
Time bar (total: 8.9s)
| 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)
| 1.7s | 8 256× | 0 | valid |
| 1.0ms | 11× | 0 | invalid |
ival-mult: 912.0ms (68.6% of total)ival-sub: 187.0ms (14.1% of total)ival-sqrt: 103.0ms (7.7% of total)ival-div: 73.0ms (5.5% of total)ival-pi: 30.0ms (2.3% of total)exact: 14.0ms (1.1% of total)ival-true: 6.0ms (0.5% of total)ival-assert: 3.0ms (0.2% 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 |
| 142.0ms | 512× | 0 | valid |
Compiled 401 to 80 computations (80% saved)
ival-mult: 44.0ms (55.4% of total)ival-sub: 26.0ms (32.7% of total)ival-sqrt: 4.0ms (5% of total)ival-div: 3.0ms (3.8% of total)ival-pi: 2.0ms (2.5% of total)exact: 1.0ms (1.3% of total)ival-true: 0.0ms (0% 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 | 628 | 130 |
| 3 | 4441 | 130 |
| 0 | 19 | 28 |
| 0 | 32 | 28 |
| 1 | 70 | 28 |
| 2 | 202 | 26 |
| 3 | 918 | 26 |
| 4 | 4718 | 26 |
| 5 | 7437 | 26 |
| 0 | 8123 | 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 #s(literal 5 binary64) (*.f64 v v)) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) | |
| cost-diff | 320 | (*.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 | 202 | 113 |
| 3 | 918 | 113 |
| 4 | 4718 | 113 |
| 5 | 7437 | 113 |
| 0 | 8123 | 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 | 0.16015625 | (*.f64 #s(literal 3 binary64) (*.f64 v v)) | |
| accuracy | 0.21484375 | (*.f64 (PI.f64) t) | |
| accuracy | 0.29296875 | (/.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 | 0.4599800293053261 | (*.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)))))) |
| 39.0ms | 256× | 0 | valid |
Compiled 248 to 40 computations (83.9% saved)
ival-sub: 11.0ms (42.3% of total)ival-mult: 10.0ms (38.4% of total)ival-sqrt: 2.0ms (7.7% of total)ival-pi: 1.0ms (3.8% of total)ival-div: 1.0ms (3.8% 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 #s(literal 5 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 (-.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 (PI.f64) t) |
(*.f64 #s(literal 3 binary64) (*.f64 v v)) |
| Outputs |
|---|
2 |
(+ 2 (* -6 (pow v 2))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -3 (pow v 2))) |
(* 5 (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))))))))) |
(/ 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))))) |
(* 3 (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)) |
(* 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)))))) |
(/ (- (+ (* 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) |
(* -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))))))))) |
(* -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 (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (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)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | v | @ | inf | ((* 2 (- 1 (* 3 (* v v)))) (- 1 (* 5 (* v v))) (- 1 (* 3 (* v v))) (* 5 (* v v)) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (PI) t) (* 3 (* v v))) |
| 6.0ms | t | @ | 0 | ((* 2 (- 1 (* 3 (* v v)))) (- 1 (* 5 (* v v))) (- 1 (* 3 (* v v))) (* 5 (* v v)) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (PI) t) (* 3 (* v v))) |
| 3.0ms | t | @ | -inf | ((* 2 (- 1 (* 3 (* v v)))) (- 1 (* 5 (* v v))) (- 1 (* 3 (* v v))) (* 5 (* v v)) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (PI) t) (* 3 (* v v))) |
| 3.0ms | v | @ | 0 | ((* 2 (- 1 (* 3 (* v v)))) (- 1 (* 5 (* v v))) (- 1 (* 3 (* v v))) (* 5 (* v v)) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (PI) t) (* 3 (* v v))) |
| 3.0ms | t | @ | inf | ((* 2 (- 1 (* 3 (* v v)))) (- 1 (* 5 (* v v))) (- 1 (* 3 (* v v))) (* 5 (* v v)) (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (PI) t) (* 3 (* v v))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 1341 |
| 1 | 576 | 1241 |
| 2 | 2413 | 1126 |
| 0 | 8026 | 1082 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
2 |
(+ 2 (* -6 (pow v 2))) |
1 |
(+ 1 (* -5 (pow v 2))) |
(+ 1 (* -3 (pow v 2))) |
(* 5 (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))))))))) |
(/ 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))))) |
(* 3 (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)) |
(* 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)))))) |
(/ (- (+ (* 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) |
(* -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))))))))) |
(* -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 (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (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)) |
| 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)) |
(* 5 (pow v 2)) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(* 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)))))) |
(/ 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) (PI.f64)) (/.f64 v (*.f64 (sqrt.f64 #s(literal 2 binary64)) 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 (*.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))) |
(* 3 (pow v 2)) |
(*.f64 #s(literal 3 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)) |
(* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))) |
(*.f64 (*.f64 (*.f64 t v) (PI.f64)) (*.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 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal -3 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 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal -3 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))) |
(/ (- (+ (* 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 (pow.f64 v #s(literal 4 binary64)) (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 5 binary64) t) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) t))) (-.f64 (/.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)))))))) 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 6 binary64)) t)) (/.f64 #s(literal 5 binary64) 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 4 binary64)) t)) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) 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) |
(* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))) |
(*.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 t v)) |
(* -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 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal -3 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 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 #s(literal -3 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))))))) |
(* -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)) |
(* -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 (pow.f64 v #s(literal 4 binary64)) (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 5 binary64) t) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) 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 6 binary64)) t)) (/.f64 #s(literal 5 binary64) 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 4 binary64)) t)) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) 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)) |
(* (* 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)) |
(* (/ (- 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)) |
(*.f64 (PI.f64) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 78 |
| 0 | 32 | 78 |
| 1 | 128 | 78 |
| 2 | 923 | 72 |
| 0 | 8720 | 66 |
| 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 #s(literal 5 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 (-.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 (PI.f64) t) |
(*.f64 #s(literal 3 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 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (*.f64 v v))) |
(+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))) (*.f64 (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 v v (pow.f64 v #s(literal 4 binary64))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 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 t (PI.f64)))) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 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 t (PI.f64)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 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 t (PI.f64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -5 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))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 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 t (PI.f64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 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 t (PI.f64)))) (*.f64 #s(literal -5 binary64) (*.f64 v v)))) |
(+.f64 (/.f64 (*.f64 #s(literal -5 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 (pow.f64 (-.f64 #s(literal 1 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 t (PI.f64))))) |
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 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 t (PI.f64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -5 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 (pow.f64 (-.f64 #s(literal 1 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 t (PI.f64)))) (/.f64 (*.f64 #s(literal -5 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 (*.f64 t (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 t (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) |
(*.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 (*.f64 v #s(literal 3 binary64)) v) |
(*.f64 (*.f64 (*.f64 v v) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 v v) #s(literal 3 binary64)) |
(*.f64 v (*.f64 v #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 v v)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64))) |
Compiled 23 546 to 2 189 computations (90.7% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 538 | 11 | 549 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 539 | 11 | 550 |
| 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))))) | |
| 99.4% | (/.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))))) | |
| 99.5% | (/.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)))) | |
| ▶ | 99.3% | (/.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)))) |
| ▶ | 98.7% | (/.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)))) |
| 98.9% | (/.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)))) | |
| ▶ | 99.6% | (/.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))))) |
| ▶ | 99.3% | (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)))))) |
| 99.6% | (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) | |
| 99.2% | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (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)))) | |
| ▶ | 98.8% | #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 654 to 456 computations (30.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | 704 | (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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 | (*.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 | 128 | (-.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 | 128 | (-.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 | 320 | (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) #s(literal 1 binary64)) | |
| cost-diff | 384 | (/.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))))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 496 |
| 0 | 92 | 485 |
| 1 | 193 | 485 |
| 2 | 579 | 467 |
| 3 | 3010 | 467 |
| 4 | 5759 | 467 |
| 0 | 8633 | 467 |
| 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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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 #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 (*.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)) |
#s(literal 1 binary64) |
(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) |
| 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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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 (*.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))))) |
(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 #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 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 (*.f64 t (PI.f64)) (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 (*.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)) |
#s(literal 1 binary64) |
(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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) | |
| accuracy | 0.21875 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) | |
| accuracy | 0.2890625 | (/.f64 #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 | 0.4599800293053261 | (*.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 | 0.1403312988422101 | (*.f64 #s(literal 5 binary64) (*.f64 v v)) | |
| accuracy | 0.29296875 | (/.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 | 0.33203125 | (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) (PI.f64)) | |
| accuracy | 0.4453125 | (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) | |
| accuracy | 0.21484375 | (*.f64 (PI.f64) t) | |
| accuracy | 0.29296875 | (/.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 | 0.4599800293053261 | (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)))) | |
| accuracy | 0.4654956284550754 | #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (PI.f64) | |
| accuracy | 0.203125 | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) | |
| accuracy | 0.27734375 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) | |
| accuracy | 0.4465644440047135 | #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 | 0.0 | (PI.f64) | |
