
Time bar (total: 10.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 25% | 24.9% | 74.8% | 0.2% | 0% | 0% | 0% | 6 |
| 25% | 24.9% | 74.8% | 0.2% | 0% | 0% | 0% | 7 |
| 25% | 24.9% | 74.8% | 0.2% | 0% | 0% | 0% | 8 |
| 37.5% | 37.4% | 62.3% | 0.2% | 0% | 0% | 0% | 9 |
| 40.6% | 40.5% | 59.2% | 0.2% | 0% | 0% | 0% | 10 |
| 51.7% | 48.3% | 45.2% | 0.2% | 0% | 6.2% | 0% | 11 |
| 51.7% | 48.3% | 45.2% | 0.2% | 0% | 6.2% | 0% | 12 |
Compiled 16 to 14 computations (12.5% saved)
| 1.8s | 8 256× | 0 | valid |
| 187.0ms | 2 031× | 0 | invalid |
ival-div: 424.0ms (47% of total)ival-mult: 343.0ms (38% of total)ival-sqrt: 80.0ms (8.9% of total)ival-sub: 44.0ms (4.9% of total)ival-true: 8.0ms (0.9% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 109 | 0 | - | 2 | (-1.55130852987246e+78 -1.2161689918439345e+143 -6.504006276687766e-214 4.2851723628671035e-55 -1.0807323925250055e-261) | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
| 26 | 0 | - | 0 | - | (*.f64 (*.f64 x y) z) |
| 26 | 0 | - | 0 | - | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 2 | 0 | - | 0 | - | (-.f64 (*.f64 z z) (*.f64 t a)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 t a) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) | oflow-rescue | 96 | 0 |
| ↳ | (-.f64 (*.f64 z z) (*.f64 t a)) | overflow | 96 | |
| ↳ | (*.f64 t a) | overflow | 26 | |
| ↳ | (*.f64 z z) | overflow | 76 | |
/.f64 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | o/n | 21 | 0 |
| ↳ | (*.f64 x y) | overflow | 33 | |
| ↳ | (*.f64 (*.f64 x y) z) | overflow | 43 | |
*.f64 | (*.f64 (*.f64 x y) z) | n*u | 16 | 0 |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) | uflow-rescue | 11 | 0 |
| ↳ | (-.f64 (*.f64 z z) (*.f64 t a)) | underflow | 11 | |
| ↳ | (*.f64 t a) | underflow | 28 | |
| ↳ | (*.f64 z z) | underflow | 57 | |
*.f64 | (*.f64 (*.f64 x y) z) | n*o | 10 | 0 |
/.f64 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | u/n | 5 | 0 |
| ↳ | (*.f64 x y) | underflow | 30 | |
| ↳ | (*.f64 (*.f64 x y) z) | underflow | 32 | |
-.f64 | (-.f64 (*.f64 z z) (*.f64 t a)) | nan-rescue | 2 | 0 |
| ↳ | (*.f64 z z) | overflow | 76 | |
| ↳ | (*.f64 t a) | overflow | 26 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 99 | 2 |
| - | 27 | 128 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 99 | 0 | 2 |
| - | 27 | 0 | 128 |
| number | freq |
|---|---|
| 0 | 130 |
| 1 | 92 |
| 2 | 33 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 50.0ms | 512× | 0 | valid |
Compiled 114 to 40 computations (64.9% saved)
ival-mult: 16.0ms (62.5% of total)ival-sqrt: 4.0ms (15.6% of total)ival-div: 3.0ms (11.7% of total)ival-sub: 2.0ms (7.8% 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 | 93 | 295 |
| 1 | 260 | 285 |
| 2 | 625 | 285 |
| 3 | 1666 | 285 |
| 4 | 4397 | 285 |
| 5 | 6519 | 285 |
| 0 | 12 | 14 |
| 0 | 19 | 14 |
| 1 | 31 | 14 |
| 2 | 59 | 14 |
| 3 | 89 | 14 |
| 4 | 119 | 14 |
| 5 | 147 | 14 |
| 6 | 196 | 14 |
| 7 | 250 | 14 |
| 8 | 436 | 14 |
| 9 | 978 | 14 |
| 10 | 1339 | 14 |
| 11 | 1638 | 14 |
| 12 | 2655 | 14 |
| 13 | 2846 | 14 |
| 14 | 2868 | 14 |
| 15 | 2868 | 14 |
| 0 | 2868 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(/.f64 (*.f64 z (*.f64 y x)) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(negabs z)
(negabs y)
(negabs x)
(sort x y)
(sort t a)
Compiled 14 to 12 computations (14.3% saved)
Compiled 0 to 5 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 62.3% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 0 | 19 | 48 |
| 1 | 31 | 48 |
| 2 | 59 | 48 |
| 3 | 89 | 48 |
| 4 | 119 | 48 |
| 5 | 147 | 48 |
| 6 | 196 | 48 |
| 7 | 250 | 48 |
| 8 | 436 | 48 |
| 9 | 978 | 48 |
| 10 | 1339 | 48 |
| 11 | 1638 | 48 |
| 12 | 2655 | 48 |
| 13 | 2846 | 48 |
| 14 | 2868 | 48 |
| 15 | 2868 | 48 |
| 0 | 2868 | 48 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
x |
y |
z |
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
(-.f64 (*.f64 z z) (*.f64 t a)) |
(*.f64 z z) |
(*.f64 t a) |
t |
a |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(/.f64 (*.f64 z (*.f64 y x)) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 z (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
z |
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(-.f64 (*.f64 z z) (*.f64 t a)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(*.f64 z z) |
(*.f64 t a) |
(*.f64 a t) |
t |
a |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.40625000000000006 | (-.f64 (*.f64 z z) (*.f64 t a)) | |
| accuracy | 6.043140901354105 | (*.f64 (*.f64 x y) z) | |
| accuracy | 6.310466892230717 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| accuracy | 25.223948821594618 | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
| 24.0ms | 256× | 0 | valid |
Compiled 50 to 14 computations (72% saved)
ival-mult: 7.0ms (59.1% of total)ival-sqrt: 2.0ms (16.9% of total)ival-sub: 1.0ms (8.4% of total)ival-div: 1.0ms (8.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
(-.f64 (*.f64 z z) (*.f64 t a)) |
| Outputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x y) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* -1 (* a t)) |
(- (pow z 2) (* a t)) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* t (- (/ (pow z 2) t) a)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* a (- (/ (pow z 2) a) t)) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | a | @ | -inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a))) |
| 6.0ms | z | @ | 0 | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a))) |
| 5.0ms | t | @ | -inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a))) |
| 3.0ms | t | @ | inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a))) |
| 3.0ms | x | @ | 0 | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 495 | 2495 |
| 1 | 1609 | 2432 |
| 2 | 6518 | 2338 |
| 0 | 8383 | 2236 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x y) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* -1 (* a t)) |
(- (pow z 2) (* a t)) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* t (- (/ (pow z 2) t) a)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* a (- (/ (pow z 2) a) t)) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
| Outputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(*.f64 (*.f64 z (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z z)) (*.f64 x (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 (pow.f64 t #s(literal 3 binary64)))) (pow.f64 a #s(literal 3 binary64))) y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (*.f64 z z)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 a t)) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) x) (sqrt.f64 #s(literal -1 binary64))) y (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 y (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 (pow.f64 t #s(literal 3 binary64)))) (pow.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (neg.f64 t) a)) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))))) (*.f64 z z) (fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 (pow.f64 t #s(literal 3 binary64)))) (pow.f64 a #s(literal 3 binary64))) y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))))) (*.f64 z z) (*.f64 (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))))) (*.f64 z z))) z) |
(* (sqrt (* a t)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(fma.f64 (*.f64 (*.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 z z) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 z z) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 z (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 z z) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* a t)) |
(*.f64 (neg.f64 t) a) |
(- (pow z 2) (* a t)) |
(fma.f64 (neg.f64 t) a (*.f64 z z)) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 y x) t) a) z) (*.f64 y x)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(fma.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 a a) #s(literal -3/4 binary64))) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) #s(literal -1/2 binary64) y) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 y x) t) a) z))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 a a) #s(literal -3/4 binary64))) (pow.f64 z #s(literal 4 binary64))) (/.f64 (fma.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) #s(literal -3/4 binary64)) #s(literal -1/2 binary64))) (pow.f64 z #s(literal 6 binary64))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 y x) t) a) z) (*.f64 y x))) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (/.f64 (/.f64 t z) z) a) z) |
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(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) a) (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 t t) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64)))) a (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x (fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 t (pow.f64 a #s(literal 7 binary64)))) (*.f64 y x)) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) a) #s(literal -1/4 binary64)) (pow.f64 t #s(literal 3 binary64))) z (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 t #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 z (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))) a) |
(* a (- (/ (pow z 2) a) t)) |
(*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(fma.f64 x (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 y x) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) z) (sqrt.f64 (/.f64 t a)) (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64))))))) (pow.f64 a #s(literal 3 binary64))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) #s(literal 1/2 binary64)) (*.f64 z z) (sqrt.f64 (/.f64 t a)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) #s(literal 1/2 binary64)) (*.f64 z z) (sqrt.f64 (/.f64 t a))))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/16 binary64)) (pow.f64 z #s(literal 6 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) #s(literal 1/2 binary64)) (*.f64 z z) (sqrt.f64 (/.f64 t a))))) (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 0 | 19 | 37 |
| 1 | 56 | 37 |
| 2 | 320 | 37 |
| 3 | 2703 | 37 |
| 0 | 8482 | 37 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
(-.f64 (*.f64 z z) (*.f64 t a)) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) (*.f64 (neg.f64 z) y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) (*.f64 z x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) (*.f64 z x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) (*.f64 z y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) (*.f64 z y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) x) #s(literal -1 binary64)) (*.f64 z y)) |
(*.f64 (/.f64 (*.f64 z (*.f64 y x)) (sqrt.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 a t (*.f64 z z)))) |
(*.f64 (/.f64 (*.f64 z (*.f64 y x)) (hypot.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 a t) #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64))))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 z x)) y) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) y) (*.f64 z x)) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) x) (*.f64 z y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) z) y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y)) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) (*.f64 z (*.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (*.f64 y x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) (*.f64 z (*.f64 y x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) (*.f64 z (*.f64 y x))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 z (*.f64 y x)) (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/4 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64)) (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y)) |
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (/.f64 (*.f64 z x) (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64))) (/.f64 y (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (*.f64 y x) (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64))) (/.f64 z (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (*.f64 z y) (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64))) (/.f64 x (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (/.f64 z (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64))) (/.f64 (*.f64 y x) (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64))) (/.f64 (*.f64 z x) (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64))) (/.f64 (*.f64 z y) (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
(*.f64 (*.f64 z x) (*.f64 y (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) |
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 (neg.f64 z) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 z) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 z y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 (neg.f64 x) z) y)) |
(*.f64 (neg.f64 z) (/.f64 (*.f64 (neg.f64 x) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) |
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(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) |
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(fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t)) #s(literal 3 binary64)) (pow.f64 z #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t)) (-.f64 (*.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 a #s(literal -1 binary64)) t (*.f64 z z)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 z (fma.f64 a t (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (fma.f64 a t (*.f64 z z))))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 a t) (*.f64 z z)) |
(fma.f64 (neg.f64 t) a (*.f64 z z)) |
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 z z) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 a t (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (fma.f64 a t (*.f64 z z))))) |
(fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 a t) #s(literal -1 binary64) (*.f64 z z)) |
(fma.f64 a (neg.f64 t) (*.f64 z z)) |
(fma.f64 t (neg.f64 a) (*.f64 z z)) |
(fma.f64 (*.f64 z z) (/.f64 (*.f64 z z) (fma.f64 a t (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (fma.f64 a t (*.f64 z z))))) |
(fma.f64 (*.f64 z z) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 z (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 a t (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (fma.f64 a t (*.f64 z z))))) |
(fma.f64 z z (*.f64 (neg.f64 a) t)) |
(sqrt.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 2 binary64))) |
(-.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 a t)) |
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 a t (*.f64 z z))) (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (fma.f64 a t (*.f64 z z)))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 a t) (*.f64 z z))) |
(-.f64 (*.f64 z z) (*.f64 a t)) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 a t (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (fma.f64 a t (*.f64 z z))))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (neg.f64 a) t) (*.f64 z z)) |
(+.f64 (*.f64 z z) (*.f64 (neg.f64 a) t)) |
Compiled 14 761 to 1 862 computations (87.4% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 427 | 14 | 441 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 428 | 14 | 442 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 60.1% | (/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 60.8% | (/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| ▶ | 36.7% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
| 40.7% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| 59.9% | (/.f64 (*.f64 (*.f64 x y) z) (exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #s(literal -1/2 binary64))))) | |
| ▶ | 69.8% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
