
Time bar (total: 11.4s)
| 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)
| 1.3s | 8 256× | 0 | valid |
| 382.0ms | 1 992× | 0 | invalid |
ival-mult: 739.0ms (75% of total)ival-div: 88.0ms (8.9% of total)ival-sqrt: 87.0ms (8.8% of total)ival-sub: 58.0ms (5.9% of total)ival-true: 9.0ms (0.9% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 108 | 0 | - | 1 | (-7.473668734371138e+283 -8.823730092788616e+241 1.2934057719617532e-163 -2.3208587306498344e-276 1.9031668945337827e-43) | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
| 27 | 0 | - | 1 | (-9.662798268794593e+125 2.963114158217681e-276 -7.2431412859999685e-174 7.070699037330086e-83 -3.778883142246411e-101) | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 26 | 0 | - | 1 | (6.675146034706545e-236 6.8508841651564685e-87 -8.401504594985304e+126 -2.5644590250071e+68 -1.4978903476916069e+150) | (*.f64 (*.f64 x y) z) |
| 3 | 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 | 103 | 0 |
| ↳ | (-.f64 (*.f64 z z) (*.f64 t a)) | overflow | 103 | |
| ↳ | (*.f64 t a) | overflow | 28 | |
| ↳ | (*.f64 z z) | overflow | 83 | |
/.f64 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | o/n | 22 | 0 |
| ↳ | (*.f64 x y) | overflow | 39 | |
| ↳ | (*.f64 (*.f64 x y) z) | overflow | 50 | |
*.f64 | (*.f64 (*.f64 x y) z) | n*u | 15 | 0 |
*.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 | 4 | 0 |
| ↳ | (*.f64 x y) | underflow | 36 | |
| ↳ | (*.f64 (*.f64 x y) z) | underflow | 34 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) | uflow-rescue | 4 | 0 |
| ↳ | (-.f64 (*.f64 z z) (*.f64 t a)) | underflow | 4 | |
| ↳ | (*.f64 t a) | underflow | 24 | |
| ↳ | (*.f64 z z) | underflow | 44 | |
-.f64 | (-.f64 (*.f64 z z) (*.f64 t a)) | nan-rescue | 3 | 0 |
| ↳ | (*.f64 z z) | overflow | 83 | |
| ↳ | (*.f64 t a) | overflow | 28 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 98 | 1 |
| - | 30 | 127 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 98 | 0 | 1 |
| - | 30 | 0 | 127 |
| number | freq |
|---|---|
| 0 | 128 |
| 1 | 97 |
| 2 | 29 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 21.0ms | 256× | 0 | valid |
Compiled 160 to 50 computations (68.8% saved)
ival-mult: 6.0ms (52.2% of total)ival-div: 2.0ms (17.4% of total)ival-sqrt: 2.0ms (17.4% of total)ival-sub: 1.0ms (8.7% 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 | 1662 | 285 |
| 4 | 4345 | 285 |
| 5 | 6481 | 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 | 249 | 14 |
| 8 | 429 | 14 |
| 9 | 958 | 14 |
| 10 | 1287 | 14 |
| 11 | 2165 | 14 |
| 12 | 3188 | 14 |
| 13 | 3378 | 14 |
| 14 | 3400 | 14 |
| 15 | 3400 | 14 |
| 0 | 3400 | 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 |
|---|---|---|
| ▶ | 62.7% | (/.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 | 249 | 48 |
| 8 | 429 | 48 |
| 9 | 958 | 48 |
| 10 | 1287 | 48 |
| 11 | 2165 | 48 |
| 12 | 3188 | 48 |
| 13 | 3378 | 48 |
| 14 | 3400 | 48 |
| 15 | 3400 | 48 |
| 0 | 3400 | 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 | 0.5976562500000001 | (-.f64 (*.f64 z z) (*.f64 t a)) | |
| accuracy | 6.220016877070733 | (*.f64 (*.f64 x y) z) | |
| accuracy | 6.374196677180358 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| accuracy | 25.13126795324455 | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
| 34.0ms | 256× | 0 | valid |
Compiled 98 to 26 computations (73.5% saved)
ival-mult: 16.0ms (66.8% of total)ival-sqrt: 4.0ms (16.7% of total)ival-div: 2.0ms (8.4% of total)ival-sub: 1.0ms (4.2% 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 | x | @ | 0 | ((/ (* (* 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))) |
| 4.0ms | a | @ | inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a))) |
| 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))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 495 | 2495 |
| 1 | 1609 | 2432 |
| 2 | 6504 | 2414 |
| 0 | 8295 | 2311 |
| 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) x) (sqrt.f64 #s(literal -1 binary64))) y (*.f64 (*.f64 (*.f64 z z) #s(literal -1/2 binary64)) (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)))) x) (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (*.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)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (*.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 (fma.f64 (*.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)) x) (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 a t)) #s(literal -1/2 binary64)) (fma.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))))) (sqrt.f64 #s(literal -1 binary64))) x (*.f64 (*.f64 (*.f64 (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)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) x))) (*.f64 z z))) (*.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 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 a a) #s(literal -3/4 binary64))) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (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 (/ (* 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)))) |
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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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(pow z 2) |
(*.f64 z z) |
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(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
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(* -1 z) |
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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 (+ (* -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))))) |
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(* t (- (/ (pow z 2) t) a)) |
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(* -1 (* (sqrt (* a t)) (sqrt -1))) |
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(+ (* 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)) |
(fma.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (*.f64 z z) y)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y x) t) z))) a (*.f64 y x)) |
(+ (* 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)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 (/.f64 y z) (/.f64 x z)) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (*.f64 (*.f64 y x) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 z z) (*.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 z z) y)) (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))))))) a (*.f64 y x)) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -1/8 binary64)) (*.f64 t (/.f64 t (pow.f64 z #s(literal 3 binary64)))) (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z) |
(+ 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 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) 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 (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) y) (/.f64 x (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)))))) (fma.f64 (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (*.f64 (*.f64 (sqrt.f64 (/.f64 t (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 y (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))))) z) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))) |
(* 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 #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64)))) (*.f64 y x)) (*.f64 (pow.f64 z #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 t a)) (*.f64 y x)) (*.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))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 y x)) (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 z (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.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 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.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 #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)))) (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 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t))) (*.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 (-.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 | 8429 | 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 (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 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 (*.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 (*.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 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 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))) |
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(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
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(neg.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64))) (neg.f64 (fma.f64 a t (*.f64 z z))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t) (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64)))) (fma.f64 (*.f64 a t) (-.f64 (*.f64 a t) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (fma.f64 a t (*.f64 z z))))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64)))) (fma.f64 (neg.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 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (*.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t)) #s(literal 2 binary64)))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 a t (*.f64 z z)) (*.f64 a t))) (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 (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 14 836 to 1 859 computations (87.5% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 429 | 12 | 441 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 430 | 12 | 442 |
| Status | Accuracy | Program |
|---|---|---|
| 64.0% | (/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| 37.1% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) | |
| ▶ | 42.1% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
| ▶ | 72.8% | (/.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))) |
| 19.6% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| 62.2% | (*.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))) | |
| ▶ | 62.3% | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
| 66.6% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) | |
| ▶ | 63.1% | (*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
| 65.3% | (*.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 z) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) | |
| 60.3% | #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))) | |
| ▶ | 16.6% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
Compiled 440 to 348 computations (20.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| cost-diff | 0 | (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 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) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| 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 | 36 | 256 |
| 0 | 58 | 256 |
| 1 | 109 | 256 |
| 2 | 181 | 256 |
| 3 | 258 | 256 |
| 4 | 316 | 256 |
| 5 | 359 | 256 |
| 6 | 495 | 256 |
| 7 | 632 | 256 |
| 8 | 1062 | 256 |
| 9 | 2514 | 256 |
| 10 | 3899 | 256 |
| 11 | 4571 | 256 |
| 12 | 4939 | 256 |
| 13 | 5496 | 256 |
| 14 | 5978 | 256 |
| 15 | 7069 | 256 |
| 16 | 7637 | 256 |
| 17 | 7649 | 256 |
| 18 | 7649 | 256 |
| 19 | 7649 | 256 |
| 20 | 7649 | 256 |
| 21 | 7679 | 256 |
| 22 | 7687 | 256 |
| 23 | 7687 | 256 |
| 24 | 7791 | 256 |
| 0 | 8071 | 256 |
| 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 z z)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
x |
y |
z |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))) |
#s(approx (- (* z z) (* t a)) (*.f64 z z)) |
(*.f64 z z) |
(*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 z x) |
z |
x |
(/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
y |
(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) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(*.f64 y x) |
y |
x |
(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) |
z |
| 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 z z)))) |
(/.f64 (*.f64 z (*.f64 y x)) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(*.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 z z))) |
#s(approx (- (* z z) (* t a)) (*.f64 z z)) |
(*.f64 z z) |
(*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (/.f64 (*.f64 z x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) |
(*.f64 z x) |
z |
x |
(/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
y |
(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) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(*.f64 (/.f64 (*.f64 z x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) |
(/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(*.f64 y x) |
y |
x |
(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) |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 4.834066410517507 | (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| accuracy | 9.763902760470023 | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) | |
| accuracy | 25.13126795324455 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 0.09765625 | (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| accuracy | 5.912791971169716 | (*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) | |
| accuracy | 25.13126795324455 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| accuracy | 6.220016877070733 | (*.f64 (*.f64 x y) z) | |
| accuracy | 6.374196677180358 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| accuracy | 20.96607615290862 | #s(approx (- (* z z) (* t a)) (*.f64 z z)) | |
| accuracy | 25.13126795324455 | (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))) | |
| accuracy | 0 | (*.f64 (neg.f64 y) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 53.40618291018891 | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) | |
| accuracy | 1.477785696665764 | (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) | |
| accuracy | 6.220016877070733 | (*.f64 (*.f64 x y) z) | |
| accuracy | 6.374196677180358 | (/.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 | 21.240562131996704 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
| 56.0ms | 256× | 0 | valid |
Compiled 488 to 67 computations (86.3% saved)
ival-mult: 18.0ms (49% of total)ival-div: 6.0ms (16.3% of total)ival-add: 6.0ms (16.3% of total)ival-sqrt: 3.0ms (8.2% of total)ival-neg: 2.0ms (5.4% of total)ival-sub: 1.0ms (2.7% 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 z z)))) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))) |
(*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 z x) |
(/.f64 y (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 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(*.f64 y x) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
#s(approx (- (* z z) (* t a)) (*.f64 z z)) |
(neg.f64 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))))) |
(* x z) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* -1 y) |
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 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)))))))))) |
(* (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 (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))) |
(+ (* (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))))))) |
(+ (* (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))) (* x (* y (sqrt -1)))) |
(+ (* -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))))) |
(+ (* (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))))))) |
(+ (* (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))))))))) |
(* -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 z) |
(/ (+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) z) |
(/ (+ 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))))) z) |
(/ (+ 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)))))) z) |
(/ (* x y) z) |
(/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) 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 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) 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)))) z) |
(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 z)) |
(* -1 (/ (+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) z)) |
(* -1 (/ (+ 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))))) z)) |
(* -1 (/ (+ 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)))))) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) z)) |
(* -1 (/ (+ (* -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))) z)) |
(* -1 (/ (+ (* -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)) |
(* -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)))))))) |
(+ (* 1/2 (/ (* a (* t y)) (pow z 3))) (/ y z)) |
(+ (* t (+ (* -1/2 (* t (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a y) (pow z 3))))) (/ y z)) |
(+ (* t (+ (* 1/2 (/ (* a y) (pow z 3))) (* t (+ (* -1/2 (* t (* y (* z (+ (* -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 (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) (/ y z)) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 3))))) (/ (* x y) z)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* y (* z (+ (* -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 (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (/ (* x y) z)) |
(+ (* -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 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* y (+ (* 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 (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (+ (* 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 (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 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* y (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* y (* (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 4) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(+ (* -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))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* (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 4) (sqrt -1))))))) (pow t 3))) (+ (* -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)))))) |
(* -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)))))))) |
(+ (* a (+ (* -1/2 (* a (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t y) (pow z 3))))) (/ y z)) |
(+ (* a (+ (* 1/2 (/ (* t y) (pow z 3))) (* a (+ (* -1/2 (* a (* y (* z (+ (* -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 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ y z)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 3))))) (/ (* x y) z)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* y (* z (+ (* -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 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (/ (* x y) z)) |
(* -1 a) |
(+ (* -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 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* y (+ (* 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 (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (+ (* 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 (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 4) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* y (* (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 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* (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 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (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 | |
