
Time bar (total: 12.0s)
| 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)
| 967.0ms | 8 256× | 0 | valid |
| 308.0ms | 2 098× | 0 | invalid |
ival-mult: 584.0ms (73.6% of total)ival-sqrt: 80.0ms (10.1% of total)ival-div: 62.0ms (7.8% of total)ival-sub: 53.0ms (6.7% of total)ival-true: 9.0ms (1.1% of total)ival-assert: 5.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 101 | 0 | - | 2 | (-1.2549725197590282e+221 -8.13733120517888e+177 -9.454700456235854e-158 -4.223710292089537e-212 7.008424819747206e-172) | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
| 36 | 0 | - | 2 | (-1.9020722856188103e+136 1.0802710683889759e-166 -1.162444446685245e-290 -8.257459653169716e-137 2.8185220232284996e-301) | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 29 | 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 | 94 | 0 |
| ↳ | (-.f64 (*.f64 z z) (*.f64 t a)) | overflow | 94 | |
| ↳ | (*.f64 t a) | overflow | 23 | |
| ↳ | (*.f64 z z) | overflow | 82 | |
/.f64 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | o/n | 30 | 0 |
| ↳ | (*.f64 x y) | overflow | 36 | |
| ↳ | (*.f64 (*.f64 x y) z) | overflow | 54 | |
*.f64 | (*.f64 (*.f64 x y) z) | n*u | 20 | 0 |
*.f64 | (*.f64 (*.f64 x y) z) | n*o | 9 | 0 |
-.f64 | (-.f64 (*.f64 z z) (*.f64 t a)) | nan-rescue | 5 | 0 |
| ↳ | (*.f64 z z) | overflow | 82 | |
| ↳ | (*.f64 t a) | overflow | 23 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) | uflow-rescue | 5 | 0 |
| ↳ | (-.f64 (*.f64 z z) (*.f64 t a)) | underflow | 5 | |
| ↳ | (*.f64 t a) | underflow | 34 | |
| ↳ | (*.f64 z z) | underflow | 36 | |
/.f64 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | u/n | 4 | 0 |
| ↳ | (*.f64 x y) | underflow | 31 | |
| ↳ | (*.f64 (*.f64 x y) z) | underflow | 25 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 96 | 2 |
| - | 25 | 133 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 96 | 0 | 2 |
| - | 25 | 0 | 133 |
| number | freq |
|---|---|
| 0 | 135 |
| 1 | 79 |
| 2 | 38 |
| 3 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 318.0ms | 512× | 0 | valid |
Compiled 114 to 40 computations (64.9% saved)
ival-mult: 15.0ms (59.3% of total)ival-sqrt: 4.0ms (15.8% of total)ival-div: 3.0ms (11.9% of total)ival-sub: 2.0ms (7.9% of total)ival-true: 1.0ms (4% 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 |
|---|---|---|
| ▶ | 63.4% | (/.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 | 6.851524516270427 | (*.f64 (*.f64 x y) z) | |
| accuracy | 8.276403749804032 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| accuracy | 23.30634821870225 | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
| 30.0ms | 256× | 0 | valid |
Compiled 50 to 14 computations (72% saved)
ival-mult: 6.0ms (43.2% of total)ival-div: 4.0ms (28.8% of total)ival-sqrt: 2.0ms (14.4% of total)ival-sub: 1.0ms (7.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 z z) (*.f64 t a)) (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1/2 (/ (* a t) z))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ()) |
#s(alt (pow z 2) (taylor 0 a) (#s(alt (-.f64 (*.f64 z z) (*.f64 t a)) (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a t)) (pow z 2)) (taylor 0 a) (#s(alt (-.f64 (*.f64 z z) (*.f64 t a)) (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a t)) (pow z 2)) (taylor 0 a) (#s(alt (-.f64 (*.f64 z z) (*.f64 t a)) (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a t)) (pow z 2)) (taylor 0 a) (#s(alt (-.f64 (*.f64 z z) (*.f64 t a)) (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) (taylor inf a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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)))))) (taylor inf a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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))))))) (taylor inf a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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)))))))) (taylor inf a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a t)) (sqrt -1)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ()) |
#s(alt (* 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))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ()) |
#s(alt (* 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)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a t)) (taylor inf a) (#s(alt (-.f64 (*.f64 z z) (*.f64 t a)) (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (/ (pow z 2) a) t)) (taylor inf a) (#s(alt (-.f64 (*.f64 z z) (*.f64 t a)) (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (/ (pow z 2) a) t)) (taylor inf a) (#s(alt (-.f64 (*.f64 z z) (*.f64 t a)) (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (/ (pow z 2) a) t)) (taylor inf a) (#s(alt (-.f64 (*.f64 z z) (*.f64 t a)) (patch (-.f64 (*.f64 z z) (*.f64 t a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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)))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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))))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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))))))) (taylor -inf a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a t)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (patch (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) #<representation binary64>) () ())) ()) |
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#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 53.0ms | y | @ | -inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a))) |
| 11.0ms | a | @ | 0 | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a))) |
| 5.0ms | y | @ | 0 | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (- (* z z) (* t a))) |
| 5.0ms | 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 | z | @ | 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 | 3663 |
| 1 | 1609 | 3591 |
| 2 | 6491 | 3573 |
| 0 | 8282 | 3461 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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 |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(pow z 2) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(* (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)))) (* (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 (/ 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)))))))) |
(* (sqrt (* a t)) (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 (* a t)) |
(* a (- (/ (pow z 2) a) t)) |
(* a (- (/ (pow z 2) a) t)) |
(* a (- (/ (pow z 2) a) t)) |
(* (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)))))) (* (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 (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 (* (sqrt (* a t)) (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 t)) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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 |
(+ 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)))))))) |
(pow z 2) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(* (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)))) (* (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)))))))) |
(* (sqrt (* a t)) (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 (* a t)) |
(* t (- (/ (pow z 2) t) a)) |
(* t (- (/ (pow z 2) t) a)) |
(* t (- (/ (pow z 2) t) a)) |
(* (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)))))) (* (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 (* a t)) |
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) |
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) |
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) |
(* (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)))))))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* -1 (* a t)) |
(- (pow z 2) (* a t)) |
(- (pow z 2) (* a t)) |
(- (pow z 2) (* a t)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* 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))))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (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)))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* 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)))))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 (/.f64 y z) (/.f64 x z)) (*.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 (*.f64 z z) y) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 (/.f64 y z) (/.f64 x z)) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (*.f64 (*.f64 y x) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 z z) (*.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 z z) y)) (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))))))) a (*.f64 y x)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -1/8 binary64)) (*.f64 t (/.f64 t (pow.f64 z #s(literal 3 binary64)))) (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) a) (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 t t)) (pow.f64 z #s(literal 3 binary64)))) a (*.f64 (/.f64 t z) #s(literal -1/2 binary64))) a z) |
(pow z 2) |
(*.f64 z z) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(* (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 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)))))) |
(fma.f64 (*.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))))) #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 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (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)))))) (*.f64 (*.f64 z (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(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 t a)))) (*.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))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 t a)) (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 (*.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t)))) #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 (*.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t)))) #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 (*.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) t)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 #s(literal -1 binary64)))))) a) |
(* -1 (* a t)) |
(*.f64 (neg.f64 a) t) |
(* a (- (/ (pow z 2) a) t)) |
(*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a) |
(* a (- (/ (pow z 2) a) t)) |
(*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a) |
(* a (- (/ (pow z 2) a) t)) |
(*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a) |
(* (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 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)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (pow.f64 z #s(literal 3 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 z (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (pow.f64 z #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 z (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 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) (*.f64 (*.f64 (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64)))) (*.f64 y x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 5 binary64))))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x) (pow.f64 z #s(literal 3 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 z (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 t a))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #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))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.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))))) #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)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 6 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64))))) #s(literal 1/16 binary64) (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))))))) |
(* -1 (* a t)) |
(*.f64 (neg.f64 a) t) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a) |
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* 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)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) t) x) (*.f64 (*.f64 (*.f64 z z) y) (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 a (*.f64 y x)) z))) t (*.f64 y x)) |
(+ (* 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)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 y z) (/.f64 x z)) (*.f64 (*.f64 #s(literal -1/2 binary64) t) (fma.f64 (*.f64 (*.f64 t x) (*.f64 (*.f64 z z) y)) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 a (/.f64 a (pow.f64 z #s(literal 6 binary64)))) (/.f64 #s(literal -3/4 binary64) (*.f64 z z))) (/.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 z z) y) x) (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))))))) t (*.f64 y x)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/8 binary64)) (*.f64 a (/.f64 a (pow.f64 z #s(literal 3 binary64)))) (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 t (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z) |
(pow z 2) |
(*.f64 z z) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(* (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 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)))))) |
(fma.f64 (*.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))))) #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 t a))))) |
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(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) t) t) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 t a) z) z) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) |
(* 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))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 t a) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) t) t) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 4 binary64))))) z z) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t a) z) z)) z) z) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t a) z) z)) z) z) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t a) z) z)) z) z) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(fma.f64 (neg.f64 y) x (*.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z))) |
(+ (* -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))))) |
(fma.f64 (neg.f64 y) x (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 (*.f64 a a) t) t)) y) x) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 4 binary64))))) |
(+ (* -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)))))) |
(fma.f64 (neg.f64 y) x (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 (*.f64 a a) t) t)) (/.f64 y (pow.f64 z #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 t a) #s(literal 3 binary64)) #s(literal -3/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 y (pow.f64 z #s(literal 6 binary64)))))) #s(literal 1/2 binary64)))) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (/.f64 (*.f64 t a) z) z) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) t) t) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 t a) z) z) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(* -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)))))))) |
(neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 t a) z) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) t) t) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 4 binary64))))) z z)) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t a) z) z)) z) z) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t a) z) z)) z) z) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t a) z) z)) z) z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
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(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
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(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
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(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
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(*.f64 (*.f64 z y) x) |
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(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.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 |
| 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 |
|---|
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Compiled 16 321 to 1 854 computations (88.6% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 556 | 13 | 569 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 557 | 13 | 570 |
| Status | Accuracy | Program |
|---|---|---|
| 60.5% | (/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| 56.1% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a)))) | |
| 37.4% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) | |
| 42.4% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| ▶ | 67.9% | (/.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))) |
| ▶ | 17.9% | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
| 63.5% | (*.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))))) | |
| ▶ | 63.5% | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
| 67.2% | (*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) | |
| ▶ | 67.1% | (*.f64 (*.f64 (neg.f64 x) y) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) |
| 62.9% | (*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) | |
| 62.9% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) | |
| ▶ | 72.0% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
Compiled 352 to 320 computations (9.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) y) | |
| cost-diff | 192 | (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) | |
| cost-diff | 256 | (*.f64 (*.f64 (neg.f64 x) y) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) | |
| 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 | #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))) | |
| cost-diff | 0 | #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 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))) (neg.f64 z))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 257 |
| 0 | 59 | 254 |
| 1 | 113 | 253 |
| 2 | 223 | 253 |
| 3 | 499 | 253 |
| 4 | 966 | 253 |
| 5 | 1409 | 253 |
| 6 | 2365 | 253 |
| 7 | 4535 | 253 |
| 8 | 5230 | 253 |
| 9 | 5652 | 253 |
| 10 | 5836 | 253 |
| 11 | 5881 | 253 |
| 12 | 6408 | 253 |
| 13 | 6612 | 253 |
| 14 | 6612 | 253 |
| 15 | 6612 | 253 |
| 16 | 6612 | 253 |
| 17 | 6724 | 253 |
| 18 | 7088 | 253 |
| 19 | 7142 | 253 |
| 20 | 7144 | 253 |
| 21 | 7158 | 253 |
| 22 | 7170 | 253 |
| 23 | 7170 | 253 |
| 24 | 7274 | 253 |
| 25 | 7978 | 253 |
| 0 | 7978 | 253 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
x |
y |
z |
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) |
(neg.f64 z) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(*.f64 (*.f64 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 |
(*.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 (neg.f64 x) y) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
z |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
#s(literal -1 binary64) |
(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) |
| Outputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 y x) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 x y) z) |
(*.f64 (*.f64 y x) z) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
z |
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) |
(neg.f64 z) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(/.f64 (*.f64 (*.f64 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 x y) z) |
(*.f64 (*.f64 y x) z) |
(*.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 |
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) |
(/.f64 (*.f64 (*.f64 y x) z) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 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 (neg.f64 x) y) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) |
(/.f64 (*.f64 (*.f64 y x) z) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(/.f64 (neg.f64 z) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
z |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
#s(literal -1 binary64) |
(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) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08203125 | (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| accuracy | 0.171875 | (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) | |
| accuracy | 3.3679105374365443 | (*.f64 (*.f64 (neg.f64 x) y) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) | |
| accuracy | 23.30634821870225 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| accuracy | 0.0078125 | (fma.f64 (neg.f64 a) t (*.f64 z z)) | |
| accuracy | 4.326165990252292 | (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| accuracy | 8.645991064126248 | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) | |
| accuracy | 23.30634821870225 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| accuracy | 1.42229278058588 | (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) | |
| accuracy | 6.851524516270427 | (*.f64 (*.f64 x y) z) | |
| accuracy | 8.276403749804032 | (/.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 | 20.842905642669464 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 6.851524516270427 | (*.f64 (*.f64 x y) z) | |
| accuracy | 8.276403749804032 | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| accuracy | 63.1880998082586 | #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 17.92141862480145 | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
| 136.0ms | 256× | 0 | valid |
Compiled 241 to 33 computations (86.3% saved)
ival-neg: 36.0ms (36.5% of total)ival-mult: 28.0ms (28.4% of total)ival-sqrt: 24.0ms (24.4% of total)ival-div: 6.0ms (6.1% of total)ival-add: 2.0ms (2% 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 |
|---|
#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) (patch (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 x) y) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) (patch (*.f64 (*.f64 (neg.f64 x) y) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) (patch (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 a) t (*.f64 z z)) (patch (fma.f64 (neg.f64 a) t (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 a) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)) (taylor 0 a) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)) (taylor 0 a) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 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)) (taylor 0 a) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
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#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) (patch #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) (patch (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) (patch (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) (patch (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) (patch (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) #<representation binary64>) () ())) ()) |
