
Time bar (total: 8.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 50% | 0.1% | 0% | 50% | 0% | 4 |
| 0% | 0% | 50% | 0.1% | 0% | 50% | 0% | 5 |
| 37.5% | 18.7% | 31.2% | 0.1% | 0% | 50% | 0% | 6 |
| 43.8% | 21.9% | 28.1% | 0.1% | 0% | 50% | 0% | 7 |
| 65.6% | 32.8% | 17.2% | 0.1% | 0% | 50% | 0% | 8 |
| 70.3% | 35.1% | 14.8% | 0.1% | 0% | 50% | 0% | 9 |
| 82% | 41% | 9% | 0.1% | 0% | 50% | 0% | 10 |
| 84.8% | 42.3% | 7.6% | 0.1% | 0% | 50% | 0% | 11 |
| 90.8% | 45.4% | 4.6% | 0.1% | 0% | 50% | 0% | 12 |
Compiled 30 to 21 computations (30% saved)
| 1.2s | 8 256× | 0 | valid |
| 1.0ms | 9× | 0 | invalid |
ival-mult: 386.0ms (47.1% of total)ival-sub: 226.0ms (27.6% of total)ival-div: 81.0ms (9.9% of total)ival-sqrt: 59.0ms (7.2% of total)ival-pi: 43.0ms (5.3% of total)exact: 15.0ms (1.8% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 5 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
| 0 | 0 | - | 0 | - | (PI.f64) |
| 0 | 0 | - | 0 | - | (*.f64 (PI.f64) t) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) |
| 0 | 0 | - | 0 | - | (*.f64 v v) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (*.f64 v v)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 v v)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) |
| 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 |
| 81.0ms | 512× | 0 | valid |
Compiled 278 to 61 computations (78.1% saved)
ival-sub: 25.0ms (42.1% of total)ival-mult: 24.0ms (40.4% of total)ival-sqrt: 4.0ms (6.7% of total)ival-div: 3.0ms (5% of total)ival-pi: 2.0ms (3.4% of total)ival-true: 1.0ms (1.7% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 142 |
| 1 | 174 | 140 |
| 2 | 656 | 130 |
| 3 | 4501 | 130 |
| 0 | 19 | 28 |
| 0 | 32 | 28 |
| 1 | 70 | 28 |
| 2 | 214 | 26 |
| 3 | 928 | 26 |
| 4 | 4715 | 26 |
| 5 | 7471 | 26 |
| 0 | 8059 | 24 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(abs v)
(negabs t)
Compiled 28 to 19 computations (32.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.3% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
Compiled 28 to 19 computations (32.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) | |
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) | |
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) | |
| cost-diff | 2 | (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 123 |
| 0 | 32 | 123 |
| 1 | 70 | 123 |
| 2 | 214 | 113 |
| 3 | 928 | 113 |
| 4 | 4715 | 113 |
| 5 | 7471 | 113 |
| 0 | 8059 | 105 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
#s(literal 5 binary64) |
(*.f64 v v) |
v |
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) |
(*.f64 (PI.f64) t) |
(PI.f64) |
t |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) |
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) |
#s(literal 2 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) |
(*.f64 #s(literal 3 binary64) (*.f64 v v)) |
#s(literal 3 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 t (PI.f64))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(*.f64 (*.f64 v v) #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 v v) |
v |
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(*.f64 (PI.f64) t) |
(*.f64 t (PI.f64)) |
(PI.f64) |
t |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) |
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) |
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 v v)) |
#s(literal 3 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.158535009768442 | (*.f64 #s(literal 5 binary64) (*.f64 v v)) | |
| accuracy | 0.2421875 | (*.f64 (PI.f64) t) | |
| accuracy | 0.25390625 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) | |
| accuracy | 0.45998002930532605 | (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) |
| 43.0ms | 256× | 0 | valid |
Compiled 125 to 21 computations (83.2% saved)
ival-mult: 12.0ms (54.7% of total)ival-sub: 5.0ms (22.8% of total)ival-sqrt: 2.0ms (9.1% of total)ival-pi: 1.0ms (4.6% of total)ival-div: 1.0ms (4.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) |
(*.f64 (PI.f64) t) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| Outputs |
|---|
2 |
(+ 2 (* -6 (pow v 2))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -3 (pow v 2))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(* t (* (PI) (sqrt 2))) |
(+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2)))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2))))))))) |
(* 5 (pow v 2)) |
(* -6 (pow v 2)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -3 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 3)) |
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v) |
(* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))) |
(* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))) |
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))) |
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))) |
(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)) |
(* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))) |
(* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))) |
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))) |
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* t (PI)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | t | @ | 0 | ((* 2 (- 1 (* 3 (* v v)))) (- 1 (* 5 (* v v))) (- 1 (* 3 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (* 5 (* v v))) |
| 5.0ms | v | @ | inf | ((* 2 (- 1 (* 3 (* v v)))) (- 1 (* 5 (* v v))) (- 1 (* 3 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (* 5 (* v v))) |
| 4.0ms | v | @ | -inf | ((* 2 (- 1 (* 3 (* v v)))) (- 1 (* 5 (* v v))) (- 1 (* 3 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (* 5 (* v v))) |
| 3.0ms | t | @ | -inf | ((* 2 (- 1 (* 3 (* v v)))) (- 1 (* 5 (* v v))) (- 1 (* 3 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (* 5 (* v v))) |
| 3.0ms | v | @ | 0 | ((* 2 (- 1 (* 3 (* v v)))) (- 1 (* 5 (* v v))) (- 1 (* 3 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (* 5 (* v v))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 1336 |
| 1 | 576 | 1236 |
| 2 | 2427 | 1121 |
| 0 | 8097 | 1077 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
2 |
(+ 2 (* -6 (pow v 2))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -3 (pow v 2))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(* t (* (PI) (sqrt 2))) |
(+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2)))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2))))))))) |
(* 5 (pow v 2)) |
(* -6 (pow v 2)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -3 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 3)) |
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v) |
(* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))) |
(* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))) |
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))) |
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))) |
(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)) |
(* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))) |
(* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))) |
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))) |
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* t (PI)) |
| Outputs |
|---|
2 |
#s(literal 2 binary64) |
(+ 2 (* -6 (pow v 2))) |
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -5 (pow v 2))) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(+ 1 (* -3 (pow v 2))) |
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) |
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -5/2 binary64) v) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (/.f64 v (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -53/8 binary64) v) t) (/.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (fma.f64 #s(literal -241/16 binary64) (*.f64 v v) #s(literal -53/8 binary64))) (*.f64 v v) (/.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) |
(+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2)))) |
(*.f64 (fma.f64 (*.f64 v v) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))) |
(fma.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (fma.f64 (*.f64 v v) #s(literal -9/8 binary64) #s(literal -3/2 binary64))) (*.f64 v v))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2))))))))) |
(fma.f64 (fma.f64 (*.f64 v v) #s(literal -3/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (fma.f64 #s(literal -9/8 binary64) t (*.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 v v) t)))))) |
(* 5 (pow v 2)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(* -6 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -6 binary64)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal 6 binary64)) v) v) |
(* -5 (pow v 2)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(* -3 (pow v 2)) |
(*.f64 #s(literal -3 binary64) (*.f64 v v)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 3)) |
(fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(*.f64 (/.f64 #s(literal 5 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) v)) |
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (+.f64 (/.f64 #s(literal 5 binary64) t) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) t))) (/.f64 (/.f64 #s(literal -5/18 binary64) t) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v) |
(/.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) t) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64)) (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) t)) (/.f64 #s(literal 5 binary64) t)) (-.f64 (/.f64 (/.f64 #s(literal -5/18 binary64) t) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 2/9 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) t)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(literal -5/72 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) t)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) t)) (/.f64 #s(literal -5/2 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) t))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) t)) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) t))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) t)) (/.f64 #s(literal 5 binary64) t)) (/.f64 (/.f64 #s(literal -25/1296 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) t)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (/.f64 #s(literal 2/9 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) t)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 2/9 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) t)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 5/18 binary64) (*.f64 (*.f64 v v) t)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))))) v) |
(* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))) |
(*.f64 (*.f64 v (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))) |
(*.f64 (*.f64 t (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)))) v) |
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64) (*.f64 t (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) v))))) v) |
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) t)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64) (*.f64 t (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)))))) v) |
(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(*.f64 (/.f64 #s(literal -5 binary64) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) t) (PI.f64))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (+.f64 (/.f64 #s(literal 5 binary64) t) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) t))) (/.f64 (/.f64 #s(literal -5/18 binary64) t) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (neg.f64 v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) t) (*.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64)) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) t)) (/.f64 #s(literal 5 binary64) t)) (-.f64 (/.f64 (/.f64 #s(literal -5/18 binary64) t) (*.f64 (*.f64 (PI.f64) (*.f64 v v)) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 2/9 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) t)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))))) #s(literal -1 binary64) (/.f64 #s(literal 5/72 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) t) (PI.f64)) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) v) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) t)) (/.f64 #s(literal -5/2 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) t))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) t)) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) t))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) t)) (/.f64 #s(literal 5 binary64) t)) (/.f64 (/.f64 #s(literal -25/1296 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) t)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (/.f64 #s(literal 2/9 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) t)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 2/9 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) t)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 5/18 binary64) (*.f64 (*.f64 v v) t)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))))) (neg.f64 v)) |
(* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))) |
(*.f64 (*.f64 (neg.f64 v) t) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))) |
(*.f64 (neg.f64 v) (*.f64 t (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) v))))) |
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))) |
(*.f64 (neg.f64 v) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64) (*.f64 t (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)))))) |
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))) |
(*.f64 (neg.f64 v) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) t)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64) (*.f64 t (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) v))))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) |
(* t (PI)) |
(*.f64 (PI.f64) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 73 |
| 0 | 32 | 73 |
| 1 | 128 | 73 |
| 2 | 936 | 67 |
| 0 | 8791 | 61 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) |
(*.f64 (PI.f64) t) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (pow.f64 (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64))))) (pow.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) (*.f64 #s(literal -6 binary64) (*.f64 v v))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)))) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))))) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)))))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64))))) (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64)))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal 3 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 6 binary64))))))) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) v)) v #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 v #s(literal 3 binary64))) (neg.f64 v) #s(literal 2 binary64)) |