|---|---|---|---|---|
| 15.0ms | t | @ | 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 x) (/ y (sqrt (+ (* (neg a) t) (* z z))))) (* z x) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (* y x) (+ (* (* -1/2 t) (/ a z)) z) (- (* z z) (* t a)) (neg a)) |
| 8.0ms | t | @ | -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 x) (/ y (sqrt (+ (* (neg a) t) (* z z))))) (* z x) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (* y x) (+ (* (* -1/2 t) (/ a z)) z) (- (* z z) (* t a)) (neg a)) |
| 7.0ms | x | @ | 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 x) (/ y (sqrt (+ (* (neg a) t) (* z z))))) (* z x) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (* y x) (+ (* (* -1/2 t) (/ a z)) z) (- (* z z) (* t a)) (neg 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 x) (/ y (sqrt (+ (* (neg a) t) (* z z))))) (* z x) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (* y x) (+ (* (* -1/2 t) (/ a z)) z) (- (* z z) (* t a)) (neg a)) |
| 3.0ms | 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 x) (/ y (sqrt (+ (* (neg a) t) (* z z))))) (* z x) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (* y x) (+ (* (* -1/2 t) (/ a z)) z) (- (* z z) (* t a)) (neg a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 753 | 5172 |
| 1 | 2475 | 5007 |
| 2 | 6552 | 5001 |
| 0 | 8615 | 4791 |
| 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))))) |
(* x z) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* -1 y) |
(* y (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 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)))))))))) |
(* (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 (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))) |
(+ (* (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))))))) |
(+ (* (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))) (* x (* y (sqrt -1)))) |
(+ (* -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))))) |
(+ (* (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))))))) |
(+ (* (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))))))))) |
(* -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 z) |
(/ (+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) z) |
(/ (+ 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))))) z) |
(/ (+ 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)))))) z) |
(/ (* x y) z) |
(/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) 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 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) 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)))) z) |
(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 z)) |
(* -1 (/ (+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) z)) |
(* -1 (/ (+ 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))))) z)) |
(* -1 (/ (+ 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)))))) z)) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) z)) |
(* -1 (/ (+ (* -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))) z)) |
(* -1 (/ (+ (* -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)) |
(* -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)))))))) |
(+ (* 1/2 (/ (* a (* t y)) (pow z 3))) (/ y z)) |
(+ (* t (+ (* -1/2 (* t (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a y) (pow z 3))))) (/ y z)) |
(+ (* t (+ (* 1/2 (/ (* a y) (pow z 3))) (* t (+ (* -1/2 (* t (* y (* z (+ (* -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 (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) (/ y z)) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 3))))) (/ (* x y) z)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* y (* z (+ (* -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 (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (/ (* x y) z)) |
(+ (* -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 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* y (+ (* 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 (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (+ (* 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 (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 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* y (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* y (* (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 4) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* y (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(+ (* -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))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* (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 4) (sqrt -1))))))) (pow t 3))) (+ (* -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)))))) |
(* -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)))))))) |
(+ (* a (+ (* -1/2 (* a (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t y) (pow z 3))))) (/ y z)) |
(+ (* a (+ (* 1/2 (/ (* t y) (pow z 3))) (* a (+ (* -1/2 (* a (* y (* z (+ (* -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 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ y z)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 3))))) (/ (* x y) z)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* y (* z (+ (* -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 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (/ (* x y) z)) |
(* -1 a) |
(+ (* -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 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* y (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* y (+ (* 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 (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (+ (* 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 (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 4) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* y (* (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 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* (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 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (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)) |
(* x z) |
(*.f64 z x) |
(* (* x y) (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 x)) |
(* -1 y) |
(neg.f64 y) |
(* y (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)))) 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))) (fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (pow.f64 t #s(literal 3 binary64)))) y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 y x) (*.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 (/.f64 z (sqrt.f64 #s(literal -1 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 (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 (*.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 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 (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))) |
(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))))) |
(+ (* (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))))))) |
(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))))) |
(+ (* (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))))))))) |
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z |
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(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) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (pow.f64 z #s(literal 4 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 (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 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 t (pow.f64 a #s(literal 7 binary64)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (+ (* 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 (sqrt -1))))))) |
(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) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) (/.f64 x (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 x (*.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 y (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)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(*.f64 (fma.f64 (/.f64 t z) #s(literal -1/2 binary64) (/.f64 z a)) 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 #s(literal -1/2 binary64) (/.f64 (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 y x) (*.f64 (pow.f64 z #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 y x) (*.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 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))))) |
(* -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 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* y (* (pow z 4) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* y (* (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 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.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))) 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 4 binary64)) y) (sqrt.f64 #s(literal -1 binary64))))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) 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)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* (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 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (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))) y) x) (sqrt.f64 (/.f64 t a)) (*.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64)))) (*.f64 (*.f64 y x) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 y x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) (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)))))) |
(* -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 | 36 | 188 |
| 0 | 58 | 188 |
| 1 | 191 | 188 |
| 2 | 992 | 188 |
| 0 | 8388 | 188 |
| 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 z z)))) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))) |
(*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 z x) |
(/.f64 y (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 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(*.f64 y x) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
#s(approx (- (* z z) (* t a)) (*.f64 z z)) |
(neg.f64 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 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 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)) 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)) 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) 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 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 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 (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 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 y) (*.f64 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 #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 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 (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 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)) |
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(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 #s(literal -1/2 binary64) (/.f64 a z)) t) z) |
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) 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 (/.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 (pow.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64)) t) z) |
(fma.f64 t (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) z) |
(fma.f64 t (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) z) |
(fma.f64 z #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) 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 #s(literal -1/2 binary64) (/.f64 a z)) 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 #s(literal -1/2 binary64) (/.f64 a z)) 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 #s(literal -1/2 binary64) (/.f64 a z)) t) z) |
(+.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)) |
#s(approx (- (* z z) (* t a)) (*.f64 z z)) |
(*.f64 (neg.f64 (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) a) |
(*.f64 a #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 a a))) (neg.f64 a)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (neg.f64 (fma.f64 a a #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 a a)) a) |
(/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a))))) |
(/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 a a #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))) |
(neg.f64 a) |
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a a) a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) a) |
(+.f64 #s(literal 0 binary64) (neg.f64 a)) |
Compiled 20 017 to 2 286 computations (88.6% saved)
23 alts after pruning (21 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 669 | 17 | 686 |
| Fresh | 3 | 4 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 675 | 23 | 698 |
| Status | Accuracy | Program |
|---|---|---|
| 40.7% | (/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| 42.3% | (/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| 72.0% | (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) | |
| 37.1% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) | |
| 19.6% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| ▶ | 28.0% | (/.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)))) |
| ▶ | 80.9% | (/.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)) |
| 62.5% | (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) | |
| ▶ | 66.6% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
| 79.9% | (*.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) | |
| 66.8% | (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) | |
| 62.2% | (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z) | |
| 80.9% | (*.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))))) | |
| ✓ | 63.1% | (*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
| 71.8% | (*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) | |
| 65.3% | (*.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 z) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) | |
| ▶ | 61.9% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) z) |
| ▶ | 41.4% | (*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
| 41.0% | (*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) | |
| 69.7% | (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))) | |
| 5.4% | #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)))) | |
| 16.4% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) | |
| ✓ | 16.6% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
Compiled 891 to 689 computations (22.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | #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))) | |
| 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))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| cost-diff | 0 | (*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (*.f64 x (/.f64 y z)) | |
| cost-diff | 0 | #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) 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 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 384 | (/.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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 362 |
| 0 | 75 | 359 |
| 1 | 133 | 359 |
| 2 | 211 | 359 |
| 3 | 296 | 359 |
| 4 | 354 | 359 |
| 5 | 389 | 359 |
| 6 | 461 | 359 |
| 7 | 542 | 359 |
| 8 | 1092 | 359 |
| 9 | 2510 | 359 |
| 10 | 4880 | 359 |
| 11 | 5695 | 359 |
| 12 | 6277 | 359 |
| 13 | 6710 | 359 |
| 14 | 6899 | 359 |
| 15 | 6931 | 359 |
| 16 | 7133 | 359 |
| 17 | 7169 | 359 |
| 18 | 7169 | 359 |
| 19 | 7169 | 359 |
| 20 | 7169 | 359 |
| 0 | 8077 | 359 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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)) |
(*.f64 y x) |
y |
x |
(/.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 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 |
z |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) z) |
#s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) |
(*.f64 x (/.f64 y z)) |
x |
(/.f64 y z) |
y |
z |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
z |
(/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(*.f64 y x) |
y |
x |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))) |
#s(approx (- (* z z) (* t a)) (*.f64 z z)) |
(*.f64 z z) |
(/.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 x y) z) |
(*.f64 x y) |
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))) |
#s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) |
(*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) |
(*.f64 (/.f64 a z) #s(literal -1/2 binary64)) |
(/.f64 a z) |
a |
#s(literal -1/2 binary64) |
t |
(*.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 |
| Outputs |
|---|
(/.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)) |
(/.f64 (*.f64 z (*.f64 x y)) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(/.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) |
#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 |
z |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 y z) x)) z) |
#s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) |
#s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 y z) x)) |
(*.f64 x (/.f64 y z)) |
(*.f64 (/.f64 y z) x) |
x |
(/.f64 y z) |
y |
z |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(/.f64 (*.f64 z (*.f64 x y)) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
z |
(/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))) |
#s(approx (- (* z z) (* t a)) (*.f64 z z)) |
(*.f64 z z) |
(/.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 z (*.f64 x y)) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 z (*.f64 x y)) |
(*.f64 x y) |
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))) |
#s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t))) |
#s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) |
#s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)) |
(*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) |
(*.f64 (/.f64 a z) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 a z)) |
(/.f64 a z) |
a |
#s(literal -1/2 binary64) |
t |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
(/.f64 (*.f64 z (*.f64 x y)) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 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 |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0625 | (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| accuracy | 0.4902619730650353 | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) | |
| accuracy | 2.185937478475422 | (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) | |
| accuracy | 25.13126795324455 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| accuracy | 6.220016877070733 | (*.f64 (*.f64 x y) z) | |
| accuracy | 6.374196677180358 | (/.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)))) | |
| accuracy | 21.240562131996704 | #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))) | |
