
Time bar (total: 5.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 30.8% | 25% | 56.2% | 0.1% | 0% | 18.7% | 0% | 7 |
| 30.8% | 25% | 56.2% | 0.1% | 0% | 18.7% | 0% | 8 |
| 32% | 25% | 53% | 0.1% | 0% | 21.8% | 0% | 9 |
| 55.8% | 37.4% | 29.6% | 0.1% | 0% | 32.8% | 0% | 10 |
| 55.8% | 37.4% | 29.6% | 0.1% | 0% | 32.8% | 0% | 11 |
| 57.8% | 37.4% | 27.3% | 0.1% | 0% | 35.1% | 0% | 12 |
Compiled 12 to 10 computations (16.7% saved)
| 654.0ms | 8 256× | 0 | valid |
| 313.0ms | 2 298× | 0 | invalid |
ival-mult: 349.0ms (70.9% of total)ival-sqrt: 78.0ms (15.8% of total)ival-sub: 54.0ms (11% of total)ival-true: 8.0ms (1.6% of total)ival-assert: 4.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 140 | 0 | - | 1 | (-1.494794760641074e+250 -3.085319547455203e-158 2.0177897781212258e-199) | (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) |
| 23 | 0 | - | 0 | - | (-.f64 (*.f64 y y) (*.f64 z z)) |
| 0 | 0 | - | 0 | - | (*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) | oflow-rescue | 127 | 0 |
| ↳ | (*.f64 y y) | overflow | 127 | |
| ↳ | (-.f64 (*.f64 y y) (*.f64 z z)) | overflow | 127 | |
| ↳ | (*.f64 z z) | overflow | 23 | |
-.f64 | (-.f64 (*.f64 y y) (*.f64 z z)) | nan-rescue | 23 | 0 |
| ↳ | (*.f64 y y) | overflow | 127 | |
| ↳ | (*.f64 z z) | overflow | 23 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) | uflow-rescue | 12 | 0 |
| ↳ | (*.f64 y y) | underflow | 12 | |
| ↳ | (-.f64 (*.f64 y y) (*.f64 z z)) | underflow | 12 | |
| ↳ | (*.f64 z z) | underflow | 101 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 102 | 1 |
| - | 37 | 116 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 102 | 0 | 1 |
| - | 37 | 0 | 116 |
| number | freq |
|---|---|
| 0 | 117 |
| 1 | 116 |
| 2 | 23 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 76.0ms | 512× | 0 | valid |
Compiled 116 to 36 computations (69% saved)
ival-mult: 44.0ms (71.6% of total)ival-sub: 13.0ms (21.2% of total)ival-sqrt: 4.0ms (6.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 93 |
| 1 | 127 | 93 |
| 2 | 365 | 93 |
| 3 | 1314 | 93 |
| 4 | 3807 | 93 |
| 5 | 5987 | 93 |
| 0 | 8 | 10 |
| 0 | 13 | 10 |
| 1 | 31 | 10 |
| 2 | 101 | 10 |
| 3 | 358 | 10 |
| 4 | 1294 | 10 |
| 5 | 2993 | 10 |
| 6 | 4609 | 10 |
| 7 | 7617 | 10 |
| 0 | 8126 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) |
| Outputs |
|---|
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) |
(*.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))) x) |
(abs z)
(abs y)
(negabs x)
Compiled 10 to 8 computations (20% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 61.8% | (*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) | |
| cost-diff | 0 | (*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) | |
| cost-diff | 128 | (-.f64 (*.f64 y y) (*.f64 z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 34 |
| 0 | 13 | 34 |
| 1 | 31 | 34 |
| 2 | 101 | 34 |
| 3 | 358 | 34 |
| 4 | 1294 | 34 |
| 5 | 2993 | 34 |
| 6 | 4609 | 34 |
| 7 | 7617 | 34 |
| 0 | 8126 | 34 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) |
x |
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) |
(-.f64 (*.f64 y y) (*.f64 z z)) |
(*.f64 y y) |
y |
(*.f64 z z) |
z |
| Outputs |
|---|
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) |
(*.f64 (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))) x) |
x |
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) |
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 z y))) |
(-.f64 (*.f64 y y) (*.f64 z z)) |
(*.f64 (-.f64 y z) (+.f64 z y)) |
(*.f64 y y) |
y |
(*.f64 z z) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.0234375 | (*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) | |
| accuracy | 4.589843750000001 | (-.f64 (*.f64 y y) (*.f64 z z)) | |
| accuracy | 32.42368952316723 | (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) |
| 18.0ms | 256× | 0 | valid |
Compiled 70 to 18 computations (74.3% saved)
ival-mult: 7.0ms (72.3% of total)ival-sqrt: 2.0ms (20.7% of total)ival-sub: 1.0ms (10.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 y y) (*.f64 z z)) |
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) |
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) |
(*.f64 y y) |
| Outputs |
|---|
(* x (sqrt (- (pow y 2) (pow z 2)))) |
(* -1 (pow z 2)) |
(- (pow y 2) (pow z 2)) |
(* x (* z (sqrt -1))) |
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1)))) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1))))))) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5))))))))) |
(* z (sqrt -1)) |
(+ (* 1/2 (/ (pow y 2) (* z (sqrt -1)))) (* z (sqrt -1))) |
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* z (sqrt -1))))))) |
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (* (pow z 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow z 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* z (sqrt -1))))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) |
(* x y) |
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) |
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))) |
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))) |
y |
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2))))) |
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4)))))) |
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6))))))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))) |
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))) |
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4))))))) |
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6)))))))) |
(+ (* -1 (pow z 2)) (pow y 2)) |
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y)) |
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))))) |
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))))) |
(+ y (* -1/2 (/ (pow z 2) y))) |
(+ y (* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) |
(* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))) |
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))) |
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) |
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) |
(* -1 (* x (* z (sqrt -1)))) |
(* -1 (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))) |
(* -1 (* z (sqrt -1))) |
(* -1 (* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) |
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) |
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | ((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y)) |
| 2.0ms | y | @ | inf | ((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y)) |
| 1.0ms | z | @ | inf | ((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y)) |
| 1.0ms | y | @ | 0 | ((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y)) |
| 1.0ms | x | @ | -inf | ((- (* y y) (* z z)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 205 | 1144 |
| 0 | 717 | 1088 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(* x (sqrt (- (pow y 2) (pow z 2)))) |
(* -1 (pow z 2)) |
(- (pow y 2) (pow z 2)) |
(* x (* z (sqrt -1))) |
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1)))) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1))))))) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5))))))))) |
(* z (sqrt -1)) |
(+ (* 1/2 (/ (pow y 2) (* z (sqrt -1)))) (* z (sqrt -1))) |
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* z (sqrt -1))))))) |
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (* (pow z 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow z 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* z (sqrt -1))))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) |
(* x y) |
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) |
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))) |
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))) |
y |
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2))))) |
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4)))))) |
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6))))))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))) |
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))) |
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4))))))) |
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6)))))))) |
(+ (* -1 (pow z 2)) (pow y 2)) |
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y)) |
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))))) |
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))))) |
(+ y (* -1/2 (/ (pow z 2) y))) |
(+ y (* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) |
(* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))) |
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))) |
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) |
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) |
(* -1 (* x (* z (sqrt -1)))) |
(* -1 (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))) |
(* -1 (* z (sqrt -1))) |
(* -1 (* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) |
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) |
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))) |
| Outputs |
|---|
(* x (sqrt (- (pow y 2) (pow z 2)))) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) x) |
(* -1 (pow z 2)) |
(neg.f64 (*.f64 z z)) |
(- (pow y 2) (pow z 2)) |
(-.f64 (*.f64 y y) (*.f64 z z)) |
(* x (* z (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) x) |
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1)))) |
(fma.f64 (*.f64 x z) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z))) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1))))))) |
(fma.f64 (*.f64 x z) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x)) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) #s(literal 3 binary64)))) (*.f64 y y))) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5))))))))) |
(fma.f64 (*.f64 x z) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 x (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 y y) (*.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) #s(literal 1/2 binary64))) (*.f64 y y))) |
(* z (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) z) |
(+ (* 1/2 (/ (pow y 2) (* z (sqrt -1)))) (* z (sqrt -1))) |
(fma.f64 (/.f64 (/.f64 (*.f64 y y) z) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) |
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* z (sqrt -1))))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z))) (*.f64 y y) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) |
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (* (pow z 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow z 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* z (sqrt -1))))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 y y)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z))) (*.f64 y y) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 y y)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 y y)) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)) #s(literal -1/2 binary64) x) y) |
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)) #s(literal -1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)) (pow.f64 y #s(literal 4 binary64)))) y) |
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) x) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)) (pow.f64 y #s(literal 4 binary64))))) x) y) |
y |
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) (*.f64 y y)) #s(literal 1 binary64)) y) |
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4)))))) |
(*.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) y) |
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) (*.f64 y y)) (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64)) y) |
(* -1 (* x y)) |
(neg.f64 (*.f64 x y)) |
(* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)) #s(literal -1/2 binary64) x)) |
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))) |
(*.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)) #s(literal -1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)) (pow.f64 y #s(literal 4 binary64))))) |
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))) |
(*.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) x) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)) (pow.f64 y #s(literal 4 binary64))))) x)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))) |
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) (*.f64 y y)) #s(literal 1 binary64))) |
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4))))))) |
(*.f64 (neg.f64 y) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6)))))))) |
(*.f64 (neg.f64 y) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) (*.f64 y y)) (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64))) |
(+ (* -1 (pow z 2)) (pow y 2)) |
(-.f64 (*.f64 y y) (*.f64 z z)) |
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y)) |
(fma.f64 (/.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1/2 binary64) (*.f64 x y)) |
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y)) |
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y)) |
(+ y (* -1/2 (/ (pow z 2) y))) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y) |
(+ y (* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 z z)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z z) y) |
(+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z z) y) |
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) |
(*.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1 binary64)) (*.f64 z z)) |
(* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) z) |
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) z) |
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) (*.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 (*.f64 (*.f64 y y) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))) z) |
(* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) z) |
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z)))) (sqrt.f64 #s(literal -1 binary64))) z) |
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 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) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))))) (sqrt.f64 #s(literal -1 binary64))) z) |
(* -1 (* x (* z (sqrt -1)))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) x)) |
(* -1 (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) z)) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) z)) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) (*.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 (*.f64 (*.f64 y y) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))) z)) |
(* -1 (* z (sqrt -1))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) |
(* -1 (* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) z)) |
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) |
(neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z)))) (sqrt.f64 #s(literal -1 binary64))) z)) |
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))) |
(neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 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) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))))) (sqrt.f64 #s(literal -1 binary64))) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 13 | 28 |
| 1 | 49 | 28 |
| 2 | 389 | 28 |
| 3 | 5001 | 23 |
| 0 | 8630 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 y y) (*.f64 z z)) |
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) |
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64)))) (fma.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) |
(*.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) |
(*.f64 (-.f64 y z) (-.f64 y z)) |
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(fma.f64 (-.f64 y z) y (*.f64 (-.f64 y z) z)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(fma.f64 (*.f64 z z) #s(literal -1 binary64) (*.f64 y y)) |
(fma.f64 z (-.f64 z y) (*.f64 y (-.f64 y z))) |
(fma.f64 z (-.f64 y z) (*.f64 y (-.f64 y z))) |
(fma.f64 z z (*.f64 y y)) |
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 y y) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 y y) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))) |
(fma.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))))) |
(fma.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))) |
(fma.f64 y (-.f64 y z) (*.f64 z (-.f64 y z))) |
(fma.f64 y y (*.f64 z z)) |
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 z z)) |
(-.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(-.f64 (*.f64 z z) (*.f64 y y)) |
(-.f64 (*.f64 y y) (*.f64 z z)) |
(hypot.f64 (*.f64 z z) (*.f64 y y)) |
(hypot.f64 (*.f64 y y) (*.f64 z z)) |
(exp.f64 (+.f64 (log.f64 (hypot.f64 z y)) (log.f64 (hypot.f64 z y)))) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 z y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(+.f64 (-.f64 (*.f64 y y) #s(literal 0 binary64)) (*.f64 z z)) |
(+.f64 (*.f64 y (-.f64 y z)) (*.f64 z (-.f64 y z))) |
(+.f64 (*.f64 (-.f64 y z) z) (*.f64 (-.f64 y z) y)) |
(+.f64 (*.f64 (-.f64 y z) y) (*.f64 (-.f64 y z) z)) |
(+.f64 (*.f64 z (-.f64 y z)) (*.f64 y (-.f64 y z))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(+.f64 (*.f64 z z) (*.f64 y y)) |
(+.f64 (*.f64 y y) (*.f64 z z)) |
(*.f64 (*.f64 x (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z))) |
(*.f64 (sqrt.f64 (-.f64 y z)) (*.f64 (sqrt.f64 (-.f64 y z)) x)) |
(*.f64 (hypot.f64 z y) x) |
(*.f64 x (hypot.f64 z y)) |
(/.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) x) (hypot.f64 z y)) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (hypot.f64 (*.f64 z (-.f64 y z)) (*.f64 y y))) |
(/.f64 (*.f64 x (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) (hypot.f64 z y)) |
(/.f64 (*.f64 x (hypot.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (hypot.f64 (*.f64 z (-.f64 y z)) (*.f64 y y))) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 y z))) (neg.f64 (sqrt.f64 (-.f64 y z)))) |
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 y z))) (fabs.f64 (sqrt.f64 (-.f64 y z)))) |
(*.f64 (hypot.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (hypot.f64 (*.f64 z (-.f64 y z)) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z))) |
(*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (pow.f64 (hypot.f64 z y) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (hypot.f64 (*.f64 z (-.f64 y z)) (*.f64 y y)) (hypot.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 y z))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (sqrt.f64 (-.f64 y z))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 z y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (hypot.f64 (*.f64 z (-.f64 y z)) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (*.f64 z (-.f64 y z)) (*.f64 y y)) (hypot.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 z y) #s(literal -1 binary64))) |
(/.f64 (hypot.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (hypot.f64 (*.f64 z (-.f64 y z)) (*.f64 y y))) |
(/.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (neg.f64 (hypot.f64 z y))) |
(/.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) (hypot.f64 z y)) |
(sqrt.f64 (exp.f64 (log.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))))) |
(sqrt.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) |
(fabs.f64 (hypot.f64 z y)) |
(hypot.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 z))) |
(hypot.f64 (exp.f64 (log.f64 y)) z) |
(hypot.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 y))) |
(hypot.f64 (exp.f64 (log.f64 z)) y) |
(hypot.f64 z (exp.f64 (log.f64 y))) |
(hypot.f64 z y) |
(hypot.f64 y (exp.f64 (log.f64 z))) |
(hypot.f64 y z) |
(exp.f64 (fma.f64 (log.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) #s(literal 1/4 binary64) (*.f64 (log.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64) (*.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y z))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (log.f64 (hypot.f64 z y))) |
(+.f64 (cosh.f64 (log.f64 (hypot.f64 z y))) (sinh.f64 (log.f64 (hypot.f64 z y)))) |
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (pow.f64 y #s(literal 3 binary64)))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 #s(literal -1 binary64) (*.f64 y y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 y y)) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (+.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(exp.f64 (+.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (*.f64 (log.f64 y) #s(literal 1 binary64)))) |