| 18.5% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| 62.3% | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) | |
| ▶ | 66.2% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
| 61.0% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) | |
| 60.5% | (*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) | |
| 61.1% | (*.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 z) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) | |
| 57.8% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 y x) t) a) z) (*.f64 y x))) | |
| ▶ | 13.8% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
Compiled 490 to 394 computations (19.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (*.f64 (*.f64 z y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| cost-diff | 0 | (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| cost-diff | 0 | (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 0 | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) | |
| cost-diff | 0 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 267 |
| 0 | 69 | 267 |
| 1 | 119 | 267 |
| 2 | 192 | 267 |
| 3 | 283 | 267 |
| 4 | 339 | 267 |
| 5 | 379 | 267 |
| 6 | 534 | 267 |
| 7 | 664 | 267 |
| 8 | 1098 | 267 |
| 9 | 2498 | 267 |
| 10 | 3889 | 267 |
| 11 | 4564 | 267 |
| 12 | 4932 | 267 |
| 13 | 5489 | 267 |
| 14 | 5971 | 267 |
| 15 | 7060 | 267 |
| 16 | 7604 | 267 |
| 17 | 7616 | 267 |
| 18 | 7616 | 267 |
| 19 | 7616 | 267 |
| 20 | 7616 | 267 |
| 21 | 7646 | 267 |
| 22 | 7654 | 267 |
| 23 | 7654 | 267 |
| 24 | 7758 | 267 |
| 0 | 8102 | 267 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
x |
y |
z |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(/.f64 a z) |
a |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
x |
y |
z |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)) |
(*.f64 (neg.f64 t) a) |
(neg.f64 t) |
t |
a |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) |
(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
z |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(neg.f64 a) |
a |
t |
(*.f64 z z) |
y |
x |
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(*.f64 (*.f64 z y) x) |
(*.f64 z y) |
z |
y |
x |
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
(-.f64 (*.f64 z z) (*.f64 t a)) |
(*.f64 z z) |
(*.f64 t a) |
t |
a |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(/.f64 (*.f64 z (*.f64 y x)) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(*.f64 (*.f64 x y) z) |
(*.f64 z (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
z |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(/.f64 a z) |
a |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(/.f64 (*.f64 z (*.f64 y x)) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 z (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
z |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)) |
(*.f64 (neg.f64 t) a) |
(neg.f64 t) |
t |
a |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) |
(/.f64 (*.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
z |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(neg.f64 a) |
a |
t |
(*.f64 z z) |
y |
x |
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(*.f64 (*.f64 z y) x) |
(*.f64 z (*.f64 y x)) |
(*.f64 z y) |
z |
y |
x |
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(-.f64 (*.f64 z z) (*.f64 t a)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(*.f64 z z) |
(*.f64 t a) |
(*.f64 a t) |
t |
a |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.40625000000000006 | (-.f64 (*.f64 z z) (*.f64 t a)) | |
| accuracy | 6.310466892230717 | (/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| accuracy | 7.462187912851229 | (*.f64 (*.f64 z y) x) | |
| accuracy | 25.223948821594618 | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) | |
| accuracy | 0.078125 | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) | |
| accuracy | 0.0859375 | (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| accuracy | 2.3043126078764518 | (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) | |
| accuracy | 25.223948821594618 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| accuracy | 6.043140901354105 | (*.f64 (*.f64 x y) z) | |
| accuracy | 6.310466892230717 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) | |
| accuracy | 25.223948821594618 | (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) | |
| accuracy | 36.13669707051425 | #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)) | |
| accuracy | 0.0 | (*.f64 (neg.f64 y) x) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 55.15830009854703 | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) | |
| accuracy | 1.4915823224887212 | (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) | |
| accuracy | 6.043140901354105 | (*.f64 (*.f64 x y) z) | |
| accuracy | 6.310466892230717 | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) | |
| accuracy | 23.508401465936007 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
| 111.0ms | 256× | 0 | valid |
Compiled 237 to 33 computations (86.1% saved)
ival-div: 26.0ms (42.1% of total)ival-mult: 19.0ms (30.7% of total)ival-add: 9.0ms (14.6% of total)ival-sqrt: 3.0ms (4.9% of total)ival-neg: 3.0ms (4.9% of total)ival-sub: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) |
(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(*.f64 (*.f64 z y) x) |
(*.f64 z y) |
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)) |
(-.f64 (*.f64 z z) (*.f64 t a)) |
| Outputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x y) |
(* -1 (* x y)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* -1 y) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* y z) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ y (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))))))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1)))))))))) |
(* -1/2 (/ (* a t) z)) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(* -1 (* a t)) |
(- (pow z 2) (* a t)) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
y |
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) |
(+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t y)) (pow z 2))))) |
(+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t y)) (pow z 2)))))) |
1 |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(+ (* -1 y) (* -1/2 (/ (* a (* t y)) (pow z 2)))) |
(+ (* -1 y) (+ (* -1/2 (/ (* a (* t y)) (pow z 2))) (* 1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))))) |
(+ (* -1 y) (+ (* -1/2 (/ (* a (* t y)) (pow z 2))) (+ (* 1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) |
-1 |
(- (* -1/2 (/ (* a t) (pow z 2))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(+ y (* t (+ (* -1/2 (* t (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a y) (pow z 2)))))) |
(+ y (* t (+ (* 1/2 (/ (* a y) (pow z 2))) (* t (+ (* -1/2 (* t (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) |
(+ 1 (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 2)))))) |
(+ 1 (* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* t (- (/ (pow z 2) t) a)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* y (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4)))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* y (* (pow z 5) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* (pow z 5) (sqrt -1))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(+ y (* a (+ (* -1/2 (* a (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t y) (pow z 2)))))) |
(+ y (* a (+ (* 1/2 (/ (* t y) (pow z 2))) (* a (+ (* -1/2 (* a (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) |
(+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2)))))) |
(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* a (- (/ (pow z 2) a) t)) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* y (* (pow z 5) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | x | @ | -inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (sqrt (- (* z z) (* t a))) (+ (* (* -1/2 t) (/ a z)) z) (- (* z z) (* t a)) (- (* z z) (* t a))) |
| 14.0ms | a | @ | 0 | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (sqrt (- (* z z) (* t a))) (+ (* (* -1/2 t) (/ a z)) z) (- (* z z) (* t a)) (- (* z z) (* t a))) |
| 4.0ms | z | @ | 0 | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (sqrt (- (* z z) (* t a))) (+ (* (* -1/2 t) (/ a z)) z) (- (* z z) (* t a)) (- (* z z) (* t a))) |
| 3.0ms | y | @ | -inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (sqrt (- (* z z) (* t a))) (+ (* (* -1/2 t) (/ a z)) z) (- (* z z) (* t a)) (- (* z z) (* t a))) |
| 3.0ms | z | @ | -inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (sqrt (- (* z z) (* t a))) (+ (* (* -1/2 t) (/ a z)) z) (- (* z z) (* t a)) (- (* z z) (* t a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 769 | 4972 |
| 1 | 2524 | 4800 |
| 2 | 6615 | 4767 |
| 0 | 8157 | 4563 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x y) |
(* -1 (* x y)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* -1 y) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* y z) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ y (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))))))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1)))))))))) |
(* -1/2 (/ (* a t) z)) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(* -1 (* a t)) |
(- (pow z 2) (* a t)) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
y |
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) |
(+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t y)) (pow z 2))))) |
(+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t y)) (pow z 2)))))) |
1 |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(+ (* -1 y) (* -1/2 (/ (* a (* t y)) (pow z 2)))) |
(+ (* -1 y) (+ (* -1/2 (/ (* a (* t y)) (pow z 2))) (* 1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))))) |
(+ (* -1 y) (+ (* -1/2 (/ (* a (* t y)) (pow z 2))) (+ (* 1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) |
-1 |
(- (* -1/2 (/ (* a t) (pow z 2))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(+ y (* t (+ (* -1/2 (* t (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a y) (pow z 2)))))) |
(+ y (* t (+ (* 1/2 (/ (* a y) (pow z 2))) (* t (+ (* -1/2 (* t (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) |
(+ 1 (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 2)))))) |
(+ 1 (* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* t (- (/ (pow z 2) t) a)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* y (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4)))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* y (* (pow z 5) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* (pow z 5) (sqrt -1))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(+ y (* a (+ (* -1/2 (* a (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t y) (pow z 2)))))) |
(+ y (* a (+ (* 1/2 (/ (* t y) (pow z 2))) (* a (+ (* -1/2 (* a (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) |
(+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2)))))) |
(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* a (- (/ (pow z 2) a) t)) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* y (* (pow z 5) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
| Outputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* -1 y) |
(neg.f64 y) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 z y)) |
(* y z) |
(*.f64 z y) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (pow.f64 t #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 z z)) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (*.f64 a t)) (*.f64 (*.f64 y (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))))) (*.f64 z z) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) (*.f64 y (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 a t))) (*.f64 x (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (pow.f64 t #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (neg.f64 t) a)) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 z z) (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (pow.f64 t #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))))))) (*.f64 z z))) (*.f64 z z) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* (sqrt (* a t)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(fma.f64 (*.f64 (*.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 z z) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 z z) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 z z) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) |
(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ y (sqrt -1)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (pow.f64 t #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 z z)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (*.f64 a t))))) (*.f64 z z) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 a t))) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (pow.f64 t #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (neg.f64 t) a)) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 z z) (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (pow.f64 t #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))))) (*.f64 z z))) (*.f64 z z) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (pow.f64 t #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (*.f64 a t)) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
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z |
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1 |
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-1 |
#s(literal -1 binary64) |
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(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 z z)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 z z)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 a)) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* y (* (pow z 5) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 a (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) z) y) (sqrt.f64 (/.f64 t a)) (*.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) y) (sqrt.f64 #s(literal -1 binary64))))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64)))) (pow.f64 z #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 a (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) z) (sqrt.f64 (/.f64 t a)))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(*.f64 (fma.f64 (/.f64 t z) #s(literal 1/2 binary64) (/.f64 (neg.f64 z) a)) (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(*.f64 (-.f64 (*.f64 z (/.f64 z a)) t) a) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 206 |
| 0 | 69 | 206 |
| 1 | 199 | 206 |
| 2 | 989 | 206 |
| 0 | 8535 | 206 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) |
(/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(*.f64 (*.f64 z y) x) |
(*.f64 z y) |
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)) |
(-.f64 (*.f64 z z) (*.f64 t a)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) y) x) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) |
(*.f64 (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)) (*.f64 z x)) y) |
(*.f64 (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)) (*.f64 x z)) y) |
(*.f64 (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)) (*.f64 z y)) x) |
(*.f64 (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)) z) (*.f64 y x)) |
(*.f64 (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)) (*.f64 y x)) z) |
(*.f64 (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)) y) (*.f64 z x)) |
(*.f64 (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)) y) (*.f64 x z)) |
