
Time bar (total: 10.4s)
| 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)
| 1.0s | 8 256× | 0 | valid |
| 347.0ms | 1 985× | 0 | invalid |
ival-mult: 473.0ms (61.8% of total)ival-sqrt: 159.0ms (20.8% of total)ival-div: 74.0ms (9.7% of total)ival-sub: 47.0ms (6.1% of total)ival-true: 8.0ms (1% of total)ival-assert: 4.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 100 | 0 | - | 1 | (-8.488114318988224e+68 7.758586799120676e+172 8.747661583917192e-162 5.163617460795184e-157 -3.6909895933842615e-252) | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
| 31 | 0 | - | 1 | (-1.462277468327355e+50 9.086959261070782e-215 -9.609008628774744e-157 1.5161342253224958e-192 -2.3110527351881263e+54) | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 24 | 0 | - | 0 | - | (*.f64 (*.f64 x y) z) |
| 5 | 0 | - | 0 | - | (-.f64 (*.f64 z z) (*.f64 t a)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 t a) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) | oflow-rescue | 96 | 0 |
| ↳ | (-.f64 (*.f64 z z) (*.f64 t a)) | overflow | 96 | |
| ↳ | (*.f64 t a) | overflow | 23 | |
| ↳ | (*.f64 z z) | overflow | 83 | |
/.f64 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | o/n | 26 | 0 |
| ↳ | (*.f64 x y) | overflow | 26 | |
| ↳ | (*.f64 (*.f64 x y) z) | overflow | 48 | |
*.f64 | (*.f64 (*.f64 x y) z) | n*u | 20 | 0 |
-.f64 | (-.f64 (*.f64 z z) (*.f64 t a)) | nan-rescue | 5 | 0 |
| ↳ | (*.f64 z z) | overflow | 83 | |
| ↳ | (*.f64 t a) | overflow | 23 | |
/.f64 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | u/n | 4 | 0 |
| ↳ | (*.f64 x y) | underflow | 32 | |
| ↳ | (*.f64 (*.f64 x y) z) | underflow | 25 | |
*.f64 | (*.f64 (*.f64 x y) z) | n*o | 4 | 0 |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) | uflow-rescue | 3 | 0 |
| ↳ | (-.f64 (*.f64 z z) (*.f64 t a)) | underflow | 3 | |
| ↳ | (*.f64 t a) | underflow | 32 | |
| ↳ | (*.f64 z z) | underflow | 34 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 96 | 2 |
| - | 24 | 134 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 96 | 0 | 2 |
| - | 24 | 0 | 134 |
| number | freq |
|---|---|
| 0 | 136 |
| 1 | 84 |
| 2 | 34 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 42.0ms | 512× | 0 | valid |
Compiled 210 to 64 computations (69.5% saved)
ival-mult: 13.0ms (57.9% of total)ival-sqrt: 4.0ms (17.8% of total)ival-div: 3.0ms (13.4% of total)ival-sub: 2.0ms (8.9% 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 |
|---|---|---|
| ▶ | 63.5% | (/.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 | 1.0039062500000002 | (-.f64 (*.f64 z z) (*.f64 t a)) | |
| accuracy | 5.630767812649641 | (*.f64 (*.f64 x y) z) | |
| accuracy | 7.086095537397355 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| accuracy | 23.25014712579825 | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
| 21.0ms | 256× | 0 | valid |
Compiled 98 to 26 computations (73.5% saved)
ival-mult: 6.0ms (55.4% of total)ival-sqrt: 2.0ms (18.5% of total)ival-sub: 1.0ms (9.2% of total)ival-div: 1.0ms (9.2% 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 | |
|---|---|---|---|---|
| 177.0ms | a | @ | -inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a))) |
| 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))) |
| 5.0ms | z | @ | 0 | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a))) |
| 3.0ms | t | @ | inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a))) |
| 3.0ms | x | @ | 0 | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 495 | 2495 |
| 1 | 1609 | 2432 |
| 2 | 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)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 a a) #s(literal -3/4 binary64))) (/.f64 y (pow.f64 z #s(literal 4 binary64))) (*.f64 (fma.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 a t) #s(literal 3 binary64)) #s(literal -3/4 binary64)) #s(literal -1/2 binary64))) (/.f64 y (pow.f64 z #s(literal 6 binary64)))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 y x) t) a) z) (*.f64 y x))) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (/.f64 (/.f64 t z) z) a) z) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
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(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
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(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
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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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(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))) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
(*.f64 (*.f64 z x) (*.f64 y (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) |
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 (neg.f64 z) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 z) y) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 z y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 (neg.f64 x) z) y)) |
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(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)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 425 | 16 | 441 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 426 | 16 | 442 |
| Status | Accuracy | Program |
|---|---|---|
| 63.2% | (/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| 60.2% | (/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| 64.2% | (/.f64 (*.f64 (*.f64 x y) z) (pow.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) | |
| 34.2% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) | |
| 44.9% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| 61.5% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (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))) | |
| ▶ | 68.2% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
| 18.0% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| ▶ | 64.9% | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
| ▶ | 61.3% | (*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 z x)) y) |
| 67.5% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) | |
| 62.7% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) | |
| 62.4% | (*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) | |
| ▶ | 60.8% | (*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
| 63.2% | #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))) | |
| ▶ | 15.0% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
Compiled 582 to 462 computations (20.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (neg.f64 a) t (*.f64 z z)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 z x)) | |
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 z x)) y) | |
| 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 | (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 | 259 |
| 0 | 59 | 259 |
| 1 | 112 | 259 |
| 2 | 192 | 259 |
| 3 | 289 | 259 |
| 4 | 336 | 259 |
| 5 | 378 | 259 |
| 6 | 516 | 259 |
| 7 | 651 | 259 |
| 8 | 1089 | 259 |
| 9 | 2399 | 259 |
| 10 | 3859 | 259 |
| 11 | 4412 | 259 |
| 12 | 4781 | 259 |
| 13 | 5287 | 259 |
| 14 | 5843 | 259 |
| 15 | 6868 | 259 |
| 16 | 7452 | 259 |
| 17 | 7460 | 259 |
| 18 | 7460 | 259 |
| 19 | 7460 | 259 |
| 20 | 7460 | 259 |
| 21 | 7514 | 259 |
| 22 | 7582 | 259 |
| 23 | 7667 | 259 |
| 24 | 7667 | 259 |
| 25 | 7771 | 259 |
| 0 | 8051 | 259 |
| 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 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 |
(*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 z x)) y) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 z x)) |
(pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(neg.f64 a) |
a |
t |
(*.f64 z z) |
z |
#s(literal -1/2 binary64) |
(*.f64 z x) |
x |
y |
| 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 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 |
(*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 z x)) y) |
(*.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) z) y) x) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 z x)) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) x) z) |
(pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(neg.f64 a) |
a |
t |
(*.f64 z z) |
z |
#s(literal -1/2 binary64) |
(*.f64 z x) |
x |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (fma.f64 (neg.f64 a) t (*.f64 z z)) | |
| accuracy | 4.695882664752413 | (*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 z x)) y) | |
| accuracy | 5.592570023361682 | (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 z x)) | |
| accuracy | 23.31124395610381 | (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 (neg.f64 a) t (*.f64 z z)) | |
| accuracy | 2.481066062501215 | (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| accuracy | 8.592138663131104 | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) | |
| accuracy | 23.25014712579825 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| accuracy | 0.00390625 | (fma.f64 (neg.f64 a) t (*.f64 z z)) | |
| accuracy | 0.08203125 | (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| accuracy | 7.729842353472765 | (*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) | |
| accuracy | 23.25014712579825 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| accuracy | 0 | (*.f64 (neg.f64 y) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 54.37015377091807 | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) | |
| accuracy | 2.6274813871273497 | (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) | |
| accuracy | 5.630767812649641 | (*.f64 (*.f64 x y) z) | |
| accuracy | 7.086095537397355 | (/.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 | 19.503910314770973 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
| 118.0ms | 256× | 0 | valid |
Compiled 510 to 70 computations (86.3% saved)
ival-mult: 70.0ms (72.3% of total)ival-div: 9.0ms (9.3% of total)ival-pow: 6.0ms (6.2% of total)ival-neg: 5.0ms (5.2% of total)ival-sqrt: 3.0ms (3.1% of total)ival-add: 2.0ms (2.1% of total)ival-sub: 1.0ms (1% 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 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) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 z x)) y) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 z x)) |
(pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
| 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))))) |
(* (* x z) (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))))))))) |
(* (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))) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* (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))))))) |
(+ (* (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 (* a t)) |
(+ (* -1 (* a t)) (pow z 2)) |
(* -1/2 (/ (* a t) z)) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(+ (* 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) |
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)))))) |
(/ 1 z) |
(/ (+ 1 (* 1/2 (/ (* a t) (pow z 2)))) z) |
(/ (+ 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))))) z) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) z) |
(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 x) |
(+ (* -1 x) (* -1/2 (/ (* a (* t x)) (pow z 2)))) |
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))))) |
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (+ (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) |
(/ -1 z) |
(* -1 (/ (+ 1 (* 1/2 (/ (* a t) (pow z 2)))) z)) |
(* -1 (/ (+ 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))))) z)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) z)) |
(* -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)) |
(+ 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) (pow z 3))) (/ 1 z)) |
(+ (* t (+ (* -1/2 (* t (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 3))))) (/ 1 z)) |
(+ (* t (+ (* 1/2 (/ a (pow z 3))) (* t (+ (* -1/2 (* t (* 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 (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))) (/ 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)))))))) |
(* 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))))))) |
(+ (* -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)))) (/ (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (+ (* 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))) (sqrt -1))))) |
(* t (+ (* -1 a) (/ (pow z 2) t))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(+ (* -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)))))) |
(+ (* -1/2 (* (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)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* (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 4) (sqrt -1))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(* -1 (* t (+ a (* -1 (/ (pow z 2) t))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(+ (* 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)) |
(+ 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 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)) |
(+ (* a (+ (* 1/2 (/ t (pow z 3))) (* a (+ (* -1/2 (* a (* 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 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))) (/ 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)))))))) |
(* 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))))))) |
(+ (* -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)))) (/ (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (+ (* 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))) (sqrt -1))))) |
(* a (+ (* -1 t) (/ (pow z 2) a))) |
(* a (+ (* -1/2 (/ t z)) (/ z 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))))))) |
(* -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 (/ (+ (* 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))) (* (pow z 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* (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 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(* -1 (* a (+ t (* -1 (/ (pow z 2) a))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | t | @ | 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) (* (* 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) (* (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) y) (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) (pow (+ (* (neg a) t) (* z z)) -1/2) (+ (* (neg a) t) (* z z)) (+ (* (* -1/2 t) (/ a z)) z)) |
| 6.0ms | 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) (* (* 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) (* (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) y) (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) (pow (+ (* (neg a) t) (* z z)) -1/2) (+ (* (neg a) t) (* z z)) (+ (* (* -1/2 t) (/ a z)) z)) |
| 5.0ms | a | @ | -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) (* (* 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) (* (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) y) (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) (pow (+ (* (neg a) t) (* z z)) -1/2) (+ (* (neg a) t) (* z z)) (+ (* (* -1/2 t) (/ a z)) z)) |
| 5.0ms | 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) (* (* 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) (* (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) y) (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) (pow (+ (* (neg a) t) (* z z)) -1/2) (+ (* (neg a) t) (* z z)) (+ (* (* -1/2 t) (/ a z)) z)) |
| 4.0ms | z | @ | 0 | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (neg y) x) (neg y) (* (* 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) (* (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) y) (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) (pow (+ (* (neg a) t) (* z z)) -1/2) (+ (* (neg a) t) (* z z)) (+ (* (* -1/2 t) (/ a z)) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1016 | 7516 |
| 1 | 3343 | 7240 |
| 0 | 8477 | 6948 |
| 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))))) |
(* (* x z) (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))))))))) |
(* (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))) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* (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))))))) |
(+ (* (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 (* a t)) |
(+ (* -1 (* a t)) (pow z 2)) |
(* -1/2 (/ (* a t) z)) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(+ (* 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) |
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)))))) |
(/ 1 z) |
(/ (+ 1 (* 1/2 (/ (* a t) (pow z 2)))) z) |
(/ (+ 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))))) z) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) z) |
(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 x) |
(+ (* -1 x) (* -1/2 (/ (* a (* t x)) (pow z 2)))) |
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))))) |
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (+ (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) |
(/ -1 z) |
(* -1 (/ (+ 1 (* 1/2 (/ (* a t) (pow z 2)))) z)) |
(* -1 (/ (+ 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))))) z)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) z)) |
(* -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)) |
(+ 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) (pow z 3))) (/ 1 z)) |
(+ (* t (+ (* -1/2 (* t (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 3))))) (/ 1 z)) |
(+ (* t (+ (* 1/2 (/ a (pow z 3))) (* t (+ (* -1/2 (* t (* 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 (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))) (/ 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)))))))) |
(* 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))))))) |