#s(alt (* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 (*.f64 y x) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) y) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) (patch (*.f64 (*.f64 (neg.f64 x) y) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) y) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) (patch (*.f64 (*.f64 (neg.f64 x) y) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) y) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) (patch (*.f64 (*.f64 (neg.f64 x) y) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) y) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) (patch (*.f64 (*.f64 (neg.f64 x) y) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | x | @ | 0 | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* y x) (/ (* (* 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)))) (sqrt (- (* z z) (* t a))) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (* (neg x) y) (* z (/ -1 (sqrt (+ (* (neg a) t) (* z z)))))) (* z (/ -1 (sqrt (+ (* (neg a) t) (* z z))))) (* (neg x) y) (neg x) (neg z) (+ (* (* -1/2 t) (/ a z)) z) (+ (* (neg a) t) (* z z)) (/ -1 (sqrt (+ (* (neg a) t) (* z z))))) |
| 11.0ms | z | @ | inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* y x) (/ (* (* 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)))) (sqrt (- (* z z) (* t a))) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (* (neg x) y) (* z (/ -1 (sqrt (+ (* (neg a) t) (* z z)))))) (* z (/ -1 (sqrt (+ (* (neg a) t) (* z z))))) (* (neg x) y) (neg x) (neg z) (+ (* (* -1/2 t) (/ a z)) z) (+ (* (neg a) t) (* z z)) (/ -1 (sqrt (+ (* (neg a) t) (* z z))))) |
| 6.0ms | t | @ | inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* y x) (/ (* (* 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)))) (sqrt (- (* z z) (* t a))) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (* (neg x) y) (* z (/ -1 (sqrt (+ (* (neg a) t) (* z z)))))) (* z (/ -1 (sqrt (+ (* (neg a) t) (* z z))))) (* (neg x) y) (neg x) (neg z) (+ (* (* -1/2 t) (/ a z)) z) (+ (* (neg a) t) (* z z)) (/ -1 (sqrt (+ (* (neg a) t) (* z z))))) |
| 6.0ms | t | @ | -inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* y x) (/ (* (* 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)))) (sqrt (- (* z z) (* t a))) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (* (neg x) y) (* z (/ -1 (sqrt (+ (* (neg a) t) (* z z)))))) (* z (/ -1 (sqrt (+ (* (neg a) t) (* z z))))) (* (neg x) y) (neg x) (neg z) (+ (* (* -1/2 t) (/ a z)) z) (+ (* (neg a) t) (* z z)) (/ -1 (sqrt (+ (* (neg a) t) (* z z))))) |
| 4.0ms | a | @ | inf | ((/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* y x) (/ (* (* 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)))) (sqrt (- (* z z) (* t a))) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (* (* (neg x) y) (* z (/ -1 (sqrt (+ (* (neg a) t) (* z z)))))) (* z (/ -1 (sqrt (+ (* (neg a) t) (* z z))))) (* (neg x) y) (neg x) (neg z) (+ (* (* -1/2 t) (/ a z)) z) (+ (* (neg a) t) (* z z)) (/ -1 (sqrt (+ (* (neg a) t) (* z z))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 836 | 19327 |
| 1 | 2785 | 18804 |
| 2 | 7660 | 18760 |
| 0 | 8570 | 18150 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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 |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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 |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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)) |
(/ (* x y) z) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x 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)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
-1 |
(- (* -1/2 (/ (* a t) (pow z 2))) 1) |
(- (* a (+ (* -1/2 (/ t (pow z 2))) (* 1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) 1) |
(- (* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* 1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* 1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))) 1) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(pow z 2) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(/ -1 z) |
(- (* -1/2 (/ (* a t) (pow z 3))) (/ 1 z)) |
(- (* a (+ (* -1/2 (/ t (pow z 3))) (* 1/2 (* a (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (/ 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)) |
(* (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)))) (* (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 (/ 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)))))))) |
(* (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)))) (* (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 (/ 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)))))))) |
(* (sqrt (* a t)) (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)))))) |
(* (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)))) (* (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 (/ 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)))))))) |
(* (sqrt (* a t)) (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)))))) |
(* (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)))) (* (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 (/ 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)))))))) |
(* (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))))) |
(+ (* -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 (/ 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))))))) |
(* (sqrt (* a t)) (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)))))) |
(* (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)))) (* (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 (/ 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 (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1))))) |
(+ (* -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 (* (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 (/ 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))))))) |
(* -1/2 (/ (* a t) z)) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* -1 (* a t)) |
(* a (+ (* -1 t) (/ (pow z 2) a))) |
(* a (+ (* -1 t) (/ (pow z 2) a))) |
(* a (+ (* -1 t) (/ (pow z 2) a))) |
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1))))) |
(+ (* -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 (* (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 (/ 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))) (* x (* y (* z (sqrt -1))))) |
(+ (* -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 (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))))))) |
(* (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)))))) (* (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 (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 (* (sqrt (* a t)) (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))))))) |
(* (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)))))) (* (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 (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 (* (sqrt (* a t)) (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))))))) |
(* (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)))))) (* (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 (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))))))) |
(* (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))))) |
(+ (* -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 (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 (* (sqrt (* a t)) (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))))))) |
(* (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)))))) (* (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 (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 (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1))))) |
(+ (* -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 (* (sqrt (/ 1 (* a t))) (* 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)))))) |
(* -1/2 (/ (* a t) z)) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* -1 (* a t)) |
(* -1 (* a (+ t (* -1 (/ (pow z 2) a))))) |
(* -1 (* a (+ t (* -1 (/ (pow z 2) a))))) |
(* -1 (* a (+ t (* -1 (/ (pow z 2) a))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1))))) |
(+ (* -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 (* (sqrt (/ 1 (* a t))) (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)))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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 |
(+ 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)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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 |
(+ 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)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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)) |
(/ (* x 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)) |
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)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
-1 |
(- (* -1/2 (/ (* a t) (pow z 2))) 1) |
(- (* t (+ (* -1/2 (/ a (pow z 2))) (* 1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) 1) |
(- (* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* 1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* 1/2 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))) 1) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(pow z 2) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(/ -1 z) |
(- (* -1/2 (/ (* a t) (pow z 3))) (/ 1 z)) |
(- (* t (+ (* -1/2 (/ a (pow z 3))) (* 1/2 (* t (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (/ 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)) |
(* (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)))) (* (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)))))))) |
(* (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)))) (* (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)))))))) |
(* (sqrt (* a t)) (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)))))) |
(* (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)))) (* (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)))))))) |
(* (sqrt (* a t)) (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)))))) |
(* (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)))) (* (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)))))))) |
(* (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))))) |
(+ (* -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))))))) |
(* (sqrt (* a t)) (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)))))) |
(* (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)))) (* (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 (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 3) (sqrt -1))))) |
(+ (* -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 (* (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))))))) |
(* -1/2 (/ (* a t) z)) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* -1 (* a t)) |
(* t (+ (* -1 a) (/ (pow z 2) t))) |
(* t (+ (* -1 a) (/ (pow z 2) t))) |
(* t (+ (* -1 a) (/ (pow z 2) t))) |
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1))))) |
(+ (* -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 (* (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))) (* x (* y (* z (sqrt -1))))) |
(+ (* -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))))))) |
(* (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)))))) (* (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))))))) |
(* (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)))))) (* (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))))))) |
(* (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)))))) (* (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))))))) |
(* (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))))) |
(+ (* -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 (* (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))))))) |
(* (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)))))) (* (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 (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 3) (sqrt -1))))) |
(+ (* -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 (* (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)))))) |
(* -1/2 (/ (* a t) z)) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* -1 (* a t)) |
(* -1 (* t (+ a (* -1 (/ (pow z 2) t))))) |
(* -1 (* t (+ a (* -1 (/ (pow z 2) t))))) |
(* -1 (* t (+ a (* -1 (/ (pow z 2) t))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1))))) |
(+ (* -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 (* (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))) (* 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))) (* 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)))))))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* 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))) (* 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))) (* 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))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(* z (+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1)))))) |
(* z (+ (* -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)))))))) |
(* z (+ (* -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) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1/2 (/ (* a t) z)) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(* -1 (* a t)) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1))))) |
(+ (* -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))))))) |
(+ (* -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))))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* 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))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
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))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(/ (* 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))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
-1 |
(- (* -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 z) |
(* -1 z) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(/ -1 z) |
(/ (- (* -1/2 (/ (* a t) (pow z 2))) 1) z) |
(/ (- (+ (* -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) z) |
(/ (- (+ (* -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) z) |
(* -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 (* 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)))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* 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)))))))) |
(* -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)))))))) |
(* -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 (/ (* 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)))))))) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
1 |
(+ 1 (* 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 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
z |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(/ 1 z) |
(* -1 (/ (- (* -1/2 (/ (* a t) (pow z 2))) 1) z)) |
(* -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) z)) |
(* -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) z)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (/.f64 #s(literal 1/2 binary64) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
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(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (/.f64 #s(literal 1/2 binary64) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (/.f64 t z) z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z))) a (*.f64 y x)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 a (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 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 (pow.f64 t #s(literal 3 binary64)) (/.f64 a (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/16 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) |
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (/.f64 #s(literal 1/2 binary64) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (/.f64 t z) z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z))) a (*.f64 y x)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 a (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 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 (pow.f64 t #s(literal 3 binary64)) (/.f64 a (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/16 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) |
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (/.f64 #s(literal 1/2 binary64) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (/.f64 t z) z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z))) a (*.f64 y x)) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z)) |
(fma.f64 (*.f64 (*.f64 t (*.f64 y x)) (/.f64 a (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 y x) 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)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 (*.f64 z y) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) x) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) a (/.f64 (*.f64 y x) 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)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 z y) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (/.f64 t z) z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 (*.f64 z y) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) x))) a (/.f64 (*.f64 (*.f64 t (*.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) a (/.f64 (*.f64 y x) z)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 t t) (/.f64 a (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 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 (pow.f64 t #s(literal 3 binary64)) (/.f64 a (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/16 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) |
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (/.f64 #s(literal 1/2 binary64) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (/.f64 t z) z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z))) a (*.f64 y x)) |
-1 |
#s(literal -1 binary64) |
(- (* -1/2 (/ (* a t) (pow z 2))) 1) |
(fma.f64 (/.f64 (/.f64 (*.f64 t a) z) z) #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(- (* a (+ (* -1/2 (/ t (pow z 2))) (* 1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) 1) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 t z) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z)))) a #s(literal -1 binary64)) |
(- (* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* 1/2 (* a (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))) (* 1/2 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))) 1) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a (*.f64 z z)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (/.f64 t z) z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z)))) a (*.f64 (/.f64 (/.f64 t z) z) #s(literal -1/2 binary64))) a #s(literal -1 binary64)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z) |
(pow z 2) |
(*.f64 z z) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(- (* -1/2 (/ (* a t) (pow z 3))) (/ 1 z)) |
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 t a) z) z) #s(literal -1/2 binary64) #s(literal -1 binary64)) z) |
(- (* a (+ (* -1/2 (/ t (pow z 3))) (* 1/2 (* a (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (/ 1 z)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a z) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (/.f64 #s(literal -1 binary64) 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)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a z) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (/.f64 t z) z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) z))) a (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (/.f64 #s(literal -1 binary64) 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 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)))))) |
(fma.f64 (*.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))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) |
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(* (sqrt (* a t)) (sqrt -1)) |
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(* -1/2 (/ (* a t) z)) |
(*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 t z) #s(literal 1/2 binary64) (/.f64 (neg.f64 z) a))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 t z) #s(literal 1/2 binary64) (/.f64 (neg.f64 z) a))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 t z) #s(literal 1/2 binary64) (/.f64 (neg.f64 z) a))) |
(* -1 (* a t)) |
(*.f64 (neg.f64 a) t) |
(* -1 (* a (+ t (* -1 (/ (pow z 2) a))))) |
(*.f64 (neg.f64 a) (-.f64 t (*.f64 z (/.f64 z a)))) |
(* -1 (* a (+ t (* -1 (/ (pow z 2) a))))) |
(*.f64 (neg.f64 a) (-.f64 t (*.f64 z (/.f64 z a)))) |
(* -1 (* a (+ t (* -1 (/ (pow z 2) a))))) |
(*.f64 (neg.f64 a) (-.f64 t (*.f64 z (/.f64 z a)))) |
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))) |
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(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (/.f64 #s(literal 1/2 binary64) z) (*.f64 y x)) |
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(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (/.f64 #s(literal 1/2 binary64) z) (*.f64 y x)) |
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z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 t (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z) |
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (/.f64 #s(literal 1/2 binary64) z) (*.f64 y x)) |
(+ (* 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)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 y x)) z) (/.f64 #s(literal 1/2 binary64) z) (*.f64 (*.f64 #s(literal -1/2 binary64) t) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) t (*.f64 y x)) |
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z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 t (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z) |
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (/.f64 #s(literal 1/2 binary64) z) (*.f64 y x)) |
(+ (* 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)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 y x)) z) (/.f64 #s(literal 1/2 binary64) z) (*.f64 (*.f64 #s(literal -1/2 binary64) t) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) t (*.f64 y x)) |
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(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z)) |
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z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
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(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
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(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (/.f64 #s(literal 1/2 binary64) z) (*.f64 y x)) |
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(+ (* 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)) |
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-1 |
#s(literal -1 binary64) |
(- (* -1/2 (/ (* a t) (pow z 2))) 1) |
(fma.f64 (/.f64 (/.f64 (*.f64 t a) z) z) #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(- (* t (+ (* -1/2 (/ a (pow z 2))) (* 1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) 1) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 a z) (*.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z)))) t #s(literal -1 binary64)) |
