Graphics.Rasterific.Shading:$sradialGradientWithFocusShader from Rasterific-0.6.1, B
Time bar (total: 7.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 100% | 99.8% | 0% | 0.2% | 0% | 0% | 0% | 1 |
Compiled 15 to 13 computations (13.3% saved)
| 638.0ms | 8 256× | 0 | valid |
ival-mult: 262.0ms (67.6% of total)ival-sub: 111.0ms (28.6% of total)ival-true: 6.0ms (1.5% of total)exact: 5.0ms (1.3% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 19 | 0 | - | 0 | - | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
| 9 | 0 | - | 0 | - | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 4 binary64)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 z z) t) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) | n*o | 19 | 0 |
-.f64 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) | nan-rescue | 9 | 0 |
| ↳ | (*.f64 x x) | overflow | 56 | |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) | overflow | 92 | |
| ↳ | (-.f64 (*.f64 z z) t) | overflow | 69 | |
| ↳ | (*.f64 z z) | overflow | 69 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 26 | 0 |
| - | 2 | 228 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 26 | 0 | 0 |
| - | 2 | 0 | 228 |
| number | freq |
|---|---|
| 0 | 228 |
| 1 | 28 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 224.0ms | 512× | 0 | valid |
Compiled 99 to 37 computations (62.6% saved)
ival-mult: 12.0ms (68.1% of total)ival-sub: 4.0ms (22.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 190 |
| 1 | 167 | 186 |
| 2 | 622 | 182 |
| 3 | 2744 | 182 |
| 4 | 5045 | 182 |
| 5 | 6397 | 182 |
| 6 | 6827 | 182 |
| 7 | 6936 | 182 |
| 8 | 6953 | 182 |
| 9 | 7292 | 182 |
| 10 | 7468 | 182 |
| 11 | 7468 | 182 |
| 12 | 7468 | 182 |
| 13 | 7468 | 182 |
| 0 | 11 | 13 |
| 0 | 17 | 13 |
| 1 | 28 | 13 |
| 2 | 79 | 13 |
| 3 | 289 | 13 |
| 4 | 699 | 13 |
| 5 | 1232 | 13 |
| 6 | 1853 | 13 |
| 7 | 2190 | 13 |
| 8 | 2259 | 13 |
| 9 | 2265 | 13 |
| 10 | 2265 | 13 |
| 0 | 2265 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
| Outputs |
|---|
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x)) |
(abs z)
(abs x)
Compiled 13 to 11 computations (15.4% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.2% | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 1 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 41 |
| 0 | 17 | 41 |
| 1 | 28 | 41 |
| 2 | 79 | 41 |
| 3 | 289 | 41 |
| 4 | 699 | 41 |
| 5 | 1232 | 41 |
| 6 | 1853 | 41 |
| 7 | 2190 | 41 |
| 8 | 2259 | 41 |
| 9 | 2265 | 41 |
| 10 | 2265 | 41 |
| 0 | 2265 | 40 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
(*.f64 x x) |
x |
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
(*.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
(-.f64 (*.f64 z z) t) |
(*.f64 z z) |
z |
t |
| Outputs |
|---|
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
(*.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal -4 binary64)) |
(*.f64 y #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) y) |
y |
#s(literal 4 binary64) |
(-.f64 (*.f64 z z) t) |
(*.f64 z z) |
z |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0078125 | (-.f64 (*.f64 z z) t) | |
| accuracy | 2.0468646791510294 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) | |
| accuracy | 4.448614241533565 | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
| 48.0ms | 256× | 0 | valid |
Compiled 43 to 13 computations (69.8% saved)
ival-mult: 6.0ms (68.3% of total)ival-sub: 2.0ms (22.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
(*.f64 x x) |
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
(*.f64 y #s(literal 4 binary64)) |
(-.f64 (*.f64 z z) t) |
| Outputs |
|---|
(* -4 (* y (- (pow z 2) t))) |
(- (pow x 2) (* 4 (* y (- (pow z 2) t)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) |
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) |
(* 4 (* y (- (pow z 2) t))) |
(* 4 y) |
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t)))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t))))) |
(- (pow x 2) (* -4 (* t y))) |
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y))) |
(* -4 (* t y)) |
(+ (* -4 (* t y)) (* 4 (* y (pow z 2)))) |
(* -1 t) |
(- (pow z 2) t) |
(* -4 (* y (pow z 2))) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))) |
(* 4 (* y (pow z 2))) |
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2))))) |
(- (pow x 2) (* 4 (* y (pow z 2)))) |
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) |
(+ (* -1 t) (pow z 2)) |
(* 4 (* t y)) |
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))) |
(* t (- (/ (pow z 2) t) 1)) |
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y)))) |
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))) |
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | y | @ | -inf | ((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t)) |
| 1.0ms | y | @ | 0 | ((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t)) |
| 1.0ms | y | @ | inf | ((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t)) |
| 1.0ms | x | @ | 0 | ((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t)) |
| 1.0ms | z | @ | inf | ((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4) (- (* z z) t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 296 |
| 1 | 248 | 292 |
| 2 | 830 | 292 |
| 3 | 3721 | 284 |
| 4 | 7665 | 284 |
| 0 | 8054 | 271 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (* y (- (pow z 2) t))) |
(- (pow x 2) (* 4 (* y (- (pow z 2) t)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) |
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) |
(* 4 (* y (- (pow z 2) t))) |
(* 4 y) |
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t)))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t))))) |
(- (pow x 2) (* -4 (* t y))) |
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y))) |
(* -4 (* t y)) |
(+ (* -4 (* t y)) (* 4 (* y (pow z 2)))) |
(* -1 t) |
(- (pow z 2) t) |
(* -4 (* y (pow z 2))) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))) |
(* 4 (* y (pow z 2))) |
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2))))) |
(- (pow x 2) (* 4 (* y (pow z 2)))) |
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) |
(+ (* -1 t) (pow z 2)) |
(* 4 (* t y)) |
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))) |
(* t (- (/ (pow z 2) t) 1)) |
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y)))) |
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))) |
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t))))) |
| Outputs |
|---|
(* -4 (* y (- (pow z 2) t))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) |
(- (pow x 2) (* 4 (* y (- (pow z 2) t)))) |
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) |
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x)) |
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) |
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x)) |
(* 4 (* y (- (pow z 2) t))) |
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y)) |
(* 4 y) |
(*.f64 #s(literal 4 binary64) y) |
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y) |
(- (pow x 2) (* -4 (* t y))) |
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) |
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y))) |
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x)) |
(* -4 (* t y)) |
(*.f64 (*.f64 t y) #s(literal -4 binary64)) |
(+ (* -4 (* t y)) (* 4 (* y (pow z 2)))) |
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y)) |
(* -1 t) |
(neg.f64 t) |
(- (pow z 2) t) |
(-.f64 (*.f64 z z) t) |
(* -4 (* y (pow z 2))) |
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x z) z) x (*.f64 #s(literal -4 binary64) y)) (*.f64 z z) (*.f64 (*.f64 t y) #s(literal 4 binary64))) |
(* 4 (* y (pow z 2))) |
(*.f64 (*.f64 (*.f64 z z) y) #s(literal 4 binary64)) |
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))) |
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y)) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2))))) |
(-.f64 (*.f64 z z) t) |
(- (pow x 2) (* 4 (* y (pow z 2)))) |
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) |
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) |
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x)) |
(+ (* -1 t) (pow z 2)) |
(-.f64 (*.f64 z z) t) |
(* 4 (* t y)) |
(*.f64 (*.f64 t y) #s(literal 4 binary64)) |
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(fma.f64 (/.f64 (*.f64 x x) t) t (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))) |
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y)) |
(* t (- (/ (pow z 2) t) 1)) |
(-.f64 (*.f64 z z) t) |
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y)))) |
(fma.f64 (/.f64 (*.f64 x x) t) t (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))) |
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y)) |
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t))))) |
(-.f64 (*.f64 z z) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 33 |
| 0 | 17 | 33 |
| 1 | 56 | 33 |
| 2 | 422 | 33 |
| 3 | 5373 | 33 |
| 0 | 8540 | 32 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
(*.f64 x x) |
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
(*.f64 y #s(literal 4 binary64)) |
(-.f64 (*.f64 z z) t) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))) (-.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
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(/.f64 (-.f64 (*.f64 t t) (pow.f64 z #s(literal 4 binary64))) (-.f64 (neg.f64 t) (*.f64 z z))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) #s(literal 3 binary64)) (pow.f64 (*.f64 t (/.f64 t (fma.f64 z z t))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 t (/.f64 t (fma.f64 z z t))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (*.f64 t (/.f64 t (fma.f64 z z t))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 z z t)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 t #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 t t (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z t))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 t #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 t t (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))) (fma.f64 z z t))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 t #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 t #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 t #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 12 binary64))) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 z z t)) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (*.f64 (fma.f64 z z t) (*.f64 t t))) (pow.f64 (fma.f64 z z t) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 t #s(literal 4 binary64))) (*.f64 (fma.f64 z z t) (fma.f64 t t (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 t #s(literal 6 binary64))) (*.f64 (fma.f64 z z t) (fma.f64 (*.f64 t t) (fma.f64 t t (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 t #s(literal 6 binary64))) (*.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 t #s(literal 9 binary64))) (*.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) (fma.f64 (pow.f64 t #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 12 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 z z t))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z t)) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 t) (*.f64 z z))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) |