(*.f64 (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)) x) (*.f64 z y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) z)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 z y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 z (*.f64 y x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 z (*.f64 y x))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 z y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64)) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64)) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (/.f64 (*.f64 z y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (*.f64 z x) (*.f64 y (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 x z) (*.f64 y (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 z y) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) |
(*.f64 (*.f64 (neg.f64 z) y) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)) (*.f64 z (*.f64 y x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 y x)) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (*.f64 z y) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) |
(*.f64 (*.f64 z y) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 z (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) |
(*.f64 (*.f64 z (*.f64 y x)) (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64))) |
(*.f64 z (*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) |
(*.f64 z (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)) (*.f64 y x))) |
(*.f64 z (/.f64 (*.f64 y x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (*.f64 y x) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 y (*.f64 z (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) |
(*.f64 y (*.f64 (*.f64 z x) (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)))) |
(*.f64 y (/.f64 x (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) |
(*.f64 x (*.f64 (*.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) |
(*.f64 x (/.f64 (*.f64 z y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 z (*.f64 y x))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 (*.f64 (neg.f64 y) x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 z (*.f64 y x)))) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(/.f64 (*.f64 z (*.f64 y x)) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(/.f64 (*.f64 y x) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 z (*.f64 y x))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 z (*.f64 y x)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 y) x)) z) |
(*.f64 (neg.f64 (*.f64 (neg.f64 z) y)) x) |
(*.f64 (neg.f64 (neg.f64 x)) (*.f64 z y)) |
(*.f64 (*.f64 z x) y) |
(*.f64 (*.f64 x z) y) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 z) y)) |
(*.f64 (*.f64 (neg.f64 z) y) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) z)) |
(*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y x))) |
(*.f64 (neg.f64 z) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 z y) (*.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 z y) (neg.f64 (neg.f64 x))) |
(*.f64 (*.f64 z y) x) |
(*.f64 (*.f64 (neg.f64 y) x) (neg.f64 z)) |
(*.f64 (*.f64 z (*.f64 y x)) #s(literal 1 binary64)) |
(*.f64 z (neg.f64 (*.f64 (neg.f64 y) x))) |
(*.f64 z (*.f64 y x)) |
(*.f64 (*.f64 y x) z) |
(*.f64 y (*.f64 (*.f64 z x) #s(literal 1 binary64))) |
(*.f64 y (*.f64 (*.f64 x z) #s(literal 1 binary64))) |
(*.f64 y (*.f64 z x)) |
(*.f64 y (*.f64 x z)) |
(*.f64 x (*.f64 (*.f64 z y) #s(literal 1 binary64))) |
(*.f64 x (neg.f64 (*.f64 (neg.f64 z) y))) |
(*.f64 x (*.f64 z y)) |
(neg.f64 (*.f64 (*.f64 (neg.f64 y) x) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) y) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y (*.f64 x #s(literal 1 binary64))) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
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(fma.f64 t (neg.f64 a) (*.f64 z z)) |
(fma.f64 z z (*.f64 (neg.f64 a) t)) |
(-.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 a t)) |
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 a t (*.f64 z z))) (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (fma.f64 a t (*.f64 z z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (neg.f64 (fma.f64 a t (*.f64 z z)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (fma.f64 a t (*.f64 z z))))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 a t) (*.f64 z z))) |
(-.f64 (*.f64 z z) (*.f64 a t)) |
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 a t (*.f64 z z))) (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (neg.f64 (fma.f64 a t (*.f64 z z))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (neg.f64 (fma.f64 a t (*.f64 z z)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (fma.f64 a t (*.f64 z z)))))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (neg.f64 a) t) (*.f64 z z)) |
(+.f64 (*.f64 z z) (*.f64 (neg.f64 a) t)) |
Compiled 20 759 to 2 428 computations (88.3% saved)
24 alts after pruning (22 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 654 | 20 | 674 |
| Fresh | 7 | 2 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 664 | 24 | 688 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 37.0% | (/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
| 58.0% | (/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) | |
| 33.8% | (/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) | |
| 40.7% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| 36.8% | (/.f64 (*.f64 (*.f64 x y) z) (exp.f64 (*.f64 (log.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) #s(literal 1/2 binary64)))) | |
| 69.4% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))) | |
| 41.2% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))) (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)))))))) | |
| 18.5% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| 27.2% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) | |
| ▶ | 36.3% | (/.f64 (*.f64 y x) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) z)) |
| ▶ | 76.8% | (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
| ✓ | 66.2% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
| 37.4% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) | |
| 32.3% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) y) | |
| 76.1% | (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) | |
| ▶ | 68.5% | (*.f64 (*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) x) |
| 68.4% | (*.f64 (neg.f64 z) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) | |
| 58.0% | (*.f64 (neg.f64 x) (*.f64 (*.f64 z y) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) | |
| 37.2% | (*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) | |
| ▶ | 38.1% | (*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
| 67.0% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 z (*.f64 y x)))) #s(literal -1 binary64))) | |
| 8.0% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) | |
| 13.6% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) | |
| ✓ | 13.8% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
Compiled 1 037 to 787 computations (24.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) z) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 (*.f64 y x) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) z)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (*.f64 (*.f64 z y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) | |
| cost-diff | 0 | (*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) | |
| cost-diff | 0 | #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) | |
| cost-diff | 0 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) | |
| cost-diff | 0 | (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) | |
| cost-diff | 0 | (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 341 |
| 0 | 63 | 338 |
| 1 | 111 | 338 |
| 2 | 175 | 338 |
| 3 | 236 | 338 |
| 4 | 280 | 338 |
| 5 | 305 | 338 |
| 6 | 395 | 338 |
| 7 | 467 | 338 |
| 8 | 838 | 338 |
| 9 | 2148 | 338 |
| 10 | 3760 | 338 |
| 11 | 4693 | 338 |
| 12 | 5276 | 338 |
| 13 | 5738 | 338 |
| 14 | 5990 | 338 |
| 15 | 6002 | 338 |
| 16 | 6708 | 338 |
| 17 | 7037 | 338 |
| 18 | 7064 | 338 |
| 19 | 7117 | 338 |
| 20 | 7288 | 338 |
| 21 | 7541 | 338 |
| 22 | 7547 | 338 |
| 23 | 7551 | 338 |
| 24 | 7559 | 338 |
| 25 | 7559 | 338 |
| 26 | 7665 | 338 |
| 27 | 7789 | 338 |
| 0 | 8045 | 338 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
z |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(/.f64 a z) |
a |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(*.f64 y x) |
y |
x |
(*.f64 (*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) x) |
(*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) |
#s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
x |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
x |
(/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(*.f64 z y) |
z |
y |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) |
(*.f64 (neg.f64 a) t) |
(neg.f64 a) |
a |
t |
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 z y) x) |
(*.f64 z y) |
z |
y |
x |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)) |
(*.f64 (neg.f64 t) a) |
(neg.f64 t) |
t |
a |
(/.f64 (*.f64 y x) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) z)) |
(*.f64 y x) |
y |
x |
(/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) z) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) |
(*.f64 (neg.f64 a) t) |
(neg.f64 a) |
a |
t |
z |
| Outputs |
|---|
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 y z) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
z |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(/.f64 a z) |
a |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(*.f64 (*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) x) |
(*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) |
#s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
x |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
x |
(/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(/.f64 (*.f64 y z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)) |
(*.f64 (neg.f64 a) t) |
(*.f64 (neg.f64 t) a) |
(neg.f64 a) |
a |
t |
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 z y) x) |
(*.f64 (*.f64 y z) x) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
x |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)) |
(*.f64 (neg.f64 t) a) |
(neg.f64 t) |
t |
a |
(/.f64 (*.f64 y x) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) z)) |
(/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) z) |
(/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) z) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)) |
(*.f64 (neg.f64 a) t) |
(*.f64 (neg.f64 t) a) |
(neg.f64 a) |
a |
t |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.125 | (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) z) | |
| accuracy | 3.575423490672073 | (/.f64 (*.f64 y x) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) z)) | |
| accuracy | 25.223948821594618 | (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) | |
| accuracy | 36.13669707051425 | #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) | |
| accuracy | 6.310466892230717 | (/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) | |
| accuracy | 7.462187912851229 | (*.f64 (*.f64 z y) x) | |
| accuracy | 25.223948821594618 | (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) | |
| accuracy | 36.13669707051425 | #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)) | |
| accuracy | 0.078125 | (*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) | |
| accuracy | 16.841532629231683 | (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) | |
| accuracy | 25.223948821594618 | (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) | |
| accuracy | 36.13669707051425 | #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) | |
| accuracy | 0.078125 | (*.f64 (*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) x) | |
| accuracy | 2.3043126078764518 | (*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) | |
| accuracy | 23.94939453910727 | #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) | |
| accuracy | 0.0859375 | (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) | |
| accuracy | 1.4915823224887212 | (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) | |
| accuracy | 3.35701983302996 | (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) | |
| accuracy | 23.508401465936007 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
| 122.0ms | 256× | 0 | valid |
Compiled 256 to 36 computations (85.9% saved)
ival-mult: 22.0ms (40.5% of total)ival-div: 14.0ms (25.8% of total)ival-add: 11.0ms (20.2% of total)ival-sqrt: 4.0ms (7.4% of total)ival-neg: 2.0ms (3.7% of total)ival-sub: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) x) |
(*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) |
#s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(*.f64 z y) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) |
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 z y) x) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) |
(/.f64 (*.f64 y x) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) z)) |
(*.f64 y x) |
(/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) z) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)) |
| Outputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (* y z)) |
(* x y) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* y z) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1)))))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* -1/2 (/ (* a t) z)) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ y (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))))))))) |
(* (sqrt (* a t)) (/ (sqrt -1) z)) |
(/ (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) z) |
(/ (+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) z) |
(/ (+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) z) |
(* -1 (* a t)) |
(- (pow z 2) (* a t)) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
1 |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
y |
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) |
(+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t y)) (pow z 2))))) |
(+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t y)) (pow z 2)))))) |
(+ 1 (* -1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))) |
(+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
-1 |
(- (* -1/2 (/ (* a t) (pow z 2))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* -1 y) |
(+ (* -1 y) (* -1/2 (/ (* a (* t y)) (pow z 2)))) |
(+ (* -1 y) (+ (* -1/2 (/ (* a (* t y)) (pow z 2))) (* 1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))))) |
(+ (* -1 y) (+ (* -1/2 (/ (* a (* t y)) (pow z 2))) (+ (* 1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) |
(- (* 1/2 (/ (* a t) (pow z 2))) 1) |
(- (+ (* 1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2)))) 1) |
(- (+ (* 1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))) (+ (* 1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) 1) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
(+ 1 (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 2)))))) |
(+ 1 (* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(+ y (* t (+ (* -1/2 (* t (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a y) (pow z 2)))))) |
(+ y (* t (+ (* 1/2 (/ (* a y) (pow z 2))) (* t (+ (* -1/2 (* t (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) |
(+ 1 (* t (+ (* -1/2 (/ a (pow z 2))) (* -1/8 (/ (* (pow a 2) t) (pow z 4)))))) |
(+ 1 (* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/8 (/ (pow a 2) (pow z 4))) (* -1/16 (/ (* (pow a 3) t) (pow z 6)))))))) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))))) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z)))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z))))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 5) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z)))))) |