| accuracy | 40.53646867669875 | #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) | |
| accuracy | 4.834066410517507 | (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| accuracy | 9.763902760470023 | (*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) | |
| accuracy | 20.96607615290862 | #s(approx (- (* z z) (* t a)) (*.f64 z z)) | |
| accuracy | 25.13126795324455 | (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 3.167198089409669 | (*.f64 x (/.f64 y z)) | |
| accuracy | 9.763902760470023 | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) z) | |
| accuracy | 17.357095658336046 | #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) | |
| accuracy | 0.07421875 | (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) | |
| accuracy | 1.477785696665764 | (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) | |
| accuracy | 3.5674349877615077 | (/.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)) | |
| accuracy | 21.240562131996704 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
| 257.0ms | 256× | 0 | valid |
Compiled 637 to 89 computations (86% saved)
ival-mult: 188.0ms (88.8% of total)ival-div: 14.0ms (6.6% of total)ival-add: 3.0ms (1.4% of total)ival-sqrt: 3.0ms (1.4% of total)ival-sub: 1.0ms (0.5% of total)ival-neg: 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 |
|---|
(/.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)) |
(*.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) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) z) |
#s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) |
(*.f64 x (/.f64 y z)) |
(/.f64 y z) |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))) |
(/.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 x y) z) |
(*.f64 x y) |
#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 (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))) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
#s(approx (- (* z z) (* t a)) (*.f64 z z)) |
#s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) |
| Outputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(/ (* x y) z) |
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(/ y z) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 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)))))))))) |
(* (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) |
(* (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))) (* x (* y (sqrt -1)))) |
(+ (* -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))))) |
(+ (* (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))))))) |
(+ (* (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))) (* 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)))) |
1 |
(+ 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)))))) |
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))))))) |
(/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) 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 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) 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)))) z) |
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 (/ (+ (* -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 (* 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) |
(- (+ (* 1/8 (/ (* (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) |
(* -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 (/ (* x y) z)) |
(* -1 (/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) z)) |
(* -1 (/ (+ (* -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))) z)) |
(* -1 (/ (+ (* -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)) |
(* -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) |
(- (+ (* -1/2 (/ (* 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)) |
(+ 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)))))))) |
(+ 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)))))))) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 3))))) (/ (* x y) z)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* y (* z (+ (* -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 (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (/ (* x y) z)) |
(+ 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)))) (/ 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 (+ (* 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)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (+ (* 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 (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) 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 (* (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)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* (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 4) (sqrt -1))))))) (pow t 3))) (+ (* -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)))))) |
(+ (* -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)) |
(+ 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)))))))) |
(+ 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)))))))) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 3))))) (/ (* x y) z)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* y (* z (+ (* -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 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (/ (* x y) z)) |
(+ 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))) (/ 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 (+ (* 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)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (+ (* 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 (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))) (* 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 (+ (* 1/2 (* (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))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* (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 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (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 | |
|---|---|---|---|---|
| 8.0ms | a | @ | -inf | ((/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (* y x) (/ (sqrt (- (* z z) (* t a))) z) (sqrt (- (* z z) (* t a))) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (* x (/ y z)) (/ y z) (* z (/ (* y x) (sqrt (- (* z z) (* t a))))) (/ (* y x) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (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))) (+ (* (/ a z) (* -1/2 t)) z) (- (* z z) (* t a)) (+ (* (* -1/2 t) (/ a z)) z)) |
| 7.0ms | z | @ | inf | ((/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (* y x) (/ (sqrt (- (* z z) (* t a))) z) (sqrt (- (* z z) (* t a))) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (* x (/ y z)) (/ y z) (* z (/ (* y x) (sqrt (- (* z z) (* t a))))) (/ (* y x) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (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))) (+ (* (/ a z) (* -1/2 t)) z) (- (* z z) (* t a)) (+ (* (* -1/2 t) (/ a z)) z)) |
| 6.0ms | y | @ | -inf | ((/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (* y x) (/ (sqrt (- (* z z) (* t a))) z) (sqrt (- (* z z) (* t a))) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (* x (/ y z)) (/ y z) (* z (/ (* y x) (sqrt (- (* z z) (* t a))))) (/ (* y x) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (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))) (+ (* (/ a z) (* -1/2 t)) z) (- (* z z) (* t a)) (+ (* (* -1/2 t) (/ a z)) z)) |
| 4.0ms | z | @ | -inf | ((/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (* y x) (/ (sqrt (- (* z z) (* t a))) z) (sqrt (- (* z z) (* t a))) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (* x (/ y z)) (/ y z) (* z (/ (* y x) (sqrt (- (* z z) (* t a))))) (/ (* y x) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (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))) (+ (* (/ a z) (* -1/2 t)) z) (- (* z z) (* t a)) (+ (* (* -1/2 t) (/ a z)) z)) |
| 4.0ms | t | @ | inf | ((/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (* y x) (/ (sqrt (- (* z z) (* t a))) z) (sqrt (- (* z z) (* t a))) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (* x (/ y z)) (/ y z) (* z (/ (* y x) (sqrt (- (* z z) (* t a))))) (/ (* y x) (sqrt (- (* z z) (* t a)))) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (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))) (+ (* (/ a z) (* -1/2 t)) z) (- (* z z) (* t a)) (+ (* (* -1/2 t) (/ a z)) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 985 | 7364 |
| 1 | 3284 | 7127 |
| 0 | 8166 | 6837 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(/ (* x y) z) |
(* (* x y) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(/ y z) |
(* (* y z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 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)))))))))) |
(* (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) |
(* (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))) (* x (* y (sqrt -1)))) |
(+ (* -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))))) |
(+ (* (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))))))) |
(+ (* (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))) (* 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)))) |
1 |
(+ 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)))))) |
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))))))) |
(/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) 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 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) 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)))) z) |
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 (/ (+ (* -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 (* 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) |
(- (+ (* 1/8 (/ (* (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) |
(* -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 (/ (* x y) z)) |
(* -1 (/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) z)) |
(* -1 (/ (+ (* -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))) z)) |
(* -1 (/ (+ (* -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)) |
(* -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) |
(- (+ (* -1/2 (/ (* 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)) |
(+ 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)))))))) |
(+ 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)))))))) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 3))))) (/ (* x y) z)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* y (* z (+ (* -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 (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (/ (* x y) z)) |
(+ 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)))) (/ 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 (+ (* 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)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (+ (* 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 (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) 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 (* (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)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* (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 4) (sqrt -1))))))) (pow t 3))) (+ (* -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)))))) |
(+ (* -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)) |
(+ 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)))))))) |
(+ 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)))))))) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 3))))) (/ (* x y) z)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* y (* z (+ (* -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 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (/ (* x y) z)) |
(+ 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))) (/ 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 (+ (* 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)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (+ (* 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 (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))) (* 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 (+ (* 1/2 (* (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))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* (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 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (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) |
(*.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)) |
(* (* x y) (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 x y)) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* (* x y) (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 x y)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(/ y z) |
(/.f64 y z) |
(* (* 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)) |
(* (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 (*.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)) y) x) (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)))))))))) |
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1 |
#s(literal 1 binary64) |
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z |
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y |
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-1 |
#s(literal -1 binary64) |
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(neg.f64 z) |
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(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 a #s(literal 3 binary64))) (pow.f64 t #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 (sqrt.f64 (/.f64 t a)) x) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) 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) (*.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 (* 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 a #s(literal 5 binary64))) (pow.f64 t #s(literal 3 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 a #s(literal 7 binary64))) (pow.f64 t #s(literal 5 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 a #s(literal 5 binary64))) (pow.f64 t #s(literal 3 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 (+ (* 1/2 (* (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 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 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* (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 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (fma.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 (*.f64 x y) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 t a)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) 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))) y) (*.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64)))) (*.f64 (*.f64 x y) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (neg.f64 (pow.f64 a #s(literal 3 binary64)))))) |
(+ (* -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 a #s(literal 3 binary64))) (pow.f64 t #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 (sqrt.f64 (/.f64 t a)) y) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) 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) (*.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 (/ (+ (* 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 a #s(literal 3 binary64))) (pow.f64 t #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 t a)) z) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) 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))) (*.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))))) (neg.f64 (pow.f64 a #s(literal 3 binary64)))))) |
(* -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 (fma.f64 (/.f64 (*.f64 z z) a) #s(literal -1 binary64) t) (neg.f64 a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 300 |
| 0 | 75 | 297 |
| 1 | 233 | 297 |
| 2 | 1193 | 297 |
| 0 | 8833 | 297 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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)) |
(*.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) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) z) |
#s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) |
(*.f64 x (/.f64 y z)) |
(/.f64 y z) |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))) |
(/.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 x y) z) |
(*.f64 x y) |
#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 (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))) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
#s(approx (- (* z z) (* t a)) (*.f64 z z)) |
#s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) #s(literal -1 binary64)) z) |
(*.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 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) y) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) (neg.f64 z)) |
(*.f64 (*.f64 #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 z y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (*.f64 (neg.f64 x) y)) (/.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 (/.f64 (neg.f64 x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) (neg.f64 z)) |
(*.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (*.f64 z (*.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (*.f64 z (*.f64 x y))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x y) (pow.f64 z #s(literal -1 binary64))) (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 #s(literal 1 binary64)) (/.f64 (*.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (/.f64 y (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) (/.f64 (neg.f64 x) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) (/.f64 x (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (*.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (/.f64 (neg.f64 y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (/.f64 x (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z))) |
(*.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.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 (*.f64 x y) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.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 (neg.f64 y) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.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 y (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) #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 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (neg.f64 z)) |
(*.f64 (*.f64 x z) (/.f64 y #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 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) 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)) (/.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)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (*.f64 z y)) |
(*.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 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) y) |
(*.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 z y) (/.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 x y) (/.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 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (pow.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