(+ (* -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)))) (/ (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (+ (* 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))) (sqrt -1))))) |
(* t (+ (* -1 a) (/ (pow z 2) t))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(+ (* -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)))))) |
(+ (* -1/2 (* (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)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* (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 4) (sqrt -1))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(* -1 (* t (+ a (* -1 (/ (pow z 2) t))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(+ (* 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)) |
(+ 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 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)) |
(+ (* a (+ (* 1/2 (/ t (pow z 3))) (* a (+ (* -1/2 (* a (* 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 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))) (/ 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)))))))) |
(* 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))))))) |
(+ (* -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)))) (/ (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (+ (* 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))) (sqrt -1))))) |
(* a (+ (* -1 t) (/ (pow z 2) a))) |
(* a (+ (* -1/2 (/ t z)) (/ z 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))))))) |
(* -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 (/ (+ (* 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))) (* (pow z 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* (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 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(* -1 (* a (+ t (* -1 (/ (pow z 2) a))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
| Outputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 (*.f64 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)) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (*.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(* -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 (*.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)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 a t))) (fma.f64 x (/.f64 (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (neg.f64 t) a)) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 t #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (+.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)))) y) x) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z z) (*.f64 (*.f64 (*.f64 x (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* (sqrt (* a t)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(fma.f64 (*.f64 (/.f64 (*.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (*.f64 z z) (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
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z |
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(*.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))) (* 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) y) (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) y) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 t a)) y) (*.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)) y) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 (pow.f64 a #s(literal 3 binary64)))))) |
(+ (* -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 y x) (*.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 y x) (*.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))) (* (pow z 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* (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 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z)) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.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))) (sqrt.f64 (/.f64 t a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64)))) (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 (pow.f64 a #s(literal 3 binary64)))))) |
(* -1 (* a (+ t (* -1 (/ (pow z 2) a))))) |
(*.f64 (-.f64 t (/.f64 (*.f64 z z) a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(*.f64 (fma.f64 (/.f64 t z) #s(literal 1/2 binary64) (/.f64 (neg.f64 z) a)) (neg.f64 a)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 189 |
| 0 | 59 | 188 |
| 1 | 193 | 187 |
| 2 | 981 | 187 |
| 0 | 8781 | 187 |
| 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 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) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 z x)) y) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 z x)) |
(pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
| 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 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)) (*.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)) 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 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 y x)) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 y x)) z) #s(literal -1/2 binary64))) |
(*.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 (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 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 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 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 (*.f64 z 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 (*.f64 z y) x)) |
(*.f64 #s(literal 1 binary64) (*.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 (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 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 (*.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 (*.f64 z 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 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 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 y x)) z) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 (*.f64 (neg.f64 y) x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 y x)) z)) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) z) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(/.f64 (*.f64 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 (*.f64 z y) x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 y x)) z))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 y) x) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 y x)) z)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) (*.f64 z y)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 z) y)) |
(*.f64 (*.f64 z y) x) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 z y) x)) |
(*.f64 (neg.f64 z) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 y x) z) |
(*.f64 (*.f64 z x) y) |
(*.f64 (*.f64 (neg.f64 y) x) (neg.f64 z)) |
(*.f64 (*.f64 (*.f64 z y) x) #s(literal 1 binary64)) |
(*.f64 z (*.f64 y x)) |
(*.f64 y (*.f64 z x)) |
(*.f64 x (*.f64 (*.f64 z y) #s(literal 1 binary64))) |
(*.f64 x (neg.f64 (*.f64 (neg.f64 z) y))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.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 (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 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))) (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #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 (*.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 (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))) (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #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 (/.f64 a z) t) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)))) (neg.f64 (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #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 z (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t) #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 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #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 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 6 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 a z) t) z) #s(literal 3 binary64))))) (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #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 (/.f64 a z) t) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z))) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z)) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 (*.f64 #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 (/.f64 a z) t) #s(literal 1/2 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (*.f64 #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 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))) (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (*.f64 (*.f64 #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 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 (*.f64 (*.f64 #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 (/.f64 a z) t) #s(literal 1/2 binary64)))))) |
(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 (/.f64 a z) t) #s(literal 1/2 binary64))))))) |
(neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64) z))) |
(neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)))))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) t) (pow.f64 z #s(literal -1 binary64))) a z) |
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)) |
(fma.f64 (/.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) t) 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) #s(literal -1 binary64)) (/.f64 (neg.f64 a) z) z) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 t (pow.f64 a #s(literal -1 binary64))) z) |
(fma.f64 (/.f64 t z) (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -1 binary64))) z) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) t) #s(literal -1 binary64)) (/.f64 (neg.f64 a) 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 #s(literal -1/2 binary64) (/.f64 a z)) t z) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a t)) (/.f64 #s(literal -1 binary64) z) z) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) t) a) (pow.f64 z #s(literal -1 binary64)) z) |
(fma.f64 (*.f64 (/.f64 a z) t) #s(literal -1/2 binary64) z) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64)) z) |
(fma.f64 #s(literal -1 binary64) (neg.f64 z) (*.f64 (*.f64 #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 (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)) |
Compiled 29 621 to 3 304 computations (88.8% saved)
25 alts after pruning (24 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 869 | 18 | 887 |
| Fresh | 5 | 6 | 11 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 878 | 25 | 903 |
| Status | Accuracy | Program |
|---|---|---|
| 64.0% | (/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| 60.2% | (/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| 34.2% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) | |
| 44.9% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| 18.0% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| 22.2% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) | |
| 78.0% | (/.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)) | |
| 63.7% | (/.f64 (neg.f64 z) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) y) (neg.f64 x))) | |
| 34.1% | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) z) | |
| 44.9% | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))) z) | |
| 67.5% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) | |
| 62.7% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) | |
| ▶ | 78.0% | (*.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) |
| ▶ | 78.0% | (*.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) |
| 59.2% | (*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) | |
| 77.9% | (*.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))))) | |
| 75.3% | (*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) | |
| 26.8% | (*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a))))) | |
| 71.2% | (*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) | |
| ▶ | 60.7% | (*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) y))) |
| ▶ | 61.8% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) z) |
| 66.8% | (*.f64 #s(approx (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t x) a) z) x)) y) | |
| 63.2% | (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 y x)) z)) #s(literal -1 binary64))) | |
| ▶ | 5.7% | #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)))) |
| ✓ | 15.0% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
Compiled 1 019 to 791 computations (22.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) y) | |
| cost-diff | 0 | #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) y)) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) y))) | |
| cost-diff | 0 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) | |
| cost-diff | 0 | (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) | |
| cost-diff | 0 | (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) | |
| cost-diff | 0 | (*.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) | |
| 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 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 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) | |
| cost-diff | 0 | (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) y) | |
| cost-diff | 0 | (*.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) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 427 |
| 0 | 76 | 414 |
| 1 | 149 | 414 |
| 2 | 327 | 398 |
| 3 | 786 | 398 |
| 4 | 2863 | 398 |
| 5 | 3842 | 398 |
| 6 | 7244 | 398 |
| 0 | 8395 | 398 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) y) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
z |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(/.f64 a z) |
a |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
y |
x |
(*.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 |
#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 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
z |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(/.f64 a z) |
a |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
x |
y |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) y))) |
(*.f64 z x) |
z |
x |
#s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z))) |
#s(literal 1 binary64) |
(fma.f64 (neg.f64 t) a (*.f64 z z)) |
(neg.f64 t) |
t |
a |
(*.f64 z z) |
y |
| 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 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 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) y) |
(/.f64 (*.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
z |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(/.f64 a z) |
a |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
y |
x |
(*.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 |
#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 x) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(*.f64 (neg.f64 x) y) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) |
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)) |
#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 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 (*.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 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) |
(/.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 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
z |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(/.f64 a z) |
a |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
x |
y |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) y))) |
(*.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) y)) (*.f64 x z)) |
(*.f64 z x) |
(*.f64 x z) |
z |
x |
#s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z))) |
#s(literal 1 binary64) |
(fma.f64 (neg.f64 t) a (*.f64 z z)) |
(neg.f64 t) |
t |
a |
(*.f64 z z) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2734375 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) y) | |
| accuracy | 0.4601098188200729 | (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z))) | |
| accuracy | 7.729842353472765 | (*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) y))) | |
| accuracy | 22.96870010761909 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) | |
| accuracy | 0.07856930533612964 | (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) | |
| accuracy | 2.6274813871273497 | (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) | |
| accuracy | 4.695882664752413 | (*.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) | |
| accuracy | 19.503910314770973 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.20150375976844204 | (*.f64 (*.f64 y x) (*.f64 y x)) | |
| accuracy | 32.98960829592537 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) | |
| accuracy | 54.37015377091807 | #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 | (/.f64 y z) | |
| accuracy | 3.910497306953953 | (*.f64 x (/.f64 y z)) | |
| accuracy | 8.592138663131104 | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) z) | |
| accuracy | 16.569218355497494 | #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (/.f64 y z))) | |
| accuracy | 0.078125 | (*.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) | |
| accuracy | 1.875122718627638 | (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) y) | |
| accuracy | 2.6274813871273497 | (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) | |
| accuracy | 19.503910314770973 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
| 131.0ms | 256× | 0 | valid |
Compiled 736 to 98 computations (86.7% saved)