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 v) v)) #s(literal 3 binary64) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 v v)) #s(literal -3 binary64) #s(literal 2 binary64)) |
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64)) #s(literal 2 binary64)) |
(fma.f64 #s(literal 6 binary64) (*.f64 (neg.f64 v) v) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64) #s(literal 2 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64)) |
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(+.f64 (*.f64 #s(literal -6 binary64) (*.f64 v v)) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 v v)) #s(literal 2 binary64))) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -6 binary64) (*.f64 v v))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)))) (pow.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) |
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(*.f64 (*.f64 (*.f64 t (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 (*.f64 t (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (*.f64 t (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (*.f64 (*.f64 t (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (PI.f64))) |
(*.f64 (*.f64 #s(literal 1 binary64) t) (PI.f64)) |
(*.f64 (*.f64 t (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(*.f64 (*.f64 t (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) t)) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) t)) |
(*.f64 (*.f64 t (PI.f64)) #s(literal 1 binary64)) |
(*.f64 t (PI.f64)) |
(*.f64 (PI.f64) t) |
(*.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) |
(*.f64 (neg.f64 (*.f64 #s(literal -5 binary64) v)) v) |
(*.f64 (neg.f64 (*.f64 (neg.f64 v) v)) #s(literal 5 binary64)) |
(*.f64 (*.f64 #s(literal -5 binary64) v) (neg.f64 v)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(*.f64 (*.f64 #s(literal 5 binary64) v) (neg.f64 (neg.f64 v))) |
(*.f64 (*.f64 #s(literal 5 binary64) v) v) |
(*.f64 #s(literal -5 binary64) (*.f64 (neg.f64 v) v)) |
(*.f64 (*.f64 (neg.f64 v) v) #s(literal -5 binary64)) |
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal 1 binary64)) |
(*.f64 #s(literal 5 binary64) (neg.f64 (*.f64 (neg.f64 v) v))) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(*.f64 (*.f64 v v) #s(literal 5 binary64)) |
(*.f64 v (*.f64 #s(literal 5 binary64) v)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
(neg.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) |
Compiled 23 340 to 2 152 computations (90.8% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 530 | 12 | 542 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 531 | 12 | 543 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) | |
| 99.3% | (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64)))) | |
| ▶ | 99.4% | (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
| 99.0% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) | |
| 99.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) | |
| ▶ | 99.4% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ▶ | 98.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 98.6% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) | |
| 99.3% | (/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 t (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) | |
| ▶ | 99.6% | (/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
| 99.4% | (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) | |
| ▶ | 98.6% | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
Compiled 662 to 458 computations (30.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 v v) | |
| cost-diff | 0 | (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) | |
| cost-diff | 0 | (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.f64 v v) | |
| cost-diff | 0 | (*.f64 #s(literal 5 binary64) (*.f64 v v)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) | |
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) | |
| cost-diff | 0 | (*.f64 v v) | |
| cost-diff | 0 | (*.f64 #s(literal 5 binary64) (*.f64 v v)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) | |
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) | |
| cost-diff | 0 | (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) | |
| cost-diff | 2 | (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 467 |
| 0 | 87 | 458 |
| 1 | 186 | 458 |
| 2 | 594 | 440 |
| 3 | 2881 | 440 |
| 4 | 6471 | 440 |
| 0 | 8901 | 440 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(literal -5 binary64) |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
(PI.f64) |
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
t |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) |
#s(literal -6 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(PI.f64) |
t |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
#s(literal 5 binary64) |
(*.f64 v v) |
v |
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) |
(*.f64 (PI.f64) t) |
(PI.f64) |
t |
(sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) |
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
#s(literal 5 binary64) |
(*.f64 v v) |
v |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) |
#s(literal -6 binary64) |
#s(literal 2 binary64) |
t |
(PI.f64) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(literal -5 binary64) |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
(*.f64 t (PI.f64)) |
t |
(PI.f64) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) |
#s(literal -6 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (PI.f64)) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) |
#s(literal -5 binary64) |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
(PI.f64) |
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) |
t |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) |
#s(literal -6 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(PI.f64) |
t |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
#s(literal 5 binary64) |
(*.f64 v v) |
v |
(*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (*.f64 t (PI.f64))) |
(*.f64 (PI.f64) t) |
(*.f64 t (PI.f64)) |
(PI.f64) |
t |
(sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) |
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
#s(literal 5 binary64) |
(*.f64 v v) |
v |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) |
#s(literal -6 binary64) |
#s(literal 2 binary64) |
t |
(PI.f64) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) |
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) (PI.f64)) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) |
#s(literal -5 binary64) |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
(*.f64 t (PI.f64)) |
t |
(PI.f64) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) |
#s(literal -6 binary64) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01953125 | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) | |
| accuracy | 0.2421875 | (*.f64 t (PI.f64)) | |
| accuracy | 0.2578125 | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) | |
| accuracy | 0.4287300293053261 | (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) | |
| accuracy | 0.158535009768442 | (*.f64 #s(literal 5 binary64) (*.f64 v v)) | |
| accuracy | 0.25390625 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) | |
| accuracy | 0.3359375 | (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) | |
| accuracy | 0.484375 | (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) | |
| accuracy | 0.2421875 | (*.f64 (PI.f64) t) | |
| accuracy | 0.25390625 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) | |
| accuracy | 0.45998002930532605 | (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) | |
| accuracy | 0.6238177210018161 | #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (PI.f64) | |
| accuracy | 0.21484375 | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) | |
| accuracy | 0.2578125 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) | |
| accuracy | 0.5982877179619666 | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) | |
| accuracy | 0.0078125 | (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) | |
| accuracy | 0.0078125 | (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) | |
| accuracy | 0.44369125976844204 | (/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) | |
| accuracy | 0.48828125 | (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
| 84.0ms | 256× | 0 | valid |
Compiled 471 to 45 computations (90.4% saved)
ival-mult: 36.0ms (61.3% of total)ival-div: 10.0ms (17% of total)ival-sqrt: 6.0ms (10.2% of total)ival-sub: 4.0ms (6.8% of total)ival-add: 2.0ms (3.4% of total)ival-pi: 1.0ms (1.7% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(*.f64 v v) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) |
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(PI.f64) |
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) |
(*.f64 (PI.f64) t) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
| Outputs |
|---|
(/ 1 (PI)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (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)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(* 5 (pow v 2)) |
(pow v 2) |
(/ 1 (* t (PI))) |
(+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI)))) |
(* t (sqrt 2)) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* -1 (* t (sqrt 2)))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (* 3 (/ t (sqrt 2))))))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (+ (* 3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ t (pow (sqrt 2) 5))) (* 9/2 (/ t (pow (sqrt 2) 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)))))) |
t |
(+ t (* -1 (* t (pow v 2)))) |
2 |
(+ 2 (* -6 (pow v 2))) |
(* t (* (PI) (sqrt 2))) |
(+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2)))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2))))))))) |
(+ (* -3 (/ (* t (pow v 2)) (sqrt 2))) (* t (sqrt 2))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* t (pow v 2)) (pow (sqrt 2) 3))) (* -3 (/ t (sqrt 2)))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (pow (sqrt 2) 5))) (* -9/2 (/ t (pow (sqrt 2) 3)))))))) |
(+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2)))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2)))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))))) |
(+ (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)))))) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* 5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v) |
(* -5 (/ (pow v 2) (* t (PI)))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI)))))) |
(* -1 (* t (* (pow v 3) (sqrt -6)))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2))))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 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 (* t (pow v 2))) |
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2)))) |
(* -6 (pow v 2)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))) |
(* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))) |
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))) |
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))) |
(* t (* v (sqrt -6))) |
(* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))) |
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))) |
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))) |
(* t (* v (* (PI) (sqrt -6)))) |
(* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))) |
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))) |
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))) |
(* -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))))) |
(* -5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)) |
(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)) |
(* t (* (pow v 3) (sqrt -6))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))))) |
(* -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))))))) |
(* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))) |
(* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))) |
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))) |
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))) |
(* -1 (* t (* v (sqrt -6)))) |
(* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))) |
(* -1 (* t (* v (* (PI) (sqrt -6))))) |
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))) |
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (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 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (- 1 (pow v 2))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* t (PI)) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | v | @ | 0 | ((* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* (sqrt 2) (PI)) t)) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (- 1 (* 5 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* 5 (* v v)) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (sqrt (+ (* -6 (* v v)) 2)) (* t (- 1 (* v v))) (PI) (* 2 (- 1 (* 3 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) t) (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (* t (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) |
| 8.0ms | t | @ | -inf | ((* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* (sqrt 2) (PI)) t)) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (- 1 (* 5 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* 5 (* v v)) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (sqrt (+ (* -6 (* v v)) 2)) (* t (- 1 (* v v))) (PI) (* 2 (- 1 (* 3 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) t) (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (* t (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) |
| 8.0ms | v | @ | inf | ((* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* (sqrt 2) (PI)) t)) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (- 1 (* 5 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* 5 (* v v)) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (sqrt (+ (* -6 (* v v)) 2)) (* t (- 1 (* v v))) (PI) (* 2 (- 1 (* 3 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) t) (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (* t (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) |
| 8.0ms | t | @ | 0 | ((* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* (sqrt 2) (PI)) t)) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (- 1 (* 5 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* 5 (* v v)) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (sqrt (+ (* -6 (* v v)) 2)) (* t (- 1 (* v v))) (PI) (* 2 (- 1 (* 3 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) t) (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (* t (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) |