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 y))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
Compiled 5 672 to 1 050 computations (81.5% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 256 | 4 | 260 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 256 | 5 | 261 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 61.8% | (*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) |
| ▶ | 90.6% | (*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y))) |
| ▶ | 74.5% | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y))) |
| ▶ | 87.1% | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1/2 binary64) (*.f64 x y))) |
| ▶ | 98.9% | #s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) |
Compiled 111 to 73 computations (34.2% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 z z) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y)) | |
| cost-diff | 0 | (*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y))) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y))) | |
| cost-diff | 320 | (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 z z) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 z z) x) y) | |
| cost-diff | 0 | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1/2 binary64) (*.f64 x y))) | |
| cost-diff | 320 | (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1/2 binary64) (*.f64 x y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 310 |
| 0 | 58 | 310 |
| 1 | 124 | 310 |
| 2 | 410 | 310 |
| 3 | 1811 | 302 |
| 4 | 7859 | 300 |
| 0 | 8443 | 294 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1/2 binary64) (*.f64 x y))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1/2 binary64) (*.f64 x y)) |
(/.f64 (*.f64 (*.f64 z z) x) y) |
(*.f64 (*.f64 z z) x) |
(*.f64 z z) |
z |
x |
y |
#s(literal -1/2 binary64) |
(*.f64 x y) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) |
(/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) |
(*.f64 (*.f64 z z) x) |
(*.f64 z z) |
z |
x |
(pow.f64 y #s(literal 5 binary64)) |
y |
#s(literal 5 binary64) |
#s(literal -1/16 binary64) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64)) |
(/.f64 x (pow.f64 y #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -1/8 binary64) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(/.f64 x y) |
#s(literal -1/2 binary64) |
(*.f64 x y) |
(*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y))) |
x |
#s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y)) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y) |
(/.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1/2 binary64) (*.f64 x y))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1/2 binary64) (*.f64 x y)) |
(*.f64 x (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y)) |
(/.f64 (*.f64 (*.f64 z z) x) y) |
(*.f64 (*.f64 z z) x) |
(*.f64 z z) |
z |
x |
y |
#s(literal -1/2 binary64) |
(*.f64 x y) |
(*.f64 y x) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x (fma.f64 z (*.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 5 binary64))) z) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 x (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y)) |
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x (fma.f64 z (*.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 5 binary64))) z) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 x (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 x (fma.f64 z (*.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 5 binary64))) z) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) |
(*.f64 x (fma.f64 z (*.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 5 binary64))) z) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) |
(*.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64))) (*.f64 z x)) |
(*.f64 (*.f64 z z) x) |
(*.f64 z z) |
z |
x |
(pow.f64 y #s(literal 5 binary64)) |
y |
#s(literal 5 binary64) |
#s(literal -1/16 binary64) |
(*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64)) |
(*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 x (pow.f64 y #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -1/8 binary64) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(/.f64 x y) |
#s(literal -1/2 binary64) |
(*.f64 x y) |
(*.f64 y x) |
(*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y))) |
(*.f64 #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y)) x) |
x |
#s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y)) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y) |
(/.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
#s(literal -1/2 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0.0234375 | (*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y))) | |
| accuracy | 0.25234093134227503 | #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y)) | |
| accuracy | 8.602234267191227 | (/.f64 (*.f64 z z) y) | |
| accuracy | 6.809774080301386 | (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y)) | |
| accuracy | 7.4684185184814975 | (*.f64 (*.f64 z z) x) | |
| accuracy | 11.969109650130306 | (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) | |
| accuracy | 13.404314135610173 | (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) | |
| accuracy | 0.25085588846872114 | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1/2 binary64) (*.f64 x y))) | |
| accuracy | 0.6054687500000001 | (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1/2 binary64) (*.f64 x y)) | |
| accuracy | 6.746920900457773 | (/.f64 (*.f64 (*.f64 z z) x) y) | |
| accuracy | 7.4684185184814975 | (*.f64 (*.f64 z z) x) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.6947426565200974 | #s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) |
| 64.0ms | 256× | 0 | valid |
Compiled 560 to 71 computations (87.3% saved)
ival-mult: 20.0ms (48.3% of total)ival-div: 8.0ms (19.3% of total)ival-add: 5.0ms (12.1% of total)ival-pow: 5.0ms (12.1% of total)ival-sqrt: 2.0ms (4.8% of total)ival-sub: 1.0ms (2.4% of total)exact: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) |
(*.f64 x y) |
(fma.f64 (/.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1/2 binary64) (*.f64 x y)) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1/2 binary64) (*.f64 x y))) |
(/.f64 (*.f64 (*.f64 z z) x) y) |
(*.f64 (*.f64 z z) x) |
(fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) |
(*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y))) |
#s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y)) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y) |
(/.f64 (*.f64 z z) y) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y)) |
(*.f64 z z) |
| Outputs |
|---|
(* x (sqrt (- (pow y 2) (pow z 2)))) |
(* x y) |
(* x (+ y (* -1/2 (/ (pow z 2) y)))) |
(/ (* x (pow z 2)) y) |
(* x (pow z 2)) |
(* x (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) |
(* x (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ (* x (pow z 2)) (pow y 5)) |
(* x (+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ (pow z 2) y))))) |
(* -1 (* x (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3)))))) |
(* -1 (* x (+ (* (pow z 2) (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(* -1 (* x (+ (* -1 y) (* (pow z 2) (+ (* (pow z 2) (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))) |
(* x (* z (sqrt -1))) |
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1)))) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1))))))) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5))))))))) |
(* -1/2 (/ (* x (pow z 2)) y)) |
(/ (+ (* -1/2 (* x (pow z 2))) (* x (pow y 2))) y) |
(* -1/16 (/ (* x (pow z 2)) (pow y 5))) |
(/ (+ (* -1/8 (* x (pow y 2))) (* -1/16 (* x (pow z 2)))) (pow y 5)) |
(* -1/16 (/ (* x (pow z 4)) (pow y 5))) |
(/ (+ (* -1/8 (* x (* (pow y 2) (pow z 2)))) (* -1/16 (* x (pow z 4)))) (pow y 5)) |
(/ (+ (* -1/16 (* x (pow z 4))) (* (pow y 2) (+ (* -1/2 (* x (pow y 2))) (* -1/8 (* x (pow z 2)))))) (pow y 5)) |
(* z (sqrt -1)) |
(+ (* 1/2 (/ (pow y 2) (* z (sqrt -1)))) (* z (sqrt -1))) |
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* z (sqrt -1))))))) |
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (* (pow z 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow z 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* z (sqrt -1))))))) |
(* -1/2 (/ (pow z 2) y)) |
(/ (+ (* -1/2 (pow z 2)) (pow y 2)) y) |
(/ (pow z 2) y) |
(* -1/16 (/ (* x (pow z 6)) (pow y 5))) |
(/ (+ (* -1/8 (* x (* (pow y 2) (pow z 4)))) (* -1/16 (* x (pow z 6)))) (pow y 5)) |
(/ (+ (* -1/16 (* x (pow z 6))) (* (pow y 2) (+ (* -1/2 (* x (* (pow y 2) (pow z 2)))) (* -1/8 (* x (pow z 4)))))) (pow y 5)) |
(/ (+ (* -1/16 (* x (pow z 6))) (* (pow y 2) (+ (* -1/8 (* x (pow z 4))) (* (pow y 2) (+ (* -1/2 (* x (pow z 2))) (* x (pow y 2))))))) (pow y 5)) |
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) |
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))) |
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))) |
(* -1/8 (/ x (pow y 3))) |
(/ (+ (* -1/8 x) (* -1/16 (/ (* x (pow z 2)) (pow y 2)))) (pow y 3)) |
(* -1/2 (/ x y)) |
(/ (+ (* -1/2 x) (* -1/8 (/ (* x (pow z 2)) (pow y 2)))) y) |
(/ (+ (* -1/2 x) (+ (* -1/8 (/ (* x (pow z 2)) (pow y 2))) (* -1/16 (/ (* x (pow z 4)) (pow y 4))))) y) |
y |
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2))))) |
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4)))))) |
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6))))))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))) |
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))) |
(* -1 (* y (+ (* -1 x) (* 1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(* -1 (/ (+ (* 1/16 (/ (* x (pow z 2)) (pow y 2))) (* 1/8 x)) (pow y 3))) |
(* -1 (/ (+ (* 1/8 (/ (* x (pow z 2)) (pow y 2))) (* 1/2 x)) y)) |
(* -1 (/ (+ (* 1/16 (/ (* x (pow z 4)) (pow y 4))) (+ (* 1/8 (/ (* x (pow z 2)) (pow y 2))) (* 1/2 x))) y)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))) |
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4))))))) |
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6)))))))) |
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1))) |
(* -1 (* y (+ (* -1 x) (+ (* 1/8 (/ (* x (pow z 4)) (pow y 4))) (* 1/2 (/ (* x (pow z 2)) (pow y 2))))))) |
(* -1 (* y (+ (* -1 x) (+ (* 1/16 (/ (* x (pow z 6)) (pow y 6))) (+ (* 1/8 (/ (* x (pow z 4)) (pow y 4))) (* 1/2 (/ (* x (pow z 2)) (pow y 2)))))))) |
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y)) |
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))))) |
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))))) |
(+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))) |
(+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))) |
(+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))) |
(+ y (* -1/2 (/ (pow z 2) y))) |
(+ y (* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(pow z 2) |
(* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))) |
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(* (pow z 2) (+ (* -1/2 (/ x y)) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5))))) |
(* (pow z 4) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5))))) |
(* (pow z 4) (+ (* -1/2 (/ x (* y (pow z 4)))) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5)))))) |
(* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))) |
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) |
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) |
(* (pow z 2) (- (/ y (pow z 2)) (* 1/2 (/ 1 y)))) |
(* (pow z 6) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5))))) |
(* (pow z 6) (+ (* -1/2 (/ x (* y (pow z 4)))) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5)))))) |
(* (pow z 6) (+ (* -1/2 (/ x (* y (pow z 4)))) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (+ (* -1/16 (/ x (pow y 5))) (/ (* x y) (pow z 6)))))) |
(* -1 (* x (* z (sqrt -1)))) |
(* -1 (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))) |
(* -1 (* z (sqrt -1))) |
(* -1 (* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) |
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) |
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | 0 | ((* x (sqrt (- (* y y) (* z z)))) (* x y) (+ (* (/ (* (* z z) x) y) -1/2) (* x y)) (* x (sqrt (- (* y y) (* z z)))) (/ (* (* z z) x) y) (* (* z z) x) (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* x (sqrt (- (* y y) (* z z)))) (+ (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z)) (* (/ x y) -1/2)) (/ (* (* z z) x) (pow y 5)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (/ (* z z) y) -1/2) y) (/ (* z z) y) (+ (* (+ (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z)) (* (/ x y) -1/2)) (* z z)) (* x y)) (* z z)) |
| 8.0ms | x | @ | 0 | ((* x (sqrt (- (* y y) (* z z)))) (* x y) (+ (* (/ (* (* z z) x) y) -1/2) (* x y)) (* x (sqrt (- (* y y) (* z z)))) (/ (* (* z z) x) y) (* (* z z) x) (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* x (sqrt (- (* y y) (* z z)))) (+ (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z)) (* (/ x y) -1/2)) (/ (* (* z z) x) (pow y 5)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (/ (* z z) y) -1/2) y) (/ (* z z) y) (+ (* (+ (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z)) (* (/ x y) -1/2)) (* z z)) (* x y)) (* z z)) |
| 6.0ms | x | @ | -inf | ((* x (sqrt (- (* y y) (* z z)))) (* x y) (+ (* (/ (* (* z z) x) y) -1/2) (* x y)) (* x (sqrt (- (* y y) (* z z)))) (/ (* (* z z) x) y) (* (* z z) x) (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* x (sqrt (- (* y y) (* z z)))) (+ (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z)) (* (/ x y) -1/2)) (/ (* (* z z) x) (pow y 5)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (/ (* z z) y) -1/2) y) (/ (* z z) y) (+ (* (+ (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z)) (* (/ x y) -1/2)) (* z z)) (* x y)) (* z z)) |
| 5.0ms | x | @ | inf | ((* x (sqrt (- (* y y) (* z z)))) (* x y) (+ (* (/ (* (* z z) x) y) -1/2) (* x y)) (* x (sqrt (- (* y y) (* z z)))) (/ (* (* z z) x) y) (* (* z z) x) (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* x (sqrt (- (* y y) (* z z)))) (+ (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z)) (* (/ x y) -1/2)) (/ (* (* z z) x) (pow y 5)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (/ (* z z) y) -1/2) y) (/ (* z z) y) (+ (* (+ (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z)) (* (/ x y) -1/2)) (* z z)) (* x y)) (* z z)) |
| 4.0ms | z | @ | 0 | ((* x (sqrt (- (* y y) (* z z)))) (* x y) (+ (* (/ (* (* z z) x) y) -1/2) (* x y)) (* x (sqrt (- (* y y) (* z z)))) (/ (* (* z z) x) y) (* (* z z) x) (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* x (sqrt (- (* y y) (* z z)))) (+ (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z)) (* (/ x y) -1/2)) (/ (* (* z z) x) (pow y 5)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (/ (* z z) y) -1/2) y) (/ (* z z) y) (+ (* (+ (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z)) (* (/ x y) -1/2)) (* z z)) (* x y)) (* z z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 331 | 2063 |
| 0 | 1187 | 1958 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(* x (sqrt (- (pow y 2) (pow z 2)))) |
(* x y) |
(* x (+ y (* -1/2 (/ (pow z 2) y)))) |
(/ (* x (pow z 2)) y) |
(* x (pow z 2)) |
(* x (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) |
(* x (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ (* x (pow z 2)) (pow y 5)) |
(* x (+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ (pow z 2) y))))) |
(* -1 (* x (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3)))))) |
(* -1 (* x (+ (* (pow z 2) (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(* -1 (* x (+ (* -1 y) (* (pow z 2) (+ (* (pow z 2) (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))) |
(* x (* z (sqrt -1))) |
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1)))) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1))))))) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5))))))))) |
(* -1/2 (/ (* x (pow z 2)) y)) |
(/ (+ (* -1/2 (* x (pow z 2))) (* x (pow y 2))) y) |
(* -1/16 (/ (* x (pow z 2)) (pow y 5))) |
(/ (+ (* -1/8 (* x (pow y 2))) (* -1/16 (* x (pow z 2)))) (pow y 5)) |
(* -1/16 (/ (* x (pow z 4)) (pow y 5))) |
(/ (+ (* -1/8 (* x (* (pow y 2) (pow z 2)))) (* -1/16 (* x (pow z 4)))) (pow y 5)) |
(/ (+ (* -1/16 (* x (pow z 4))) (* (pow y 2) (+ (* -1/2 (* x (pow y 2))) (* -1/8 (* x (pow z 2)))))) (pow y 5)) |
(* z (sqrt -1)) |
(+ (* 1/2 (/ (pow y 2) (* z (sqrt -1)))) (* z (sqrt -1))) |
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* z (sqrt -1))))))) |
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (* (pow z 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow z 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* z (sqrt -1))))))) |
(* -1/2 (/ (pow z 2) y)) |
(/ (+ (* -1/2 (pow z 2)) (pow y 2)) y) |
(/ (pow z 2) y) |
(* -1/16 (/ (* x (pow z 6)) (pow y 5))) |
(/ (+ (* -1/8 (* x (* (pow y 2) (pow z 4)))) (* -1/16 (* x (pow z 6)))) (pow y 5)) |
(/ (+ (* -1/16 (* x (pow z 6))) (* (pow y 2) (+ (* -1/2 (* x (* (pow y 2) (pow z 2)))) (* -1/8 (* x (pow z 4)))))) (pow y 5)) |
(/ (+ (* -1/16 (* x (pow z 6))) (* (pow y 2) (+ (* -1/8 (* x (pow z 4))) (* (pow y 2) (+ (* -1/2 (* x (pow z 2))) (* x (pow y 2))))))) (pow y 5)) |
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) |
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))) |
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))) |
(* -1/8 (/ x (pow y 3))) |
(/ (+ (* -1/8 x) (* -1/16 (/ (* x (pow z 2)) (pow y 2)))) (pow y 3)) |
(* -1/2 (/ x y)) |
(/ (+ (* -1/2 x) (* -1/8 (/ (* x (pow z 2)) (pow y 2)))) y) |
(/ (+ (* -1/2 x) (+ (* -1/8 (/ (* x (pow z 2)) (pow y 2))) (* -1/16 (/ (* x (pow z 4)) (pow y 4))))) y) |
y |
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2))))) |
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4)))))) |
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6))))))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))) |
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))) |
(* -1 (* y (+ (* -1 x) (* 1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(* -1 (/ (+ (* 1/16 (/ (* x (pow z 2)) (pow y 2))) (* 1/8 x)) (pow y 3))) |
(* -1 (/ (+ (* 1/8 (/ (* x (pow z 2)) (pow y 2))) (* 1/2 x)) y)) |
(* -1 (/ (+ (* 1/16 (/ (* x (pow z 4)) (pow y 4))) (+ (* 1/8 (/ (* x (pow z 2)) (pow y 2))) (* 1/2 x))) y)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))) |
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4))))))) |
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6)))))))) |
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1))) |
(* -1 (* y (+ (* -1 x) (+ (* 1/8 (/ (* x (pow z 4)) (pow y 4))) (* 1/2 (/ (* x (pow z 2)) (pow y 2))))))) |
(* -1 (* y (+ (* -1 x) (+ (* 1/16 (/ (* x (pow z 6)) (pow y 6))) (+ (* 1/8 (/ (* x (pow z 4)) (pow y 4))) (* 1/2 (/ (* x (pow z 2)) (pow y 2)))))))) |
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y)) |
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))))) |
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))))) |
(+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))) |
(+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))) |
(+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))) |
(+ y (* -1/2 (/ (pow z 2) y))) |
(+ y (* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(pow z 2) |
(* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))) |
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(* (pow z 2) (+ (* -1/2 (/ x y)) (/ (* x y) (pow z 2)))) |
(* (pow z 2) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5))))) |
(* (pow z 4) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5))))) |
(* (pow z 4) (+ (* -1/2 (/ x (* y (pow z 4)))) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5)))))) |
(* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))) |
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) |
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) |
(* (pow z 2) (- (/ y (pow z 2)) (* 1/2 (/ 1 y)))) |
(* (pow z 6) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5))))) |