ival-mult: 81.0ms (75.5% of total)ival-div: 11.0ms (10.3% of total)ival-sqrt: 5.0ms (4.7% of total)ival-add: 4.0ms (3.7% of total)ival-sub: 2.0ms (1.9% of total)ival-neg: 2.0ms (1.9% 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 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 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) y) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
(*.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 (-.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 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) y))) |
(*.f64 z x) |
#s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) y) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 (*.f64 y x) (*.f64 y x)) |
(*.f64 y x) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z))) |
| Outputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* 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)) |
(* x y) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x z) |
(* (pow x 2) (pow y 2)) |
(* (* y z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(/ y z) |
(* 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 (/ 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)))))))))) |
(* (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))) (* 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))) (* 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))))))))) |
(* -1/2 (/ (* a t) z)) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(* (sqrt (/ 1 (* a t))) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* (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))))))) |
(+ (* (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 (* a t)) |
(- (* -1 (/ (pow z 2) (* (pow a 2) (pow t 2)))) (/ 1 (* a t))) |
(- (* (pow z 2) (- (* -1 (/ (pow z 2) (* (pow a 3) (pow t 3)))) (/ 1 (* (pow a 2) (pow t 2))))) (/ 1 (* a t))) |
(- (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (pow z 2) (* (pow a 4) (pow t 4)))) (/ 1 (* (pow a 3) (pow t 3))))) (/ 1 (* (pow a 2) (pow t 2))))) (/ 1 (* 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)))) |
y |
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) |
(+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t y)) (pow z 2))))) |
(+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t y)) (pow z 2)))))) |
1 |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) |
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) |
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)))))) |
(/ (+ 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) |
(/ 1 z) |
(/ (+ 1 (* 1/2 (/ (* a t) (pow z 2)))) z) |
(/ (+ 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))))) z) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) z) |
(/ 1 (pow z 2)) |
(/ (+ 1 (/ (* a t) (pow z 2))) (pow z 2)) |
(/ (- (+ 1 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1 (/ (* a t) (pow z 2)))) (pow z 2)) |
(/ (- (+ 1 (/ (* (pow a 3) (pow t 3)) (pow z 6))) (+ (* -1 (/ (* a t) (pow z 2))) (* -1 (/ (* (pow a 2) (pow t 2)) (pow z 4))))) (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 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 |
(- (* -1/2 (/ (* a t) (pow z 2))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(* -1 (/ (* 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 (/ 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 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(/ -1 z) |
(* -1 (/ (+ 1 (* 1/2 (/ (* a t) (pow z 2)))) z)) |
(* -1 (/ (+ 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))))) z)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) z)) |
(+ (* 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)) |
(+ 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))))))))))) |
(+ 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)) |
(+ 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 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)) |
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(* t (+ (* -1/2 (/ a z)) (/ z t))) |
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(/ (- (* -1 (/ (pow z 2) (* (pow a 2) t))) (/ 1 a)) t) |
(/ (- (* -1 (/ (pow z 4) (* (pow a 3) (pow t 2)))) (+ (/ 1 a) (/ (pow z 2) (* (pow a 2) t)))) t) |
(/ (- (* -1 (/ (pow z 6) (* (pow a 4) (pow t 3)))) (+ (/ 1 a) (+ (/ (pow z 2) (* (pow a 2) t)) (/ (pow z 4) (* (pow a 3) (pow t 2)))))) t) |
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(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* (pow z 5) (sqrt -1))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
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(+ (* -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)))) (* y (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1)))) |
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(+ (* -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 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
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(* -1 (/ (+ (/ 1 a) (/ (pow z 2) (* (pow a 2) t))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow z 4) (* (pow a 3) t))) (/ (pow z 2) (pow a 2))) t)) (/ 1 a)) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* (pow a 4) t)) (* -1 (/ (pow z 4) (pow a 3)))) t)) (/ (pow z 2) (pow a 2))) t)) (/ 1 a)) t)) |
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(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
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(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(+ (* -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)))) (/ (* 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)))))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (+ (* 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))) (sqrt -1))))) |
(/ (- (* -1 (/ (pow z 2) (* a (pow t 2)))) (/ 1 t)) a) |
(/ (- (* -1 (/ (pow z 4) (* (pow a 2) (pow t 3)))) (+ (/ 1 t) (/ (pow z 2) (* a (pow t 2))))) a) |
(/ (- (* -1 (/ (pow z 6) (* (pow a 3) (pow t 4)))) (+ (/ 1 t) (+ (/ (pow z 2) (* a (pow t 2))) (/ (pow z 4) (* (pow a 2) (pow t 3)))))) 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))))))) |
(+ (* -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 (+ (* 1/2 (* (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))) (* 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))) (* 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 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* (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 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(* -1 (/ (+ (/ 1 t) (/ (pow z 2) (* a (pow t 2)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow z 4) (* a (pow t 3)))) (/ (pow z 2) (pow t 2))) a)) (/ 1 t)) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* a (pow t 4))) (* -1 (/ (pow z 4) (pow t 3)))) a)) (/ (pow z 2) (pow t 2))) a)) (/ 1 t)) a)) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | 0 | ((* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (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) (/ (- 0 (* (* y x) (* y x))) (+ 0 (* y x))) (+ 0 (* y x)) (- 0 (* (* y x) (* y x))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (* (/ z (sqrt (- (* z z) (* t a)))) x) (* (* z x) (/ y (sqrt (+ (* (neg a) t) (* z z))))) (* z x) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (* (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) y) (+ (* (/ a z) (* -1/2 t)) z) (* (* y x) (* y x)) (* y x) (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) (/ 1 (+ (* (neg t) a) (* z z)))) |
| 5.0ms | y | @ | -inf | ((* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (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) (/ (- 0 (* (* y x) (* y x))) (+ 0 (* y x))) (+ 0 (* y x)) (- 0 (* (* y x) (* y x))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (* (/ z (sqrt (- (* z z) (* t a)))) x) (* (* z x) (/ y (sqrt (+ (* (neg a) t) (* z z))))) (* z x) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (* (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) y) (+ (* (/ a z) (* -1/2 t)) z) (* (* y x) (* y x)) (* y x) (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) (/ 1 (+ (* (neg t) a) (* z z)))) |
| 4.0ms | z | @ | -inf | ((* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (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) (/ (- 0 (* (* y x) (* y x))) (+ 0 (* y x))) (+ 0 (* y x)) (- 0 (* (* y x) (* y x))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (* (/ z (sqrt (- (* z z) (* t a)))) x) (* (* z x) (/ y (sqrt (+ (* (neg a) t) (* z z))))) (* z x) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (* (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) y) (+ (* (/ a z) (* -1/2 t)) z) (* (* y x) (* y x)) (* y x) (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) (/ 1 (+ (* (neg t) a) (* z z)))) |
| 4.0ms | x | @ | -inf | ((* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (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) (/ (- 0 (* (* y x) (* y x))) (+ 0 (* y x))) (+ 0 (* y x)) (- 0 (* (* y x) (* y x))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (* (/ z (sqrt (- (* z z) (* t a)))) x) (* (* z x) (/ y (sqrt (+ (* (neg a) t) (* z z))))) (* z x) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (* (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) y) (+ (* (/ a z) (* -1/2 t)) z) (* (* y x) (* y x)) (* y x) (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) (/ 1 (+ (* (neg t) a) (* z z)))) |
| 4.0ms | y | @ | inf | ((* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (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) (/ (- 0 (* (* y x) (* y x))) (+ 0 (* y x))) (+ 0 (* y x)) (- 0 (* (* y x) (* y x))) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* (/ z (sqrt (- (* z z) (* t a)))) x) y) (* (/ z (sqrt (- (* z z) (* t a)))) x) (* (* z x) (/ y (sqrt (+ (* (neg a) t) (* z z))))) (* z x) (/ y (sqrt (+ (* (neg a) t) (* z z)))) (* (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) y) (+ (* (/ a z) (* -1/2 t)) z) (* (* y x) (* y x)) (* y x) (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) (/ 1 (+ (* (neg t) a) (* z z)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1314 | 10481 |
| 1 | 4290 | 10218 |
| 0 | 8438 | 9813 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(/ (* x y) z) |
(* -1 (* x y)) |
(* x y) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x z) |
(* (pow x 2) (pow y 2)) |
(* (* y z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(/ y z) |
(* 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 (/ 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)))))))))) |
(* (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))) (* 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))) (* 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))))))))) |
(* -1/2 (/ (* a t) z)) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(* (sqrt (/ 1 (* a t))) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* (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))))))) |
(+ (* (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 (* a t)) |
(- (* -1 (/ (pow z 2) (* (pow a 2) (pow t 2)))) (/ 1 (* a t))) |
(- (* (pow z 2) (- (* -1 (/ (pow z 2) (* (pow a 3) (pow t 3)))) (/ 1 (* (pow a 2) (pow t 2))))) (/ 1 (* a t))) |
(- (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (pow z 2) (* (pow a 4) (pow t 4)))) (/ 1 (* (pow a 3) (pow t 3))))) (/ 1 (* (pow a 2) (pow t 2))))) (/ 1 (* 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)))) |
y |
(+ y (* 1/2 (/ (* a (* t y)) (pow z 2)))) |
(+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t y)) (pow z 2))))) |
(+ y (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t y)) (pow z 2)))))) |
1 |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) |
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) |
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)))))) |
(/ (+ 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) |
(/ 1 z) |
(/ (+ 1 (* 1/2 (/ (* a t) (pow z 2)))) z) |
(/ (+ 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))))) z) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) z) |
(/ 1 (pow z 2)) |
(/ (+ 1 (/ (* a t) (pow z 2))) (pow z 2)) |
(/ (- (+ 1 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1 (/ (* a t) (pow z 2)))) (pow z 2)) |
(/ (- (+ 1 (/ (* (pow a 3) (pow t 3)) (pow z 6))) (+ (* -1 (/ (* a t) (pow z 2))) (* -1 (/ (* (pow a 2) (pow t 2)) (pow z 4))))) (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 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 |
(- (* -1/2 (/ (* a t) (pow z 2))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(* -1 (/ (* 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 (/ 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 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(/ -1 z) |
(* -1 (/ (+ 1 (* 1/2 (/ (* a t) (pow z 2)))) z)) |
(* -1 (/ (+ 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))))) z)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) z)) |
(+ (* 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)) |
(+ 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))))))))))) |
(+ 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)) |
(+ 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 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) (pow z 3))) (/ 1 z)) |
(+ (* t (+ (* -1/2 (* t (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 3))))) (/ 1 z)) |
(+ (* t (+ (* 1/2 (/ a (pow z 3))) (* t (+ (* -1/2 (* t (* 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 (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))) (/ 1 z)) |
(+ (/ 1 (pow z 2)) (/ (* a t) (pow z 4))) |
(+ (* t (- (/ (* (pow a 2) t) (pow z 6)) (* -1 (/ a (pow z 4))))) (/ 1 (pow z 2))) |
(+ (* t (- (* t (- (/ (* (pow a 3) t) (pow z 8)) (* -1 (/ (pow a 2) (pow z 6))))) (* -1 (/ a (pow z 4))))) (/ 1 (pow z 2))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* 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 (* (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)))) (/ (* 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)))) (/ (* 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)))))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (+ (* 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))) (sqrt -1))))) |
(/ (- (* -1 (/ (pow z 2) (* (pow a 2) t))) (/ 1 a)) t) |
(/ (- (* -1 (/ (pow z 4) (* (pow a 3) (pow t 2)))) (+ (/ 1 a) (/ (pow z 2) (* (pow a 2) t)))) t) |
(/ (- (* -1 (/ (pow z 6) (* (pow a 4) (pow t 3)))) (+ (/ 1 a) (+ (/ (pow z 2) (* (pow a 2) t)) (/ (pow z 4) (* (pow a 3) (pow t 2)))))) t) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* 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 (* (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)))) (* 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)))) (* 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 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* (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 4) (sqrt -1))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(* -1 (/ (+ (/ 1 a) (/ (pow z 2) (* (pow a 2) t))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow z 4) (* (pow a 3) t))) (/ (pow z 2) (pow a 2))) t)) (/ 1 a)) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* (pow a 4) t)) (* -1 (/ (pow z 4) (pow a 3)))) t)) (/ (pow z 2) (pow a 2))) t)) (/ 1 a)) t)) |
(+ (* 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)) |
(+ 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))))))))))) |
(+ 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)) |
(+ 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 (* 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 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)) |
(+ (* a (+ (* 1/2 (/ t (pow z 3))) (* a (+ (* -1/2 (* a (* 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 (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))) (/ 1 z)) |
(+ (* a (- (/ (* a (pow t 2)) (pow z 6)) (* -1 (/ t (pow z 4))))) (/ 1 (pow z 2))) |
(+ (* a (- (* a (- (/ (* a (pow t 3)) (pow z 8)) (* -1 (/ (pow t 2) (pow z 6))))) (* -1 (/ t (pow z 4))))) (/ 1 (pow z 2))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* 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 (* (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)))) (/ (* 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)))) (/ (* 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)))))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (+ (* 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))) (sqrt -1))))) |
(/ (- (* -1 (/ (pow z 2) (* a (pow t 2)))) (/ 1 t)) a) |
(/ (- (* -1 (/ (pow z 4) (* (pow a 2) (pow t 3)))) (+ (/ 1 t) (/ (pow z 2) (* a (pow t 2))))) a) |
(/ (- (* -1 (/ (pow z 6) (* (pow a 3) (pow t 4)))) (+ (/ 1 t) (+ (/ (pow z 2) (* a (pow t 2))) (/ (pow z 4) (* (pow a 2) (pow t 3)))))) 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))))))) |
(+ (* -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 (+ (* 1/2 (* (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))) (* 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))) (* 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 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* (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 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(* -1 (/ (+ (/ 1 t) (/ (pow z 2) (* a (pow t 2)))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow z 4) (* a (pow t 3)))) (/ (pow z 2) (pow t 2))) a)) (/ 1 t)) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* a (pow t 4))) (* -1 (/ (pow z 4) (pow t 3)))) a)) (/ (pow z 2) (pow t 2))) a)) (/ 1 t)) a)) |
| Outputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x y) (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) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x y) |
(*.f64 x y) |
(* -1 (* (pow x 2) (pow y 2))) |
(*.f64 (neg.f64 (*.f64 y y)) (*.f64 x x)) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(* x z) |
(*.f64 x z) |