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(*.f64 (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 z (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))) |
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(*.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)))) (/.f64 #s(literal 1 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 #s(literal -1/2 binary64) (/.f64 a z)) t))))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) 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))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) 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))) (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 #s(literal -1/2 binary64) (/.f64 a z)) t)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) 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 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 2 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 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) 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 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) 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 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) 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 #s(literal -1/2 binary64) (/.f64 a z)) t)))) |
(/.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 #s(literal -1/2 binary64) (/.f64 a z)) t))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) 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 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) z) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 3 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 #s(literal -1/2 binary64) (/.f64 a z)) t)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.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 #s(literal -1/2 binary64) (/.f64 a z)) t)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z)) (*.f64 z z))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) 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 #s(literal -1/2 binary64) (/.f64 a z)) t))) |
(/.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 #s(literal -1/2 binary64) (/.f64 a z)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) 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 #s(literal -1/2 binary64) (/.f64 a z)) t)))))) |
(/.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 #s(literal -1/2 binary64) (/.f64 a z)) t (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)) (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 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) 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 #s(literal -1/2 binary64) t) (/.f64 a z) 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 #s(literal -1/2 binary64) (/.f64 a z)) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) 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 #s(literal -1/2 binary64) (/.f64 a z)) t))))) |
(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 #s(literal -1/2 binary64) (/.f64 a z)) 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 #s(literal -1/2 binary64) (/.f64 a z)) t)))))) |
(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 #s(literal -1/2 binary64) (/.f64 a z)) t))))))) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) t) #s(literal -1 binary64)) (/.f64 (neg.f64 a) z) 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 (/.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 #s(literal -1/2 binary64) t) z) a z) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 t (pow.f64 a #s(literal -1 binary64))) z) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) 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 #s(literal -1 binary64) (neg.f64 z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)) |
(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 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) z) |
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 2 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 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) 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 z) (*.f64 #s(literal -1/2 binary64) t) z) |
(fma.f64 (*.f64 a t) (/.f64 #s(literal -1/2 binary64) z) 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) z) z) |
(fma.f64 a (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64)) t) z) |
(fma.f64 t (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) z) |
(fma.f64 z #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 2 binary64)) (-.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) 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 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) 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 #s(literal -1/2 binary64) (/.f64 a z)) t) z) |
(+.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)) |
#s(approx (- (* z z) (* t a)) (*.f64 z z)) |
#s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)) |
Compiled 22 876 to 2 664 computations (88.4% saved)
29 alts after pruning (25 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 667 | 16 | 683 |
| Fresh | 7 | 9 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 677 | 29 | 706 |
| Status | Accuracy | Program |
|---|---|---|
| 40.7% | (/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| 42.3% | (/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| 72.0% | (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) | |
| 37.1% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) | |
| 19.6% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| ✓ | 28.0% | (/.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)))) |
| ▶ | 80.9% | (/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) |
| ▶ | 74.3% | (/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
| 65.3% | (*.f64 (/.f64 (*.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) | |
| 78.0% | (*.f64 (/.f64 (*.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) y) | |
| ✓ | 66.6% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
| 23.2% | (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))) y) x) | |
| 62.2% | (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z) | |
| ▶ | 61.0% | (*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) |
| 80.9% | (*.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))))) | |
| ✓ | 63.1% | (*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
| 71.8% | (*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) | |
| 62.2% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 x y) z)) z) | |
| 61.9% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x (/.f64 z y))) z) | |
| 62.0% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) | |
| 54.9% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) | |
| 62.1% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) | |
| 61.9% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))) z) | |
| ▶ | 61.9% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) |
| 37.6% | (*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))) | |
| 78.4% | (*.f64 x (/.f64 (/.f64 y #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (pow.f64 z #s(literal -1 binary64)))) | |
| 29.1% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t))) (*.f64 z (*.f64 x y)))) #s(literal -1 binary64))) | |
| ▶ | 5.4% | #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)))) |
| ✓ | 16.6% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
Compiled 1 173 to 906 computations (22.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| cost-diff | 0 | (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| cost-diff | 0 | (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) | |
| cost-diff | 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)))) | |
| cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) (*.f64 y x)) | |
| cost-diff | 1664 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) | |
| cost-diff | 0 | (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))) | |
| cost-diff | 0 | #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) | |
| cost-diff | 448 | (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) | |
| cost-diff | 0 | #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 192 | (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) | |
| cost-diff | 384 | (/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) | |
| cost-diff | 12928 | (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 386 |
| 0 | 81 | 373 |
| 1 | 158 | 368 |
| 2 | 366 | 344 |
| 3 | 913 | 342 |
| 4 | 2940 | 340 |
| 5 | 6276 | 340 |
| 0 | 8374 | 340 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #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 x) |
y |
x |
(exp.f64 (*.f64 (log.f64 (/.f64 z #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 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) |
(log.f64 (/.f64 z #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 #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 |
#s(literal -1 binary64) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(*.f64 y x) |
y |
x |
#s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) |
#s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))) |
x |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) |
(neg.f64 y) |
y |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
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 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) |
#s(literal 0 binary64) |
(*.f64 (*.f64 y x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(+.f64 #s(literal 0 binary64) (*.f64 y x)) |
(*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
x |
(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) |
z |
y |
| Outputs |
|---|
(/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #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 z (*.f64 x y)) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(exp.f64 (*.f64 (log.f64 (/.f64 z #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 #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 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) |
(neg.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))))) |
(log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(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 z #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))) |
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(literal -1 binary64) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 y #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) x) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 y z) x)) z) |
#s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 y z) x)) |
(*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 y z) x) |
x |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 y z) |
(neg.f64 y) |
y |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
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)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(*.f64 (neg.f64 y) x) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) |
#s(literal 0 binary64) |
(*.f64 (*.f64 y x) (*.f64 y x)) |
(*.f64 (*.f64 (*.f64 x x) y) y) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(+.f64 #s(literal 0 binary64) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) |
(*.f64 (/.f64 (*.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(/.f64 (*.f64 z x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
x |
(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) |
z |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10546875 | (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| accuracy | 3.5741897927560853 | (*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) | |
| accuracy | 16.41746229271305 | (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) | |
| accuracy | 25.13126795324455 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.19988251953688402 | (*.f64 (*.f64 y x) (*.f64 y x)) | |
| accuracy | 34.27621128297049 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) | |
| accuracy | 53.40618291018891 | #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)))) | |
| accuracy | 0.203125 | (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) | |
| accuracy | 3.167198089409669 | (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))) | |
| accuracy | 9.763902760470023 | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) | |
| accuracy | 17.357095658336046 | #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 3.5674349877615077 | (/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) | |
| accuracy | 21.784255879938055 | #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) | |
| accuracy | 1.477785696665764 | (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) | |
| accuracy | 3.5674349877615077 | (/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) | |
| accuracy | 21.240562131996704 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) | |
| accuracy | 22.670366959158333 | (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
| 147.0ms | 115× | 2 | valid |
| 48.0ms | 96× | 0 | valid |
| 36.0ms | 45× | 1 | valid |
Compiled 692 to 100 computations (85.5% saved)
ival-log: 64.0ms (33.4% of total)ival-div: 47.0ms (24.5% of total)ival-mult: 45.0ms (23.5% of total)adjust: 13.0ms (6.8% of total)ival-sqrt: 6.0ms (3.1% of total)ival-sub: 5.0ms (2.6% of total)ival-exp: 4.0ms (2.1% of total)ival-add: 4.0ms (2.1% of total)ival-neg: 2.0ms (1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 z #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 x) (exp.f64 (*.f64 (log.f64 (/.f64 z #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 (log.f64 (/.f64 z #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 x) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
#s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) |
#s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(+.f64 #s(literal 0 binary64) (*.f64 y x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) |
#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 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(log.f64 (/.f64 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 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(*.f64 (*.f64 y x) (*.f64 y x)) |
| Outputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(/ (* x y) z) |
(* -1 (* x y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (pow x 2) (pow y 2)) |
(/ y z) |
(* (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) |
(* (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)))))))))) |
(* -1 (+ (log z) (log (* (sqrt (/ 1 (* a t))) (sqrt -1))))) |
(+ (* -1 (+ (log z) (log (* (sqrt (/ 1 (* a t))) (sqrt -1))))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(+ (* -1 (+ (log z) (log (* (sqrt (/ 1 (* a t))) (sqrt -1))))) (* (pow z 2) (+ (* -1/24 (* (pow z 2) (- (* -12 (/ (* a (* t (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (pow (sqrt -1) 2))) (* 3 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4)))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))) |
(+ (* -1 (+ (log z) (log (* (sqrt (/ 1 (* a t))) (sqrt -1))))) (* (pow z 2) (+ (* (pow z 2) (+ (* -1/24 (- (* -12 (/ (* a (* t (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (pow (sqrt -1) 2))) (* 3 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))) (* -1/720 (* (pow z 2) (- (+ (* -360 (/ (* a (* t (+ (* 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)))))) (pow (sqrt -1) 2))) (* -180 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (pow (sqrt -1) 4)))) (* 30 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 6)))))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) |
(+ (* -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))))) |
(+ (* (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))))))) |
(+ (* (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))) (* 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 (/ 1 (* a t))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* (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))))))) |
(+ (* (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))))))))) |
(+ (log z) (log (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(+ (log z) (+ (log (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))))) |
(+ (log z) (+ (log (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* (pow z 2) (- (* 1/24 (* (pow z 2) (- (* -12 (/ (* a (* t (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (pow (sqrt -1) 2))) (* 3 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4)))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2))))))))) |
(+ (log z) (+ (log (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* (pow z 2) (- (* (pow z 2) (+ (* 1/720 (* (pow z 2) (- (+ (* -360 (/ (* a (* t (+ (* 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)))))) (pow (sqrt -1) 2))) (* -180 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (pow (sqrt -1) 4)))) (* 30 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 6)))))))) (* 1/24 (- (* -12 (/ (* a (* t (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (pow (sqrt -1) 2))) (* 3 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2))))))))) |
(* -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 (/ (* 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)))))) |
(+ (* 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)) (* -1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 2)))) (pow z 2)) |
(/ (+ (* -1/2 (* a t)) (+ (* -1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 2))) (* -1/720 (/ (+ (* -360 (+ (* -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))))))))) (+ (* 30 (* (pow a 3) (pow t 3))) (* 180 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 4))))) (pow z 2)) |
(/ (+ (* -1/2 (* a t)) (+ (* -1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 2))) (+ (* -1/720 (/ (+ (* -360 (+ (* -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))))))))) (+ (* 30 (* (pow a 3) (pow t 3))) (* 180 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 4))) (* -1/40320 (/ (+ (* -20160 (+ (* -1 (* (pow a 4) (pow t 4))) (+ (* -1/2 (* a (* t (+ (* -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))))))))))) (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) 2))))) (+ (* -5040 (* (pow a 2) (* (pow t 2) (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))) (+ (* -5040 (pow (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) 2)) (+ (* -630 (* (pow a 4) (pow t 4))) (* 10080 (* a (* t (+ (* -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)))))) (pow z 2)) |
(/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) 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 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) 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)))) z) |
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)))))) |
(/ x z) |
(/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z) |
(/ (+ 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))))) z) |
(/ (+ 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 |
(* 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))))))) |