(- (* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* 1/2 (* t (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))) (* 1/2 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))) 1) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 t (*.f64 z z)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (/.f64 a z) z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z)))) t (*.f64 (/.f64 (/.f64 a z) z) #s(literal -1/2 binary64))) t #s(literal -1 binary64)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 t z) z) |
(pow z 2) |
(*.f64 z z) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(- (* -1/2 (/ (* a t) (pow z 3))) (/ 1 z)) |
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 t a) z) z) #s(literal -1/2 binary64) #s(literal -1 binary64)) z) |
(- (* t (+ (* -1/2 (/ a (pow z 3))) (* 1/2 (* t (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (/ 1 z)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 t z) (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 a (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) t (/.f64 #s(literal -1 binary64) 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)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 t z) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (/.f64 a z) z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) z))) t (*.f64 (/.f64 a (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) t (/.f64 #s(literal -1 binary64) 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 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)))))) |
(fma.f64 (*.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))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (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)))))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 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)))))))) |
(fma.f64 (*.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))))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.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)))) (*.f64 (*.f64 (*.f64 (*.f64 z y) (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 t (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 a #s(literal 4 binary64))))) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 7 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))))) |
(* (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 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)))))) |
(fma.f64 (*.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))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (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)))))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 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)))))))) |
(fma.f64 (*.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))))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.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)))) (*.f64 (*.f64 (*.f64 (*.f64 z y) (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 t (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 a #s(literal 4 binary64))))) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 7 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 t a)) (sqrt.f64 #s(literal -1 binary64))) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) a))) (*.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) t) |
(* 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))))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) a))) (*.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))) t) |
(* 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)))))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) a))) (*.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))))) t) |
(* (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 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)))))) |
(fma.f64 (*.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))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (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)))))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 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)))))))) |
(fma.f64 (*.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))))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.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)))) (*.f64 (*.f64 (*.f64 (*.f64 z y) (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 t (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 a #s(literal 4 binary64))))) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 7 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 t a)) (sqrt.f64 #s(literal -1 binary64))) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) a))) (*.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))) t) |
(* 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))))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) a))) (*.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64))))) t) |
(* 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)))))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) a))) (*.f64 z (/.f64 z (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a t)) (sqrt.f64 #s(literal -1 binary64)))))) t) |
(* (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 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)))))) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
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(* t (+ (* -1/2 (/ a z)) (/ z t))) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
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(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 193 |
| 0 | 59 | 190 |
| 1 | 195 | 189 |
| 2 | 1028 | 189 |
| 0 | 8887 | 189 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 y x) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 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(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a 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)))) |
(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 z (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
(neg.f64 z) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
| Outputs |
|---|
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Compiled 45 114 to 3 502 computations (92.2% saved)
22 alts after pruning (20 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 831 | 15 | 1 846 |
| Fresh | 3 | 5 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 837 | 22 | 1 859 |
| Status | Accuracy | Program |
|---|---|---|
| 60.5% | (/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| 18.9% | (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| 56.1% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a)))) | |
| 37.4% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) | |
| 42.4% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| ✓ | 67.9% | (/.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))) |
| ▶ | 26.2% | (/.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)))) |
| ▶ | 78.1% | (/.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)) |
| 37.1% | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) z) | |
| ▶ | 62.9% | (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) |
| 77.4% | (*.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) | |
| 60.5% | (*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) z) | |
| ▶ | 17.9% | (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
| 71.9% | (*.f64 (*.f64 (neg.f64 x) y) (*.f64 z #s(approx (/ -1 (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal -1 binary64) z)))) | |
| 63.4% | (*.f64 (*.f64 x (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) z) | |
| 67.9% | (*.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))))) | |
| ▶ | 61.7% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) |
| 14.2% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 y z))) z) | |
| 73.3% | (*.f64 y (*.f64 (*.f64 (neg.f64 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))))) | |
| 65.0% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 (*.f64 y x) z))) #s(literal -1 binary64))) | |
| 62.9% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) | |
| ✓ | 72.0% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
Compiled 567 to 530 computations (6.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (neg.f64 a) t (*.f64 z z)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| cost-diff | 0 | (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| cost-diff | 0 | (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) | |
| cost-diff | 0 | #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 x) y) z) | |
| cost-diff | 448 | (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 (*.f64 y x) z) | |
| cost-diff | 0 | #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) | |
| cost-diff | 0 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) | |
| cost-diff | 0 | (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 384 | (/.f64 (*.f64 y x) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 349 |
| 0 | 79 | 346 |
| 1 | 145 | 345 |
| 2 | 259 | 345 |
| 3 | 537 | 343 |
| 4 | 1003 | 343 |
| 5 | 1513 | 343 |
| 6 | 3092 | 343 |
| 7 | 5257 | 343 |
| 8 | 6231 | 343 |
| 9 | 6556 | 343 |
| 10 | 6666 | 343 |
| 11 | 6730 | 343 |
| 12 | 7104 | 343 |
| 13 | 7227 | 343 |
| 14 | 7231 | 343 |
| 15 | 7231 | 343 |
| 16 | 7231 | 343 |
| 17 | 7995 | 343 |
| 0 | 8331 | 343 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) |
(*.f64 y x) |
y |
x |
(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(/.f64 a z) |
a |
z |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) |
#s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 y x) |
y |
x |
z |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 (*.f64 (neg.f64 x) y) z) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
z |
(/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
#s(literal -1 binary64) |
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) |
(neg.f64 z) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
x |
y |
z |
#s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))) |
#s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) |
(*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) |
(*.f64 (/.f64 a z) #s(literal -1/2 binary64)) |
(/.f64 a z) |
a |
#s(literal -1/2 binary64) |
t |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) |
(/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
x |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(neg.f64 a) |
a |
t |
(*.f64 z z) |
z |
(*.f64 z y) |
y |
| Outputs |
|---|
(/.f64 (*.f64 y x) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) |
(/.f64 (*.f64 z (*.f64 x y)) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) |
(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) z) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(/.f64 a z) |
a |
z |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 x y) z)) z) |
#s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) |
#s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 x y) z)) |
(/.f64 (*.f64 y x) z) |
(/.f64 (*.f64 x y) z) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
z |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(/.f64 (*.f64 z (*.f64 x y)) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 (*.f64 (neg.f64 x) y) z) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
z |
(/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
#s(literal -1 binary64) |
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) |
(neg.f64 z) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(/.f64 (*.f64 z (*.f64 x y)) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 z (*.f64 x y)) |
(*.f64 x y) |
x |
y |
z |
#s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))) |
#s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t))) |
#s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) |
#s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)) |
(*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t) |
(*.f64 (/.f64 a z) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 a z)) |
(/.f64 a z) |
a |
#s(literal -1/2 binary64) |
t |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) |
(/.f64 (*.f64 z (*.f64 x y)) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
x |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(neg.f64 a) |
a |
t |
(*.f64 z z) |
z |
(*.f64 z y) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (fma.f64 (neg.f64 a) t (*.f64 z z)) | |
| accuracy | 0.0703125 | (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) | |
| accuracy | 16.316355924921595 | (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) | |
| accuracy | 23.30634821870225 | (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) | |
| accuracy | 6.851524516270427 | (*.f64 (*.f64 x y) z) | |
| accuracy | 8.276403749804032 | (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) | |
| accuracy | 20.842905642669464 | #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))) | |
| accuracy | 41.02679874640333 | #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) | |
| accuracy | 0.08203125 | (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| accuracy | 6.851524516270427 | (*.f64 (*.f64 (neg.f64 x) y) z) | |
| accuracy | 8.338903749804032 | (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) | |
| accuracy | 63.1880998082586 | #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 4.12105282677496 | (/.f64 (*.f64 y x) z) | |
| accuracy | 8.645991064126248 | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) | |
| accuracy | 17.180571806753846 | #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) | |
| accuracy | 0.08984375 | (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) | |
| accuracy | 1.42229278058588 | (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) | |
| accuracy | 3.3640042874365443 | (/.f64 (*.f64 y x) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) | |
| accuracy | 20.842905642669464 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
| 110.0ms | 256× | 0 | valid |
Compiled 266 to 43 computations (83.8% saved)
ival-mult: 25.0ms (39.8% of total)ival-div: 16.0ms (25.5% of total)ival-add: 12.0ms (19.1% of total)ival-sqrt: 4.0ms (6.4% of total)ival-neg: 3.0ms (4.8% of total)ival-sub: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) (patch (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) (patch (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) (patch #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 x) y) z) (patch (*.f64 (*.f64 (neg.f64 x) y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) (patch (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 a) t (*.f64 z z)) (patch (fma.f64 (neg.f64 a) t (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) (patch (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) (patch (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) (patch #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)) (taylor 0 a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)) (taylor 0 a) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 a) (#s(alt (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) (patch (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (/ (* a t) (pow z 2)))) (taylor 0 a) (#s(alt (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) (patch (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ (* -1/2 (/ t (pow z 2))) (* -1/8 (/ (* a (pow t 2)) (pow z 4)))))) (taylor 0 a) (#s(alt (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) (patch (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/8 (/ (pow t 2) (pow z 4))) (* -1/16 (/ (* a (pow t 3)) (pow z 6)))))))) (taylor 0 a) (#s(alt (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) (patch (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1/2 (/ (* a t) z))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) (taylor 0 a) (#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 a) (#s(alt (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) (patch (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) (patch (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)) (taylor 0 a) (#s(alt (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) (patch (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)) (taylor 0 a) (#s(alt (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) (patch (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 a) (#s(alt #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) (patch #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z)) (taylor 0 a) (#s(alt #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) (patch #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)) (taylor 0 a) (#s(alt #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) (patch #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)) (taylor 0 a) (#s(alt #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) (patch #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 a) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)) (taylor 0 a) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 a) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)) (taylor 0 a) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)) (taylor 0 a) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 a) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ()) |
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#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) (patch (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) (patch (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) (patch (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) (patch #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) (patch #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) (patch #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) (patch #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) y) z) (patch (*.f64 (*.f64 (neg.f64 x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) y) z) (patch (*.f64 (*.f64 (neg.f64 x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) y) z) (patch (*.f64 (*.f64 (neg.f64 x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) y) z) (patch (*.f64 (*.f64 (neg.f64 x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) (patch (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) (patch (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) (patch (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) (patch (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) (taylor -inf x) (#s(alt (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (patch (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (* y x) (/ (sqrt (- (* z z) (* t a))) z) (sqrt (- (* z z) (* t a))) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/ (* y x) z) (* (* (* (neg x) y) z) (/ -1 (sqrt (- (* z z) (* t a))))) (* (* (neg x) y) z) (* (neg x) y) (neg x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* z y)) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (+ (* (neg a) t) (* z z)) (+ (* (/ a z) (* -1/2 t)) z) (sqrt (- (* z z) (* t a))) (/ -1 (sqrt (- (* z z) (* t a)))) (+ (* (* -1/2 t) (/ a z)) z)) |
| 7.0ms | a | @ | 0 | ((/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (* y x) (/ (sqrt (- (* z z) (* t a))) z) (sqrt (- (* z z) (* t a))) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/ (* y x) z) (* (* (* (neg x) y) z) (/ -1 (sqrt (- (* z z) (* t a))))) (* (* (neg x) y) z) (* (neg x) y) (neg x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* z y)) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (+ (* (neg a) t) (* z z)) (+ (* (/ a z) (* -1/2 t)) z) (sqrt (- (* z z) (* t a))) (/ -1 (sqrt (- (* z z) (* t a)))) (+ (* (* -1/2 t) (/ a z)) z)) |
| 6.0ms | z | @ | -inf | ((/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (* y x) (/ (sqrt (- (* z z) (* t a))) z) (sqrt (- (* z z) (* t a))) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/ (* y x) z) (* (* (* (neg x) y) z) (/ -1 (sqrt (- (* z z) (* t a))))) (* (* (neg x) y) z) (* (neg x) y) (neg x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* z y)) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (+ (* (neg a) t) (* z z)) (+ (* (/ a z) (* -1/2 t)) z) (sqrt (- (* z z) (* t a))) (/ -1 (sqrt (- (* z z) (* t a)))) (+ (* (* -1/2 t) (/ a z)) z)) |
| 4.0ms | x | @ | -inf | ((/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (* y x) (/ (sqrt (- (* z z) (* t a))) z) (sqrt (- (* z z) (* t a))) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/ (* y x) z) (* (* (* (neg x) y) z) (/ -1 (sqrt (- (* z z) (* t a))))) (* (* (neg x) y) z) (* (neg x) y) (neg x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* z y)) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (+ (* (neg a) t) (* z z)) (+ (* (/ a z) (* -1/2 t)) z) (sqrt (- (* z z) (* t a))) (/ -1 (sqrt (- (* z z) (* t a)))) (+ (* (* -1/2 t) (/ a z)) z)) |
| 3.0ms | z | @ | 0 | ((/ (* y x) (/ (sqrt (- (* z z) (* t a))) z)) (* y x) (/ (sqrt (- (* z z) (* t a))) z) (sqrt (- (* z z) (* t a))) (* (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) z) (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/ (* y x) z) (* (* (* (neg x) y) z) (/ -1 (sqrt (- (* z z) (* t a))))) (* (* (neg x) y) z) (* (neg x) y) (neg x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* z y)) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (sqrt (+ (* (neg a) t) (* z z))) (+ (* (neg a) t) (* z z)) (+ (* (/ a z) (* -1/2 t)) z) (sqrt (- (* z z) (* t a))) (/ -1 (sqrt (- (* z z) (* t a)))) (+ (* (* -1/2 t) (/ a z)) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 996 | 22432 |
| 1 | 3331 | 21906 |
| 0 | 8557 | 21183 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
1 |
(+ 1 (* -1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (* a (+ (* -1/2 (/ t (pow z 2))) (* -1/8 (/ (* a (pow t 2)) (pow z 4)))))) |
(+ 1 (* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/8 (/ (pow t 2) (pow z 4))) (* -1/16 (/ (* a (pow t 3)) (pow z 6)))))))) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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)) |
(/ (* x y) z) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x 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 y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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 |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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)) |
(/ x z) |
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z)) |
(+ (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 3))))) (/ x z)) |
(+ (* a (+ (* 1/2 (/ (* t x) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ x z)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(pow z 2) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(/ -1 z) |
(- (* -1/2 (/ (* a t) (pow z 3))) (/ 1 z)) |