(* t (- (/ (pow z 2) t) a)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* (pow z 5) (sqrt -1))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* y (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4)))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* y (* (pow z 5) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(* -1 (* (sqrt (* a t)) (/ (sqrt -1) z))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z))))))) |
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2)))))) |
(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(+ y (* a (+ (* -1/2 (* a (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t y) (pow z 2)))))) |
(+ y (* a (+ (* 1/2 (/ (* t y) (pow z 2))) (* a (+ (* -1/2 (* a (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) |
(+ 1 (* a (+ (* -1/2 (/ t (pow z 2))) (* -1/8 (/ (* a (pow t 2)) (pow z 4)))))) |
(+ 1 (* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/8 (/ (pow t 2) (pow z 4))) (* -1/16 (/ (* a (pow t 3)) (pow z 6)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 5) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z)))))) |
(* a (- (/ (pow z 2) a) t)) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* y (* (pow z 5) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z))))))) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | y | @ | 0 | ((* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (/ a z) (* -1/2 t)) z) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (* x (/ (* z y) (sqrt (- (* z z) (* t a))))) (/ (* z y) (sqrt (- (* z z) (* t a)))) (* z y) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (sqrt (- (* z z) (* t a))) (/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (* y x) (/ (sqrt (- (* z z) (* t a))) z) (- (* z z) (* t a)) (- (* z z) (* t a))) |
| 4.0ms | x | @ | -inf | ((* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (/ a z) (* -1/2 t)) z) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (* x (/ (* z y) (sqrt (- (* z z) (* t a))))) (/ (* z y) (sqrt (- (* z z) (* t a)))) (* z y) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (sqrt (- (* z z) (* t a))) (/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (* y x) (/ (sqrt (- (* z z) (* t a))) z) (- (* z z) (* t a)) (- (* z z) (* t a))) |
| 3.0ms | y | @ | -inf | ((* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (/ a z) (* -1/2 t)) z) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (* x (/ (* z y) (sqrt (- (* z z) (* t a))))) (/ (* z y) (sqrt (- (* z z) (* t a)))) (* z y) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (sqrt (- (* z z) (* t a))) (/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (* y x) (/ (sqrt (- (* z z) (* t a))) z) (- (* z z) (* t a)) (- (* z z) (* t a))) |
| 3.0ms | z | @ | -inf | ((* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (/ a z) (* -1/2 t)) z) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (* x (/ (* z y) (sqrt (- (* z z) (* t a))))) (/ (* z y) (sqrt (- (* z z) (* t a)))) (* z y) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (sqrt (- (* z z) (* t a))) (/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (* y x) (/ (sqrt (- (* z z) (* t a))) z) (- (* z z) (* t a)) (- (* z z) (* t a))) |
| 2.0ms | y | @ | inf | ((* (/ z (sqrt (- (* z z) (* t a)))) (* y x)) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (+ (* (/ a z) (* -1/2 t)) z) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) x) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) y) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (* x (/ (* z y) (sqrt (- (* z z) (* t a))))) (/ (* z y) (sqrt (- (* z z) (* t a)))) (* z y) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (sqrt (- (* z z) (* t a))) (/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (* y x) (/ (sqrt (- (* z z) (* t a))) z) (- (* z z) (* t a)) (- (* z z) (* t a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 876 | 6006 |
| 1 | 2905 | 5826 |
| 2 | 7635 | 5824 |
| 0 | 8037 | 5575 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (* y z)) |
(* x y) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* y z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* y z) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1)))))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* -1/2 (/ (* a t) z)) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ y (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))))))))) |
(* (sqrt (* a t)) (/ (sqrt -1) z)) |
(/ (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) z) |
(/ (+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) z) |
(/ (+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) z) |
(* -1 (* a t)) |
(- (pow z 2) (* a t)) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
1 |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
y |
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) |
(+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t y)) (pow z 2))))) |
(+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t y)) (pow z 2)))))) |
(+ 1 (* -1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))) |
(+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
-1 |
(- (* -1/2 (/ (* a t) (pow z 2))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* -1 y) |
(+ (* -1 y) (* -1/2 (/ (* a (* t y)) (pow z 2)))) |
(+ (* -1 y) (+ (* -1/2 (/ (* a (* t y)) (pow z 2))) (* 1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))))) |
(+ (* -1 y) (+ (* -1/2 (/ (* a (* t y)) (pow z 2))) (+ (* 1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) |
(- (* 1/2 (/ (* a t) (pow z 2))) 1) |
(- (+ (* 1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2)))) 1) |
(- (+ (* 1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))) (+ (* 1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) 1) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
(+ 1 (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 2)))))) |
(+ 1 (* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(+ y (* t (+ (* -1/2 (* t (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a y) (pow z 2)))))) |
(+ y (* t (+ (* 1/2 (/ (* a y) (pow z 2))) (* t (+ (* -1/2 (* t (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) |
(+ 1 (* t (+ (* -1/2 (/ a (pow z 2))) (* -1/8 (/ (* (pow a 2) t) (pow z 4)))))) |
(+ 1 (* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/8 (/ (pow a 2) (pow z 4))) (* -1/16 (/ (* (pow a 3) t) (pow z 6)))))))) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))))) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z)))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z))))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 5) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z)))))) |
(* t (- (/ (pow z 2) t) a)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* (pow z 5) (sqrt -1))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* y (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4)))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* y (* (pow z 5) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(* -1 (* (sqrt (* a t)) (/ (sqrt -1) z))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z))))))) |
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2)))))) |
(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(+ y (* a (+ (* -1/2 (* a (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t y) (pow z 2)))))) |
(+ y (* a (+ (* 1/2 (/ (* t y) (pow z 2))) (* a (+ (* -1/2 (* a (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) |
(+ 1 (* a (+ (* -1/2 (/ t (pow z 2))) (* -1/8 (/ (* a (pow t 2)) (pow z 4)))))) |
(+ 1 (* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/8 (/ (pow t 2) (pow z 4))) (* -1/16 (/ (* a (pow t 3)) (pow z 6)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 5) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z)))))) |
(* a (- (/ (pow z 2) a) t)) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* y (* (pow z 5) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z))))))) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
| Outputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* x (* y z)) |
(*.f64 (*.f64 y z) x) |
(* x y) |
(*.f64 x y) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 y z)) |
(* (* y z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 y z)) |
(* y z) |
(*.f64 y z) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
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1 |
#s(literal 1 binary64) |
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z |
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y |
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(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1))))))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 a (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64)))) (/.f64 z (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 t (pow.f64 a #s(literal 7 binary64)))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) z))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) z)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 5) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) z))))) a) |
(* a (- (/ (pow z 2) a) t)) |
(*.f64 (-.f64 (*.f64 z (/.f64 z a)) t) a) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 x y) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 a (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) z) y) x) (sqrt.f64 (/.f64 t a)) (*.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64)))) (*.f64 (*.f64 x y) (*.f64 (pow.f64 z #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (neg.f64 (pow.f64 a #s(literal 3 binary64)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) z) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64)))) (pow.f64 z #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 a (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) z) (sqrt.f64 (/.f64 t a))))) (neg.f64 (pow.f64 a #s(literal 3 binary64)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 z z)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 z z)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 z z)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(*.f64 (fma.f64 (/.f64 t z) #s(literal 1/2 binary64) (/.f64 (neg.f64 z) a)) (neg.f64 a)) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* y (* (pow z 5) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) y) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 a (pow.f64 t #s(literal 3 binary64)))) #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) z) y) (sqrt.f64 (/.f64 t a)) (*.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) y) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 (pow.f64 a #s(literal 3 binary64)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) z))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) z)))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (pow.f64 z #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) z))))) (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(*.f64 (-.f64 t (*.f64 z (/.f64 z a))) (neg.f64 a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 262 |
| 0 | 63 | 259 |
| 1 | 197 | 259 |
| 2 | 1040 | 259 |
| 0 | 8727 | 259 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) x) |
(*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) |
#s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(*.f64 z y) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) |
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 z y) x) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) |
(/.f64 (*.f64 y x) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) z)) |
(*.f64 y x) |
(/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) z) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (/.f64 y #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (*.f64 x z)) |
(*.f64 (/.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64)) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (/.f64 (*.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (*.f64 y z)) |
(*.f64 (/.f64 (*.f64 x y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) z) |
(*.f64 (/.f64 x (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) y) |
(*.f64 (*.f64 z x) (*.f64 y (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 x z) (*.f64 y (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 x z) (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal -1 binary64)) y)) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) x) y) |
(*.f64 (/.f64 (*.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) x) |
(*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal -1 binary64)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal -1 binary64)) (*.f64 (*.f64 y z) x)) |
(*.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (*.f64 x y))) |
(*.f64 (*.f64 (*.f64 y z) x) (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y z) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y z) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (*.f64 x y) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 x (/.f64 (*.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 y (*.f64 (*.f64 z x) (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal -1 binary64)))) |
(*.f64 y (*.f64 z (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))) |
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(neg.f64 (*.f64 (neg.f64 y) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal 1/4 binary64))) (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal 1/4 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (neg.f64 z))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) z) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) z)) |
(pow.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) z) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(/.f64 (neg.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (neg.f64 z)) |
(/.f64 (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (neg.f64 z)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) z) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(neg.f64 (/.f64 (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (neg.f64 z)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (neg.f64 z))) |
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) #s(literal -1 binary64))) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) |
Compiled 19 680 to 2 181 computations (88.9% saved)
24 alts after pruning (19 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 602 | 7 | 609 |
| Fresh | 5 | 12 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 609 | 24 | 633 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 37.0% | (/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
| ▶ | 58.0% | (/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
| ▶ | 33.8% | (/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
| 40.7% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| 36.8% | (/.f64 (*.f64 (*.f64 x y) z) (exp.f64 (*.f64 (log.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) #s(literal 1/2 binary64)))) | |
| 41.2% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))) (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)))))))) | |
| 18.5% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| 37.2% | (*.f64 (/.f64 (*.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) | |
| 76.8% | (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a z))) (*.f64 y x)) | |
| 24.0% | (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (/ a z) (* -1/2 t)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) (*.f64 y x)) | |
| 33.4% | (*.f64 (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 z x)) | |
| ✓ | 66.2% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
| 37.4% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) | |
| ▶ | 32.3% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) y) |
| 76.1% | (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) | |
| ✓ | 68.5% | (*.f64 (*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) x) |
| 68.4% | (*.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (*.f64 x y))) | |