(* (pow x 2) (pow y 2)) |
(*.f64 (*.f64 y y) (*.f64 x 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 y z)) |
(/ y z) |
(/.f64 y z) |
(* 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 (*.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)))))))) |
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1 |
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(/.f64 (fma.f64 (/.f64 z (*.f64 t t)) (/.f64 z a) (/.f64 #s(literal 1 binary64) t)) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow z 4) (* a (pow t 3)))) (/ (pow z 2) (pow t 2))) a)) (/ 1 t)) a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (-.f64 (/.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) a)) (pow.f64 t #s(literal 3 binary64))) (*.f64 (/.f64 z t) (/.f64 z t))) a)) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) (* a (pow t 4))) (* -1 (/ (pow z 4) (pow t 3)))) a)) (/ (pow z 2) (pow t 2))) a)) (/ 1 t)) a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) a) (pow.f64 t #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 a)) (*.f64 (/.f64 z t) (/.f64 z t))) a)) (neg.f64 a)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 335 |
| 0 | 76 | 308 |
| 1 | 283 | 295 |
| 2 | 1751 | 295 |
| 0 | 8655 | 295 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) y) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
(*.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 (-.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 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) y))) |
(*.f64 z x) |
#s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) y) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 (*.f64 y x) (*.f64 y x)) |
(*.f64 y x) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z))) |
| Outputs |
|---|
(*.f64 (*.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 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (*.f64 x y) #s(literal -2 binary64))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x y))) |
(*.f64 (*.f64 (neg.f64 z) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (neg.f64 z) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (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 y) x)))) |
(*.f64 (*.f64 z (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (*.f64 z (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (*.f64 (neg.f64 y) x)))) |
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (neg.f64 x) (*.f64 y z)) (/.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 (*.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) (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 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) (*.f64 (neg.f64 y) x)))) |
(*.f64 (*.f64 x y) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 x (/.f64 (*.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(*.f64 (/.f64 (*.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) x) |
(*.f64 y (/.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 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (*.f64 x y)) |
(*.f64 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 x y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.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 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))))) (-.f64 #s(literal 0 binary64) (/.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 (/.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 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal 0 binary64)) (-.f64 (/.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))) #s(literal 0 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.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))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.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 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) (*.f64 #s(literal 0 binary64) (/.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 (pow.f64 (/.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))) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (/.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 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (-.f64 #s(literal 0 binary64) (*.f64 (/.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))) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (*.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 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (*.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (*.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (neg.f64 (*.f64 (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 y) x)))) |
(/.f64 (neg.f64 (*.f64 z (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 z (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (*.f64 (neg.f64 y) x)))) |
(/.f64 (*.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 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 (neg.f64 z) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (*.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 z) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 (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 y) x))) |
(/.f64 (*.f64 z (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (*.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 z (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (*.f64 (neg.f64 y) x))) |
(/.f64 (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64)) (neg.f64 (*.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 (/.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 x y) #s(literal 3 binary64)) (*.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 y z)) (neg.f64 #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 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.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 (*.f64 x y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) x) (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (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 y) x)) (*.f64 (neg.f64 z) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) (*.f64 (neg.f64 y) x)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 z (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (*.f64 (neg.f64 y) x)) (*.f64 z (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (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) (*.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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 (*.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 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) (*.f64 (neg.f64 y) x))) |
(/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (neg.f64 (*.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) (*.f64 (neg.f64 y) x)))) |
(/.f64 (*.f64 x y) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) |
(/.f64 x (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (*.f64 y z))) |
(/.f64 y (/.f64 #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 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) |
(fma.f64 (*.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 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x y)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 z) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (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 y) x))) #s(literal 0 binary64)) |
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(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 a t (*.f64 z z)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 (neg.f64 z) z)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 z z) (fma.f64 a t (*.f64 z z)) (pow.f64 (*.f64 a t) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 a t) (*.f64 z z))))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 a t) (*.f64 z z))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 (*.f64 a t) (*.f64 z z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(sqrt.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1 binary64))) |
(fabs.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 a t (*.f64 z z)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 a t (*.f64 z z))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 (neg.f64 z) z)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (neg.f64 t) a (*.f64 (neg.f64 z) z))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 z z) (fma.f64 a t (*.f64 z z)) (pow.f64 (*.f64 a t) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 z z) (fma.f64 a t (*.f64 z z)) (pow.f64 (*.f64 a t) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 a t (*.f64 z z)) (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (neg.f64 t) a (*.f64 (neg.f64 z) z)) (pow.f64 (-.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 z z) (fma.f64 a t (*.f64 z z)) (pow.f64 (*.f64 a t) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) (fma.f64 (neg.f64 t) a (*.f64 z z))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 a t (*.f64 z z))) (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 t) a (*.f64 (neg.f64 z) z))) (neg.f64 (-.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 a t (*.f64 z z)) (pow.f64 (*.f64 a t) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))))) |
(/.f64 (fma.f64 a t (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 a t) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (neg.f64 t) a (*.f64 (neg.f64 z) z)) (-.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (fma.f64 (*.f64 a t) (fma.f64 a t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (*.f64 z z) (fma.f64 a t (*.f64 z z)) (pow.f64 (*.f64 a t) #s(literal 2 binary64))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64)))) |
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 a t) (*.f64 z z))) |
(/.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 t) a) z) z) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 a t) #s(literal 3 binary64))))) |
(-.f64 (/.f64 (*.f64 (neg.f64 t) a) (-.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 a t) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 (fma.f64 (neg.f64 t) a (*.f64 z z)))) #s(literal 1/2 binary64)))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
Compiled 46 891 to 4 999 computations (89.3% saved)
27 alts after pruning (26 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 166 | 15 | 1 181 |
| Fresh | 8 | 11 | 19 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 179 | 27 | 1 206 |
| Status | Accuracy | Program |
|---|---|---|
| 60.2% | (/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| 34.2% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) | |
| 44.9% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| 18.0% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| 22.2% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) | |
| 63.7% | (/.f64 (neg.f64 z) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) y) (neg.f64 x))) | |
| 63.3% | (/.f64 x (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (*.f64 y z))) | |
| 63.5% | (*.f64 (/.f64 (*.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) x) | |
| ▶ | 34.1% | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) z) |
| ▶ | 62.7% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
| 46.3% | (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (/.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) (neg.f64 z))))) y) x) | |
| 77.9% | (*.f64 (*.f64 (*.f64 (neg.f64 z) (/.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)))) y) x) | |
| ▶ | 78.0% | (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) y) x) |
| ▶ | 75.3% | (*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) |
| ▶ | 73.9% | (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
| 65.6% | (*.f64 (*.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) z) x) | |
| 26.8% | (*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a))))) | |
| 71.2% | (*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) | |
| 27.6% | (*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg t) a) (* z z))) (/.f64 #s(literal -1 binary64) (*.f64 a t)))) y))) | |
| 71.1% | (*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) (/.f64 #s(literal 1 binary64) z)) y))) | |
| 36.4% | (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) (*.f64 (neg.f64 y) x)))) | |
| 63.2% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 x y) z)) z) | |
| 62.1% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x (/.f64 z y))) z) | |
| 55.4% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 y (/.f64 x z))) z) | |
| 61.7% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) | |
| 19.2% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x x) y) x)))) | |
| ✓ | 15.0% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
Compiled 1 223 to 937 computations (23.4% 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 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)))) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) z) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) | |
| cost-diff | 0 | #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) | |
| cost-diff | 0 | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) y) x) | |
| cost-diff | 192 | (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64)) | |
| cost-diff | 12928 | (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 414 |
| 0 | 80 | 408 |
| 1 | 132 | 407 |
| 2 | 211 | 407 |
| 3 | 325 | 403 |
| 4 | 407 | 401 |
| 5 | 635 | 401 |
| 6 | 853 | 401 |
| 7 | 927 | 401 |
| 8 | 1291 | 401 |
| 9 | 2856 | 401 |
| 10 | 4440 | 401 |
| 11 | 4867 | 401 |
| 12 | 5248 | 401 |
| 13 | 5651 | 401 |
| 14 | 5973 | 401 |
| 15 | 6019 | 401 |
| 16 | 6240 | 401 |
| 17 | 6266 | 401 |
| 18 | 6430 | 401 |
| 19 | 6763 | 401 |
| 20 | 7257 | 401 |
| 21 | 7272 | 401 |
| 22 | 7285 | 401 |
| 23 | 7295 | 401 |
| 24 | 7295 | 401 |
| 0 | 8383 | 401 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) y) x) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) y) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64)) |
(log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) |
(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(/.f64 a z) |
a |
z |
#s(literal -1 binary64) |
y |
x |
(*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
(*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) |
#s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
x |
(*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) |
(*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) |
#s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 z x) |
x |
y |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) z) |
(/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) |
(*.f64 y x) |
y |
x |
(sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a))) |
#s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)) |
(*.f64 (neg.f64 t) a) |
(neg.f64 t) |
t |
a |
z |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(/.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) |
x |
y |
| Outputs |
|---|
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) y) x) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) y) |
(/.f64 (*.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64)) |
(neg.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) |
(log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) |
(log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) |
(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) |
(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(/.f64 a z) |
a |
z |
#s(literal -1 binary64) |
y |
x |
(*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
(*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) |
#s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
x |
(*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) |
(*.f64 (*.f64 (*.f64 x y) z) #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) |
(*.f64 (*.f64 x z) #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 z x) |
(*.f64 x z) |
x |
y |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) |
(/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) |
(/.f64 (*.f64 x y) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a))) |
#s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)) |
(*.f64 (neg.f64 t) a) |
(neg.f64 t) |
t |
a |
z |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
(/.f64 (*.f64 (*.f64 x y) z) (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)))) x) |
(/.f64 (*.f64 x z) (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) |
x |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.07421875 | (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| accuracy | 0.07856930533612964 | (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) | |
| accuracy | 4.695882664752413 | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) | |
| accuracy | 23.25014712579825 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| accuracy | 2.481066062501215 | (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) | |
| accuracy | 8.592138663131104 | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) z) | |
| accuracy | 23.25014712579825 | (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a))) | |
| accuracy | 41.71244175112479 | #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 4.695882664752413 | (*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) | |
| accuracy | 5.592570023361682 | (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) | |
| accuracy | 19.813557781385896 | #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.078125 | (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) | |
| accuracy | 1.875122718627638 | (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) | |
| accuracy | 19.799489705732494 | #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) | |