| accuracy | 0.01171875 | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) | |
| accuracy | 0.39748002930532605 | (/.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 | 0.44140625 | (*.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)))) |
| 112.0ms | 256× | 0 | valid |
Compiled 996 to 107 computations (89.3% saved)
ival-div: 40.0ms (46.2% of total)ival-mult: 32.0ms (36.9% of total)ival-sub: 5.0ms (5.8% of total)ival-sqrt: 5.0ms (5.8% of total)ival-add: 4.0ms (4.6% of total)ival-pi: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 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(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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)) |
(*.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 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(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 #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)) |
| 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 (PI)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (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 (* (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) (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 4 (/ (sqrt 1/2) (* t (PI)))))))) (* -1 (- (* 4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -1 (- (* 4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (* (pow v 2) (+ (* -1 (* (pow v 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))))) (+ (* 2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 4 (/ (sqrt 1/2) (* t (PI))))))))) (* -1 (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 4 (/ (sqrt 1/2) (* t (PI))))))))))) (/ (sqrt 1/2) (* t (PI)))) |
-1 |
(- (* 5 (pow v 2)) 1) |
(* 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)))))))))))) |
(* 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)))))))))))) |
2 |
(+ 2 (* -6 (pow v 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)))))))) |
(* -1 (/ (sqrt 1/2) (* t (PI)))) |
(+ (* -1 (* (pow v 2) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI)))))) (* -1 (/ (sqrt 1/2) (* t (PI))))) |
(+ (* -1 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI))))))) (* -1 (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI)))))))) |
(+ (* -1 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* -1 (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI))))) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* 1/2 (/ (- 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))))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI)))))))) (* -1 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI))))))))))) |
(* t (PI)) |
(+ (* -1 (* t (* (pow v 2) (PI)))) (* t (PI))) |
(PI) |
(+ (PI) (* -1 (* (pow v 2) (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) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* -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) |
(/ (+ (* -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) |
(* (pow v 2) (- 5 (/ 1 (pow v 2)))) |
(* -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))))))))) |
(* -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))))))))) |
(* -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))))))) |
(/ (sqrt -1/6) (* t (* (pow v 3) (PI)))) |
(/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (/ (sqrt -1/6) (* t (PI)))) (pow v 3)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (/ (sqrt -1/6) (* t (PI))))) (pow v 3)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (/ (sqrt -1/6) (* t (PI)))))) (pow v 3)) |
(* -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)))) |
(* -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 (/ (+ (* -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)) |
(* t (* (pow v 3) (* (PI) (sqrt -6)))) |
(* -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)))))))))) |
(* 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 (* (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)))))))) |
(* -1 (/ (sqrt -1/6) (* t (* (pow v 3) (PI))))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (/ (sqrt -1/6) (* t (PI)))) (pow v 3))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (/ (sqrt -1/6) (* t (PI))))) (pow v 3))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (/ (sqrt -1/6) (* t (PI)))))) (pow v 3))) |
(* (/ (+ 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)) 1) (* 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))))) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* -1 (* (/ 1 (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))) |
(* t (* (PI) (- 1 (pow v 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | t | @ | inf | ((/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (+ (* -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) (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))))) (+ (* 5 (* v v)) -1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (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)) (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (- 1 (* v v)) (PI)) t) (* (- 1 (* v v)) (PI))) |
| 13.0ms | v | @ | 0 | ((/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (+ (* -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) (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))))) (+ (* 5 (* v v)) -1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (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)) (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (- 1 (* v v)) (PI)) t) (* (- 1 (* v v)) (PI))) |
| 11.0ms | t | @ | 0 | ((/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (+ (* -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) (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))))) (+ (* 5 (* v v)) -1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (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)) (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (- 1 (* v v)) (PI)) t) (* (- 1 (* v v)) (PI))) |
| 10.0ms | v | @ | inf | ((/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (+ (* -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) (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))))) (+ (* 5 (* v v)) -1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (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)) (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (- 1 (* v v)) (PI)) t) (* (- 1 (* v v)) (PI))) |
| 9.0ms | t | @ | -inf | ((/ (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (* (/ (+ (* -5 (* v v)) 1) (PI)) 1) (/ (+ (* -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) (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))))) (+ (* 5 (* v v)) -1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) (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)) (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (* (- 1 (* v v)) (PI)) t) (* (- 1 (* v v)) (PI))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 660 | 5518 |
| 1 | 2185 | 4870 |
| 0 | 8435 | 4688 |
| 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 (PI)) |
(+ (* -5 (/ (pow v 2) (PI))) (/ 1 (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 (* (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) (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 4 (/ (sqrt 1/2) (* t (PI)))))))) (* -1 (- (* 4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -1 (- (* 4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (* (pow v 2) (+ (* -1 (* (pow v 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))))) (+ (* 2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 4 (/ (sqrt 1/2) (* t (PI))))))))) (* -1 (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 4 (/ (sqrt 1/2) (* t (PI))))))))))) (/ (sqrt 1/2) (* t (PI)))) |
-1 |
(- (* 5 (pow v 2)) 1) |
(* 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)))))))))))) |
(* 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)))))))))))) |
2 |
(+ 2 (* -6 (pow v 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)))))))) |
(* -1 (/ (sqrt 1/2) (* t (PI)))) |
(+ (* -1 (* (pow v 2) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI)))))) (* -1 (/ (sqrt 1/2) (* t (PI))))) |
(+ (* -1 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI))))))) (* -1 (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI)))))))) |
(+ (* -1 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* -1 (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI))))) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* 1/2 (/ (- 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))))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI)))))))) (* -1 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI))))))))))) |
(* t (PI)) |
(+ (* -1 (* t (* (pow v 2) (PI)))) (* t (PI))) |
(PI) |
(+ (PI) (* -1 (* (pow v 2) (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) (PI))) |
(* (pow v 2) (- (/ 1 (* (pow v 2) (PI))) (* 5 (/ 1 (PI))))) |
(* -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) |
(/ (+ (* -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) |
(* (pow v 2) (- 5 (/ 1 (pow v 2)))) |
(* -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))))))))) |
(* -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))))))))) |
(* -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))))))) |
(/ (sqrt -1/6) (* t (* (pow v 3) (PI)))) |
(/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (/ (sqrt -1/6) (* t (PI)))) (pow v 3)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (/ (sqrt -1/6) (* t (PI))))) (pow v 3)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (/ (sqrt -1/6) (* t (PI)))))) (pow v 3)) |
(* -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)))) |
(* -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 (/ (+ (* -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)) |
(* t (* (pow v 3) (* (PI) (sqrt -6)))) |
(* -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)))))))))) |
(* 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 (* (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)))))))) |
(* -1 (/ (sqrt -1/6) (* t (* (pow v 3) (PI))))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (/ (sqrt -1/6) (* t (PI)))) (pow v 3))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (/ (sqrt -1/6) (* t (PI))))) (pow v 3))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (/ (sqrt -1/6) (* t (PI)))))) (pow v 3))) |
(* (/ (+ 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)) 1) (* 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))))) |
(* (* t (- 1 (pow v 2))) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(* t (sqrt (+ 2 (* -6 (pow v 2))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
(* -1 (* (/ 1 (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))) |
(* t (* (PI) (- 1 (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))) |
(/ 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) |
(+ 1 (* -5 (pow v 2))) |
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#s(literal -1 binary64) |
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2 |
#s(literal 2 binary64) |
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(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) |
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(* t (PI)) |
(*.f64 (PI.f64) t) |
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(/.f64 (neg.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)) (*.f64 (pow.f64 v #s(literal 3 binary64)) (PI.f64))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (/ (sqrt -1/6) (* t (PI)))) (pow v 3))) |
(/.f64 (-.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (PI.f64)) (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t)) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (PI.f64))) (*.f64 v v))) (neg.f64 (pow.f64 v #s(literal 3 binary64)))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (/ (sqrt -1/6) (* t (PI))))) (pow v 3))) |
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (PI.f64)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/144 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 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (PI.f64))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t)) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (PI.f64))) (*.f64 v v))) (neg.f64 (pow.f64 v #s(literal 3 binary64)))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (/ (sqrt -1/6) (* t (PI)))))) (pow v 3))) |
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (PI.f64)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 5/2592 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t)) (/.f64 #s(literal 1/144 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 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (PI.f64))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/144 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 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (PI.f64))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t)) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (PI.f64))) (*.f64 v v))) (neg.f64 (pow.f64 v #s(literal 3 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 #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) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64))))) (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (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 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) |
(* -1 (* (/ (- (* 5 (pow v 2)) 1) (* 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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t))) |
(* (* t (* (PI) (- 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (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 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (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)) |