(neg.f64 (neg.f64 (-.f64 (*.f64 z z) t))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (*.f64 (fma.f64 z z t) t) #s(literal 2 binary64)))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 z z t) t)) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 z z t) t) #s(literal 3 binary64)) (pow.f64 z #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 z z t) t) (-.f64 (*.f64 (fma.f64 z z t) t) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (-.f64 t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t))))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))) (-.f64 (*.f64 z z) t) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t))))) |
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (neg.f64 t)) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 z (fma.f64 z z t)) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t))))) |
(fma.f64 #s(literal -1 binary64) t (*.f64 z z)) |
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 z z) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t))))) |
(fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 t #s(literal -1 binary64) (*.f64 z z)) |
(fma.f64 (*.f64 z z) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 z z) (/.f64 (*.f64 z z) (fma.f64 z z t)) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t))))) |
(fma.f64 z (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z t)) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t))))) |
(fma.f64 z z (neg.f64 t)) |
(-.f64 (fma.f64 z z #s(literal 0 binary64)) t) |
(-.f64 #s(literal 0 binary64) (-.f64 t (*.f64 z z))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (*.f64 t (/.f64 t (fma.f64 z z t)))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))) |
(-.f64 (*.f64 z z) t) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t))))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))) |
(+.f64 (neg.f64 t) (*.f64 z z)) |
(+.f64 (*.f64 z z) (neg.f64 t)) |
Compiled 8 611 to 891 computations (89.7% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 272 | 7 | 279 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 273 | 7 | 280 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.9% | (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))) |
| 90.2% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x)) #s(literal -1 binary64))) | |
| 66.9% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))) | |
| ▶ | 65.2% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))) |
| ▶ | 63.6% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
| ▶ | 38.8% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) |
| ▶ | 30.0% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) |
Compiled 282 to 214 computations (24.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 z z) t) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 z z) t) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) | |
| cost-diff | 0 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 t y) | |
| cost-diff | 0 | (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 (*.f64 z z) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) | |
| cost-diff | 0 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) | |
| cost-diff | 0 | (*.f64 t y) | |
| cost-diff | 0 | (*.f64 (*.f64 t y) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -4 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -4 binary64) y) z) | |
| cost-diff | 1 | (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)) | |
| cost-diff | 3 | (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 207 |
| 0 | 50 | 208 |
| 1 | 93 | 205 |
| 2 | 198 | 203 |
| 3 | 471 | 203 |
| 4 | 859 | 203 |
| 5 | 1303 | 203 |
| 6 | 1704 | 203 |
| 7 | 1894 | 203 |
| 8 | 1939 | 203 |
| 9 | 1945 | 203 |
| 10 | 1945 | 203 |
| 0 | 1945 | 198 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal -4 binary64) y) z) |
(*.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
y |
z |
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)) |
(*.f64 (neg.f64 t) y) |
(neg.f64 t) |
t |
(*.f64 x x) |
x |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) |
(*.f64 (*.f64 t y) #s(literal 4 binary64)) |
(*.f64 t y) |
t |
y |
#s(literal 4 binary64) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) |
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
#s(literal -4 binary64) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 t y) |
t |
y |
#s(literal 4 binary64) |
(*.f64 x x) |
x |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) |
(*.f64 (-.f64 (*.f64 z z) t) y) |
(-.f64 (*.f64 z z) t) |
(*.f64 z z) |
z |
t |
y |
#s(literal -4 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal -4 binary64) y) z) |
(*.f64 z (*.f64 y #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) y) |
(*.f64 y #s(literal -4 binary64)) |
#s(literal -4 binary64) |
y |
z |
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) |
(*.f64 (neg.f64 t) y) |
(neg.f64 t) |
t |
(*.f64 x x) |
x |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) |
(*.f64 (*.f64 t y) #s(literal 4 binary64)) |
(*.f64 t y) |
t |
y |
#s(literal 4 binary64) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) |
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
#s(literal -4 binary64) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) |
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) |
(*.f64 t y) |
t |
y |
#s(literal 4 binary64) |
(*.f64 x x) |
x |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) |
(*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)) |
(*.f64 (-.f64 (*.f64 z z) t) y) |
(*.f64 (fma.f64 z z (neg.f64 t)) y) |
(-.f64 (*.f64 z z) t) |
(fma.f64 z z (neg.f64 t)) |
(*.f64 z z) |
z |
t |
y |
#s(literal -4 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 z z) | |
| accuracy | 0.0078125 | (-.f64 (*.f64 z z) t) | |
| accuracy | 4.451837715276055 | (*.f64 (-.f64 (*.f64 z z) t) y) | |
| accuracy | 20.768118206168083 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (*.f64 t y) | |
| accuracy | 0.21322250976844204 | (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) | |
| accuracy | 21.9989971085294 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))) | |
| accuracy | 0.0 | (*.f64 z z) | |
| accuracy | 0.03582001953688403 | (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) | |
| accuracy | 8.07099975773209 | (*.f64 (*.f64 z z) y) | |
| accuracy | 36.60185667310403 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) | |
| accuracy | 0.0 | (*.f64 t y) | |
| accuracy | 0.024101269536884032 | (*.f64 (*.f64 t y) #s(literal 4 binary64)) | |
| accuracy | 44.799158383132216 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal -4 binary64) y) | |
| accuracy | 0.0 | (neg.f64 t) | |
| accuracy | 0.21322250976844204 | (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)) | |
| accuracy | 2.9179460436281213 | (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))) |
| 321.0ms | 256× | 0 | valid |
Compiled 180 to 29 computations (83.9% saved)
ival-neg: 207.0ms (69.1% of total)ival-mult: 87.0ms (29% of total)ival-add: 3.0ms (1% of total)ival-sub: 2.0ms (0.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal -4 binary64) y) z) |
(*.f64 #s(literal -4 binary64) y) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) |
(*.f64 (*.f64 t y) #s(literal 4 binary64)) |
(*.f64 t y) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) |
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) |
(*.f64 (-.f64 (*.f64 z z) t) y) |
(-.f64 (*.f64 z z) t) |
(neg.f64 t) |
| Outputs |
|---|
(+ (* -4 (* y (pow z 2))) (* 4 (* t y))) |
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) |
(* 4 (* t y)) |
(+ (* 4 (* t y)) (pow x 2)) |
(* -4 (* y (- (pow z 2) t))) |
(- (pow x 2) (* 4 (* y (- (pow z 2) t)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2)))))) |
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) |
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2)) |
(* -4 (* y z)) |
(* -4 y) |
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) |
(* t y) |
(* -4 (* y (pow z 2))) |
(* y (pow z 2)) |
(* y (- (pow z 2) t)) |
(* y (+ (* -4 (pow z 2)) (* 4 t))) |
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y)))) |
(* y (+ (* 4 t) (/ (pow x 2) y))) |
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t)))) |
(* -1 (* y (+ (* -4 t) (* 4 (pow z 2))))) |
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))) |
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t))))) |
(- (pow x 2) (* -4 (* t y))) |
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y))) |
(pow z 2) |
(* -1 (* t y)) |
(+ (* -1 (* t y)) (* y (pow z 2))) |
(* -1 t) |
(- (pow z 2) t) |
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2))))) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))) |
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2))))) |
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2))))) |
(+ (* -4 (* y (pow z 2))) (pow x 2)) |
(- (pow x 2) (* 4 (* y (pow z 2)))) |
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) |
(+ (* -1 t) (pow z 2)) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t)))) |
(* t (+ (* 4 y) (/ (pow x 2) t))) |
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))) |
(* t (+ (* -1 y) (/ (* y (pow z 2)) t))) |
(* t (- (/ (pow z 2) t) 1)) |
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t))))) |
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t))))) |
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y)))) |
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 73.0ms | z | @ | -inf | ((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (neg t)) |
| 20.0ms | t | @ | -inf | ((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (neg t)) |
| 4.0ms | t | @ | inf | ((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (neg t)) |
| 3.0ms | y | @ | -inf | ((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (neg t)) |
| 3.0ms | y | @ | inf | ((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (neg t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 144 | 598 |
| 1 | 480 | 552 |
| 2 | 1551 | 504 |
| 3 | 5120 | 498 |
| 0 | 8384 | 469 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* -4 (* y (pow z 2))) (* 4 (* t y))) |