| 58.0% | (*.f64 (neg.f64 x) (*.f64 (*.f64 z y) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) | |
| ▶ | 76.8% | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (*.f64 y x)) |
| 39.0% | (*.f64 x (/.f64 (*.f64 z y) (pow.f64 (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) | |
| ✓ | 38.1% | (*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
| 8.0% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) | |
| ▶ | 13.6% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
| ✓ | 13.8% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
Compiled 980 to 744 computations (24.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (*.f64 (*.f64 z y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (*.f64 (*.f64 z x) y) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) | |
| cost-diff | 0 | (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) | |
| cost-diff | 0 | (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) y) | |
| cost-diff | 0 | (neg.f64 (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x) | |
| cost-diff | 0 | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) | |
| cost-diff | 4 | (/.f64 (neg.f64 (*.f64 y y)) y) | |
| cost-diff | 0 | (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) | |
| cost-diff | 0 | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (*.f64 y x)) | |
| cost-diff | 1 | (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64)) | |
| cost-diff | 3 | (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 416 |
| 0 | 75 | 414 |
| 1 | 137 | 413 |
| 2 | 248 | 401 |
| 3 | 426 | 397 |
| 4 | 824 | 395 |
| 5 | 2457 | 395 |
| 6 | 4012 | 395 |
| 7 | 5866 | 395 |
| 0 | 8601 | 395 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (*.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64)) |
(log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) |
(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(/.f64 a z) |
a |
z |
#s(literal -1 binary64) |
(*.f64 y x) |
y |
x |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
(*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x) |
(/.f64 (neg.f64 (*.f64 y y)) y) |
(neg.f64 (*.f64 y y)) |
(*.f64 y y) |
y |
x |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) y) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) |
(/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
z |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) |
(*.f64 (neg.f64 a) t) |
(neg.f64 a) |
a |
t |
x |
y |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 z x) y) |
(*.f64 z x) |
z |
x |
y |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)) |
(*.f64 (neg.f64 t) a) |
(neg.f64 t) |
t |
a |
(/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(*.f64 (*.f64 z y) x) |
(*.f64 z y) |
z |
y |
x |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(/.f64 a z) |
a |
| Outputs |
|---|
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 x z) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64)) |
(neg.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) |
(log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) |
(log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) |
(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) |
(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(/.f64 a z) |
a |
z |
#s(literal -1 binary64) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x) |
(*.f64 (neg.f64 y) x) |
(/.f64 (neg.f64 (*.f64 y y)) y) |
(neg.f64 y) |
(neg.f64 (*.f64 y y)) |
(*.f64 (neg.f64 y) y) |
(*.f64 y y) |
y |
x |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) y) |
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) |
(/.f64 (*.f64 x z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
z |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)) |
(*.f64 (neg.f64 a) t) |
(*.f64 (neg.f64 t) a) |
(neg.f64 a) |
a |
t |
x |
y |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 z x) y) |
(*.f64 (*.f64 x z) y) |
(*.f64 z x) |
(*.f64 x z) |
z |
x |
y |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)) |
(*.f64 (neg.f64 t) a) |
(neg.f64 t) |
t |
a |
(/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(/.f64 (*.f64 (*.f64 x z) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(*.f64 (*.f64 z y) x) |
(*.f64 (*.f64 x z) y) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
x |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(/.f64 a z) |
a |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.4915823224887212 | (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) | |
| accuracy | 6.310466892230717 | (/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) | |
| accuracy | 7.462187912851229 | (*.f64 (*.f64 z y) x) | |
| accuracy | 23.508401465936007 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) | |
| accuracy | 5.391773791007096 | (*.f64 (*.f64 z x) y) | |
| accuracy | 6.310466892230717 | (/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) | |
| accuracy | 25.223948821594618 | (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) | |
| accuracy | 36.13669707051425 | #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)) | |
| accuracy | 0.5054802892580008 | (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) | |
| accuracy | 5.61846445820192 | (*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) y) | |
| accuracy | 25.223948821594618 | (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) | |
| accuracy | 36.13669707051425 | #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (neg.f64 (*.f64 y y)) | |
| accuracy | 31.457999913557245 | (/.f64 (neg.f64 (*.f64 y y)) y) | |
| accuracy | 55.15830009854703 | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) | |
| accuracy | 1.793988473050838 | (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) | |
| accuracy | 3.35701983302996 | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (*.f64 y x)) | |
| accuracy | 21.109010260892653 | (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) | |
| accuracy | 23.508401465936007 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
| 179.0ms | 105× | 2 | valid |
| 30.0ms | 103× | 0 | valid |
| 29.0ms | 48× | 1 | valid |
Compiled 299 to 43 computations (85.6% saved)
ival-neg: 62.0ms (32.5% of total)ival-log: 44.0ms (23% of total)ival-mult: 33.0ms (17.3% of total)adjust: 18.0ms (9.4% of total)ival-div: 18.0ms (9.4% of total)ival-sqrt: 6.0ms (3.1% of total)ival-exp: 4.0ms (2.1% of total)ival-sub: 3.0ms (1.6% of total)ival-add: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (*.f64 y x)) |
(log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) |
(/.f64 (neg.f64 (*.f64 y y)) y) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
(*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x) |
(neg.f64 (*.f64 y y)) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) y) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) |
(/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 z x) y) |
(*.f64 z x) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) |
(/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(*.f64 (*.f64 z y) x) |
(*.f64 z y) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
(*.f64 y y) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
| Outputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x y)) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x z) |
(* -1 y) |
(* -1 (pow y 2)) |
(* y z) |
(pow y 2) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1)))))))))) |
(* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) |
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* (pow z 2) (- (* 1/4 (/ (pow z 2) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))) |
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* (pow z 2) (- (* (pow z 2) (+ (* -1/6 (/ (pow z 2) (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 6))))) (* 1/4 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z))) |
(+ (log (* (sqrt (* a t)) (sqrt -1))) (+ (* -1 (log z)) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))))) |
(+ (log (* (sqrt (* a t)) (sqrt -1))) (+ (* -1 (log z)) (* (pow z 2) (+ (* -1/4 (/ (pow z 2) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2))))))))) |
(+ (log (* (sqrt (* a t)) (sqrt -1))) (+ (* -1 (log z)) (* (pow z 2) (+ (* (pow z 2) (- (* 1/6 (/ (pow z 2) (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 6))))) (* 1/4 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* -1 (* a t)) |
(- (pow z 2) (* a t)) |
(* -1/2 (/ (* a t) z)) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
1 |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) |
(* 1/2 (/ (* a t) (pow z 2))) |
(/ (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t))) (pow z 2)) |
(/ (+ (* -1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 4))) (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t)))) (pow z 2)) |
(/ (+ (* -1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 4))) (+ (* -1/40320 (/ (+ (* -20160 (+ (* 1/64 (* (pow a 4) (pow t 4))) (* 1/16 (* (pow a 4) (pow t 4))))) (+ (* -2520 (* (pow a 4) (pow t 4))) (+ (* -630 (* (pow a 4) (pow t 4))) (* -315 (* (pow a 4) (pow t 4)))))) (pow z 6))) (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t))))) (pow z 2)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(* -1/2 (/ (* a t) (pow z 2))) |
(/ (+ (* -1/2 (* a t)) (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2)))) (pow z 2)) |
(/ (+ (* -1/2 (* a t)) (+ (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 4))))) (pow z 2)) |
(/ (+ (* -1/2 (* a t)) (+ (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (+ (* 1/40320 (/ (+ (* -20160 (+ (* 1/64 (* (pow a 4) (pow t 4))) (* 1/16 (* (pow a 4) (pow t 4))))) (+ (* -2520 (* (pow a 4) (pow t 4))) (+ (* -630 (* (pow a 4) (pow t 4))) (* -315 (* (pow a 4) (pow t 4)))))) (pow z 6))) (* 1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 4)))))) (pow z 2)) |
x |
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) |
(+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) |
(+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
-1 |
(- (* -1/2 (/ (* a t) (pow z 2))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1) |
(* -1 (log -1)) |
(+ (* -1 (log -1)) (* 1/2 (/ (* a t) (pow z 2)))) |
(+ (* -1 (log -1)) (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) |
(+ (* -1 (log -1)) (+ (* -1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 6))) (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2)))))) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(log -1) |
(+ (log -1) (* -1/2 (/ (* a t) (pow z 2)))) |
(+ (log -1) (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4))))) |
(+ (log -1) (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 6)))))) |
(* -1 x) |
(+ (* -1 x) (* -1/2 (/ (* a (* t x)) (pow z 2)))) |
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))))) |
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (+ (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(+ 1 (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 2)))))) |
(+ 1 (* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) |
(* t (+ (* 1/4 (/ (* (pow a 2) t) (pow z 4))) (* 1/2 (/ a (pow z 2))))) |
(* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/6 (* t (+ (* -3/4 (/ (pow a 3) (pow z 6))) (* -1/4 (/ (pow a 3) (pow z 6)))))) (* 1/4 (/ (pow a 2) (pow z 4))))))) |
(* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* 1/4 (/ (pow a 2) (pow z 4))) (* t (+ (* -1/6 (+ (* -3/4 (/ (pow a 3) (pow z 6))) (* -1/4 (/ (pow a 3) (pow z 6))))) (* -1/24 (* t (+ (* -12 (/ (+ (* 1/64 (/ (pow a 4) (pow z 6))) (* 1/16 (/ (pow a 4) (pow z 6)))) (pow z 2))) (+ (* -3/2 (/ (pow a 4) (pow z 8))) (+ (* -3/8 (/ (pow a 4) (pow z 8))) (* -3/16 (/ (pow a 4) (pow z 8)))))))))))))) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
(* t (+ (* -1/2 (/ a (pow z 2))) (* -1/4 (/ (* (pow a 2) t) (pow z 4))))) |
(* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/4 (/ (pow a 2) (pow z 4))) (* 1/6 (* t (+ (* -3/4 (/ (pow a 3) (pow z 6))) (* -1/4 (/ (pow a 3) (pow z 6)))))))))) |
(* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/4 (/ (pow a 2) (pow z 4))) (* t (+ (* 1/24 (* t (+ (* -12 (/ (+ (* 1/64 (/ (pow a 4) (pow z 6))) (* 1/16 (/ (pow a 4) (pow z 6)))) (pow z 2))) (+ (* -3/2 (/ (pow a 4) (pow z 8))) (+ (* -3/8 (/ (pow a 4) (pow z 8))) (* -3/16 (/ (pow a 4) (pow z 8)))))))) (* 1/6 (+ (* -3/4 (/ (pow a 3) (pow z 6))) (* -1/4 (/ (pow a 3) (pow z 6))))))))))) |
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(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
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(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
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(* t (- (/ (pow z 2) t) a)) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
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(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2)))))) |
(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) |
(* a (+ (* 1/4 (/ (* a (pow t 2)) (pow z 4))) (* 1/2 (/ t (pow z 2))))) |
(* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/6 (* a (+ (* -3/4 (/ (pow t 3) (pow z 6))) (* -1/4 (/ (pow t 3) (pow z 6)))))) (* 1/4 (/ (pow t 2) (pow z 4))))))) |
(* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* 1/4 (/ (pow t 2) (pow z 4))) (* a (+ (* -1/6 (+ (* -3/4 (/ (pow t 3) (pow z 6))) (* -1/4 (/ (pow t 3) (pow z 6))))) (* -1/24 (* a (+ (* -12 (/ (+ (* 1/64 (/ (pow t 4) (pow z 6))) (* 1/16 (/ (pow t 4) (pow z 6)))) (pow z 2))) (+ (* -3/2 (/ (pow t 4) (pow z 8))) (+ (* -3/8 (/ (pow t 4) (pow z 8))) (* -3/16 (/ (pow t 4) (pow z 8)))))))))))))) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(* a (+ (* -1/2 (/ t (pow z 2))) (* -1/4 (/ (* a (pow t 2)) (pow z 4))))) |
(* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/4 (/ (pow t 2) (pow z 4))) (* 1/6 (* a (+ (* -3/4 (/ (pow t 3) (pow z 6))) (* -1/4 (/ (pow t 3) (pow z 6)))))))))) |
(* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/4 (/ (pow t 2) (pow z 4))) (* a (+ (* 1/24 (* a (+ (* -12 (/ (+ (* 1/64 (/ (pow t 4) (pow z 6))) (* 1/16 (/ (pow t 4) (pow z 6)))) (pow z 2))) (+ (* -3/2 (/ (pow t 4) (pow z 8))) (+ (* -3/8 (/ (pow t 4) (pow z 8))) (* -3/16 (/ (pow t 4) (pow z 8)))))))) (* 1/6 (+ (* -3/4 (/ (pow t 3) (pow z 6))) (* -1/4 (/ (pow t 3) (pow z 6))))))))))) |
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(+ x (* a (+ (* 1/2 (/ (* t x) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))) |
(* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ 1 a))))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ 1 a))))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ 1 a))))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* 1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ 1 a))))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (+ (* -1/720 (/ (+ (* 30 (/ (* (pow a 3) (pow z 6)) (* (pow t 3) (pow (sqrt -1) 6)))) (* 90 (/ (* (pow a 3) (pow z 6)) (* (pow t 3) (pow (sqrt -1) 6))))) (pow a 6))) (* 1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4)))))))) |
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(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ 1 a))) (+ (* -1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))))) |