(* -1 (* (/ 1 (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t))) |
(* t (* (PI) (- 1 (pow v 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 325 |
| 0 | 92 | 317 |
| 1 | 329 | 316 |
| 2 | 2520 | 314 |
| 0 | 8497 | 310 |
| 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(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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)) |
(*.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 t (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(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 #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)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.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)) (neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.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 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 (*.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 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 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 (*.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 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 (/.f64 (*.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 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 (*.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)) (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 (/.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 -1 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) (pow.f64 (PI.f64) #s(literal -1 binary64))) #s(literal -1 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)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (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))) #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 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (pow.f64 (PI.f64) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 t (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 t #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (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))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.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) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 v v #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.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) (pow.f64 v #s(literal 6 binary64)))) (+.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) t) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (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 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal -1 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) (/.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) #s(literal -1 binary64)) (pow.f64 (/.f64 (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))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t) #s(literal -1 binary64)) (/.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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 (pow.f64 (PI.f64) #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 (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) t) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -1 binary64))) |
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(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))) |
Compiled 57 014 to 5 121 computations (91% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 351 | 11 | 1 362 |
| Fresh | 2 | 4 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 356 | 17 | 1 373 |
| 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))))) |
| 98.7% | (/.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))) | |
| 98.6% | (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 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)))) | |
| ▶ | 98.9% | (/.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)))) |
| 98.9% | (/.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))) | |
| ✓ | 99.3% | (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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) (*.f64 v v))) (*.f64 t (PI.f64))))) | |
| 98.7% | (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)))))) | |
| ▶ | 98.8% | (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (neg.f64 (PI.f64))))) | |
| ▶ | 99.6% | (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
| 99.2% | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (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)))) | |
| ✓ | 98.8% | #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))) |
| 98.7% | #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)))) | |
| ▶ | 98.7% | #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))))) |
| 98.4% | #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)) t) (PI.f64))) |
Compiled 1 005 to 725 computations (27.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) | |
| 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 | 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 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) | |
| cost-diff | 0 | (/.f64 #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))) | |
| cost-diff | 0 | (*.f64 v v) | |
| cost-diff | 0 | (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) | |
| cost-diff | 320 | (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (*.f64 t (PI.f64)) | |
| cost-diff | 0 | (*.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 | (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)) t) | |
| cost-diff | 704 | (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 499 |
| 0 | 99 | 498 |
| 1 | 191 | 494 |
| 2 | 498 | 471 |
| 3 | 2239 | 471 |
| 4 | 6305 | 471 |
| 0 | 8159 | 471 |
| 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)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.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)) 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) |
t |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.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 (PI.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 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(PI.f64) |
(-.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 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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)))) |
(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 #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))) |
#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 (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 (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 #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 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) |
(*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) |
(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) |
(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 (-.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) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.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 (*.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)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) |
(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) |
t |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.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 #s(literal 1 binary64) (PI.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 (*.f64 (PI.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 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (PI.f64)) |
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) |
(PI.f64) |
(-.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 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))) t) (PI.f64))) |
(/.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))) t) (PI.f64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)) |
(*.f64 t (PI.f64)) |
(*.f64 (PI.f64) t) |
t |
(PI.f64) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(approx (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) |
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) |
#s(literal 5 binary64) |
(*.f64 v v) |
v |
#s(literal -1 binary64) |
(/.f64 #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 #s(literal -1 binary64) #s(approx (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)))) |
#s(approx (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) |
#s(approx (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)) |
(*.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 (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 (*.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 (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 (*.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 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) |
(*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (*.f64 (PI.f64) t)) |
(*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) |
(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) |
(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 (-.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)) (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)) |
(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 (*.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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) | |
| accuracy | 0.21875 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) | |
| accuracy | 0.29296875 | (/.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 | 0.4599800293053261 | (*.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 | 0.1403312988422101 | (*.f64 #s(literal 5 binary64) (*.f64 v v)) | |
| accuracy | 0.1953125 | (*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) t) | |
| accuracy | 0.29296875 | (/.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)))) | |
| accuracy | 0.4654956284550754 | #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)) | |
| accuracy | 0.015625 | (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)))) | |
| accuracy | 0.203125 | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) | |
| accuracy | 0.2890625 | (/.f64 #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))) | |
| accuracy | 0.4415161020186374 | #s(approx (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) | |
| accuracy | 0.21484375 | (*.f64 t (PI.f64)) | |
| accuracy | 0.27734375 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 0.4465644440047135 | #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 | 0.47007753907376815 | (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 0.0078125 | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.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 | 0.015625 | (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) | |
| accuracy | 0.26953125 | (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
| 133.0ms | 256× | 0 | valid |
Compiled 980 to 117 computations (88.1% saved)
ival-mult: 51.0ms (67.8% of total)ival-div: 10.0ms (13.3% of total)ival-sqrt: 5.0ms (6.6% of total)ival-add: 4.0ms (5.3% of total)ival-sub: 3.0ms (4% of total)ival-pi: 1.0ms (1.3% of total)exact: 1.0ms (1.3% 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)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.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)) t) |
(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 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 t (PI.f64)) |
(PI.f64) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)))) |
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) |
(/.f64 #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 #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 (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 #s(literal 5 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) |
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.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 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 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 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) |
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) 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 #s(literal 1 binary64) (*.f64 v v)) (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)))) |
(/ 1 t) |
(+ (* -5 (/ (pow v 2) t)) (/ 1 t)) |
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 (* (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) (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 4 (/ (sqrt 1/2) (* t (PI)))))))) (* -1 (- (* 4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(+ (* (pow v 2) (+ (* -1 (- (* 4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (* (pow v 2) (+ (* -1 (* (pow v 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))))) (+ (* 2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 4 (/ (sqrt 1/2) (* t (PI))))))))) (* -1 (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 4 (/ (sqrt 1/2) (* t (PI))))))))))) (/ (sqrt 1/2) (* t (PI)))) |
-1 |
(- (* 5 (pow v 2)) 1) |
(* -1 (/ (sqrt 1/2) (* t (PI)))) |
(+ (* -1 (* (pow v 2) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI)))))) (* -1 (/ (sqrt 1/2) (* t (PI))))) |
(+ (* -1 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI))))))) (* -1 (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI)))))))) |
(+ (* -1 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* -1 (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI))))) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* 1/2 (/ (- 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))))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI)))))))) (* -1 (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI))))))))))) |