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) |
(* 4 (* t y)) |
(+ (* 4 (* t y)) (pow x 2)) |
(* -4 (* y (- (pow z 2) t))) |
(- (pow x 2) (* 4 (* y (- (pow z 2) t)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2)))))) |
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) |
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2)) |
(* -4 (* y z)) |
(* -4 y) |
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) |
(* t y) |
(* -4 (* y (pow z 2))) |
(* y (pow z 2)) |
(* y (- (pow z 2) t)) |
(* y (+ (* -4 (pow z 2)) (* 4 t))) |
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y)))) |
(* y (+ (* 4 t) (/ (pow x 2) y))) |
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t)))) |
(* -1 (* y (+ (* -4 t) (* 4 (pow z 2))))) |
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))) |
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t))))) |
(- (pow x 2) (* -4 (* t y))) |
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y))) |
(pow z 2) |
(* -1 (* t y)) |
(+ (* -1 (* t y)) (* y (pow z 2))) |
(* -1 t) |
(- (pow z 2) t) |
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2))))) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))) |
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2))))) |
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2))))) |
(+ (* -4 (* y (pow z 2))) (pow x 2)) |
(- (pow x 2) (* 4 (* y (pow z 2)))) |
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) |
(+ (* -1 t) (pow z 2)) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t)))) |
(* t (+ (* 4 y) (/ (pow x 2) t))) |
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))) |
(* t (+ (* -1 y) (/ (* y (pow z 2)) t))) |
(* t (- (/ (pow z 2) t) 1)) |
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t))))) |
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t))))) |
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y)))) |
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t))))) |
| Outputs |
|---|
(+ (* -4 (* y (pow z 2))) (* 4 (* t y))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) |
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) |
(* 4 (* t y)) |
(*.f64 (*.f64 t y) #s(literal 4 binary64)) |
(+ (* 4 (* t y)) (pow x 2)) |
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) |
(* -4 (* y (- (pow z 2) t))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) |
(- (pow x 2) (* 4 (* y (- (pow z 2) t)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2)))))) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) |
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) |
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2)) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) |
(* -4 (* y z)) |
(*.f64 (*.f64 z y) #s(literal -4 binary64)) |
(* -4 y) |
(*.f64 #s(literal -4 binary64) y) |
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) |
(* t y) |
(*.f64 t y) |
(* -4 (* y (pow z 2))) |
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) y) |
(* y (- (pow z 2) t)) |
(*.f64 (-.f64 (*.f64 z z) t) y) |
(* y (+ (* -4 (pow z 2)) (* 4 t))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) |
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) |
(* y (+ (* 4 t) (/ (pow x 2) y))) |
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) |
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) |
(* -1 (* y (+ (* -4 t) (* 4 (pow z 2))))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) |
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) |
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y))))) |
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t))))) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) |
(- (pow x 2) (* -4 (* t y))) |
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) |
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y))) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) |
(pow z 2) |
(*.f64 z z) |
(* -1 (* t y)) |
(*.f64 (neg.f64 y) t) |
(+ (* -1 (* t y)) (* y (pow z 2))) |
(*.f64 (-.f64 (*.f64 z z) t) y) |
(* -1 t) |
(neg.f64 t) |
(- (pow z 2) t) |
(-.f64 (*.f64 z z) t) |
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x z) z) x (*.f64 #s(literal -4 binary64) y)) (*.f64 z z) (*.f64 (*.f64 t y) #s(literal 4 binary64))) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x z) z) x (*.f64 #s(literal -4 binary64) y)) (*.f64 z z) (*.f64 (*.f64 t y) #s(literal 4 binary64))) |
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2))))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) |
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2))))) |
(*.f64 (-.f64 (*.f64 z z) t) y) |
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2))))) |
(-.f64 (*.f64 z z) t) |
(+ (* -4 (* y (pow z 2))) (pow x 2)) |
(fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z (*.f64 x x)) |
(- (pow x 2) (* 4 (* y (pow z 2)))) |
(fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z (*.f64 x x)) |
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) |
(+ (* -1 t) (pow z 2)) |
(-.f64 (*.f64 z z) t) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) |
(* t (+ (* 4 y) (/ (pow x 2) t))) |
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) |
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) |
(* t (+ (* -1 y) (/ (* y (pow z 2)) t))) |
(*.f64 (-.f64 (*.f64 z z) t) y) |
(* t (- (/ (pow z 2) t) 1)) |
(-.f64 (*.f64 z z) t) |
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t))))) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) |
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t))))) |
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) |
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) |
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) |
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t))))) |
(*.f64 (-.f64 (*.f64 z z) t) y) |
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t))))) |
(-.f64 (*.f64 z z) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 175 |
| 0 | 50 | 176 |
| 1 | 153 | 173 |
| 2 | 1055 | 171 |
| 0 | 8943 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal -4 binary64) y) z) |
(*.f64 #s(literal -4 binary64) y) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) |
(*.f64 (*.f64 t y) #s(literal 4 binary64)) |
(*.f64 t y) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) |
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) |
(*.f64 (-.f64 (*.f64 z z) t) y) |
(-.f64 (*.f64 z z) t) |
(neg.f64 t) |
| Outputs |
|---|
(*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 (neg.f64 x) x)))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)) (*.f64 x x)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 binary64)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 binary64)) #s(literal 64 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 z z) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))))) (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 t y) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 t y) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))))) (-.f64 (*.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64)) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 t #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) (fma.f64 z z t))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 t #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 8 binary64)) (+.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z z) t) #s(literal 2 binary64)))) (fma.f64 z z t))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 t #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 t #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 12 binary64)) (+.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z z) t) #s(literal 3 binary64)))) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (*.f64 (fma.f64 z z t) (*.f64 t t))) (*.f64 (fma.f64 z z t) (fma.f64 z z t))) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 t t) (*.f64 (*.f64 z z) (neg.f64 t)))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t))) (neg.f64 (fma.f64 z z t))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 t t) (*.f64 (*.f64 z z) (neg.f64 t)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) (fma.f64 z z t)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 t t) (*.f64 (*.f64 z z) (neg.f64 t))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) |
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (neg.f64 t)) |
(fma.f64 (neg.f64 (*.f64 t t)) (/.f64 #s(literal 1 binary64) t) (*.f64 z z)) |
(fma.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64))) (*.f64 z z)) |
(fma.f64 #s(literal -1 binary64) t (*.f64 z z)) |
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 t t) (fma.f64 z z t)))) |
(fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))))) |
(fma.f64 t #s(literal -1 binary64) (*.f64 z z)) |
(fma.f64 z z (neg.f64 t)) |
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (/.f64 (*.f64 t t) (fma.f64 z z t))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))))) |
(-.f64 (*.f64 z z) t) |
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (neg.f64 (/.f64 (*.f64 t t) (fma.f64 z z t)))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))))) |
(+.f64 (*.f64 z z) (neg.f64 t)) |
(+.f64 (neg.f64 t) (*.f64 z z)) |
(*.f64 (neg.f64 (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) t) |
(*.f64 t #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 t t))) (neg.f64 t)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64))) (neg.f64 (fma.f64 t t #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 t t)) (-.f64 #s(literal 0 binary64) (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 t t)) t) |
(/.f64 #s(literal 1 binary64) (/.f64 t (neg.f64 (*.f64 t t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (pow.f64 (neg.f64 t) #s(literal 3 binary64)))) |
(/.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 t t) (*.f64 #s(literal 0 binary64) (neg.f64 t))))) |
(/.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64)) (fma.f64 t t #s(literal 0 binary64))) |
(neg.f64 t) |
(-.f64 (/.f64 #s(literal 0 binary64) t) (/.f64 (*.f64 t t) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t t #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) t) |
(+.f64 #s(literal 0 binary64) (neg.f64 t)) |
Compiled 15 511 to 1 541 computations (90.1% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 464 | 4 | 468 |
| Fresh | 2 | 0 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 468 | 7 | 475 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x)))) |
| ▶ | 65.6% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) |
| ✓ | 63.6% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
| ✓ | 38.8% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) |
| ▶ | 42.8% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) |