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(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* a (- (/ (pow z 2) a) t)) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) (* 1/2 (/ (pow z 2) (* a t)))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) (+ (* 1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 1/2 (/ (pow z 2) (* a t))))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) (+ (* -1/720 (/ (+ (* -90 (/ (* (pow a 3) (pow z 6)) (pow t 3))) (* -30 (/ (* (pow a 3) (pow z 6)) (pow t 3)))) (pow a 6))) (+ (* 1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 1/2 (/ (pow z 2) (* a t)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a)))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 a))) (* -1/2 (/ (pow z 2) (* a t))))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 a))) (+ (* -1/2 (/ (pow z 2) (* a t))) (* -1/4 (/ (pow z 4) (* (pow a 2) (pow t 2))))))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 a))) (+ (* -1/2 (/ (pow z 2) (* a t))) (+ (* -1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 1/720 (/ (+ (* -90 (/ (* (pow a 3) (pow z 6)) (pow t 3))) (* -30 (/ (* (pow a 3) (pow z 6)) (pow t 3)))) (pow a 6))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 5) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | t | @ | 0 | ((exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1) (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (log (/ (sqrt (- (* z z) (* t a))) z)) (/ (neg (* y y)) y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (/ (neg (* y y)) y) x) (neg (* y y)) (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (* (/ z (sqrt (- (* z z) (* t a)))) x) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (sqrt (- (* z z) (* t a))) (* y y) (- (* z z) (* t a)) (- (* z z) (* t a)) (+ (* (* -1/2 t) (/ a z)) z)) |
| 8.0ms | z | @ | inf | ((exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1) (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (log (/ (sqrt (- (* z z) (* t a))) z)) (/ (neg (* y y)) y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (/ (neg (* y y)) y) x) (neg (* y y)) (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (* (/ z (sqrt (- (* z z) (* t a)))) x) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (sqrt (- (* z z) (* t a))) (* y y) (- (* z z) (* t a)) (- (* z z) (* t a)) (+ (* (* -1/2 t) (/ a z)) z)) |
| 6.0ms | a | @ | 0 | ((exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1) (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (log (/ (sqrt (- (* z z) (* t a))) z)) (/ (neg (* y y)) y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (/ (neg (* y y)) y) x) (neg (* y y)) (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (* (/ z (sqrt (- (* z z) (* t a)))) x) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (sqrt (- (* z z) (* t a))) (* y y) (- (* z z) (* t a)) (- (* z z) (* t a)) (+ (* (* -1/2 t) (/ a z)) z)) |
| 5.0ms | z | @ | 0 | ((exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1) (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (log (/ (sqrt (- (* z z) (* t a))) z)) (/ (neg (* y y)) y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (/ (neg (* y y)) y) x) (neg (* y y)) (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (* (/ z (sqrt (- (* z z) (* t a)))) x) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (sqrt (- (* z z) (* t a))) (* y y) (- (* z z) (* t a)) (- (* z z) (* t a)) (+ (* (* -1/2 t) (/ a z)) z)) |
| 5.0ms | t | @ | inf | ((exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1) (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (log (/ (sqrt (- (* z z) (* t a))) z)) (/ (neg (* y y)) y) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (/ (neg (* y y)) y) x) (neg (* y y)) (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (* (/ z (sqrt (- (* z z) (* t a)))) x) (/ z (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* z x) y) (sqrt (- (* z z) (* t a)))) (* (* z x) y) (* z x) (sqrt (- (* z z) (* t a))) (/ (* (* z y) x) (sqrt (- (* z z) (* t a)))) (* (* z y) x) (* z y) (sqrt (- (* z z) (* t a))) (* y y) (- (* z z) (* t a)) (- (* z z) (* t a)) (+ (* (* -1/2 t) (/ a z)) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1147 | 7522 |
| 1 | 3755 | 7146 |
| 0 | 8645 | 6865 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x y)) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x z) |
(* -1 y) |
(* -1 (pow y 2)) |
(* y z) |
(pow y 2) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1)))))))))) |
(* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) |
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* (pow z 2) (- (* 1/4 (/ (pow z 2) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))) |
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* (pow z 2) (- (* (pow z 2) (+ (* -1/6 (/ (pow z 2) (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 6))))) (* 1/4 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z))) |
(+ (log (* (sqrt (* a t)) (sqrt -1))) (+ (* -1 (log z)) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))))) |
(+ (log (* (sqrt (* a t)) (sqrt -1))) (+ (* -1 (log z)) (* (pow z 2) (+ (* -1/4 (/ (pow z 2) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2))))))))) |
(+ (log (* (sqrt (* a t)) (sqrt -1))) (+ (* -1 (log z)) (* (pow z 2) (+ (* (pow z 2) (- (* 1/6 (/ (pow z 2) (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 6))))) (* 1/4 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* -1 (* a t)) |
(- (pow z 2) (* a t)) |
(* -1/2 (/ (* a t) z)) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
1 |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) |
(* 1/2 (/ (* a t) (pow z 2))) |
(/ (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t))) (pow z 2)) |
(/ (+ (* -1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 4))) (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t)))) (pow z 2)) |
(/ (+ (* -1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 4))) (+ (* -1/40320 (/ (+ (* -20160 (+ (* 1/64 (* (pow a 4) (pow t 4))) (* 1/16 (* (pow a 4) (pow t 4))))) (+ (* -2520 (* (pow a 4) (pow t 4))) (+ (* -630 (* (pow a 4) (pow t 4))) (* -315 (* (pow a 4) (pow t 4)))))) (pow z 6))) (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t))))) (pow z 2)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(* -1/2 (/ (* a t) (pow z 2))) |
(/ (+ (* -1/2 (* a t)) (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2)))) (pow z 2)) |
(/ (+ (* -1/2 (* a t)) (+ (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 4))))) (pow z 2)) |
(/ (+ (* -1/2 (* a t)) (+ (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (+ (* 1/40320 (/ (+ (* -20160 (+ (* 1/64 (* (pow a 4) (pow t 4))) (* 1/16 (* (pow a 4) (pow t 4))))) (+ (* -2520 (* (pow a 4) (pow t 4))) (+ (* -630 (* (pow a 4) (pow t 4))) (* -315 (* (pow a 4) (pow t 4)))))) (pow z 6))) (* 1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 4)))))) (pow z 2)) |
x |
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) |
(+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) |
(+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
-1 |
(- (* -1/2 (/ (* a t) (pow z 2))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1) |
(* -1 (log -1)) |
(+ (* -1 (log -1)) (* 1/2 (/ (* a t) (pow z 2)))) |
(+ (* -1 (log -1)) (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) |
(+ (* -1 (log -1)) (+ (* -1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 6))) (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2)))))) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(log -1) |
(+ (log -1) (* -1/2 (/ (* a t) (pow z 2)))) |
(+ (log -1) (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4))))) |
(+ (log -1) (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 6)))))) |
(* -1 x) |
(+ (* -1 x) (* -1/2 (/ (* a (* t x)) (pow z 2)))) |
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))))) |
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (+ (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(+ 1 (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 2)))))) |
(+ 1 (* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) |
(* t (+ (* 1/4 (/ (* (pow a 2) t) (pow z 4))) (* 1/2 (/ a (pow z 2))))) |
(* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/6 (* t (+ (* -3/4 (/ (pow a 3) (pow z 6))) (* -1/4 (/ (pow a 3) (pow z 6)))))) (* 1/4 (/ (pow a 2) (pow z 4))))))) |
(* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* 1/4 (/ (pow a 2) (pow z 4))) (* t (+ (* -1/6 (+ (* -3/4 (/ (pow a 3) (pow z 6))) (* -1/4 (/ (pow a 3) (pow z 6))))) (* -1/24 (* t (+ (* -12 (/ (+ (* 1/64 (/ (pow a 4) (pow z 6))) (* 1/16 (/ (pow a 4) (pow z 6)))) (pow z 2))) (+ (* -3/2 (/ (pow a 4) (pow z 8))) (+ (* -3/8 (/ (pow a 4) (pow z 8))) (* -3/16 (/ (pow a 4) (pow z 8)))))))))))))) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
(* t (+ (* -1/2 (/ a (pow z 2))) (* -1/4 (/ (* (pow a 2) t) (pow z 4))))) |
(* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/4 (/ (pow a 2) (pow z 4))) (* 1/6 (* t (+ (* -3/4 (/ (pow a 3) (pow z 6))) (* -1/4 (/ (pow a 3) (pow z 6)))))))))) |
(* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/4 (/ (pow a 2) (pow z 4))) (* t (+ (* 1/24 (* t (+ (* -12 (/ (+ (* 1/64 (/ (pow a 4) (pow z 6))) (* 1/16 (/ (pow a 4) (pow z 6)))) (pow z 2))) (+ (* -3/2 (/ (pow a 4) (pow z 8))) (+ (* -3/8 (/ (pow a 4) (pow z 8))) (* -3/16 (/ (pow a 4) (pow z 8)))))))) (* 1/6 (+ (* -3/4 (/ (pow a 3) (pow z 6))) (* -1/4 (/ (pow a 3) (pow z 6))))))))))) |
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(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
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(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
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(* t (- (/ (pow z 2) t) a)) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
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(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2)))))) |
(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) |
(* a (+ (* 1/4 (/ (* a (pow t 2)) (pow z 4))) (* 1/2 (/ t (pow z 2))))) |
(* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/6 (* a (+ (* -3/4 (/ (pow t 3) (pow z 6))) (* -1/4 (/ (pow t 3) (pow z 6)))))) (* 1/4 (/ (pow t 2) (pow z 4))))))) |
(* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* 1/4 (/ (pow t 2) (pow z 4))) (* a (+ (* -1/6 (+ (* -3/4 (/ (pow t 3) (pow z 6))) (* -1/4 (/ (pow t 3) (pow z 6))))) (* -1/24 (* a (+ (* -12 (/ (+ (* 1/64 (/ (pow t 4) (pow z 6))) (* 1/16 (/ (pow t 4) (pow z 6)))) (pow z 2))) (+ (* -3/2 (/ (pow t 4) (pow z 8))) (+ (* -3/8 (/ (pow t 4) (pow z 8))) (* -3/16 (/ (pow t 4) (pow z 8)))))))))))))) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(* a (+ (* -1/2 (/ t (pow z 2))) (* -1/4 (/ (* a (pow t 2)) (pow z 4))))) |
(* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/4 (/ (pow t 2) (pow z 4))) (* 1/6 (* a (+ (* -3/4 (/ (pow t 3) (pow z 6))) (* -1/4 (/ (pow t 3) (pow z 6)))))))))) |
(* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/4 (/ (pow t 2) (pow z 4))) (* a (+ (* 1/24 (* a (+ (* -12 (/ (+ (* 1/64 (/ (pow t 4) (pow z 6))) (* 1/16 (/ (pow t 4) (pow z 6)))) (pow z 2))) (+ (* -3/2 (/ (pow t 4) (pow z 8))) (+ (* -3/8 (/ (pow t 4) (pow z 8))) (* -3/16 (/ (pow t 4) (pow z 8)))))))) (* 1/6 (+ (* -3/4 (/ (pow t 3) (pow z 6))) (* -1/4 (/ (pow t 3) (pow z 6))))))))))) |
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(+ x (* a (+ (* 1/2 (/ (* t x) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))) |
(* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ 1 a))))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ 1 a))))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ 1 a))))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* 1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ 1 a))))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (+ (* -1/720 (/ (+ (* 30 (/ (* (pow a 3) (pow z 6)) (* (pow t 3) (pow (sqrt -1) 6)))) (* 90 (/ (* (pow a 3) (pow z 6)) (* (pow t 3) (pow (sqrt -1) 6))))) (pow a 6))) (* 1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4)))))))) |
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(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ 1 a))) (+ (* -1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))))) |
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(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* a (- (/ (pow z 2) a) t)) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) (* 1/2 (/ (pow z 2) (* a t)))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) (+ (* 1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 1/2 (/ (pow z 2) (* a t))))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) (+ (* -1/720 (/ (+ (* -90 (/ (* (pow a 3) (pow z 6)) (pow t 3))) (* -30 (/ (* (pow a 3) (pow z 6)) (pow t 3)))) (pow a 6))) (+ (* 1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 1/2 (/ (pow z 2) (* a t)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a)))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 a))) (* -1/2 (/ (pow z 2) (* a t))))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 a))) (+ (* -1/2 (/ (pow z 2) (* a t))) (* -1/4 (/ (pow z 4) (* (pow a 2) (pow t 2))))))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 a))) (+ (* -1/2 (/ (pow z 2) (* a t))) (+ (* -1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 1/720 (/ (+ (* -90 (/ (* (pow a 3) (pow z 6)) (pow t 3))) (* -30 (/ (* (pow a 3) (pow z 6)) (pow t 3)))) (pow a 6))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 5) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
| Outputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(* x (* y z)) |
(*.f64 (*.f64 y z) x) |
(* x z) |
(*.f64 x z) |
(* -1 y) |
(neg.f64 y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* y z) |
(*.f64 y z) |
(pow y 2) |
(*.f64 y y) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64)))) (*.f64 z z)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 a t)) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 a t))) (fma.f64 (*.f64 z z) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (neg.f64 t) a)) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 t #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z z) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) |
(neg.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 z))) |
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 t)) (/.f64 (*.f64 z z) a) (neg.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 z)))) |
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* (pow z 2) (- (* 1/4 (/ (pow z 2) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 (*.f64 z z) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 t t))) (/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 t) a))) (*.f64 z z) (neg.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 z)))) |
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* (pow z 2) (- (* (pow z 2) (+ (* -1/6 (/ (pow z 2) (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 6))))) (* 1/4 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 z z) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 t t)) (*.f64 a a)))) (*.f64 z z) (/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 t) a))) (*.f64 z z) (neg.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 z)))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 (*.f64 z z) y) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (*.f64 a t)) (*.f64 (*.f64 x (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))))) (*.f64 z z) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 a t))) (fma.f64 x (/.f64 (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (neg.f64 t) a)) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 t #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x y) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z z) (*.f64 (*.f64 (*.f64 x (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z))) |
(-.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 z)) |
(+ (log (* (sqrt (* a t)) (sqrt -1))) (+ (* -1 (log z)) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 t)) (/.f64 (*.f64 z z) a) (-.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 z))) |
(+ (log (* (sqrt (* a t)) (sqrt -1))) (+ (* -1 (log z)) (* (pow z 2) (+ (* -1/4 (/ (pow z 2) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2))))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a a)) (/.f64 (*.f64 z z) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 t t))) (/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 t) a))) (*.f64 z z) (-.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 z))) |