| accuracy | 1.875122718627638 | (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) y) | |
| accuracy | 2.6274813871273497 | (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) | |
| accuracy | 19.503910314770973 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) | |
| accuracy | 21.503379204834975 | (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) |
| 197.0ms | 117× | 2 | valid |
| 39.0ms | 54× | 1 | valid |
| 26.0ms | 85× | 0 | valid |
Compiled 749 to 94 computations (87.4% saved)
ival-mult: 72.0ms (32.6% of total)ival-log: 55.0ms (24.9% of total)adjust: 42.0ms (19% of total)ival-div: 21.0ms (9.5% of total)ival-pow: 10.0ms (4.5% of total)ival-sqrt: 7.0ms (3.2% of total)ival-exp: 5.0ms (2.3% of total)ival-sub: 3.0ms (1.4% of total)ival-add: 3.0ms (1.4% of total)ival-neg: 2.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) y) x) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) y) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
(*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) |
#s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) |
(*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) |
#s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) z) |
(/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) |
(*.f64 y x) |
(sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(/.f64 z (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 #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 z x) |
#s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)) |
| Outputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x y) |
(* x z) |
(* (* y z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1)))))))))) |
(* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) |
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* (pow z 2) (- (* 1/4 (/ (pow z 2) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))) |
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* (pow z 2) (- (* (pow z 2) (+ (* -1/6 (/ (pow z 2) (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 6))))) (* 1/4 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* (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))) (* 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))) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* (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))))))) |
(+ (* (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 z) |
(* (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 (* 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 (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z))) |
(+ (log (* (sqrt (* a t)) (sqrt -1))) (+ (* -1 (log z)) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))))) |
(+ (log (* (sqrt (* a t)) (sqrt -1))) (+ (* -1 (log z)) (* (pow z 2) (+ (* -1/4 (/ (pow z 2) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2))))))))) |
(+ (log (* (sqrt (* a t)) (sqrt -1))) (+ (* -1 (log z)) (* (pow z 2) (+ (* (pow z 2) (- (* 1/6 (/ (pow z 2) (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 6))))) (* 1/4 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2))))))))) |
(* -1/2 (/ (* a t) z)) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(* -1 (* a t)) |
(+ (* -1 (* a t)) (pow z 2)) |
1 |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) |
(* 1/2 (/ (* a t) (pow z 2))) |
(/ (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t))) (pow z 2)) |
(/ (+ (* -1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 4))) (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t)))) (pow z 2)) |
(/ (+ (* -1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 4))) (+ (* -1/40320 (/ (+ (* -20160 (+ (* 1/64 (* (pow a 4) (pow t 4))) (* 1/16 (* (pow a 4) (pow t 4))))) (+ (* -2520 (* (pow a 4) (pow t 4))) (+ (* -630 (* (pow a 4) (pow t 4))) (* -315 (* (pow a 4) (pow t 4)))))) (pow z 6))) (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t))))) (pow z 2)) |
(+ (* 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)))) |
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)))))) |
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)))))) |
(/ (+ 1 (* 1/2 (/ (* a t) (pow z 2)))) z) |
(/ (+ 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))))) z) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) z) |
(/ (* 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) |
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))) |
(/ (+ (* -1/2 (* a t)) (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2)))) (pow z 2)) |
(/ (+ (* -1/2 (* a t)) (+ (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 4))))) (pow z 2)) |
(/ (+ (* -1/2 (* a t)) (+ (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (+ (* 1/40320 (/ (+ (* -20160 (+ (* 1/64 (* (pow a 4) (pow t 4))) (* 1/16 (* (pow a 4) (pow t 4))))) (+ (* -2520 (* (pow a 4) (pow t 4))) (+ (* -630 (* (pow a 4) (pow t 4))) (* -315 (* (pow a 4) (pow t 4)))))) (pow z 6))) (* 1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 4)))))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
-1 |
(- (* -1/2 (/ (* a t) (pow z 2))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1) |
(* -1 (log -1)) |
(+ (* -1 (log -1)) (* 1/2 (/ (* a t) (pow z 2)))) |
(+ (* -1 (log -1)) (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) |
(+ (* -1 (log -1)) (+ (* -1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 6))) (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* x y)) |
(+ (* -1 (* 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 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 x) |
(+ (* -1 x) (* -1/2 (/ (* a (* t x)) (pow z 2)))) |
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))))) |
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (+ (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) |
(/ -1 z) |
(* -1 (/ (+ 1 (* 1/2 (/ (* a t) (pow z 2)))) z)) |
(* -1 (/ (+ 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))))) z)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) z)) |
(* -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 (* 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) (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4))))) |
(+ (log -1) (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 6)))))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(+ 1 (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 2)))))) |
(+ 1 (* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) |
(* t (+ (* 1/4 (/ (* (pow a 2) t) (pow z 4))) (* 1/2 (/ a (pow z 2))))) |
(* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/6 (* t (+ (* -3/4 (/ (pow a 3) (pow z 6))) (* -1/4 (/ (pow a 3) (pow z 6)))))) (* 1/4 (/ (pow a 2) (pow z 4))))))) |
(* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* 1/4 (/ (pow a 2) (pow z 4))) (* t (+ (* -1/6 (+ (* -3/4 (/ (pow a 3) (pow z 6))) (* -1/4 (/ (pow a 3) (pow z 6))))) (* -1/24 (* t (+ (* -12 (/ (+ (* 1/64 (/ (pow a 4) (pow z 6))) (* 1/16 (/ (pow a 4) (pow z 6)))) (pow z 2))) (+ (* -3/2 (/ (pow a 4) (pow z 8))) (+ (* -3/8 (/ (pow a 4) (pow z 8))) (* -3/16 (/ (pow a 4) (pow z 8)))))))))))))) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
(+ 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)))))))))))) |
(+ 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) (pow z 3))) (/ 1 z)) |
(+ (* t (+ (* -1/2 (* t (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 3))))) (/ 1 z)) |
(+ (* t (+ (* 1/2 (/ a (pow z 3))) (* t (+ (* -1/2 (* t (* 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 (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))) (/ 1 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)) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
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(* t (+ (* -1/2 (/ a (pow z 2))) (* -1/4 (/ (* (pow a 2) t) (pow z 4))))) |
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(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* t (+ (* -1 a) (/ (pow z 2) t))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
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(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
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(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* (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 4) (sqrt -1))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
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(+ (* -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 (* (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 (/ a t)) (/ (sqrt -1) z))) (* -1 (log (/ -1 t)))) |
(+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 t))) (* -1/2 (/ (pow z 2) (* a t))))) |
(+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 t))) (+ (* -1/2 (/ (pow z 2) (* a t))) (* -1/4 (/ (pow z 4) (* (pow a 2) (pow t 2))))))) |
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(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* -1 (* t (+ a (* -1 (/ (pow z 2) t))))) |
(+ 1 (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))) (* 1/2 (/ t (pow z 2)))))) |
(+ 1 (* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) |
(* a (+ (* 1/4 (/ (* a (pow t 2)) (pow z 4))) (* 1/2 (/ t (pow z 2))))) |
(* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* -1/6 (* a (+ (* -3/4 (/ (pow t 3) (pow z 6))) (* -1/4 (/ (pow t 3) (pow z 6)))))) (* 1/4 (/ (pow t 2) (pow z 4))))))) |
(* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* 1/4 (/ (pow t 2) (pow z 4))) (* a (+ (* -1/6 (+ (* -3/4 (/ (pow t 3) (pow z 6))) (* -1/4 (/ (pow t 3) (pow z 6))))) (* -1/24 (* a (+ (* -12 (/ (+ (* 1/64 (/ (pow t 4) (pow z 6))) (* 1/16 (/ (pow t 4) (pow z 6)))) (pow z 2))) (+ (* -3/2 (/ (pow t 4) (pow z 8))) (+ (* -3/8 (/ (pow t 4) (pow z 8))) (* -3/16 (/ (pow t 4) (pow z 8)))))))))))))) |
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(+ 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)))))))))))) |
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(+ 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 (/ t (pow z 2))) (* -1/4 (/ (* a (pow t 2)) (pow z 4))))) |
(* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/4 (/ (pow t 2) (pow z 4))) (* 1/6 (* a (+ (* -3/4 (/ (pow t 3) (pow z 6))) (* -1/4 (/ (pow t 3) (pow z 6)))))))))) |
(* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/4 (/ (pow t 2) (pow z 4))) (* a (+ (* 1/24 (* a (+ (* -12 (/ (+ (* 1/64 (/ (pow t 4) (pow z 6))) (* 1/16 (/ (pow t 4) (pow z 6)))) (pow z 2))) (+ (* -3/2 (/ (pow t 4) (pow z 8))) (+ (* -3/8 (/ (pow t 4) (pow z 8))) (* -3/16 (/ (pow t 4) (pow z 8)))))))) (* 1/6 (+ (* -3/4 (/ (pow t 3) (pow z 6))) (* -1/4 (/ (pow t 3) (pow z 6))))))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 5) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))))) |
(* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ 1 a))))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ 1 a))))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ 1 a))))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* 1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ 1 a))))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (+ (* -1/720 (/ (+ (* 30 (/ (* (pow a 3) (pow z 6)) (* (pow t 3) (pow (sqrt -1) 6)))) (* 90 (/ (* (pow a 3) (pow z 6)) (* (pow t 3) (pow (sqrt -1) 6))))) (pow a 6))) (* 1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* 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)))) (/ (* 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)))) (/ (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (+ (* 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))) (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 (* (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 (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ 1 a)))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ 1 a))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ 1 a))) (+ (* -1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ 1 a))) (+ (* -1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (+ (* 1/720 (/ (+ (* 30 (/ (* (pow a 3) (pow z 6)) (* (pow t 3) (pow (sqrt -1) 6)))) (* 90 (/ (* (pow a 3) (pow z 6)) (* (pow t 3) (pow (sqrt -1) 6))))) (pow a 6))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))))))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* a (+ (* -1 t) (/ (pow z 2) a))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) (* 1/2 (/ (pow z 2) (* a t)))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) (+ (* 1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 1/2 (/ (pow z 2) (* a t))))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) (+ (* -1/720 (/ (+ (* -90 (/ (* (pow a 3) (pow z 6)) (pow t 3))) (* -30 (/ (* (pow a 3) (pow z 6)) (pow t 3)))) (pow a 6))) (+ (* 1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 1/2 (/ (pow z 2) (* a t)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -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))) (* 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))) (* (pow z 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* (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 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (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 (+ (* 1/2 (* (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 (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a)))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 a))) (* -1/2 (/ (pow z 2) (* a t))))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 a))) (+ (* -1/2 (/ (pow z 2) (* a t))) (* -1/4 (/ (pow z 4) (* (pow a 2) (pow t 2))))))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 a))) (+ (* -1/2 (/ (pow z 2) (* a t))) (+ (* -1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 1/720 (/ (+ (* -90 (/ (* (pow a 3) (pow z 6)) (pow t 3))) (* -30 (/ (* (pow a 3) (pow z 6)) (pow t 3)))) (pow a 6))))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* -1 (* a (+ t (* -1 (/ (pow z 2) a))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | y | @ | inf | ((exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1) (* (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) y) x) (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) y) (* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (* (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) y) (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) (pow (+ (* (neg a) t) (* z z)) -1/2) (/ 1 z) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (* y x) (sqrt (+ (* (neg a) t) (* z z))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (log (/ (sqrt (- (* z z) (* t a))) z)) (sqrt (- (* z z) (* t a))) (+ (* (* -1/2 t) (/ a z)) z) (* z x) (+ (* (neg a) t) (* z z))) |
| 19.0ms | a | @ | 0 | ((exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1) (* (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) y) x) (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) y) (* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (* (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) y) (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) (pow (+ (* (neg a) t) (* z z)) -1/2) (/ 1 z) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (* y x) (sqrt (+ (* (neg a) t) (* z z))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (log (/ (sqrt (- (* z z) (* t a))) z)) (sqrt (- (* z z) (* t a))) (+ (* (* -1/2 t) (/ a z)) z) (* z x) (+ (* (neg a) t) (* z z))) |
| 6.0ms | a | @ | inf | ((exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1) (* (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) y) x) (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) y) (* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (* (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) y) (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) (pow (+ (* (neg a) t) (* z z)) -1/2) (/ 1 z) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (* y x) (sqrt (+ (* (neg a) t) (* z z))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (log (/ (sqrt (- (* z z) (* t a))) z)) (sqrt (- (* z z) (* t a))) (+ (* (* -1/2 t) (/ a z)) z) (* z x) (+ (* (neg a) t) (* z z))) |
| 5.0ms | t | @ | inf | ((exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1) (* (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) y) x) (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) y) (* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (* (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) y) (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) (pow (+ (* (neg a) t) (* z z)) -1/2) (/ 1 z) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (* y x) (sqrt (+ (* (neg a) t) (* z z))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (log (/ (sqrt (- (* z z) (* t a))) z)) (sqrt (- (* z z) (* t a))) (+ (* (* -1/2 t) (/ a z)) z) (* z x) (+ (* (neg a) t) (* z z))) |
| 5.0ms | z | @ | inf | ((exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1) (* (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) y) x) (* (exp (* (log (/ (sqrt (- (* z z) (* t a))) z)) -1)) y) (* (* (/ z (sqrt (- (* z z) (* t a)))) y) x) (* (/ z (sqrt (- (* z z) (* t a)))) y) (/ z (sqrt (- (* z z) (* t a)))) (* (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) y) (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) (pow (+ (* (neg a) t) (* z z)) -1/2) (/ 1 z) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (* y x) (sqrt (+ (* (neg a) t) (* z z))) (* (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) y) (* (/ z (sqrt (+ (* (neg a) t) (* z z)))) x) (/ z (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (log (/ (sqrt (- (* z z) (* t a))) z)) (sqrt (- (* z z) (* t a))) (+ (* (* -1/2 t) (/ a z)) z) (* z x) (+ (* (neg a) t) (* z z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1465 | 11219 |
| 1 | 4825 | 10851 |