| ✓ | 30.0% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) |
| ▶ | 30.0% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
Compiled 141 to 108 computations (23.4% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x))) | |
| cost-diff | 4 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal 4 binary64) t) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (*.f64 (*.f64 z y) z) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)) | |
| cost-diff | 0 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) | |
| cost-diff | 0 | (*.f64 t #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 t #s(literal 4 binary64)) y) | |
| cost-diff | 0 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 174 |
| 0 | 46 | 170 |
| 1 | 84 | 167 |
| 2 | 180 | 167 |
| 3 | 538 | 167 |
| 4 | 1181 | 167 |
| 5 | 1593 | 167 |
| 6 | 2194 | 167 |
| 7 | 2445 | 167 |
| 8 | 2517 | 167 |
| 9 | 2522 | 167 |
| 10 | 2523 | 167 |
| 0 | 2523 | 167 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
(*.f64 (*.f64 t #s(literal 4 binary64)) y) |
(*.f64 t #s(literal 4 binary64)) |
t |
#s(literal 4 binary64) |
y |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) |
(*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)) |
(*.f64 (*.f64 z y) z) |
(*.f64 z y) |
z |
y |
#s(literal -4 binary64) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) t) |
#s(literal 4 binary64) |
t |
y |
(*.f64 x x) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x))) |
(fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x)) |
(*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) |
(fma.f64 z z (neg.f64 t)) |
z |
(neg.f64 t) |
t |
#s(literal -4 binary64) |
y |
(*.f64 x x) |
x |
| Outputs |
|---|
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) |
(*.f64 (*.f64 t #s(literal 4 binary64)) y) |
(*.f64 (*.f64 t y) #s(literal 4 binary64)) |
(*.f64 t #s(literal 4 binary64)) |
t |
#s(literal 4 binary64) |
y |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 z y) z))) |
(*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) (*.f64 (*.f64 z y) z)) |
(*.f64 (*.f64 z y) z) |
(*.f64 z y) |
z |
y |
#s(literal -4 binary64) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) |
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) t) |
(*.f64 t #s(literal 4 binary64)) |
#s(literal 4 binary64) |
t |
y |
(*.f64 x x) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x)))) |
(fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x))) |
(fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x)) |
(*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) |
(fma.f64 z z (neg.f64 t)) |
z |
(neg.f64 t) |
t |
#s(literal -4 binary64) |
y |
(*.f64 x x) |
x |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 t) | |
| accuracy | 0.12109375 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x)))) | |
| accuracy | 0.18648444482668114 | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x))) | |
| accuracy | 5.742092894735213 | (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (*.f64 #s(literal 4 binary64) t) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) | |
| accuracy | 21.9989971085294 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.03582001953688403 | (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)) | |
| accuracy | 0.09375 | (*.f64 (*.f64 z y) z) | |
| accuracy | 36.60185667310403 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) | |
| accuracy | 0.0 | (*.f64 (*.f64 t #s(literal 4 binary64)) y) | |
| accuracy | 0.0 | (*.f64 t #s(literal 4 binary64)) | |
| accuracy | 44.799158383132216 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
| 120.0ms | 256× | 0 | valid |
Compiled 162 to 30 computations (81.5% saved)
ival-div: 38.0ms (59.7% of total)ival-mult: 18.0ms (28.3% of total)ival-add: 3.0ms (4.7% of total)ival-sub: 2.0ms (3.1% of total)ival-neg: 1.0ms (1.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
(*.f64 (*.f64 t #s(literal 4 binary64)) y) |
(*.f64 t #s(literal 4 binary64)) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) |
(*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)) |
(*.f64 (*.f64 z y) z) |
(*.f64 z y) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) t) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x))) |
(fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x)) |
(*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) |
(neg.f64 t) |
| Outputs |
|---|
(* -4 (* y (- (pow z 2) t))) |
(- (pow x 2) (* 4 (* y (- (pow z 2) t)))) |
(* 4 (* t y)) |
(+ (* 4 (* t y)) (pow x 2)) |
(pow x 2) |
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) |
(/ -1/4 (* y (- (pow z 2) t))) |
(- (* -1/16 (/ (pow x 2) (* (pow y 2) (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (* y (- (pow z 2) t))))) |
(- (* (pow x 2) (- (* -1/64 (/ (pow x 2) (* (pow y 3) (pow (- (pow z 2) t) 3)))) (* 1/16 (/ 1 (* (pow y 2) (pow (- (pow z 2) t) 2)))))) (* 1/4 (/ 1 (* y (- (pow z 2) t))))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/256 (/ (pow x 2) (* (pow y 4) (pow (- (pow z 2) t) 4)))) (* 1/64 (/ 1 (* (pow y 3) (pow (- (pow z 2) t) 3)))))) (* 1/16 (/ 1 (* (pow y 2) (pow (- (pow z 2) t) 2)))))) (* 1/4 (/ 1 (* y (- (pow z 2) t))))) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* 4 (/ (* y (- (pow z 2) t)) (pow x 2)))) (pow x 2)) |
(/ (- (+ 1 (* 16 (/ (* (pow y 2) (pow (- (pow z 2) t) 2)) (pow x 4)))) (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))) (pow x 2)) |
(/ (- (+ 1 (* 64 (/ (* (pow y 3) (pow (- (pow z 2) t) 3)) (pow x 6)))) (+ (* -16 (/ (* (pow y 2) (pow (- (pow z 2) t) 2)) (pow x 4))) (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) (pow x 2)) |
(* -4 (* y (pow z 2))) |
(* y (pow z 2)) |
(* y z) |
(+ (* 4 (/ (* y (- (pow z 2) t)) (pow x 4))) (/ 1 (pow x 2))) |
(+ (* y (- (* 16 (/ (* y (pow (- (pow z 2) t) 2)) (pow x 6))) (* -4 (/ (- (pow z 2) t) (pow x 4))))) (/ 1 (pow x 2))) |
(+ (* y (- (* y (- (* 64 (/ (* y (pow (- (pow z 2) t) 3)) (pow x 8))) (* -16 (/ (pow (- (pow z 2) t) 2) (pow x 6))))) (* -4 (/ (- (pow z 2) t) (pow x 4))))) (/ 1 (pow x 2))) |
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t)))) |
(* y (+ (* 4 t) (/ (pow x 2) y))) |
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y))) |
(/ (- (* -1/16 (/ (pow x 2) (* y (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (- (pow z 2) t)))) y) |
(/ (- (* -1/64 (/ (pow x 4) (* (pow y 2) (pow (- (pow z 2) t) 3)))) (+ (* 1/16 (/ (pow x 2) (* y (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (- (pow z 2) t))))) y) |
(/ (- (* -1/256 (/ (pow x 6) (* (pow y 3) (pow (- (pow z 2) t) 4)))) (+ (* 1/64 (/ (pow x 4) (* (pow y 2) (pow (- (pow z 2) t) 3)))) (+ (* 1/16 (/ (pow x 2) (* y (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (- (pow z 2) t)))))) y) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t))))) |
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t))))) |
(* -1 (/ (+ (* 1/16 (/ (pow x 2) (* y (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (- (pow z 2) t)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow x 4) (* y (pow (- (pow z 2) t) 3)))) (* 1/16 (/ (pow x 2) (pow (- (pow z 2) t) 2)))) y)) (* 1/4 (/ 1 (- (pow z 2) t)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow x 6) (* y (pow (- (pow z 2) t) 4)))) (* -1/64 (/ (pow x 4) (pow (- (pow z 2) t) 3)))) y)) (* 1/16 (/ (pow x 2) (pow (- (pow z 2) t) 2)))) y)) (* 1/4 (/ 1 (- (pow z 2) t)))) y)) |
(- (pow x 2) (* -4 (* t y))) |
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y))) |
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) |
(/ 1 (+ (* 4 (* t y)) (pow x 2))) |
(+ (* 4 (/ (* y (pow z 2)) (pow (+ (* 4 (* t y)) (pow x 2)) 2))) (/ 1 (+ (* 4 (* t y)) (pow x 2)))) |
(+ (* (pow z 2) (- (* 16 (/ (* (pow y 2) (pow z 2)) (pow (+ (* 4 (* t y)) (pow x 2)) 3))) (* -4 (/ y (pow (+ (* 4 (* t y)) (pow x 2)) 2))))) (/ 1 (+ (* 4 (* t y)) (pow x 2)))) |
(+ (* (pow z 2) (- (* (pow z 2) (- (* 64 (/ (* (pow y 3) (pow z 2)) (pow (+ (* 4 (* t y)) (pow x 2)) 4))) (* -16 (/ (pow y 2) (pow (+ (* 4 (* t y)) (pow x 2)) 3))))) (* -4 (/ y (pow (+ (* 4 (* t y)) (pow x 2)) 2))))) (/ 1 (+ (* 4 (* t y)) (pow x 2)))) |
(* 4 t) |
(+ (* -4 (pow z 2)) (* 4 t)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))) |
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2))))) |
(/ -1/4 (* y (pow z 2))) |
(/ (- (* -1/16 (/ (+ (* 4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y))) (pow z 2)) |
(/ (- (* -1/64 (/ (pow (+ (* 4 (* t y)) (pow x 2)) 2) (* (pow y 3) (pow z 4)))) (+ (* 1/16 (/ (+ (* 4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y)))) (pow z 2)) |
(/ (- (* -1/256 (/ (pow (+ (* 4 (* t y)) (pow x 2)) 3) (* (pow y 4) (pow z 6)))) (+ (* 1/64 (/ (pow (+ (* 4 (* t y)) (pow x 2)) 2) (* (pow y 3) (pow z 4)))) (+ (* 1/16 (/ (+ (* 4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y))))) (pow z 2)) |
(* -4 (pow z 2)) |
(* (pow z 2) (- (* 4 (/ t (pow z 2))) 4)) |
(- (pow x 2) (* 4 (* y (pow z 2)))) |
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) |
(+ (* -4 (* y (pow z 2))) (pow x 2)) |
(/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2))) |
(+ (* -4 (/ (* t y) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2))) (/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2)))) |
(+ (* t (- (* 16 (/ (* t (pow y 2)) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3))) (* 4 (/ y (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2))))) (/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2)))) |
(+ (* t (- (* t (- (* -64 (/ (* t (pow y 3)) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 4))) (* -16 (/ (pow y 2) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3))))) (* 4 (/ y (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2))))) (/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2)))) |
(* -1 t) |
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(* t (+ (* 4 y) (/ (pow x 2) t))) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t)))) |
(/ 1/4 (* t y)) |
(/ (+ (* -1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2)))) (* 1/4 (/ 1 y))) t) |
(/ (- (+ (* 1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (* (pow t 2) (pow y 3)))) (* 1/4 (/ 1 y))) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2))))) t) |
(/ (- (+ (* -1/256 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3) (* (pow t 3) (pow y 4)))) (* 1/4 (/ 1 y))) (+ (* -1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (* (pow t 2) (pow y 3)))) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2)))))) t) |
(* t (+ 4 (* -4 (/ (pow z 2) t)))) |
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y)))) |
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t))))) |
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t))))) |