(+ (log (* (sqrt (* a t)) (sqrt -1))) (+ (* -1 (log z)) (* (pow z 2) (+ (* (pow z 2) (- (* 1/6 (/ (pow z 2) (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 6))))) (* 1/4 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2))))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 z z) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 t t)) (*.f64 a a)))) (*.f64 z z) (/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 t) a))) (*.f64 z z) (-.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 z))) |
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 z z) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 a t))))) (*.f64 z z) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 a t))) (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 z z) x) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (neg.f64 t) a)) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 t #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z z) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z z) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* (sqrt (* a t)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(fma.f64 (*.f64 (/.f64 (*.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 z z) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
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(*.f64 (neg.f64 t) a) |
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x |
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) |
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z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 a t) z) #s(literal 1 binary64)) z) |
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(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
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(pow z 2) |
(*.f64 z z) |
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-1 |
#s(literal -1 binary64) |
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(* -1 (log -1)) |
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(log -1) |
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(* -1 x) |
(neg.f64 x) |
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(* a (- (/ (pow z 2) a) t)) |
(*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(*.f64 (fma.f64 (/.f64 t z) #s(literal -1/2 binary64) (/.f64 z a)) a) |
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(* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) |
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(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) (* 1/2 (/ (pow z 2) (* a t)))) |
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(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a)))) |
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(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 5) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))) |
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(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
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(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 z z)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 a)) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 t #s(literal 5 binary64)))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.f64 z z)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) a) #s(literal -1 binary64) t) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(*.f64 (fma.f64 (/.f64 t z) #s(literal 1/2 binary64) (/.f64 (neg.f64 z) a)) (neg.f64 a)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 320 |
| 0 | 75 | 318 |
| 1 | 224 | 311 |
| 2 | 1052 | 298 |
| 0 | 8426 | 298 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (*.f64 y x)) |
(log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) |
(/.f64 (neg.f64 (*.f64 y y)) y) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
(*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x) |
(neg.f64 (*.f64 y y)) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) y) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) |
(/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 z x) y) |
(*.f64 z x) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))) |
(/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(*.f64 (*.f64 z y) x) |
(*.f64 z y) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
(*.f64 y y) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
| Outputs |
|---|
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 z)))) |
(*.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)) z) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 z (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) |
(pow.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #s(literal -1 binary64)) |
(/.f64 (*.f64 z #s(literal -1 binary64)) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 z)))) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z))) |
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal -1 binary64)) |
(/.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) |
(/.f64 (neg.f64 z) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (neg.f64 z))) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(neg.f64 (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)))) |
(exp.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) |
(*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) (log.f64 (exp.f64 #s(literal -1 binary64)))) |
(*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) #s(literal -1 binary64)) (log.f64 (*.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 2 binary64)) (*.f64 (log.f64 z) (+.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (log.f64 (*.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 2 binary64)) (*.f64 (log.f64 z) (+.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (log.f64 (*.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 2 binary64)) (*.f64 (log.f64 z) (+.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (neg.f64 (log.f64 (*.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 2 binary64)) (*.f64 (log.f64 z) (+.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))))) |
(neg.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) #s(literal -1 binary64))) |
(neg.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) |
(fma.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 z)) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 z)))) |
(-.f64 (log.f64 (neg.f64 z)) (log.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) |
(-.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(+.f64 (neg.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) (neg.f64 (neg.f64 (log.f64 z)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 z)))) |
(+.f64 (*.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal -1 binary64)) (*.f64 (neg.f64 (log.f64 z)) #s(literal -1 binary64))) |
(+.f64 (log.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #s(literal -1/2 binary64)))) |
(+.f64 (log.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64))) (log.f64 z)) |
(+.f64 (log.f64 z) (log.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)))) |
(log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (*.f64 (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) y) z) |
(*.f64 (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)) (*.f64 x y)) z) |
(*.f64 (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)) x) (*.f64 y z)) |
(*.f64 (*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)) y) (*.f64 x z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) y) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) x) |
(*.f64 (*.f64 (*.f64 x y) (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) y) x)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 y #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 (*.f64 x z) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 (*.f64 x z) y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64)) (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64)) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
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(*.f64 (/.f64 (*.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))) (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 a z) t) z) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z)))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))) (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))))) |
(/.f64 (neg.f64 (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64))))) (neg.f64 (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)))) (neg.f64 (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z z)) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 a z) t) z) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) (*.f64 (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z)) (*.f64 z z))) (*.f64 (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z)) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z)))) |
(/.f64 (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)))) (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))) (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z)))) (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z))) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))))) |
(neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))) |
(neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) t) (pow.f64 z #s(literal -1 binary64))) a z) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) #s(literal -1 binary64)) (/.f64 (neg.f64 a) z) z) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 t (pow.f64 a #s(literal -1 binary64))) z) |
(fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) z) |
(fma.f64 (/.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) z) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) t) a) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) z) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) t) #s(literal -1 binary64)) (/.f64 (neg.f64 a) z) z) |
(fma.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -1 binary64))) z) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a t)) (/.f64 #s(literal -1 binary64) z) z) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) t) a) (pow.f64 z #s(literal -1 binary64)) z) |
(fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) t) (pow.f64 a #s(literal -1 binary64))) z) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) t) a) z) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) z) |
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) |
(fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (neg.f64 (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))) |
(fma.f64 (neg.f64 a) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1/2 binary64) t)) z) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)) z) |
(fma.f64 #s(literal -1 binary64) (neg.f64 z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a z) t) z) |
(fma.f64 (*.f64 a t) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64)) z) |
(fma.f64 a (*.f64 (*.f64 #s(literal -1/2 binary64) t) (pow.f64 z #s(literal -1 binary64))) z) |
(fma.f64 a (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) z) |
(fma.f64 t (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) z) |
(fma.f64 z #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) |
(-.f64 (/.f64 (*.f64 z z) (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t (neg.f64 z))) (neg.f64 (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))) |
(+.f64 (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) z) |
(+.f64 z (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) |
Compiled 30 644 to 3 638 computations (88.1% saved)
30 alts after pruning (24 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 829 | 14 | 843 |
| Fresh | 4 | 10 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 3 | 5 |
| Total | 837 | 30 | 867 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 37.0% | (/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
| ✓ | 58.0% | (/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
| ✓ | 33.8% | (/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
| 36.8% | (/.f64 (*.f64 (*.f64 x y) z) (exp.f64 (*.f64 (log.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) #s(literal 1/2 binary64)))) | |
| 41.2% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))) (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)))))))) | |
| 18.5% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| 76.8% | (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) (*.f64 y x)) | |
| 76.8% | (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z))) (*.f64 y x)) | |
| 37.2% | (*.f64 (/.f64 (*.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) z) | |
| 76.8% | (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a z))) (*.f64 y x)) | |
| 24.0% | (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (/ a z) (* -1/2 t)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) (*.f64 y x)) | |
| 33.4% | (*.f64 (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) (*.f64 x z)) | |
| 76.6% | (*.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 z)))) (*.f64 y x)) | |
| 33.2% | (*.f64 (*.f64 (/.f64 z (pow.f64 (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) x) y) | |
| ✓ | 66.2% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
| 37.4% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) | |
| ✓ | 32.3% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) y) |
| 76.1% | (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) | |
| 68.4% | (*.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (*.f64 x y))) | |
| 58.0% | (*.f64 (neg.f64 x) (*.f64 (*.f64 z y) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) | |
| 76.8% | (*.f64 (exp.f64 (-.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) (*.f64 y x)) | |
| 69.4% | (*.f64 (exp.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 2 binary64)) (*.f64 (log.f64 z) (+.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))) (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))))) #s(literal -1 binary64))) (*.f64 y x)) | |
| 69.4% | (*.f64 (exp.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 2 binary64)) (*.f64 (log.f64 z) (+.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))))) #s(literal -1 binary64))) (*.f64 y x)) | |
| 76.8% | (*.f64 (exp.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) (*.f64 y x)) | |
| ✓ | 38.1% | (*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
| 8.0% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) | |
| 14.1% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y))) | |
| 13.8% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 x (/.f64 #s(literal -1 binary64) y))) | |
| 16.9% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x y)))) | |
| 68.5% | #s(approx (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (*.f64 x y)) |
Compiled 2 162 to 821 computations (62% saved)
| Inputs |
|---|
#s(approx (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (*.f64 x y)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) x) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x y)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) y) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) |
(*.f64 (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 z x)) |
(*.f64 (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) (*.f64 x z)) |
(*.f64 (/.f64 (*.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) |
(*.f64 (/.f64 (*.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (/ a z) (* -1/2 t)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a z))) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(/.f64 (*.f64 y x) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) z)) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 y x) t) a) z) (*.f64 y x))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 z) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 z y) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) |