| 6.0ms | t | @ | inf | ((* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* (sqrt 2) (PI)) t)) (* (* (sqrt 2) (PI)) t) (* (sqrt 2) (PI)) (- 1 (* 5 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* 5 (* v v)) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (- 1 (* v v)))) (/ (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (* t (PI))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (sqrt (+ (* -6 (* v v)) 2)) (* t (- 1 (* v v))) (PI) (* 2 (- 1 (* 3 (* v v)))) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (* (PI) t) (* (sqrt (+ (* -6 (* v v)) 2)) t) (* (* (sqrt (+ (* -6 (* v v)) 2)) t) (PI)) (* t (PI)) (* (- 1 (* v v)) (sqrt (+ (* -6 (* v v)) 2)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 573 | 4012 |
| 1 | 1788 | 3673 |
| 2 | 7378 | 3672 |
| 0 | 8165 | 3522 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (PI)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(/ (sqrt 1/2) (* t (PI))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (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)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(* 5 (pow v 2)) |
(pow v 2) |
(/ 1 (* t (PI))) |
(+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI)))) |
(* t (sqrt 2)) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* -1 (* t (sqrt 2)))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (* 3 (/ t (sqrt 2))))))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (+ (* 3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ t (pow (sqrt 2) 5))) (* 9/2 (/ t (pow (sqrt 2) 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)))))) |
t |
(+ t (* -1 (* t (pow v 2)))) |
2 |
(+ 2 (* -6 (pow v 2))) |
(* t (* (PI) (sqrt 2))) |
(+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2)))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2))))))))) |
(+ (* -3 (/ (* t (pow v 2)) (sqrt 2))) (* t (sqrt 2))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* t (pow v 2)) (pow (sqrt 2) 3))) (* -3 (/ t (sqrt 2)))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (pow (sqrt 2) 5))) (* -9/2 (/ t (pow (sqrt 2) 3)))))))) |
(+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2)))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2)))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))))) |
(+ (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)))))) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* 5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v) |
(* -5 (/ (pow v 2) (* t (PI)))) |
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI)))))) |
(* -1 (* t (* (pow v 3) (sqrt -6)))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2))))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 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 (* t (pow v 2))) |
(* (pow v 2) (+ (* -1 t) (/ t (pow v 2)))) |
(* -6 (pow v 2)) |
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6)) |
(* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))) |
(* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))) |
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))) |
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))) |
(* t (* v (sqrt -6))) |
(* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))) |
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))) |
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))) |
(* t (* v (* (PI) (sqrt -6)))) |
(* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))) |
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))) |
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))) |
(* -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))))) |
(* -5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)) |
(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)) |
(* t (* (pow v 3) (sqrt -6))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))))) |
(* -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))))))) |
(* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))) |
(* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))) |
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))) |
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))) |
(* -1 (* t (* v (sqrt -6)))) |
(* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))) |
(* -1 (* t (* v (* (PI) (sqrt -6))))) |
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))) |
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (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 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (- 1 (pow v 2))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* t (PI)) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
| Outputs |
|---|
(/ 1 (PI)) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 #s(literal 27/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (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)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (+.f64 (/.f64 #s(literal 135/32 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) (/.f64 #s(literal -27/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 27/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -5 (pow v 2))) |
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) |
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(fma.f64 (/.f64 #s(literal -5/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 (*.f64 v v) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -53/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 (*.f64 v v) t) (/.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -241/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) v) v (/.f64 #s(literal -53/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
(* 5 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal 5 binary64)) |
(pow v 2) |
(*.f64 v v) |
(/ 1 (* t (PI))) |
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t |
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(* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)) |
(/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) t) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) v) v)) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) t) (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 5 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) t) (/.f64 (/.f64 #s(literal -5/72 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) t)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (/.f64 #s(literal 2/9 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) t)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 5/18 binary64) (*.f64 (*.f64 v v) t)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))))) (neg.f64 v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)) |
(/.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal -25/1296 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) t)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal -5/72 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) t)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) t)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) v) v)) (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) t) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) t) (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) t) (*.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 5 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) t))))) (+.f64 (/.f64 (/.f64 #s(literal 2/9 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) t)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 2/9 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) t)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 5/18 binary64) (*.f64 (*.f64 v v) t)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))))) (neg.f64 v)) |
(* t (* (pow v 3) (sqrt -6))) |
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) t) (sqrt.f64 #s(literal -6 binary64))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))) |
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) (/.f64 t v)) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) t (/.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))) |
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (-.f64 (fma.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 t (pow.f64 v #s(literal 4 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) (/.f64 t v) (/.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))))) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) t (/.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))))) |
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (/.f64 (/.f64 t (pow.f64 v #s(literal 6 binary64))) #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 t (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 t (pow.f64 v #s(literal 4 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) (/.f64 t v) (/.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64)))))) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) t (/.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))))) |
(* -1 (* v (sqrt -6))) |
(*.f64 (neg.f64 v) (sqrt.f64 #s(literal -6 binary64))) |
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) v (/.f64 v (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v) v)))) |
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))) |
(*.f64 (neg.f64 v) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))))) |
(* -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 (neg.f64 v) (-.f64 (+.f64 (+.f64 (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))))) |
(* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))) |
(*.f64 (*.f64 (neg.f64 t) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))) |
(*.f64 (neg.f64 v) (fma.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal -3 binary64)) (PI.f64))) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)))) |
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))) |
(*.f64 (neg.f64 v) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 t (pow.f64 v #s(literal 4 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal -3 binary64)) (PI.f64))) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) v))))) |
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))) |
(*.f64 (neg.f64 v) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 t (pow.f64 v #s(literal 6 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 t (pow.f64 v #s(literal 4 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal -3 binary64)) (PI.f64))) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) v) v)))))) |
(* -1 (* t (* v (sqrt -6)))) |
(*.f64 (*.f64 (neg.f64 t) v) (sqrt.f64 #s(literal -6 binary64))) |
(* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))) |
(*.f64 (neg.f64 v) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) t (/.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))) |
(*.f64 (neg.f64 v) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 t (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) t (/.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))))) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))) |
(*.f64 (neg.f64 v) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 t (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 t (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) t (/.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))))) |
(* -1 (* t (* v (* (PI) (sqrt -6))))) |
(*.f64 (*.f64 (neg.f64 t) v) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64))) |
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))) |
(*.f64 (neg.f64 v) (*.f64 t (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (/.f64 (PI.f64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))) |
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))) |
(*.f64 (neg.f64 v) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 t (pow.f64 v #s(literal 4 binary64)))) (/.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (*.f64 t (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (/.f64 (PI.f64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))))) |
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))) |
(*.f64 (neg.f64 v) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 t (pow.f64 v #s(literal 6 binary64)))) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 t (pow.f64 v #s(literal 4 binary64)))) (/.f64 (PI.f64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (*.f64 t (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (/.f64 (PI.f64) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))))) |
(* (pow v 3) (sqrt -6)) |
(*.f64 (sqrt.f64 #s(literal -6 binary64)) (pow.f64 v #s(literal 3 binary64))) |
(* -1 (* (pow v 3) (- (+ (* -1 (sqrt -6)) (/ (sqrt -6) (pow v 2))) (/ 1 (* (pow v 2) (sqrt -6)))))) |
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (-.f64 (-.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) v) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) |
(* -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)))))) |
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (-.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) v) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) |
(* -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)))))) |
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (-.f64 (-.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) v) (/.f64 (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -6 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) (PI.f64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) (PI.f64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/ (+ 1 (* -5 (pow v 2))) (* t (PI))) |
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) (PI.f64)) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(* t (- 1 (pow v 2))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) |
(* t (PI)) |
(*.f64 (PI.f64) t) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (PI.f64) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 305 |
| 0 | 87 | 297 |
| 1 | 326 | 297 |
| 2 | 2462 | 295 |
| 0 | 8429 | 291 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(*.f64 v v) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) |
(*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
(*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(PI.f64) |
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) |
(*.f64 (PI.f64) t) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (PI.f64) (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) (pow.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))) |
(pow.f64 (/.f64 (/.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (PI.f64)) (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (PI.f64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (pow.f64 (PI.f64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 (PI.f64)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (PI.f64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (neg.f64 (PI.f64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (PI.f64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64)) (PI.f64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64)) (PI.f64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) (PI.f64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -2 binary64)) (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) |