(* (pow z 6) (+ (* -1/2 (/ x (* y (pow z 4)))) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5)))))) |
(* (pow z 6) (+ (* -1/2 (/ x (* y (pow z 4)))) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (+ (* -1/16 (/ x (pow y 5))) (/ (* x y) (pow z 6)))))) |
(* -1 (* x (* z (sqrt -1)))) |
(* -1 (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))) |
(* -1 (* z (sqrt -1))) |
(* -1 (* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) |
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) |
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))) |
| Outputs |
|---|
(* x (sqrt (- (pow y 2) (pow z 2)))) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* -1/2 (/ (pow z 2) y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y) x) |
(/ (* x (pow z 2)) y) |
(*.f64 x (/.f64 (*.f64 z z) y)) |
(* x (pow z 2)) |
(*.f64 (*.f64 z z) x) |
(* x (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) x) |
(* x (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) y)) x) |
(/ (* x (pow z 2)) (pow y 5)) |
(/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) |
(* x (+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z z) y) x) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ (pow z 2) y))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) (neg.f64 y))) |
(* -1 (* x (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3)))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 z z) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(* -1 (* x (+ (* (pow z 2) (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 z z) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z) (/.f64 #s(literal 1/2 binary64) y))) |
(* -1 (* x (+ (* -1 y) (* (pow z 2) (+ (* (pow z 2) (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))) |
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 z z) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z z) (neg.f64 y))) |
(* x (* z (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) x) |
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1)))) |
(fma.f64 (*.f64 x z) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z))) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1))))))) |
(fma.f64 (*.f64 x z) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x)) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) #s(literal 3 binary64)))) (*.f64 y y))) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5))))))))) |
(fma.f64 (*.f64 x z) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 x (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 y y) (*.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) #s(literal 1/2 binary64))) (*.f64 y y))) |
(* -1/2 (/ (* x (pow z 2)) y)) |
(*.f64 (*.f64 x (/.f64 (*.f64 z z) y)) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (* x (pow z 2))) (* x (pow y 2))) y) |
(/.f64 (fma.f64 (*.f64 (*.f64 z z) x) #s(literal -1/2 binary64) (*.f64 (*.f64 y y) x)) y) |
(* -1/16 (/ (* x (pow z 2)) (pow y 5))) |
(/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x)) (pow.f64 y #s(literal 5 binary64))) |
(/ (+ (* -1/8 (* x (pow y 2))) (* -1/16 (* x (pow z 2)))) (pow y 5)) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64))) |
(* -1/16 (/ (* x (pow z 4)) (pow y 5))) |
(/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) x) #s(literal -1/16 binary64)) (pow.f64 y #s(literal 5 binary64))) |
(/ (+ (* -1/8 (* x (* (pow y 2) (pow z 2)))) (* -1/16 (* x (pow z 4)))) (pow y 5)) |
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(*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z)))) (sqrt.f64 #s(literal -1 binary64))) z) |
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 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) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))))) (sqrt.f64 #s(literal -1 binary64))) z) |
(* (pow z 2) (- (/ y (pow z 2)) (* 1/2 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z z)) |
(* (pow z 6) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5))))) |
(*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z z)))) (pow.f64 z #s(literal 6 binary64))) |
(* (pow z 6) (+ (* -1/2 (/ x (* y (pow z 4)))) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5)))))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 x (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z z))))) (pow.f64 z #s(literal 6 binary64))) |
(* (pow z 6) (+ (* -1/2 (/ x (* y (pow z 4)))) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (+ (* -1/16 (/ x (pow y 5))) (/ (* x y) (pow z 6)))))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 z z)) #s(literal -1/8 binary64) (fma.f64 (/.f64 x (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 x (/.f64 y (pow.f64 z #s(literal 6 binary64))))))) (pow.f64 z #s(literal 6 binary64))) |
(* -1 (* x (* z (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) |
(* -1 (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) z)) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) z)) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) (*.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 (*.f64 (*.f64 y y) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))) z)) |
(* -1 (* z (sqrt -1))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) |
(* -1 (* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) z)) |
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) |
(neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z)))) (sqrt.f64 #s(literal -1 binary64))) z)) |
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))) |
(neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 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) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))))) (sqrt.f64 #s(literal -1 binary64))) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 249 |
| 0 | 58 | 249 |
| 1 | 237 | 249 |
| 2 | 1995 | 249 |
| 0 | 8667 | 249 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) |
(*.f64 x y) |
(fma.f64 (/.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1/2 binary64) (*.f64 x y)) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1/2 binary64) (*.f64 x y))) |
(/.f64 (*.f64 (*.f64 z z) x) y) |
(*.f64 (*.f64 z z) x) |
(fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) |
(*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y))) |
#s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y)) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y) |
(/.f64 (*.f64 z z) y) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y)) |
(*.f64 z z) |
| Outputs |
|---|
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z z)) (/.f64 x y) (*.f64 (neg.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 y (*.f64 z z)) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z z)) (/.f64 x y) (*.f64 (neg.f64 y) x)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 y (*.f64 z z)) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y))))) (fma.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 y (*.f64 z z)) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)) (*.f64 (neg.f64 x) y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z z)) (/.f64 x y) (*.f64 (neg.f64 y) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 y (*.f64 z z)) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z z)) (/.f64 x y) (*.f64 (neg.f64 y) x))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z z)) (/.f64 x y) (*.f64 (neg.f64 y) x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z z)) (/.f64 x y) (*.f64 (neg.f64 y) x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z z)) (/.f64 x y) (*.f64 (neg.f64 y) x)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (/.f64 y (*.f64 z z)) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y))))) (*.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 y (*.f64 z z)) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y))))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 y (*.f64 z z)) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y))))) (fma.f64 (pow.f64 (/.f64 (/.f64 y (*.f64 z z)) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 (/.f64 y (*.f64 z z)) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)) (*.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z z)) (/.f64 x y) (*.f64 (neg.f64 y) x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)) y) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 y (*.f64 z z)) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z z)) (/.f64 x y) (*.f64 (neg.f64 y) x)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 y (*.f64 z z)) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y))))) (fma.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z z)) (/.f64 x y) (*.f64 (neg.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z z)) (/.f64 x y) (*.f64 (neg.f64 y) x)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 y (*.f64 z z)) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y))))) (fma.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)) y) x)))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 y x) #s(literal -3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 (/.f64 y (*.f64 z z)) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 z z) x) y)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) z) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y) (*.f64 (neg.f64 (neg.f64 x)) y)) |
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(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) z) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y) (*.f64 y x)) |
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(fma.f64 y x (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z))) |
(fma.f64 x y (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z)))) (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (*.f64 y x) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z)) (*.f64 (neg.f64 x) y))))) (/.f64 (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z)) (*.f64 (neg.f64 x) y)))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 (neg.f64 y) x)))) |
(-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z)) (*.f64 (neg.f64 y) x)) |
(-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z)) (*.f64 (neg.f64 x) y)) |
(-.f64 (*.f64 y x) (*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) z)) z)) |
(-.f64 (*.f64 y x) (*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (*.f64 z z))) |
(-.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 z) z) (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z))) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z))) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z)) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(+.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z)) (neg.f64 (*.f64 (neg.f64 x) y))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z)) (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 z z)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(*.f64 (sqrt.f64 (*.f64 (neg.f64 z) z)) (sqrt.f64 (*.f64 (neg.f64 z) z))) |
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (neg.f64 z))) |
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z))) |
(*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z))) |
(*.f64 #s(literal 1 binary64) (*.f64 z z)) |
(*.f64 (neg.f64 z) (neg.f64 z)) |
(*.f64 z z) |
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 z) z)) |
(sqrt.f64 (pow.f64 z #s(literal 4 binary64))) |
(fabs.f64 (-.f64 (*.f64 z z) #s(literal 0 binary64))) |
(fabs.f64 (*.f64 (neg.f64 z) z)) |
(fabs.f64 (*.f64 z z)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))) |
Compiled 49 619 to 4 344 computations (91.2% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 913 | 3 | 916 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 1 | 1 |
| Total | 916 | 5 | 921 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 61.8% | (*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) |
| ▶ | 99.6% | (*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y))) |
| ▶ | 32.7% | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64)))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y))) |
| ▶ | 95.3% | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (*.f64 z (/.f64 (*.f64 z x) y)) #s(literal -1/2 binary64) (*.f64 x y))) |
| ✓ | 98.9% | #s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) |
Compiled 131 to 85 computations (35.1% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 z y) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y)) | |
| cost-diff | 0 | (*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y))) | |
| cost-diff | 0 | #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64)))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64)))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y))) | |
| cost-diff | 320 | (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) | |
| cost-diff | 0 | (/.f64 (*.f64 z x) y) | |
| cost-diff | 0 | (*.f64 z (/.f64 (*.f64 z x) y)) | |
| cost-diff | 0 | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (*.f64 z (/.f64 (*.f64 z x) y)) #s(literal -1/2 binary64) (*.f64 x y))) | |
| cost-diff | 320 | (fma.f64 (*.f64 z (/.f64 (*.f64 z x) y)) #s(literal -1/2 binary64) (*.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 393 |
| 0 | 72 | 393 |
| 1 | 157 | 387 |
| 2 | 500 | 387 |
| 3 | 2112 | 375 |
| 4 | 6838 | 375 |
| 0 | 8210 | 365 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (*.f64 z (/.f64 (*.f64 z x) y)) #s(literal -1/2 binary64) (*.f64 x y))) |
(fma.f64 (*.f64 z (/.f64 (*.f64 z x) y)) #s(literal -1/2 binary64) (*.f64 x y)) |
(*.f64 z (/.f64 (*.f64 z x) y)) |
z |
(/.f64 (*.f64 z x) y) |
(*.f64 z x) |
x |
y |
#s(literal -1/2 binary64) |
(*.f64 x y) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64)))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y))) |
(fma.f64 (fma.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64)))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y)) |
(fma.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64)))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
#s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64)))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) |
#s(literal -1/8 binary64) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
(*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x)) |
#s(literal -1/16 binary64) |
(*.f64 (*.f64 z z) x) |
(*.f64 z z) |
z |
(pow.f64 y #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(/.f64 x y) |
#s(literal -1/2 binary64) |
(*.f64 x y) |
(*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y))) |
x |
#s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y)) |
(fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y) |
(*.f64 (/.f64 z y) z) |
(/.f64 z y) |
z |
y |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (*.f64 z (/.f64 (*.f64 z x) y)) #s(literal -1/2 binary64) (*.f64 x y))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y))) |
(fma.f64 (*.f64 z (/.f64 (*.f64 z x) y)) #s(literal -1/2 binary64) (*.f64 x y)) |
(*.f64 x (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y)) |
(*.f64 z (/.f64 (*.f64 z x) y)) |
(*.f64 (/.f64 (*.f64 z x) y) z) |
z |
(/.f64 (*.f64 z x) y) |
(*.f64 z x) |
x |
y |
#s(literal -1/2 binary64) |
(*.f64 x y) |
(*.f64 y x) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64)))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (fma.f64 (*.f64 z z) #s(literal -1/16 binary64) (*.f64 (*.f64 y y) #s(literal -1/8 binary64))) (/.f64 x (pow.f64 y #s(literal 5 binary64))))) (*.f64 x (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y)))) |
(fma.f64 (fma.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64)))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y)) |
(fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (fma.f64 (*.f64 z z) #s(literal -1/16 binary64) (*.f64 (*.f64 y y) #s(literal -1/8 binary64))) (/.f64 x (pow.f64 y #s(literal 5 binary64))))) (*.f64 x (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y))) |
(fma.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64)))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(fma.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (fma.f64 (*.f64 z z) #s(literal -1/16 binary64) (*.f64 (*.f64 y y) #s(literal -1/8 binary64))) (/.f64 x (pow.f64 y #s(literal 5 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
#s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64)))) |
#s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (fma.f64 (*.f64 z z) #s(literal -1/16 binary64) (*.f64 (*.f64 y y) #s(literal -1/8 binary64))) (/.f64 x (pow.f64 y #s(literal 5 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64))) |
(*.f64 (fma.f64 (*.f64 z z) #s(literal -1/16 binary64) (*.f64 (*.f64 y y) #s(literal -1/8 binary64))) (/.f64 x (pow.f64 y #s(literal 5 binary64)))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) |
(*.f64 (fma.f64 (*.f64 z z) #s(literal -1/16 binary64) (*.f64 (*.f64 y y) #s(literal -1/8 binary64))) x) |
#s(literal -1/8 binary64) |
(*.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
x |
(*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x)) |
(*.f64 (*.f64 (*.f64 z z) x) #s(literal -1/16 binary64)) |
#s(literal -1/16 binary64) |
(*.f64 (*.f64 z z) x) |
(*.f64 z z) |
z |
(pow.f64 y #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(/.f64 x y) |
#s(literal -1/2 binary64) |
(*.f64 x y) |
(*.f64 y x) |
(*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y))) |
(*.f64 #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y)) x) |
x |
#s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y)) |
(fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y) |
(*.f64 (/.f64 z y) z) |
(/.f64 z y) |
z |
y |
#s(literal -1/2 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 0.0234375 | (*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y))) | |
| accuracy | 0.1171875 | (*.f64 (/.f64 z y) z) | |
| accuracy | 0.25234093134227503 | #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y)) | |
| accuracy | 7.402438367707546 | (*.f64 (*.f64 y y) x) | |
| accuracy | 7.4684185184814975 | (*.f64 (*.f64 z z) x) | |
| accuracy | 11.969109650130306 | (fma.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64)))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) | |
| accuracy | 34.699915757218214 | (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64))) | |
| accuracy | 0.25085588846872114 | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (*.f64 z (/.f64 (*.f64 z x) y)) #s(literal -1/2 binary64) (*.f64 x y))) | |
| accuracy | 0.6054687500000001 | (fma.f64 (*.f64 z (/.f64 (*.f64 z x) y)) #s(literal -1/2 binary64) (*.f64 x y)) | |
| accuracy | 2.463035245812267 | (*.f64 z (/.f64 (*.f64 z x) y)) | |
| accuracy | 5.452518581095665 | (/.f64 (*.f64 z x) y) |
| 74.0ms | 256× | 0 | valid |
Compiled 652 to 93 computations (85.7% saved)
ival-mult: 28.0ms (51.7% of total)ival-div: 9.0ms (16.6% of total)ival-add: 6.0ms (11.1% of total)ival-pow: 5.0ms (9.2% of total)ival-sqrt: 3.0ms (5.5% of total)ival-sub: 1.0ms (1.8% of total)exact: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 z (/.f64 (*.f64 z x) y)) #s(literal -1/2 binary64) (*.f64 x y)) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (*.f64 z (/.f64 (*.f64 z x) y)) #s(literal -1/2 binary64) (*.f64 x y))) |
(*.f64 z (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 z x) y) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64)))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y))) |
(fma.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64)))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
#s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64)))) |
(*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y))) |
#s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y)) |
(fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y) |
(*.f64 (/.f64 z y) z) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64))) |
(*.f64 (*.f64 z z) x) |
(*.f64 (*.f64 y y) x) |
(/.f64 z y) |
| Outputs |
|---|
(* x (+ y (* -1/2 (/ (pow z 2) y)))) |
(* x (sqrt (- (pow y 2) (pow z 2)))) |
(/ (* x (pow z 2)) y) |
(/ (* x z) y) |
(* x (+ (* -1/8 (pow y 2)) (* -1/16 (pow z 2)))) |
(* x (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) |
(/ (* x (+ (* -1/8 (pow y 2)) (* -1/16 (pow z 2)))) (pow y 5)) |