(*.f64 (neg.f64 z) (*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) |
(*.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (*.f64 x y))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))) (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)))))))) |
(*.f64 x (/.f64 (*.f64 z y) (pow.f64 (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 z (pow.f64 (pow.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) x) y) |
(/.f64 (*.f64 (*.f64 x y) z) (exp.f64 (*.f64 (log.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 x y) z) (exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #s(literal -1/2 binary64))))) |
(*.f64 (exp.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) (*.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 z (*.f64 y x)))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) (*.f64 y x)) |
(*.f64 (exp.f64 (-.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) (*.f64 y x)) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) (*.f64 y x)) |
(*.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 z)))) (*.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z))) (*.f64 y x)) |
(*.f64 (exp.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 2 binary64)) (*.f64 (log.f64 z) (+.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))))) #s(literal -1 binary64))) (*.f64 y x)) |
(*.f64 (exp.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 2 binary64)) (*.f64 (log.f64 z) (+.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))) (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))))) #s(literal -1 binary64))) (*.f64 y x)) |
| Outputs |
|---|
(*.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 z) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
8 calls:
| 72.0ms | t |
| 69.0ms | a |
| 65.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 65.0ms | z |
| 39.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.8% | 1 | x |
| 76.8% | 1 | y |
| 90.6% | 2 | z |
| 76.8% | 1 | t |
| 81.2% | 3 | a |
| 90.0% | 3 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 76.8% | 1 | (*.f64 x y) |
| 83.6% | 3 | (*.f64 t a) |
Compiled 25 to 49 computations (-96% saved)
| Inputs |
|---|
#s(approx (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (*.f64 x y)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) x) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x y)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) y) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) |
(*.f64 (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 z x)) |
(*.f64 (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) (*.f64 x z)) |
(*.f64 (/.f64 (*.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) |
(*.f64 (/.f64 (*.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (/ a z) (* -1/2 t)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a z))) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(/.f64 (*.f64 y x) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) z)) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 y x) t) a) z) (*.f64 y x))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
1 calls:
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.6% | 2 | z |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (*.f64 x y)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) x) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x y)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) y) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) |
(*.f64 (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 z x)) |
(*.f64 (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) (*.f64 x z)) |
(*.f64 (/.f64 (*.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) |
(*.f64 (/.f64 (*.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (/ a z) (* -1/2 t)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a z))) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
| Outputs |
|---|
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
1 calls:
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.2% | 3 | z |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (*.f64 x y)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) x) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x y)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) y) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) |
(*.f64 (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 z x)) |
(*.f64 (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) (*.f64 x z)) |
(*.f64 (/.f64 (*.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) |
(*.f64 (/.f64 (*.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (/ a z) (* -1/2 t)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a z))) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
| Outputs |
|---|
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
2 calls:
| 9.0ms | z |
| 8.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 3 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 89.8% | 3 | z |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (*.f64 x y)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) x) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x y)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) y) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) |
(*.f64 (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 z x)) |
(*.f64 (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) (*.f64 x z)) |
(*.f64 (/.f64 (*.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) |
(*.f64 (/.f64 (*.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (/ a z) (* -1/2 t)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) a z))) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(/.f64 (*.f64 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
| Outputs |
|---|
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)) |
1 calls:
| 35.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.4% | 2 | z |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (*.f64 x y)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) x) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x y)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) y) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) |
(*.f64 (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 z x)) |
(*.f64 (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) (*.f64 x z)) |
(*.f64 (/.f64 (*.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) |
(*.f64 (/.f64 (*.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (/ a z) (* -1/2 t)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) |
| Outputs |
|---|
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) |
1 calls:
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 2 | z |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (*.f64 x y)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) x) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x y)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) x) y) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) |
(*.f64 (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 z x)) |
(*.f64 (/.f64 y (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) (*.f64 x z)) |
(*.f64 (/.f64 (*.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) z) |
(*.f64 (/.f64 (*.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (/ a z) (* -1/2 t)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
| Outputs |
|---|
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) |
#s(approx (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (*.f64 x y)) |
1 calls:
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.0% | 2 | z |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (*.f64 x y)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) x) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x y)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
#s(approx (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (*.f64 x y)) |
8 calls:
| 33.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | a |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.5% | 1 | x |
| 68.5% | 1 | t |
| 68.5% | 1 | y |
| 68.5% | 1 | (*.f64 x y) |
| 68.5% | 1 | a |
| 68.5% | 1 | (*.f64 t a) |
| 68.5% | 1 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 70.6% | 2 | z |
Compiled 25 to 49 computations (-96% saved)
Total -35.1b remaining (-174.1%)
Threshold costs -35.1b (-174.1%)
| Inputs |
|---|
#s(approx (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (*.f64 x y)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (+ (* (neg a) t) (* z z)))) #s(literal 1 binary64)) y) x) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 x (/.f64 #s(literal -1 binary64) y))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) (*.f64 y (/.f64 x y)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 y y) x) (neg.f64 y))) |
| Outputs |
|---|
#s(approx (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (*.f64 x y)) |
2 calls:
| 36.0ms | z |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.5% | 1 | y |
| 68.5% | 1 | z |
Compiled 2 to 10 computations (-400% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 3.114485147614396e+41 | 5.403120407846837e+41 |
| 4.0ms | 64× | 0 | valid |
| 0.0ms | 1× | 0 | invalid |
Compiled 173 to 152 computations (12.1% saved)
ival-mult: 1.0ms (37.9% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3.746313086510461e+48 | 5.625221493007143e+52 |
| 9.0ms | 128× | 0 | valid |
| 0.0ms | 2× | 0 | invalid |
Compiled 313 to 268 computations (14.4% saved)
ival-mult: 3.0ms (54.5% of total)ival-sub: 1.0ms (18.2% of total)ival-div: 1.0ms (18.2% of total)ival-sqrt: 1.0ms (18.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.746313086510461e+48 | 5.625221493007143e+52 |
| 36.0ms | 1.5343790577598308e-135 | 7.492786105844343e-134 |
| 28.0ms | 112× | 0 | valid |
| 3.0ms | 40× | 0 | invalid |
Compiled 544 to 471 computations (13.4% saved)
ival-mult: 24.0ms (91.7% of total)ival-sub: 1.0ms (3.8% of total)ival-div: 1.0ms (3.8% of total)ival-sqrt: 1.0ms (3.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.746313086510461e+48 | 5.625221493007143e+52 |
| 30.0ms | 1.5343790577598308e-135 | 7.492786105844343e-134 |
| 5.0ms | 64× | 0 | valid |
| 2.0ms | 25× | 0 | invalid |
Compiled 544 to 471 computations (13.4% saved)
ival-mult: 2.0ms (54.6% of total)ival-sqrt: 1.0ms (27.3% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.268822275539926e-99 | 2.4204682546451365e-97 |
| 8.0ms | 112× | 0 | valid |
| 2.0ms | 26× | 0 | invalid |
Compiled 311 to 258 computations (17% saved)
ival-mult: 3.0ms (53.8% of total)ival-sub: 1.0ms (17.9% of total)ival-div: 1.0ms (17.9% of total)ival-sqrt: 1.0ms (17.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.268822275539926e-99 | 2.4204682546451365e-97 |
Compiled 311 to 258 computations (17% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 46.0ms | 1.3953757046406603e-94 | 9.314318166018756e-92 |
| 9.0ms | 128× | 0 | valid |
| 2.0ms | 28× | 0 | invalid |
Compiled 345 to 300 computations (13% saved)
ival-mult: 4.0ms (61.7% of total)ival-sub: 1.0ms (15.4% of total)ival-div: 1.0ms (15.4% of total)ival-sqrt: 1.0ms (15.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 6.951803234219674e-220 | 1.516132341791611e-219 |
| 6.0ms | 80× | 0 | valid |
| 2.0ms | 35× | 0 | invalid |
Compiled 212 to 190 computations (10.4% saved)
ival-mult: 3.0ms (65.2% of total)ival-sqrt: 1.0ms (21.7% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 408 |
| 1 | 107 | 408 |
| 2 | 155 | 406 |
| 3 | 219 | 400 |
| 4 | 329 | 400 |
| 5 | 567 | 400 |
| 6 | 1043 | 400 |
| 7 | 6064 | 400 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 z #s(literal 520000000000000010961170199745673979494400 binary64)) (*.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 z) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 29999999999999999796628460230848839293851253258321920 binary64)) (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 1268438860559755/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) (*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) (if (<=.f64 z #s(literal 29999999999999999796628460230848839293851253258321920 binary64)) (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)))) |
(if (<=.f64 z #s(literal 4910085911844213/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) (*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) (if (<=.f64 z #s(literal 29999999999999999796628460230848839293851253258321920 binary64)) (*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)))) |
(if (<=.f64 z #s(literal 2308711300569989/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) (*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 2308711300569989/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) (*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y)) |
(if (<=.f64 z #s(literal 8807034685401875/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) (*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) #s(approx (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (*.f64 x y))) |
(if (<=.f64 z #s(literal 2384667789773889/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (*.f64 x y))) |
#s(approx (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (*.f64 x y)) |
| Outputs |
|---|
(if (<=.f64 z #s(literal 520000000000000010961170199745673979494400 binary64)) (*.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 z) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 520000000000000010961170199745673979494400 binary64)) (*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 29999999999999999796628460230848839293851253258321920 binary64)) (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 1268438860559755/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) (*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) (if (<=.f64 z #s(literal 29999999999999999796628460230848839293851253258321920 binary64)) (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)))) |
(if (<=.f64 z #s(literal 4910085911844213/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) (*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) (if (<=.f64 z #s(literal 29999999999999999796628460230848839293851253258321920 binary64)) (*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x)))) |
(if (<=.f64 z #s(literal 2308711300569989/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) (*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 2308711300569989/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) (*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y)) |
(if (<=.f64 z #s(literal 8807034685401875/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) (*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))))) #s(approx (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (*.f64 x y))) |
(if (<=.f64 z #s(literal 2384667789773889/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (*.f64 x y))) |
#s(approx (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* y x)) (*.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1147 | 7522 |
| 1 | 3755 | 7146 |
| 0 | 8645 | 6865 |
| 0 | 495 | 2495 |
| 1 | 1609 | 2432 |
| 2 | 6518 | 2338 |
| 0 | 8383 | 2236 |
| 0 | 41 | 262 |
| 0 | 63 | 259 |
| 1 | 197 | 259 |
| 2 | 1040 | 259 |
| 0 | 8727 | 259 |
| 0 | 41 | 206 |
| 0 | 69 | 206 |
| 1 | 199 | 206 |
| 2 | 989 | 206 |
| 0 | 8535 | 206 |
| 0 | 12 | 37 |
| 0 | 19 | 37 |
| 1 | 56 | 37 |
| 2 | 320 | 37 |
| 3 | 2703 | 37 |
| 0 | 8482 | 37 |
| 1× | fuel |
| 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 |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 441 to 655 computations (54.5% saved)
(sort t a)
Compiled 1 648 to 702 computations (57.4% saved)
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