(* -1 (/ (- (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2)))) (* 1/4 (/ 1 y))) t)) |
(* -1 (/ (- (* -1 (/ (- (* 1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (* t (pow y 3)))) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (pow y 2)))) t)) (* 1/4 (/ 1 y))) t)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3) (* t (pow y 4)))) (* 1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (pow y 3)))) t)) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (pow y 2)))) t)) (* 1/4 (/ 1 y))) t)) |
(* -1 (* t (- (* 4 (/ (pow z 2) t)) 4))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | x | @ | inf | ((- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z y) z) -4) (* (* z y) z) (* z y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* 4 t) y) (* x x)) (* 4 t) (* x x) (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)) (* (+ (* z z) (neg t)) -4) (neg t)) |
| 2.0ms | z | @ | inf | ((- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z y) z) -4) (* (* z y) z) (* z y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* 4 t) y) (* x x)) (* 4 t) (* x x) (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)) (* (+ (* z z) (neg t)) -4) (neg t)) |
| 2.0ms | y | @ | -inf | ((- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z y) z) -4) (* (* z y) z) (* z y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* 4 t) y) (* x x)) (* 4 t) (* x x) (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)) (* (+ (* z z) (neg t)) -4) (neg t)) |
| 2.0ms | y | @ | inf | ((- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z y) z) -4) (* (* z y) z) (* z y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* 4 t) y) (* x x)) (* 4 t) (* x x) (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)) (* (+ (* z z) (neg t)) -4) (neg t)) |
| 2.0ms | y | @ | 0 | ((- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z y) z) -4) (* (* z y) z) (* z y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* 4 t) y) (* x x)) (* 4 t) (* x x) (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)) (* (+ (* z z) (neg t)) -4) (neg t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 366 | 1890 |
| 1 | 1087 | 1868 |
| 2 | 3737 | 1847 |
| 0 | 8091 | 1725 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (* y (- (pow z 2) t))) |
(- (pow x 2) (* 4 (* y (- (pow z 2) t)))) |
(* 4 (* t y)) |
(+ (* 4 (* t y)) (pow x 2)) |
(pow x 2) |
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) |
(/ -1/4 (* y (- (pow z 2) t))) |
(- (* -1/16 (/ (pow x 2) (* (pow y 2) (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (* y (- (pow z 2) t))))) |
(- (* (pow x 2) (- (* -1/64 (/ (pow x 2) (* (pow y 3) (pow (- (pow z 2) t) 3)))) (* 1/16 (/ 1 (* (pow y 2) (pow (- (pow z 2) t) 2)))))) (* 1/4 (/ 1 (* y (- (pow z 2) t))))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/256 (/ (pow x 2) (* (pow y 4) (pow (- (pow z 2) t) 4)))) (* 1/64 (/ 1 (* (pow y 3) (pow (- (pow z 2) t) 3)))))) (* 1/16 (/ 1 (* (pow y 2) (pow (- (pow z 2) t) 2)))))) (* 1/4 (/ 1 (* y (- (pow z 2) t))))) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* 4 (/ (* y (- (pow z 2) t)) (pow x 2)))) (pow x 2)) |
(/ (- (+ 1 (* 16 (/ (* (pow y 2) (pow (- (pow z 2) t) 2)) (pow x 4)))) (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))) (pow x 2)) |
(/ (- (+ 1 (* 64 (/ (* (pow y 3) (pow (- (pow z 2) t) 3)) (pow x 6)))) (+ (* -16 (/ (* (pow y 2) (pow (- (pow z 2) t) 2)) (pow x 4))) (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) (pow x 2)) |
(* -4 (* y (pow z 2))) |
(* y (pow z 2)) |
(* y z) |
(+ (* 4 (/ (* y (- (pow z 2) t)) (pow x 4))) (/ 1 (pow x 2))) |
(+ (* y (- (* 16 (/ (* y (pow (- (pow z 2) t) 2)) (pow x 6))) (* -4 (/ (- (pow z 2) t) (pow x 4))))) (/ 1 (pow x 2))) |
(+ (* y (- (* y (- (* 64 (/ (* y (pow (- (pow z 2) t) 3)) (pow x 8))) (* -16 (/ (pow (- (pow z 2) t) 2) (pow x 6))))) (* -4 (/ (- (pow z 2) t) (pow x 4))))) (/ 1 (pow x 2))) |
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t)))) |
(* y (+ (* 4 t) (/ (pow x 2) y))) |
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y))) |
(/ (- (* -1/16 (/ (pow x 2) (* y (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (- (pow z 2) t)))) y) |
(/ (- (* -1/64 (/ (pow x 4) (* (pow y 2) (pow (- (pow z 2) t) 3)))) (+ (* 1/16 (/ (pow x 2) (* y (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (- (pow z 2) t))))) y) |
(/ (- (* -1/256 (/ (pow x 6) (* (pow y 3) (pow (- (pow z 2) t) 4)))) (+ (* 1/64 (/ (pow x 4) (* (pow y 2) (pow (- (pow z 2) t) 3)))) (+ (* 1/16 (/ (pow x 2) (* y (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (- (pow z 2) t)))))) y) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t))))) |
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t))))) |
(* -1 (/ (+ (* 1/16 (/ (pow x 2) (* y (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (- (pow z 2) t)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow x 4) (* y (pow (- (pow z 2) t) 3)))) (* 1/16 (/ (pow x 2) (pow (- (pow z 2) t) 2)))) y)) (* 1/4 (/ 1 (- (pow z 2) t)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow x 6) (* y (pow (- (pow z 2) t) 4)))) (* -1/64 (/ (pow x 4) (pow (- (pow z 2) t) 3)))) y)) (* 1/16 (/ (pow x 2) (pow (- (pow z 2) t) 2)))) y)) (* 1/4 (/ 1 (- (pow z 2) t)))) y)) |
(- (pow x 2) (* -4 (* t y))) |
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y))) |
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) |
(/ 1 (+ (* 4 (* t y)) (pow x 2))) |
(+ (* 4 (/ (* y (pow z 2)) (pow (+ (* 4 (* t y)) (pow x 2)) 2))) (/ 1 (+ (* 4 (* t y)) (pow x 2)))) |
(+ (* (pow z 2) (- (* 16 (/ (* (pow y 2) (pow z 2)) (pow (+ (* 4 (* t y)) (pow x 2)) 3))) (* -4 (/ y (pow (+ (* 4 (* t y)) (pow x 2)) 2))))) (/ 1 (+ (* 4 (* t y)) (pow x 2)))) |
(+ (* (pow z 2) (- (* (pow z 2) (- (* 64 (/ (* (pow y 3) (pow z 2)) (pow (+ (* 4 (* t y)) (pow x 2)) 4))) (* -16 (/ (pow y 2) (pow (+ (* 4 (* t y)) (pow x 2)) 3))))) (* -4 (/ y (pow (+ (* 4 (* t y)) (pow x 2)) 2))))) (/ 1 (+ (* 4 (* t y)) (pow x 2)))) |
(* 4 t) |
(+ (* -4 (pow z 2)) (* 4 t)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))) |
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2))))) |
(/ -1/4 (* y (pow z 2))) |
(/ (- (* -1/16 (/ (+ (* 4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y))) (pow z 2)) |
(/ (- (* -1/64 (/ (pow (+ (* 4 (* t y)) (pow x 2)) 2) (* (pow y 3) (pow z 4)))) (+ (* 1/16 (/ (+ (* 4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y)))) (pow z 2)) |
(/ (- (* -1/256 (/ (pow (+ (* 4 (* t y)) (pow x 2)) 3) (* (pow y 4) (pow z 6)))) (+ (* 1/64 (/ (pow (+ (* 4 (* t y)) (pow x 2)) 2) (* (pow y 3) (pow z 4)))) (+ (* 1/16 (/ (+ (* 4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y))))) (pow z 2)) |
(* -4 (pow z 2)) |
(* (pow z 2) (- (* 4 (/ t (pow z 2))) 4)) |
(- (pow x 2) (* 4 (* y (pow z 2)))) |
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) |
(+ (* -4 (* y (pow z 2))) (pow x 2)) |
(/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2))) |
(+ (* -4 (/ (* t y) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2))) (/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2)))) |
(+ (* t (- (* 16 (/ (* t (pow y 2)) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3))) (* 4 (/ y (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2))))) (/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2)))) |
(+ (* t (- (* t (- (* -64 (/ (* t (pow y 3)) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 4))) (* -16 (/ (pow y 2) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3))))) (* 4 (/ y (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2))))) (/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2)))) |
(* -1 t) |
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(* t (+ (* 4 y) (/ (pow x 2) t))) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t)))) |
(/ 1/4 (* t y)) |
(/ (+ (* -1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2)))) (* 1/4 (/ 1 y))) t) |
(/ (- (+ (* 1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (* (pow t 2) (pow y 3)))) (* 1/4 (/ 1 y))) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2))))) t) |
(/ (- (+ (* -1/256 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3) (* (pow t 3) (pow y 4)))) (* 1/4 (/ 1 y))) (+ (* -1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (* (pow t 2) (pow y 3)))) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2)))))) t) |
(* t (+ 4 (* -4 (/ (pow z 2) t)))) |
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y)))) |
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t))))) |
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t))))) |
(* -1 (/ (- (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2)))) (* 1/4 (/ 1 y))) t)) |
(* -1 (/ (- (* -1 (/ (- (* 1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (* t (pow y 3)))) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (pow y 2)))) t)) (* 1/4 (/ 1 y))) t)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3) (* t (pow y 4)))) (* 1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (pow y 3)))) t)) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (pow y 2)))) t)) (* 1/4 (/ 1 y))) t)) |
(* -1 (* t (- (* 4 (/ (pow z 2) t)) 4))) |
| Outputs |
|---|
(* -4 (* y (- (pow z 2) t))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) |
(- (pow x 2) (* 4 (* y (- (pow z 2) t)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x)) |
(* 4 (* t y)) |
(*.f64 (*.f64 t y) #s(literal 4 binary64)) |
(+ (* 4 (* t y)) (pow x 2)) |
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x)) |
(/ -1/4 (* y (- (pow z 2) t))) |
(/.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 z z) t)) y) |
(- (* -1/16 (/ (pow x 2) (* (pow y 2) (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (* y (- (pow z 2) t))))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (*.f64 x (/.f64 x (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 z z) t))) y) |
(- (* (pow x 2) (- (* -1/64 (/ (pow x 2) (* (pow y 3) (pow (- (pow z 2) t) 3)))) (* 1/16 (/ 1 (* (pow y 2) (pow (- (pow z 2) t) 2)))))) (* 1/4 (/ 1 (* y (- (pow z 2) t))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 3 binary64))) (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 2 binary64)) y) y))) (*.f64 x x) (/.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 z z) t)) y)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/256 (/ (pow x 2) (* (pow y 4) (pow (- (pow z 2) t) 4)))) (* 1/64 (/ 1 (* (pow y 3) (pow (- (pow z 2) t) 3)))))) (* 1/16 (/ 1 (* (pow y 2) (pow (- (pow z 2) t) 2)))))) (* 1/4 (/ 1 (* y (- (pow z 2) t))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/256 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64))) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/64 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 x x) (/.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 2 binary64)) y) y))) (*.f64 x x) (/.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 z z) t)) y)) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) x) (/.f64 (-.f64 (*.f64 z z) t) x) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 t #s(literal 4 binary64)) (/.f64 y (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* 4 (/ (* y (- (pow z 2) t)) (pow x 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) x) (/.f64 (-.f64 (*.f64 z z) t) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/ (- (+ 1 (* 16 (/ (* (pow y 2) (pow (- (pow z 2) t) 2)) (pow x 4)))) (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))) (pow x 2)) |