(* 1/2 (/ (* a t) (pow z 2))) |
(/ (+ (* 1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 2))) (* 1/2 (* a t))) (pow z 2)) |
(/ (+ (* 1/720 (/ (+ (* -360 (+ (* -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))))))))) (+ (* 30 (* (pow a 3) (pow t 3))) (* 180 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 4))) (+ (* 1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 2))) (* 1/2 (* a t)))) (pow z 2)) |
(/ (+ (* 1/40320 (/ (+ (* -20160 (+ (* -1 (* (pow a 4) (pow t 4))) (+ (* -1/2 (* a (* t (+ (* -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))))))))))) (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) 2))))) (+ (* -5040 (* (pow a 2) (* (pow t 2) (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))) (+ (* -5040 (pow (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) 2)) (+ (* -630 (* (pow a 4) (pow t 4))) (* 10080 (* a (* t (+ (* -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))) (+ (* 1/720 (/ (+ (* -360 (+ (* -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))))))))) (+ (* 30 (* (pow a 3) (pow t 3))) (* 180 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 4))) (+ (* 1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 2))) (* 1/2 (* a t))))) (pow z 2)) |
-1 |
(- (* 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) |
(+ (* -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 (log -1)) |
(+ (* -1 (log -1)) (* -1/2 (/ (* a t) (pow z 2)))) |
(+ (* -1 (log -1)) (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 4))))) |
(+ (* -1 (log -1)) (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 4))) (* -1/720 (/ (+ (* -360 (+ (* -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))))))))) (+ (* 30 (* (pow a 3) (pow t 3))) (* 180 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) z)) |
(* -1 (/ (+ (* -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))) z)) |
(* -1 (/ (+ (* -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)) |
(* -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 (/ x z)) |
(* -1 (/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z)) |
(* -1 (/ (+ 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))))) z)) |
(* -1 (/ (+ 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)) |
(* -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)))))))) |
(log -1) |
(+ (log -1) (* 1/2 (/ (* a t) (pow z 2)))) |
(+ (log -1) (+ (* 1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) |
(+ (log -1) (+ (* 1/720 (/ (+ (* -360 (+ (* -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))))))))) (+ (* 30 (* (pow a 3) (pow t 3))) (* 180 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (+ (* 1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(+ 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)))))))) |
(+ (* 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 (* t (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4)))))) (* -1/2 (/ a (pow z 2))))) |
(* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4))))) (* -1/6 (* t (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow a 3) (pow z 6))) (* 3/2 (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))))) |
(* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4))))) (* t (+ (* -1/6 (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow a 3) (pow z 6))) (* 3/2 (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* -1/24 (* t (+ (* -12 (* (pow z 2) (+ (* -1 (/ (pow a 4) (pow z 10))) (+ (* -1/2 (/ (* a (+ (* -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))))) (pow z 2))) (* 1/4 (* (pow z 2) (pow (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))) 2))))))) (+ (* -3 (* (pow z 4) (pow (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))) 2))) (+ (* -3 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))) (+ (* -3/8 (/ (pow a 4) (pow z 8))) (* 6 (* a (+ (* -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 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 3))))) (/ (* x y) z)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* y (* z (+ (* -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 (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (/ (* x y) z)) |
(+ x (* t (+ (* -1/2 (* t (* x (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 2)))))) |
(+ x (* t (+ (* 1/2 (/ (* a x) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* (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 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) |
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z)) |
(+ (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 3))))) (/ x z)) |
(+ (* t (+ (* 1/2 (/ (* a x) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* z (+ (* -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 (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) (/ x z)) |
(+ 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)))))))) |
(* t (+ (* 1/2 (* t (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4)))))) (* 1/2 (/ a (pow z 2))))) |
(* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* 1/6 (* t (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow a 3) (pow z 6))) (* 3/2 (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))) (* 1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4))))))))) |
(* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* 1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4))))) (* t (+ (* 1/24 (* t (+ (* -12 (* (pow z 2) (+ (* -1 (/ (pow a 4) (pow z 10))) (+ (* -1/2 (/ (* a (+ (* -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))))) (pow z 2))) (* 1/4 (* (pow z 2) (pow (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))) 2))))))) (+ (* -3 (* (pow z 4) (pow (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))) 2))) (+ (* -3 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))) (+ (* -3/8 (/ (pow a 4) (pow z 8))) (* 6 (* a (+ (* -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)))))))))))) (* 1/6 (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow a 3) (pow z 6))) (* 3/2 (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))))))) |
(* 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)))))) |
(+ (* -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 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* 1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2))))))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1/24 (/ (+ (* -12 (/ (* a (* t (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (pow (sqrt -1) 2))) (* -3 (/ (* (pow t 2) (pow z 4)) (* (pow a 2) (pow (sqrt -1) 4))))) (pow t 4))) (+ (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* 1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (+ (* 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 (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* 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 (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (+ (* 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 (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)))))) |
(log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* -1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2))))))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (+ (* -1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2))))) (* 1/24 (/ (+ (* -12 (/ (* a (* t (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (pow (sqrt -1) 2))) (* -3 (/ (* (pow t 2) (pow z 4)) (* (pow a 2) (pow (sqrt -1) 4))))) (pow t 4)))))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* -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))))))) |
(+ (* -1/2 (* (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 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (* -1/2 (/ (pow z 2) (* a t)))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1/2 (/ (pow z 2) (* a t))) (* -1/2 (/ (pow z 4) (* (pow a 2) (pow t 2)))))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1 (/ (+ (* 1/24 (/ (+ (* -3 (/ (* (pow t 2) (pow z 4)) (pow a 2))) (* 12 (* a (* t (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) t)) (* 1/2 (/ (* t (pow z 4)) (pow a 2)))) (pow t 3))) (* -1/2 (/ (pow z 2) (* a t))))) |
(+ (* -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))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* (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 4) (sqrt -1))))))) (pow t 3))) (+ (* -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)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* 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 (* (pow z 5) (sqrt -1)))))) (pow t 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)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* (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 (* (pow z 4) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (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))))))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (* 1/2 (/ (pow z 2) (* a t)))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* 1/2 (/ (pow z 2) (* a t))) (* 1/2 (/ (pow z 4) (* (pow a 2) (pow t 2)))))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (/ (* t (pow z 4)) (pow a 2))) (* -1/24 (/ (+ (* -3 (/ (* (pow t 2) (pow z 4)) (pow a 2))) (* 12 (* a (* t (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) t))) (pow t 3))) (* 1/2 (/ (pow z 2) (* a t))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(+ 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)))))))) |
(+ (* 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 (* a (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4)))))) (* -1/2 (/ t (pow z 2))))) |
(* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))) (* -1/6 (* a (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))))) |
(* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))) (* a (+ (* -1/6 (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* -1/24 (* a (+ (* -12 (* (pow z 2) (+ (* -1 (/ (pow t 4) (pow z 10))) (+ (* -1/2 (/ (* t (+ (* -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))))) (pow z 2))) (* 1/4 (* (pow z 2) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))))))) (+ (* -3 (* (pow z 4) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))) (+ (* -3 (/ (* (pow t 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))) (+ (* -3/8 (/ (pow t 4) (pow z 8))) (* 6 (* t (+ (* -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)))))))))))))))))) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 3))))) (/ (* x y) z)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* y (* z (+ (* -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 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (/ (* x y) z)) |
(+ x (* a (+ (* -1/2 (* a (* x (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 2)))))) |
(+ 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)))))))))))) |
(+ (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 3))))) (/ x z)) |
(+ (* a (+ (* 1/2 (/ (* t x) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* z (+ (* -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 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ x z)) |
(+ 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)))))))) |
(* a (+ (* 1/2 (* a (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4)))))) (* 1/2 (/ t (pow z 2))))) |
(* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* 1/6 (* a (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))) (* 1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))))))) |
(* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* 1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))) (* a (+ (* 1/24 (* a (+ (* -12 (* (pow z 2) (+ (* -1 (/ (pow t 4) (pow z 10))) (+ (* -1/2 (/ (* t (+ (* -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))))) (pow z 2))) (* 1/4 (* (pow z 2) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))))))) (+ (* -3 (* (pow z 4) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))) (+ (* -3 (/ (* (pow t 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))) (+ (* -3/8 (/ (pow t 4) (pow z 8))) (* 6 (* t (+ (* -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)))))))))))) (* 1/6 (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))))))) |
(* 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)))))) |
(+ (* -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 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1/24 (/ (+ (* -12 (/ (* a (* t (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (pow (sqrt -1) 2))) (* -3 (/ (* (pow a 2) (pow z 4)) (* (pow t 2) (pow (sqrt -1) 4))))) (pow a 4))) (+ (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* 1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (+ (* 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 (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* 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 (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (+ (* 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 (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)))))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (+ (* -1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2))))) (* 1/24 (/ (+ (* -12 (/ (* a (* t (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (pow (sqrt -1) 2))) (* -3 (/ (* (pow a 2) (pow z 4)) (* (pow t 2) (pow (sqrt -1) 4))))) (pow a 4)))))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* -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 (/ (+ (* 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 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1 (/ (+ (* 1/24 (/ (+ (* -3 (/ (* (pow a 2) (pow z 4)) (pow t 2))) (* 12 (* a (* t (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))) a)) (* 1/2 (/ (* a (pow z 4)) (pow t 2)))) (pow a 3))) (* -1/2 (/ (pow z 2) (* a t))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* (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 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(+ (* -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 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 4) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* (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 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (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))))))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (/ (* a (pow z 4)) (pow t 2))) (* -1/24 (/ (+ (* -3 (/ (* (pow a 2) (pow z 4)) (pow t 2))) (* 12 (* a (* t (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))) a))) (pow a 3))) (* 1/2 (/ (pow z 2) (* a t))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 116.0ms | t | @ | inf | ((exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1)) (/ (* y x) (exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1))) (* (log (/ z (sqrt (- (* z z) (* t a))))) -1) (* y x) (/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (/ (sqrt (- (* z z) (* t a))) z) (* (neg y) (/ -1 z)) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (* x (* (neg y) (/ -1 z))) (/ (- 0 (* (* y x) (* y x))) (+ 0 (* y x))) (+ 0 (* y x)) (- 0 (* (* y x) (* y x))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) z) y) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) z) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (log (/ z (sqrt (- (* z z) (* t a))))) (sqrt (- (* z z) (* t a))) (+ (* (* -1/2 t) (/ a z)) z) (* (* y x) (* y x))) |
| 102.0ms | z | @ | inf | ((exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1)) (/ (* y x) (exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1))) (* (log (/ z (sqrt (- (* z z) (* t a))))) -1) (* y x) (/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (/ (sqrt (- (* z z) (* t a))) z) (* (neg y) (/ -1 z)) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (* x (* (neg y) (/ -1 z))) (/ (- 0 (* (* y x) (* y x))) (+ 0 (* y x))) (+ 0 (* y x)) (- 0 (* (* y x) (* y x))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) z) y) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) z) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (log (/ z (sqrt (- (* z z) (* t a))))) (sqrt (- (* z z) (* t a))) (+ (* (* -1/2 t) (/ a z)) z) (* (* y x) (* y x))) |
| 21.0ms | a | @ | inf | ((exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1)) (/ (* y x) (exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1))) (* (log (/ z (sqrt (- (* z z) (* t a))))) -1) (* y x) (/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (/ (sqrt (- (* z z) (* t a))) z) (* (neg y) (/ -1 z)) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (* x (* (neg y) (/ -1 z))) (/ (- 0 (* (* y x) (* y x))) (+ 0 (* y x))) (+ 0 (* y x)) (- 0 (* (* y x) (* y x))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) z) y) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) z) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (log (/ z (sqrt (- (* z z) (* t a))))) (sqrt (- (* z z) (* t a))) (+ (* (* -1/2 t) (/ a z)) z) (* (* y x) (* y x))) |
| 10.0ms | a | @ | 0 | ((exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1)) (/ (* y x) (exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1))) (* (log (/ z (sqrt (- (* z z) (* t a))))) -1) (* y x) (/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (/ (sqrt (- (* z z) (* t a))) z) (* (neg y) (/ -1 z)) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (* x (* (neg y) (/ -1 z))) (/ (- 0 (* (* y x) (* y x))) (+ 0 (* y x))) (+ 0 (* y x)) (- 0 (* (* y x) (* y x))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) z) y) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) z) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (log (/ z (sqrt (- (* z z) (* t a))))) (sqrt (- (* z z) (* t a))) (+ (* (* -1/2 t) (/ a z)) z) (* (* y x) (* y x))) |
| 8.0ms | x | @ | -inf | ((exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1)) (/ (* y x) (exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1))) (* (log (/ z (sqrt (- (* z z) (* t a))))) -1) (* y x) (/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (/ (sqrt (- (* z z) (* t a))) z) (* (neg y) (/ -1 z)) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (* x (* (neg y) (/ -1 z))) (/ (- 0 (* (* y x) (* y x))) (+ 0 (* y x))) (+ 0 (* y x)) (- 0 (* (* y x) (* y x))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) z) y) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) z) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (log (/ z (sqrt (- (* z z) (* t a))))) (sqrt (- (* z z) (* t a))) (+ (* (* -1/2 t) (/ a z)) z) (* (* y x) (* y x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1367 | 11662 |
| 1 | 4612 | 11190 |
| 0 | 8536 | 10732 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(/ (* x y) z) |
(* -1 (* x y)) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (pow x 2) (pow y 2)) |
(/ y z) |
(* (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) |
(* (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)))))))))) |
(* -1 (+ (log z) (log (* (sqrt (/ 1 (* a t))) (sqrt -1))))) |
(+ (* -1 (+ (log z) (log (* (sqrt (/ 1 (* a t))) (sqrt -1))))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(+ (* -1 (+ (log z) (log (* (sqrt (/ 1 (* a t))) (sqrt -1))))) (* (pow z 2) (+ (* -1/24 (* (pow z 2) (- (* -12 (/ (* a (* t (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (pow (sqrt -1) 2))) (* 3 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4)))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))) |