(- (* a (+ (* -1/2 (/ t (pow z 3))) (* 1/2 (* a (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (/ 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)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(* (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)))) (* (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 (/ 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)))))))) |
(* (sqrt (* a t)) (/ (sqrt -1) z)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 5) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z)))))) |
(* (sqrt (* a t)) (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)))))) |
(* (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)))) (* (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 (/ 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)))))))) |
(* (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))))) |
(+ (* -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 (/ 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))))))) |
(* (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)))) (* (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 (/ 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)))))))) |
(* (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)))) (* (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 (/ 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)))))))) |
(* (sqrt (* a t)) (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)))))) |
(* (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)))) (* (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 (/ 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)))))))) |
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))) |
(* (sqrt (* a t)) (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 (* a t)) |
(* a (+ (* -1 t) (/ (pow z 2) a))) |
(* a (+ (* -1 t) (/ (pow z 2) a))) |
(* a (+ (* -1 t) (/ (pow z 2) a))) |
(* -1/2 (/ (* a t) z)) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* (sqrt (* a t)) (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 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1))))) |
(+ (* -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 (* (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 (/ 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))))))) |
(* -1/2 (/ (* a t) z)) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* (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)))))) (* (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 (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 (* (sqrt (* a t)) (/ (sqrt -1) z))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z))))))) |
(* -1 (* (sqrt (* a t)) (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))))))) |
(* (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)))))) (* (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 (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))))))) |
(* (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))))) |
(+ (* -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 (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)))))) |
(* (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)))))) (* (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 (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))))))) |
(* (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)))))) (* (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 (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 (* (sqrt (* a t)) (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))))))) |
(* (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)))))) (* (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 (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))))))) |
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 4) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(* -1 (* (sqrt (* a t)) (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 t)) |
(* -1 (* a (+ t (* -1 (/ (pow z 2) a))))) |
(* -1 (* a (+ t (* -1 (/ (pow z 2) a))))) |
(* -1 (* a (+ t (* -1 (/ (pow z 2) a))))) |
(* -1/2 (/ (* a t) z)) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* -1 (* (sqrt (* a t)) (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 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1))))) |
(+ (* -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 (* (sqrt (/ 1 (* a t))) (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)))))) |
(* -1/2 (/ (* a t) z)) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
1 |
(+ 1 (* -1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (* t (+ (* -1/2 (/ a (pow z 2))) (* -1/8 (/ (* (pow a 2) t) (pow z 4)))))) |
(+ 1 (* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/8 (/ (pow a 2) (pow z 4))) (* -1/16 (/ (* (pow a 3) t) (pow z 6)))))))) |
z |
(+ 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)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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)) |
(/ (* x 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 y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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 |
(+ 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)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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)) |
(/ x z) |
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z)) |
(+ (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 3))))) (/ x z)) |
(+ (* t (+ (* 1/2 (/ (* a x) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) (/ x z)) |
z |
(+ 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)))))))) |
(pow z 2) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
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)))))))) |
(/ -1 z) |
(- (* -1/2 (/ (* a t) (pow z 3))) (/ 1 z)) |
(- (* t (+ (* -1/2 (/ a (pow z 3))) (* 1/2 (* t (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (/ 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)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(* (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)))) (* (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)))))))) |
(* (sqrt (* a t)) (/ (sqrt -1) z)) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z)))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z))))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 5) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z)))))) |
(* (sqrt (* a t)) (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)))))) |
(* (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)))) (* (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)))))))) |
(* (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))))) |
(+ (* -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))))))) |
(* (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)))) (* (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)))))))) |
(* (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)))) (* (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)))))))) |
(* (sqrt (* a t)) (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)))))) |
(* (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)))) (* (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)))))))) |
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))) |
(* (sqrt (* a t)) (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 (* a t)) |
(* t (+ (* -1 a) (/ (pow z 2) t))) |
(* t (+ (* -1 a) (/ (pow z 2) t))) |
(* t (+ (* -1 a) (/ (pow z 2) t))) |
(* -1/2 (/ (* a t) z)) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* (sqrt (* a t)) (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 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1))))) |
(+ (* -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 (* (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))))))) |
(* -1/2 (/ (* a t) z)) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* (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)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (* (sqrt (* a t)) (/ (sqrt -1) z))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z))))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(* (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)))))) (* (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))))))) |
(* (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))))) |
(+ (* -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)))))) |
(* (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)))))) (* (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))))))) |
(* (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)))))) (* (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))))))) |
(* (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)))))) (* (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))))))) |
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* (pow z 4) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(* -1 (* a t)) |
(* -1 (* t (+ a (* -1 (/ (pow z 2) t))))) |
(* -1 (* t (+ a (* -1 (/ (pow z 2) t))))) |
(* -1 (* t (+ a (* -1 (/ (pow z 2) t))))) |
(* -1/2 (/ (* a t) z)) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* -1 (* (sqrt (* a t)) (sqrt -1))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1))))) |
(+ (* -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 (* (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)))))) |
(* -1/2 (/ (* a t) z)) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* (sqrt (* a t)) (/ (sqrt -1) z)) |
(/ (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) z) |
(/ (+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) z) |
(/ (+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) z) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* 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))) (* 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))))))))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* 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))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1))))))) |
(+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1))))))))) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* -1 (* a t)) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(* -1/2 (/ (* a t) z)) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1))))) |
(+ (* -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))))))) |
(+ (* -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))))))))) |
(* -1/2 (/ (* a t) z)) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
1 |
(+ 1 (* -1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))) |
(+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(/ (* 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 y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* 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))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(/ x z) |
(/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z) |
(/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) z) |
(/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) z) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))) |
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (* -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 z) |
(/ (- (* -1/2 (/ (* a t) (pow z 2))) 1) z) |
(/ (- (+ (* -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) z) |
(/ (- (+ (* -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) z) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (* -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 |
(- (* 1/2 (/ (* a t) (pow z 2))) 1) |
(- (+ (* 1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2)))) 1) |
(- (+ (* 1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))) (+ (* 1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) 1) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(* -1 (* x y)) |
(+ (* -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 (/ (* 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)) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -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 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -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)))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* 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)))))))) |
(* -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 (/ x z)) |
(* -1 (/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z)) |
(* -1 (/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) z)) |
(* -1 (/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) z)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
z |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(/ 1 z) |
(* -1 (/ (- (* -1/2 (/ (* a t) (pow z 2))) 1) z)) |
(* -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) z)) |
(* -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) z)) |
z |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 t (/.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z))) a (*.f64 y x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (* a t) (pow z 2)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 t a) z) #s(literal 1 binary64)) |
(+ 1 (* a (+ (* -1/2 (/ t (pow z 2))) (* -1/8 (/ (* a (pow t 2)) (pow z 4)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 t z) (/.f64 (*.f64 (*.f64 (*.f64 t t) a) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 4 binary64)))) a #s(literal 1 binary64)) |
(+ 1 (* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/8 (/ (pow t 2) (pow z 4))) (* -1/16 (/ (* a (pow t 3)) (pow z 6)))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 t z) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) a) (pow.f64 z #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 t t) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 4 binary64)))) a)) a #s(literal 1 binary64)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 t t) a) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/8 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 (*.f64 (pow.f64 t #s(literal 3 binary64)) a) (pow.f64 z #s(literal 5 binary64))) #s(literal -1/16 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) |
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
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(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z)) |
(fma.f64 (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 y x) 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)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 (*.f64 z y) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) x) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) a (/.f64 (*.f64 y x) 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)) |
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(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* 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)) |
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(+ (* 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)) |
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(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
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z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 t t) a) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/8 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 (*.f64 (pow.f64 t #s(literal 3 binary64)) a) (pow.f64 z #s(literal 5 binary64))) #s(literal -1/16 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) |
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 t (/.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 t (*.f64 y x)) z))) a (*.f64 y x)) |
(/ x z) |
(/.f64 x z) |
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z)) |
(fma.f64 (/.f64 (*.f64 (*.f64 t x) a) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 x z)) |
(+ (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 3))))) (/ x z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 x z) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 t x) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) a (/.f64 x z)) |
(+ (* a (+ (* 1/2 (/ (* t x) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ x z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a x) (*.f64 (fma.f64 (*.f64 t (/.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) z) (*.f64 (*.f64 x z) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))))) a (/.f64 (*.f64 (*.f64 t x) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) a (/.f64 x z)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 t t) a) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/8 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 (*.f64 (pow.f64 t #s(literal 3 binary64)) a) (pow.f64 z #s(literal 5 binary64))) #s(literal -1/16 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) |
(pow z 2) |
(*.f64 z z) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 t t) a) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/8 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 (*.f64 (pow.f64 t #s(literal 3 binary64)) a) (pow.f64 z #s(literal 5 binary64))) #s(literal -1/16 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 z) |
(/.f64 #s(literal -1 binary64) z) |
(- (* -1/2 (/ (* a t) (pow z 3))) (/ 1 z)) |
(fma.f64 (*.f64 (/.f64 a (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) t (/.f64 #s(literal -1 binary64) z)) |
(- (* a (+ (* -1/2 (/ t (pow z 3))) (* 1/2 (* a (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (/ 1 z)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a z) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (/.f64 #s(literal -1 binary64) 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)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 a z) (fma.f64 (*.f64 t (/.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) z))) a (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) a (/.f64 #s(literal -1 binary64) z)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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)))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) 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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) 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)))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 t #s(literal 5 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) 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)))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 t #s(literal 5 binary64)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))) x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 t (pow.f64 a #s(literal 7 binary64))))) (*.f64 x (/.f64 (*.f64 (*.f64 z y) (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 (* a t)) (/ (sqrt -1) z)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (*.f64 t a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z)))) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
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(+ (* 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)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 t x) (*.f64 (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 a (/.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) t (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 a (*.f64 y x)) z))) t (*.f64 y x)) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 3))) (/ (* x y) z)) |
(fma.f64 (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 y x) 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)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (*.f64 (*.f64 (*.f64 z y) (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) x) (/.f64 (*.f64 (*.f64 a (*.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 (*.f64 y x) 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)) |
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(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* 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)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 a (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) t) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) t (*.f64 y x)) |
(+ (* 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)) |
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(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* 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)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 a (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) t) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) t (*.f64 y x)) |
(+ (* 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)) |
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z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 t (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z) |
(* x y) |
(*.f64 y x) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 t (*.f64 y x)) a) z) (*.f64 y x)) |
(+ (* 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)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 a (*.f64 y x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) t) (*.f64 (*.f64 y x) (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))))) t (*.f64 y x)) |
(+ (* 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)) |
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(/ x z) |
(/.f64 x z) |
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z)) |
(fma.f64 (/.f64 (*.f64 (*.f64 t x) a) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 x z)) |
(+ (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 3))))) (/ x z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (*.f64 (*.f64 x z) (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 x z)) |
(+ (* t (+ (* 1/2 (/ (* a x) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) (/ x z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 x z) (fma.f64 (*.f64 a (/.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) t (*.f64 (*.f64 x z) (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))))) t (/.f64 (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 x z)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 t (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z) |
(pow z 2) |
(*.f64 z z) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(+ (* -1 (* a t)) (pow z 2)) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z) |
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 t (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 a a) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (*.f64 (/.f64 a z) #s(literal -1/2 binary64))) t z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(- (* -1/2 (/ (* a t) (pow z 3))) (/ 1 z)) |
(fma.f64 (*.f64 (/.f64 a (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) t (/.f64 #s(literal -1 binary64) z)) |
(- (* t (+ (* -1/2 (/ a (pow z 3))) (* 1/2 (* t (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (/ 1 z)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 t z) (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 a (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) t (/.f64 #s(literal -1 binary64) 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)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 t z) (fma.f64 (*.f64 a (/.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 z z))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) z))) t (*.f64 (/.f64 a (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) t (/.f64 #s(literal -1 binary64) z)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(+ z (* -1/2 (/ (* a t) z))) |
