ (sqrt 2) (* (pow v 2) (- (+ (* -1 (sqrt 2)) (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 3 (/ 1 (sqrt 2)))))) |
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(* -1 (* (pow v 3) (sqrt -6))) |
(-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) |
(* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6))))) |
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(* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6))))) |
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(* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow (sqrt -6) 3))) (* 1/2 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2)))))) (/ 1 (* (pow v 2) (sqrt -6))))) |
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(* (pow v 3) (sqrt -6)) |
(*.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) |
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))) |
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(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (+ (/ 1 (* (pow v 4) (sqrt -6))) (+ (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))) (/ (sqrt -6) (pow v 2))))) (/ 1 (* (pow v 2) (sqrt -6)))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow v 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(+ 1 (* -1 (pow v 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(+ 1 (* -1 (pow v 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(* -1 (pow v 2)) |
(-.f64 #s(literal 0 binary64) (*.f64 v v)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(* -1 (pow v 2)) |
(-.f64 #s(literal 0 binary64) (*.f64 v v)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(* 4/3 (/ (sqrt 1/2) (PI))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (PI.f64)) |
(+ (* 4/3 (/ (sqrt 1/2) (PI))) (/ (pow v 2) (* (PI) (sqrt 1/2)))) |
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(* 4/3 (/ (sqrt -1/6) (* v (PI)))) |
(/.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) v) (PI.f64)) |
(/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (PI.f64)) (/.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 v v)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) v) |
(/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v) |
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(/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v) |
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(* -4/3 (/ (sqrt -1/6) (* v (PI)))) |
(/.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) v) |
(* -1 (/ (- (* 4/3 (/ (sqrt -1/6) (PI))) (* 1/27 (/ 1 (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (PI.f64)) (/.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 v v)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (/ (- (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI)))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)) |
(/.f64 (+.f64 (-.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (PI.f64)) (/.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 v v)) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (/.f64 (/.f64 #s(literal -1/108 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (/ (- (+ (* -2/3 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* -2/3 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) (PI))))) (/ 1/27 (* (pow v 2) (* (PI) (sqrt -1/6))))) v)) |
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(* (PI) (sqrt 2)) |
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2))) |
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(* v (* (PI) (sqrt -6))) |
(*.f64 (PI.f64) (*.f64 v (sqrt.f64 #s(literal -6 binary64)))) |
(* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))) |
(*.f64 v (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) |
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))) |
(*.f64 v (+.f64 (/.f64 (PI.f64) (*.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal 1/12 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))) |
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(* -1 (* v (* (PI) (sqrt -6)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))) |
(* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))) |
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(sqrt 2) |
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(* 4/3 (sqrt 1/2)) |
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(* 4/3 (/ (sqrt -1/6) v)) |
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(sqrt 2) |
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(* v (sqrt -6)) |
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(* -1 (* v (sqrt -6))) |
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(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 3 (/ 1 (sqrt 1/2)))))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 27/4 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(+ (* 4 (sqrt 1/2)) (* (pow v 2) (+ (* (pow v 2) (+ (* 2 (/ (* (pow v 2) (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3 (/ 1 (sqrt 1/2)))))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 #s(literal 135/8 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 27/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) |
(* 4 (/ (sqrt -1/6) v)) |
(*.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) v)) |
(/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64)))) v) |
(/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v) |
(/.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (/.f64 #s(literal -1/36 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))) v) |
(/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (+.f64 (/.f64 #s(literal 1/72 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 5/1296 binary64) (pow.f64 v #s(literal 6 binary64))))) (+.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64))))) v) |
(* -4 (/ (sqrt -1/6) v)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) v) #s(literal -4 binary64)) |
(* -1 (/ (- (* 4 (sqrt -1/6)) (* 1/9 (/ 1 (* (pow v 2) (sqrt -1/6))))) v)) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64)))) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (/ (- (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)) |
(/.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (/.f64 #s(literal -1/36 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))) (-.f64 #s(literal 0 binary64) v)) |
(* -1 (/ (- (+ (* -2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (* 4 (sqrt -1/6)))) (/ 1/9 (* (pow v 2) (sqrt -1/6)))) v)) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (+.f64 (/.f64 #s(literal 1/72 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 5/1296 binary64) (pow.f64 v #s(literal 6 binary64))))) (+.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -1/6 binary64))))) (-.f64 #s(literal 0 binary64) v)) |
(* -6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -6 binary64))) |