(* x (pow z 2)) |
(* x (pow y 2)) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ (pow z 2) y))))) |
(* -1 (* x (+ (* 1/16 (pow z 2)) (* 1/8 (pow y 2))))) |
(* -1 (* x (+ (* (pow z 2) (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(* -1 (* x (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3)))))) |
(* -1 (/ (* x (+ (* 1/16 (pow z 2)) (* 1/8 (pow y 2)))) (pow y 5))) |
(* -1/2 (/ (* x (pow z 2)) y)) |
(/ (+ (* -1/2 (* x (pow z 2))) (* x (pow y 2))) y) |
(* x (* z (sqrt -1))) |
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1)))) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1))))))) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5))))))))) |
(* -1/16 (* x (pow z 2))) |
(+ (* -1/8 (* x (pow y 2))) (* -1/16 (* x (pow z 2)))) |
(* -1/16 (/ (* x (pow z 4)) (pow y 5))) |
(/ (+ (* -1/8 (* x (* (pow y 2) (pow z 2)))) (* -1/16 (* x (pow z 4)))) (pow y 5)) |
(/ (+ (* -1/16 (* x (pow z 4))) (* (pow y 2) (+ (* -1/2 (* x (pow y 2))) (* -1/8 (* x (pow z 2)))))) (pow y 5)) |
(* -1/16 (/ (* x (pow z 2)) (pow y 5))) |
(/ (+ (* -1/8 (* x (pow y 2))) (* -1/16 (* x (pow z 2)))) (pow y 5)) |
(* z (sqrt -1)) |
(+ (* 1/2 (/ (pow y 2) (* z (sqrt -1)))) (* z (sqrt -1))) |
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* z (sqrt -1))))))) |
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (* (pow z 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow z 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* z (sqrt -1))))))) |
(* -1/2 (/ (pow z 2) y)) |
(/ (+ (* -1/2 (pow z 2)) (pow y 2)) y) |
(/ (pow z 2) y) |
(/ z y) |
(* x y) |
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) |
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))) |
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))) |
(* -1/8 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/8 x) (* -1/16 (/ (* x (pow z 2)) (pow y 2))))) |
(* -1/2 (/ x y)) |
(/ (+ (* -1/2 x) (* -1/8 (/ (* x (pow z 2)) (pow y 2)))) y) |
(/ (+ (* -1/2 x) (+ (* -1/8 (/ (* x (pow z 2)) (pow y 2))) (* -1/16 (/ (* x (pow z 4)) (pow y 4))))) y) |
(* -1/8 (/ x (pow y 3))) |
(/ (+ (* -1/8 x) (* -1/16 (/ (* x (pow z 2)) (pow y 2)))) (pow y 3)) |
y |
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2))))) |
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4)))))) |
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6))))))) |
(* -1 (* y (+ (* -1 x) (* 1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))) |
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))) |
(* -1 (/ (+ (* 1/8 (/ (* x (pow z 2)) (pow y 2))) (* 1/2 x)) y)) |
(* -1 (/ (+ (* 1/16 (/ (* x (pow z 4)) (pow y 4))) (+ (* 1/8 (/ (* x (pow z 2)) (pow y 2))) (* 1/2 x))) y)) |
(* -1 (/ (+ (* 1/16 (/ (* x (pow z 2)) (pow y 2))) (* 1/8 x)) (pow y 3))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))) |
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4))))))) |
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6)))))))) |
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1))) |
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y)) |
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))))) |
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))))) |
(+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))) |
(+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))) |
(+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))) |
(+ y (* -1/2 (/ (pow z 2) y))) |
(+ y (* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(* (pow z 2) (+ (* -1/2 (/ x y)) (/ (* x y) (pow z 2)))) |
(* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))) |
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(* (pow z 2) (+ (* -1/8 (/ (* x (pow y 2)) (pow z 2))) (* -1/16 x))) |
(* (pow z 4) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5))))) |
(* (pow z 4) (+ (* -1/2 (/ x (* y (pow z 4)))) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5)))))) |
(* (pow z 2) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5))))) |
(* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))) |
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) |
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) |
(* (pow z 2) (- (/ y (pow z 2)) (* 1/2 (/ 1 y)))) |
(* -1 (* x (* z (sqrt -1)))) |
(* -1 (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))) |
(* -1 (* z (sqrt -1))) |
(* -1 (* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) |
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) |
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((+ (* (* z (/ (* z x) y)) -1/2) (* x y)) (* x (sqrt (- (* y y) (* z z)))) (* z (/ (* z x) y)) (/ (* z x) y) (+ (* -1/8 (* (* y y) x)) (* -1/16 (* (* z z) x))) (* x (sqrt (- (* y y) (* z z)))) (+ (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z)) (* (/ x y) -1/2)) (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* (/ z y) z) -1/2) y) (* (/ z y) z) (/ (+ (* -1/8 (* (* y y) x)) (* -1/16 (* (* z z) x))) (pow y 5)) (* (* z z) x) (* (* y y) x) (/ z y)) |
| 6.0ms | z | @ | 0 | ((+ (* (* z (/ (* z x) y)) -1/2) (* x y)) (* x (sqrt (- (* y y) (* z z)))) (* z (/ (* z x) y)) (/ (* z x) y) (+ (* -1/8 (* (* y y) x)) (* -1/16 (* (* z z) x))) (* x (sqrt (- (* y y) (* z z)))) (+ (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z)) (* (/ x y) -1/2)) (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* (/ z y) z) -1/2) y) (* (/ z y) z) (/ (+ (* -1/8 (* (* y y) x)) (* -1/16 (* (* z z) x))) (pow y 5)) (* (* z z) x) (* (* y y) x) (/ z y)) |
| 5.0ms | x | @ | 0 | ((+ (* (* z (/ (* z x) y)) -1/2) (* x y)) (* x (sqrt (- (* y y) (* z z)))) (* z (/ (* z x) y)) (/ (* z x) y) (+ (* -1/8 (* (* y y) x)) (* -1/16 (* (* z z) x))) (* x (sqrt (- (* y y) (* z z)))) (+ (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z)) (* (/ x y) -1/2)) (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* (/ z y) z) -1/2) y) (* (/ z y) z) (/ (+ (* -1/8 (* (* y y) x)) (* -1/16 (* (* z z) x))) (pow y 5)) (* (* z z) x) (* (* y y) x) (/ z y)) |
| 5.0ms | x | @ | inf | ((+ (* (* z (/ (* z x) y)) -1/2) (* x y)) (* x (sqrt (- (* y y) (* z z)))) (* z (/ (* z x) y)) (/ (* z x) y) (+ (* -1/8 (* (* y y) x)) (* -1/16 (* (* z z) x))) (* x (sqrt (- (* y y) (* z z)))) (+ (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z)) (* (/ x y) -1/2)) (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* (/ z y) z) -1/2) y) (* (/ z y) z) (/ (+ (* -1/8 (* (* y y) x)) (* -1/16 (* (* z z) x))) (pow y 5)) (* (* z z) x) (* (* y y) x) (/ z y)) |
| 4.0ms | y | @ | -inf | ((+ (* (* z (/ (* z x) y)) -1/2) (* x y)) (* x (sqrt (- (* y y) (* z z)))) (* z (/ (* z x) y)) (/ (* z x) y) (+ (* -1/8 (* (* y y) x)) (* -1/16 (* (* z z) x))) (* x (sqrt (- (* y y) (* z z)))) (+ (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z)) (* (/ x y) -1/2)) (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* x (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z))) (+ (* (* (/ z y) z) -1/2) y) (* (/ z y) z) (/ (+ (* -1/8 (* (* y y) x)) (* -1/16 (* (* z z) x))) (pow y 5)) (* (* z z) x) (* (* y y) x) (/ z y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 311 | 1852 |
| 0 | 1085 | 1759 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(* x (+ y (* -1/2 (/ (pow z 2) y)))) |
(* x (sqrt (- (pow y 2) (pow z 2)))) |
(/ (* x (pow z 2)) y) |
(/ (* x z) y) |
(* x (+ (* -1/8 (pow y 2)) (* -1/16 (pow z 2)))) |
(* x (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) |
(/ (* x (+ (* -1/8 (pow y 2)) (* -1/16 (pow z 2)))) (pow y 5)) |
(* x (pow z 2)) |
(* x (pow y 2)) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ (pow z 2) y))))) |
(* -1 (* x (+ (* 1/16 (pow z 2)) (* 1/8 (pow y 2))))) |
(* -1 (* x (+ (* (pow z 2) (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(* -1 (* x (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3)))))) |
(* -1 (/ (* x (+ (* 1/16 (pow z 2)) (* 1/8 (pow y 2)))) (pow y 5))) |
(* -1/2 (/ (* x (pow z 2)) y)) |
(/ (+ (* -1/2 (* x (pow z 2))) (* x (pow y 2))) y) |
(* x (* z (sqrt -1))) |
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1)))) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1))))))) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5))))))))) |
(* -1/16 (* x (pow z 2))) |
(+ (* -1/8 (* x (pow y 2))) (* -1/16 (* x (pow z 2)))) |
(* -1/16 (/ (* x (pow z 4)) (pow y 5))) |
(/ (+ (* -1/8 (* x (* (pow y 2) (pow z 2)))) (* -1/16 (* x (pow z 4)))) (pow y 5)) |
(/ (+ (* -1/16 (* x (pow z 4))) (* (pow y 2) (+ (* -1/2 (* x (pow y 2))) (* -1/8 (* x (pow z 2)))))) (pow y 5)) |
(* -1/16 (/ (* x (pow z 2)) (pow y 5))) |
(/ (+ (* -1/8 (* x (pow y 2))) (* -1/16 (* x (pow z 2)))) (pow y 5)) |
(* z (sqrt -1)) |
(+ (* 1/2 (/ (pow y 2) (* z (sqrt -1)))) (* z (sqrt -1))) |
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* z (sqrt -1))))))) |
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (* (pow z 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow z 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* z (sqrt -1))))))) |
(* -1/2 (/ (pow z 2) y)) |
(/ (+ (* -1/2 (pow z 2)) (pow y 2)) y) |
(/ (pow z 2) y) |
(/ z y) |
(* x y) |
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) |
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))) |
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))) |
(* -1/8 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/8 x) (* -1/16 (/ (* x (pow z 2)) (pow y 2))))) |
(* -1/2 (/ x y)) |
(/ (+ (* -1/2 x) (* -1/8 (/ (* x (pow z 2)) (pow y 2)))) y) |
(/ (+ (* -1/2 x) (+ (* -1/8 (/ (* x (pow z 2)) (pow y 2))) (* -1/16 (/ (* x (pow z 4)) (pow y 4))))) y) |
(* -1/8 (/ x (pow y 3))) |
(/ (+ (* -1/8 x) (* -1/16 (/ (* x (pow z 2)) (pow y 2)))) (pow y 3)) |
y |
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2))))) |
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4)))))) |
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6))))))) |
(* -1 (* y (+ (* -1 x) (* 1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))) |
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))) |
(* -1 (/ (+ (* 1/8 (/ (* x (pow z 2)) (pow y 2))) (* 1/2 x)) y)) |
(* -1 (/ (+ (* 1/16 (/ (* x (pow z 4)) (pow y 4))) (+ (* 1/8 (/ (* x (pow z 2)) (pow y 2))) (* 1/2 x))) y)) |
(* -1 (/ (+ (* 1/16 (/ (* x (pow z 2)) (pow y 2))) (* 1/8 x)) (pow y 3))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))) |
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4))))))) |
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6)))))))) |
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1))) |
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y)) |
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))))) |
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))))) |
(+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))) |
(+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))) |
(+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))) |
(+ y (* -1/2 (/ (pow z 2) y))) |
(+ y (* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(* (pow z 2) (+ (* -1/2 (/ x y)) (/ (* x y) (pow z 2)))) |
(* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))) |
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(* (pow z 2) (+ (* -1/8 (/ (* x (pow y 2)) (pow z 2))) (* -1/16 x))) |
(* (pow z 4) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5))))) |
(* (pow z 4) (+ (* -1/2 (/ x (* y (pow z 4)))) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5)))))) |
(* (pow z 2) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5))))) |
(* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))) |
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) |
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) |
(* (pow z 2) (- (/ y (pow z 2)) (* 1/2 (/ 1 y)))) |
(* -1 (* x (* z (sqrt -1)))) |
(* -1 (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))) |
(* -1 (* z (sqrt -1))) |
(* -1 (* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) |
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) |
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))) |
| Outputs |
|---|
(* x (+ y (* -1/2 (/ (pow z 2) y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y) x) |
(* x (sqrt (- (pow y 2) (pow z 2)))) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) x) |
(/ (* x (pow z 2)) y) |
(*.f64 x (/.f64 (*.f64 z z) y)) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(* x (+ (* -1/8 (pow y 2)) (* -1/16 (pow z 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64))) x) |
(* x (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1/16 binary64)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) y)) x) |
(* x (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1/16 binary64)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) x) |
(/ (* x (+ (* -1/8 (pow y 2)) (* -1/16 (pow z 2)))) (pow y 5)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64))) x) (pow.f64 y #s(literal 5 binary64))) |
(* x (pow z 2)) |
(*.f64 (*.f64 z z) x) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ (pow z 2) y))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) (neg.f64 y))) |
(* -1 (* x (+ (* 1/16 (pow z 2)) (* 1/8 (pow y 2))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/16 binary64) (*.f64 z z) (*.f64 #s(literal 1/8 binary64) (*.f64 y y)))) |
(* -1 (* x (+ (* (pow z 2) (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 z z) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z) (/.f64 #s(literal 1/2 binary64) y))) |
(* -1 (* x (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3)))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 z z) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(* -1 (/ (* x (+ (* 1/16 (pow z 2)) (* 1/8 (pow y 2)))) (pow y 5))) |
(/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/16 binary64) (*.f64 z z) (*.f64 #s(literal 1/8 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 5 binary64))) |
(* -1/2 (/ (* x (pow z 2)) y)) |
(*.f64 (*.f64 x (/.f64 (*.f64 z z) y)) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (* x (pow z 2))) (* x (pow y 2))) y) |
(/.f64 (fma.f64 (*.f64 (*.f64 z z) x) #s(literal -1/2 binary64) (*.f64 (*.f64 y y) x)) y) |
(* x (* z (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) x) |
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) x) z) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) x)) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1))))))) |
(fma.f64 (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/8 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) #s(literal 3 binary64)))) (*.f64 y y) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) x)) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 x (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 y y) (*.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) #s(literal 1/2 binary64))) (*.f64 y y) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) x)) |
(* -1/16 (* x (pow z 2))) |
(*.f64 (*.f64 (*.f64 z z) x) #s(literal -1/16 binary64)) |
(+ (* -1/8 (* x (pow y 2))) (* -1/16 (* x (pow z 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 z z) x) #s(literal -1/16 binary64))) |
(* -1/16 (/ (* x (pow z 4)) (pow y 5))) |
(/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) x) #s(literal -1/16 binary64)) (pow.f64 y #s(literal 5 binary64))) |
(/ (+ (* -1/8 (* x (* (pow y 2) (pow z 2)))) (* -1/16 (* x (pow z 4)))) (pow y 5)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) x) (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 (*.f64 y y) (*.f64 z z)))) (pow.f64 y #s(literal 5 binary64))) |
(/ (+ (* -1/16 (* x (pow z 4))) (* (pow y 2) (+ (* -1/2 (* x (pow y 2))) (* -1/8 (* x (pow z 2)))))) (pow y 5)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) x) (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 z z) x) #s(literal -1/8 binary64))) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64))) |
(* -1/16 (/ (* x (pow z 2)) (pow y 5))) |
(/.f64 (*.f64 (*.f64 (*.f64 z z) x) #s(literal -1/16 binary64)) (pow.f64 y #s(literal 5 binary64))) |
(/ (+ (* -1/8 (* x (pow y 2))) (* -1/16 (* x (pow z 2)))) (pow y 5)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 z z) x) #s(literal -1/16 binary64))) (pow.f64 y #s(literal 5 binary64))) |
(* z (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) z) |
(+ (* 1/2 (/ (pow y 2) (* z (sqrt -1)))) (* z (sqrt -1))) |
(fma.f64 (/.f64 (/.f64 (*.f64 y y) z) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) |
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* -1/8 (/ (pow y 2) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (* z (sqrt -1))))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z))) (*.f64 y y) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) |
(+ (* z (sqrt -1)) (* (pow y 2) (+ (* (pow y 2) (- (* 1/16 (/ (pow y 2) (* (pow z 5) (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (* (pow z 3) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (* z (sqrt -1))))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 y y)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z))) (*.f64 y y) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) |
(* -1/2 (/ (pow z 2) y)) |
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 (pow z 2)) (pow y 2)) y) |
(/.f64 (fma.f64 (*.f64 z z) #s(literal -1/2 binary64) (*.f64 y y)) y) |
(/ (pow z 2) y) |
(/.f64 (*.f64 z z) y) |
(/ z y) |
(/.f64 z y) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)) #s(literal -1/2 binary64) x) y) |
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)) #s(literal -1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)) (pow.f64 y #s(literal 4 binary64)))) y) |
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) x) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)) (pow.f64 y #s(literal 4 binary64))))) x) y) |
(* -1/8 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/8 binary64)) |
(* (pow y 2) (+ (* -1/8 x) (* -1/16 (/ (* x (pow z 2)) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)) #s(literal -1/16 binary64) (*.f64 #s(literal -1/8 binary64) x)) (*.f64 y y)) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(/ (+ (* -1/2 x) (* -1/8 (/ (* x (pow z 2)) (pow y 2)))) y) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) x)) y) |
(/ (+ (* -1/2 x) (+ (* -1/8 (/ (* x (pow z 2)) (pow y 2))) (* -1/16 (/ (* x (pow z 4)) (pow y 4))))) y) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 (*.f64 z z) x) #s(literal -1/8 binary64)) (*.f64 y y)))) y) |
(* -1/8 (/ x (pow y 3))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) |
(/ (+ (* -1/8 x) (* -1/16 (/ (* x (pow z 2)) (pow y 2)))) (pow y 3)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)) #s(literal -1/16 binary64) (*.f64 #s(literal -1/8 binary64) x)) (pow.f64 y #s(literal 3 binary64))) |
y |
(* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 y y)) #s(literal -1/2 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 y y)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) y) |
(* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 y y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64)) y) |
(* -1 (* y (+ (* -1 x) (* 1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)) #s(literal 1/2 binary64) (neg.f64 x))) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)) #s(literal -1/2 binary64) x)) |
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))) |
(*.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)) #s(literal -1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)) (pow.f64 y #s(literal 4 binary64))))) |
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))) |
(*.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) x) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)) (pow.f64 y #s(literal 4 binary64))))) x)) |
(* -1 (/ (+ (* 1/8 (/ (* x (pow z 2)) (pow y 2))) (* 1/2 x)) y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)) |
(* -1 (/ (+ (* 1/16 (/ (* x (pow z 4)) (pow y 4))) (+ (* 1/8 (/ (* x (pow z 2)) (pow y 2))) (* 1/2 x))) y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x))) y)) |
(* -1 (/ (+ (* 1/16 (/ (* x (pow z 2)) (pow y 2))) (* 1/8 x)) (pow y 3))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (*.f64 y y)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) x)) (pow.f64 y #s(literal 3 binary64)))) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1/2 (/ (pow z 2) (pow y 2)))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (*.f64 z z) (*.f64 y y)) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (* -1/8 (/ (pow z 4) (pow y 4))))))) |