| 0 | 9187 | 10433 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x y) |
(* x z) |
(* (* y z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1)))))))))) |
(* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) |
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* (pow z 2) (- (* 1/4 (/ (pow z 2) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))) |
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* (pow z 2) (- (* (pow z 2) (+ (* -1/6 (/ (pow z 2) (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 6))))) (* 1/4 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* (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))) (* 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))) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* (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))))))) |
(+ (* (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 z) |
(* (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 (* 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 (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z))) |
(+ (log (* (sqrt (* a t)) (sqrt -1))) (+ (* -1 (log z)) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))))) |
(+ (log (* (sqrt (* a t)) (sqrt -1))) (+ (* -1 (log z)) (* (pow z 2) (+ (* -1/4 (/ (pow z 2) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2))))))))) |
(+ (log (* (sqrt (* a t)) (sqrt -1))) (+ (* -1 (log z)) (* (pow z 2) (+ (* (pow z 2) (- (* 1/6 (/ (pow z 2) (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 6))))) (* 1/4 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2))))))))) |
(* -1/2 (/ (* a t) z)) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(* -1 (* a t)) |
(+ (* -1 (* a t)) (pow z 2)) |
1 |
(+ 1 (* 1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) |
(* 1/2 (/ (* a t) (pow z 2))) |
(/ (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t))) (pow z 2)) |
(/ (+ (* -1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 4))) (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t)))) (pow z 2)) |
(/ (+ (* -1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 4))) (+ (* -1/40320 (/ (+ (* -20160 (+ (* 1/64 (* (pow a 4) (pow t 4))) (* 1/16 (* (pow a 4) (pow t 4))))) (+ (* -2520 (* (pow a 4) (pow t 4))) (+ (* -630 (* (pow a 4) (pow t 4))) (* -315 (* (pow a 4) (pow t 4)))))) (pow z 6))) (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/2 (* a t))))) (pow z 2)) |
(+ (* 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)))) |
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)))))) |
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)))))) |
(/ (+ 1 (* 1/2 (/ (* a t) (pow z 2)))) z) |
(/ (+ 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))))) z) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) z) |
(/ (* 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) |
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))) |
(/ (+ (* -1/2 (* a t)) (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2)))) (pow z 2)) |
(/ (+ (* -1/2 (* a t)) (+ (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (* 1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 4))))) (pow z 2)) |
(/ (+ (* -1/2 (* a t)) (+ (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 2))) (+ (* 1/40320 (/ (+ (* -20160 (+ (* 1/64 (* (pow a 4) (pow t 4))) (* 1/16 (* (pow a 4) (pow t 4))))) (+ (* -2520 (* (pow a 4) (pow t 4))) (+ (* -630 (* (pow a 4) (pow t 4))) (* -315 (* (pow a 4) (pow t 4)))))) (pow z 6))) (* 1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 4)))))) (pow z 2)) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
-1 |
(- (* -1/2 (/ (* a t) (pow z 2))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4)))) 1) |
(- (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* 1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))))) 1) |
(* -1 (log -1)) |
(+ (* -1 (log -1)) (* 1/2 (/ (* a t) (pow z 2)))) |
(+ (* -1 (log -1)) (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) |
(+ (* -1 (log -1)) (+ (* -1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 6))) (+ (* 1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* x y)) |
(+ (* -1 (* 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 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 x) |
(+ (* -1 x) (* -1/2 (/ (* a (* t x)) (pow z 2)))) |
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))))) |
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (+ (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) |
(/ -1 z) |
(* -1 (/ (+ 1 (* 1/2 (/ (* a t) (pow z 2)))) z)) |
(* -1 (/ (+ 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))))) z)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) (pow z 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))) (pow z 6))) (* 1/2 (/ (* a t) (pow z 2)))))) z)) |
(* -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 (* 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) (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4))))) |
(+ (log -1) (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/4 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/720 (/ (+ (* -90 (* (pow a 3) (pow t 3))) (* -30 (* (pow a 3) (pow t 3)))) (pow z 6)))))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(+ 1 (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 2)))))) |
(+ 1 (* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* -1/2 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) |
(* t (+ (* 1/4 (/ (* (pow a 2) t) (pow z 4))) (* 1/2 (/ a (pow z 2))))) |
(* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* -1/6 (* t (+ (* -3/4 (/ (pow a 3) (pow z 6))) (* -1/4 (/ (pow a 3) (pow z 6)))))) (* 1/4 (/ (pow a 2) (pow z 4))))))) |
(* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* 1/4 (/ (pow a 2) (pow z 4))) (* t (+ (* -1/6 (+ (* -3/4 (/ (pow a 3) (pow z 6))) (* -1/4 (/ (pow a 3) (pow z 6))))) (* -1/24 (* t (+ (* -12 (/ (+ (* 1/64 (/ (pow a 4) (pow z 6))) (* 1/16 (/ (pow a 4) (pow z 6)))) (pow z 2))) (+ (* -3/2 (/ (pow a 4) (pow z 8))) (+ (* -3/8 (/ (pow a 4) (pow z 8))) (* -3/16 (/ (pow a 4) (pow z 8)))))))))))))) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
(+ 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)))))))))))) |
(+ 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) (pow z 3))) (/ 1 z)) |
(+ (* t (+ (* -1/2 (* t (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))) (* 1/2 (/ a (pow z 3))))) (/ 1 z)) |
(+ (* t (+ (* 1/2 (/ a (pow z 3))) (* t (+ (* -1/2 (* t (* 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 (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))) (/ 1 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)) |
(+ 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 (/ a (pow z 2))) (* -1/4 (/ (* (pow a 2) t) (pow z 4))))) |
(* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/4 (/ (pow a 2) (pow z 4))) (* 1/6 (* t (+ (* -3/4 (/ (pow a 3) (pow z 6))) (* -1/4 (/ (pow a 3) (pow z 6)))))))))) |
(* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/4 (/ (pow a 2) (pow z 4))) (* t (+ (* 1/24 (* t (+ (* -12 (/ (+ (* 1/64 (/ (pow a 4) (pow z 6))) (* 1/16 (/ (pow a 4) (pow z 6)))) (pow z 2))) (+ (* -3/2 (/ (pow a 4) (pow z 8))) (+ (* -3/8 (/ (pow a 4) (pow z 8))) (* -3/16 (/ (pow a 4) (pow z 8)))))))) (* 1/6 (+ (* -3/4 (/ (pow a 3) (pow z 6))) (* -1/4 (/ (pow a 3) (pow z 6))))))))))) |
(+ (* -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)))))) |
(* -1 (+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (* -1 (log (/ 1 t))))) |
(+ (* -1 (+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (* -1 (log (/ 1 t))))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(+ (* -1 (+ (log (* (sqrt (/ a t)) (/ (sqrt -1) z))) (* -1 (log (/ 1 t))))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* 1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))) |
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(* -1 (* t (+ a (* -1 (/ (pow z 2) t))))) |
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(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
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(* a (+ (* -1/2 (/ t (pow z 2))) (* -1/4 (/ (* a (pow t 2)) (pow z 4))))) |
(* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/4 (/ (pow t 2) (pow z 4))) (* 1/6 (* a (+ (* -3/4 (/ (pow t 3) (pow z 6))) (* -1/4 (/ (pow t 3) (pow z 6)))))))))) |
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(* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ 1 a))))) |
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(+ (* -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)))) (/ (pow z 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (+ (* 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))) (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 (* (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 (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ 1 a)))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ 1 a))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ 1 a))) (+ (* -1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ 1 a))) (+ (* -1/4 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (+ (* 1/720 (/ (+ (* 30 (/ (* (pow a 3) (pow z 6)) (* (pow t 3) (pow (sqrt -1) 6)))) (* 90 (/ (* (pow a 3) (pow z 6)) (* (pow t 3) (pow (sqrt -1) 6))))) (pow a 6))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))))))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* a (+ (* -1 t) (/ (pow z 2) a))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* (pow z 5) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) (* 1/2 (/ (pow z 2) (* a t)))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) (+ (* 1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 1/2 (/ (pow z 2) (* a t))))) |
(+ (* -1 (+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a))))) (+ (* -1/720 (/ (+ (* -90 (/ (* (pow a 3) (pow z 6)) (pow t 3))) (* -30 (/ (* (pow a 3) (pow z 6)) (pow t 3)))) (pow a 6))) (+ (* 1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 1/2 (/ (pow z 2) (* a t)))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -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))) (* 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))) (* (pow z 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ t a)) (* (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 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (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 (+ (* 1/2 (* (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 (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a)))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 a))) (* -1/2 (/ (pow z 2) (* a t))))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 a))) (+ (* -1/2 (/ (pow z 2) (* a t))) (* -1/4 (/ (pow z 4) (* (pow a 2) (pow t 2))))))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 a))) (+ (* -1/2 (/ (pow z 2) (* a t))) (+ (* -1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 1/720 (/ (+ (* -90 (/ (* (pow a 3) (pow z 6)) (pow t 3))) (* -30 (/ (* (pow a 3) (pow z 6)) (pow t 3)))) (pow a 6))))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* -1 (* a (+ t (* -1 (/ (pow z 2) a))))) |
| Outputs |
|---|
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x z) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z))))) |
(* x y) |
(*.f64 x y) |
(* x z) |
(*.f64 x z) |
(* (* y z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) (*.f64 y z)) |
(* (sqrt (/ 1 (* a t))) (* z (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 z z) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64)))) (*.f64 z z)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 a t)) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* z (+ (* (sqrt (/ 1 (* a t))) (sqrt -1)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (sqrt -1)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 z z) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (neg.f64 t) a)) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 t #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (*.f64 a t)) (*.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)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 a t))))) (*.f64 z z) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) |
(neg.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 z))) |
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 t)) (/.f64 (*.f64 z z) a) (neg.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 z)))) |
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* (pow z 2) (- (* 1/4 (/ (pow z 2) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 a a)) (/.f64 (*.f64 z z) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 t t))) (/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 t) a))) (*.f64 z z) (neg.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 z)))) |
(+ (* -1 (+ (log (* (sqrt (* a t)) (sqrt -1))) (* -1 (log z)))) (* (pow z 2) (- (* (pow z 2) (+ (* -1/6 (/ (pow z 2) (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 6))))) (* 1/4 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 z z) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 t t)) (*.f64 a a)))) (*.f64 z z) (/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 t) a))) (*.f64 z z) (neg.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 z)))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 (*.f64 z z) y) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (*.f64 a t)) (*.f64 (*.f64 x (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))))) (*.f64 z z) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 x (/.f64 (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (neg.f64 t) a)) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 t #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (*.f64 a t)) (*.f64 (/.f64 (*.f64 (*.f64 x y) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 a t))))) (*.f64 z z) (*.f64 (*.f64 (*.f64 x (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* (sqrt (/ 1 (* a t))) (* y (* z (sqrt -1)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* y (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 z z) y) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ y (sqrt -1)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 z z) y) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 a t)) (*.f64 (/.f64 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 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))))) z) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* y (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))))))))) |
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(/ (* x y) z) |
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z |
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(pow z 2) |
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-1 |
#s(literal -1 binary64) |
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(* -1 (log -1)) |
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(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
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(*.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 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 (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 (*.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)) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (* -1 (log (/ -1 a)))) |
(-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 t a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) z))) (log.f64 (/.f64 #s(literal -1 binary64) a))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 a))) (* -1/2 (/ (pow z 2) (* a t))))) |
(+.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 t a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) z))) (log.f64 (/.f64 #s(literal -1 binary64) a))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 z z) t))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 a))) (+ (* -1/2 (/ (pow z 2) (* a t))) (* -1/4 (/ (pow z 4) (* (pow a 2) (pow t 2))))))) |
(+.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 t a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) z))) (log.f64 (/.f64 #s(literal -1 binary64) a))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 z z) t) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 t t) (*.f64 a a))))) |
(+ (log (* (sqrt (/ t a)) (/ (sqrt -1) z))) (+ (* -1 (log (/ -1 a))) (+ (* -1/2 (/ (pow z 2) (* a t))) (+ (* -1/4 (/ (pow z 4) (* (pow a 2) (pow t 2)))) (* 1/720 (/ (+ (* -90 (/ (* (pow a 3) (pow z 6)) (pow t 3))) (* -30 (/ (* (pow a 3) (pow z 6)) (pow t 3)))) (pow a 6))))))) |
(+.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 z z) t) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))) #s(literal -120 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 t t) (*.f64 a a))))) (log.f64 (/.f64 #s(literal -1 binary64) a))) (log.f64 (*.f64 (sqrt.f64 (/.f64 t a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) z)))) |
(* -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 (+ t (* -1 (/ (pow z 2) a))))) |
(*.f64 (-.f64 t (/.f64 (*.f64 z z) a)) (neg.f64 a)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 347 |
| 0 | 80 | 341 |
| 1 | 217 | 334 |
| 2 | 1045 | 333 |
| 0 | 9052 | 333 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) y) x) |
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) y) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
(*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) |
#s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) |
(*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) |
#s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) z) |
(/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) |
(*.f64 y x) |
(sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(/.f64 z (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 #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 z x) |