(/.f64 (-.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) (*.f64 (neg.f64 (PI.f64)) (PI.f64))) |
(/.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (PI.f64) #s(literal 1 binary64)) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) (*.f64 (/.f64 (PI.f64) #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) (*.f64 (PI.f64) (PI.f64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (pow.f64 (PI.f64) #s(literal -1 binary64))) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64))) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))) (neg.f64 (PI.f64))) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (PI.f64) (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (PI.f64) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (PI.f64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64)) (PI.f64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64)) (PI.f64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) (PI.f64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (PI.f64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) (neg.f64 (PI.f64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (neg.f64 (PI.f64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (PI.f64) (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (PI.f64))) (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (neg.f64 (PI.f64)))) |
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(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 v v #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (neg.f64 v) v))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 v) v) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 v) v) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (neg.f64 v) v))) |
Compiled 54 232 to 4 666 computations (91.4% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 329 | 11 | 1 340 |
| Fresh | 5 | 2 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 337 | 15 | 1 352 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.3% | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
| 98.3% | (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 t (PI.f64))) | |
| 98.4% | (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) | |
| 98.5% | (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64))))) | |
| 98.4% | (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) | |
| ▶ | 99.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| ✓ | 99.4% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 98.6% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) | |
| ▶ | 99.5% | (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) |
| ▶ | 98.7% | (/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
| 98.6% | (/.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (* t (PI))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) | |
| ✓ | 98.6% | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
| 98.5% | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) | |
| ▶ | 98.4% | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
| 98.0% | #s(approx (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) |
Compiled 826 to 596 computations (27.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 v v) #s(literal -5 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) | |
| cost-diff | 1 | (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) | |
| cost-diff | 2 | (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 v v) | |
| cost-diff | 0 | (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) | |
| cost-diff | 1 | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) | |
| cost-diff | 2 | (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 t (PI.f64)) | |
| cost-diff | 0 | (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.f64 v v) | |
| cost-diff | 0 | (*.f64 #s(literal 5 binary64) (*.f64 v v)) | |
| cost-diff | 1 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) | |
| cost-diff | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 454 |
| 0 | 95 | 445 |
| 1 | 205 | 445 |
| 2 | 630 | 442 |
| 3 | 2893 | 441 |
| 4 | 7385 | 441 |
| 0 | 8176 | 435 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
#s(literal 5 binary64) |
(*.f64 v v) |
v |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) |
#s(literal -6 binary64) |
#s(literal 2 binary64) |
(PI.f64) |
t |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 t (PI.f64)) |
t |
(PI.f64) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(literal -5 binary64) |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
(PI.f64) |
#s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(literal -5 binary64) |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(PI.f64) |
t |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) |
#s(literal -6 binary64) |
#s(literal 2 binary64) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) |
(-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) |
#s(literal -1 binary64) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(*.f64 v v) |
v |
#s(literal -5 binary64) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) |
(neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) |
#s(literal -6 binary64) |
#s(literal 2 binary64) |
t |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
#s(literal 1 binary64) |
(PI.f64) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (PI.f64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(*.f64 (*.f64 v v) #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 v v) |
v |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) |
(*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) |
#s(literal -6 binary64) |
#s(literal 2 binary64) |
(PI.f64) |
t |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64)) t)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (PI.f64)) t) |
#s(literal 1 binary64) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) |
(*.f64 t (PI.f64)) |
t |
(PI.f64) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(literal -5 binary64) |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
(PI.f64) |
#s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (PI.f64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(literal -5 binary64) |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
(PI.f64) |
t |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) |
#s(literal -6 binary64) |
#s(literal 2 binary64) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) |
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (PI.f64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t) |
(-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) |
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(*.f64 #s(literal -5 binary64) (*.f64 v v)) |
(*.f64 v v) |
v |
#s(literal -5 binary64) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) t) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) |
(*.f64 (neg.f64 t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) |
(*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) |
#s(literal -6 binary64) |
#s(literal 2 binary64) |
t |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
#s(literal 1 binary64) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.158535009768442 | (*.f64 (*.f64 v v) #s(literal -5 binary64)) | |
| accuracy | 0.25390625 | (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) | |
| accuracy | 0.33203125 | (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) | |
| accuracy | 0.484375 | (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) | |
| accuracy | 0.2421875 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) | |
| accuracy | 0.25390625 | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) | |
| accuracy | 0.46779252930532605 | (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) | |
| accuracy | 0.0078125 | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) | |
| accuracy | 0.44369125976844204 | (/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) | |
| accuracy | 0.4921875 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) | |
| accuracy | 0.5901338759827142 | #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) | |
| accuracy | 0.2421875 | (*.f64 t (PI.f64)) | |
| accuracy | 0.2578125 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 0.46779252930532605 | (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 0.5982877179619666 | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) | |
| accuracy | 0.015625 | (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))) | |
| accuracy | 0.158535009768442 | (*.f64 #s(literal 5 binary64) (*.f64 v v)) | |
| accuracy | 0.21875 | (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) | |
| accuracy | 0.25390625 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 182.0ms | 256× | 0 | valid |
Compiled 461 to 53 computations (88.5% saved)
ival-mult: 33.0ms (53% of total)ival-div: 10.0ms (16.1% of total)ival-add: 5.0ms (8% of total)ival-sub: 5.0ms (8% of total)ival-sqrt: 5.0ms (8% of total)ival-neg: 3.0ms (4.8% of total)ival-pi: 1.0ms (1.6% of total)exact: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(*.f64 v v) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 t (PI.f64)) |
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) |
(-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
#s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) |
| Outputs |
|---|
(/ (sqrt 1/2) (* t (PI))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (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)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(* 5 (pow v 2)) |
(pow v 2) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(/ 1 (PI)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(* t (* (PI) (sqrt 2))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2))))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))))))))) |
(* -1 (* t (* (PI) (sqrt 2)))) |
(+ (* -1 (* t (* (PI) (sqrt 2)))) (* -1 (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))))) |
(+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))) (* -1 (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2))))))))) |
(+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -1 (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))) (* -1 (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))))))) |
-1 |
(- (* 5 (pow v 2)) 1) |
(* -5 (pow v 2)) |
(+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2)))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2)))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))))) |
(* t (sqrt 2)) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* -1 (* t (sqrt 2)))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (* 3 (/ t (sqrt 2))))))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (+ (* 3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ t (pow (sqrt 2) 5))) (* 9/2 (/ t (pow (sqrt 2) 3)))))))))))) |
(* t (PI)) |
(+ (* -1 (* t (* (pow v 2) (PI)))) (* t (PI))) |
(PI) |
(+ (PI) (* -1 (* (pow v 2) (PI)))) |
(+ (* -3 (/ (* t (pow v 2)) (sqrt 2))) (* t (sqrt 2))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* t (pow v 2)) (pow (sqrt 2) 3))) (* -3 (/ t (sqrt 2)))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (pow (sqrt 2) 5))) (* -9/2 (/ t (pow (sqrt 2) 3)))))))) |
(* 5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* -1 (* t (* (pow v 3) (* (PI) (sqrt -6))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))) |
(* t (* (pow v 3) (* (PI) (sqrt -6)))) |
(* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (* t (* (PI) (sqrt -6))))) |
(* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6)))))) |
(* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6))))))) |
(* (pow v 2) (- 5 (/ 1 (pow v 2)))) |
(/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (* 5 (/ (sqrt -1/6) (* t (PI))))) v) |
(/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (* 5 (/ (sqrt -1/6) (* t (PI)))))) v) |
(/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) v) |
(* t (* v (* (PI) (sqrt -6)))) |
(* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))) |
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))) |
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))) |
(* -1 (* t (* (pow v 3) (sqrt -6)))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2))))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))) |
(* -1 (* t (* (pow v 2) (PI)))) |
(* (pow v 2) (+ (* -1 (* t (PI))) (/ (* t (PI)) (pow v 2)))) |
(* -1 (* (pow v 2) (PI))) |
(* (pow v 2) (+ (* -1 (PI)) (/ (PI) (pow v 2)))) |
(* t (* v (sqrt -6))) |
(* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))) |
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))) |
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))) |
(* -5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)) |
(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))) |
(* -1 (* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (* t (* (PI) (sqrt -6)))))) |
(* -1 (* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6))))))) |
(* -1 (* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6)))))))) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (* 5 (/ (sqrt -1/6) (* t (PI))))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (* 5 (/ (sqrt -1/6) (* t (PI)))))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) v)) |
(* -1 (* t (* v (* (PI) (sqrt -6))))) |
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))) |
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))) |
(* t (* (pow v 3) (sqrt -6))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))))) |
(* -1 (* t (* v (sqrt -6)))) |
(* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (* (PI) (- 1 (pow v 2)))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | v | @ | inf | ((/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))) (- 1 (* 5 (* v v))) (* 5 (* v v)) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* t (PI)) (sqrt 2))) (* (* t (PI)) (sqrt 2)) (* t (PI)) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (/ (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (neg (* (sqrt (+ (* -6 (* v v)) 2)) t)) (* (- 1 (* v v)) (PI))) (- -1 (* (* v v) -5)) (/ (- -1 (* (* v v) -5)) (* (neg (* (sqrt (+ (* -6 (* v v)) 2)) t)) (* (- 1 (* v v)) (PI)))) (* (* v v) -5) (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (sqrt 2) t) (* (* (- 1 (* v v)) (PI)) t) (* (- 1 (* v v)) (PI)) (* (sqrt (+ (* -6 (* v v)) 2)) t)) |
| 7.0ms | t | @ | -inf | ((/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))) (- 1 (* 5 (* v v))) (* 5 (* v v)) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* t (PI)) (sqrt 2))) (* (* t (PI)) (sqrt 2)) (* t (PI)) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (/ (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (neg (* (sqrt (+ (* -6 (* v v)) 2)) t)) (* (- 1 (* v v)) (PI))) (- -1 (* (* v v) -5)) (/ (- -1 (* (* v v) -5)) (* (neg (* (sqrt (+ (* -6 (* v v)) 2)) t)) (* (- 1 (* v v)) (PI)))) (* (* v v) -5) (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (sqrt 2) t) (* (* (- 1 (* v v)) (PI)) t) (* (- 1 (* v v)) (PI)) (* (sqrt (+ (* -6 (* v v)) 2)) t)) |