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(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) t) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) y) y) (/.f64 #s(literal 1/4 binary64) y)) t) |
(* -1 (/ (- (* -1 (/ (- (* 1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (* t (pow y 3)))) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (pow y 2)))) t)) (* 1/4 (/ 1 y))) t)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) t) (/.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) #s(literal -1/16 binary64)) (*.f64 y y))) t) (/.f64 #s(literal 1/4 binary64) y)) t) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3) (* t (pow y 4)))) (* 1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (pow y 3)))) t)) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (pow y 2)))) t)) (* 1/4 (/ 1 y))) t)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) y) y) #s(literal -1/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) #s(literal 3 binary64)) t) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal -1/64 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 t))) t) (/.f64 #s(literal 1/4 binary64) y)) t) |
(* -1 (* t (- (* 4 (/ (pow z 2) t)) 4))) |
(*.f64 (neg.f64 t) (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 150 |
| 0 | 46 | 146 |
| 1 | 155 | 143 |
| 2 | 1064 | 143 |
| 0 | 8790 | 143 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
(*.f64 (*.f64 t #s(literal 4 binary64)) y) |
(*.f64 t #s(literal 4 binary64)) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) |
(*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)) |
(*.f64 (*.f64 z y) z) |
(*.f64 z y) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) t) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x))) |
(fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x)) |
(*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) |
(neg.f64 t) |
| Outputs |
|---|
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
(*.f64 (*.f64 t y) #s(literal 4 binary64)) |
(*.f64 (*.f64 t #s(literal 4 binary64)) y) |
(*.f64 t (*.f64 #s(literal 4 binary64) y)) |
(*.f64 (*.f64 #s(literal 4 binary64) y) t) |
(*.f64 #s(literal 4 binary64) (*.f64 t y)) |
(*.f64 y (*.f64 t #s(literal 4 binary64))) |
(*.f64 t #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) t) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 z y) z))) |
(*.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) z) |
(*.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 z y)) |
(*.f64 #s(literal -4 binary64) (*.f64 (*.f64 z y) z)) |
(*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)) |
(*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z)) |
(*.f64 z (*.f64 (*.f64 z y) #s(literal -4 binary64))) |
(*.f64 z (*.f64 y (*.f64 #s(literal -4 binary64) z))) |
(*.f64 y (*.f64 z (*.f64 #s(literal -4 binary64) z))) |
(*.f64 (*.f64 z y) z) |
(*.f64 (*.f64 z z) y) |
(*.f64 z (*.f64 z y)) |
(*.f64 y (*.f64 z z)) |
(*.f64 z y) |
(*.f64 y z) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) t)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) t))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 t y) (*.f64 x x))))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) t)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) t)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) t))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64))))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) t)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 3 binary64))))) (fma.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) t)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64))) (fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) t))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 t y) (*.f64 x x))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) t)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 t y) (*.f64 x x)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) t))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) t)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 t y) (*.f64 x x))))) (fma.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
(fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)) |
(fma.f64 t (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)) |
(fma.f64 #s(literal 4 binary64) (*.f64 t y) (*.f64 x x)) |
(fma.f64 y (*.f64 t #s(literal 4 binary64)) (*.f64 x x)) |
(fma.f64 x x (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) t))) (/.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) t)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))))) |
(+.f64 (*.f64 (*.f64 t #s(literal 4 binary64)) y) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
(*.f64 t #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) t) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 t) #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 t) #s(literal -4 binary64)) (*.f64 (neg.f64 t) #s(literal -4 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) (*.f64 (*.f64 z z) #s(literal -4 binary64))) (*.f64 (*.f64 (neg.f64 t) #s(literal -4 binary64)) (*.f64 (*.f64 z z) #s(literal -4 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 t) #s(literal -4 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) (*.f64 (*.f64 z z) #s(literal -4 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 t) #s(literal -4 binary64)) (*.f64 (neg.f64 t) #s(literal -4 binary64))) (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) (*.f64 (neg.f64 t) #s(literal -4 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (neg.f64 t)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) (neg.f64 t)) (*.f64 #s(literal -4 binary64) (neg.f64 t)) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) (*.f64 #s(literal -4 binary64) (*.f64 z z))) (*.f64 (*.f64 #s(literal -4 binary64) (neg.f64 t)) (*.f64 #s(literal -4 binary64) (*.f64 z z)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (neg.f64 t)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) (*.f64 #s(literal -4 binary64) (*.f64 z z)) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) (neg.f64 t)) (*.f64 #s(literal -4 binary64) (neg.f64 t))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) (*.f64 #s(literal -4 binary64) (neg.f64 t)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) #s(literal -4 binary64))) (neg.f64 (fma.f64 z z t))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal -4 binary64))) (neg.f64 (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)))) (neg.f64 (fma.f64 z z t))) |
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) #s(literal -4 binary64)) (fma.f64 z z t)) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal -4 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t))) (fma.f64 z z t)) |
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z t) (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) #s(literal -4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal -4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z t) (*.f64 #s(literal -4 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))))) |
(/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t)))) |
(fma.f64 (neg.f64 t) #s(literal -4 binary64) (*.f64 (*.f64 z z) #s(literal -4 binary64))) |
(fma.f64 #s(literal -4 binary64) (neg.f64 t) (*.f64 #s(literal -4 binary64) (*.f64 z z))) |
(fma.f64 #s(literal -4 binary64) (*.f64 z z) (*.f64 #s(literal -4 binary64) (neg.f64 t))) |
(fma.f64 (*.f64 z z) #s(literal -4 binary64) (*.f64 (neg.f64 t) #s(literal -4 binary64))) |
(+.f64 (*.f64 (neg.f64 t) #s(literal -4 binary64)) (*.f64 (*.f64 z z) #s(literal -4 binary64))) |
(+.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) (*.f64 (neg.f64 t) #s(literal -4 binary64))) |
(+.f64 (*.f64 #s(literal -4 binary64) (neg.f64 t)) (*.f64 #s(literal -4 binary64) (*.f64 z z))) |
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) (*.f64 #s(literal -4 binary64) (neg.f64 t))) |
(*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) t) |
(*.f64 t #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 t) t) t) |
(/.f64 (pow.f64 t #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 t t) (*.f64 #s(literal 0 binary64) (neg.f64 t))))) |
(/.f64 (pow.f64 t #s(literal 3 binary64)) (neg.f64 (fma.f64 t t #s(literal 0 binary64)))) |
(/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t t #s(literal 0 binary64))) |
(/.f64 (*.f64 t t) (neg.f64 t)) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 t) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (pow.f64 t #s(literal 3 binary64)))) |
(neg.f64 t) |
(-.f64 (/.f64 #s(literal 0 binary64) t) (/.f64 (*.f64 t t) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) (neg.f64 t)) |
(-.f64 #s(literal 0 binary64) t) |
(+.f64 #s(literal 0 binary64) (neg.f64 t)) |
Compiled 14 239 to 1 456 computations (89.8% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 404 | 1 | 405 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 3 | 3 |
| Total | 405 | 7 | 412 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 38.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)))) |
| ✓ | 65.6% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) |
| ✓ | 63.6% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
| ✓ | 38.8% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) |
| ✓ | 42.8% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) |
| ✓ | 30.0% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) |
| ✓ | 30.0% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
Compiled 151 to 116 computations (23.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 z z) y) | |
| cost-diff | 0 | (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 69 |
| 0 | 24 | 67 |
| 1 | 41 | 67 |
| 2 | 70 | 67 |
| 3 | 143 | 67 |
| 4 | 328 | 67 |
| 5 | 578 | 67 |
| 6 | 886 | 67 |
| 7 | 1535 | 67 |
| 8 | 1911 | 67 |
| 9 | 2329 | 67 |
| 10 | 2892 | 67 |
| 11 | 3343 | 67 |
| 12 | 3426 | 67 |
| 13 | 3531 | 67 |
| 14 | 3567 | 67 |
| 15 | 3567 | 67 |
| 16 | 3567 | 67 |
| 17 | 3567 | 67 |
| 0 | 3567 | 65 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) |
(/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)) |