(* 5 (pow v 2)) |
(* 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)))))))))))) |
(* t (PI)) |
(+ (* -1 (* t (* (pow v 2) (PI)))) (* t (PI))) |
(PI) |
(+ (PI) (* -1 (* (pow v 2) (PI)))) |
(/ (sqrt 1/2) (PI)) |
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (/ (sqrt 1/2) (PI))) |
(+ (* (pow v 2) (+ (* 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)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))) |
(+ (* (pow v 2) (+ (* 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)))) (+ (* 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)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))) |
2 |
(+ 2 (* -6 (pow v 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 (/ (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) t)) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(* -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) |
(/ (+ (* -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) |
(* (pow v 2) (- 5 (/ 1 (pow v 2)))) |
(/ (sqrt -1/6) (* t (* (pow v 3) (PI)))) |
(/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (/ (sqrt -1/6) (* t (PI)))) (pow v 3)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (/ (sqrt -1/6) (* t (PI))))) (pow v 3)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (/ (sqrt -1/6) (* t (PI)))))) (pow v 3)) |
(* -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))))))))) |
(* -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)))) |
(* -1 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3)) |
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3)) |
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 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))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3)) |
(* -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)))))))) |
(* -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 (/ (+ (* -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 (/ (sqrt -1/6) (* t (* (pow v 3) (PI))))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (/ (sqrt -1/6) (* t (PI)))) (pow v 3))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (/ (sqrt -1/6) (* t (PI))))) (pow v 3))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (/ (sqrt -1/6) (* t (PI)))))) (pow v 3))) |
(* t (* (pow v 3) (* (PI) (sqrt -6)))) |
(* -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)))))))))) |
(/ (sqrt -1/6) (* (pow v 3) (PI))) |
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3))) |
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3))) |
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 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))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 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 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(* (/ (- 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)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))) |
(* -1 (* (/ 1 (* 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))))) |
(* t (* (PI) (- 1 (pow v 2)))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | t | @ | -inf | ((* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (+ (* -5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* t (PI)) (sqrt 2)) (* t (PI)) (PI) (* (+ (* 5 (* v v)) -1) (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))))) (+ (* 5 (* v v)) -1) (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (- 1 (* 5 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (PI)) t) (- 1 (* v v)))) (* 5 (* v v)) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* (- 1 (* v v)) (PI)) t) (* (PI) (- 1 (* v v))) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ 1 (* (* t (PI)) (sqrt 2))) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* (sqrt 2) (PI)) t) (* 2 (- 1 (* 3 (* v v)))) (* (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (PI)) t) (/ (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) (PI))) |
| 9.0ms | t | @ | 0 | ((* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (+ (* -5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* t (PI)) (sqrt 2)) (* t (PI)) (PI) (* (+ (* 5 (* v v)) -1) (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))))) (+ (* 5 (* v v)) -1) (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (- 1 (* 5 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (PI)) t) (- 1 (* v v)))) (* 5 (* v v)) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* (- 1 (* v v)) (PI)) t) (* (PI) (- 1 (* v v))) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ 1 (* (* t (PI)) (sqrt 2))) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* (sqrt 2) (PI)) t) (* 2 (- 1 (* 3 (* v v)))) (* (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (PI)) t) (/ (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) (PI))) |
| 6.0ms | t | @ | inf | ((* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (+ (* -5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* t (PI)) (sqrt 2)) (* t (PI)) (PI) (* (+ (* 5 (* v v)) -1) (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))))) (+ (* 5 (* v v)) -1) (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (- 1 (* 5 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (PI)) t) (- 1 (* v v)))) (* 5 (* v v)) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* (- 1 (* v v)) (PI)) t) (* (PI) (- 1 (* v v))) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ 1 (* (* t (PI)) (sqrt 2))) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* (sqrt 2) (PI)) t) (* 2 (- 1 (* 3 (* v v)))) (* (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (PI)) t) (/ (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) (PI))) |
| 4.0ms | v | @ | inf | ((* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (+ (* -5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* t (PI)) (sqrt 2)) (* t (PI)) (PI) (* (+ (* 5 (* v v)) -1) (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))))) (+ (* 5 (* v v)) -1) (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (- 1 (* 5 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (PI)) t) (- 1 (* v v)))) (* 5 (* v v)) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* (- 1 (* v v)) (PI)) t) (* (PI) (- 1 (* v v))) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ 1 (* (* t (PI)) (sqrt 2))) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* (sqrt 2) (PI)) t) (* 2 (- 1 (* 3 (* v v)))) (* (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (PI)) t) (/ (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) (PI))) |
| 4.0ms | v | @ | 0 | ((* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (+ (* -5 (* v v)) 1) (* v v) (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (* (* t (PI)) (sqrt 2)) (* t (PI)) (PI) (* (+ (* 5 (* v v)) -1) (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))))) (+ (* 5 (* v v)) -1) (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (- 1 (* 5 (* v v))) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (PI)) t) (- 1 (* v v)))) (* 5 (* v v)) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* (- 1 (* v v)) (PI)) t) (* (PI) (- 1 (* v v))) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ 1 (* (* t (PI)) (sqrt 2))) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* (sqrt 2) (PI)) t) (* 2 (- 1 (* 3 (* v v)))) (* (* (sqrt (* 2 (- 1 (* 3 (* v v))))) (PI)) t) (/ (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (- 1 (* v v)) (PI))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 605 | 5099 |
| 1 | 1976 | 4349 |
| 0 | 8301 | 4226 |
| 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 t) |
(+ (* -5 (/ (pow v 2) t)) (/ 1 t)) |
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))))) |
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-1 |
(- (* 5 (pow v 2)) 1) |
(* -1 (/ (sqrt 1/2) (* t (PI)))) |
(+ (* -1 (* (pow v 2) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI)))))) (* -1 (/ (sqrt 1/2) (* t (PI))))) |
(+ (* -1 (/ (sqrt 1/2) (* t (PI)))) (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI))))))) (* -1 (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (/ (sqrt 1/2) (* t (PI)))))))) |
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(* 5 (pow v 2)) |
(* 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)))))))))))) |
(* t (PI)) |
(+ (* -1 (* t (* (pow v 2) (PI)))) (* t (PI))) |
(PI) |
(+ (PI) (* -1 (* (pow v 2) (PI)))) |
(/ (sqrt 1/2) (PI)) |
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (/ (sqrt 1/2) (PI))) |
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2 |
(+ 2 (* -6 (pow v 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 (/ (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) |
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(* -5 (/ (pow v 2) t)) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(* -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) |
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(/ (+ (* -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) |
(* (pow v 2) (- 5 (/ 1 (pow v 2)))) |
(/ (sqrt -1/6) (* t (* (pow v 3) (PI)))) |
(/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (/ (sqrt -1/6) (* t (PI)))) (pow v 3)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (/ (sqrt -1/6) (* t (PI))))) (pow v 3)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (/ (sqrt -1/6) (* t (PI)))))) (pow v 3)) |
(* -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))))))))) |
(* -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)))) |
(* -1 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3)) |
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3)) |
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 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))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3)) |
(* -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)))))))) |
(* -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 (/ (+ (* -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 (/ (sqrt -1/6) (* t (* (pow v 3) (PI))))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (/ (sqrt -1/6) (* t (PI)))) (pow v 3))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (/ (sqrt -1/6) (* t (PI))))) (pow v 3))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (/ (sqrt -1/6) (* t (PI)))))) (pow v 3))) |
(* t (* (pow v 3) (* (PI) (sqrt -6)))) |
(* -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)))))))))) |
(/ (sqrt -1/6) (* (pow v 3) (PI))) |
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3))) |
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3))) |
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 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))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 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 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(* (/ (- 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)) 1) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))) |
(* -1 (* (/ 1 (* 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))))) |
(* t (* (PI) (- 1 (pow v 2)))) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (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))) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(+ (* -5 (/ (pow v 2) t)) (/ 1 t)) |
(fma.f64 (/.f64 (*.f64 v v) t) #s(literal -5 binary64) (/.f64 #s(literal 1 binary64) t)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -5 (pow v 2))) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #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 (* (pow v 2) (- (* 4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2)))))))) (/ (sqrt 1/2) (* t (PI)))) |
(fma.f64 (*.f64 (neg.f64 v) v) (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 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))) |
(+ (* (pow v 2) (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 4 (/ (sqrt 1/2) (* t (PI)))))))) (* -1 (- (* 4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (/ (sqrt 1/2) (* t (PI)))) |
(fma.f64 (neg.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t))) (/.f64 #s(literal -27/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t))) (*.f64 v v) (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) (+ (* -1 (- (* 4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (* (pow v 2) (+ (* -1 (* (pow v 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))))) (+ (* 2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 4 (/ (sqrt 1/2) (* t (PI))))))))) (* -1 (+ (* -1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (+ (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* 4 (/ (sqrt 1/2) (* t (PI))))))))))) (/ (sqrt 1/2) (* t (PI)))) |
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#s(literal 2 binary64) |
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(/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (pow.f64 v #s(literal 3 binary64)))) (PI.f64)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (/ (sqrt -1/6) (* t (PI)))) (pow v 3))) |
(/.f64 (-.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (PI.f64)) (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t)) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (PI.f64))) (*.f64 v v))) (neg.f64 (pow.f64 v #s(literal 3 binary64)))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (/ (sqrt -1/6) (* t (PI))))) (pow v 3))) |