(fma.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t z) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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)))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) 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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) 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)))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 t #s(literal 5 binary64)))))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 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)))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) 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)))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) y) x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 t #s(literal 5 binary64)))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 7 binary64))))) (*.f64 x (/.f64 (*.f64 (*.f64 z y) (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) t) (pow.f64 a #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 a #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 t a)))))) |
(* (sqrt (* a t)) (/ (sqrt -1) z)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) z) (sqrt.f64 (*.f64 t a))) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a t)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) z) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) a))) (/.f64 z (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))) t) |
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(* (sqrt (* a t)) (sqrt -1)) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
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(* (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 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)))))) |
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(* (sqrt (* a t)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 t a)) (sqrt.f64 #s(literal -1 binary64))) |
(* 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 (+ (* -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)))))) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
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(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
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(* (sqrt (* a t)) (sqrt -1)) |
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(* -1 (* a t)) |
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(* (sqrt (* a t)) (sqrt -1)) |
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(*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
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(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(*.f64 (fma.f64 (/.f64 a z) #s(literal -1/2 binary64) (/.f64 z t)) t) |
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) |
(* (* x y) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y x)) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 z y)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x (* y z)) |
(*.f64 (*.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x)) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 291 |
| 0 | 79 | 288 |
| 1 | 245 | 287 |
| 2 | 1252 | 285 |
| 0 | 8569 | 285 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) |
(*.f64 y x) |
(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) |
#s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 (*.f64 (neg.f64 x) y) z) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
#s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t))) |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) |
(/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))) |
(fma.f64 (neg.f64 a) t (*.f64 z z)) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
#s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
#s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)) |
| Outputs |
|---|
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Compiled 39 472 to 3 491 computations (91.2% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 558 | 17 | 1 575 |
| Fresh | 7 | 8 | 15 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 569 | 28 | 1 597 |
| Status | Accuracy | Program |
|---|---|---|
| 60.5% | (/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | |
| 18.9% | (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| 56.1% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a)))) | |
| ▶ | 37.4% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
| 42.4% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| ✓ | 67.9% | (/.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))) |
| 52.8% | (/.f64 (*.f64 (neg.f64 (*.f64 x x)) y) (*.f64 x (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (neg.f64 z)))) | |
| ✓ | 78.1% | (/.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)) |
| ▶ | 78.1% | (/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) |
| 37.1% | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) z) | |
| 36.0% | (*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) | |
| 63.4% | (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z) | |
| 60.1% | (*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) | |
| ▶ | 64.9% | (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) |
| 67.9% | (*.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))))) | |
| 39.4% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) y) (*.f64 x (neg.f64 z)))) z) | |
| 51.9% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y (/.f64 z x))) z) | |
| 61.3% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) | |
| 59.7% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 y z) x)) z) | |
| 52.1% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) | |
| 61.6% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) | |
| 58.4% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 x y))) #s(literal -1 binary64)))) z) | |
| ▶ | 49.3% | (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
| 62.7% | (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x)) (*.f64 z y)) | |
| ▶ | 73.3% | (*.f64 y (*.f64 (*.f64 (neg.f64 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))))) |
| 19.6% | (*.f64 y (*.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))))) | |
| 27.6% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t))) (*.f64 z (*.f64 x y)))) #s(literal -1 binary64))) | |
| ✓ | 72.0% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
Compiled 698 to 667 computations (4.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) z) | |
| cost-diff | 0 | (*.f64 y (*.f64 (*.f64 (neg.f64 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))))) | |
| cost-diff | 448 | (*.f64 (*.f64 (neg.f64 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)))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 x) y) z) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 320 | (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) | |
| cost-diff | 384 | (/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) | |
| cost-diff | 12800 | (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 425 |
| 0 | 80 | 418 |
| 1 | 144 | 417 |
| 2 | 274 | 416 |
| 3 | 660 | 410 |
| 4 | 1293 | 408 |
| 5 | 2106 | 408 |
| 6 | 3710 | 408 |
| 7 | 5092 | 407 |
| 8 | 6180 | 407 |
| 9 | 6456 | 407 |
| 10 | 6516 | 407 |
| 11 | 6542 | 407 |
| 12 | 7196 | 407 |
| 13 | 7875 | 407 |
| 14 | 7918 | 407 |
| 15 | 7922 | 407 |
| 16 | 7922 | 407 |
| 17 | 7922 | 407 |
| 0 | 8082 | 407 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) |
(*.f64 y x) |
y |
x |
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) |
(log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
z |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(/.f64 a z) |
a |
#s(literal -1 binary64) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(*.f64 z y) |
y |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (*.f64 (neg.f64 x) y) z) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
z |
#s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
x |
y |
z |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) |
(*.f64 (neg.f64 a) t) |
(neg.f64 a) |
a |
t |
(*.f64 y (*.f64 (*.f64 (neg.f64 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))))) |
y |
(*.f64 (*.f64 (neg.f64 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 (neg.f64 x) z) |
(neg.f64 x) |
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))) |
#s(literal -1 binary64) |
#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 |
| Outputs |
|---|
(/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.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 y x) |
(*.f64 x y) |
y |
x |
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) |
(/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z) |
(*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) |
(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 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
(log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z))) |
(/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
z |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z) |
(fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
(/.f64 a z) |
a |
#s(literal -1 binary64) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 (*.f64 z y) #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z))) |
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(*.f64 z y) |
y |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (*.f64 (*.f64 (neg.f64 x) y) z)) |
(*.f64 (*.f64 (neg.f64 x) y) z) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
z |
#s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
x |
y |
z |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) |
(*.f64 (neg.f64 a) t) |
(neg.f64 a) |
a |
t |
(*.f64 y (*.f64 (*.f64 (neg.f64 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 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
y |
(*.f64 (*.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))) |
(/.f64 (*.f64 z x) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) |
(*.f64 (neg.f64 x) z) |
(neg.f64 x) |
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))) |
#s(literal -1 binary64) |
#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 |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.42229278058588 | (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) | |
| accuracy | 4.333563816118343 | (*.f64 y (*.f64 (*.f64 (neg.f64 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))))) | |
| accuracy | 6.195411685638174 | (*.f64 (*.f64 (neg.f64 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)))) | |
| accuracy | 20.842905642669464 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) | |
| accuracy | 6.851524516270427 | (*.f64 (*.f64 x y) z) | |
| accuracy | 8.276403749804032 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) | |
| accuracy | 23.30634821870225 | (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) | |
| accuracy | 38.7985121690202 | #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 6.851524516270427 | (*.f64 (*.f64 (neg.f64 x) y) z) | |
| accuracy | 8.338903749804032 | (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) | |
| accuracy | 21.33653742626666 | #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 16.316355924921595 | (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) | |
| accuracy | 20.057335533348148 | #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) | |
| accuracy | 1.52428925948035 | (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) | |
| accuracy | 3.3640042874365443 | (/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) | |
| accuracy | 20.842905642669464 | #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) | |
| accuracy | 22.255504706534065 | (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
| 418.0ms | 114× | 2 | valid |
| 50.0ms | 49× | 1 | valid |
| 39.0ms | 93× | 0 | valid |
Compiled 308 to 45 computations (85.4% saved)
ival-mult: 361.0ms (77.7% of total)ival-log: 39.0ms (8.4% of total)ival-div: 20.0ms (4.3% of total)adjust: 13.0ms (2.8% of total)ival-neg: 13.0ms (2.8% of total)ival-sqrt: 6.0ms (1.3% of total)ival-exp: 4.0ms (0.9% of total)ival-add: 4.0ms (0.9% of total)ival-sub: 3.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) (patch (/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) (patch (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (patch #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 x) y) z) (patch (*.f64 (*.f64 (neg.f64 x) y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (patch (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 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)))) (patch (*.f64 (*.f64 (neg.f64 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)))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (*.f64 (*.f64 (neg.f64 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))))) (patch (*.f64 y (*.f64 (*.f64 (neg.f64 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))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) z) (patch (*.f64 (neg.f64 x) z) #<representation binary64>) () ()) |
#s(alt (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) (patch (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (patch #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) (patch #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (patch #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) (patch (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 a) (#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (/ (* a t) (pow z 2)))) (taylor 0 a) (#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ (* -1/2 (/ t (pow z 2))) (* -1/8 (/ (* a (pow t 2)) (pow z 4)))))) (taylor 0 a) (#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/8 (/ (pow t 2) (pow z 4))) (* -1/16 (/ (* a (pow t 3)) (pow z 6)))))))) (taylor 0 a) (#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 a) (#s(alt (/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) (patch (/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) (taylor 0 a) (#s(alt (/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) (patch (/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)) (taylor 0 a) (#s(alt (/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) (patch (/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)) (taylor 0 a) (#s(alt (/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) (patch (/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ (* a t) (pow z 2))) (taylor 0 a) (#s(alt (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/2 (* a (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4)))))) (* -1/2 (/ t (pow z 2))))) (taylor 0 a) (#s(alt (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))) (* -1/6 (* a (+ (* -3 (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))))) (taylor 0 a) (#s(alt (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))) (* a (+ (* -1/6 (+ (* -3 (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* -1/24 (* a (+ (* -12 (* (pow z 2) (+ (* -1 (/ (pow t 4) (pow z 10))) (+ (* -1/2 (/ (* t (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))) (pow z 2))) (* 1/4 (* (pow z 2) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))))))) (+ (* -3 (* (pow z 4) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))) (+ (* -3 (/ (* (pow t 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))) (+ (* -3/8 (/ (pow t 4) (pow z 8))) (* 6 (* t (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))))))))))))) (taylor 0 a) (#s(alt (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 a) (#s(alt (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) (patch (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
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#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (patch (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) z) (patch (*.f64 (*.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 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)))) (patch (*.f64 (*.f64 (neg.f64 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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 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)))) (patch (*.f64 (*.f64 (neg.f64 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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 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)))) (patch (*.f64 (*.f64 (neg.f64 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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 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)))) (patch (*.f64 (*.f64 (neg.f64 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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (*.f64 y (*.f64 (*.f64 (neg.f64 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))))) (patch (*.f64 y (*.f64 (*.f64 (neg.f64 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))))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (*.f64 y (*.f64 (*.f64 (neg.f64 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))))) (patch (*.f64 y (*.f64 (*.f64 (neg.f64 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))))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (*.f64 y (*.f64 (*.f64 (neg.f64 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))))) (patch (*.f64 y (*.f64 (*.f64 (neg.f64 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))))) #<representation binary64>) () ())) ()) |
#s(alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) (taylor -inf x) (#s(alt (*.f64 y (*.f64 (*.f64 (neg.f64 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))))) (patch (*.f64 y (*.f64 (*.f64 (neg.f64 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))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) z) (patch (*.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) z) (patch (*.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) z) (patch (*.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) z) (patch (*.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | z | @ | 0 | ((exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1)) (/ (* y x) (exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1))) (* (log (/ z (sqrt (- (* z z) (* t a))))) -1) (* y x) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* z y)) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* z y) (* (* (* (neg x) y) z) (/ -1 (sqrt (- (* z z) (* t a))))) (* (* (neg x) y) z) (* (neg x) y) (neg x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (* (neg x) z) (/ -1 (sqrt (- (* z z) (* t a))))) (* y (* (* (neg x) z) (/ -1 (sqrt (- (* z z) (* t a)))))) (* (neg x) z) (log (/ z (sqrt (- (* z z) (* t a))))) (sqrt (- (* z z) (* t a))) (/ -1 (sqrt (- (* z z) (* t a)))) (- (* z z) (* t a)) (sqrt (- (* z z) (* t a))) (+ (* (/ a z) (* -1/2 t)) z)) |
| 13.0ms | z | @ | inf | ((exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1)) (/ (* y x) (exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1))) (* (log (/ z (sqrt (- (* z z) (* t a))))) -1) (* y x) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* z y)) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* z y) (* (* (* (neg x) y) z) (/ -1 (sqrt (- (* z z) (* t a))))) (* (* (neg x) y) z) (* (neg x) y) (neg x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (* (neg x) z) (/ -1 (sqrt (- (* z z) (* t a))))) (* y (* (* (neg x) z) (/ -1 (sqrt (- (* z z) (* t a)))))) (* (neg x) z) (log (/ z (sqrt (- (* z z) (* t a))))) (sqrt (- (* z z) (* t a))) (/ -1 (sqrt (- (* z z) (* t a)))) (- (* z z) (* t a)) (sqrt (- (* z z) (* t a))) (+ (* (/ a z) (* -1/2 t)) z)) |
| 5.0ms | a | @ | 0 | ((exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1)) (/ (* y x) (exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1))) (* (log (/ z (sqrt (- (* z z) (* t a))))) -1) (* y x) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* z y)) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* z y) (* (* (* (neg x) y) z) (/ -1 (sqrt (- (* z z) (* t a))))) (* (* (neg x) y) z) (* (neg x) y) (neg x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (* (neg x) z) (/ -1 (sqrt (- (* z z) (* t a))))) (* y (* (* (neg x) z) (/ -1 (sqrt (- (* z z) (* t a)))))) (* (neg x) z) (log (/ z (sqrt (- (* z z) (* t a))))) (sqrt (- (* z z) (* t a))) (/ -1 (sqrt (- (* z z) (* t a)))) (- (* z z) (* t a)) (sqrt (- (* z z) (* t a))) (+ (* (/ a z) (* -1/2 t)) z)) |
| 5.0ms | y | @ | 0 | ((exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1)) (/ (* y x) (exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1))) (* (log (/ z (sqrt (- (* z z) (* t a))))) -1) (* y x) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* z y)) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* z y) (* (* (* (neg x) y) z) (/ -1 (sqrt (- (* z z) (* t a))))) (* (* (neg x) y) z) (* (neg x) y) (neg x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (* (neg x) z) (/ -1 (sqrt (- (* z z) (* t a))))) (* y (* (* (neg x) z) (/ -1 (sqrt (- (* z z) (* t a)))))) (* (neg x) z) (log (/ z (sqrt (- (* z z) (* t a))))) (sqrt (- (* z z) (* t a))) (/ -1 (sqrt (- (* z z) (* t a)))) (- (* z z) (* t a)) (sqrt (- (* z z) (* t a))) (+ (* (/ a z) (* -1/2 t)) z)) |
| 5.0ms | t | @ | 0 | ((exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1)) (/ (* y x) (exp (* (log (/ z (sqrt (- (* z z) (* t a))))) -1))) (* (log (/ z (sqrt (- (* z z) (* t a))))) -1) (* y x) (* (/ x (sqrt (+ (* (neg a) t) (* z z)))) (* z y)) (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/ x z) (* z y) (* (* (* (neg x) y) z) (/ -1 (sqrt (- (* z z) (* t a))))) (* (* (neg x) y) z) (* (neg x) y) (neg x) (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (* (* x y) z) (* x y) (sqrt (- (* z z) (* t a))) (* (* (neg x) z) (/ -1 (sqrt (- (* z z) (* t a))))) (* y (* (* (neg x) z) (/ -1 (sqrt (- (* z z) (* t a)))))) (* (neg x) z) (log (/ z (sqrt (- (* z z) (* t a))))) (sqrt (- (* z z) (* t a))) (/ -1 (sqrt (- (* z z) (* t a)))) (- (* z z) (* t a)) (sqrt (- (* z z) (* t a))) (+ (* (/ a z) (* -1/2 t)) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1395 | 25417 |
| 1 | 4709 | 24632 |
| 0 | 8103 | 23813 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (* a (+ (* -1/2 (/ t (pow z 2))) (* -1/8 (/ (* a (pow t 2)) (pow z 4)))))) |
(+ 1 (* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/8 (/ (pow t 2) (pow z 4))) (* -1/16 (/ (* a (pow t 3)) (pow z 6)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(* -1/2 (/ (* a t) (pow z 2))) |
(* a (+ (* -1/2 (* a (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4)))))) (* -1/2 (/ t (pow z 2))))) |
(* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))) (* -1/6 (* a (+ (* -3 (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))))) |
(* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))) (* a (+ (* -1/6 (+ (* -3 (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* -1/24 (* a (+ (* -12 (* (pow z 2) (+ (* -1 (/ (pow t 4) (pow z 10))) (+ (* -1/2 (/ (* t (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))) (pow z 2))) (* 1/4 (* (pow z 2) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))))))) (+ (* -3 (* (pow z 4) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))) (+ (* -3 (/ (* (pow t 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))) (+ (* -3/8 (/ (pow t 4) (pow z 8))) (* 6 (* t (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))))))))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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)) |
(/ x z) |
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z)) |
(+ (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 3))))) (/ x z)) |
(+ (* a (+ (* 1/2 (/ (* t x) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ x z)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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 |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
x |
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) |
(+ 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)))))))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(* 1/2 (/ (* a t) (pow z 2))) |
(* a (+ (* 1/2 (* a (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4)))))) (* 1/2 (/ t (pow z 2))))) |
(* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* 1/6 (* a (+ (* -3 (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))) (* 1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))))))) |
(* a (+ (* 1/2 (/ t (pow z 2))) (* a (+ (* 1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))) (* a (+ (* 1/24 (* a (+ (* -12 (* (pow z 2) (+ (* -1 (/ (pow t 4) (pow z 10))) (+ (* -1/2 (/ (* t (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))) (pow z 2))) (* 1/4 (* (pow z 2) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))))))) (+ (* -3 (* (pow z 4) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))) (+ (* -3 (/ (* (pow t 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))) (+ (* -3/8 (/ (pow t 4) (pow z 8))) (* 6 (* t (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))))))) (* 1/6 (+ (* -3 (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))))))) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
(/ -1 z) |
(- (* -1/2 (/ (* a t) (pow z 3))) (/ 1 z)) |
(- (* a (+ (* -1/2 (/ t (pow z 3))) (* 1/2 (* a (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (/ 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)) |
(pow z 2) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3)))))) |
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5)))))))) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(* (sqrt (* a t)) (/ (sqrt -1) z)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 5) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z)))))) |
(* (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)))) (* (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 (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* 1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2))))))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1/24 (/ (+ (* -12 (/ (* a (* t (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (pow (sqrt -1) 2))) (* -3 (/ (* (pow a 2) (pow z 4)) (* (pow t 2) (pow (sqrt -1) 4))))) (pow a 4))) (+ (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* 1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2)))))))) |
(* (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)))) (* (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 (/ 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)))))))) |
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))) |
(* (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)))) (* (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 (/ 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)))))))) |
(* (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)))) (* (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 (/ 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)))))))) |
(* (sqrt (* a t)) (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)))))) |
(* (sqrt (/ 1 (* a t))) (* x (* z (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 (/ 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))))))) |
(* (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)))) (* (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 (/ 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)))))))) |
(log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* -1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2))))))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (+ (* -1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2))))) (* 1/24 (/ (+ (* -12 (/ (* a (* t (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4))))) (pow (sqrt -1) 2))) (* -3 (/ (* (pow a 2) (pow z 4)) (* (pow t 2) (pow (sqrt -1) 4))))) (pow a 4)))))) |
(* (sqrt (* a t)) (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 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1))))) |
(+ (* -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 (* (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 (/ 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))))))) |
(* -1 (* a t)) |
(* a (- (/ (pow z 2) a) t)) |
(* a (- (/ (pow z 2) a) t)) |
(* a (- (/ (pow z 2) a) t)) |
(* (sqrt (* a t)) (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 (/ (* a t) z)) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* a (+ (* -1/2 (/ t z)) (/ z a))) |
(* -1 (* (sqrt (* a t)) (/ (sqrt -1) z))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* z (sqrt -1)))) (* (sqrt (/ t a)) (/ (sqrt -1) z))))))) |
(* (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)))))) (* (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 (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (* -1/2 (/ (pow z 2) (* a t)))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1/2 (/ (pow z 2) (* a t))) (* -1/2 (/ (pow z 4) (* (pow a 2) (pow t 2)))))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1 (/ (+ (* 1/24 (/ (+ (* -3 (/ (* (pow a 2) (pow z 4)) (pow t 2))) (* 12 (* a (* t (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))) a)) (* 1/2 (/ (* a (pow z 4)) (pow t 2)))) (pow a 3))) (* -1/2 (/ (pow z 2) (* a t))))) |
(* (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)))))) (* (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 (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))))))) |
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* (pow z 4) (sqrt -1))))) (* 1/2 (* (sqrt (/ t a)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(* (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)))))) (* (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 (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))))))) |
(* (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)))))) (* (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 (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 (* (sqrt (* a t)) (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))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* z (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 (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)))))) |
(* (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)))))) (* (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 (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (* 1/2 (/ (pow z 2) (* a t)))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* 1/2 (/ (pow z 2) (* a t))) (* 1/2 (/ (pow z 4) (* (pow a 2) (pow t 2)))))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (/ (* a (pow z 4)) (pow t 2))) (* -1/24 (/ (+ (* -3 (/ (* (pow a 2) (pow z 4)) (pow t 2))) (* 12 (* a (* t (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4))))))) a))) (pow a 3))) (* 1/2 (/ (pow z 2) (* a t))))) |
(* -1 (* (sqrt (* a t)) (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 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1))))) |
(+ (* -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 (* (sqrt (/ 1 (* a t))) (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)))))) |
(* -1 (* a t)) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t)))) |
(* -1 (* (sqrt (* a t)) (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))))))) |
(* -1/2 (/ (* a t) z)) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
(* -1 (* a (+ (* -1 (/ z a)) (* 1/2 (/ t z))))) |
1 |
(+ 1 (* -1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (* t (+ (* -1/2 (/ a (pow z 2))) (* -1/8 (/ (* (pow a 2) t) (pow z 4)))))) |
(+ 1 (* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/8 (/ (pow a 2) (pow z 4))) (* -1/16 (/ (* (pow a 3) t) (pow z 6)))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
(* -1/2 (/ (* a t) (pow z 2))) |
(* t (+ (* -1/2 (* t (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4)))))) (* -1/2 (/ a (pow z 2))))) |
(* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4))))) (* -1/6 (* t (+ (* -3 (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))) (+ (* 1/4 (/ (pow a 3) (pow z 6))) (* 3/2 (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))))) |
(* t (+ (* -1/2 (/ a (pow z 2))) (* t (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4))))) (* t (+ (* -1/6 (+ (* -3 (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))) (+ (* 1/4 (/ (pow a 3) (pow z 6))) (* 3/2 (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* -1/24 (* t (+ (* -12 (* (pow z 2) (+ (* -1 (/ (pow a 4) (pow z 10))) (+ (* -1/2 (/ (* a (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))) (pow z 2))) (* 1/4 (* (pow z 2) (pow (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))) 2))))))) (+ (* -3 (* (pow z 4) (pow (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))) 2))) (+ (* -3 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))) (+ (* -3/8 (/ (pow a 4) (pow z 8))) (* 6 (* a (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))))))))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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)) |
(/ x z) |
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z)) |
(+ (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))) (* 1/2 (/ (* a x) (pow z 3))))) (/ x z)) |
(+ (* t (+ (* 1/2 (/ (* a x) (pow z 3))) (* t (+ (* -1/2 (* t (* x (* z (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))) (/ x z)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* 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 |
(+ 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)))))))) |
x |
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) |
(+ 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)))))))))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y)) |
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y)) |
(* 1/2 (/ (* a t) (pow z 2))) |
(* t (+ (* 1/2 (* t (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4)))))) (* 1/2 (/ a (pow z 2))))) |
(* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* 1/6 (* t (+ (* -3 (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))) (+ (* 1/4 (/ (pow a 3) (pow z 6))) (* 3/2 (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))) (* 1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4))))))))) |
(* t (+ (* 1/2 (/ a (pow z 2))) (* t (+ (* 1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))) (* -1/4 (/ (pow a 2) (pow z 4))))) (* t (+ (* 1/24 (* t (+ (* -12 (* (pow z 2) (+ (* -1 (/ (pow a 4) (pow z 10))) (+ (* -1/2 (/ (* a (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))) (pow z 2))) (* 1/4 (* (pow z 2) (pow (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))) 2))))))) (+ (* -3 (* (pow z 4) (pow (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))) 2))) (+ (* -3 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))) (+ (* -3/8 (/ (pow a 4) (pow z 8))) (* 6 (* a (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))))))))) (* 1/6 (+ (* -3 (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2)))))) (+ (* 1/4 (/ (pow a 3) (pow z 6))) (* 3/2 (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))))))))) |
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)))))))) |
(/ -1 z) |
(- (* -1/2 (/ (* a t) (pow z 3))) (/ 1 z)) |
(- (* t (+ (* -1/2 (/ a (pow z 3))) (* 1/2 (* t (* z (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (/ 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)) |
(pow z 2) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
(+ (* -1 (* a t)) (pow z 2)) |
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)))))))) |
z |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(+ z (* -1/2 (/ (* a t) z))) |
(* (sqrt (* a t)) (/ (sqrt -1) z)) |
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z)))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z))))) |
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 3) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 5) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z)))))) |
(* (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)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))) |
(* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* 1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2))))))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1/24 (/ (+ (* -12 (/ (* a (* t (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (pow (sqrt -1) 2))) (* -3 (/ (* (pow t 2) (pow z 4)) (* (pow a 2) (pow (sqrt -1) 4))))) (pow t 4))) (+ (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* 1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2)))))))) |
(* (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)))) (* (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)))))))) |
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (pow z 4)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))))) |
(* (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)))) (* (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)))))))) |
(* (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)))) (* (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)))))))) |
(* (sqrt (* a t)) (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)))))) |
(* (sqrt (/ 1 (* a t))) (* x (* z (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))))))) |
(* (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)))) (* (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)))))))) |
(log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (* -1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2))))))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))) (+ (* -1/2 (/ (pow z 4) (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 2))))) (* 1/24 (/ (+ (* -12 (/ (* a (* t (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4))))) (pow (sqrt -1) 2))) (* -3 (/ (* (pow t 2) (pow z 4)) (* (pow a 2) (pow (sqrt -1) 4))))) (pow t 4)))))) |
(* (sqrt (* a t)) (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 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1))))) |
(+ (* -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 (* (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))))))) |
(* -1 (* a t)) |
(* t (- (/ (pow z 2) t) a)) |
(* t (- (/ (pow z 2) t) a)) |
(* t (- (/ (pow z 2) t) a)) |
(* (sqrt (* a t)) (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 (/ (* a t) z)) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* t (+ (* -1/2 (/ a z)) (/ z t))) |
(* -1 (* (sqrt (* a t)) (/ (sqrt -1) z))) |
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z)))))) |
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 3) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* z (sqrt -1)))) (* (sqrt (/ a t)) (/ (sqrt -1) z))))))) |
(* (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)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))) |
(* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (* -1/2 (/ (pow z 2) (* a t)))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1/2 (/ (pow z 2) (* a t))) (* -1/2 (/ (pow z 4) (* (pow a 2) (pow t 2)))))) |
(+ (* -1 (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1))))) (+ (* -1 (/ (+ (* 1/24 (/ (+ (* -3 (/ (* (pow t 2) (pow z 4)) (pow a 2))) (* 12 (* a (* t (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) t)) (* 1/2 (/ (* t (pow z 4)) (pow a 2)))) (pow t 3))) (* -1/2 (/ (pow z 2) (* a t))))) |
(* (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)))))) (* (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))))))) |
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* (pow z 4) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* (pow z 4) (sqrt -1)))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(* (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)))))) (* (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))))))) |
(* (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)))))) (* (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))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* z (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)))))) |
(* (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)))))) (* (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))))))) |
(log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (* 1/2 (/ (pow z 2) (* a t)))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* 1/2 (/ (pow z 2) (* a t))) (* 1/2 (/ (pow z 4) (* (pow a 2) (pow t 2)))))) |
(+ (log (* (sqrt (/ 1 (* a t))) (* z (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (/ (* t (pow z 4)) (pow a 2))) (* -1/24 (/ (+ (* -3 (/ (* (pow t 2) (pow z 4)) (pow a 2))) (* 12 (* a (* t (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))) t))) (pow t 3))) (* 1/2 (/ (pow z 2) (* a t))))) |
(* -1 (* (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 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* (pow z 2) (sqrt -1))))) |
(+ (* -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 (* (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)))))) |
(* -1 (* a t)) |
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) |
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) |
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a)))) |
(* -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 (/ (* a t) z)) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* -1 (* t (+ (* -1 (/ z t)) (* 1/2 (/ a z))))) |
(* (sqrt (* a t)) (/ (sqrt -1) z)) |
(/ (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) z) |
(/ (+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) z) |
(/ (+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) z) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* -1 (+ (log z) (log (* (sqrt (/ 1 (* a t))) (sqrt -1))))) |
(+ (* -1 (+ (log z) (log (* (sqrt (/ 1 (* a t))) (sqrt -1))))) (* 1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2)))))) |
(+ (* -1 (+ (log z) (log (* (sqrt (/ 1 (* a t))) (sqrt -1))))) (* (pow z 2) (+ (* -1/24 (* (pow z 2) (- (* -12 (/ (* a (* t (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (pow (sqrt -1) 2))) (* 3 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4)))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))) |
(+ (* -1 (+ (log z) (log (* (sqrt (/ 1 (* a t))) (sqrt -1))))) (* (pow z 2) (+ (* (pow z 2) (+ (* -1/24 (- (* -12 (/ (* a (* t (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (pow (sqrt -1) 2))) (* 3 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))) (* -1/720 (* (pow z 2) (- (+ (* -360 (/ (* a (* t (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (pow (sqrt -1) 2))) (* -180 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (pow (sqrt -1) 4)))) (* 30 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 6)))))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2)))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* 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))) (* x (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))) |
(+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1))))))) |
(+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1))))))))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (pow z 2)) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (sqrt -1))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ x (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))) (sqrt -1)))))))))) |
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))))))) |
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1)))))))))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(+ (log z) (log (* (sqrt (/ 1 (* a t))) (sqrt -1)))) |
(+ (log z) (+ (log (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* -1/2 (/ (pow z 2) (* a (* t (pow (sqrt -1) 2))))))) |
(+ (log z) (+ (log (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* (pow z 2) (- (* 1/24 (* (pow z 2) (- (* -12 (/ (* a (* t (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (pow (sqrt -1) 2))) (* 3 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4)))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2))))))))) |
(+ (log z) (+ (log (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* (pow z 2) (- (* (pow z 2) (+ (* 1/720 (* (pow z 2) (- (+ (* -360 (/ (* a (* t (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4)))))) (pow (sqrt -1) 2))) (* -180 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (pow (sqrt -1) 4)))) (* 30 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 6)))))))) (* 1/24 (- (* -12 (/ (* a (* t (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (pow (sqrt -1) 2))) (* 3 (/ 1 (* (pow a 2) (* (pow t 2) (pow (sqrt -1) 4))))))))) (* 1/2 (/ 1 (* a (* t (pow (sqrt -1) 2))))))))) |
(* (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 (* (sqrt (/ 1 (* a t))) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ 1 (* a t))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (sqrt -1))))) |
(+ (* -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))))))) |
(+ (* -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)) |
(- (pow z 2) (* a t)) |
(- (pow z 2) (* a t)) |
(- (pow z 2) (* a t)) |
(* (sqrt (* a t)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5))))))))) |
(* -1/2 (/ (* a t) z)) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
(/ (+ (* -1/2 (* a t)) (pow z 2)) z) |
1 |
(+ 1 (* -1/2 (/ (* a t) (pow z 2)))) |
(+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))) |
(+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(* -1/2 (/ (* a t) (pow z 2))) |
(/ (+ (* -1/2 (* a t)) (* -1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 2)))) (pow z 2)) |
(/ (+ (* -1/2 (* a t)) (+ (* -1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 2))) (* -1/720 (/ (+ (* -360 (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (+ (* 30 (* (pow a 3) (pow t 3))) (* 180 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 4))))) (pow z 2)) |