#s(literal -1/4 binary64) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) |
(/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)) |
#s(literal -1/4 binary64) |
(*.f64 (*.f64 z z) y) |
(*.f64 z z) |
z |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12109375 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)))) | |
| accuracy | 0.48521889770463056 | (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)) | |
| accuracy | 8.07099975773209 | (*.f64 (*.f64 z z) y) | |
| accuracy | 35.6067361628398 | #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) |
| 39.0ms | 256× | 0 | valid |
Compiled 55 to 20 computations (63.6% saved)
ival-div: 18.0ms (61.2% of total)ival-mult: 7.0ms (23.8% of total)ival-add: 2.0ms (6.8% of total)ival-neg: 1.0ms (3.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)))) |
#s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) |
(/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
| Outputs |
|---|
(* -4 (* y (- (pow z 2) t))) |
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) |
(/ -1/4 (* y (- (pow z 2) t))) |
(- (* -1/16 (/ (pow x 2) (* (pow y 2) (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (* y (- (pow z 2) t))))) |
(- (* (pow x 2) (- (* -1/64 (/ (pow x 2) (* (pow y 3) (pow (- (pow z 2) t) 3)))) (* 1/16 (/ 1 (* (pow y 2) (pow (- (pow z 2) t) 2)))))) (* 1/4 (/ 1 (* y (- (pow z 2) t))))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/256 (/ (pow x 2) (* (pow y 4) (pow (- (pow z 2) t) 4)))) (* 1/64 (/ 1 (* (pow y 3) (pow (- (pow z 2) t) 3)))))) (* 1/16 (/ 1 (* (pow y 2) (pow (- (pow z 2) t) 2)))))) (* 1/4 (/ 1 (* y (- (pow z 2) t))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* 4 (/ (* y (- (pow z 2) t)) (pow x 2)))) (pow x 2)) |
(/ (- (+ 1 (* 16 (/ (* (pow y 2) (pow (- (pow z 2) t) 2)) (pow x 4)))) (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))) (pow x 2)) |
(/ (- (+ 1 (* 64 (/ (* (pow y 3) (pow (- (pow z 2) t) 3)) (pow x 6)))) (+ (* -16 (/ (* (pow y 2) (pow (- (pow z 2) t) 2)) (pow x 4))) (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) (pow x 2)) |
(+ (* 4 (/ (* y (- (pow z 2) t)) (pow x 4))) (/ 1 (pow x 2))) |
(+ (* y (- (* 16 (/ (* y (pow (- (pow z 2) t) 2)) (pow x 6))) (* -4 (/ (- (pow z 2) t) (pow x 4))))) (/ 1 (pow x 2))) |
(+ (* y (- (* y (- (* 64 (/ (* y (pow (- (pow z 2) t) 3)) (pow x 8))) (* -16 (/ (pow (- (pow z 2) t) 2) (pow x 6))))) (* -4 (/ (- (pow z 2) t) (pow x 4))))) (/ 1 (pow x 2))) |
(/ -1/4 (* y (pow z 2))) |
(* y (pow z 2)) |
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y))) |
(/ (- (* -1/16 (/ (pow x 2) (* y (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (- (pow z 2) t)))) y) |
(/ (- (* -1/64 (/ (pow x 4) (* (pow y 2) (pow (- (pow z 2) t) 3)))) (+ (* 1/16 (/ (pow x 2) (* y (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (- (pow z 2) t))))) y) |
(/ (- (* -1/256 (/ (pow x 6) (* (pow y 3) (pow (- (pow z 2) t) 4)))) (+ (* 1/64 (/ (pow x 4) (* (pow y 2) (pow (- (pow z 2) t) 3)))) (+ (* 1/16 (/ (pow x 2) (* y (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (- (pow z 2) t)))))) y) |
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t))))) |
(* -1 (/ (+ (* 1/16 (/ (pow x 2) (* y (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (- (pow z 2) t)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow x 4) (* y (pow (- (pow z 2) t) 3)))) (* 1/16 (/ (pow x 2) (pow (- (pow z 2) t) 2)))) y)) (* 1/4 (/ 1 (- (pow z 2) t)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow x 6) (* y (pow (- (pow z 2) t) 4)))) (* -1/64 (/ (pow x 4) (pow (- (pow z 2) t) 3)))) y)) (* 1/16 (/ (pow x 2) (pow (- (pow z 2) t) 2)))) y)) (* 1/4 (/ 1 (- (pow z 2) t)))) y)) |
(+ (* 4 (* t y)) (pow x 2)) |
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) |
(/ 1 (+ (* 4 (* t y)) (pow x 2))) |
(+ (* 4 (/ (* y (pow z 2)) (pow (+ (* 4 (* t y)) (pow x 2)) 2))) (/ 1 (+ (* 4 (* t y)) (pow x 2)))) |
(+ (* (pow z 2) (- (* 16 (/ (* (pow y 2) (pow z 2)) (pow (+ (* 4 (* t y)) (pow x 2)) 3))) (* -4 (/ y (pow (+ (* 4 (* t y)) (pow x 2)) 2))))) (/ 1 (+ (* 4 (* t y)) (pow x 2)))) |
(+ (* (pow z 2) (- (* (pow z 2) (- (* 64 (/ (* (pow y 3) (pow z 2)) (pow (+ (* 4 (* t y)) (pow x 2)) 4))) (* -16 (/ (pow y 2) (pow (+ (* 4 (* t y)) (pow x 2)) 3))))) (* -4 (/ y (pow (+ (* 4 (* t y)) (pow x 2)) 2))))) (/ 1 (+ (* 4 (* t y)) (pow x 2)))) |
(* -4 (* y (pow z 2))) |
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2))))) |
(/ (- (* -1/16 (/ (+ (* 4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y))) (pow z 2)) |
(/ (- (* -1/64 (/ (pow (+ (* 4 (* t y)) (pow x 2)) 2) (* (pow y 3) (pow z 4)))) (+ (* 1/16 (/ (+ (* 4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y)))) (pow z 2)) |
(/ (- (* -1/256 (/ (pow (+ (* 4 (* t y)) (pow x 2)) 3) (* (pow y 4) (pow z 6)))) (+ (* 1/64 (/ (pow (+ (* 4 (* t y)) (pow x 2)) 2) (* (pow y 3) (pow z 4)))) (+ (* 1/16 (/ (+ (* 4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y))))) (pow z 2)) |
(+ (* -4 (* y (pow z 2))) (pow x 2)) |
(/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2))) |
(+ (* -4 (/ (* t y) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2))) (/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2)))) |
(+ (* t (- (* 16 (/ (* t (pow y 2)) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3))) (* 4 (/ y (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2))))) (/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2)))) |
(+ (* t (- (* t (- (* -64 (/ (* t (pow y 3)) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 4))) (* -16 (/ (pow y 2) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3))))) (* 4 (/ y (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2))))) (/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2)))) |
(* 4 (* t y)) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t)))) |
(/ 1/4 (* t y)) |
(/ (+ (* -1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2)))) (* 1/4 (/ 1 y))) t) |
(/ (- (+ (* 1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (* (pow t 2) (pow y 3)))) (* 1/4 (/ 1 y))) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2))))) t) |
(/ (- (+ (* -1/256 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3) (* (pow t 3) (pow y 4)))) (* 1/4 (/ 1 y))) (+ (* -1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (* (pow t 2) (pow y 3)))) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2)))))) t) |
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t))))) |
(* -1 (/ (- (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2)))) (* 1/4 (/ 1 y))) t)) |
(* -1 (/ (- (* -1 (/ (- (* 1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (* t (pow y 3)))) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (pow y 2)))) t)) (* 1/4 (/ 1 y))) t)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3) (* t (pow y 4)))) (* 1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (pow y 3)))) t)) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (pow y 2)))) t)) (* 1/4 (/ 1 y))) t)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | ((/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/ -1/4 (* (* z z) y)) (* (* z z) y)) |
| 1.0ms | y | @ | inf | ((/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/ -1/4 (* (* z z) y)) (* (* z z) y)) |
| 1.0ms | y | @ | -inf | ((/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/ -1/4 (* (* z z) y)) (* (* z z) y)) |
| 1.0ms | y | @ | 0 | ((/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/ -1/4 (* (* z z) y)) (* (* z z) y)) |
| 1.0ms | z | @ | -inf | ((/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/ -1/4 (* (* z z) y)) (* (* z z) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 308 | 1617 |
| 1 | 910 | 1602 |
| 2 | 3144 | 1589 |
| 0 | 8150 | 1489 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (* y (- (pow z 2) t))) |
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) |
(/ -1/4 (* y (- (pow z 2) t))) |
(- (* -1/16 (/ (pow x 2) (* (pow y 2) (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (* y (- (pow z 2) t))))) |
(- (* (pow x 2) (- (* -1/64 (/ (pow x 2) (* (pow y 3) (pow (- (pow z 2) t) 3)))) (* 1/16 (/ 1 (* (pow y 2) (pow (- (pow z 2) t) 2)))))) (* 1/4 (/ 1 (* y (- (pow z 2) t))))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/256 (/ (pow x 2) (* (pow y 4) (pow (- (pow z 2) t) 4)))) (* 1/64 (/ 1 (* (pow y 3) (pow (- (pow z 2) t) 3)))))) (* 1/16 (/ 1 (* (pow y 2) (pow (- (pow z 2) t) 2)))))) (* 1/4 (/ 1 (* y (- (pow z 2) t))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* 4 (/ (* y (- (pow z 2) t)) (pow x 2)))) (pow x 2)) |
(/ (- (+ 1 (* 16 (/ (* (pow y 2) (pow (- (pow z 2) t) 2)) (pow x 4)))) (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))) (pow x 2)) |
(/ (- (+ 1 (* 64 (/ (* (pow y 3) (pow (- (pow z 2) t) 3)) (pow x 6)))) (+ (* -16 (/ (* (pow y 2) (pow (- (pow z 2) t) 2)) (pow x 4))) (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) (pow x 2)) |
(+ (* 4 (/ (* y (- (pow z 2) t)) (pow x 4))) (/ 1 (pow x 2))) |
(+ (* y (- (* 16 (/ (* y (pow (- (pow z 2) t) 2)) (pow x 6))) (* -4 (/ (- (pow z 2) t) (pow x 4))))) (/ 1 (pow x 2))) |
(+ (* y (- (* y (- (* 64 (/ (* y (pow (- (pow z 2) t) 3)) (pow x 8))) (* -16 (/ (pow (- (pow z 2) t) 2) (pow x 6))))) (* -4 (/ (- (pow z 2) t) (pow x 4))))) (/ 1 (pow x 2))) |
(/ -1/4 (* y (pow z 2))) |
(* y (pow z 2)) |
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y))) |
(/ (- (* -1/16 (/ (pow x 2) (* y (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (- (pow z 2) t)))) y) |
(/ (- (* -1/64 (/ (pow x 4) (* (pow y 2) (pow (- (pow z 2) t) 3)))) (+ (* 1/16 (/ (pow x 2) (* y (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (- (pow z 2) t))))) y) |
(/ (- (* -1/256 (/ (pow x 6) (* (pow y 3) (pow (- (pow z 2) t) 4)))) (+ (* 1/64 (/ (pow x 4) (* (pow y 2) (pow (- (pow z 2) t) 3)))) (+ (* 1/16 (/ (pow x 2) (* y (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (- (pow z 2) t)))))) y) |
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t))))) |
(* -1 (/ (+ (* 1/16 (/ (pow x 2) (* y (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (- (pow z 2) t)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow x 4) (* y (pow (- (pow z 2) t) 3)))) (* 1/16 (/ (pow x 2) (pow (- (pow z 2) t) 2)))) y)) (* 1/4 (/ 1 (- (pow z 2) t)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow x 6) (* y (pow (- (pow z 2) t) 4)))) (* -1/64 (/ (pow x 4) (pow (- (pow z 2) t) 3)))) y)) (* 1/16 (/ (pow x 2) (pow (- (pow z 2) t) 2)))) y)) (* 1/4 (/ 1 (- (pow z 2) t)))) y)) |
(+ (* 4 (* t y)) (pow x 2)) |
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) |
(/ 1 (+ (* 4 (* t y)) (pow x 2))) |
(+ (* 4 (/ (* y (pow z 2)) (pow (+ (* 4 (* t y)) (pow x 2)) 2))) (/ 1 (+ (* 4 (* t y)) (pow x 2)))) |