#s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)) |
| Outputs |
|---|
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 z)))) |
(*.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)) z) |
(*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) |
(*.f64 #s(literal 1 binary64) (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 z (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) |
(pow.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 z)))) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z))) |
(/.f64 (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal -1 binary64)) |
(/.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 z) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (neg.f64 z))) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(neg.f64 (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) (/.f64 (neg.f64 z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)))) |
(exp.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) |
(*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) (log.f64 (exp.f64 #s(literal -1 binary64)))) |
(*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (log.f64 (*.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 2 binary64)) (*.f64 (log.f64 z) (+.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (neg.f64 (log.f64 (*.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 2 binary64)) (*.f64 (log.f64 z) (+.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))))) |
(neg.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) #s(literal -1 binary64))) |
(neg.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) |
(fma.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 z)) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 z)))) |
(-.f64 (log.f64 (neg.f64 z)) (log.f64 (neg.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) |
(-.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 z)))) |
(+.f64 (neg.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 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal -1 binary64)) (*.f64 (neg.f64 (log.f64 z)) #s(literal -1 binary64))) |
(+.f64 (log.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #s(literal -1/2 binary64)))) |
(+.f64 (log.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64))) (log.f64 z)) |
(+.f64 (log.f64 z) (log.f64 (pow.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #s(literal -1 binary64)))) |
(log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(*.f64 (*.f64 (*.f64 x y) (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 x 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))) z) |
(*.f64 (/.f64 x (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) y) |
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(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 (*.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 z) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) #s(literal 1 binary64) z) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) t) (pow.f64 a #s(literal -1 binary64))) z) |
(fma.f64 #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 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)) |
(fma.f64 (/.f64 a z) (/.f64 (*.f64 #s(literal -1/2 binary64) t) #s(literal 1 binary64)) 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 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 (/.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)) |
(*.f64 (*.f64 x z) #s(literal 1 binary64)) |
(*.f64 x z) |
(*.f64 z x) |
(/.f64 x (pow.f64 z #s(literal -1 binary64))) |
#s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)) |
Compiled 29 347 to 4 195 computations (85.7% saved)
36 alts after pruning (32 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 747 | 13 | 760 |
| Fresh | 2 | 19 | 21 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 751 | 36 | 787 |
| Status | Accuracy | Program |
|---|---|---|
| 32.3% | (/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) | |
| 60.2% | (/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| 34.2% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) | |
| 44.9% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| 18.0% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| 22.2% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) | |
| 63.7% | (/.f64 (neg.f64 z) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) y) (neg.f64 x))) | |
| 63.3% | (/.f64 x (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (*.f64 y z))) | |
| 63.5% | (*.f64 (/.f64 (*.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) x) | |
| 33.9% | (*.f64 (/.f64 z (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 x y)) | |
| 78.0% | (*.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) y) x) | |
| 67.5% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) | |
| ✓ | 62.7% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
| 46.3% | (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (/.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) (neg.f64 z))))) y) x) | |
| 77.8% | (*.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 z)))) y) x) | |
| 77.9% | (*.f64 (*.f64 (*.f64 (neg.f64 z) (/.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)))) y) x) | |
| 78.0% | (*.f64 (*.f64 (exp.f64 (-.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) y) x) | |
| 73.5% | (*.f64 (*.f64 (exp.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 z)) (neg.f64 (log.f64 z)))) (-.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (neg.f64 (log.f64 z)))) #s(literal -1 binary64))) y) x) | |
| 73.5% | (*.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 2 binary64)) (*.f64 (log.f64 z) (+.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))))) #s(literal -1 binary64))) y) x) | |
| 46.4% | (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (/.f64 (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)))) (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))) z)) #s(literal -1 binary64))) y) x) | |
| 78.0% | (*.f64 (*.f64 (exp.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) y) x) | |
| 75.1% | (*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))) (*.f64 z x)) y) | |
| ✓ | 75.3% | (*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) |
| ✓ | 73.9% | (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
| 27.4% | (*.f64 (*.f64 z (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) y) | |
| 71.2% | (*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) | |
| 27.6% | (*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg t) a) (* z z))) (/.f64 #s(literal -1 binary64) (*.f64 a t)))) y))) | |
| 71.1% | (*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) (/.f64 #s(literal 1 binary64) z)) y))) | |
| 33.0% | (*.f64 (*.f64 x (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) z) | |
| 36.4% | (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) (*.f64 (neg.f64 y) x)))) | |
| 63.2% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 x y) z)) z) | |
| 62.1% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x (/.f64 z y))) z) | |
| 55.4% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 y (/.f64 x z))) z) | |
| 61.7% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 x (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)))) z) | |
| 19.2% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x x) y) x)))) | |
| ✓ | 15.0% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
Compiled 2 444 to 998 computations (59.2% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
(*.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 y (/.f64 x z))) 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 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) (/.f64 #s(literal 1 binary64) z)) y))) |
(*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) |
(*.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) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x x) y) x)))) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 (*.f64 x (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) z) |
(*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a))))) |
(*.f64 (*.f64 z (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) y) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 x y)) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg t) a) (* z z))) (/.f64 #s(literal -1 binary64) (*.f64 a t)))) y))) |
(/.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 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) |
(*.f64 #s(approx (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t x) a) z) x)) 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))) x) 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) |
(*.f64 (/.f64 (*.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) x) |
(/.f64 (*.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 x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (*.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) z) x) |
(*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) x) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
#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 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 t) a (*.f64 z z)))) y))) |
(/.f64 x (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (*.f64 y z))) |
(/.f64 (*.f64 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 (*.f64 (*.f64 (neg.f64 z) (/.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)))) y) x) |
(/.f64 (neg.f64 z) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) y) (neg.f64 x))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal -1/2 binary64)) (*.f64 z x)) y) |
(*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) (*.f64 (neg.f64 y) x)))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (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))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (/.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) (neg.f64 z))))) y) x) |
(*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))) (*.f64 z x)) y) |
(/.f64 (*.f64 (*.f64 x y) z) (pow.f64 (pow.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (exp.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) y) x) |
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z)) #s(literal -1 binary64))) y) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 y x)) z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (exp.f64 (-.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))) y) x) |
(*.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) y) x) |
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (/.f64 (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 a z) t) #s(literal 2 binary64)))) (+.f64 z (*.f64 (*.f64 (/.f64 a z) t) #s(literal 1/2 binary64))))) z)) #s(literal -1 binary64))) y) x) |
(*.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 z)))) y) x) |
(*.f64 (*.f64 (exp.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 z)) (neg.f64 (log.f64 z)))) (-.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (neg.f64 (log.f64 z)))) #s(literal -1 binary64))) y) x) |
(*.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) #s(literal 2 binary64)) (*.f64 (log.f64 z) (+.f64 (log.f64 z) (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))))) #s(literal -1 binary64))) y) x) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z 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) |
8 calls:
| 110.0ms | a |
| 86.0ms | z |
| 30.0ms | (*.f64 x y) |
| 17.0ms | x |
| 17.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.0% | 1 | x |
| 78.0% | 1 | y |
| 93.9% | 2 | z |
| 78.0% | 1 | t |
| 81.6% | 2 | a |
| 93.9% | 3 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 78.0% | 1 | (*.f64 x y) |
| 84.9% | 2 | (*.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 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
(*.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 y (/.f64 x z))) 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 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) (/.f64 #s(literal 1 binary64) z)) y))) |
(*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) |
(*.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) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x x) y) x)))) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 (*.f64 x (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) z) |
(*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a))))) |
(*.f64 (*.f64 z (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) y) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 x y)) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg t) a) (* z z))) (/.f64 #s(literal -1 binary64) (*.f64 a t)))) y))) |
(/.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 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) |
(*.f64 #s(approx (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t x) a) z) x)) 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))) x) 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) |
(*.f64 (/.f64 (*.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) x) |
(/.f64 (*.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 x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (*.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 t) a (*.f64 z z))))) z) x) |
(*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) y) |
| Outputs |
|---|
(*.f64 (*.f64 z y) (/.f64 x (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:
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.4% | 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 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
(*.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 y (/.f64 x z))) 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 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) (/.f64 #s(literal 1 binary64) z)) y))) |
(*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) |
(*.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) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x x) y) x)))) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 (*.f64 x (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) z) |
(*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a))))) |
(*.f64 (*.f64 z (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) y) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 x y)) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg t) a) (* z z))) (/.f64 #s(literal -1 binary64) (*.f64 a t)))) y))) |
(/.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 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) |
(*.f64 #s(approx (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t x) a) z) x)) 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))) x) 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) |
(*.f64 (/.f64 (*.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) x) |
(/.f64 (*.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 x) (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) |
(*.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))) x) y) |
2 calls:
| 9.0ms | z |
| 8.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.1% | 3 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 91.5% | 3 | 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 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
(*.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 y (/.f64 x z))) 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 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) (/.f64 #s(literal 1 binary64) z)) y))) |
(*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) |
(*.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) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x x) y) x)))) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 (*.f64 x (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) z) |
(*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a))))) |
(*.f64 (*.f64 z (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) y) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 x y)) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg t) a) (* z z))) (/.f64 #s(literal -1 binary64) (*.f64 a t)))) y))) |
(/.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 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) |
(*.f64 #s(approx (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t x) a) z) x)) 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))) x) 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) |
(*.f64 (/.f64 (*.f64 y z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) x) |
(/.f64 (*.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))) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) y) x) |
1 calls:
| 39.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.2% | 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 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
(*.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 y (/.f64 x z))) 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 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) (/.f64 #s(literal 1 binary64) z)) y))) |
(*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) |
(*.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) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x x) y) x)))) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 (*.f64 x (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) z) |
(*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a))))) |
(*.f64 (*.f64 z (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) y) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 x y)) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg t) a) (* z z))) (/.f64 #s(literal -1 binary64) (*.f64 a t)))) y))) |