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (PI.f64)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/144 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 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (PI.f64))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t)) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (PI.f64))) (*.f64 v v))) (neg.f64 (pow.f64 v #s(literal 3 binary64)))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6)))))) (pow v 2))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))))) (pow v 4))) (+ (* -1 (/ (+ (* -1 (/ (sqrt -1/6) (* t (PI)))) (+ (* 1/36 (/ 1 (* t (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6))))) (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (PI) (sqrt -1/6)))))))) (pow v 6))) (/ (sqrt -1/6) (* t (PI)))))) (pow v 3))) |
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (PI.f64)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 5/2592 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t)) (/.f64 #s(literal 1/144 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 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (PI.f64))) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/144 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 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (PI.f64))) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) t)) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (PI.f64))) (*.f64 v v))) (neg.f64 (pow.f64 v #s(literal 3 binary64)))) |
(* t (* (pow v 3) (* (PI) (sqrt -6)))) |
(*.f64 (*.f64 t (pow.f64 v #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64))) |
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))) |
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal -6 binary64))) (PI.f64) (fma.f64 (neg.f64 (/.f64 t (*.f64 v v))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (PI.f64)) v) (/.f64 t v))))) |
(* -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)))))))) |
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal -6 binary64))) (PI.f64) (fma.f64 (neg.f64 (/.f64 t (*.f64 v v))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 t (pow.f64 v #s(literal 4 binary64)))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal -6 binary64)) (*.f64 t (fma.f64 (/.f64 (PI.f64) v) (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64))))))))) |
(* -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)))))))))) |
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal -6 binary64))) (PI.f64) (fma.f64 (neg.f64 (/.f64 t (*.f64 v v))) (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -6 binary64))) (/.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (/.f64 t (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64))) (/.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 t (pow.f64 v #s(literal 4 binary64)))) (/.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))) #s(literal -6 binary64)) (*.f64 t (fma.f64 (/.f64 (PI.f64) v) (/.f64 (sqrt.f64 #s(literal -6 binary64)) v) (/.f64 (/.f64 (PI.f64) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -6 binary64)))))))))) |
(/ (sqrt -1/6) (* (pow v 3) (PI))) |
(/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (pow.f64 v #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3))) |
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal -1/6 binary64))) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (*.f64 v v))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (neg.f64 (pow.f64 v #s(literal 3 binary64)))) |
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3))) |
(/.f64 (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (PI.f64))) (sqrt.f64 #s(literal -1/6 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (/.f64 #s(literal 1/144 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (PI.f64))) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (*.f64 v v))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (neg.f64 (pow.f64 v #s(literal 3 binary64)))) |
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 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))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3))) |
(/.f64 (-.f64 (-.f64 (-.f64 (-.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 v #s(literal 6 binary64))) (PI.f64)) (sqrt.f64 #s(literal -1/6 binary64))) (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (PI.f64))) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 v v)) (PI.f64)) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (/.f64 #s(literal 1/144 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (PI.f64))) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (/.f64 #s(literal 1/144 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) (PI.f64))) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (/.f64 #s(literal 5/2592 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (PI.f64))) (sqrt.f64 #s(literal -1/6 binary64)))) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64)) (*.f64 v v))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (PI.f64))) (neg.f64 (pow.f64 v #s(literal 3 binary64)))) |
(* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))) |
(*.f64 (*.f64 (neg.f64 t) v) (*.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64))) (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 (PI.f64) (sqrt.f64 #s(literal -3 binary64)))) (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 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 t (*.f64 v v))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal -1/8 binary64)) (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))))))) |
(* -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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 t (*.f64 v v))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) #s(literal -1/8 binary64)) (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 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)))) |
(/ (+ 1 (* -5 (pow v 2))) t) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) |
(* (/ (- 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) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 3 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)) 1) (* 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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t))) |
(* -1 (* (/ 1 (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t))) |
(* (* 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)) |
(* t (* (PI) (- 1 (pow v 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) |
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 343 |
| 0 | 99 | 338 |
| 1 | 333 | 337 |
| 2 | 2392 | 334 |
| 0 | 8738 | 330 |
| 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)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.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)) t) |
(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 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 t (PI.f64)) |
(PI.f64) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)))) |
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) |
(/.f64 #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 #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 (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 #s(literal 5 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 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) |
(*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.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 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 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 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) |
#s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64)) 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 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.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 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))) |
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(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(fma.f64 (exp.f64 (log.f64 (sqrt.f64 (PI.f64)))) (exp.f64 (log.f64 (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(fma.f64 (exp.f64 (log.f64 (sqrt.f64 (PI.f64)))) (exp.f64 (log.f64 (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(fma.f64 (exp.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (exp.f64 (log.f64 (cbrt.f64 (PI.f64)))) (*.f64 (*.f64 (neg.f64 v) v) (PI.f64))) |
(fma.f64 (exp.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (exp.f64 (log.f64 (cbrt.f64 (PI.f64)))) (*.f64 (PI.f64) (*.f64 (neg.f64 v) v))) |
(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))) |
Compiled 55 970 to 4 579 computations (91.8% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 333 | 6 | 1 339 |
| Fresh | 3 | 7 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 338 | 18 | 1 356 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 (PI.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))))) |
| ▶ | 98.7% | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
| 98.8% | (/.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))) | |
| 99.0% | (/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) | |
| ▶ | 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)))) |
| 98.9% | (/.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))) | |
| ✓ | 99.3% | (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)))))) |
| 98.7% | (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)))))) | |
| ✓ | 98.8% | (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (neg.f64 (PI.f64))))) | |
| ▶ | 99.0% | (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
| ▶ | 98.4% | (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
| 99.2% | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (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)))) | |
| ✓ | 98.8% | #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))) |
| ▶ | 98.7% | #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)))) |
| ✓ | 98.7% | #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))))) |
| 98.4% | #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)) t) (PI.f64))) |
Compiled 986 to 724 computations (26.6% 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)) t) | |
| cost-diff | 704 | (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) | |
| cost-diff | 0 | #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (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 | 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)) t) | |
| cost-diff | 0 | (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) | |
| 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 (*.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))) | |
| cost-diff | 0 | (*.f64 v v) | |
| cost-diff | 0 | (*.f64 #s(literal 5 binary64) (*.f64 v v)) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 449 |
| 0 | 94 | 446 |
| 1 | 182 | 444 |
| 2 | 457 | 441 |
| 3 | 1926 | 441 |
| 4 | 5949 | 441 |
| 0 | 8290 | 441 |
| 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 (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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 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) |
t |
#s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (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 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
#s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) |
(*.f64 (PI.f64) t) |
(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 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (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)) 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) |
t |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
#s(approx (* (PI) (- 1 (* v v))) (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) |
| 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 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.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 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 (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 (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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(*.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t)) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 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) |
t |
#s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(PI.f64) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (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)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.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 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
#s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) |
#s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 t (PI.f64))) |
(*.f64 (PI.f64) t) |
(*.f64 t (PI.f64)) |
(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 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (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)) t) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (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)) 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) |
t |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (PI) (- 1 (* v v))) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
#s(approx (* (PI) (- 1 (* v v))) (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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) | |
| accuracy | 0.26953125 | (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) | |
| accuracy | 0.4096872207644696 | #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) | |
| accuracy | 0.21484375 | (*.f64 (PI.f64) t) | |
| accuracy | 0.29296875 | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) | |
| accuracy | 0.40984781228200196 | #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) | |