| 6.0ms | t | @ | inf | ((/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))) (- 1 (* 5 (* v v))) (* 5 (* v v)) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* t (PI)) (sqrt 2))) (* (* t (PI)) (sqrt 2)) (* t (PI)) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (/ (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (neg (* (sqrt (+ (* -6 (* v v)) 2)) t)) (* (- 1 (* v v)) (PI))) (- -1 (* (* v v) -5)) (/ (- -1 (* (* v v) -5)) (* (neg (* (sqrt (+ (* -6 (* v v)) 2)) t)) (* (- 1 (* v v)) (PI)))) (* (* v v) -5) (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (sqrt 2) t) (* (* (- 1 (* v v)) (PI)) t) (* (- 1 (* v v)) (PI)) (* (sqrt (+ (* -6 (* v v)) 2)) t)) |
| 6.0ms | t | @ | 0 | ((/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))) (- 1 (* 5 (* v v))) (* 5 (* v v)) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* t (PI)) (sqrt 2))) (* (* t (PI)) (sqrt 2)) (* t (PI)) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (/ (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (neg (* (sqrt (+ (* -6 (* v v)) 2)) t)) (* (- 1 (* v v)) (PI))) (- -1 (* (* v v) -5)) (/ (- -1 (* (* v v) -5)) (* (neg (* (sqrt (+ (* -6 (* v v)) 2)) t)) (* (- 1 (* v v)) (PI)))) (* (* v v) -5) (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (sqrt 2) t) (* (* (- 1 (* v v)) (PI)) t) (* (- 1 (* v v)) (PI)) (* (sqrt (+ (* -6 (* v v)) 2)) t)) |
| 3.0ms | v | @ | -inf | ((/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))) (- 1 (* 5 (* v v))) (* 5 (* v v)) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* t (PI)) (sqrt 2))) (* (* t (PI)) (sqrt 2)) (* t (PI)) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (+ (* -5 (* v v)) 1) (/ (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (neg (* (sqrt (+ (* -6 (* v v)) 2)) t)) (* (- 1 (* v v)) (PI))) (- -1 (* (* v v) -5)) (/ (- -1 (* (* v v) -5)) (* (neg (* (sqrt (+ (* -6 (* v v)) 2)) t)) (* (- 1 (* v v)) (PI)))) (* (* v v) -5) (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (sqrt 2) t) (* (* (- 1 (* v v)) (PI)) t) (* (- 1 (* v v)) (PI)) (* (sqrt (+ (* -6 (* v v)) 2)) t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 564 | 4572 |
| 1 | 1828 | 4076 |
| 2 | 7941 | 4066 |
| 0 | 8089 | 3910 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sqrt 1/2) (* t (PI))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (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)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(* 5 (pow v 2)) |
(pow v 2) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(/ 1 (PI)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(* t (* (PI) (sqrt 2))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2))))))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))))))))) |
(* -1 (* t (* (PI) (sqrt 2)))) |
(+ (* -1 (* t (* (PI) (sqrt 2)))) (* -1 (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))))) |
(+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))) (* -1 (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2))))))))) |
(+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -1 (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))) (* -1 (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))))))) |
-1 |
(- (* 5 (pow v 2)) 1) |
(* -5 (pow v 2)) |
(+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2)))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2)))))) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))))) |
(* t (sqrt 2)) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* -1 (* t (sqrt 2)))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (* 3 (/ t (sqrt 2))))))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (+ (* 3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ t (pow (sqrt 2) 5))) (* 9/2 (/ t (pow (sqrt 2) 3)))))))))))) |
(* t (PI)) |
(+ (* -1 (* t (* (pow v 2) (PI)))) (* t (PI))) |
(PI) |
(+ (PI) (* -1 (* (pow v 2) (PI)))) |
(+ (* -3 (/ (* t (pow v 2)) (sqrt 2))) (* t (sqrt 2))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* t (pow v 2)) (pow (sqrt 2) 3))) (* -3 (/ t (sqrt 2)))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (pow (sqrt 2) 5))) (* -9/2 (/ t (pow (sqrt 2) 3)))))))) |
(* 5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* -1 (* t (* (pow v 3) (* (PI) (sqrt -6))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))) |
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))) |
(* t (* (pow v 3) (* (PI) (sqrt -6)))) |
(* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (* t (* (PI) (sqrt -6))))) |
(* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6)))))) |
(* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6))))))) |
(* (pow v 2) (- 5 (/ 1 (pow v 2)))) |
(/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (* 5 (/ (sqrt -1/6) (* t (PI))))) v) |
(/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (* 5 (/ (sqrt -1/6) (* t (PI)))))) v) |
(/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) v) |
(* t (* v (* (PI) (sqrt -6)))) |
(* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))) |
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))) |
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))) |
(* -1 (* t (* (pow v 3) (sqrt -6)))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2))))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))) |
(* -1 (* t (* (pow v 2) (PI)))) |
(* (pow v 2) (+ (* -1 (* t (PI))) (/ (* t (PI)) (pow v 2)))) |
(* -1 (* (pow v 2) (PI))) |
(* (pow v 2) (+ (* -1 (PI)) (/ (PI) (pow v 2)))) |
(* t (* v (sqrt -6))) |
(* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))) |
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))) |
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))) |
(* -5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)) |
(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))) |
(* -1 (* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (* t (* (PI) (sqrt -6)))))) |
(* -1 (* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6))))))) |
(* -1 (* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6)))))))) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (* 5 (/ (sqrt -1/6) (* t (PI))))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (* 5 (/ (sqrt -1/6) (* t (PI)))))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) v)) |
(* -1 (* t (* v (* (PI) (sqrt -6))))) |
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))) |
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))) |
(* t (* (pow v 3) (sqrt -6))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))))) |
(* -1 (* t (* v (sqrt -6)))) |
(* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (* (PI) (- 1 (pow v 2)))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
| Outputs |
|---|
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
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#s(literal -1 binary64) |
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(* t (PI)) |
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(* -1 (* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6))))))) |
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(* -1 (* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6)))))))) |
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (-.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) t) (PI.f64) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t (+.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))) (/.f64 (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) t (*.f64 #s(literal -1/12 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) t))) (pow.f64 v #s(literal 4 binary64))))) (/.f64 (fma.f64 (neg.f64 t) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) t)) (*.f64 v v)))) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (* 5 (/ (sqrt -1/6) (* t (PI))))) v)) |
(/.f64 (fma.f64 (/.f64 #s(literal 5 binary64) t) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (/.f64 #s(literal 5/36 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t))) (*.f64 (neg.f64 v) v))) (neg.f64 v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (* 5 (/ (sqrt -1/6) (* t (PI)))))) v)) |
(/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t) #s(literal 5 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (+.f64 (/.f64 #s(literal 5/144 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t)) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t)))) (neg.f64 (pow.f64 v #s(literal 4 binary64))))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (/.f64 #s(literal 5/36 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t))) (*.f64 v v))) (neg.f64 v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) v)) |
(/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t) #s(literal 5 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (+.f64 (+.f64 (/.f64 #s(literal 25/2592 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t)) (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t))) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t)))) (neg.f64 (pow.f64 v #s(literal 6 binary64))))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (+.f64 (/.f64 #s(literal 5/144 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t)) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t)))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (/.f64 #s(literal 5/36 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t))) (*.f64 v v))) (neg.f64 v)) |
(* -1 (* t (* v (* (PI) (sqrt -6))))) |
(*.f64 (*.f64 (neg.f64 t) v) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64))) |
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))) |
(*.f64 (neg.f64 v) (*.f64 t (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))))) |
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))) |
(*.f64 (neg.f64 v) (fma.f64 t (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) t)) (pow.f64 v #s(literal 4 binary64))))) |
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))) |
(*.f64 (neg.f64 v) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 t (pow.f64 v #s(literal 6 binary64)))) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (fma.f64 t (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) t)) (pow.f64 v #s(literal 4 binary64)))))) |
(* t (* (pow v 3) (sqrt -6))) |
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) t) (sqrt.f64 #s(literal -6 binary64))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))) |
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) (/.f64 t v) (neg.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) t (/.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))) |
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -6 binary64))) t (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 t (pow.f64 v #s(literal 4 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) (/.f64 t v) (/.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))))) (/.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))))) |
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -6 binary64))) t (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (/.f64 (/.f64 t (pow.f64 v #s(literal 6 binary64))) #s(literal -6 binary64)) (sqrt.f64 #s(literal -6 binary64))) (/.f64 (/.f64 t (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (pow.f64 v #s(literal 6 binary64)))) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 t (pow.f64 v #s(literal 4 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) (/.f64 t v) (/.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) (pow.f64 v #s(literal 4 binary64))))) (/.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))))) |
(* -1 (* t (* v (sqrt -6)))) |
(*.f64 (*.f64 (neg.f64 t) v) (sqrt.f64 #s(literal -6 binary64))) |
(* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))) |
(*.f64 (neg.f64 v) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) t (/.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))) |
(*.f64 (neg.f64 v) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 t (pow.f64 v #s(literal 4 binary64))) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) t (/.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v))))) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))) |
(*.f64 (neg.f64 v) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 t (pow.f64 v #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 t (pow.f64 v #s(literal 4 binary64))) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) t (/.f64 (/.f64 t (sqrt.f64 #s(literal -6 binary64))) (*.f64 v v)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) t)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) t)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t)) |
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))) |
(*.f64 (*.f64 (neg.f64 t) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (PI.f64) t)) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) |
(* t (* (PI) (- 1 (pow v 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 323 |
| 0 | 95 | 314 |
| 1 | 348 | 314 |
| 2 | 2512 | 312 |
| 0 | 8888 | 310 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(*.f64 v v) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 t (PI.f64)) |
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) |
(-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
#s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (neg.f64 t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64))))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -5 binary64) (*.f64 v v))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
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(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(fma.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(fma.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(fma.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(fma.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(fma.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(fma.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(fma.f64 (PI.f64) (log.f64 (E.f64)) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(fma.f64 (PI.f64) (log.f64 (E.f64)) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(fma.f64 (PI.f64) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(fma.f64 (PI.f64) #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(fma.f64 #s(literal 1 binary64) (PI.f64) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(fma.f64 #s(literal 1 binary64) (PI.f64) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(+.f64 (PI.f64) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(+.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) |
Compiled 45 978 to 3 837 computations (91.7% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 110 | 8 | 1 118 |