(/ (+ (* -1/2 (* a t)) (+ (* -1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 2))) (+ (* -1/720 (/ (+ (* -360 (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (+ (* 30 (* (pow a 3) (pow t 3))) (* 180 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 4))) (* -1/40320 (/ (+ (* -20160 (+ (* -1 (* (pow a 4) (pow t 4))) (+ (* -1/2 (* a (* t (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))))) (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) 2))))) (+ (* -5040 (* (pow a 2) (* (pow t 2) (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))) (+ (* -5040 (pow (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) 2)) (+ (* -630 (* (pow a 4) (pow t 4))) (* 10080 (* a (* t (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))))))))) (pow z 6)))))) (pow z 2)) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(/ x z) |
(/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z) |
(/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) z) |
(/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* 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))))))) |
x |
(+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) |
(+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) |
(+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) |
(* x y) |
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))) |
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* 1/2 (/ (* a t) (pow z 2))) |
(/ (+ (* 1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 2))) (* 1/2 (* a t))) (pow z 2)) |
(/ (+ (* 1/720 (/ (+ (* -360 (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (+ (* 30 (* (pow a 3) (pow t 3))) (* 180 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 4))) (+ (* 1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 2))) (* 1/2 (* a t)))) (pow z 2)) |
(/ (+ (* 1/40320 (/ (+ (* -20160 (+ (* -1 (* (pow a 4) (pow t 4))) (+ (* -1/2 (* a (* t (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))))) (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) 2))))) (+ (* -5040 (* (pow a 2) (* (pow t 2) (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))) (+ (* -5040 (pow (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))) 2)) (+ (* -630 (* (pow a 4) (pow t 4))) (* 10080 (* a (* t (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))))))))) (pow z 6))) (+ (* 1/720 (/ (+ (* -360 (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (+ (* 30 (* (pow a 3) (pow t 3))) (* 180 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 4))) (+ (* 1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 2))) (* 1/2 (* a t))))) (pow z 2)) |
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 z) |
(/ (- (* -1/2 (/ (* a t) (pow z 2))) 1) z) |
(/ (- (+ (* -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) z) |
(/ (- (+ (* -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) z) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* 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))))))) |
z |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))) |
-1 |
(- (* 1/2 (/ (* a t) (pow z 2))) 1) |
(- (+ (* 1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2)))) 1) |
(- (+ (* 1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))) (+ (* 1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) 1) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2)))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))))) |
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6)))))) |
(* -1 (log -1)) |
(+ (* -1 (log -1)) (* -1/2 (/ (* a t) (pow z 2)))) |
(+ (* -1 (log -1)) (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 4))))) |
(+ (* -1 (log -1)) (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 4))) (* -1/720 (/ (+ (* -360 (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (+ (* 30 (* (pow a 3) (pow t 3))) (* 180 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) |
(* -1 (* x y)) |
(+ (* -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 (/ x z)) |
(* -1 (/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z)) |
(* -1 (/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) z)) |
(* -1 (/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (* 1/2 (/ (* a (* t x)) (pow z 2)))))) z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -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 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -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)))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* 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)))))))) |
(* -1 x) |
(+ (* -1 x) (* -1/2 (/ (* a (* t x)) (pow z 2)))) |
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))))) |
(+ (* -1 x) (+ (* -1/2 (/ (* a (* t x)) (pow z 2))) (+ (* 1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* x (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6)))))) |
(* -1 (* x 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 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(log -1) |
(+ (log -1) (* 1/2 (/ (* a t) (pow z 2)))) |
(+ (log -1) (+ (* 1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2))))) |
(+ (log -1) (+ (* 1/720 (/ (+ (* -360 (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (+ (* 30 (* (pow a 3) (pow t 3))) (* 180 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))))))) (pow z 6))) (+ (* 1/24 (/ (+ (* -12 (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (* -3 (* (pow a 2) (pow t 2)))) (pow z 4))) (* 1/2 (/ (* a t) (pow z 2)))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))) |
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))) |
(/ 1 z) |
(* -1 (/ (- (* -1/2 (/ (* a t) (pow z 2))) 1) z)) |
(* -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) z)) |
(* -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) z)) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2))))) |
(* -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)))))))) |
z |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* -1 (* z (- (* 1/2 (/ (* a t) (pow z 2))) 1))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x (* y z))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x (* y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (* a t) (pow z 2)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 t a) z) #s(literal 1 binary64)) |
(+ 1 (* a (+ (* -1/2 (/ t (pow z 2))) (* -1/8 (/ (* a (pow t 2)) (pow z 4)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 t z) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 t t) a)) (pow.f64 z #s(literal 4 binary64)))) a #s(literal 1 binary64)) |
(+ 1 (* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/8 (/ (pow t 2) (pow z 4))) (* -1/16 (/ (* a (pow t 3)) (pow z 6)))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 t z) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) a) (pow.f64 z #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 t t)) (pow.f64 z #s(literal 4 binary64)))) a)) a #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(+ (* 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)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (*.f64 z z))) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y x) t) z))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 x a) (*.f64 (*.f64 y (*.f64 z z)) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) t) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y x) t) z))) a (*.f64 y x)) |
(* -1/2 (/ (* a t) (pow z 2))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 t a) z)) |
(* a (+ (* -1/2 (* a (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4)))))) (* -1/2 (/ t (pow z 2))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (neg.f64 (*.f64 z z)) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 t t)) (pow.f64 z #s(literal 4 binary64)))) a (/.f64 t (*.f64 z z)))) a) |
(* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))) (* -1/6 (* a (+ (* -3 (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 z z)) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) t) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) (fma.f64 (*.f64 #s(literal 3/2 binary64) t) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))))) (*.f64 (fma.f64 (neg.f64 (*.f64 z z)) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 t t)) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 t (*.f64 z z)) #s(literal -1/2 binary64))) a) |
(* a (+ (* -1/2 (/ t (pow z 2))) (* a (+ (* -1/2 (+ (* -1 (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))) (* -1/4 (/ (pow t 2) (pow z 4))))) (* a (+ (* -1/6 (+ (* -3 (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))) (+ (* 1/4 (/ (pow t 3) (pow z 6))) (* 3/2 (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* -1/24 (* a (+ (* -12 (* (pow z 2) (+ (* -1 (/ (pow t 4) (pow z 10))) (+ (* -1/2 (/ (* t (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))) (pow z 2))) (* 1/4 (* (pow z 2) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))))))) (+ (* -3 (* (pow z 4) (pow (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))) 2))) (+ (* -3 (/ (* (pow t 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))) (+ (* -3/8 (/ (pow t 4) (pow z 8))) (* 6 (* t (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) a) (fma.f64 (*.f64 #s(literal -12 binary64) (*.f64 z z)) (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) t) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) t) z) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z z)) (pow.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) #s(literal 2 binary64)) (/.f64 (neg.f64 (pow.f64 t #s(literal 4 binary64))) (pow.f64 z #s(literal 10 binary64))))) (fma.f64 #s(literal -3 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (*.f64 t t)) (*.f64 z z))) (fma.f64 (*.f64 #s(literal 6 binary64) t) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) t) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64)))))) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 z z)) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) t) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) (fma.f64 (*.f64 #s(literal 3/2 binary64) t) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))))) #s(literal -1/6 binary64))) a (*.f64 (fma.f64 (neg.f64 (*.f64 z z)) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 t t)) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1/2 binary64))) a (*.f64 (/.f64 t (*.f64 z z)) #s(literal -1/2 binary64))) a) |
(* x y) |
(*.f64 y x) |
(+ (* 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)) |
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 y x) (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (*.f64 z z))) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y x) t) z))) a (*.f64 y x)) |
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 x a) (*.f64 (*.f64 y (*.f64 z z)) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) t) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))))) (*.f64 (*.f64 y x) (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) (*.f64 z z))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y x) t) z))) a (*.f64 y x)) |
(/ x z) |
(/.f64 x z) |
(+ (* 1/2 (/ (* a (* t x)) (pow z 3))) (/ x z)) |
(fma.f64 (/.f64 (*.f64 (*.f64 x t) a) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 x z)) |
(+ (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))) (* 1/2 (/ (* t x) (pow z 3))))) (/ x z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (*.f64 x z) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x t)) (pow.f64 z #s(literal 3 binary64)))) a (/.f64 x z)) |
(+ (* a (+ (* 1/2 (/ (* t x) (pow z 3))) (* a (+ (* -1/2 (* a (* x (* z (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2)))))))) (* -1/2 (* x (* z (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))))) (/ x z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 x a) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64)) t) (*.f64 z z)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64)))) z) (*.f64 (*.f64 x z) (*.f64 (/.f64 (*.f64 t t) (pow.f64 z #s(literal 6 binary64))) #s(literal -3/4 binary64))))) a (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x t)) (pow.f64 z #s(literal 3 binary64)))) a (/.f64 x z)) |
(* x y) |
(*.f64 y x) |
(+ (* 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)) |
(+ (* 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)) |
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z |
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(/ -1 z) |
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(*.f64 z z) |
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z |
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(* (sqrt (* a t)) (sqrt -1)) |
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x |
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(* x y) |
(*.f64 y x) |
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(* 1/2 (/ (* a t) (pow z 2))) |
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z |
(+ z (* -1/2 (/ (* a t) z))) |
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(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
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(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
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(pow z 2) |
(*.f64 z z) |
(+ (* -1 (* a t)) (pow z 2)) |
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(+ (* -1 (* a t)) (pow z 2)) |
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z |
(+ z (* -1/2 (/ (* a t) z))) |
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(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3)))))) |
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(* (sqrt (* a t)) (/ (sqrt -1) z)) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))) |
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(* (sqrt (* a t)) (sqrt -1)) |
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(* (sqrt (/ 1 (* a t))) (* x (* z (sqrt -1)))) |
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 y z)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 y z)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 y z)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 y z)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* x (* y z)) |
(*.f64 (*.f64 y z) x) |
(* x (* y z)) |
(*.f64 (*.f64 y z) x) |
(* x (* y z)) |
(*.f64 (*.f64 y z) x) |
(* x (* y z)) |
(*.f64 (*.f64 y z) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 x z)) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 x z)) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 x z)) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 x z)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(* x (sqrt (/ 1 (+ (* -1 (* a t)) (pow z 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 y z)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 y z)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 y z)) |
(* -1 (* x (* y z))) |
(*.f64 (neg.f64 x) (*.f64 y z)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* x (* y z)) |
(*.f64 (*.f64 y z) x) |
(* x (* y z)) |
(*.f64 (*.f64 y z) x) |
(* x (* y z)) |
(*.f64 (*.f64 y z) x) |
(* x (* y z)) |
(*.f64 (*.f64 y z) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 x z)) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 x z)) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 x z)) |
(* (* x z) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 x z)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 y z) x)) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 x) z) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 330 |
| 0 | 80 | 323 |
| 1 | 263 | 315 |
| 2 | 1221 | 312 |
| 0 | 8971 | 312 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))) |
(/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) |
(*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)) |
(*.f64 y x) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
#s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) |
(/.f64 x z) |
(*.f64 z y) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (*.f64 (neg.f64 x) y) z) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(*.f64 (*.f64 x y) z) |
(*.f64 x y) |
(sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) |
(*.f64 (*.f64 (neg.f64 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 y (*.f64 (*.f64 (neg.f64 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 (neg.f64 x) z) |
(log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) |
#s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) |
#s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)) |
#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) |
| Outputs |
|---|
#<batchref> |
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Compiled 43 775 to 3 878 computations (91.1% saved)
38 alts after pruning (31 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 648 | 17 | 1 665 |
| Fresh | 6 | 14 | 20 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 655 | 38 | 1 693 |
| Status | Accuracy | Program |
|---|---|---|
| 18.9% | (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) | |
| 56.1% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a)))) | |
| ✓ | 37.4% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
| 42.4% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) | |
| ✓ | 67.9% | (/.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))) |
| 52.8% | (/.f64 (*.f64 (neg.f64 (*.f64 x x)) y) (*.f64 x (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (neg.f64 z)))) | |
| 78.1% | (/.f64 (*.f64 y x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))) | |
| ✓ | 78.1% | (/.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)) |
| 77.8% | (/.f64 (*.f64 y x) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))))) | |
| 71.4% | (/.f64 (*.f64 y x) (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (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))) (neg.f64 (fma.f64 (log.f64 z) (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))) (+.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)))))))) | |
| 78.0% | (/.f64 (*.f64 y x) (exp.f64 (-.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (log.f64 z)))) | |
| 5.8% | (/.f64 (*.f64 y x) (exp.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 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)) (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(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)))) #s(literal -1 binary64)))) | |
| 78.1% | (/.f64 (*.f64 y x) (exp.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)))) | |
| 35.8% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 y z) x))) | |
| 37.1% | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) z) | |
| 36.8% | (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) (*.f64 x y)) | |
| 36.0% | (*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) | |
| 35.9% | (*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) | |
| 63.4% | (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z) | |
| 60.1% | (*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) | |
| 67.9% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 (neg.f64 x) y)) z) | |
| 61.6% | (*.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) z) | |
| ✓ | 64.9% | (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) |
| 55.3% | (*.f64 (*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) z) y) | |
| 52.1% | (*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) | |
| 57.1% | (*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (*.f64 y z)) (neg.f64 x)) | |
| 67.0% | (*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) y) (*.f64 (neg.f64 x) z)) | |
| 39.4% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) y) (*.f64 x (neg.f64 z)))) z) | |
| 51.9% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y (/.f64 z x))) z) | |
| 61.3% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) | |
| 59.7% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 y z) x)) z) | |
| 58.4% | (*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 x y))) #s(literal -1 binary64)))) z) | |
| ✓ | 49.3% | (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
| 49.3% | (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 z y)) | |
| ✓ | 73.3% | (*.f64 y (*.f64 (*.f64 (neg.f64 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))))) |
| 19.6% | (*.f64 y (*.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))))) | |
| 27.6% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t))) (*.f64 z (*.f64 x y)))) #s(literal -1 binary64))) | |
| ✓ | 72.0% | #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
Compiled 1 510 to 743 computations (50.8% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 y z) x)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 y z))) z) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y (/.f64 z x))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) y) (*.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (*.f64 y z)) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 z #s(approx (/ -1 (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) z) y) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 z y)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) y) (*.f64 x (neg.f64 z)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) |
(*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.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 a) t)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(*.f64 y (*.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) |
(/.f64 (*.f64 (*.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 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) z) |
(*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) z) |
(*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z) |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) |
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 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)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x)) (*.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 y z) x))) |
(/.f64 (*.f64 y x) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) |
(*.f64 y (*.f64 (*.f64 (neg.f64 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 (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 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 (neg.f64 x) y)) 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 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) y) (*.f64 x (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (neg.f64 z)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) y) (*.f64 x (/.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 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 x y))) #s(literal -1 binary64)))) z) |
(*.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))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t))) (*.f64 z (*.f64 x y)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 (*.f64 y x) z))) #s(literal -1 binary64))) |
(/.f64 (*.f64 y x) (exp.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)))) |
(/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) |
(/.f64 (*.f64 y x) (exp.f64 (-.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (log.f64 z)))) |
(/.f64 (*.f64 y x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)))))) |