(+ (* -1 (+ (log z) (log (* (sqrt (/ 1 (* a t))) (sqrt -1))))) (* (pow z 2) (+ (* (pow z 2) (+ (* -1/24 (- (* -12 (/ (* a (* t (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (pow (sqrt -1) 2))) (* 3 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))) (* -1/720 (* (pow z 2) (- (+ (* -360 (/ (* a (* t (+ (* 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)))))) (pow (sqrt -1) 2))) (* -180 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (pow (sqrt -1) 4)))) (* 30 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 6)))))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) |
(+ (* -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))))) |
(+ (* (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))))))) |
(+ (* (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))) (* 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 (/ 1 (* a t))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* (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))))))) |
(+ (* (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))))))))) |
(+ (log z) (log (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(+ (log z) (+ (log (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))))) |
(+ (log z) (+ (log (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* (pow z 2) (- (* 1/24 (* (pow z 2) (- (* -12 (/ (* a (* t (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (pow (sqrt -1) 2))) (* 3 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4)))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2))))))))) |
(+ (log z) (+ (log (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* (pow z 2) (- (* (pow z 2) (+ (* 1/720 (* (pow z 2) (- (+ (* -360 (/ (* a (* t (+ (* 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)))))) (pow (sqrt -1) 2))) (* -180 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (pow (sqrt -1) 4)))) (* 30 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 6)))))))) (* 1/24 (- (* -12 (/ (* a (* t (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (pow (sqrt -1) 2))) (* 3 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2))))))))) |
(* -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 (/ (* 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)))))) |
(+ (* 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)) (* -1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 2)))) (pow z 2)) |
(/ (+ (* -1/2 (* a t)) (+ (* -1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 2))) (* -1/720 (/ (+ (* -360 (+ (* -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))))))))) (+ (* 30 (* (pow a 3) (pow t 3))) (* 180 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 4))))) (pow z 2)) |
(/ (+ (* -1/2 (* a t)) (+ (* -1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 2))) (+ (* -1/720 (/ (+ (* -360 (+ (* -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))))))))) (+ (* 30 (* (pow a 3) (pow t 3))) (* 180 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 4))) (* -1/40320 (/ (+ (* -20160 (+ (* -1 (* (pow a 4) (pow t 4))) (+ (* -1/2 (* a (* t (+ (* -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))))))))))) (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) 2))))) (+ (* -5040 (* (pow a 2) (* (pow t 2) (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))) (+ (* -5040 (pow (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) 2)) (+ (* -630 (* (pow a 4) (pow t 4))) (* 10080 (* a (* t (+ (* -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)))))) (pow z 2)) |
(/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) 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 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) 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)))) z) |
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)))))) |
(/ x z) |
(/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z) |
(/ (+ 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))))) z) |
(/ (+ 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 |
(* 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))))))) |
(* 1/2 (/ (* a t) (pow z 2))) |
(/ (+ (* 1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 2))) (* 1/2 (* a t))) (pow z 2)) |
(/ (+ (* 1/720 (/ (+ (* -360 (+ (* -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))))))))) (+ (* 30 (* (pow a 3) (pow t 3))) (* 180 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 4))) (+ (* 1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 2))) (* 1/2 (* a t)))) (pow z 2)) |
(/ (+ (* 1/40320 (/ (+ (* -20160 (+ (* -1 (* (pow a 4) (pow t 4))) (+ (* -1/2 (* a (* t (+ (* -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))))))))))) (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) 2))))) (+ (* -5040 (* (pow a 2) (* (pow t 2) (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))) (+ (* -5040 (pow (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) 2)) (+ (* -630 (* (pow a 4) (pow t 4))) (* 10080 (* a (* t (+ (* -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))) (+ (* 1/720 (/ (+ (* -360 (+ (* -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))))))))) (+ (* 30 (* (pow a 3) (pow t 3))) (* 180 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 4))) (+ (* 1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 2))) (* 1/2 (* a t))))) (pow z 2)) |
-1 |
(- (* 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) |
(+ (* -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 (log -1)) |
(+ (* -1 (log -1)) (* -1/2 (/ (* a t) (pow z 2)))) |
(+ (* -1 (log -1)) (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 4))))) |
(+ (* -1 (log -1)) (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 4))) (* -1/720 (/ (+ (* -360 (+ (* -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))))))))) (+ (* 30 (* (pow a 3) (pow t 3))) (* 180 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) |
(* -1 (/ (* x y) z)) |
(* -1 (/ (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) z)) |
(* -1 (/ (+ (* -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))) z)) |
(* -1 (/ (+ (* -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)) |
(* -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 (/ x z)) |
(* -1 (/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z)) |
(* -1 (/ (+ 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))))) z)) |
(* -1 (/ (+ 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)) |
(* -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)))))))) |
(log -1) |
(+ (log -1) (* 1/2 (/ (* a t) (pow z 2)))) |
(+ (log -1) (+ (* 1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) |
(+ (log -1) (+ (* 1/720 (/ (+ (* -360 (+ (* -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))))))))) (+ (* 30 (* (pow a 3) (pow t 3))) (* 180 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (+ (* 1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(+ 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)))))))) |
(+ (* 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 (* t (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4)))))) (* -1/2 (/ a (pow z 2))))) |
(* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4))))) (* -1/6 (* t (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow a 3) (pow z 6))) (* 3/2 (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))))) |
(* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4))))) (* t (+ (* -1/6 (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow a 3) (pow z 6))) (* 3/2 (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* -1/24 (* t (+ (* -12 (* (pow z 2) (+ (* -1 (/ (pow a 4) (pow z 10))) (+ (* -1/2 (/ (* a (+ (* -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))))) (pow z 2))) (* 1/4 (* (pow z 2) (pow (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))) 2))))))) (+ (* -3 (* (pow z 4) (pow (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))) 2))) (+ (* -3 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))) (+ (* -3/8 (/ (pow a 4) (pow z 8))) (* 6 (* a (+ (* -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 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 3))))) (/ (* x y) z)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* y (* z (+ (* -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 (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (/ (* x y) z)) |
(+ x (* t (+ (* -1/2 (* t (* x (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 2)))))) |
(+ x (* t (+ (* 1/2 (/ (* a x) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* (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 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) |
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z)) |
(+ (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 3))))) (/ x z)) |
(+ (* t (+ (* 1/2 (/ (* a x) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* z (+ (* -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 (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) (/ x z)) |
(+ 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)))))))) |
(* t (+ (* 1/2 (* t (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4)))))) (* 1/2 (/ a (pow z 2))))) |
(* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* 1/6 (* t (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow a 3) (pow z 6))) (* 3/2 (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))) (* 1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4))))))))) |
(* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* 1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4))))) (* t (+ (* 1/24 (* t (+ (* -12 (* (pow z 2) (+ (* -1 (/ (pow a 4) (pow z 10))) (+ (* -1/2 (/ (* a (+ (* -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))))) (pow z 2))) (* 1/4 (* (pow z 2) (pow (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))) 2))))))) (+ (* -3 (* (pow z 4) (pow (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))) 2))) (+ (* -3 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))) (+ (* -3/8 (/ (pow a 4) (pow z 8))) (* 6 (* a (+ (* -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)))))))))))) (* 1/6 (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow a 3) (pow z 6))) (* 3/2 (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))))))) |
(* 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)))))) |
(+ (* -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 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* 1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2))))))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1/24 (/ (+ (* -12 (/ (* a (* t (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (pow (sqrt -1) 2))) (* -3 (/ (* (pow t 2) (pow z 4)) (* (pow a 2) (pow (sqrt -1) 4))))) (pow t 4))) (+ (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* 1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (+ (* 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 (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* 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 (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (+ (* 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 (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)))))) |
(log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* -1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2))))))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (+ (* -1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2))))) (* 1/24 (/ (+ (* -12 (/ (* a (* t (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (pow (sqrt -1) 2))) (* -3 (/ (* (pow t 2) (pow z 4)) (* (pow a 2) (pow (sqrt -1) 4))))) (pow t 4)))))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* -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))))))) |
(+ (* -1/2 (* (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 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (* -1/2 (/ (pow z 2) (* a t)))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1/2 (/ (pow z 2) (* a t))) (* -1/2 (/ (pow z 4) (* (pow a 2) (pow t 2)))))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1 (/ (+ (* 1/24 (/ (+ (* -3 (/ (* (pow t 2) (pow z 4)) (pow a 2))) (* 12 (* a (* t (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) t)) (* 1/2 (/ (* t (pow z 4)) (pow a 2)))) (pow t 3))) (* -1/2 (/ (pow z 2) (* a t))))) |
(+ (* -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))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 2) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* (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 4) (sqrt -1))))))) (pow t 3))) (+ (* -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)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 3) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 5) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* 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 (* (pow z 5) (sqrt -1)))))) (pow t 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)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* (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 (* (pow z 4) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (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))))))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (* 1/2 (/ (pow z 2) (* a t)))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* 1/2 (/ (pow z 2) (* a t))) (* 1/2 (/ (pow z 4) (* (pow a 2) (pow t 2)))))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (/ (* t (pow z 4)) (pow a 2))) (* -1/24 (/ (+ (* -3 (/ (* (pow t 2) (pow z 4)) (pow a 2))) (* 12 (* a (* t (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) t))) (pow t 3))) (* 1/2 (/ (pow z 2) (* a t))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(+ 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)))))))) |
(+ (* 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 (* a (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4)))))) (* -1/2 (/ t (pow z 2))))) |
(* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))) (* -1/6 (* a (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))))) |
(* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))) (* a (+ (* -1/6 (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* -1/24 (* a (+ (* -12 (* (pow z 2) (+ (* -1 (/ (pow t 4) (pow z 10))) (+ (* -1/2 (/ (* t (+ (* -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))))) (pow z 2))) (* 1/4 (* (pow z 2) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))))))) (+ (* -3 (* (pow z 4) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))) (+ (* -3 (/ (* (pow t 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))) (+ (* -3/8 (/ (pow t 4) (pow z 8))) (* 6 (* t (+ (* -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)))))))))))))))))) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 3))))) (/ (* x y) z)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* y (* z (+ (* -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 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (/ (* x y) z)) |
(+ x (* a (+ (* -1/2 (* a (* x (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 2)))))) |
(+ 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)))))))))))) |
(+ (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 3))))) (/ x z)) |
(+ (* a (+ (* 1/2 (/ (* t x) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* z (+ (* -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 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ x z)) |
(+ 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)))))))) |
(* a (+ (* 1/2 (* a (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4)))))) (* 1/2 (/ t (pow z 2))))) |
(* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* 1/6 (* a (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))) (* 1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))))))) |
(* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* 1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))) (* a (+ (* 1/24 (* a (+ (* -12 (* (pow z 2) (+ (* -1 (/ (pow t 4) (pow z 10))) (+ (* -1/2 (/ (* t (+ (* -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))))) (pow z 2))) (* 1/4 (* (pow z 2) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))))))) (+ (* -3 (* (pow z 4) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))) (+ (* -3 (/ (* (pow t 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))) (+ (* -3/8 (/ (pow t 4) (pow z 8))) (* 6 (* t (+ (* -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)))))))))))) (* 1/6 (+ (* -3 (* (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)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))))))) |
(* 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)))))) |
(+ (* -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 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1/24 (/ (+ (* -12 (/ (* a (* t (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (pow (sqrt -1) 2))) (* -3 (/ (* (pow a 2) (pow z 4)) (* (pow t 2) (pow (sqrt -1) 4))))) (pow a 4))) (+ (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* 1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 4))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (+ (* 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 (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 3)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 5)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* 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 (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (+ (* 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 (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)))))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (+ (* -1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2))))) (* 1/24 (/ (+ (* -12 (/ (* a (* t (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (pow (sqrt -1) 2))) (* -3 (/ (* (pow a 2) (pow z 4)) (* (pow t 2) (pow (sqrt -1) 4))))) (pow a 4)))))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* -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 (/ (+ (* 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 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1 (/ (+ (* 1/24 (/ (+ (* -3 (/ (* (pow a 2) (pow z 4)) (pow t 2))) (* 12 (* a (* t (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))) a)) (* 1/2 (/ (* a (pow z 4)) (pow t 2)))) (pow a 3))) (* -1/2 (/ (pow z 2) (* a t))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* (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 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(+ (* -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 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 4) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* (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 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (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))))))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (/ (* a (pow z 4)) (pow t 2))) (* -1/24 (/ (+ (* -3 (/ (* (pow a 2) (pow z 4)) (pow t 2))) (* 12 (* a (* t (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))) a))) (pow a 3))) (* 1/2 (/ (pow z 2) (* a 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 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* x y) |