| Fresh | 4 | 4 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 118 | 15 | 1 133 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) | |
| ✓ | 99.3% | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
| 98.5% | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) | |
| 98.6% | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) | |
| ▶ | 99.8% | (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
| 98.5% | (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64))))) | |
| ▶ | 98.7% | (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
| 98.4% | (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) | |
| ▶ | 98.6% | (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) |
| 98.6% | (/.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (* t (PI))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) | |
| ▶ | 98.7% | (/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
| 98.0% | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) | |
| ✓ | 98.6% | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
| ▶ | 98.5% | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) |
| ✓ | 98.4% | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
Compiled 816 to 602 computations (26.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 v v) | |
| cost-diff | 0 | (*.f64 (*.f64 v v) #s(literal -5 binary64)) | |
| cost-diff | 1 | (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) | |
| cost-diff | 1 | (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) | |
| cost-diff | 0 | (*.f64 v v) | |
| cost-diff | 0 | (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) | |
| cost-diff | 0 | (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (PI.f64)) | |
| cost-diff | 0 | #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) | |
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))) | |
| cost-diff | 0 | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) | |
| cost-diff | 0 | (*.f64 v v) | |
| cost-diff | 0 | (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 422 |
| 0 | 92 | 417 |
| 1 | 182 | 417 |
| 2 | 502 | 414 |
| 3 | 3153 | 412 |
| 0 | 8051 | 411 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(literal -5 binary64) |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
(*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(PI.f64) |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) |
#s(literal -6 binary64) |
#s(literal 2 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
t |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
(PI.f64) |
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
#s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(PI.f64) |
#s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
#s(literal -5 binary64) |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
(PI.f64) |
#s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) |
(-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) |
#s(literal -1 binary64) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(*.f64 v v) |
v |
#s(literal -5 binary64) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) |
(neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) |
#s(literal -6 binary64) |
#s(literal 2 binary64) |
t |
#s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) |
(PI.f64) |
| Outputs |
|---|
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) |
#s(literal -5 binary64) |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
(*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) |
(PI.f64) |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) |
#s(literal -6 binary64) |
#s(literal 2 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) |
(-.f64 #s(literal 1 binary64) (*.f64 v v)) |
t |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
(PI.f64) |
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
#s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
#s(literal 1 binary64) |
(PI.f64) |
#s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (PI.f64)) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) |
#s(literal -5 binary64) |
(*.f64 v v) |
v |
#s(literal 1 binary64) |
(PI.f64) |
#s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) t)) |
(-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) |
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(*.f64 v v) |
v |
#s(literal -5 binary64) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) |
(*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (*.f64 (neg.f64 t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) |
(*.f64 (neg.f64 t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) |
(*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) |
#s(literal -6 binary64) |
#s(literal 2 binary64) |
t |
#s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) |
(PI.f64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.25390625 | (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) | |
| accuracy | 0.33203125 | (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) | |
| accuracy | 0.484375 | (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) | |
| accuracy | 0.5494001822017994 | #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) | |
| accuracy | 0.0078125 | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) | |
| accuracy | 0.44369125976844204 | (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) | |
| accuracy | 0.4921875 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) | |
| accuracy | 0.5901338759827142 | #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) | |
| accuracy | 0.44369125976844204 | (/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) | |
| accuracy | 0.4921875 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) | |
| accuracy | 0.5901338759827142 | #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) | |
| accuracy | 0.6269727569528858 | #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) | |
| accuracy | 0.2578125 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))) | |
| accuracy | 0.328125 | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)) | |
| accuracy | 0.4921875 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) | |
| accuracy | 0.5982877179619666 | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) | |
| accuracy | 0.0078125 | (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) | |
| accuracy | 0.01171875 | (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) | |
| accuracy | 0.01953125 | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) | |
| accuracy | 0.11328125 | (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
| 86.0ms | 256× | 0 | valid |
Compiled 404 to 51 computations (87.4% saved)
ival-mult: 30.0ms (52.2% of total)ival-div: 12.0ms (20.9% of total)ival-sub: 5.0ms (8.7% of total)ival-sqrt: 5.0ms (8.7% of total)ival-add: 2.0ms (3.5% of total)ival-pi: 1.0ms (1.7% of total)exact: 1.0ms (1.7% of total)ival-neg: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(*.f64 v v) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
#s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
(PI.f64) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) |
(-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
#s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
#s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) |
| Outputs |
|---|
(/ (sqrt 1/2) (* t (PI))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (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)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(/ (sqrt 1/2) (PI)) |
(+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (/ (sqrt 1/2) (PI))) |
(+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 15/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI))) |
(+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* (pow v 2) (+ (* -5/2 (/ (- 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))))))) (* 15/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(pow v 2) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(/ 1 (PI)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
-1 |
(- (* 5 (pow v 2)) 1) |
(* -5 (pow v 2)) |
(* (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)))))))) |
(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)))))) |
(* t (sqrt 2)) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* -1 (* t (sqrt 2)))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (* 3 (/ t (sqrt 2))))))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (+ (* 3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ t (pow (sqrt 2) 5))) (* 9/2 (/ t (pow (sqrt 2) 3)))))))))))) |
(PI) |
(+ (PI) (* -1 (* (pow v 2) (PI)))) |
(+ (* -3 (/ (* t (pow v 2)) (sqrt 2))) (* t (sqrt 2))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* t (pow v 2)) (pow (sqrt 2) 3))) (* -3 (/ t (sqrt 2)))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (pow (sqrt 2) 5))) (* -9/2 (/ t (pow (sqrt 2) 3)))))))) |
(* -1 (* t (* (PI) (sqrt 2)))) |
(+ (* -1 (* t (* (PI) (sqrt 2)))) (* -1 (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))))) |
(+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))) (* -1 (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2))))))))) |
(+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -1 (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))) (* -1 (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))))))) |
(* 5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v) |
(* -5 (/ (* v (sqrt -1/6)) (PI))) |
(* v (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))) |
(* v (- (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6))))))) |
(* v (- (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 5/2 (/ (+ 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))))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6))))))) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (* 5 (/ (sqrt -1/6) (* t (PI))))) v) |
(/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (* 5 (/ (sqrt -1/6) (* t (PI)))))) v) |
(/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) v) |
(* 5 (pow v 2)) |
(* (pow v 2) (- 5 (/ 1 (pow v 2)))) |
(* 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))))))) |
(* 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 (* t (* (pow v 3) (sqrt -6)))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2))))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))) |
(* -1 (* (pow v 2) (PI))) |
(* (pow v 2) (+ (* -1 (PI)) (/ (PI) (pow v 2)))) |
(* t (* v (sqrt -6))) |
(* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))) |
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))) |
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))) |
(* t (* (pow v 3) (* (PI) (sqrt -6)))) |
(* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (* t (* (PI) (sqrt -6))))) |
(* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6)))))) |
(* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6))))))) |
(* -5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)) |
(* 5 (/ (* v (sqrt -1/6)) (PI))) |
(* -1 (* v (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI))))))) |
(* -1 (* v (- (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))) |
(* -1 (* v (- (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 5/2 (/ (+ 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))))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))) |
(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (* 5 (/ (sqrt -1/6) (* t (PI))))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (* 5 (/ (sqrt -1/6) (* t (PI)))))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) v)) |
(* -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)))))))) |
(* -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))))))) |
(* t (* (pow v 3) (sqrt -6))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))))) |
(* -1 (* t (* v (sqrt -6)))) |
(* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))) |
(* -1 (* t (* (pow v 3) (* (PI) (sqrt -6))))) |
(* -1 (* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (* t (* (PI) (sqrt -6)))))) |
(* -1 (* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6))))))) |
(* -1 (* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6)))))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* t (* (PI) (sqrt 2))) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 42.0ms | t | @ | 0 | ((/ (/ (+ (* -5 (* v v)) 1) (* (PI) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) t)) (/ (+ (* -5 (* v v)) 1) (* (PI) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* -5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* (sqrt 2) t) (PI))) (* (* (sqrt 2) t) (PI)) (* (sqrt 2) t) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ 1 (PI)) (PI) (/ (/ (+ (* -5 (* v v)) 1) (PI)) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (/ (- -1 (* (* v v) -5)) (* (neg (* (sqrt (+ (* -6 (* v v)) 2)) t)) (* (- 1 (* v v)) (PI)))) (- -1 (* (* v v) -5)) (* (* v v) -5) (* (PI) (sqrt (+ (* -6 (* v v)) 2))) (sqrt (+ (* -6 (* v v)) 2)) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (- 1 (* v v)) (PI)) (* (sqrt (+ (* -6 (* v v)) 2)) t) (* (neg (* (sqrt (+ (* -6 (* v v)) 2)) t)) (* (- 1 (* v v)) (PI)))) |
| 5.0ms | t | @ | -inf | ((/ (/ (+ (* -5 (* v v)) 1) (* (PI) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) t)) (/ (+ (* -5 (* v v)) 1) (* (PI) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* -5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* (sqrt 2) t) (PI))) (* (* (sqrt 2) t) (PI)) (* (sqrt 2) t) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ 1 (PI)) (PI) (/ (/ (+ (* -5 (* v v)) 1) (PI)) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (/ (- -1 (* (* v v) -5)) (* (neg (* (sqrt (+ (* -6 (* v v)) 2)) t)) (* (- 1 (* v v)) (PI)))) (- -1 (* (* v v) -5)) (* (* v v) -5) (* (PI) (sqrt (+ (* -6 (* v v)) 2))) (sqrt (+ (* -6 (* v v)) 2)) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (- 1 (* v v)) (PI)) (* (sqrt (+ (* -6 (* v v)) 2)) t) (* (neg (* (sqrt (+ (* -6 (* v v)) 2)) t)) (* (- 1 (* v v)) (PI)))) |
| 5.0ms | t | @ | inf | ((/ (/ (+ (* -5 (* v v)) 1) (* (PI) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) t)) (/ (+ (* -5 (* v v)) 1) (* (PI) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* -5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* (sqrt 2) t) (PI))) (* (* (sqrt 2) t) (PI)) (* (sqrt 2) t) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ 1 (PI)) (PI) (/ (/ (+ (* -5 (* v v)) 1) (PI)) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (/ (- -1 (* (* v v) -5)) (* (neg (* (sqrt (+ (* -6 (* v v)) 2)) t)) (* (- 1 (* v v)) (PI)))) (- -1 (* (* v v) -5)) (* (* v v) -5) (* (PI) (sqrt (+ (* -6 (* v v)) 2))) (sqrt (+ (* -6 (* v v)) 2)) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (- 1 (* v v)) (PI)) (* (sqrt (+ (* -6 (* v v)) 2)) t) (* (neg (* (sqrt (+ (* -6 (* v v)) 2)) t)) (* (- 1 (* v v)) (PI)))) |