(*.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 y y)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))) |
(* -1 (* y (+ 1 (+ (* -1/2 (/ (pow z 2) (pow y 2))) (+ (* -1/8 (/ (pow z 4) (pow y 4))) (* -1/16 (/ (pow z 6) (pow y 6)))))))) |
(*.f64 (neg.f64 y) (+.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 y y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64))) |
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (*.f64 z z) (*.f64 y y)) #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y)) |
(fma.f64 (*.f64 x (/.f64 (*.f64 z z) y)) #s(literal -1/2 binary64) (*.f64 y x)) |
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 y x)) |
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 y x)) |
(+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) |
(+ y (* -1/2 (/ (pow z 2) y))) |
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y) |
(+ y (* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
(fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 z z)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z z) y) |
(+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1/16 binary64)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z z) y) |
(* (pow z 2) (+ (* -1/2 (/ x y)) (/ (* x y) (pow z 2)))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 x (/.f64 y (*.f64 z z)))) (*.f64 z z)) |
(* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) z) |
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) z) |
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) (*.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 (*.f64 (*.f64 y y) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))) z) |
(* (pow z 2) (+ (* -1/8 (/ (* x (pow y 2)) (pow z 2))) (* -1/16 x))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (*.f64 z z)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/16 binary64) x)) (*.f64 z z)) |
(* (pow z 4) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5))))) |
(*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 (*.f64 z z) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 z #s(literal 4 binary64))) |
(* (pow z 4) (+ (* -1/2 (/ x (* y (pow z 4)))) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5)))))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) #s(literal -1/2 binary64) (fma.f64 (/.f64 x (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 (*.f64 z z) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 z #s(literal 4 binary64))) |
(* (pow z 2) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5))))) |
(*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 (*.f64 z z) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z)) |
(* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) z) |
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z)))) (sqrt.f64 #s(literal -1 binary64))) z) |
(* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 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) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))))) (sqrt.f64 #s(literal -1 binary64))) z) |
(* (pow z 2) (- (/ y (pow z 2)) (* 1/2 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z z)) |
(* -1 (* x (* z (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) |
(* -1 (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) z)) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) z)) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) (*.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 (*.f64 (*.f64 y y) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))) z)) |
(* -1 (* z (sqrt -1))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) |
(* -1 (* z (+ (sqrt -1) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) z)) |
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1)))))))) |
(neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z)))) (sqrt.f64 #s(literal -1 binary64))) z)) |
(* -1 (* z (+ (sqrt -1) (+ (* -1/8 (/ (pow y 4) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (pow y 6) (* (pow z 6) (pow (sqrt -1) 5)))) (* 1/2 (/ (pow y 2) (* (pow z 2) (sqrt -1))))))))) |
(neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 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) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 z z))))) (sqrt.f64 #s(literal -1 binary64))) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 291 |
| 0 | 72 | 291 |
| 1 | 288 | 286 |
| 2 | 2342 | 286 |
| 0 | 8324 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 z (/.f64 (*.f64 z x) y)) #s(literal -1/2 binary64) (*.f64 x y)) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (*.f64 z (/.f64 (*.f64 z x) y)) #s(literal -1/2 binary64) (*.f64 x y))) |
(*.f64 z (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 z x) y) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64)))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y))) |
(fma.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64)))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
#s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64)))) |
(*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y))) |
#s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y)) |
(fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y) |
(*.f64 (/.f64 z y) z) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64))) |
(*.f64 (*.f64 z z) x) |
(*.f64 (*.f64 y y) x) |
(/.f64 z y) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))))) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) (*.f64 (neg.f64 x) y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))))) (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))))) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) (*.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) y) x))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))))) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))))) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) y) x)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (neg.f64 (*.f64 (neg.f64 x) y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 y x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) z (*.f64 (neg.f64 (neg.f64 x)) y)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) z (neg.f64 (*.f64 (neg.f64 x) y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) z (*.f64 y x)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z) (neg.f64 (*.f64 (neg.f64 x) y))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z) (*.f64 y x)) |
(fma.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal -1/2 binary64) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(fma.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal -1/2 binary64) (neg.f64 (*.f64 (neg.f64 x) y))) |
(fma.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal -1/2 binary64) (*.f64 y x)) |
(fma.f64 (/.f64 (*.f64 x z) y) (*.f64 #s(literal -1/2 binary64) z) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(fma.f64 (/.f64 (*.f64 x z) y) (*.f64 #s(literal -1/2 binary64) z) (neg.f64 (*.f64 (neg.f64 x) y))) |
(fma.f64 (/.f64 (*.f64 x z) y) (*.f64 #s(literal -1/2 binary64) z) (*.f64 y x)) |
(fma.f64 y x (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))) |
(fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) (neg.f64 (*.f64 (neg.f64 x) y))) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) (*.f64 y x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x)))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) (*.f64 (neg.f64 y) x)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) (*.f64 (neg.f64 x) y)) |
(-.f64 (*.f64 y x) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))) |
(-.f64 (*.f64 y x) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal -1/2 binary64))) |
(-.f64 (*.f64 y x) (*.f64 (neg.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x z) y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) (*.f64 (neg.f64 (neg.f64 x)) y)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) (neg.f64 (*.f64 (neg.f64 x) y))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z) (*.f64 y x))) |
(*.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 z z) (/.f64 x y)) |
(*.f64 (/.f64 (*.f64 x z) y) z) |
(*.f64 (*.f64 x z) (/.f64 z y)) |
(*.f64 x (*.f64 (/.f64 z y) z)) |
(*.f64 z (/.f64 (*.f64 x z) y)) |
(pow.f64 (/.f64 y (*.f64 (*.f64 z z) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 z) x) z)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (/.f64 y (*.f64 x z)))) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) x) z) (neg.f64 y)) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 y (*.f64 x z))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 z) z) x)) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (*.f64 z z) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 z z) x))) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) x) (neg.f64 y)) |
(/.f64 (neg.f64 z) (neg.f64 (/.f64 y (*.f64 x z)))) |
(/.f64 (*.f64 (*.f64 z z) x) y) |
(/.f64 z (/.f64 y (*.f64 x z))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) |
(*.f64 (*.f64 (neg.f64 z) x) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) z) |
(*.f64 (*.f64 x z) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(pow.f64 (/.f64 (/.f64 y (*.f64 x z)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (*.f64 x z)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x z) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) x))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (*.f64 (*.f64 x z) #s(literal 1 binary64)) y) |
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(fma.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1/16 binary64)) (pow.f64 y #s(literal 5/2 binary64))) (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5/2 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 5/2 binary64))) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))))) |
(fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 5/2 binary64))) (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5/2 binary64))) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 5/2 binary64))) (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) (*.f64 (*.f64 (*.f64 z z) #s(literal -1/16 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 y #s(literal 5/2 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 5/2 binary64))) (*.f64 (*.f64 (*.f64 z z) #s(literal -1/16 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 5/2 binary64))) (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 y #s(literal 5/2 binary64))) (*.f64 (*.f64 (*.f64 z z) #s(literal -1/16 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))))) |
(fma.f64 (*.f64 (*.f64 z z) #s(literal -1/16 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))))) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 (*.f64 (*.f64 z z) #s(literal -1/16 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/8 binary64)) (pow.f64 y #s(literal -5 binary64)) (*.f64 (*.f64 (*.f64 z z) #s(literal -1/16 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))))) |
(fma.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 z z)) #s(literal -1/16 binary64) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 z z) x) #s(literal -1/16 binary64)) (pow.f64 y #s(literal -5 binary64)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))))) |
(fma.f64 (*.f64 (*.f64 z z) x) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))))) |
(fma.f64 (*.f64 (*.f64 z z) x) (*.f64 (pow.f64 y #s(literal -5 binary64)) #s(literal -1/16 binary64)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))))) |
(fma.f64 (*.f64 z z) (*.f64 (*.f64 x (pow.f64 y #s(literal -5 binary64))) #s(literal -1/16 binary64)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))))) |
(fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 z z)) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))))) |
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 z z) #s(literal -1/16 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 y #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 z z) #s(literal -1/16 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))))) |
(-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64)))) (*.f64 (neg.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 z z))) #s(literal -1/16 binary64))) |
(-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 y #s(literal -5 binary64))) (*.f64 z z)))) |
(-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 z z) x)) (pow.f64 y #s(literal 5 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64)))) (*.f64 (*.f64 (*.f64 z z) #s(literal -1/16 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -1/16 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64)))) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/8 binary64)) (*.f64 x (pow.f64 y #s(literal -5 binary64))))) |
(*.f64 (*.f64 (neg.f64 z) x) (neg.f64 z)) |
(*.f64 (neg.f64 z) (*.f64 (neg.f64 z) x)) |
(*.f64 (*.f64 z z) x) |
(*.f64 (*.f64 x z) z) |
(*.f64 x (*.f64 z z)) |
(*.f64 z (*.f64 x z)) |
(*.f64 (*.f64 x (neg.f64 y)) (neg.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x)) |
(*.f64 (*.f64 y y) x) |
(*.f64 (*.f64 y x) y) |
(*.f64 y (*.f64 y x)) |
(*.f64 x (*.f64 y y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) z) |
(*.f64 #s(literal 1 binary64) (/.f64 z y)) |
(*.f64 (neg.f64 z) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 z (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (*.f64 z #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y z))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 (neg.f64 z) (neg.f64 y)) |
(/.f64 z y) |
(neg.f64 (/.f64 (neg.f64 z) y)) |
(neg.f64 (/.f64 z (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64))) |
Compiled 31 396 to 2 836 computations (91% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 512 | 5 | 517 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 2 | 2 |
| Total | 513 | 9 | 522 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 61.8% | (*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) |
| ✓ | 99.6% | (*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y))) |
| ▶ | 32.7% | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z))) (*.f64 z z) (*.f64 x y))) |
| ✓ | 95.3% | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (*.f64 z (/.f64 (*.f64 z x) y)) #s(literal -1/2 binary64) (*.f64 x y))) |
| ▶ | 95.3% | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (*.f64 z (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)))) #s(literal -1/2 binary64) (*.f64 x y))) |
| ▶ | 95.3% | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)))) |
| ▶ | 47.0% | #s(approx (* x (sqrt (- (* y y) (* z z)))) (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))))) |
| ▶ | 47.0% | #s(approx (* x (sqrt (- (* y y) (* z z)))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))))) |
| ✓ | 98.9% | #s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) |
Compiled 488 to 282 computations (42.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) | |
| cost-diff | 0 | #s(approx (* x (sqrt (- (* y y) (* z z)))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))))) | |
| cost-diff | 320 | (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x)) | |
| cost-diff | 18176 | (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x)))) | |
| cost-diff | 0 | (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (* x (sqrt (- (* y y) (* z z)))) (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))))) | |
| cost-diff | 320 | (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))) | |
| cost-diff | 15616 | (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)))) | |
| cost-diff | 0 | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (*.f64 z (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)))) #s(literal -1/2 binary64) (*.f64 x y))) | |
| cost-diff | 192 | (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)) | |
| cost-diff | 6080 | (*.f64 z (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)))) | |
| cost-diff | 6464 | (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z))) | |
| cost-diff | 0 | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z))) (*.f64 z z) (*.f64 x y))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 x z) y) z) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) | |
| cost-diff | 0 | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)))) | |
| cost-diff | 320 | (fma.f64 y x (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 823 |
| 0 | 107 | 787 |
| 1 | 245 | 786 |
| 2 | 770 | 762 |
| 3 | 3979 | 698 |
| 0 | 8619 | 687 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)))) |
(fma.f64 y x (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))) |
y |
x |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 (*.f64 x z) y) z) |
(/.f64 (*.f64 x z) y) |
(*.f64 x z) |
z |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z))) (*.f64 z z) (*.f64 x y))) |
(fma.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z))) (*.f64 z z) (*.f64 x y)) |
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z))) |
(/.f64 x y) |
x |
y |
#s(literal -1/2 binary64) |
(*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z)) |
#s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) |
(*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64))))) |
(pow.f64 y #s(literal -5 binary64)) |
#s(literal -5 binary64) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))) |
(fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64))) |
(*.f64 y y) |
#s(literal -1/8 binary64) |
(*.f64 (*.f64 z z) #s(literal -1/16 binary64)) |
(*.f64 z z) |
z |
#s(literal -1/16 binary64) |
(*.f64 x y) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (*.f64 z (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)))) #s(literal -1/2 binary64) (*.f64 x y))) |
(fma.f64 (*.f64 z (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)))) #s(literal -1/2 binary64) (*.f64 x y)) |
(*.f64 z (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)))) |
z |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)) |
(log.f64 (/.f64 y (*.f64 x z))) |
(/.f64 y (*.f64 x z)) |
y |
(*.f64 x z) |
x |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
(*.f64 x y) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)))) |
(-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 (*.f64 x z) y) z) |
(/.f64 (*.f64 x z) y) |
(*.f64 x z) |
z |
(-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x)))) |
(/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) |
(pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 (*.f64 x z) y) z) |
(/.f64 (*.f64 x z) y) |
(*.f64 x z) |
x |
z |
y |
#s(literal 2 binary64) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x)) |
(*.f64 #s(literal -1/2 binary64) z) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 y x) |
| Outputs |
|---|
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y))) |
(fma.f64 y x (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))) |
(*.f64 x (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y)) |
y |
x |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) |
(*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 (*.f64 x z) y) z) |
(*.f64 (/.f64 (*.f64 z x) y) z) |
(/.f64 (*.f64 x z) y) |
(/.f64 (*.f64 z x) y) |
(*.f64 x z) |
(*.f64 z x) |
z |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z))) (*.f64 z z) (*.f64 x y))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (*.f64 z (pow.f64 z #s(literal 3 binary64))) #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (*.f64 (pow.f64 y #s(literal -5 binary64)) x) (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64))))) (*.f64 x (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y)))) |
(fma.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z))) (*.f64 z z) (*.f64 x y)) |
(fma.f64 (*.f64 z (pow.f64 z #s(literal 3 binary64))) #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (*.f64 (pow.f64 y #s(literal -5 binary64)) x) (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64))))) (*.f64 x (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y))) |
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z))) |