(*.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 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 x y)) |
(/ (* x y) z) |
(/.f64 (*.f64 x y) z) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 (*.f64 y y)) (*.f64 x x)) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x x)) |
(/ y z) |
(/.f64 y z) |
(* (sqrt (* a t)) (/ (sqrt -1) z)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (*.f64 a t))) |
(/ (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) z) |
(/.f64 (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 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a t)))) 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) |
(/.f64 (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 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a t)))) 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 (*.f64 z z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 t #s(literal 5 binary64))))) #s(literal 1/16 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 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a t)))) 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 (*.f64 (*.f64 x y) (*.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 (*.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)))))))))) |
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(* 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 (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)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (*.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))))) 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 (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)) (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 a #s(literal 5 binary64))) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (*.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)))))) a) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (+ (* -1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2))))) (* 1/24 (/ (+ (* -12 (/ (* a (* t (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (pow (sqrt -1) 2))) (* -3 (/ (* (pow a 2) (pow z 4)) (* (pow t 2) (pow (sqrt -1) 4))))) (pow a 4)))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 z a) (/.f64 (neg.f64 z) t) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 a a)) (neg.f64 (*.f64 t t)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 a t) (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) 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))))) #s(literal -1 binary64)) #s(literal -12 binary64) (*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) t) (/.f64 (*.f64 a a) t)))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1/24 binary64) (log.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(*.f64 (fma.f64 (/.f64 t z) #s(literal -1/2 binary64) (/.f64 z a)) a) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z))))) |
(*.f64 (neg.f64 a) (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)))) |
(* -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 (neg.f64 a) (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 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))))) |
(* -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 (neg.f64 a) (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 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 a #s(literal 5 binary64))) (pow.f64 t #s(literal 3 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)))))) |
(+ (* -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 a #s(literal 3 binary64))) (pow.f64 t #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 (sqrt.f64 (/.f64 t a)) x) (*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) 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) (*.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 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1 (/ (+ (* 1/24 (/ (+ (* -3 (/ (* (pow a 2) (pow z 4)) (pow t 2))) (* 12 (* a (* t (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))) a)) (* 1/2 (/ (* a (pow z 4)) (pow t 2)))) (pow a 3))) (* -1/2 (/ (pow z 2) (* a t))))) |
(-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 z z) t) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) t) (/.f64 (*.f64 a a) t)) #s(literal -3 binary64) (*.f64 (*.f64 (*.f64 a t) (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) 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))))) #s(literal 12 binary64))) a) #s(literal 1/24 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) t) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) a) t))) (neg.f64 (pow.f64 a #s(literal 3 binary64))))) (log.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 4) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* (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 2) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (fma.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 (*.f64 x y) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 t a)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) 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))) y) (*.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64)))) (*.f64 (*.f64 x y) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (neg.f64 (pow.f64 a #s(literal 3 binary64)))))) |
(+ (* -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)))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) x) (*.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 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 t a)) x) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) 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) (*.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) x) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 (pow.f64 a #s(literal 3 binary64)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 4) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* (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 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) x) (sqrt.f64 #s(literal -1 binary64)) (fma.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 (*.f64 (*.f64 z z) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 t a)) x) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) 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))) (*.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) x) (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))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(*.f64 (neg.f64 a) (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))))) |
(* -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 (neg.f64 a) (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)))))) |
(* -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 (neg.f64 a) (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))))))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (/ (* a (pow z 4)) (pow t 2))) (* -1/24 (/ (+ (* -3 (/ (* (pow a 2) (pow z 4)) (pow t 2))) (* 12 (* a (* t (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))) a))) (pow a 3))) (* 1/2 (/ (pow z 2) (* a t))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) t) (/.f64 (*.f64 a a) t)) #s(literal -3 binary64) (*.f64 (*.f64 (*.f64 a t) (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) 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))))) #s(literal 12 binary64))) a) #s(literal -1/24 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) t) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) a) t))) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 z a) (/.f64 z t)) #s(literal 1/2 binary64) (log.f64 (*.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 (neg.f64 a) (fma.f64 (/.f64 t z) #s(literal 1/2 binary64) (/.f64 (neg.f64 z) a))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 316 |
| 0 | 81 | 295 |
| 1 | 287 | 274 |
| 2 | 1871 | 265 |
| 0 | 8543 | 265 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 z #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 x) (exp.f64 (*.f64 (log.f64 (/.f64 z #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 (log.f64 (/.f64 z #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 x) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
#s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) |
#s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(+.f64 #s(literal 0 binary64) (*.f64 y x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) |
#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 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(log.f64 (/.f64 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 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(*.f64 (*.f64 y x) (*.f64 y x)) |
| Outputs |
|---|
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.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 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.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 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.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 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) (pow.f64 (*.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal -4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) y) x) (/.f64 (*.f64 (*.f64 x x) y) x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 x x) y) x) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x y) (*.f64 x y) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 (*.f64 x y) y) #s(literal 0 binary64)) |
(fma.f64 y (*.f64 y (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 y (*.f64 (*.f64 x x) y) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) |
Compiled 58 875 to 6 208 computations (89.5% saved)
39 alts after pruning (32 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 561 | 14 | 1 575 |
| Fresh | 2 | 18 | 20 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 565 | 39 | 1 604 |
| Status | Accuracy | Program |
|---|---|---|
| 62.4% | (/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y) x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) | |
| 80.9% | (/.f64 (*.f64 (/.f64 (*.f64 x y) y) (/.f64 (*.f64 x y) x)) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) | |
| 42.3% | (/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| 72.0% | (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) | |
| 37.1% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) | |
| 19.6% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| ✓ | 28.0% | (/.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)))) |
| 61.6% | (/.f64 (*.f64 y (/.f64 (*.f64 x x) x)) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) | |
| 80.9% | (/.f64 (*.f64 y x) (pow.f64 (exp.f64 #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)))))) | |
| 80.9% | (/.f64 (*.f64 y x) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.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 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.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 2 binary64))))) | |
| 80.6% | (/.f64 (*.f64 y x) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))))) | |
| 80.8% | (/.f64 (*.f64 y x) (exp.f64 (-.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (log.f64 z)))) | |
| 73.4% | (/.f64 (*.f64 y x) (exp.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (fma.f64 (log.f64 z) (log.f64 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 2 binary64)) (*.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)) (fma.f64 (log.f64 z) (log.f64 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 2 binary64)) (*.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)))) | |
| 80.9% | (/.f64 (*.f64 y x) (exp.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)))) | |
| ✓ | 74.3% | (/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
| 74.1% | (/.f64 y (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) x)) | |
| 74.4% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) y) x)) | |
| 65.3% | (*.f64 (/.f64 (*.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) | |
| 78.0% | (*.f64 (/.f64 (*.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) y) | |
| ✓ | 66.6% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
| 23.2% | (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))) y) x) | |
| 62.2% | (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z) | |
| ✓ | 61.0% | (*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) |
| 80.9% | (*.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))))) | |
| 58.0% | (*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y) | |
| ✓ | 63.1% | (*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
| 71.8% | (*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) | |
| 62.2% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 x y) z)) z) | |
| 61.9% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x (/.f64 z y))) z) | |
| 62.0% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) | |
| 54.9% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) | |
| 62.1% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))) z) | |
| 61.9% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))) z) | |
| ✓ | 61.9% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) |
| 37.6% | (*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))) | |
| 78.4% | (*.f64 x (/.f64 (/.f64 y #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (pow.f64 z #s(literal -1 binary64)))) | |
| 29.1% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t))) (*.f64 z (*.f64 x y)))) #s(literal -1 binary64))) | |
| 5.9% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) | |
| ✓ | 16.6% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
Compiled 2 461 to 960 computations (61% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 x y) z)) z) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y) |
(/.f64 y (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x (/.f64 z y))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) |
(/.f64 (*.f64 y (/.f64 (*.f64 x x) x)) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) y) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z y) x) (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 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))) 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))) y) x) |
(*.f64 (/.f64 (*.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) y) |
(/.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 x) y) #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 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(*.f64 (/.f64 (*.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(/.f64 (*.f64 (*.f64 x y) z) (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 (*.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)) |
(*.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 x (/.f64 (/.f64 y #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (pow.f64 z #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t))) (*.f64 z (*.f64 x y)))) #s(literal -1 binary64))) |
(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 (*.f64 y x) (exp.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 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #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 (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 (*.f64 (/.f64 (*.f64 x y) y) (/.f64 (*.f64 x y) x)) (exp.f64 (*.f64 (log.f64 (/.f64 z #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 x) (exp.f64 (-.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (log.f64 z)))) |
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 #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 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y) x) (exp.f64 (*.f64 (log.f64 (/.f64 z #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 x) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 #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 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.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 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.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 2 binary64))))) |
(/.f64 (*.f64 y x) (exp.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (fma.f64 (log.f64 z) (log.f64 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 2 binary64)) (*.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)) (fma.f64 (log.f64 z) (log.f64 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 2 binary64)) (*.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)))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(/.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)) |
8 calls:
| 64.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 26.0ms | (*.f64 t a) |
| 19.0ms | t |
| 19.0ms | (*.f64 x y) |
| 19.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.9% | 1 | x |
| 83.6% | 2 | y |
| 95.1% | 2 | z |
| 84.3% | 3 | t |
| 80.9% | 1 | a |
| 94.2% | 3 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 80.9% | 1 | (*.f64 x y) |
| 87.0% | 3 | (*.f64 t a) |
Compiled 25 to 49 computations (-96% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 x y) z)) z) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y) |
(/.f64 y (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x (/.f64 z y))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) |
(/.f64 (*.f64 y (/.f64 (*.f64 x x) x)) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) y) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z y) x) (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 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))) 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))) y) x) |
(*.f64 (/.f64 (*.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) y) |
(/.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 x) y) #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 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(*.f64 (/.f64 (*.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(/.f64 (*.f64 (*.f64 x y) z) (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))))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) 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))) y) x) |
1 calls:
| 13.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.7% | 2 | z |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 x y) z)) z) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y) |
(/.f64 y (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x (/.f64 z y))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) |
(/.f64 (*.f64 y (/.f64 (*.f64 x x) x)) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) y) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z y) x) (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 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))) 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))) y) x) |
(*.f64 (/.f64 (*.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) y) |