| 4.0ms | v | @ | inf | ((/ (/ (+ (* -5 (* v v)) 1) (* (PI) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) t)) (/ (+ (* -5 (* v v)) 1) (* (PI) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* -5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* (sqrt 2) t) (PI))) (* (* (sqrt 2) t) (PI)) (* (sqrt 2) t) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ 1 (PI)) (PI) (/ (/ (+ (* -5 (* v v)) 1) (PI)) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (/ (- -1 (* (* v v) -5)) (* (neg (* (sqrt (+ (* -6 (* v v)) 2)) t)) (* (- 1 (* v v)) (PI)))) (- -1 (* (* v v) -5)) (* (* v v) -5) (* (PI) (sqrt (+ (* -6 (* v v)) 2))) (sqrt (+ (* -6 (* v v)) 2)) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (- 1 (* v v)) (PI)) (* (sqrt (+ (* -6 (* v v)) 2)) t) (* (neg (* (sqrt (+ (* -6 (* v v)) 2)) t)) (* (- 1 (* v v)) (PI)))) |
| 3.0ms | v | @ | 0 | ((/ (/ (+ (* -5 (* v v)) 1) (* (PI) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) t)) (/ (+ (* -5 (* v v)) 1) (* (PI) (sqrt (+ (* -6 (* v v)) 2)))) (+ (* -5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/ 1 (* (* (sqrt 2) t) (PI))) (* (* (sqrt 2) t) (PI)) (* (sqrt 2) t) (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ 1 (PI)) (PI) (/ (/ (+ (* -5 (* v v)) 1) (PI)) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (PI)) (/ (- -1 (* (* v v) -5)) (* (neg (* (sqrt (+ (* -6 (* v v)) 2)) t)) (* (- 1 (* v v)) (PI)))) (- -1 (* (* v v) -5)) (* (* v v) -5) (* (PI) (sqrt (+ (* -6 (* v v)) 2))) (sqrt (+ (* -6 (* v v)) 2)) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (* (- 1 (* v v)) (PI)) (* (sqrt (+ (* -6 (* v v)) 2)) t) (* (neg (* (sqrt (+ (* -6 (* v v)) 2)) t)) (* (- 1 (* v v)) (PI)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 619 | 4688 |
| 1 | 1990 | 4122 |
| 0 | 8340 | 3971 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sqrt 1/2) (* t (PI))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (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)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(/ (sqrt 1/2) (PI)) |
(+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (/ (sqrt 1/2) (PI))) |
(+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 15/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI))) |
(+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* (pow v 2) (+ (* -5/2 (/ (- 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))))))) (* 15/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(pow v 2) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(/ 1 (PI)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
-1 |
(- (* 5 (pow v 2)) 1) |
(* -5 (pow v 2)) |
(* (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)))))))) |
(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)))))) |
(* t (sqrt 2)) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* -1 (* t (sqrt 2)))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (* 3 (/ t (sqrt 2))))))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (+ (* 3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ t (pow (sqrt 2) 5))) (* 9/2 (/ t (pow (sqrt 2) 3)))))))))))) |
(PI) |
(+ (PI) (* -1 (* (pow v 2) (PI)))) |
(+ (* -3 (/ (* t (pow v 2)) (sqrt 2))) (* t (sqrt 2))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* t (pow v 2)) (pow (sqrt 2) 3))) (* -3 (/ t (sqrt 2)))))) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (pow v 2)) (pow (sqrt 2) 5))) (* -9/2 (/ t (pow (sqrt 2) 3)))))))) |
(* -1 (* t (* (PI) (sqrt 2)))) |
(+ (* -1 (* t (* (PI) (sqrt 2)))) (* -1 (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))))) |
(+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))) (* -1 (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2))))))))) |
(+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -1 (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3)))))) (* -1 (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))))))) |
(* 5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v) |
(* -5 (/ (* v (sqrt -1/6)) (PI))) |
(* v (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))) |
(* v (- (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6))))))) |
(* v (- (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 5/2 (/ (+ 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))))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6))))))) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v) |
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v) |
(* -5 (/ (pow v 2) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (* 5 (/ (sqrt -1/6) (* t (PI))))) v) |
(/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (* 5 (/ (sqrt -1/6) (* t (PI)))))) v) |
(/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) v) |
(* 5 (pow v 2)) |
(* (pow v 2) (- 5 (/ 1 (pow v 2)))) |
(* 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))))))) |
(* 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 (* t (* (pow v 3) (sqrt -6)))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2))))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))) |
(* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2))))))))) |
(* -1 (* (pow v 2) (PI))) |
(* (pow v 2) (+ (* -1 (PI)) (/ (PI) (pow v 2)))) |
(* t (* v (sqrt -6))) |
(* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))) |
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))) |
(* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))) |
(* t (* (pow v 3) (* (PI) (sqrt -6)))) |
(* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (* t (* (PI) (sqrt -6))))) |
(* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6)))))) |
(* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6))))))) |
(* -5 (/ (sqrt -1/6) (* t (* v (PI))))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)) |
(* 5 (/ (* v (sqrt -1/6)) (PI))) |
(* -1 (* v (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI))))))) |
(* -1 (* v (- (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))) |
(* -1 (* v (- (+ (* -5 (/ (sqrt -1/6) (PI))) (+ (* -1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (* 5/2 (/ (+ 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))))) (+ (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (/ (sqrt -1/6) (* (pow v 2) (PI)))))))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))) |
(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)) |
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (* 5 (/ (sqrt -1/6) (* t (PI))))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (* 5 (/ (sqrt -1/6) (* t (PI)))))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (* 5/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -4 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/9 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) v)) |
(* -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)))))))) |
(* -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))))))) |
(* t (* (pow v 3) (sqrt -6))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (/ (* t (sqrt -6)) (pow v 2)))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (sqrt -6))) (+ (* -1 (/ t (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ t (* (pow v 4) (sqrt -6))) (/ (* t (sqrt -6)) (pow v 2)))))))))) |
(* -1 (* t (* v (sqrt -6)))) |
(* -1 (* v (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (+ (* -1/2 (/ t (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ t (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (sqrt -6)) (/ t (* (pow v 2) (sqrt -6)))))))) |
(* -1 (* t (* (pow v 3) (* (PI) (sqrt -6))))) |
(* -1 (* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (* t (* (PI) (sqrt -6)))))) |
(* -1 (* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6))))))) |
(* -1 (* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6)))))))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(* t (* (PI) (sqrt 2))) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))) |
| Outputs |
|---|
(/ (sqrt 1/2) (* t (PI))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64)) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 #s(literal 27/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))) |
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (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)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (+.f64 (/.f64 #s(literal 135/32 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) (/.f64 #s(literal -27/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 27/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)))) (*.f64 v v) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))) |
(/ (sqrt 1/2) (PI)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) |
(+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (PI))) (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))))) (/ (sqrt 1/2) (PI))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal -5 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) v) v (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
(+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* 15/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 27/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal 15/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal -5 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
(+ (* (pow v 2) (+ (* -5 (/ (sqrt 1/2) (PI))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (* (pow v 2) (- (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (* (pow v 2) (+ (* -5/2 (/ (- 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))))))) (* 15/4 (/ 1 (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (PI))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 135/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal -135/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (*.f64 v v) (-.f64 (/.f64 #s(literal 27/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 #s(literal 15/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) #s(literal -5 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (*.f64 v v) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -5 (pow v 2))) |
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) |
(pow v 2) |
(*.f64 v v) |
(/ 1 (* t (* (PI) (sqrt 2)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) |
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(fma.f64 (/.f64 #s(literal -5/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 (*.f64 v v) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -53/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) (/.f64 (*.f64 v v) t) (/.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -241/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) v) v (/.f64 #s(literal -53/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal -5/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
(/ 1 (PI)) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (PI))) |
(fma.f64 (/.f64 (*.f64 v v) (PI.f64)) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))) |
-1 |
#s(literal -1 binary64) |
(- (* 5 (pow v 2)) 1) |
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) |
(* -5 (pow v 2)) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(* (PI) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) |
(+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64)) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) |
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) v) v (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) |
(+ (* (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)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -27/2 binary64) (*.f64 v v)) (/.f64 (PI.f64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))) (*.f64 v v) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64))) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2)))) |
(fma.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal 2 binary64)))) #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)))))) |
(fma.f64 (fma.f64 #s(literal -9/4 binary64) (*.f64 v (/.f64 v (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (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)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -27/2 binary64) (*.f64 v v)) (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 v v) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) |
(* t (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (* -1 (* t (sqrt 2)))))) |
(fma.f64 (fma.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (* 3 (/ t (sqrt 2))))))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -9/4 binary64) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) v) v (fma.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64)))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(+ (* t (sqrt 2)) (* (pow v 2) (+ (* -3 (/ t (sqrt 2))) (+ (* -1 (* t (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ t (pow (sqrt 2) 3))) (+ (* 3 (/ t (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ t (pow (sqrt 2) 5))) (* 9/2 (/ t (pow (sqrt 2) 3)))))))))))) |
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(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2)))))) |
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(* -1 (* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6))))))) |
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (-.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) t) (PI.f64)) (/.f64 (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) t (*.f64 #s(literal -1/12 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) t))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (fma.f64 (neg.f64 t) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) t) (PI.f64))) (*.f64 v v)))) |
(* -1 (* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (* t (PI)) (sqrt -6))) (* t (* (PI) (sqrt -6)))) (pow v 2))) (+ (* -1 (/ (+ (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (* -1/2 (/ (* t (PI)) (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1 (/ (+ (* 1/2 (/ (* t (PI)) (pow (sqrt -6) 3))) (/ (* t (PI)) (sqrt -6))) (pow v 4))) (* t (* (PI) (sqrt -6)))))))) |
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (-.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) t) (PI.f64) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t (+.f64 (/.f64 (PI.f64) (*.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))) (/.f64 (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) t (*.f64 #s(literal -1/12 binary64) (*.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) t))) (pow.f64 v #s(literal 4 binary64))))) (/.f64 (fma.f64 (neg.f64 t) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) t) (PI.f64))) (*.f64 v v)))) |
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (PI.f64) t)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) t) |
(* -1 (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 308 |
| 0 | 92 | 303 |
| 1 | 335 | 301 |
| 2 | 2450 | 299 |
| 0 | 9178 | 297 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(*.f64 v v) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