| accuracy | 0.4599800293053261 | (*.f64 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (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)) t) | |
| accuracy | 0.26953125 | (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) | |
| accuracy | 0.45545113290183714 | #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) | |
| accuracy | 1.0 | (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) | |
| accuracy | 0.27734375 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64))) | |
| accuracy | 0.32421875 | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64)) | |
| accuracy | 0.4453125 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) | |
| accuracy | 0.4465644440047135 | #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 | 0.00390625 | (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) | |
| accuracy | 0.1403312988422101 | (*.f64 #s(literal 5 binary64) (*.f64 v v)) | |
| accuracy | 0.1953125 | (*.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) | |
| accuracy | 0.29296875 | (/.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)))) |
| 145.0ms | 256× | 0 | valid |
Compiled 888 to 112 computations (87.4% saved)
ival-mult: 58.0ms (50.7% of total)ival-sqrt: 39.0ms (34.1% of total)ival-div: 10.0ms (8.7% of total)ival-sub: 4.0ms (3.5% of total)ival-add: 2.0ms (1.7% of total)ival-pi: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(*.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))) |
#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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(*.f64 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
#s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) |
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(/.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 (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)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) |
#s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(*.f64 (PI.f64) t) |
#s(approx (* (PI) (- 1 (* v v))) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
| Outputs |
|---|
1 |
(+ 1 (* -5 (pow v 2))) |
(* 5 (pow v 2)) |
(pow v 2) |
(* 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)))) |
(+ (* -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))))) |
(/ (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 t) |
(+ (* -5 (/ (pow v 2) t)) (/ 1 t)) |
(* t (PI)) |
(+ (* -1 (* t (* (pow v 2) (PI)))) (* t (PI))) |
(+ (* -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)))))))) |
(* (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 1/2) (PI)) |
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (/ (sqrt 1/2) (PI))) |
(+ (* (pow v 2) (+ (* 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)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))) |
(+ (* (pow v 2) (+ (* 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)))) (+ (* 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)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))) |
(PI) |
(+ (PI) (* -1 (* (pow v 2) (PI)))) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -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))))))))) |
(* 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 (/ (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) t)) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(* -1 (* t (* (pow v 2) (PI)))) |
(* (pow v 2) (+ (* -1 (* t (PI))) (/ (* t (PI)) (pow v 2)))) |
(* 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))))))) |
(* v (* (PI) (sqrt -6))) |
(* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))) |
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))) |
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))) |
(* -1 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3)) |
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3)) |
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 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))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3)) |
(* -1 (* (pow v 2) (PI))) |
(* (pow v 2) (+ (* -1 (PI)) (/ (PI) (pow v 2)))) |
(* t (* (pow v 3) (* (PI) (sqrt -6)))) |
(* -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)))))))))) |
(* -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)) |
(* -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)) |
(* -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)))))))) |
(* -1 (* v (* (PI) (sqrt -6)))) |
(* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))) |
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))) |
(/ (sqrt -1/6) (* (pow v 3) (PI))) |
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3))) |
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3))) |
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 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))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 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 (sqrt 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) |
(* t (* (PI) (- 1 (pow v 2)))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | t | @ | inf | ((- 1 (* 5 (* v v))) (* 5 (* v v)) (* v v) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 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) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* (- 1 (* v v)) (PI)) t) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))) (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) (/ (sqrt 1/2) (PI)) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (PI) t) (* (PI) (- 1 (* v v))) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) |
| 6.0ms | t | @ | -inf | ((- 1 (* 5 (* v v))) (* 5 (* v v)) (* v v) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 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) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* (- 1 (* v v)) (PI)) t) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))) (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) (/ (sqrt 1/2) (PI)) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (PI) t) (* (PI) (- 1 (* v v))) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) |
| 5.0ms | t | @ | 0 | ((- 1 (* 5 (* v v))) (* 5 (* v v)) (* v v) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 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) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* (- 1 (* v v)) (PI)) t) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))) (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) (/ (sqrt 1/2) (PI)) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (PI) t) (* (PI) (- 1 (* v v))) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) |
| 3.0ms | v | @ | inf | ((- 1 (* 5 (* v v))) (* 5 (* v v)) (* v v) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 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) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* (- 1 (* v v)) (PI)) t) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))) (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) (/ (sqrt 1/2) (PI)) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (PI) t) (* (PI) (- 1 (* v v))) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) |
| 3.0ms | v | @ | -inf | ((- 1 (* 5 (* v v))) (* 5 (* v v)) (* v v) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 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) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (+ (* -5 (* v v)) 1) t) (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (* (* (- 1 (* v v)) (PI)) t) (* (/ (+ (* -5 (* v v)) 1) t) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))) (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) (/ (sqrt 1/2) (PI)) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/ (+ (* -5 (* v v)) 1) (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (* (PI) t) (* (PI) (- 1 (* v v))) (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 500 | 3759 |
| 1 | 1590 | 3299 |
| 2 | 6675 | 3289 |
| 0 | 8048 | 3166 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -5 (pow v 2))) |
(* 5 (pow v 2)) |
(pow v 2) |
(* 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)))) |
(+ (* -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))))) |
(/ (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 t) |
(+ (* -5 (/ (pow v 2) t)) (/ 1 t)) |
(* t (PI)) |
(+ (* -1 (* t (* (pow v 2) (PI)))) (* t (PI))) |
(+ (* -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)))))))) |
(* (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 1/2) (PI)) |
(+ (* (pow v 2) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))) (/ (sqrt 1/2) (PI))) |
(+ (* (pow v 2) (+ (* 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)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))) |
(+ (* (pow v 2) (+ (* 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)))) (+ (* 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)))) (+ (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* (PI) (sqrt 1/2)))) (+ (* 3/4 (/ 1 (* (PI) (sqrt 1/2)))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI)))))) (/ (sqrt 1/2) (PI))))) (/ (sqrt 1/2) (PI))) |
(PI) |
(+ (PI) (* -1 (* (pow v 2) (PI)))) |
(* -5 (pow v 2)) |
(* (pow v 2) (- (/ 1 (pow v 2)) 5)) |
(* -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))))))))) |
(* 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 (/ (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) t)) |
(* (pow v 2) (- (/ 1 (* t (pow v 2))) (* 5 (/ 1 t)))) |
(* -1 (* t (* (pow v 2) (PI)))) |
(* (pow v 2) (+ (* -1 (* t (PI))) (/ (* t (PI)) (pow v 2)))) |
(* 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))))))) |
(* v (* (PI) (sqrt -6))) |
(* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))) |
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))) |
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))) |
(* -1 (/ (sqrt -1/6) (* (pow v 3) (PI)))) |
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3)) |
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3)) |
(/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 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))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3)) |
(* -1 (* (pow v 2) (PI))) |
(* (pow v 2) (+ (* -1 (PI)) (/ (PI) (pow v 2)))) |
(* t (* (pow v 3) (* (PI) (sqrt -6)))) |
(* -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)))))))))) |
(* -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)) |
(* -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)) |
(* -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)))))))) |
(* -1 (* v (* (PI) (sqrt -6)))) |
(* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))) |
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))) |
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))) |
(/ (sqrt -1/6) (* (pow v 3) (PI))) |
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))))) (pow v 3))) |
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))) (pow v 3))) |
(* -1 (/ (+ (* -1 (/ (sqrt -1/6) (PI))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 2) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 4) (PI)))) (+ (* -1 (/ (sqrt -1/6) (* (pow v 6) (PI)))) (+ (* 1/2 (/ (+ 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))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (* (PI) (sqrt -1/6))))) (+ (* 1/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 1/36 (* (pow v 2) (* (PI) (sqrt -1/6)))) (+ (/ 1/36 (* (pow v 6) (* (PI) (sqrt -1/6)))) (* 1/36 (/ 1 (* (pow v 4) (* (PI) (sqrt -1/6)))))))))))))) (pow v 3))) |
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 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 (sqrt 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) |
(* t (* (PI) (- 1 (pow v 2)))) |
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2)))))) |
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -5 (pow v 2))) |
(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)) |
(pow v 2) |
(*.f64 v v) |
(* t (* (PI) (sqrt 2))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t) |
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2))))))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))) (*.f64 v v))) |
(+ (* 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))))))))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) t) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (*.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 v v)))) (*.f64 v v))) |
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(*.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 (* 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 (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(* (/ (+ 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) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) t) |
(* t (* (PI) (- 1 (pow v 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) t) |
(* (/ (- 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)))) |
(* (* 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 324 |
| 0 | 94 | 319 |
| 1 | 319 | 319 |
| 2 | 2269 | 314 |
| 0 | 8508 | 313 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) |
(*.f64 #s(literal 5 binary64) (*.f64 v v)) |
(*.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))) |
#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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) |
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) |
(*.f64 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
#s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) |
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(/.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 (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)) |