(/.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 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) |
(*.f64 #s(approx (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t x) a) z) x)) 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))) x) y) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) |
1 calls:
| 8.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.2% | 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 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
(*.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 y (/.f64 x z))) 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 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) (/.f64 #s(literal 1 binary64) z)) y))) |
(*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) |
(*.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) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x x) y) x)))) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 (*.f64 x (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) z) |
(*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a))))) |
(*.f64 (*.f64 z (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) y) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 x y)) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg t) a) (* z z))) (/.f64 #s(literal -1 binary64) (*.f64 a t)))) y))) |
(/.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 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) |
(*.f64 #s(approx (* (pow (+ (* (neg a) t) (* z z)) -1/2) (* z x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t x) a) z) x)) y) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
2 calls:
| 47.0ms | z |
| 7.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 3 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 85.8% | 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 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
(*.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 y (/.f64 x z))) 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 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) (/.f64 #s(literal 1 binary64) z)) y))) |
(*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) |
(*.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) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x x) y) x)))) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 (*.f64 x (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) z) |
(*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a))))) |
(*.f64 (*.f64 z (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) y) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 x y)) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 t) a)))) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* (neg t) a) (* z z))) (/.f64 #s(literal -1 binary64) (*.f64 a t)))) y))) |
(/.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 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) z) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
1 calls:
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.3% | 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 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
(*.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 y (/.f64 x z))) 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 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) (/.f64 #s(literal 1 binary64) z)) y))) |
(*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) |
(*.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) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x x) y) x)))) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
(*.f64 (*.f64 x (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) z) |
(*.f64 (*.f64 z x) (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a))))) |
(*.f64 (*.f64 z (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) y) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 x y)) |
| Outputs |
|---|
(*.f64 (*.f64 x (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) z) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
1 calls:
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.1% | 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 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
(*.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 y (/.f64 x z))) 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 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) (/.f64 #s(literal 1 binary64) z)) y))) |
(*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) |
(*.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) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x x) y) x)))) |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 z z)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
8 calls:
| 12.0ms | t |
| 5.0ms | y |
| 5.0ms | x |
| 5.0ms | z |
| 5.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.9% | 2 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 77.2% | 2 | x |
| 77.2% | 2 | (*.f64 x y) |
| 75.3% | 1 | y |
| 75.3% | 1 | t |
| 75.3% | 1 | a |
| 75.3% | 1 | (*.f64 t a) |
| 77.3% | 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 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
(*.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 y (/.f64 x z))) 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 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 #s(approx (sqrt (/ 1 (+ (* (neg t) a) (* z z)))) (/.f64 #s(literal 1 binary64) z)) y))) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
8 calls:
| 9.0ms | x |
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | a |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.9% | 1 | y |
| 73.9% | 1 | t |
| 73.9% | 1 | a |
| 73.9% | 1 | (*.f64 t a) |
| 73.9% | 1 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 73.9% | 1 | (*.f64 x y) |
| 75.5% | 2 | x |
| 75.7% | 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 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
(*.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 y (/.f64 x z))) 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))) |
| Outputs |
|---|
(*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
2 calls:
| 16.0ms | x |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.5% | 2 | x |
| 73.9% | 1 | z |
Compiled 2 to 10 computations (-400% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
(*.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 y (/.f64 x z))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 x y) z)) z) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
3 calls:
| 2.0ms | a |
| 2.0ms | x |
| 2.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.9% | 1 | a |
| 73.9% | 1 | (*.f64 x y) |
| 73.9% | 1 | x |
Compiled 5 to 16 computations (-220% 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:
| 19.0ms | t |
| 1.0ms | a |
| 1.0ms | (*.f64 x y) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 15.0% | 1 | t |
| 15.0% | 1 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 15.0% | 1 | x |
| 15.0% | 1 | y |
| 15.0% | 1 | z |
| 15.0% | 1 | (*.f64 t a) |
| 15.0% | 1 | a |
| 15.0% | 1 | (*.f64 x y) |
Compiled 25 to 49 computations (-96% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 3.404508221123475e+83 | 9.586884979220738e+85 |
| 4.0ms | 64× | 0 | valid |
| 0.0ms | 3× | 0 | invalid |
Compiled 165 to 144 computations (12.7% saved)
ival-mult: 2.0ms (74% 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 |
|---|---|---|
| 46.0ms | 1.185505074396413e+72 | 5.652238750010042e+74 |
| 40.0ms | 128× | 0 | valid |
| 0.0ms | 6× | 0 | invalid |
Compiled 313 to 268 computations (14.4% saved)
ival-mult: 3.0ms (55.9% of total)ival-sub: 1.0ms (18.6% of total)ival-div: 1.0ms (18.6% of total)ival-sqrt: 1.0ms (18.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 3.404508221123475e+83 | 9.586884979220738e+85 |
| 20.0ms | 9.609008628774744e-157 | 4.904277829292732e-149 |
| 14.0ms | 208× | 0 | valid |
| 3.0ms | 47× | 0 | invalid |
Compiled 637 to 556 computations (12.7% saved)
ival-mult: 6.0ms (60.3% of total)ival-sqrt: 2.0ms (20.1% of total)ival-sub: 1.0ms (10% of total)ival-div: 1.0ms (10% 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 | 1.019952386841959e-135 | 4.756917833344639e-132 |
| 9.0ms | 128× | 0 | valid |
| 2.0ms | 35× | 0 | invalid |
Compiled 377 to 316 computations (16.2% saved)
ival-mult: 4.0ms (60.5% 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 |
|---|---|---|
| 1.0ms | 1.019952386841959e-135 | 4.756917833344639e-132 |
Compiled 377 to 316 computations (16.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 6.106399542522695e-83 | 4.736457080520575e-76 |
| 10.0ms | 144× | 0 | valid |
| 3.0ms | 41× | 0 | invalid |
Compiled 359 to 326 computations (9.2% saved)
ival-mult: 4.0ms (54.7% of total)ival-sub: 1.0ms (13.7% of total)ival-div: 1.0ms (13.7% of total)ival-sqrt: 1.0ms (13.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.106399542522695e-83 | 4.736457080520575e-76 |
Compiled 341 to 308 computations (9.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.019952386841959e-135 | 4.756917833344639e-132 |
Compiled 305 to 276 computations (9.5% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 5.57462597492243e-88 | 6.106399542522695e-83 |
| 3.0ms | 48× | 0 | valid |
| 1.0ms | 20× | 0 | invalid |
Compiled 125 to 119 computations (4.8% saved)
ival-mult: 2.0ms (76.8% 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 |
|---|---|---|
| 29.0ms | 2.9022900722656747e-223 | 2.0961667123239578e-221 |
| 20.0ms | 112× | 0 | valid |
| 4.0ms | 54× | 0 | invalid |
Compiled 248 to 230 computations (7.3% saved)
ival-sqrt: 13.0ms (71.2% of total)ival-mult: 4.0ms (21.9% of total)ival-sub: 1.0ms (5.5% of total)ival-div: 1.0ms (5.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 5.06074995220687e-157 | 1.293470061871091e-154 |
| 8.0ms | 112× | 0 | valid |
Compiled 262 to 237 computations (9.5% saved)
ival-mult: 3.0ms (66.5% of total)ival-div: 1.0ms (22.2% of total)ival-sqrt: 1.0ms (22.2% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 520 |
| 1 | 156 | 520 |
| 2 | 188 | 512 |
| 3 | 221 | 512 |
| 4 | 269 | 512 |
| 5 | 339 | 512 |
| 6 | 489 | 512 |
| 7 | 869 | 512 |
| 8 | 1192 | 512 |
| 9 | 1465 | 512 |
| 10 | 1625 | 512 |
| 11 | 1703 | 512 |
| 12 | 1733 | 512 |
| 13 | 1748 | 512 |
| 14 | 1757 | 512 |
| 15 | 1766 | 512 |
| 16 | 1767 | 512 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 z #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z 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)) |
(if (<=.f64 z #s(literal 1549999999999999942316721355256651167768960321267789649373183178612670464 binary64)) (*.f64 (*.f64 z y) (/.f64 x (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 3224821407928563/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) (if (<=.f64 z #s(literal 58999999999999996722163210535479236366379018917799377026772653140786052393303210459136 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))) x) y))) |
(if (<=.f64 z #s(literal 5754006927942437/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) y) x)) |
(if (<=.f64 z #s(literal 5754006927942437/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y)) |
(if (<=.f64 z #s(literal 2294517323743165/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x)) |
(if (<=.f64 z #s(literal 2294517323743165/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) z) (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x)) |
(if (<=.f64 z #s(literal 5754006927942437/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) (*.f64 (*.f64 x (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) z) (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x)) |
(if (<=.f64 z #s(literal 8958978968711217/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x)) |
(if (<=.f64 z #s(literal 5339620932579571/13023465689218465379062210528752456635048356098273258125773941038601635230112562639690297267327254474107284981627799297745876565730701884922584679789708652433779604647488309684498199777171511767048759797140403519495489742260696213459304448 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x)) |
(if (<=.f64 x #s(literal 8038238047875897/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x)) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
| Outputs |
|---|
(if (<=.f64 z #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (*.f64 (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z 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)) |
(if (<=.f64 z #s(literal 50000000000000000731534761533743651548502149393232752963930539358489818212557410795520 binary64)) (*.f64 x (*.f64 y (/.f64 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))) x) y)) |
(if (<=.f64 z #s(literal 1549999999999999942316721355256651167768960321267789649373183178612670464 binary64)) (*.f64 (*.f64 z y) (/.f64 x (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 1549999999999999942316721355256651167768960321267789649373183178612670464 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 3224821407928563/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) (if (<=.f64 z #s(literal 58999999999999996722163210535479236366379018917799377026772653140786052393303210459136 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))) x) y))) |
(if (<=.f64 z #s(literal 3224821407928563/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) (/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 t (neg.f64 a))))) (if (<=.f64 z #s(literal 58999999999999996722163210535479236366379018917799377026772653140786052393303210459136 binary64)) (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 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))) x) y))) |
(if (<=.f64 z #s(literal 5754006927942437/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) y) x)) |
(if (<=.f64 z #s(literal 5754006927942437/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) (/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 t (neg.f64 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 5754006927942437/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y)) |
(if (<=.f64 z #s(literal 5754006927942437/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) (/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 t (neg.f64 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))) x) y)) |
(if (<=.f64 z #s(literal 2294517323743165/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 z) y) x) (neg.f64 (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x)) |
(if (<=.f64 z #s(literal 2294517323743165/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 t (neg.f64 a))))) (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x)) |
(if (<=.f64 z #s(literal 2294517323743165/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 t) a)))) z) (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x)) |
(if (<=.f64 z #s(literal 2294517323743165/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (*.f64 (/.f64 (*.f64 x y) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 t (neg.f64 a))))) z) (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x)) |
(if (<=.f64 z #s(literal 5754006927942437/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) (*.f64 (*.f64 x (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t))))) z) (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x)) |
(if (<=.f64 z #s(literal 5754006927942437/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) (*.f64 (*.f64 (/.f64 y (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 t (neg.f64 a))))) x) z) (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x)) |
(if (<=.f64 z #s(literal 8958978968711217/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 z x)) y) (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x)) |
(if (<=.f64 z #s(literal 8958978968711217/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (*.f64 (*.f64 #s(approx (pow (+ (* (neg a) t) (* z z)) -1/2) (/.f64 #s(literal 1 binary64) z)) (*.f64 x z)) y) (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x)) |
(if (<=.f64 z #s(literal 5339620932579571/13023465689218465379062210528752456635048356098273258125773941038601635230112562639690297267327254474107284981627799297745876565730701884922584679789708652433779604647488309684498199777171511767048759797140403519495489742260696213459304448 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x)) |
(if (<=.f64 x #s(literal 8038238047875897/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (*.f64 (*.f64 z x) #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z))) (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x)) |
(if (<=.f64 x #s(literal 8038238047875897/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (*.f64 #s(approx (/ y (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y z)) (*.f64 x z)) (*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x)) |
(*.f64 (*.f64 #s(approx (/ z (sqrt (- (* z z) (* t a)))) #s(literal 1 binary64)) y) x) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (neg.f64 y) x)) |
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 |
| 0 | 36 | 189 |
| 0 | 59 | 188 |
| 1 | 193 | 187 |
| 2 | 981 | 187 |
| 0 | 8781 | 187 |
| 0 | 1016 | 7516 |
| 1 | 3343 | 7240 |
| 0 | 8477 | 6948 |
| 0 | 1314 | 10481 |
| 1 | 4290 | 10218 |
| 0 | 8438 | 9813 |
| 0 | 495 | 2495 |
| 1 | 1609 | 2432 |
| 2 | 6504 | 2414 |
| 0 | 8295 | 2311 |
| 0 | 49 | 347 |
| 0 | 80 | 341 |
| 1 | 217 | 334 |
| 2 | 1045 | 333 |
| 0 | 9052 | 333 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 723 to 919 computations (46.7% saved)
(sort t a)
Compiled 1 848 to 754 computations (59.2% saved)
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