(/.f64 (*.f64 y x) (exp.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 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)) (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(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)))) #s(literal -1 binary64)))) |
(/.f64 (*.f64 y x) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 z)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))))))) |
(/.f64 (*.f64 y x) (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (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))) (neg.f64 (fma.f64 (log.f64 z) (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))) (+.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)))))))) |
| Outputs |
|---|
(*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64)))) |
8 calls:
| 38.0ms | (*.f64 t a) |
| 21.0ms | t |
| 20.0ms | a |
| 18.0ms | x |
| 18.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.1% | 1 | x |
| 78.1% | 1 | y |
| 93.3% | 2 | z |
| 81.9% | 3 | t |
| 81.6% | 3 | a |
| 92.2% | 3 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 78.1% | 1 | (*.f64 x y) |
| 85.2% | 3 | (*.f64 t a) |
Compiled 25 to 49 computations (-96% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 y z) x)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 y z))) z) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y (/.f64 z x))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) y) (*.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (*.f64 y z)) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 z #s(approx (/ -1 (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) z) y) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 z y)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) y) (*.f64 x (neg.f64 z)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) |
(*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.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 a) t)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(*.f64 y (*.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) |
(/.f64 (*.f64 (*.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 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) z) |
(*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) z) |
(*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z) |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) |
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 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)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x)) (*.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 y z) x))) |
(/.f64 (*.f64 y x) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) |
(*.f64 y (*.f64 (*.f64 (neg.f64 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 (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 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) (*.f64 (neg.f64 x) y)) 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 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (-.f64 (/.f64 (*.f64 z z) a) t) a)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) y) (*.f64 x (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)) (neg.f64 z)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) y) (*.f64 x (/.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 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 x y))) #s(literal -1 binary64)))) z) |
(*.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))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t))) (*.f64 z (*.f64 x y)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) (*.f64 (*.f64 y x) z))) #s(literal -1 binary64))) |
(/.f64 (*.f64 y x) (exp.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)))) |
| Outputs |
|---|
(*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(/.f64 (*.f64 y x) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z)) |
1 calls:
| 36.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.3% | 2 | z |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 y z) x)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 y z))) z) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y (/.f64 z x))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) y) (*.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (*.f64 y z)) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 z #s(approx (/ -1 (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) z) y) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 z y)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) y) (*.f64 x (neg.f64 z)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) |
(*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.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 a) t)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(*.f64 y (*.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) |
(/.f64 (*.f64 (*.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 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) z) |
(*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) |
(*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) y) z) |
(*.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) z) y) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z) |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 z y)) |
(*.f64 (/.f64 z (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 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)))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 (*.f64 z y) x))) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) t (*.f64 z z)))) x)) (*.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t))) (*.f64 (*.f64 y z) x))) |
| 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))) x) y) |
1 calls:
| 14.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.3% | 2 | z |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 y z) x)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 y z))) z) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y (/.f64 z x))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) y) (*.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (*.f64 y z)) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 z #s(approx (/ -1 (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) z) y) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 z y)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) y) (*.f64 x (neg.f64 z)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) |
(*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.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 a) t)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(*.f64 y (*.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) |
(/.f64 (*.f64 (*.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 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) z) |
| Outputs |
|---|
(*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) |
(*.f64 (*.f64 x (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z 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:
| 10.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.9% | 3 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 91.7% | 3 | z |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 y z) x)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 y z))) z) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y (/.f64 z x))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) y) (*.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (*.f64 y z)) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 z #s(approx (/ -1 (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) z) y) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 z y)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) y) (*.f64 x (neg.f64 z)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) |
(*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.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 a) t)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(*.f64 y (*.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))))) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 (/.f64 a z) #s(literal -1/2 binary64)) t)))) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) |
(/.f64 (*.f64 (*.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 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) |
(*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y) |
2 calls:
| 9.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.8% | 3 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 86.0% | 2 | z |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 y z) x)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 y z))) z) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y (/.f64 z x))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) y) (*.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (*.f64 y z)) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 z #s(approx (/ -1 (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) z) y) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 z y)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) y) (*.f64 x (neg.f64 z)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) |
(*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) |
(*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.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 a) t)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) |
(*.f64 y (*.f64 x (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) #s(approx (+ (* (* -1/2 t) (/ a z)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a z)) t)))))) |
(/.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 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
1 calls:
| 84.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 2 | z |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 y z) x)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 y z))) z) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y (/.f64 z x))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) y) (*.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (*.f64 y z)) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 z #s(approx (/ -1 (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) z) y) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 z y)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) y) (*.f64 x (neg.f64 z)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
1 calls:
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.8% | 2 | z |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 y z) x)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 y z))) z) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y (/.f64 z x))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) y) (*.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (*.f64 y z)) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 z #s(approx (/ -1 (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) z) y) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z)))) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (*.f64 z y)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) y) (*.f64 x (neg.f64 z)))) z) |
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 z z)))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
8 calls:
| 13.0ms | x |
| 8.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 7.0ms | a |
| 7.0ms | y |
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.2% | 2 | y |
| 73.7% | 2 | x |
| 74.9% | 2 | (*.f64 x y) |
| 72.0% | 1 | a |
| 75.2% | 2 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 72.0% | 1 | t |
| 72.0% | 1 | (*.f64 t a) |
| 75.3% | 2 | z |
Compiled 25 to 49 computations (-96% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 y z) x)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 y z))) z) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 y (/.f64 z x))) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) z) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) y) (*.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (*.f64 y z)) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 z #s(approx (/ -1 (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) z) y) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
1 calls:
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.2% | 2 | z |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 y z) x)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 y z))) z) |
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
3 calls:
| 3.0ms | z |
| 3.0ms | (*.f64 x y) |
| 3.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.0% | 1 | (*.f64 x y) |
| 72.0% | 1 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 74.3% | 2 | z |
Compiled 18 to 23 computations (-27.8% saved)
Total -37.1b remaining (-206.8%)
Threshold costs -37.1b (-206.8%)
| Inputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
(*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) (*.f64 z y)) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 x z) y)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (/.f64 y z) x)) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 (*.f64 y x) z)) z) |
(*.f64 (*.f64 #s(approx (/ x (sqrt (+ (* (neg a) t) (* z z)))) (/.f64 x z)) y) z) |
(*.f64 #s(approx (/ (* y x) (sqrt (+ (* (neg a) t) (* z z)))) (*.f64 (neg.f64 x) (/.f64 y z))) z) |
| Outputs |
|---|
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
3 calls:
| 69.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.0% | 1 | x |
| 72.0% | 1 | y |
| 72.0% | 1 | z |
Compiled 3 to 15 computations (-400% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 2.846149274897109e+40 | 6.310298970406895e+43 |
| 16.0ms | 128× | 0 | valid |
| 1.0ms | 11× | 0 | invalid |
Compiled 281 to 268 computations (4.6% saved)
ival-mult: 10.0ms (78.7% of total)ival-sub: 1.0ms (7.9% of total)ival-div: 1.0ms (7.9% of total)ival-sqrt: 1.0ms (7.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 2.846149274897109e+40 | 6.310298970406895e+43 |
| 8.0ms | 112× | 0 | valid |
| 0.0ms | 6× | 0 | invalid |
Compiled 249 to 236 computations (5.2% saved)
ival-mult: 3.0ms (58.5% of total)ival-sub: 1.0ms (19.5% of total)ival-div: 1.0ms (19.5% of total)ival-sqrt: 1.0ms (19.5% 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 |
|---|---|---|
| 5.0ms | 2.846149274897109e+40 | 6.310298970406895e+43 |
Compiled 249 to 236 computations (5.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.706846112616256e+51 | 8.323373171443448e+52 |
| 12.0ms | 1.8441615297350638e-161 | 5.729016198761377e-161 |
| 16.0ms | 192× | 0 | valid |
| 2.0ms | 34× | 0 | invalid |
Compiled 350 to 339 computations (3.1% saved)
ival-mult: 7.0ms (60.7% of total)ival-sqrt: 2.0ms (17.4% of total)ival-sub: 1.0ms (8.7% of total)ival-div: 1.0ms (8.7% 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 |
|---|---|---|
| 18.0ms | 8.252737593336903e-70 | 2.3250077194797042e-66 |
| 9.0ms | 128× | 0 | valid |
| 2.0ms | 25× | 0 | invalid |
Compiled 233 to 236 computations (-1.3% saved)
ival-mult: 4.0ms (62.3% of total)ival-sub: 1.0ms (15.6% of total)ival-div: 1.0ms (15.6% of total)ival-sqrt: 1.0ms (15.6% 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 | 1.22219337510821e-50 | 2.5762140284915556e-49 |
| 10.0ms | 112× | 0 | valid |
| 2.0ms | 26× | 0 | invalid |
Compiled 129 to 167 computations (-29.5% saved)
ival-sub: 3.0ms (37.9% of total)ival-mult: 3.0ms (37.9% of total)ival-div: 1.0ms (12.6% of total)ival-sqrt: 1.0ms (12.6% 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 | 1.22219337510821e-50 | 2.5762140284915556e-49 |
Compiled 129 to 167 computations (-29.5% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 1.9067435204385846e-127 | 1.1229567094731208e-126 |
| 1.0ms | 16× | 0 | valid |
| 0.0ms | 3× | 0 | invalid |
Compiled 32 to 41 computations (-28.1% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 61.0ms | 8.618578457174615e-217 | 7.997506150813245e-205 |
| 48.0ms | 160× | 0 | valid |
| 5.0ms | 71× | 0 | invalid |
Compiled 147 to 210 computations (-42.9% saved)
ival-mult: 7.0ms (61.8% of total)ival-sqrt: 2.0ms (17.6% of total)ival-sub: 1.0ms (8.8% of total)ival-div: 1.0ms (8.8% 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 |
|---|---|---|
| 10.0ms | 8.618578457174615e-217 | 7.997506150813245e-205 |
| 5.0ms | 64× | 0 | valid |
| 1.0ms | 21× | 0 | invalid |
Compiled 147 to 210 computations (-42.9% saved)
ival-mult: 2.0ms (57% of total)ival-sqrt: 1.0ms (28.5% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 461 |
| 1 | 129 | 460 |
| 2 | 148 | 460 |
| 3 | 170 | 460 |
| 4 | 186 | 460 |
| 5 | 194 | 460 |
| 6 | 197 | 460 |
| 7 | 198 | 460 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 z #s(literal 8000000000000000359085701424607334284394496 binary64)) (*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) (/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))))) |
(if (<=.f64 z #s(literal 304999999999999998989604400299263855165440 binary64)) (*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) (/.f64 (*.f64 y x) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) |
(if (<=.f64 z #s(literal 304999999999999998989604400299263855165440 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))) x) y)) |
(if (<=.f64 z #s(literal 2912562807747279/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816 binary64)) (*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) (if (<=.f64 z #s(literal 59999999999999999593256920461697678587702506516643840 binary64)) (*.f64 (*.f64 x (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z 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 1942668892225729/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y)) |
(if (<=.f64 z #s(literal 8424983333484575/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 8424983333484575/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 2168842720287911/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944 binary64)) (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 397621165386117/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
| Outputs |
|---|
(if (<=.f64 z #s(literal 8000000000000000359085701424607334284394496 binary64)) (*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) (/.f64 (*.f64 y x) (exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))) #s(literal -1 binary64))))) |
(if (<=.f64 z #s(literal 8000000000000000359085701424607334284394496 binary64)) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y z)) (/.f64 (*.f64 x y) (exp.f64 (neg.f64 (log.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 a z) z)))))))) |
(if (<=.f64 z #s(literal 304999999999999998989604400299263855165440 binary64)) (*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z))))) (/.f64 (*.f64 y x) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) |
(if (<=.f64 z #s(literal 304999999999999998989604400299263855165440 binary64)) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) (*.f64 y z)) (/.f64 (*.f64 x y) (/.f64 #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z)) z))) |
(if (<=.f64 z #s(literal 304999999999999998989604400299263855165440 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))) x) y)) |
(if (<=.f64 z #s(literal 304999999999999998989604400299263855165440 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))) x) y)) |
(if (<=.f64 z #s(literal 2912562807747279/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816 binary64)) (*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) (if (<=.f64 z #s(literal 59999999999999999593256920461697678587702506516643840 binary64)) (*.f64 (*.f64 x (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z 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 2912562807747279/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816 binary64)) (*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 t (neg.f64 a))))) (*.f64 y z)) (if (<=.f64 z #s(literal 59999999999999999593256920461697678587702506516643840 binary64)) (*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) x) z) (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y))) |
(if (<=.f64 z #s(literal 1942668892225729/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) (*.f64 (*.f64 (/.f64 z #s(approx (sqrt (- (* z z) (* t a))) (fma.f64 (/.f64 a z) (*.f64 #s(literal -1/2 binary64) t) z))) x) y)) |
(if (<=.f64 z #s(literal 1942668892225729/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 t (neg.f64 a))))) (*.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))) x) y)) |
(if (<=.f64 z #s(literal 8424983333484575/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 (neg.f64 a) t)))) (*.f64 z y)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 8424983333484575/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (*.f64 (/.f64 x (sqrt.f64 #s(approx (+ (* (neg a) t) (* z z)) (*.f64 t (neg.f64 a))))) (*.f64 y z)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))) |
(if (<=.f64 z #s(literal 8424983333484575/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 (neg.f64 a) t)))) y) x) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 8424983333484575/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (*.f64 (*.f64 (/.f64 z (sqrt.f64 #s(approx (- (* z z) (* t a)) (*.f64 t (neg.f64 a))))) y) x) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))) |
(if (<=.f64 z #s(literal 2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) z) #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 2438866054934369/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (*.f64 #s(approx (/ -1 (sqrt (- (* z z) (* t a)))) (/.f64 #s(literal -1 binary64) z)) (*.f64 (*.f64 (neg.f64 x) y) z)) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))) |
(if (<=.f64 z #s(literal 2168842720287911/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944 binary64)) (/.f64 (*.f64 (*.f64 z x) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 2168842720287911/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944 binary64)) (/.f64 (*.f64 (*.f64 x z) y) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))) |
(if (<=.f64 z #s(literal 397621165386117/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x))) |
(if (<=.f64 z #s(literal 397621165386117/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(approx (sqrt (- (* z z) (* t a))) (neg.f64 z))) #s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y))) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 y x)) |
#s(approx (/ (* (* x y) z) (sqrt (- (* z z) (* t a)))) (*.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 330 |
| 0 | 80 | 323 |
| 1 | 263 | 315 |
| 2 | 1221 | 312 |
| 0 | 8971 | 312 |
| 0 | 996 | 22432 |
| 1 | 3331 | 21906 |
| 0 | 8557 | 21183 |
| 0 | 52 | 291 |
| 0 | 79 | 288 |
| 1 | 245 | 287 |
| 2 | 1252 | 285 |
| 0 | 8569 | 285 |
| 0 | 37 | 193 |
| 0 | 59 | 190 |
| 1 | 195 | 189 |
| 2 | 1028 | 189 |
| 0 | 8887 | 189 |
| 0 | 12 | 37 |
| 0 | 19 | 37 |
| 1 | 56 | 37 |
| 2 | 320 | 37 |
| 3 | 2703 | 37 |
| 0 | 8429 | 37 |
| 0 | 495 | 3663 |
| 1 | 1609 | 3591 |
| 2 | 6491 | 3573 |
| 0 | 8282 | 3461 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 109 to 607 computations (45.3% saved)
(sort t a)
Compiled 1 940 to 1 174 computations (39.5% saved)
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