(fma.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (*.f64 (pow.f64 y #s(literal -5 binary64)) x) (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64))))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(/.f64 x y) |
x |
y |
#s(literal -1/2 binary64) |
(*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z)) |
(*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (*.f64 (pow.f64 y #s(literal -5 binary64)) x) (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64))))) (*.f64 z z)) |
#s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) |
#s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (*.f64 (pow.f64 y #s(literal -5 binary64)) x) (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64))))) |
(*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64))))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -5 binary64)) x) (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))) |
(pow.f64 y #s(literal -5 binary64)) |
#s(literal -5 binary64) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64))) x) |
(fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64))) |
(*.f64 y y) |
#s(literal -1/8 binary64) |
(*.f64 (*.f64 z z) #s(literal -1/16 binary64)) |
(*.f64 z z) |
z |
#s(literal -1/16 binary64) |
(*.f64 x y) |
(*.f64 y x) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (*.f64 z (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)))) #s(literal -1/2 binary64) (*.f64 x y))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z x))) z (*.f64 y x))) |
(fma.f64 (*.f64 z (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)))) #s(literal -1/2 binary64) (*.f64 x y)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z x))) z (*.f64 y x)) |
(*.f64 z (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)))) |
(/.f64 z (/.f64 y (*.f64 z x))) |
z |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 y (*.f64 z x)) #s(literal -1 binary64)) |
(*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)) |
(neg.f64 (log.f64 (/.f64 y (*.f64 z x)))) |
(log.f64 (/.f64 y (*.f64 x z))) |
(log.f64 (/.f64 y (*.f64 z x))) |
(/.f64 y (*.f64 x z)) |
(/.f64 y (*.f64 z x)) |
y |
(*.f64 x z) |
(*.f64 z x) |
x |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
(*.f64 x y) |
(*.f64 y x) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 (*.f64 x (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y)) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) |
(*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 (*.f64 x z) y) z) |
(*.f64 (/.f64 (*.f64 z x) y) z) |
(/.f64 (*.f64 x z) y) |
(/.f64 (*.f64 z x) y) |
(*.f64 x z) |
(*.f64 z x) |
z |
(-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))) |
(*.f64 x (-.f64 y (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 (*.f64 x (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x)))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y)) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) |
(/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) (neg.f64 y)))) |
(pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) |
(*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 (/.f64 (*.f64 x z) y) z) |
(*.f64 (/.f64 (*.f64 z x) y) z) |
(/.f64 (*.f64 x z) y) |
(/.f64 (*.f64 z x) y) |
(*.f64 x z) |
(*.f64 z x) |
x |
z |
y |
#s(literal 2 binary64) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x)) |
(*.f64 x (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) (neg.f64 y))) |
(*.f64 #s(literal -1/2 binary64) z) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
(/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) |
(/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) (neg.f64 y)))) |
(pow.f64 (*.f64 y x) #s(literal 2 binary64)) |
(*.f64 y x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.463035245812267 | (*.f64 (/.f64 (*.f64 x z) y) z) | |
| accuracy | 5.452518581095665 | (/.f64 (*.f64 x z) y) | |
| accuracy | 8.970886084770932 | (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) | |
| accuracy | 33.77008694433899 | (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) | |
| accuracy | 2.463035245812267 | (*.f64 (/.f64 (*.f64 x z) y) z) | |
| accuracy | 3.3867187500000004 | (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64))) | |
| accuracy | 5.452518581095665 | (/.f64 (*.f64 x z) y) | |
| accuracy | 31.383687830360216 | (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)))) | |
| accuracy | 2.463035245812267 | (*.f64 z (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)))) | |
| accuracy | 3.601901524187141 | (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64))) | |
| accuracy | 5.345276539537418 | (/.f64 y (*.f64 x z)) | |
| accuracy | 20.100900321429076 | (log.f64 (/.f64 y (*.f64 x z))) | |
| accuracy | 6.809774080301386 | (fma.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z))) (*.f64 z z) (*.f64 x y)) | |
| accuracy | 7.416547549033523 | (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))) | |
| accuracy | 15.285727432165581 | (*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z)) | |
| accuracy | 34.58610874632206 | (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64))))) | |
| accuracy | 0.25085588846872114 | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)))) | |
| accuracy | 0.7499917428166807 | (fma.f64 y x (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))) | |
| accuracy | 2.463035245812267 | (*.f64 (/.f64 (*.f64 x z) y) z) | |
| accuracy | 5.452518581095665 | (/.f64 (*.f64 x z) y) |
| 122.0ms | 256× | 0 | valid |
Compiled 1 432 to 133 computations (90.7% saved)
ival-mult: 38.0ms (43.6% of total)ival-div: 12.0ms (13.8% of total)ival-pow: 8.0ms (9.2% of total)ival-add: 7.0ms (8% of total)ival-exp: 5.0ms (5.7% of total)ival-pow2: 5.0ms (5.7% of total)ival-sub: 4.0ms (4.6% of total)ival-log: 4.0ms (4.6% of total)ival-sqrt: 2.0ms (2.3% of total)exact: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 y x (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) |
(*.f64 (/.f64 (*.f64 x z) y) z) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z))) (*.f64 z z) (*.f64 x y))) |
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z))) |
(/.f64 x y) |
(*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64))) |
(*.f64 z (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)))) |
(*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (*.f64 z (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)))) #s(literal -1/2 binary64) (*.f64 x y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)))) |
(-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))))) |
(-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x)) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))))) |
(/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) |
(/.f64 (*.f64 x z) y) |
(*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64))))) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))) |
(fma.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z))) (*.f64 z z) (*.f64 x y)) |
(log.f64 (/.f64 y (*.f64 x z))) |
(/.f64 y (*.f64 x z)) |
(/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) |
| Outputs |
|---|
(* x (+ y (* -1/2 (/ (pow z 2) y)))) |
(* x (sqrt (- (pow y 2) (pow z 2)))) |
(* -1/2 (/ (* x (pow z 2)) y)) |
(/ (* x (pow z 2)) y) |
(* x (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ x y) |
(* x (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3)))))) |
(/ (* x z) y) |
(* -1 (+ (log (/ y z)) (* -1 (log x)))) |
(/ (* x (- (pow y 2) (* 1/4 (/ (pow z 4) (pow y 2))))) (- y (* -1/2 (/ (pow z 2) y)))) |
(* x (- y (* -1/2 (/ (pow z 2) y)))) |
(* (pow x 2) (- (pow y 2) (* 1/4 (/ (pow z 4) (pow y 2))))) |
(* x (- (* 1/4 (/ (pow z 4) (* (pow y 2) (+ (* -1 y) (* -1/2 (/ (pow z 2) y)))))) (/ (pow y 2) (+ (* -1 y) (* -1/2 (/ (pow z 2) y)))))) |
(* x (+ (* -1 y) (* -1/2 (/ (pow z 2) y)))) |
(* 1/4 (/ (* x (pow z 4)) (* (pow y 2) (+ (* -1 y) (* -1/2 (/ (pow z 2) y)))))) |
(/ (* x (+ (* -1/8 (pow y 2)) (* -1/16 (pow z 2)))) (pow y 5)) |
(* x (+ (* -1/8 (pow y 2)) (* -1/16 (pow z 2)))) |
(* x (+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
(+ (log (/ y z)) (* -1 (log x))) |
(/ y (* x z)) |
(/ (* x (pow y 2)) (+ (* -1 y) (* -1/2 (/ (pow z 2) y)))) |
(* -1 (+ (log (/ 1 x)) (log (/ y z)))) |
(+ (log (/ 1 x)) (log (/ y z))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ (pow z 2) y))))) |
(* -1 (* x (+ (* (pow z 2) (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(* -1 (* x (* (pow z 2) (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))))) |
(* -1 (+ (log (* -1 (/ y z))) (log (/ -1 x)))) |
(* -1 (/ (* x (- (pow y 2) (* 1/4 (/ (pow z 4) (pow y 2))))) (- (* -1 y) (* 1/2 (/ (pow z 2) y))))) |
(* -1 (* x (- (* -1 y) (* 1/2 (/ (pow z 2) y))))) |
(* -1 (* x (- (* 1/4 (/ (pow z 4) (* (pow y 2) (+ y (* 1/2 (/ (pow z 2) y)))))) (/ (pow y 2) (+ y (* 1/2 (/ (pow z 2) y))))))) |
(* -1 (* x (+ y (* 1/2 (/ (pow z 2) y))))) |
(* -1/4 (/ (* x (pow z 4)) (* (pow y 2) (+ y (* 1/2 (/ (pow z 2) y)))))) |
(* -1 (* x (+ (* -1 y) (* (pow z 2) (+ (* (pow z 2) (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))) |
(+ (log (* -1 (/ y z))) (log (/ -1 x))) |
(* -1 (/ (* x (pow y 2)) (+ y (* 1/2 (/ (pow z 2) y))))) |
(/ (+ (* -1/2 (* x (pow z 2))) (* x (pow y 2))) y) |
(* x (* z (sqrt -1))) |
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1)))) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1))))))) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5))))))))) |
(* -1/16 (/ (* x (pow z 4)) (pow y 5))) |
(/ (+ (* -1/8 (* x (* (pow y 2) (pow z 2)))) (* -1/16 (* x (pow z 4)))) (pow y 5)) |
(/ (+ (* -1/16 (* x (pow z 4))) (* (pow y 2) (+ (* -1/2 (* x (pow y 2))) (* -1/8 (* x (pow z 2)))))) (pow y 5)) |
(* -1 (+ (log y) (log (/ 1 (* x z))))) |
(* 1/2 (/ (* x (pow z 2)) y)) |
(/ (- (* x (pow y 2)) (* -1/2 (* x (pow z 2)))) y) |
(* -1/4 (/ (* (pow x 2) (pow z 4)) (pow y 2))) |
(/ (- (* (pow x 2) (pow y 4)) (* 1/4 (* (pow x 2) (pow z 4)))) (pow y 2)) |
(/ (+ (* -1/2 (* x (pow z 2))) (* (pow y 2) (+ x (* (pow y 4) (+ (* -4 (/ x (pow z 4))) (* 4 (/ x (pow z 4)))))))) y) |
(/ (+ (* -1/2 (* x (pow z 2))) (* (pow y 2) (+ x (* (pow y 4) (+ (* -4 (/ x (pow z 4))) (+ (* 4 (/ x (pow z 4))) (* (pow y 2) (+ (* -8 (/ x (pow z 6))) (* 8 (/ x (pow z 6))))))))))) y) |
(/ (+ (* -1 (* x (pow y 2))) (* -1/2 (* x (pow z 2)))) y) |
(/ (+ (* -1/2 (* x (pow z 2))) (* (pow y 2) (+ x (* -2 (/ (* x (pow y 2)) (pow z 2)))))) y) |
(/ (+ (* -1/2 (* x (pow z 2))) (* (pow y 2) (+ x (* (pow y 2) (+ (* -2 (/ x (pow z 2))) (* 4 (/ (* x (pow y 2)) (pow z 4)))))))) y) |
(* -1/16 (/ (* x (pow z 2)) (pow y 5))) |
(/ (+ (* -1/8 (* x (pow y 2))) (* -1/16 (* x (pow z 2)))) (pow y 5)) |
(* -1/16 (* x (pow z 2))) |
(+ (* -1/8 (* x (pow y 2))) (* -1/16 (* x (pow z 2)))) |
(* -1/16 (/ (* x (pow z 6)) (pow y 5))) |
(/ (+ (* -1/8 (* x (* (pow y 2) (pow z 4)))) (* -1/16 (* x (pow z 6)))) (pow y 5)) |
(/ (+ (* -1/16 (* x (pow z 6))) (* (pow y 2) (+ (* -1/2 (* x (* (pow y 2) (pow z 2)))) (* -1/8 (* x (pow z 4)))))) (pow y 5)) |
(/ (+ (* -1/16 (* x (pow z 6))) (* (pow y 2) (+ (* -1/8 (* x (pow z 4))) (* (pow y 2) (+ (* -1/2 (* x (pow z 2))) (* x (pow y 2))))))) (pow y 5)) |
(+ (log y) (log (/ 1 (* x z)))) |
(* -2 (/ (* x (pow y 3)) (pow z 2))) |
(* (pow y 3) (+ (* -2 (/ x (pow z 2))) (* 4 (/ (* x (pow y 2)) (pow z 4))))) |
(* (pow y 3) (+ (* -2 (/ x (pow z 2))) (* (pow y 2) (- (* -8 (/ (* x (pow y 2)) (pow z 6))) (* -4 (/ x (pow z 4))))))) |
(* (pow y 3) (+ (* -2 (/ x (pow z 2))) (* (pow y 2) (- (* (pow y 2) (- (* 16 (/ (* x (pow y 2)) (pow z 8))) (* 8 (/ x (pow z 6))))) (* -4 (/ x (pow z 4))))))) |
(* x y) |
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) |
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))) |
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))) |
(* -1/2 (/ x y)) |
(/ (+ (* -1/2 x) (* -1/8 (/ (* x (pow z 2)) (pow y 2)))) y) |
(/ (+ (* -1/2 x) (+ (* -1/8 (/ (* x (pow z 2)) (pow y 2))) (* -1/16 (/ (* x (pow z 4)) (pow y 4))))) y) |
(* -1/8 (/ (* x (pow z 2)) (pow y 3))) |
(/ (+ (* -1/8 (* x (pow z 2))) (* -1/16 (/ (* x (pow z 4)) (pow y 2)))) (pow y 3)) |
(* -1 (+ (log (/ 1 (* x z))) (* -1 (log (/ 1 y))))) |
(* y (+ x (* 1/2 (/ (* x (pow z 2)) (pow y 2))))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1/4 (/ (* (pow x 2) (pow z 4)) (pow y 4))) (pow x 2))) |
(* y (- (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1 x))) |
(* y (- (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/4 (/ (* x (pow z 4)) (pow y 4))) (* 1/4 (/ (* x (pow z 4)) (pow y 4))))) (* -1 x))) |
(* y (- (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/4 (/ (* x (pow z 4)) (pow y 4))) (+ (* -1/8 (/ (* x (pow z 6)) (pow y 6))) (+ (* 1/8 (/ (* x (pow z 6)) (pow y 6))) (* 1/4 (/ (* x (pow z 4)) (pow y 4))))))) (* -1 x))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) |
(* -1/4 (/ (* x (pow z 4)) (pow y 3))) |
(/ (+ (* -1/4 (* x (pow z 4))) (* 1/8 (/ (* x (pow z 6)) (pow y 2)))) (pow y 3)) |
(/ (+ (* -1/4 (* x (pow z 4))) (+ (* -1/16 (/ (* x (pow z 8)) (pow y 4))) (* 1/8 (/ (* x (pow z 6)) (pow y 2))))) (pow y 3)) |
(/ (+ (* -1/4 (* x (pow z 4))) (+ (* -1/16 (/ (* x (pow z 8)) (pow y 4))) (+ (* 1/32 (/ (* x (pow z 10)) (pow y 6))) (* 1/8 (/ (* x (pow z 6)) (pow y 2)))))) (pow y 3)) |
(* -1/8 (/ x (pow y 3))) |
(/ (+ (* -1/8 x) (* -1/16 (/ (* x (pow z 2)) (pow y 2)))) (pow y 3)) |
(* -1/8 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/8 x) (* -1/16 (/ (* x (pow z 2)) (pow y 2))))) |
(+ (log (/ 1 (* x z))) (* -1 (log (/ 1 y)))) |
(* y (+ (* -1 x) (* 1/2 (/ (* x (pow z 2)) (pow y 2))))) |
(* y (- (+ (* -1 x) (* -1/4 (/ (* x (pow z 4)) (pow y 4)))) (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) |
(* y (- (+ (* -1 x) (* 1/8 (/ (* x (pow z 6)) (pow y 6)))) (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* 1/4 (/ (* x (pow z 4)) (pow y 4)))))) |
(* -1 (* y (+ (* -1 x) (* 1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))) |
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))) |
(* -1 (/ (+ (* 1/8 (/ (* x (pow z 2)) (pow y 2))) (* 1/2 x)) y)) |
(* -1 (/ (+ (* 1/16 (/ (* x (pow z 4)) (pow y 4))) (+ (* 1/8 (/ (* x (pow z 2)) (pow y 2))) (* 1/2 x))) y)) |
(* -1 (/ (+ (* 1/16 (/ (* x (pow z 4)) (pow y 2))) (* 1/8 (* x (pow z 2)))) (pow y 3))) |
(* -1 (+ (log (/ -1 (* x z))) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(* -1 (* y (- (* 1/2 (/ (* x (pow z 2)) (pow y 2))) x))) |
(* -1 (* y (- (+ (* -1/4 (/ (* x (pow z 4)) (pow y 4))) (+ (* 1/4 (/ (* x (pow z 4)) (pow y 4))) (* 1/2 (/ (* x (pow z 2)) (pow y 2))))) x))) |
(* -1 (* y (- (+ (* -1/4 (/ (* x (pow z 4)) (pow y 4))) (+ (* -1/8 (/ (* x (pow z 6)) (pow y 6))) (+ (* 1/8 (/ (* x (pow z 6)) (pow y 6))) (+ (* 1/4 (/ (* x (pow z 4)) (pow y 4))) (* 1/2 (/ (* x (pow z 2)) (pow y 2))))))) x))) |
(* -1 (* y (+ x (* 1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(* -1 (/ (+ (* -1/8 (/ (* x (pow z 6)) (pow y 2))) (* 1/4 (* x (pow z 4)))) (pow y 3))) |
(* -1 (/ (+ (* -1/8 (/ (* x (pow z 6)) (pow y 2))) (+ (* 1/16 (/ (* x (pow z 8)) (pow y 4))) (* 1/4 (* x (pow z 4))))) (pow y 3))) |
(* -1 (/ (+ (* -1/8 (/ (* x (pow z 6)) (pow y 2))) (+ (* -1/32 (/ (* x (pow z 10)) (pow y 6))) (+ (* 1/16 (/ (* x (pow z 8)) (pow y 4))) (* 1/4 (* x (pow z 4)))))) (pow y 3))) |
(* -1 (/ (+ (* 1/16 (/ (* x (pow z 2)) (pow y 2))) (* 1/8 x)) (pow y 3))) |
(* -1 (* y (+ (* -1 x) (+ (* 1/8 (/ (* x (pow z 4)) (pow y 4))) (* 1/2 (/ (* x (pow z 2)) (pow y 2))))))) |
(* -1 (* y (+ (* -1 x) (+ (* 1/16 (/ (* x (pow z 6)) (pow y 6))) (+ (* 1/8 (/ (* x (pow z 4)) (pow y 4))) (* 1/2 (/ (* x (pow z 2)) (pow y 2)))))))) |
(+ (log (/ -1 (* x z))) (* -1 (log (/ -1 y)))) |
(* -1 (* y (- (+ x (* 1/4 (/ (* x (pow z 4)) (pow y 4)))) (* 1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(* -1 (* y (- (+ x (* -1/8 (/ (* x (pow z 6)) (pow y 6)))) (+ (* -1/4 (/ (* x (pow z 4)) (pow y 4))) (* 1/2 (/ (* x (pow z 2)) (pow y 2))))))) |
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y)) |
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))))) |
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))))) |
(+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))) |
(+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))) |
(* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5))))) |
(* -1 (+ (log (/ y x)) (* -1 (log z)))) |
(+ (* 1/2 (/ (* x (pow z 2)) y)) (* x y)) |
(+ (* -1/4 (/ (* (pow x 2) (pow z 4)) (pow y 2))) (* (pow x 2) (pow y 2))) |
(- (* -1/2 (/ (* x (pow z 2)) y)) (* -1 (* x y))) |
(- (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/4 (/ x (pow y 3))) (* 1/4 (/ x (pow y 3))))))) (* -1 (* x y))) |
(- (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/4 (/ x (pow y 3))) (+ (* 1/4 (/ x (pow y 3))) (* (pow z 2) (+ (* -1/8 (/ x (pow y 5))) (* 1/8 (/ x (pow y 5)))))))))) (* -1 (* x y))) |
(+ (* -1 (* x y)) (* -1/2 (/ (* x (pow z 2)) y))) |
(* (pow z 4) (+ (* -1/4 (/ x (pow y 3))) (* 1/8 (/ (* x (pow z 2)) (pow y 5))))) |
(* (pow z 4) (+ (* -1/4 (/ x (pow y 3))) (* (pow z 2) (+ (* -1/16 (/ (* x (pow z 2)) (pow y 7))) (* 1/8 (/ x (pow y 5))))))) |
(* (pow z 4) (+ (* -1/4 (/ x (pow y 3))) (* (pow z 2) (+ (* 1/8 (/ x (pow y 5))) (* (pow z 2) (+ (* -1/16 (/ x (pow y 7))) (* 1/32 (/ (* x (pow z 2)) (pow y 9))))))))) |
(+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))) |
(+ (log (/ y x)) (* -1 (log z))) |
(+ (* -1 (* x y)) (* 1/2 (/ (* x (pow z 2)) y))) |
(+ (* -1 (* x y)) (* (pow z 2) (- (* -1/4 (/ (* x (pow z 2)) (pow y 3))) (* -1/2 (/ x y))))) |
(+ (* -1 (* x y)) (* (pow z 2) (- (* (pow z 2) (- (* 1/8 (/ (* x (pow z 2)) (pow y 5))) (* 1/4 (/ x (pow y 3))))) (* -1/2 (/ x y))))) |
(* (pow z 2) (+ (* -1/2 (/ x y)) (/ (* x y) (pow z 2)))) |
(* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))) |
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(* (pow z 4) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5))))) |
(* (pow z 4) (+ (* -1/2 (/ x (* y (pow z 4)))) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5)))))) |
(* -1 (+ (log (/ 1 z)) (log (/ y x)))) |
(* (pow z 2) (- (/ (* x y) (pow z 2)) (* -1/2 (/ x y)))) |
(* (pow z 4) (- (/ (* (pow x 2) (pow y 2)) (pow z 4)) (* 1/4 (/ (pow x 2) (pow y 2))))) |
(* (pow z 2) (+ (* -4 (/ (* x (pow y 5)) (pow z 6))) (+ (* -1/2 (/ x y)) (+ (* 4 (/ (* x (pow y 5)) (pow z 6))) (/ (* x y) (pow z 2)))))) |
(* (pow z 2) (+ (* -8 (/ (* x (pow y 7)) (pow z 8))) (+ (* -4 (/ (* x (pow y 5)) (pow z 6))) (+ (* -1/2 (/ x y)) (+ (* 4 (/ (* x (pow y 5)) (pow z 6))) (+ (* 8 (/ (* x (pow y 7)) (pow z 8))) (/ (* x y) (pow z 2)))))))) |
(* (pow z 2) (+ (* -1 (/ (* x y) (pow z 2))) (* -1/2 (/ x y)))) |
(* (pow z 2) (+ (* -2 (/ (* x (pow y 3)) (pow z 4))) (+ (* -1/2 (/ x y)) (/ (* x y) (pow z 2))))) |
(* (pow z 2) (+ (* -2 (/ (* x (pow y 3)) (pow z 4))) (+ (* -1/2 (/ x y)) (+ (* 4 (/ (* x (pow y 5)) (pow z 6))) (/ (* x y) (pow z 2)))))) |
(* (pow z 2) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5))))) |
(* (pow z 2) (+ (* -1/8 (/ (* x (pow y 2)) (pow z 2))) (* -1/16 x))) |
(* (pow z 6) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5))))) |
(* (pow z 6) (+ (* -1/2 (/ x (* y (pow z 4)))) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5)))))) |
(* (pow z 6) (+ (* -1/2 (/ x (* y (pow z 4)))) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (+ (* -1/16 (/ x (pow y 5))) (/ (* x y) (pow z 6)))))) |
(+ (log (/ 1 z)) (log (/ y x))) |
(/ (+ (* -2 (* x (pow y 3))) (* 4 (/ (* x (pow y 5)) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -8 (/ (* x (pow y 7)) (pow z 4))) (* -2 (* x (pow y 3)))) (* -4 (/ (* x (pow y 5)) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -2 (* x (pow y 3))) (* 16 (/ (* x (pow y 9)) (pow z 6)))) (+ (* -4 (/ (* x (pow y 5)) (pow z 2))) (* 8 (/ (* x (pow y 7)) (pow z 4))))) (pow z 2)) |
(* -1 (* x (* z (sqrt -1)))) |
(* -1 (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))) |
(* -1 (+ (log (* -1 (/ y x))) (log (/ -1 z)))) |