(/.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 x) y) #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 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
| Outputs |
|---|
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) |
(*.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) |
1 calls:
| 33.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 2 | z |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 x y) z)) z) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y) |
(/.f64 y (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x (/.f64 z y))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) |
(/.f64 (*.f64 y (/.f64 (*.f64 x x) x)) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) y) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z y) x) (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 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))) 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))) y) x) |
(*.f64 (/.f64 (*.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) y) |
(/.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 x) y) #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 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) x) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) 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))) y) x) |
1 calls:
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.0% | 2 | z |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 x y) z)) z) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y) |
(/.f64 y (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x (/.f64 z y))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) |
(/.f64 (*.f64 y (/.f64 (*.f64 x x) x)) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) y) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z y) x) (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 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))) 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))) y) x) |
(*.f64 (/.f64 (*.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) y) |
(/.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 x) y) #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 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z) |
(*.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) |
2 calls:
| 32.0ms | z |
| 9.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.0% | 4 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 91.0% | 2 | z |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 x y) z)) z) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y) |
(/.f64 y (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x (/.f64 z y))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) |
(/.f64 (*.f64 y (/.f64 (*.f64 x x) x)) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) y) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z y) x) (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 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))) 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))) y) x) |
(*.f64 (/.f64 (*.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) y) |
(/.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 x) y) #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 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) |
(*.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) |
1 calls:
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.7% | 2 | z |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 x y) z)) z) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y) |
(/.f64 y (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x (/.f64 z y))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) |
(/.f64 (*.f64 y (/.f64 (*.f64 x x) x)) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) y) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z y) x) (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 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))) 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))) y) x) |
(*.f64 (/.f64 (*.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) y) |
(/.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 x) y) #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 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.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) |
1 calls:
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.4% | 2 | z |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 x y) z)) z) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y) |
(/.f64 y (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x (/.f64 z y))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) |
(/.f64 (*.f64 y (/.f64 (*.f64 x x) x)) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) y) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z y) x) (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 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))) 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))) y) x) |
(*.f64 (/.f64 (*.f64 x z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) y) |
(/.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 x) y) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
| Outputs |
|---|
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))) |
(*.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) |
2 calls:
| 14.0ms | z |
| 9.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.2% | 3 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 87.3% | 2 | z |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 x y) z)) z) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y) |
(/.f64 y (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x (/.f64 z y))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) |
(/.f64 (*.f64 y (/.f64 (*.f64 x x) x)) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) y) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z y) x) (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 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))) 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 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
1 calls:
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.1% | 2 | z |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 x y) z)) z) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y) |
(/.f64 y (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x (/.f64 z y))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) |
(/.f64 (*.f64 y (/.f64 (*.f64 x x) x)) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) y) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 x (/.f64 (*.f64 z y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z))))) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 z y) x) (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 y (/.f64 (*.f64 x x) x)) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
8 calls:
| 14.0ms | (*.f64 t a) |
| 13.0ms | x |
| 8.0ms | y |
| 8.0ms | z |
| 8.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.4% | 1 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 74.4% | 1 | a |
| 74.4% | 1 | (*.f64 x y) |
| 74.4% | 1 | x |
| 74.4% | 1 | t |
| 74.4% | 1 | y |
| 76.2% | 2 | (*.f64 t a) |
| 77.1% | 2 | z |
Compiled 25 to 49 computations (-96% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 x y) z)) z) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y) |
(/.f64 y (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x (/.f64 z y))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z y)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
1 calls:
| 5.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.3% | 2 | z |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 x y) z)) z) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) z) y) |
(/.f64 y (/.f64 #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
8 calls:
| 12.0ms | (*.f64 t a) |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | t |
| 3.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.3% | 1 | y |
| 74.3% | 1 | (*.f64 x y) |
| 74.3% | 1 | x |
| 74.3% | 1 | t |
| 74.3% | 1 | a |
| 74.3% | 1 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 74.3% | 1 | (*.f64 t a) |
| 74.3% | 1 | z |
Compiled 25 to 49 computations (-96% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
| Outputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
8 calls:
| 13.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 1.0ms | a |
| 1.0ms | y |
| 1.0ms | t |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 16.6% | 1 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 16.6% | 1 | x |
| 16.6% | 1 | y |
| 16.6% | 1 | z |
| 16.6% | 1 | t |
| 16.6% | 1 | (*.f64 x y) |
| 16.6% | 1 | (*.f64 t a) |
| 16.6% | 1 | a |
Compiled 25 to 49 computations (-96% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 6.49307848201113e+24 | 7.37888278443586e+25 |
| 2.0ms | 32× | 0 | valid |
| 0.0ms | 6× | 0 | invalid |
Compiled 91 to 82 computations (9.9% saved)
ival-mult: 1.0ms (61.6% 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× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 6.49307848201113e+24 | 7.37888278443586e+25 |
| 3.0ms | 48× | 0 | valid |
| 0.0ms | 4× | 0 | invalid |
Compiled 202 to 175 computations (13.4% saved)
ival-mult: 1.0ms (46.1% 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 |
|---|---|---|
| 3.0ms | 6.49307848201113e+24 | 7.37888278443586e+25 |
| 1.0ms | 16× | 0 | valid |
| 0.0ms | 1× | 0 | invalid |
Compiled 239 to 206 computations (13.8% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 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 |
|---|---|---|
| 62.0ms | 9.554567615172931e+106 | 2.8386963231790666e+109 |
| 57.0ms | 128× | 0 | valid |
| 0.0ms | 2× | 0 | invalid |
Compiled 313 to 268 computations (14.4% saved)
ival-mult: 51.0ms (95.4% of total)ival-sub: 1.0ms (1.9% of total)ival-div: 1.0ms (1.9% of total)ival-sqrt: 1.0ms (1.9% 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 |
|---|---|---|
| 8.0ms | 2.9967077437237987e+35 | 5.42239289182554e+35 |
| 4.0ms | 64× | 0 | valid |
| 0.0ms | 7× | 0 | invalid |
Compiled 165 to 144 computations (12.7% saved)
ival-mult: 2.0ms (67.8% 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 |
|---|---|---|
| 1.0ms | 2.9967077437237987e+35 | 5.42239289182554e+35 |
Compiled 165 to 144 computations (12.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.554567615172931e+106 | 2.8386963231790666e+109 |
Compiled 313 to 268 computations (14.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 63.0ms | 1.0467627434941319e-95 | 8.06315212442306e-88 |
| 52.0ms | 144× | 0 | valid |
| 4.0ms | 53× | 0 | invalid |
Compiled 395 to 326 computations (17.5% saved)
ival-mult: 47.0ms (93.9% of total)ival-sub: 1.0ms (2% of total)ival-div: 1.0ms (2% of total)ival-sqrt: 1.0ms (2% 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 |
|---|---|---|
| 61.0ms | 8.06315212442306e-88 | 1.3421606865293192e-86 |
| 53.0ms | 112× | 0 | valid |
| 3.0ms | 49× | 0 | invalid |
Compiled 262 to 237 computations (9.5% saved)
ival-mult: 4.0ms (61.4% 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 |
|---|---|---|
| 17.0ms | 1.6686581947498335e-114 | 4.780382989690076e-113 |
| 8.0ms | 112× | 0 | valid |
| 4.0ms | 55× | 0 | invalid |
Compiled 269 to 244 computations (9.3% saved)
ival-mult: 4.0ms (60.3% of total)ival-sub: 1.0ms (15.1% of total)ival-div: 1.0ms (15.1% of total)ival-sqrt: 1.0ms (15.1% 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 |
|---|---|---|
| 61.0ms | 1.4991891627559258e-195 | 2.9019124893837004e-187 |
| 10.0ms | 144× | 0 | valid |
| 5.0ms | 79× | 0 | invalid |
Compiled 314 to 290 computations (7.6% saved)
ival-mult: 5.0ms (54.9% of total)ival-sub: 1.0ms (11% of total)ival-div: 1.0ms (11% of total)ival-sqrt: 1.0ms (11% 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 | 92 | 484 |
| 1 | 127 | 484 |
| 2 | 145 | 484 |
| 3 | 157 | 484 |
| 4 | 161 | 484 |
| 5 | 162 | 484 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 z #s(literal 40000000000000003623878656 binary64)) (*.f64 (/.f64 (*.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) (/.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))) |
(if (<=.f64 z #s(literal 69999999999999999899336704 binary64)) (*.f64 (/.f64 (*.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) 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))) y) x)) |
(if (<=.f64 z #s(literal 67999999999999996711665664 binary64)) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) (*.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)) |
(if (<=.f64 z #s(literal 265000000000000012920841878507961803295569022469924051862878455270634548228037883582988623886500839041269760 binary64)) (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) 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))) y) x)) |
(if (<=.f64 z #s(literal 540000000000000005198269871208529920 binary64)) (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z) (*.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)) |
(if (<=.f64 z #s(literal 540000000000000005198269871208529920 binary64)) (*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) (*.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)) |
(if (<=.f64 z #s(literal 265000000000000012920841878507961803295569022469924051862878455270634548228037883582988623886500839041269760 binary64)) (*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) (*.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)) |
(if (<=.f64 z #s(literal 6092105698723627/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))) (*.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)) |
(if (<=.f64 z #s(literal 5711349092553401/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776 binary64)) (*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))) (/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)))) |
(if (<=.f64 z #s(literal 4990805449417467/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (/.f64 (*.f64 y (/.f64 (*.f64 x x) x)) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) (/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)))) |
(if (<=.f64 z #s(literal 4520429290393133/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
| Outputs |
|---|
(if (<=.f64 z #s(literal 40000000000000003623878656 binary64)) (*.f64 (/.f64 (*.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) (/.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))) |
(if (<=.f64 z #s(literal 40000000000000003623878656 binary64)) (*.f64 x (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) (/.f64 (*.f64 x y) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) |
(if (<=.f64 z #s(literal 69999999999999999899336704 binary64)) (*.f64 (/.f64 (*.f64 z y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) 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))) y) x)) |
(if (<=.f64 z #s(literal 69999999999999999899336704 binary64)) (*.f64 x (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) (*.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)) |
(if (<=.f64 z #s(literal 67999999999999996711665664 binary64)) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) (*.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)) |
(if (<=.f64 z #s(literal 67999999999999996711665664 binary64)) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y z)) (*.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)) |
(if (<=.f64 z #s(literal 265000000000000012920841878507961803295569022469924051862878455270634548228037883582988623886500839041269760 binary64)) (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) 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))) y) x)) |
(if (<=.f64 z #s(literal 540000000000000005198269871208529920 binary64)) (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z) (*.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)) |
(if (<=.f64 z #s(literal 540000000000000005198269871208529920 binary64)) (*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) (*.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)) |
(if (<=.f64 z #s(literal 265000000000000012920841878507961803295569022469924051862878455270634548228037883582988623886500839041269760 binary64)) (*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) (*.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)) |
(if (<=.f64 z #s(literal 265000000000000012920841878507961803295569022469924051862878455270634548228037883582988623886500839041269760 binary64)) (*.f64 (*.f64 x z) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) (*.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)) |
(if (<=.f64 z #s(literal 6092105698723627/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))) (*.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)) |
(if (<=.f64 z #s(literal 6092105698723627/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (*.f64 (/.f64 (*.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) z) (*.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)) |
(if (<=.f64 z #s(literal 5711349092553401/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776 binary64)) (*.f64 z (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a))))) (/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)))) |
(if (<=.f64 z #s(literal 5711349092553401/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776 binary64)) (*.f64 (/.f64 (*.f64 x y) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) z) (/.f64 (*.f64 x y) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)))) |
(if (<=.f64 z #s(literal 4990805449417467/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (/.f64 (*.f64 y (/.f64 (*.f64 x x) x)) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) (/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)))) |
(if (<=.f64 z #s(literal 4990805449417467/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 x x) x) y) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) (/.f64 (*.f64 x y) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)))) |
(if (<=.f64 z #s(literal 4520429290393133/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)))) |
(if (<=.f64 z #s(literal 4520429290393133/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (/.f64 (*.f64 x y) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y x) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
(/.f64 (*.f64 x y) #s(approx (/ (sqrt (- (* z z) (* t a))) z) #s(literal 1 binary64))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 188 |
| 0 | 58 | 188 |
| 1 | 191 | 188 |
| 2 | 992 | 188 |
| 0 | 8388 | 188 |
| 0 | 495 | 2495 |
| 1 | 1609 | 2432 |
| 2 | 6504 | 2414 |
| 0 | 8295 | 2311 |
| 0 | 985 | 7364 |
| 1 | 3284 | 7127 |
| 0 | 8166 | 6837 |
| 0 | 49 | 300 |
| 0 | 75 | 297 |
| 1 | 233 | 297 |
| 2 | 1193 | 297 |
| 0 | 8833 | 297 |
| 0 | 12 | 37 |
| 0 | 19 | 37 |
| 1 | 56 | 37 |
| 2 | 320 | 37 |
| 3 | 2703 | 37 |
| 0 | 8429 | 37 |
| 0 | 53 | 316 |
| 0 | 81 | 295 |
| 1 | 287 | 274 |
| 2 | 1871 | 265 |
| 0 | 8543 | 265 |
| 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 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 718 to 847 computations (50.7% saved)
(sort t a)
Compiled 2 530 to 1 218 computations (51.9% saved)
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