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) |
#s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) |
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(*.f64 (PI.f64) t) |
#s(approx (* (PI) (- 1 (* v v))) (PI.f64)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (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 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 (fma.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 (fma.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 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 (fma.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))) |
(*.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))) |
(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 (-.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.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 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.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 25 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.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 (pow.f64 (/.f64 (*.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 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.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 25 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 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 (/.f64 (*.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))) (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (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)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64))) (+.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 3 binary64))) (fma.f64 (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)) (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)) (fma.f64 (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64))) (+.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))) (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64))) (+.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))) (*.f64 (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)) (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64))) (+.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))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v))) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v))) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v))) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v))) (neg.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.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))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (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 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) #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)) #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 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)) (*.f64 #s(literal -5 binary64) (*.f64 v v))) #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)) #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 (-.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 #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 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.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 (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)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.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))) (*.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)) (*.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64))))) (*.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)) (+.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)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))))) (neg.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 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #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 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -5 binary64) (*.f64 v v)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.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)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)) #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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) #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)) #s(literal 1 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))) |
(/.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)) (*.f64 #s(literal -5 binary64) (*.f64 v v))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) #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) (*.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 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -5 binary64) (*.f64 v v))))) |
(/.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (+.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))) |
(/.f64 (fma.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)) #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 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -5 binary64) (*.f64 v v)))) (fma.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (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)))) #s(literal 1 binary64)))) |
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(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 t (PI.f64)))) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (*.f64 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 t (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 -1 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 (*.f64 t #s(literal 1 binary64)) (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 t (PI.f64)) |
(*.f64 (PI.f64) t) |
(*.f64 #s(literal 1 binary64) (*.f64 t (PI.f64))) |
#s(approx (* (PI) (- 1 (* v v))) (PI.f64)) |
(*.f64 (pow.f64 (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (* (PI) (- 1 (* v v))) (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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(approx (* (PI) (- 1 (* v v))) (PI.f64))) #s(literal 1 binary64)) |
(*.f64 #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)) #s(approx (* (PI) (- 1 (* v v))) (PI.f64)))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (neg.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(/.f64 (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(approx (* (PI) (- 1 (* v v))) (PI.f64))) |
(/.f64 (neg.f64 (pow.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (pow.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (pow.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
Compiled 39 253 to 2 984 computations (92.4% saved)
21 alts after pruning (14 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 944 | 8 | 952 |
| Fresh | 2 | 6 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 949 | 21 | 970 |
| Status | Accuracy | Program |
|---|---|---|
| 99.5% | (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.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)))) | |
| ✓ | 99.3% | (/.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))))) |
| ✓ | 98.7% | (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
| 98.8% | (/.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))) | |
| 98.8% | (/.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(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 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)) t) (*.f64 t (PI.f64)))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) | |
| 98.9% | (/.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))) | |
| 98.3% | (/.f64 (*.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) t) | |
| 98.9% | (/.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) t)) | |
| 98.7% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t #s(approx (* (PI) (- 1 (* v v))) (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)))) | |
| ✓ | 99.3% | (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)))))) |
| 98.7% | (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)))))) | |
| ✓ | 98.8% | (*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (neg.f64 (PI.f64))))) | |
| 98.9% | (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64)))))) | |
| 98.3% | (*.f64 #s(approx (/ (+ (* -5 (* v v)) 1) t) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) | |
| 99.2% | #s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (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)))) | |
| ✓ | 98.8% | #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))) |
| ✓ | 98.7% | #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)))) |
| ✓ | 98.7% | #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))))) |
| 98.4% | #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)) t) (PI.f64))) |
Compiled 1 787 to 692 computations (61.3% 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)) t) (PI.f64))) |
(*.f64 #s(approx (/ (+ (* -5 (* v v)) 1) t) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.f64 (*.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) t) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (neg.f64 (PI.f64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (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 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) 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 (*.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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 t (PI.f64)))) (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)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64))) (*.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)) t) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t #s(approx (* (PI) (- 1 (* v v))) (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 (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 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 (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 (*.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 #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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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) (*.f64 v v))) (*.f64 t (PI.f64))))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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 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 (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 #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)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.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)) (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))))) |
#s(approx (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))) (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)))) |
| 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))))) |
5 calls:
| 14.0ms | (*.f64 v v) |
| 13.0ms | t |
| 11.0ms | (/.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 | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | v |
| 99.6% | 1 | t |
| 99.6% | 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)))) |
| 99.6% | 1 | (*.f64 v v) |
| 99.6% | 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)))) |
#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)) t) (PI.f64))) |
(*.f64 #s(approx (/ (+ (* -5 (* v v)) 1) t) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.f64 (*.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) t) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (neg.f64 (PI.f64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (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 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) 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 (*.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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 t (PI.f64)))) (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)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64))) (*.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)) t) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t #s(approx (* (PI) (- 1 (* v v))) (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 (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 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 (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 (*.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 #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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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) (*.f64 v v))) (*.f64 t (PI.f64))))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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 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 (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 #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)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.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 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
5 calls:
| 21.0ms | t |
| 15.0ms | (*.f64 (PI.f64) t) |
| 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 | v |
| 8.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | v |
| 99.6% | 1 | t |
| 99.6% | 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)))) |
| 99.6% | 1 | (*.f64 v v) |
| 99.6% | 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)))) |
#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)) t) (PI.f64))) |