(+ (log (* -1 (/ y x))) (log (/ -1 z))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | y | @ | 0 | ((+ (* y x) (* -1/2 (* (/ (* x z) y) z))) (* x (sqrt (- (* y y) (* z z)))) (* -1/2 (* (/ (* x z) y) z)) (* (/ (* x z) y) z) (* x (sqrt (- (* y y) (* z z)))) (+ (* (/ x y) -1/2) (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z))) (/ x y) (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z)) (exp (* (log (/ y (* x z))) -1)) (* z (exp (* (log (/ y (* x z))) -1))) (* (log (/ y (* x z))) -1) (* x (sqrt (- (* y y) (* z z)))) (/ (- (pow (* y x) 2) (pow (* -1/2 (* (/ (* x z) y) z)) 2)) (- (* y x) (* -1/2 (* (/ (* x z) y) z)))) (- (* y x) (* -1/2 (* (/ (* x z) y) z))) (* x (sqrt (- (* y y) (* z z)))) (- (pow (* y x) 2) (pow (* -1/2 (* (/ (* x z) y) z)) 2)) (- (/ (pow (* -1/2 (* (/ (* x z) y) z)) 2) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x))) (/ (pow (* y x) 2) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x)))) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x)) (* x (sqrt (- (* y y) (* z z)))) (/ (pow (* -1/2 (* (/ (* x z) y) z)) 2) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x))) (/ (* x z) y) (* (pow y -5) (* x (+ (* (* y y) -1/8) (* (* z z) -1/16)))) (* x (+ (* (* y y) -1/8) (* (* z z) -1/16))) (+ (* (+ (* (/ x y) -1/2) (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z))) (* z z)) (* x y)) (log (/ y (* x z))) (/ y (* x z)) (/ (pow (* y x) 2) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x)))) |
| 49.0ms | x | @ | 0 | ((+ (* y x) (* -1/2 (* (/ (* x z) y) z))) (* x (sqrt (- (* y y) (* z z)))) (* -1/2 (* (/ (* x z) y) z)) (* (/ (* x z) y) z) (* x (sqrt (- (* y y) (* z z)))) (+ (* (/ x y) -1/2) (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z))) (/ x y) (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z)) (exp (* (log (/ y (* x z))) -1)) (* z (exp (* (log (/ y (* x z))) -1))) (* (log (/ y (* x z))) -1) (* x (sqrt (- (* y y) (* z z)))) (/ (- (pow (* y x) 2) (pow (* -1/2 (* (/ (* x z) y) z)) 2)) (- (* y x) (* -1/2 (* (/ (* x z) y) z)))) (- (* y x) (* -1/2 (* (/ (* x z) y) z))) (* x (sqrt (- (* y y) (* z z)))) (- (pow (* y x) 2) (pow (* -1/2 (* (/ (* x z) y) z)) 2)) (- (/ (pow (* -1/2 (* (/ (* x z) y) z)) 2) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x))) (/ (pow (* y x) 2) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x)))) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x)) (* x (sqrt (- (* y y) (* z z)))) (/ (pow (* -1/2 (* (/ (* x z) y) z)) 2) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x))) (/ (* x z) y) (* (pow y -5) (* x (+ (* (* y y) -1/8) (* (* z z) -1/16)))) (* x (+ (* (* y y) -1/8) (* (* z z) -1/16))) (+ (* (+ (* (/ x y) -1/2) (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z))) (* z z)) (* x y)) (log (/ y (* x z))) (/ y (* x z)) (/ (pow (* y x) 2) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x)))) |
| 42.0ms | z | @ | inf | ((+ (* y x) (* -1/2 (* (/ (* x z) y) z))) (* x (sqrt (- (* y y) (* z z)))) (* -1/2 (* (/ (* x z) y) z)) (* (/ (* x z) y) z) (* x (sqrt (- (* y y) (* z z)))) (+ (* (/ x y) -1/2) (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z))) (/ x y) (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z)) (exp (* (log (/ y (* x z))) -1)) (* z (exp (* (log (/ y (* x z))) -1))) (* (log (/ y (* x z))) -1) (* x (sqrt (- (* y y) (* z z)))) (/ (- (pow (* y x) 2) (pow (* -1/2 (* (/ (* x z) y) z)) 2)) (- (* y x) (* -1/2 (* (/ (* x z) y) z)))) (- (* y x) (* -1/2 (* (/ (* x z) y) z))) (* x (sqrt (- (* y y) (* z z)))) (- (pow (* y x) 2) (pow (* -1/2 (* (/ (* x z) y) z)) 2)) (- (/ (pow (* -1/2 (* (/ (* x z) y) z)) 2) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x))) (/ (pow (* y x) 2) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x)))) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x)) (* x (sqrt (- (* y y) (* z z)))) (/ (pow (* -1/2 (* (/ (* x z) y) z)) 2) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x))) (/ (* x z) y) (* (pow y -5) (* x (+ (* (* y y) -1/8) (* (* z z) -1/16)))) (* x (+ (* (* y y) -1/8) (* (* z z) -1/16))) (+ (* (+ (* (/ x y) -1/2) (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z))) (* z z)) (* x y)) (log (/ y (* x z))) (/ y (* x z)) (/ (pow (* y x) 2) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x)))) |
| 30.0ms | x | @ | -inf | ((+ (* y x) (* -1/2 (* (/ (* x z) y) z))) (* x (sqrt (- (* y y) (* z z)))) (* -1/2 (* (/ (* x z) y) z)) (* (/ (* x z) y) z) (* x (sqrt (- (* y y) (* z z)))) (+ (* (/ x y) -1/2) (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z))) (/ x y) (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z)) (exp (* (log (/ y (* x z))) -1)) (* z (exp (* (log (/ y (* x z))) -1))) (* (log (/ y (* x z))) -1) (* x (sqrt (- (* y y) (* z z)))) (/ (- (pow (* y x) 2) (pow (* -1/2 (* (/ (* x z) y) z)) 2)) (- (* y x) (* -1/2 (* (/ (* x z) y) z)))) (- (* y x) (* -1/2 (* (/ (* x z) y) z))) (* x (sqrt (- (* y y) (* z z)))) (- (pow (* y x) 2) (pow (* -1/2 (* (/ (* x z) y) z)) 2)) (- (/ (pow (* -1/2 (* (/ (* x z) y) z)) 2) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x))) (/ (pow (* y x) 2) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x)))) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x)) (* x (sqrt (- (* y y) (* z z)))) (/ (pow (* -1/2 (* (/ (* x z) y) z)) 2) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x))) (/ (* x z) y) (* (pow y -5) (* x (+ (* (* y y) -1/8) (* (* z z) -1/16)))) (* x (+ (* (* y y) -1/8) (* (* z z) -1/16))) (+ (* (+ (* (/ x y) -1/2) (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z))) (* z z)) (* x y)) (log (/ y (* x z))) (/ y (* x z)) (/ (pow (* y x) 2) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x)))) |
| 22.0ms | z | @ | 0 | ((+ (* y x) (* -1/2 (* (/ (* x z) y) z))) (* x (sqrt (- (* y y) (* z z)))) (* -1/2 (* (/ (* x z) y) z)) (* (/ (* x z) y) z) (* x (sqrt (- (* y y) (* z z)))) (+ (* (/ x y) -1/2) (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z))) (/ x y) (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z)) (exp (* (log (/ y (* x z))) -1)) (* z (exp (* (log (/ y (* x z))) -1))) (* (log (/ y (* x z))) -1) (* x (sqrt (- (* y y) (* z z)))) (/ (- (pow (* y x) 2) (pow (* -1/2 (* (/ (* x z) y) z)) 2)) (- (* y x) (* -1/2 (* (/ (* x z) y) z)))) (- (* y x) (* -1/2 (* (/ (* x z) y) z))) (* x (sqrt (- (* y y) (* z z)))) (- (pow (* y x) 2) (pow (* -1/2 (* (/ (* x z) y) z)) 2)) (- (/ (pow (* -1/2 (* (/ (* x z) y) z)) 2) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x))) (/ (pow (* y x) 2) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x)))) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x)) (* x (sqrt (- (* y y) (* z z)))) (/ (pow (* -1/2 (* (/ (* x z) y) z)) 2) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x))) (/ (* x z) y) (* (pow y -5) (* x (+ (* (* y y) -1/8) (* (* z z) -1/16)))) (* x (+ (* (* y y) -1/8) (* (* z z) -1/16))) (+ (* (+ (* (/ x y) -1/2) (* (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (* z z))) (* z z)) (* x y)) (log (/ y (* x z))) (/ y (* x z)) (/ (pow (* y x) 2) (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 648 | 3795 |
| 0 | 2305 | 3600 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ y (* -1/2 (/ (pow z 2) y)))) |
(* x (sqrt (- (pow y 2) (pow z 2)))) |
(* -1/2 (/ (* x (pow z 2)) y)) |
(/ (* x (pow z 2)) y) |
(* x (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ x y) |
(* x (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3)))))) |
(/ (* x z) y) |
(* -1 (+ (log (/ y z)) (* -1 (log x)))) |
(/ (* x (- (pow y 2) (* 1/4 (/ (pow z 4) (pow y 2))))) (- y (* -1/2 (/ (pow z 2) y)))) |
(* x (- y (* -1/2 (/ (pow z 2) y)))) |
(* (pow x 2) (- (pow y 2) (* 1/4 (/ (pow z 4) (pow y 2))))) |
(* x (- (* 1/4 (/ (pow z 4) (* (pow y 2) (+ (* -1 y) (* -1/2 (/ (pow z 2) y)))))) (/ (pow y 2) (+ (* -1 y) (* -1/2 (/ (pow z 2) y)))))) |
(* x (+ (* -1 y) (* -1/2 (/ (pow z 2) y)))) |
(* 1/4 (/ (* x (pow z 4)) (* (pow y 2) (+ (* -1 y) (* -1/2 (/ (pow z 2) y)))))) |
(/ (* x (+ (* -1/8 (pow y 2)) (* -1/16 (pow z 2)))) (pow y 5)) |
(* x (+ (* -1/8 (pow y 2)) (* -1/16 (pow z 2)))) |
(* x (+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
(+ (log (/ y z)) (* -1 (log x))) |
(/ y (* x z)) |
(/ (* x (pow y 2)) (+ (* -1 y) (* -1/2 (/ (pow z 2) y)))) |
(* -1 (+ (log (/ 1 x)) (log (/ y z)))) |
(+ (log (/ 1 x)) (log (/ y z))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ (pow z 2) y))))) |
(* -1 (* x (+ (* (pow z 2) (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(* -1 (* x (* (pow z 2) (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))))) |
(* -1 (+ (log (* -1 (/ y z))) (log (/ -1 x)))) |
(* -1 (/ (* x (- (pow y 2) (* 1/4 (/ (pow z 4) (pow y 2))))) (- (* -1 y) (* 1/2 (/ (pow z 2) y))))) |
(* -1 (* x (- (* -1 y) (* 1/2 (/ (pow z 2) y))))) |
(* -1 (* x (- (* 1/4 (/ (pow z 4) (* (pow y 2) (+ y (* 1/2 (/ (pow z 2) y)))))) (/ (pow y 2) (+ y (* 1/2 (/ (pow z 2) y))))))) |
(* -1 (* x (+ y (* 1/2 (/ (pow z 2) y))))) |
(* -1/4 (/ (* x (pow z 4)) (* (pow y 2) (+ y (* 1/2 (/ (pow z 2) y)))))) |
(* -1 (* x (+ (* -1 y) (* (pow z 2) (+ (* (pow z 2) (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))) |
(+ (log (* -1 (/ y z))) (log (/ -1 x))) |
(* -1 (/ (* x (pow y 2)) (+ y (* 1/2 (/ (pow z 2) y))))) |
(/ (+ (* -1/2 (* x (pow z 2))) (* x (pow y 2))) y) |
(* x (* z (sqrt -1))) |
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1)))) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1))))))) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5))))))))) |
(* -1/16 (/ (* x (pow z 4)) (pow y 5))) |
(/ (+ (* -1/8 (* x (* (pow y 2) (pow z 2)))) (* -1/16 (* x (pow z 4)))) (pow y 5)) |
(/ (+ (* -1/16 (* x (pow z 4))) (* (pow y 2) (+ (* -1/2 (* x (pow y 2))) (* -1/8 (* x (pow z 2)))))) (pow y 5)) |
(* -1 (+ (log y) (log (/ 1 (* x z))))) |
(* 1/2 (/ (* x (pow z 2)) y)) |
(/ (- (* x (pow y 2)) (* -1/2 (* x (pow z 2)))) y) |
(* -1/4 (/ (* (pow x 2) (pow z 4)) (pow y 2))) |
(/ (- (* (pow x 2) (pow y 4)) (* 1/4 (* (pow x 2) (pow z 4)))) (pow y 2)) |
(/ (+ (* -1/2 (* x (pow z 2))) (* (pow y 2) (+ x (* (pow y 4) (+ (* -4 (/ x (pow z 4))) (* 4 (/ x (pow z 4)))))))) y) |
(/ (+ (* -1/2 (* x (pow z 2))) (* (pow y 2) (+ x (* (pow y 4) (+ (* -4 (/ x (pow z 4))) (+ (* 4 (/ x (pow z 4))) (* (pow y 2) (+ (* -8 (/ x (pow z 6))) (* 8 (/ x (pow z 6))))))))))) y) |
(/ (+ (* -1 (* x (pow y 2))) (* -1/2 (* x (pow z 2)))) y) |
(/ (+ (* -1/2 (* x (pow z 2))) (* (pow y 2) (+ x (* -2 (/ (* x (pow y 2)) (pow z 2)))))) y) |
(/ (+ (* -1/2 (* x (pow z 2))) (* (pow y 2) (+ x (* (pow y 2) (+ (* -2 (/ x (pow z 2))) (* 4 (/ (* x (pow y 2)) (pow z 4)))))))) y) |
(* -1/16 (/ (* x (pow z 2)) (pow y 5))) |
(/ (+ (* -1/8 (* x (pow y 2))) (* -1/16 (* x (pow z 2)))) (pow y 5)) |
(* -1/16 (* x (pow z 2))) |
(+ (* -1/8 (* x (pow y 2))) (* -1/16 (* x (pow z 2)))) |
(* -1/16 (/ (* x (pow z 6)) (pow y 5))) |
(/ (+ (* -1/8 (* x (* (pow y 2) (pow z 4)))) (* -1/16 (* x (pow z 6)))) (pow y 5)) |
(/ (+ (* -1/16 (* x (pow z 6))) (* (pow y 2) (+ (* -1/2 (* x (* (pow y 2) (pow z 2)))) (* -1/8 (* x (pow z 4)))))) (pow y 5)) |
(/ (+ (* -1/16 (* x (pow z 6))) (* (pow y 2) (+ (* -1/8 (* x (pow z 4))) (* (pow y 2) (+ (* -1/2 (* x (pow z 2))) (* x (pow y 2))))))) (pow y 5)) |
(+ (log y) (log (/ 1 (* x z)))) |
(* -2 (/ (* x (pow y 3)) (pow z 2))) |
(* (pow y 3) (+ (* -2 (/ x (pow z 2))) (* 4 (/ (* x (pow y 2)) (pow z 4))))) |
(* (pow y 3) (+ (* -2 (/ x (pow z 2))) (* (pow y 2) (- (* -8 (/ (* x (pow y 2)) (pow z 6))) (* -4 (/ x (pow z 4))))))) |
(* (pow y 3) (+ (* -2 (/ x (pow z 2))) (* (pow y 2) (- (* (pow y 2) (- (* 16 (/ (* x (pow y 2)) (pow z 8))) (* 8 (/ x (pow z 6))))) (* -4 (/ x (pow z 4))))))) |
(* x y) |
(* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) |
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4)))))) |
(* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6))))))) |
(* -1/2 (/ x y)) |
(/ (+ (* -1/2 x) (* -1/8 (/ (* x (pow z 2)) (pow y 2)))) y) |
(/ (+ (* -1/2 x) (+ (* -1/8 (/ (* x (pow z 2)) (pow y 2))) (* -1/16 (/ (* x (pow z 4)) (pow y 4))))) y) |
(* -1/8 (/ (* x (pow z 2)) (pow y 3))) |
(/ (+ (* -1/8 (* x (pow z 2))) (* -1/16 (/ (* x (pow z 4)) (pow y 2)))) (pow y 3)) |
(* -1 (+ (log (/ 1 (* x z))) (* -1 (log (/ 1 y))))) |
(* y (+ x (* 1/2 (/ (* x (pow z 2)) (pow y 2))))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1/4 (/ (* (pow x 2) (pow z 4)) (pow y 4))) (pow x 2))) |
(* y (- (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1 x))) |
(* y (- (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/4 (/ (* x (pow z 4)) (pow y 4))) (* 1/4 (/ (* x (pow z 4)) (pow y 4))))) (* -1 x))) |
(* y (- (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/4 (/ (* x (pow z 4)) (pow y 4))) (+ (* -1/8 (/ (* x (pow z 6)) (pow y 6))) (+ (* 1/8 (/ (* x (pow z 6)) (pow y 6))) (* 1/4 (/ (* x (pow z 4)) (pow y 4))))))) (* -1 x))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) |
(* -1/4 (/ (* x (pow z 4)) (pow y 3))) |
(/ (+ (* -1/4 (* x (pow z 4))) (* 1/8 (/ (* x (pow z 6)) (pow y 2)))) (pow y 3)) |
(/ (+ (* -1/4 (* x (pow z 4))) (+ (* -1/16 (/ (* x (pow z 8)) (pow y 4))) (* 1/8 (/ (* x (pow z 6)) (pow y 2))))) (pow y 3)) |
(/ (+ (* -1/4 (* x (pow z 4))) (+ (* -1/16 (/ (* x (pow z 8)) (pow y 4))) (+ (* 1/32 (/ (* x (pow z 10)) (pow y 6))) (* 1/8 (/ (* x (pow z 6)) (pow y 2)))))) (pow y 3)) |
(* -1/8 (/ x (pow y 3))) |
(/ (+ (* -1/8 x) (* -1/16 (/ (* x (pow z 2)) (pow y 2)))) (pow y 3)) |
(* -1/8 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/8 x) (* -1/16 (/ (* x (pow z 2)) (pow y 2))))) |
(+ (log (/ 1 (* x z))) (* -1 (log (/ 1 y)))) |
(* y (+ (* -1 x) (* 1/2 (/ (* x (pow z 2)) (pow y 2))))) |
(* y (- (+ (* -1 x) (* -1/4 (/ (* x (pow z 4)) (pow y 4)))) (* -1/2 (/ (* x (pow z 2)) (pow y 2))))) |
(* y (- (+ (* -1 x) (* 1/8 (/ (* x (pow z 6)) (pow y 6)))) (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* 1/4 (/ (* x (pow z 4)) (pow y 4)))))) |
(* -1 (* y (+ (* -1 x) (* 1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(* -1 (* y (+ x (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (* -1/8 (/ (* x (pow z 4)) (pow y 4))))))) |
(* -1 (* y (+ x (+ (* -1/2 (/ (* x (pow z 2)) (pow y 2))) (+ (* -1/8 (/ (* x (pow z 4)) (pow y 4))) (* -1/16 (/ (* x (pow z 6)) (pow y 6)))))))) |
(* -1 (/ (+ (* 1/8 (/ (* x (pow z 2)) (pow y 2))) (* 1/2 x)) y)) |
(* -1 (/ (+ (* 1/16 (/ (* x (pow z 4)) (pow y 4))) (+ (* 1/8 (/ (* x (pow z 2)) (pow y 2))) (* 1/2 x))) y)) |
(* -1 (/ (+ (* 1/16 (/ (* x (pow z 4)) (pow y 2))) (* 1/8 (* x (pow z 2)))) (pow y 3))) |
(* -1 (+ (log (/ -1 (* x z))) (* -1 (log (/ -1 y))))) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(* -1 (* y (- (* 1/2 (/ (* x (pow z 2)) (pow y 2))) x))) |
(* -1 (* y (- (+ (* -1/4 (/ (* x (pow z 4)) (pow y 4))) (+ (* 1/4 (/ (* x (pow z 4)) (pow y 4))) (* 1/2 (/ (* x (pow z 2)) (pow y 2))))) x))) |
(* -1 (* y (- (+ (* -1/4 (/ (* x (pow z 4)) (pow y 4))) (+ (* -1/8 (/ (* x (pow z 6)) (pow y 6))) (+ (* 1/8 (/ (* x (pow z 6)) (pow y 6))) (+ (* 1/4 (/ (* x (pow z 4)) (pow y 4))) (* 1/2 (/ (* x (pow z 2)) (pow y 2))))))) x))) |
(* -1 (* y (+ x (* 1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(* -1 (/ (+ (* -1/8 (/ (* x (pow z 6)) (pow y 2))) (* 1/4 (* x (pow z 4)))) (pow y 3))) |
(* -1 (/ (+ (* -1/8 (/ (* x (pow z 6)) (pow y 2))) (+ (* 1/16 (/ (* x (pow z 8)) (pow y 4))) (* 1/4 (* x (pow z 4))))) (pow y 3))) |
(* -1 (/ (+ (* -1/8 (/ (* x (pow z 6)) (pow y 2))) (+ (* -1/32 (/ (* x (pow z 10)) (pow y 6))) (+ (* 1/16 (/ (* x (pow z 8)) (pow y 4))) (* 1/4 (* x (pow z 4)))))) (pow y 3))) |
(* -1 (/ (+ (* 1/16 (/ (* x (pow z 2)) (pow y 2))) (* 1/8 x)) (pow y 3))) |
(* -1 (* y (+ (* -1 x) (+ (* 1/8 (/ (* x (pow z 4)) (pow y 4))) (* 1/2 (/ (* x (pow z 2)) (pow y 2))))))) |
(* -1 (* y (+ (* -1 x) (+ (* 1/16 (/ (* x (pow z 6)) (pow y 6))) (+ (* 1/8 (/ (* x (pow z 4)) (pow y 4))) (* 1/2 (/ (* x (pow z 2)) (pow y 2)))))))) |
(+ (log (/ -1 (* x z))) (* -1 (log (/ -1 y)))) |
(* -1 (* y (- (+ x (* 1/4 (/ (* x (pow z 4)) (pow y 4)))) (* 1/2 (/ (* x (pow z 2)) (pow y 2)))))) |
(* -1 (* y (- (+ x (* -1/8 (/ (* x (pow z 6)) (pow y 6)))) (+ (* -1/4 (/ (* x (pow z 4)) (pow y 4))) (* 1/2 (/ (* x (pow z 2)) (pow y 2))))))) |
(+ (* -1/2 (/ (* x (pow z 2)) y)) (* x y)) |
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))))) |
(+ (* x y) (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))))) |
(+ (* -1/2 (/ x y)) (* -1/8 (/ (* x (pow z 2)) (pow y 3)))) |
(+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))))) |
(* (pow z 2) (+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5))))) |
(* -1 (+ (log (/ y x)) (* -1 (log z)))) |
(+ (* 1/2 (/ (* x (pow z 2)) y)) (* x y)) |
(+ (* -1/4 (/ (* (pow x 2) (pow z 4)) (pow y 2))) (* (pow x 2) (pow y 2))) |
(- (* -1/2 (/ (* x (pow z 2)) y)) (* -1 (* x y))) |
(- (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/4 (/ x (pow y 3))) (* 1/4 (/ x (pow y 3))))))) (* -1 (* x y))) |
(- (* (pow z 2) (+ (* -1/2 (/ x y)) (* (pow z 2) (+ (* -1/4 (/ x (pow y 3))) (+ (* 1/4 (/ x (pow y 3))) (* (pow z 2) (+ (* -1/8 (/ x (pow y 5))) (* 1/8 (/ x (pow y 5)))))))))) (* -1 (* x y))) |
(+ (* -1 (* x y)) (* -1/2 (/ (* x (pow z 2)) y))) |
(* (pow z 4) (+ (* -1/4 (/ x (pow y 3))) (* 1/8 (/ (* x (pow z 2)) (pow y 5))))) |
(* (pow z 4) (+ (* -1/4 (/ x (pow y 3))) (* (pow z 2) (+ (* -1/16 (/ (* x (pow z 2)) (pow y 7))) (* 1/8 (/ x (pow y 5))))))) |
(* (pow z 4) (+ (* -1/4 (/ x (pow y 3))) (* (pow z 2) (+ (* 1/8 (/ x (pow y 5))) (* (pow z 2) (+ (* -1/16 (/ x (pow y 7))) (* 1/32 (/ (* x (pow z 2)) (pow y 9))))))))) |
(+ (* -1/8 (/ x (pow y 3))) (* -1/16 (/ (* x (pow z 2)) (pow y 5)))) |
(+ (log (/ y x)) (* -1 (log z))) |
(+ (* -1 (* x y)) (* 1/2 (/ (* x (pow z 2)) y))) |
(+ (* -1 (* x y)) (* (pow z 2) (- (* -1/4 (/ (* x (pow z 2)) (pow y 3))) (* -1/2 (/ x y))))) |
(+ (* -1 (* x y)) (* (pow z 2) (- (* (pow z 2) (- (* 1/8 (/ (* x (pow z 2)) (pow y 5))) (* 1/4 (/ x (pow y 3))))) (* -1/2 (/ x y))))) |
(* (pow z 2) (+ (* -1/2 (/ x y)) (/ (* x y) (pow z 2)))) |
(* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))) |
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(* (pow z 4) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5))))) |
(* (pow z 4) (+ (* -1/2 (/ x (* y (pow z 4)))) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5)))))) |
(* -1 (+ (log (/ 1 z)) (log (/ y x)))) |
(* (pow z 2) (- (/ (* x y) (pow z 2)) (* -1/2 (/ x y)))) |
(* (pow z 4) (- (/ (* (pow x 2) (pow y 2)) (pow z 4)) (* 1/4 (/ (pow x 2) (pow y 2))))) |
(* (pow z 2) (+ (* -4 (/ (* x (pow y 5)) (pow z 6))) (+ (* -1/2 (/ x y)) (+ (* 4 (/ (* x (pow y 5)) (pow z 6))) (/ (* x y) (pow z 2)))))) |
(* (pow z 2) (+ (* -8 (/ (* x (pow y 7)) (pow z 8))) (+ (* -4 (/ (* x (pow y 5)) (pow z 6))) (+ (* -1/2 (/ x y)) (+ (* 4 (/ (* x (pow y 5)) (pow z 6))) (+ (* 8 (/ (* x (pow y 7)) (pow z 8))) (/ (* x y) (pow z 2)))))))) |
(* (pow z 2) (+ (* -1 (/ (* x y) (pow z 2))) (* -1/2 (/ x y)))) |
(* (pow z 2) (+ (* -2 (/ (* x (pow y 3)) (pow z 4))) (+ (* -1/2 (/ x y)) (/ (* x y) (pow z 2))))) |
(* (pow z 2) (+ (* -2 (/ (* x (pow y 3)) (pow z 4))) (+ (* -1/2 (/ x y)) (+ (* 4 (/ (* x (pow y 5)) (pow z 6))) (/ (* x y) (pow z 2)))))) |
(* (pow z 2) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5))))) |
(* (pow z 2) (+ (* -1/8 (/ (* x (pow y 2)) (pow z 2))) (* -1/16 x))) |
(* (pow z 6) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5))))) |
(* (pow z 6) (+ (* -1/2 (/ x (* y (pow z 4)))) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (* -1/16 (/ x (pow y 5)))))) |
(* (pow z 6) (+ (* -1/2 (/ x (* y (pow z 4)))) (+ (* -1/8 (/ x (* (pow y 3) (pow z 2)))) (+ (* -1/16 (/ x (pow y 5))) (/ (* x y) (pow z 6)))))) |
(+ (log (/ 1 z)) (log (/ y x))) |
(/ (+ (* -2 (* x (pow y 3))) (* 4 (/ (* x (pow y 5)) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -8 (/ (* x (pow y 7)) (pow z 4))) (* -2 (* x (pow y 3)))) (* -4 (/ (* x (pow y 5)) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -2 (* x (pow y 3))) (* 16 (/ (* x (pow y 9)) (pow z 6)))) (+ (* -4 (/ (* x (pow y 5)) (pow z 2))) (* 8 (/ (* x (pow y 7)) (pow z 4))))) (pow z 2)) |
(* -1 (* x (* z (sqrt -1)))) |
(* -1 (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))) |
(* -1 (+ (log (* -1 (/ y x))) (log (/ -1 z)))) |
(+ (log (* -1 (/ y x))) (log (/ -1 z))) |
| Outputs |
|---|
(* x (+ y (* -1/2 (/ (pow z 2) y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y) x) |
(* x (sqrt (- (pow y 2) (pow z 2)))) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) x) |
(* -1/2 (/ (* x (pow z 2)) y)) |
(*.f64 (*.f64 x (/.f64 (*.f64 z z) y)) #s(literal -1/2 binary64)) |
(/ (* x (pow z 2)) y) |
(*.f64 x (/.f64 (*.f64 z z) y)) |