#s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) |
(/.f64 #s(literal 1 binary64) (PI.f64)) |
(PI.f64) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) |
(-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) |
(*.f64 (*.f64 v v) #s(literal -5 binary64)) |
(*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) |
#s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
#s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (PI.f64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 t (/.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 t (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) (pow.f64 (/.f64 t (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (PI.f64)) t)) |
(*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) t) (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (pow.f64 (*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) t)) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)))) |
(pow.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (/.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)))) (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)))) (*.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)))))))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) t)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t))) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) t))) (neg.f64 (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) t))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) t))) (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1 binary64)) t)) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (/.f64 (PI.f64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (neg.f64 (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))))) |
(/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64))) |
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#s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) |
(*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) |
(*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) t) |
(*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) #s(literal -1 binary64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (neg.f64 t)) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 t #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) |
(*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (*.f64 (neg.f64 t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (neg.f64 t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) |
(*.f64 (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (neg.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 (neg.f64 t) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (*.f64 (neg.f64 t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))))) |
(neg.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
Compiled 58 628 to 4 706 computations (92% saved)
17 alts after pruning (11 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 406 | 7 | 1 413 |
| Fresh | 3 | 4 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 411 | 17 | 1 428 |
| Status | Accuracy | Program |
|---|---|---|
| 98.6% | (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) | |
| 99.5% | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) | |
| ✓ | 99.3% | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
| 98.5% | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) | |
| 98.6% | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) | |
| 98.4% | (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (PI.f64)) | |
| 98.8% | (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (*.f64 (neg.f64 t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) | |
| 99.0% | (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) | |
| ✓ | 98.7% | (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
| 98.7% | (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (neg.f64 t))) | |
| ✓ | 98.7% | (/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
| 98.6% | (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))) | |
| 98.0% | #s(approx (/ (/ (+ (* -5 (* v v)) 1) (* (PI) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) t)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))) | |
| 98.0% | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) | |
| ✓ | 98.6% | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
| ✓ | 98.5% | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) |
| ✓ | 98.4% | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
Compiled 1 645 to 580 computations (64.7% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
#s(approx (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) |
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (* (PI) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) t)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))) |
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (PI.f64)) |
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (neg.f64 t))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (*.f64 (neg.f64 t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(/.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (* t (PI))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64))) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (*.f64 t (PI.f64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) (*.f64 (*.f64 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 t (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| Outputs |
|---|
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
5 calls:
| 21.0ms | (*.f64 v v) |
| 10.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 10.0ms | (*.f64 (PI.f64) t) |
| 10.0ms | t |
| 10.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | v |
| 99.8% | 1 | t |
| 99.8% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 99.8% | 1 | (*.f64 v v) |
| 99.8% | 1 | (*.f64 (PI.f64) t) |
Compiled 36 to 30 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
#s(approx (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) |
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (* (PI) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) t)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))) |
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (PI.f64)) |
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (neg.f64 t))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (*.f64 (neg.f64 t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(/.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (* t (PI))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
5 calls:
| 37.0ms | v |
| 19.0ms | (*.f64 (PI.f64) t) |
| 8.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 8.0ms | t |
| 6.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | v |
| 99.5% | 1 | t |
| 99.5% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 99.5% | 1 | (*.f64 v v) |
| 99.5% | 1 | (*.f64 (PI.f64) t) |
Compiled 36 to 30 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
#s(approx (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) |
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (* (PI) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) t)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))) |
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (PI.f64)) |
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (neg.f64 t))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (*.f64 (neg.f64 t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(/.f64 #s(approx (/ (+ (* -5 (* v v)) 1) (* t (PI))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (PI.f64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| Outputs |
|---|
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
5 calls:
| 9.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 7.0ms | (*.f64 (PI.f64) t) |
| 7.0ms | t |
| 7.0ms | v |
| 6.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | v |
| 99.5% | 1 | t |
| 99.5% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 99.5% | 1 | (*.f64 v v) |
| 99.5% | 1 | (*.f64 (PI.f64) t) |
Compiled 36 to 30 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
#s(approx (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) |
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (* (PI) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) t)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))) |
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (PI.f64)) |
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (neg.f64 t))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (*.f64 (neg.f64 t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
5 calls:
| 9.0ms | t |
| 7.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 6.0ms | (*.f64 (PI.f64) t) |
| 6.0ms | v |
| 5.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | v |
| 99.3% | 1 | t |
| 99.3% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 99.3% | 1 | (*.f64 v v) |
| 99.3% | 1 | (*.f64 (PI.f64) t) |
Compiled 36 to 30 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
#s(approx (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) |
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (* (PI) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) t)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))) |
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (PI.f64)) |
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (neg.f64 t))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64))) (*.f64 (neg.f64 t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
5 calls:
| 8.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 6.0ms | (*.f64 (PI.f64) t) |
| 6.0ms | t |
| 6.0ms | v |
| 5.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | v |
| 99.0% | 1 | t |
| 99.0% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 99.0% | 1 | (*.f64 v v) |
| 99.0% | 1 | (*.f64 (PI.f64) t) |
Compiled 36 to 30 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
#s(approx (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) |
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (* (PI) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) t)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))) |
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (PI.f64)) |
(/.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (*.f64 (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (neg.f64 t))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 #s(approx (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (* (- 1 (* v v)) (PI)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 t (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) #s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
5 calls:
| 52.0ms | (*.f64 v v) |
| 9.0ms | v |
| 6.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 6.0ms | (*.f64 (PI.f64) t) |
| 6.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | v |
| 98.7% | 1 | t |
| 98.7% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 98.7% | 1 | (*.f64 v v) |
| 98.7% | 1 | (*.f64 (PI.f64) t) |
Compiled 36 to 30 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
#s(approx (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) |
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (* (PI) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) t)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))) |
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
| Outputs |
|---|
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
5 calls:
| 3.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 3.0ms | (*.f64 (PI.f64) t) |
| 3.0ms | t |
| 3.0ms | v |
| 2.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | v |
| 98.7% | 1 | (*.f64 v v) |
| 98.7% | 1 | t |
| 98.7% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 98.7% | 1 | (*.f64 (PI.f64) t) |
Compiled 36 to 30 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
#s(approx (/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)) |
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (* (PI) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) t)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))) |
| Outputs |
|---|
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
5 calls:
| 7.0ms | (*.f64 v v) |
| 3.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 2.0ms | (*.f64 (PI.f64) t) |
| 2.0ms | t |
| 2.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | v |
| 98.6% | 1 | t |
| 98.6% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 98.6% | 1 | (*.f64 v v) |
| 98.6% | 1 | (*.f64 (PI.f64) t) |
Compiled 36 to 30 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) |
| Outputs |
|---|
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) |
5 calls:
| 2.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 1.0ms | (*.f64 (PI.f64) t) |
| 1.0ms | v |
| 1.0ms | t |
| 1.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | v |
| 98.5% | 1 | t |
| 98.5% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 98.5% | 1 | (*.f64 v v) |
| 98.5% | 1 | (*.f64 (PI.f64) t) |
Compiled 36 to 30 computations (16.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
5 calls:
| 2.0ms | (*.f64 (PI.f64) t) |
| 1.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 1.0ms | v |
| 1.0ms | t |
| 1.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | v |
| 98.4% | 1 | t |
| 98.4% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
| 98.4% | 1 | (*.f64 v v) |
| 98.4% | 1 | (*.f64 (PI.f64) t) |
Compiled 36 to 30 computations (16.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 301 |
| 1 | 143 | 301 |
| 2 | 338 | 301 |
| 3 | 1119 | 301 |
| 4 | 5243 | 301 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (*.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(approx (sqrt (+ (* -6 (* v v)) 2)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 #s(approx (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (pow.f64 (PI.f64) #s(literal -1 binary64))) #s(approx (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal -1 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)) #s(literal -1 binary64))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (pow.f64 (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 573 | 4012 |
| 1 | 1788 | 3673 |
| 2 | 7378 | 3672 |
| 0 | 8165 | 3522 |
| 0 | 19 | 73 |
| 0 | 32 | 73 |
| 1 | 128 | 73 |
| 2 | 936 | 67 |
| 0 | 8791 | 61 |
| 0 | 195 | 1336 |
| 1 | 576 | 1236 |
| 2 | 2427 | 1121 |
| 0 | 8097 | 1077 |
| 0 | 619 | 4688 |
| 1 | 1990 | 4122 |
| 0 | 8340 | 3971 |
| 0 | 53 | 305 |
| 0 | 87 | 297 |
| 1 | 326 | 297 |
| 2 | 2462 | 295 |
| 0 | 8429 | 291 |
| 0 | 564 | 4572 |
| 1 | 1828 | 4076 |
| 2 | 7941 | 4066 |
| 0 | 8089 | 3910 |
| 0 | 59 | 323 |
| 0 | 95 | 314 |
| 1 | 348 | 314 |
| 2 | 2512 | 312 |
| 0 | 8888 | 310 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 909 to 443 computations (51.3% saved)
(negabs t)
(abs v)
Compiled 1 142 to 522 computations (54.3% saved)
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