(*.f64 #s(approx (/ (+ (* -5 (* v v)) 1) t) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.f64 (*.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) t) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (neg.f64 (PI.f64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (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 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) 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 (*.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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 t (PI.f64)))) (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)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64))) (*.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)) t) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t #s(approx (* (PI) (- 1 (* v v))) (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 (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 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 (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 (*.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 #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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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) (*.f64 v v))) (*.f64 t (PI.f64))))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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 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 (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 #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 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.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:
| 19.0ms | (*.f64 v v) |
| 13.0ms | (/.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 | t |
| 10.0ms | (*.f64 (PI.f64) t) |
| 9.0ms | 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)) t) (PI.f64))) |
(*.f64 #s(approx (/ (+ (* -5 (* v v)) 1) t) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.f64 (*.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) t) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (neg.f64 (PI.f64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (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 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) 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 (*.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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 t (PI.f64)))) (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)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64))) (*.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)) t) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t #s(approx (* (PI) (- 1 (* v v))) (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 (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 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 (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 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
5 calls:
| 12.0ms | (/.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 | (*.f64 (PI.f64) t) |
| 8.0ms | t |
| 7.0ms | v |
| 6.0ms | (*.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)) t) (PI.f64))) |
(*.f64 #s(approx (/ (+ (* -5 (* v v)) 1) t) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.f64 (*.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) t) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (neg.f64 (PI.f64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (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 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) 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 (*.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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 t (PI.f64)))) (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)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64))) (*.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)) t) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t #s(approx (* (PI) (- 1 (* v v))) (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 (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:
| 13.0ms | (*.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)))) |
| 7.0ms | t |
| 7.0ms | v |
| 6.0ms | (*.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)) t) (PI.f64))) |
(*.f64 #s(approx (/ (+ (* -5 (* v v)) 1) t) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.f64 (*.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) t) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (neg.f64 (PI.f64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (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 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) 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 (*.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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 t (PI.f64)))) (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)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64))) (*.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)) t) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t #s(approx (* (PI) (- 1 (* v v))) (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)))) |
| Outputs |
|---|
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
5 calls:
| 11.0ms | (/.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)))) |
| 9.0ms | t |
| 7.0ms | (*.f64 (PI.f64) t) |
| 7.0ms | v |
| 6.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | v |
| 99.0% | 1 | t |
| 99.0% | 1 | (*.f64 v v) |
| 99.0% | 1 | (*.f64 (PI.f64) 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)))) |
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)) t) (PI.f64))) |
(*.f64 #s(approx (/ (+ (* -5 (* v v)) 1) t) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.f64 (*.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) t) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (neg.f64 (PI.f64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (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 #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 (PI.f64) t)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 #s(approx (* (PI) (- 1 (* v v))) (PI.f64))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) 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 (*.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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 t (PI.f64)))) (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)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) #s(approx (* (* (- 1 (* v v)) (PI)) t) (*.f64 t (PI.f64)))) |
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 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)))) |
| Outputs |
|---|
(/.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))) |
5 calls:
| 7.0ms | (*.f64 v v) |
| 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 | t |
| 6.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | v |
| 98.9% | 1 | t |
| 98.9% | 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)))) |
| 98.9% | 1 | (*.f64 v v) |
| 98.9% | 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)) t) (PI.f64))) |
(*.f64 #s(approx (/ (+ (* -5 (* v v)) 1) t) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.f64 (*.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) t) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (neg.f64 (PI.f64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64)))))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64)))))) |
5 calls:
| 8.0ms | (*.f64 (PI.f64) t) |
| 4.0ms | (/.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)))) |
| 4.0ms | v |
| 4.0ms | t |
| 3.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 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)))) |
| 98.9% | 1 | v |
| 98.9% | 1 | t |
| 98.9% | 1 | (*.f64 v v) |
| 98.9% | 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)) t) (PI.f64))) |
(*.f64 #s(approx (/ (+ (* -5 (* v v)) 1) t) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.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 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.f64 (*.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) t) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(approx (/ -1 (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (neg.f64 (PI.f64))))) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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)))) |
5 calls:
| 5.0ms | v |
| 4.0ms | (/.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)))) |
| 4.0ms | (*.f64 (PI.f64) t) |
| 3.0ms | t |
| 3.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 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)))) |
| 98.8% | 1 | v |
| 98.8% | 1 | t |
| 98.8% | 1 | (*.f64 v v) |
| 98.8% | 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)) t) (PI.f64))) |
(*.f64 #s(approx (/ (+ (* -5 (* v v)) 1) t) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) |
(/.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 (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))) |
5 calls:
| 4.0ms | 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)))) |
| 3.0ms | (*.f64 (PI.f64) t) |
| 2.0ms | t |
| 2.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | v |
| 98.8% | 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)))) |
| 98.8% | 1 | (*.f64 v v) |
| 98.8% | 1 | t |
| 98.8% | 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)) t) (PI.f64))) |
(*.f64 #s(approx (/ (+ (* -5 (* v v)) 1) t) (/.f64 #s(literal 1 binary64) t)) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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:
| 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)))) |
| 2.0ms | v |
| 2.0ms | (*.f64 (PI.f64) t) |
| 2.0ms | t |
| 2.0ms | (*.f64 v v) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | v |
| 98.8% | 1 | t |
| 98.8% | 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)))) |
| 98.8% | 1 | (*.f64 v v) |
| 98.8% | 1 | (*.f64 (PI.f64) t) |
Compiled 36 to 30 computations (16.7% saved)
Total -0.1b remaining (-17.6%)
Threshold costs -0.1b (-17.6%)
| 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 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))) |
5 calls:
| 4.0ms | (/.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 | t |
| 1.0ms | (*.f64 (PI.f64) t) |
| 1.0ms | v |
| 1.0ms | (*.f64 v v) |
| 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)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 355 |
| 1 | 122 | 355 |
| 2 | 128 | 355 |
| 3 | 132 | 355 |
| 4 | 134 | 355 |
| 1× | saturated |
| 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)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.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 (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 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 (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 (-.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 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(/.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)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64)))))) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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 (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))) |
#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 t (PI.f64)) (sqrt.f64 #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 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (PI.f64)) (*.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)) t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.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 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (PI.f64)) (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)) t)) |
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.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 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 (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 t (PI.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 (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 (sqrt.f64 #s(approx (* 2 (- 1 (* 3 (* v v)))) #s(literal 2 binary64))) (PI.f64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)) |
(/.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)) t) #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64)))))) |
(*.f64 #s(approx (/ 1 (* (* (PI) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) t)) |
(*.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (/.f64 #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 #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))) (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)) #s(approx (* (* (* (- 1 (* v v)) (PI)) t) (sqrt (+ (* -6 (* v v)) 2))) (*.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)) (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 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (PI.f64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 605 | 5099 |
| 1 | 1976 | 4349 |
| 0 | 8301 | 4226 |
| 0 | 56 | 325 |
| 0 | 92 | 317 |
| 1 | 329 | 316 |
| 2 | 2520 | 314 |
| 0 | 8497 | 310 |
| 0 | 62 | 343 |
| 0 | 99 | 338 |
| 1 | 333 | 337 |
| 2 | 2392 | 334 |
| 0 | 8738 | 330 |
| 0 | 60 | 324 |
| 0 | 94 | 319 |
| 1 | 319 | 319 |
| 2 | 2269 | 314 |
| 0 | 8508 | 313 |
| 0 | 195 | 1341 |
| 1 | 576 | 1241 |
| 2 | 2413 | 1126 |
| 0 | 8026 | 1082 |
| 0 | 660 | 5518 |
| 1 | 2185 | 4870 |
| 0 | 8435 | 4688 |
| 0 | 19 | 78 |
| 0 | 32 | 78 |
| 1 | 128 | 78 |
| 2 | 923 | 72 |
| 0 | 8720 | 66 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 006 to 474 computations (52.9% saved)
(negabs t)
(abs v)
Compiled 1 534 to 734 computations (52.2% saved)
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