(* x (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1/16 binary64)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) y)) x) |
(/ x y) |
(/.f64 x y) |
(* x (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3)))))) |
(*.f64 (*.f64 (*.f64 z z) x) (-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1/16 binary64)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(* -1 (+ (log (/ y z)) (* -1 (log x)))) |
(neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 (/.f64 y z)))) |
(/ (* x (- (pow y 2) (* 1/4 (/ (pow z 4) (pow y 2))))) (- y (* -1/2 (/ (pow z 2) y)))) |
(*.f64 x (/.f64 (fma.f64 y y (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) y))) |
(* x (- y (* -1/2 (/ (pow z 2) y)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) y) x) |
(* (pow x 2) (- (pow y 2) (* 1/4 (/ (pow z 4) (pow y 2))))) |
(*.f64 (*.f64 x x) (fma.f64 y y (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y))))) |
(* x (- (* 1/4 (/ (pow z 4) (* (pow y 2) (+ (* -1 y) (* -1/2 (/ (pow z 2) y)))))) (/ (pow y 2) (+ (* -1 y) (* -1/2 (/ (pow z 2) y)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (neg.f64 y)) (*.f64 y y))) (/.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (neg.f64 y)))) x) |
(* x (+ (* -1 y) (* -1/2 (/ (pow z 2) y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (neg.f64 y)) x) |
(* 1/4 (/ (* x (pow z 4)) (* (pow y 2) (+ (* -1 y) (* -1/2 (/ (pow z 2) y)))))) |
(/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) x) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (neg.f64 y)) (*.f64 y y))) |
(/ (* x (+ (* -1/8 (pow y 2)) (* -1/16 (pow z 2)))) (pow y 5)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64))) x) (pow.f64 y #s(literal 5 binary64))) |
(* x (+ (* -1/8 (pow y 2)) (* -1/16 (pow z 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64))) x) |
(* x (+ y (* (pow z 2) (- (* (pow z 2) (- (* -1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1/16 binary64)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z z) y) x) |
(+ (log (/ y z)) (* -1 (log x))) |
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 (/.f64 y z))) |
(/ y (* x z)) |
(/.f64 y (*.f64 z x)) |
(/ (* x (pow y 2)) (+ (* -1 y) (* -1/2 (/ (pow z 2) y)))) |
(/.f64 (*.f64 (*.f64 y y) x) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (neg.f64 y))) |
(* -1 (+ (log (/ 1 x)) (log (/ y z)))) |
(neg.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 (/.f64 y z)))) |
(+ (log (/ 1 x)) (log (/ y z))) |
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 (/.f64 y z))) |
(* -1 (* x (+ (* -1 y) (* 1/2 (/ (pow z 2) y))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) (neg.f64 y))) |
(* -1 (* x (+ (* (pow z 2) (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))) |
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 z z) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z) (/.f64 #s(literal 1/2 binary64) y))) |
(* -1 (* x (* (pow z 2) (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))))) |
(*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 z z) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z))) |
(* -1 (+ (log (* -1 (/ y z))) (log (/ -1 x)))) |
(neg.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 (neg.f64 y) z)))) |
(* -1 (/ (* x (- (pow y 2) (* 1/4 (/ (pow z 4) (pow y 2))))) (- (* -1 y) (* 1/2 (/ (pow z 2) y))))) |
(neg.f64 (*.f64 x (/.f64 (fma.f64 y y (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (neg.f64 y))))) |
(* -1 (* x (- (* -1 y) (* 1/2 (/ (pow z 2) y))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (neg.f64 y))) |
(* -1 (* x (- (* 1/4 (/ (pow z 4) (* (pow y 2) (+ y (* 1/2 (/ (pow z 2) y)))))) (/ (pow y 2) (+ y (* 1/2 (/ (pow z 2) y))))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) y) (*.f64 y y))) (/.f64 (*.f64 y y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) y)))) |
(* -1 (* x (+ y (* 1/2 (/ (pow z 2) y))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) y)) |
(* -1/4 (/ (* x (pow z 4)) (* (pow y 2) (+ y (* 1/2 (/ (pow z 2) y)))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) y) (*.f64 y y))) |
(* -1 (* x (+ (* -1 y) (* (pow z 2) (+ (* (pow z 2) (+ (* 1/16 (/ (pow z 2) (pow y 5))) (* 1/8 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))) |
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 z z) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z z) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 z z) (neg.f64 y))) |
(+ (log (* -1 (/ y z))) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 (neg.f64 y) z))) |
(* -1 (/ (* x (pow y 2)) (+ y (* 1/2 (/ (pow z 2) y))))) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) y)) |
(/ (+ (* -1/2 (* x (pow z 2))) (* x (pow y 2))) y) |
(/.f64 (fma.f64 (*.f64 (*.f64 z z) x) #s(literal -1/2 binary64) (*.f64 (*.f64 y y) x)) y) |
(* x (* z (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) x) |
(+ (* 1/2 (/ (* x (pow y 2)) (* z (sqrt -1)))) (* x (* z (sqrt -1)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) x) z) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) x)) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* -1/8 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/2 (/ x (* z (sqrt -1))))))) |
(fma.f64 (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/8 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) #s(literal 3 binary64)))) (*.f64 y y) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) x)) |
(+ (* x (* z (sqrt -1))) (* (pow y 2) (+ (* 1/2 (/ x (* z (sqrt -1)))) (* (pow y 2) (+ (* -1/8 (/ x (* (pow z 3) (pow (sqrt -1) 3)))) (* 1/16 (/ (* x (pow y 2)) (* (pow z 5) (pow (sqrt -1) 5))))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 x (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 y y) (*.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) #s(literal 1/2 binary64))) (*.f64 y y) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) x)) |
(* -1/16 (/ (* x (pow z 4)) (pow y 5))) |
(/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) x) #s(literal -1/16 binary64)) (pow.f64 y #s(literal 5 binary64))) |
(/ (+ (* -1/8 (* x (* (pow y 2) (pow z 2)))) (* -1/16 (* x (pow z 4)))) (pow y 5)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) x) (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 (*.f64 y y) (*.f64 z z)))) (pow.f64 y #s(literal 5 binary64))) |
(/ (+ (* -1/16 (* x (pow z 4))) (* (pow y 2) (+ (* -1/2 (* x (pow y 2))) (* -1/8 (* x (pow z 2)))))) (pow y 5)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) x) (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 z z) x) #s(literal -1/8 binary64))) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64))) |
(* -1 (+ (log y) (log (/ 1 (* x z))))) |
(neg.f64 (+.f64 (neg.f64 (log.f64 (*.f64 z x))) (log.f64 y))) |
(* 1/2 (/ (* x (pow z 2)) y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 z z) y))) |
(/ (- (* x (pow y 2)) (* -1/2 (* x (pow z 2)))) y) |
(/.f64 (fma.f64 (*.f64 y y) x (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z z) x))) y) |
(* -1/4 (/ (* (pow x 2) (pow z 4)) (pow y 2))) |
(*.f64 (*.f64 (*.f64 x x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y))) #s(literal -1/4 binary64)) |
(/ (- (* (pow x 2) (pow y 4)) (* 1/4 (* (pow x 2) (pow z 4)))) (pow y 2)) |
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(/ (+ (* -1/2 (* x (pow z 2))) (* (pow y 2) (+ x (* (pow y 4) (+ (* -4 (/ x (pow z 4))) (* 4 (/ x (pow z 4)))))))) y) |
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(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 y #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) x)) (*.f64 z z))) (*.f64 z z)) |
(/ (- (+ (* -8 (/ (* x (pow y 7)) (pow z 4))) (* -2 (* x (pow y 3)))) (* -4 (/ (* x (pow y 5)) (pow z 2)))) (pow z 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 7 binary64)) x) (pow.f64 z #s(literal 4 binary64))) #s(literal -8 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 y #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) x)) (*.f64 z z)))) (*.f64 z z)) |
(/ (- (+ (* -2 (* x (pow y 3))) (* 16 (/ (* x (pow y 9)) (pow z 6)))) (+ (* -4 (/ (* x (pow y 5)) (pow z 2))) (* 8 (/ (* x (pow y 7)) (pow z 4))))) (pow z 2)) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 y #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (pow.f64 y #s(literal 9 binary64)) x)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 7 binary64)) x) (pow.f64 z #s(literal 4 binary64))) #s(literal 8 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) x)) (*.f64 z z)))) (*.f64 z z)) |
(* -1 (* x (* z (sqrt -1)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) z)) |
(* -1 (* z (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) x) (*.f64 z z)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) z)) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1)))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) x) (*.f64 z z)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) z)) |
(* -1 (* z (+ (* -1/8 (/ (* x (pow y 4)) (* (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (/ (* x (pow y 6)) (* (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (/ (* x (pow y 2)) (* (pow z 2) (sqrt -1)))) (* x (sqrt -1))))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) (*.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 (/.f64 (*.f64 (*.f64 y y) x) (*.f64 z z)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))) z)) |
(* -1 (+ (log (* -1 (/ y x))) (log (/ -1 z)))) |
(neg.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (/.f64 (neg.f64 y) x)))) |
(+ (log (* -1 (/ y x))) (log (/ -1 z))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) (log.f64 (/.f64 (neg.f64 y) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 614 |
| 0 | 107 | 498 |
| 1 | 470 | 496 |
| 2 | 3949 | 496 |
| 0 | 8362 | 487 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) |
(*.f64 (/.f64 (*.f64 x z) y) z) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z))) (*.f64 z z) (*.f64 x y))) |
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z))) |
(/.f64 x y) |
(*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64))) |
(*.f64 z (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)))) |
(*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (*.f64 z (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)))) #s(literal -1/2 binary64) (*.f64 x y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)))) |
(-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))))) |
(-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x)) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))))) |
(/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) |
(/.f64 (*.f64 x z) y) |
(*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64))))) |
(*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))) |
(fma.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z))) (*.f64 z z) (*.f64 x y)) |
(log.f64 (/.f64 y (*.f64 x z))) |
(/.f64 y (*.f64 x z)) |
(/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) (fma.f64 x y (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (neg.f64 y) x) (-.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 x y (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 x y (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x y (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) #s(literal -3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) #s(literal -3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))) (pow.f64 (+.f64 (pow.f64 (fma.f64 x y (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) x) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) #s(literal -2 binary64))) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 x y (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x y (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 x y (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x y (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) x) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) #s(literal -3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) #s(literal -3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) x) y) #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))) |
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(-.f64 (log.f64 (/.f64 y (*.f64 z x))) #s(literal 0 binary64)) |
(+.f64 (log.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal -1 binary64))) (log.f64 (neg.f64 y))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (*.f64 (neg.f64 z) x)))) |
(+.f64 (neg.f64 (log.f64 (*.f64 z x))) (log.f64 y)) |
(+.f64 (log.f64 (/.f64 y x)) (log.f64 (pow.f64 z #s(literal -1 binary64)))) |
(+.f64 (log.f64 (neg.f64 y)) (log.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal -1 binary64)))) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 y (*.f64 z x)))) |
(+.f64 (log.f64 y) (neg.f64 (log.f64 (*.f64 z x)))) |
(log.f64 (/.f64 y (*.f64 z x))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1 binary64)) y) |
(*.f64 (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z x))) |
(*.f64 (neg.f64 y) (pow.f64 (*.f64 (neg.f64 z) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (neg.f64 z) x))) |
(*.f64 y (exp.f64 (neg.f64 (log.f64 (*.f64 z x))))) |
(*.f64 y (pow.f64 (*.f64 z x) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 z x) y))) |
(pow.f64 (/.f64 y (*.f64 z x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (*.f64 z x) y) #s(literal -1 binary64)) |
(/.f64 (exp.f64 (log.f64 (/.f64 y x))) (exp.f64 (log.f64 z))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (*.f64 (neg.f64 z) x)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z y)) |
(/.f64 (/.f64 y z) x) |
(/.f64 (neg.f64 (/.f64 y x)) (neg.f64 z)) |
(/.f64 (pow.f64 (*.f64 z x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (/.f64 y x) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 y) (*.f64 (neg.f64 z) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 z x) y))) |
(/.f64 (/.f64 y (*.f64 z x)) #s(literal 1 binary64)) |
(/.f64 y (neg.f64 (*.f64 (neg.f64 z) x))) |
(/.f64 y (*.f64 z x)) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 z x))) |
(neg.f64 (/.f64 y (*.f64 (neg.f64 z) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) x)) (/.f64 y (*.f64 (neg.f64 z) x))) |
(-.f64 (cosh.f64 (log.f64 (/.f64 (*.f64 z x) y))) (sinh.f64 (log.f64 (/.f64 (*.f64 z x) y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z x) y)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 y (*.f64 z x)))) |
(+.f64 (cosh.f64 (log.f64 (/.f64 (*.f64 z x) y))) (sinh.f64 (log.f64 (/.f64 y (*.f64 z x))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 x y (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)) (fma.f64 x y (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (neg.f64 y) x) (-.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64)))))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x y) (/.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)))) |
(*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)))) |
(*.f64 (*.f64 y y) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)))) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y))) |
(/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal -2 binary64))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal -2 binary64)))) #s(literal -1 binary64))) |
Compiled 57 802 to 4 645 computations (92% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 047 | 2 | 1 049 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 050 | 8 | 1 058 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 61.8% | (*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) |
| ✓ | 99.6% | (*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y))) |
| ✓ | 32.7% | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z))) (*.f64 z z) (*.f64 x y))) |
| ✓ | 95.3% | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (*.f64 z (/.f64 (*.f64 z x) y)) #s(literal -1/2 binary64) (*.f64 x y))) |
| ✓ | 95.3% | #s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)))) |
| 47.2% | #s(approx (* x (sqrt (- (* y y) (* z z)))) (/.f64 (*.f64 (fma.f64 x y (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y))) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))))) | |
| 47.0% | #s(approx (* x (sqrt (- (* y y) (* z z)))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) #s(approx (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x)) (*.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))))) | |
| ✓ | 98.9% | #s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) |
Compiled 805 to 293 computations (63.6% saved)
| Inputs |
|---|
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) |
(*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y))) |
(*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) y))) |
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (*.f64 z (/.f64 (*.f64 z x) y)) #s(literal -1/2 binary64) (*.f64 x y))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1/2 binary64) (*.f64 x y))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (/.f64 (*.f64 (fma.f64 x y (*.f64 (*.f64 (/.f64 (*.f64 z x) y) z) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 z x) y) z) (*.f64 x y))) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (*.f64 (pow.f64 y #s(literal -5 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) (*.f64 (*.f64 z z) #s(literal -1/16 binary64)))))) (*.f64 z z))) (*.f64 z z) (*.f64 x y))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 #s(approx (+ (* (/ (* (* z z) x) (pow y 5)) -1/16) (* (/ x (pow y 3)) -1/8)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 z z) x))) (pow.f64 y #s(literal 5 binary64)))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (*.f64 z (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) #s(literal -1 binary64)))) #s(literal -1/2 binary64) (*.f64 x y))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z))))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/16 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 z z) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z) (*.f64 x y))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) #s(approx (+ (* (* -1/2 z) (/ (* x z) y)) (* (neg y) x)) (*.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x z) y) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 x z) y) (*.f64 (neg.f64 y) x))))) |
| Outputs |
|---|
(*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y))) |
8 calls:
| 49.0ms | (-.f64 (*.f64 y y) (*.f64 z z)) |
| 27.0ms | x |
| 5.0ms | z |
| 5.0ms | y |
| 4.0ms | (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | z |
| 99.6% | 1 | (*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) |
| 99.6% | 1 | (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) |
| 99.6% | 1 | (-.f64 (*.f64 y y) (*.f64 z z)) |
| 99.6% | 1 | (*.f64 y y) |
| 99.6% | 1 | (*.f64 z z) |
Compiled 34 to 38 computations (-11.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) |
| Outputs |
|---|
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) |
8 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) |
| 1.0ms | (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | x |
| 98.9% | 1 | y |
| 98.9% | 1 | z |
| 98.9% | 1 | (*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) |
| 98.9% | 1 | (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) |
| 98.9% | 1 | (-.f64 (*.f64 y y) (*.f64 z z)) |
| 98.9% | 1 | (*.f64 y y) |
| 98.9% | 1 | (*.f64 z z) |
Compiled 34 to 38 computations (-11.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 33 |
| 1 | 19 | 33 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y))) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) |
| Outputs |
|---|
(*.f64 x #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y))) |
(*.f64 #s(approx (sqrt (- (* y y) (* z z))) (fma.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64) y)) x) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 x y)) |
#s(approx (* x (sqrt (- (* y y) (* z z)))) (*.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 205 | 1144 |
| 0 | 717 | 1088 |
| 0 | 35 | 249 |
| 0 | 58 | 249 |
| 1 | 237 | 249 |
| 2 | 1995 | 249 |
| 0 | 8667 | 249 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
Compiled 65 to 41 computations (36.9% saved)
(negabs x)
(abs z)
Compiled 580 to 388 computations (33.1% saved)
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