(* -6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -6 binary64))) |
(* -6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -6 binary64))) |
(* -6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -6 binary64))) |
(* -6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -6 binary64))) |
(* -6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -6 binary64))) |
(* -6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -6 binary64))) |
(* -6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -6 binary64))) |
(* -6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -6 binary64))) |
(* -6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -6 binary64))) |
(* -6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -6 binary64))) |
(* -6 (pow v 2)) |
(*.f64 v (*.f64 v #s(literal -6 binary64))) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
(* 6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 6 binary64)) |
Compiled 58 105 to 4 587 computations (92.1% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 582 | 1 | 2 583 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 2 582 | 11 | 2 593 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.5% | (/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (*.f64 (PI.f64) #s(literal 3 binary64))) |
| ✓ | 98.5% | (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64))) |
| 97.0% | (/.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))) (PI.f64)) | |
| 100.0% | (/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) | |
| ✓ | 98.5% | (/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64)) |
| ✓ | 98.4% | (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | 98.5% | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64)) (PI.f64))) |
| ✓ | 100.0% | (/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64))) |
| ✓ | 98.5% | (/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) |
| ✓ | 98.5% | (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3 binary64))) |
| ✓ | 96.9% | (*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
Compiled 444 to 213 computations (52% saved)
| Inputs |
|---|
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64)) |
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))) |
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64)) (PI.f64))) |
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (*.f64 (PI.f64) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))) (PI.f64)) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (/.f64 #s(literal 4/3 binary64) (PI.f64))))) |
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) (*.f64 (PI.f64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))) |
(*.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (+.f64 #s(literal 1 binary64) (*.f64 v v))) |
(/.f64 #s(literal 4 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| Outputs |
|---|
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64))) |
4 calls:
| 8.0ms | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))) |
| 5.0ms | v |
| 5.0ms | (*.f64 v v) |
| 4.0ms | (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | v |
| 100.0% | 1 | (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))) |
| 100.0% | 1 | (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v))))) |
| 100.0% | 1 | (*.f64 v v) |
Compiled 46 to 33 computations (28.3% saved)
| Inputs |
|---|
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64)) |
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))) |
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64)) (PI.f64))) |
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (*.f64 (PI.f64) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 v (*.f64 v #s(literal -6 binary64)))))))) (PI.f64)) |
| Outputs |
|---|
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64)) (PI.f64))) |
2 calls:
| 4.0ms | v |
| 3.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | v |
| 98.5% | 1 | (*.f64 v v) |
Compiled 6 to 3 computations (50% saved)
| Inputs |
|---|
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64)) |
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 3 binary64)) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 6 binary64) (*.f64 v v)))))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64)) |
2 calls:
| 3.0ms | v |
| 2.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | v |
| 98.5% | 1 | (*.f64 v v) |
Compiled 6 to 3 computations (50% saved)
| Inputs |
|---|
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) |
| Outputs |
|---|
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) |
2 calls:
| 2.0ms | v |
| 2.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | v |
| 98.5% | 1 | (*.f64 v v) |
Compiled 6 to 3 computations (50% saved)
| Inputs |
|---|
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
1 calls:
| 28.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | v |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
| Outputs |
|---|
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
1 calls:
| 1.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | v |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 24× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 68 |
| 1 | 55 | 68 |
| 2 | 70 | 68 |
| 3 | 78 | 68 |
| 4 | 83 | 68 |
| 5 | 84 | 68 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64))) |
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64)) (PI.f64))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64)) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
| Outputs |
|---|
(/.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64))) |
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64)) (PI.f64))) |
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))) #s(literal 3 binary64)))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal -6 binary64))))) (PI.f64)) |
(/.f64 #s(literal 4/3 binary64) (*.f64 (PI.f64) (sqrt.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 v v) #s(literal 6 binary64)))))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 #s(literal 4/3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
| 15 314× | accelerator-lowering-fma.f32 |
| 15 314× | accelerator-lowering-fma.f64 |
| 6 152× | +-lowering-+.f64 |
| 6 152× | +-lowering-+.f32 |
| 5 352× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 200 |
| 1 | 169 | 192 |
| 2 | 1228 | 192 |
| 0 | 8404 | 179 |
| 0 | 235 | 1512 |
| 1 | 734 | 1328 |
| 2 | 2914 | 1253 |
| 0 | 8184 | 1206 |
| 0 | 16 | 63 |
| 1 | 91 | 61 |
| 2 | 616 | 61 |
| 3 | 5770 | 61 |
| 0 | 8436 | 55 |
| 0 | 40 | 214 |
| 1 | 219 | 182 |
| 2 | 1704 | 182 |
| 0 | 8449 | 174 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 196 to 147 computations (25% saved)
(abs v)
Compiled 256 to 156 computations (39.1% saved)
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