(+ (* (pow z 2) (- (* 16 (/ (* (pow y 2) (pow z 2)) (pow (+ (* 4 (* t y)) (pow x 2)) 3))) (* -4 (/ y (pow (+ (* 4 (* t y)) (pow x 2)) 2))))) (/ 1 (+ (* 4 (* t y)) (pow x 2)))) |
(+ (* (pow z 2) (- (* (pow z 2) (- (* 64 (/ (* (pow y 3) (pow z 2)) (pow (+ (* 4 (* t y)) (pow x 2)) 4))) (* -16 (/ (pow y 2) (pow (+ (* 4 (* t y)) (pow x 2)) 3))))) (* -4 (/ y (pow (+ (* 4 (* t y)) (pow x 2)) 2))))) (/ 1 (+ (* 4 (* t y)) (pow x 2)))) |
(* -4 (* y (pow z 2))) |
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2))))) |
(/ (- (* -1/16 (/ (+ (* 4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y))) (pow z 2)) |
(/ (- (* -1/64 (/ (pow (+ (* 4 (* t y)) (pow x 2)) 2) (* (pow y 3) (pow z 4)))) (+ (* 1/16 (/ (+ (* 4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y)))) (pow z 2)) |
(/ (- (* -1/256 (/ (pow (+ (* 4 (* t y)) (pow x 2)) 3) (* (pow y 4) (pow z 6)))) (+ (* 1/64 (/ (pow (+ (* 4 (* t y)) (pow x 2)) 2) (* (pow y 3) (pow z 4)))) (+ (* 1/16 (/ (+ (* 4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y))))) (pow z 2)) |
(+ (* -4 (* y (pow z 2))) (pow x 2)) |
(/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2))) |
(+ (* -4 (/ (* t y) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2))) (/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2)))) |
(+ (* t (- (* 16 (/ (* t (pow y 2)) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3))) (* 4 (/ y (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2))))) (/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2)))) |
(+ (* t (- (* t (- (* -64 (/ (* t (pow y 3)) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 4))) (* -16 (/ (pow y 2) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3))))) (* 4 (/ y (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2))))) (/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2)))) |
(* 4 (* t y)) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t)))) |
(/ 1/4 (* t y)) |
(/ (+ (* -1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2)))) (* 1/4 (/ 1 y))) t) |
(/ (- (+ (* 1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (* (pow t 2) (pow y 3)))) (* 1/4 (/ 1 y))) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2))))) t) |
(/ (- (+ (* -1/256 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3) (* (pow t 3) (pow y 4)))) (* 1/4 (/ 1 y))) (+ (* -1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (* (pow t 2) (pow y 3)))) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2)))))) t) |
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t))))) |
(* -1 (/ (- (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2)))) (* 1/4 (/ 1 y))) t)) |
(* -1 (/ (- (* -1 (/ (- (* 1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (* t (pow y 3)))) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (pow y 2)))) t)) (* 1/4 (/ 1 y))) t)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3) (* t (pow y 4)))) (* 1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (pow y 3)))) t)) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (pow y 2)))) t)) (* 1/4 (/ 1 y))) t)) |
| Outputs |
|---|
(* -4 (* y (- (pow z 2) t))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) |
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x)) |
(/ -1/4 (* y (- (pow z 2) t))) |
(/.f64 #s(literal -1/4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y)) |
(- (* -1/16 (/ (pow x 2) (* (pow y 2) (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (* y (- (pow z 2) t))))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 2 binary64))) (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 z z) t))) y) |
(- (* (pow x 2) (- (* -1/64 (/ (pow x 2) (* (pow y 3) (pow (- (pow z 2) t) 3)))) (* 1/16 (/ 1 (* (pow y 2) (pow (- (pow z 2) t) 2)))))) (* 1/4 (/ 1 (* y (- (pow z 2) t))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 3 binary64))) (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 y y)) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/256 (/ (pow x 2) (* (pow y 4) (pow (- (pow z 2) t) 4)))) (* 1/64 (/ 1 (* (pow y 3) (pow (- (pow z 2) t) 3)))))) (* 1/16 (/ 1 (* (pow y 2) (pow (- (pow z 2) t) 2)))))) (* 1/4 (/ 1 (* y (- (pow z 2) t))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/256 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64))) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 3 binary64)))) (*.f64 x x) (/.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 y y)) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 2 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y #s(literal -4 binary64)) x) (/.f64 (-.f64 (*.f64 z z) t) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* 4 (/ (* y (- (pow z 2) t)) (pow x 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 (-.f64 (*.f64 z z) t) y) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/ (- (+ 1 (* 16 (/ (* (pow y 2) (pow (- (pow z 2) t) 2)) (pow x 4)))) (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (/.f64 (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 (-.f64 (*.f64 z z) t) y) x) #s(literal 1 binary64))) (*.f64 x x)) |
(/ (- (+ 1 (* 64 (/ (* (pow y 3) (pow (- (pow z 2) t) 3)) (pow x 6)))) (+ (* -16 (/ (* (pow y 2) (pow (- (pow z 2) t) 2)) (pow x 4))) (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (/.f64 (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 (-.f64 (*.f64 z z) t) y) x) #s(literal 1 binary64)))) (*.f64 x x)) |
(+ (* 4 (/ (* y (- (pow z 2) t)) (pow x 4))) (/ 1 (pow x 2))) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ (* y (- (* 16 (/ (* y (pow (- (pow z 2) t) 2)) (pow x 6))) (* -4 (/ (- (pow z 2) t) (pow x 4))))) (/ 1 (pow x 2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 16 binary64) y) (/.f64 (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 z z) t)) (pow.f64 x #s(literal 4 binary64)))) y (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+ (* y (- (* y (- (* 64 (/ (* y (pow (- (pow z 2) t) 3)) (pow x 8))) (* -16 (/ (pow (- (pow z 2) t) 2) (pow x 6))))) (* -4 (/ (- (pow z 2) t) (pow x 4))))) (/ 1 (pow x 2))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 64 binary64) y) (/.f64 (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64)))) y (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 z z) t)) (pow.f64 x #s(literal 4 binary64)))) y (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/ -1/4 (* y (pow z 2))) |
(/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) y) |
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y))) |
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y) |
(/ (- (* -1/16 (/ (pow x 2) (* y (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (- (pow z 2) t)))) y) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 2 binary64))) (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 z z) t))) y) |
(/ (- (* -1/64 (/ (pow x 4) (* (pow y 2) (pow (- (pow z 2) t) 3)))) (+ (* 1/16 (/ (pow x 2) (* y (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (- (pow z 2) t))))) y) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 x x)) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 2 binary64)))) y) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 z z) t))) y) |
(/ (- (* -1/256 (/ (pow x 6) (* (pow y 3) (pow (- (pow z 2) t) 4)))) (+ (* 1/64 (/ (pow x 4) (* (pow y 2) (pow (- (pow z 2) t) 3)))) (+ (* 1/16 (/ (pow x 2) (* y (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (- (pow z 2) t)))))) y) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/256 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 x x)) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 2 binary64)))) y)) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 z z) t))) y) |
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y) |
(* -1 (/ (+ (* 1/16 (/ (pow x 2) (* y (pow (- (pow z 2) t) 2)))) (* 1/4 (/ 1 (- (pow z 2) t)))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 2 binary64))) (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 z z) t))) y) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow x 4) (* y (pow (- (pow z 2) t) 3)))) (* 1/16 (/ (pow x 2) (pow (- (pow z 2) t) 2)))) y)) (* 1/4 (/ 1 (- (pow z 2) t)))) y)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 z z) t)) (/.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 x x)) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 2 binary64)))) y)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow x 6) (* y (pow (- (pow z 2) t) 4)))) (* -1/64 (/ (pow x 4) (pow (- (pow z 2) t) 3)))) y)) (* 1/16 (/ (pow x 2) (pow (- (pow z 2) t) 2)))) y)) (* 1/4 (/ 1 (- (pow z 2) t)))) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 2 binary64)))) #s(literal -1/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) y) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/64 binary64)) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal 3 binary64)))) (neg.f64 y))) y) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 z z) t))) y) |
(+ (* 4 (* t y)) (pow x 2)) |
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) |
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x)) |
(/ 1 (+ (* 4 (* t y)) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))) |
(+ (* 4 (/ (* y (pow z 2)) (pow (+ (* 4 (* t y)) (pow x 2)) 2))) (/ 1 (+ (* 4 (* t y)) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 y (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)))) |
(+ (* (pow z 2) (- (* 16 (/ (* (pow y 2) (pow z 2)) (pow (+ (* 4 (* t y)) (pow x 2)) 3))) (* -4 (/ y (pow (+ (* 4 (* t y)) (pow x 2)) 2))))) (/ 1 (+ (* 4 (* t y)) (pow x 2)))) |
(fma.f64 (fma.f64 (/.f64 y (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) y) y) #s(literal 16 binary64)) (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 3 binary64)))) (*.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)))) |
(+ (* (pow z 2) (- (* (pow z 2) (- (* 64 (/ (* (pow y 3) (pow z 2)) (pow (+ (* 4 (* t y)) (pow x 2)) 4))) (* -16 (/ (pow y 2) (pow (+ (* 4 (* t y)) (pow x 2)) 3))))) (* -4 (/ y (pow (+ (* 4 (* t y)) (pow x 2)) 2))))) (/ 1 (+ (* 4 (* t y)) (pow x 2)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 z (/.f64 z (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 3 binary64)))) (*.f64 z z) (*.f64 (/.f64 y (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 z z) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)))) |
(* -4 (* y (pow z 2))) |
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) |
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2))))) |
(*.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) t) z) (/.f64 y z) (*.f64 y #s(literal -4 binary64)))) (*.f64 z z)) |
(/ (- (* -1/16 (/ (+ (* 4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y))) (pow z 2)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 z z) y) y)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) y)) (*.f64 z z)) |
(/ (- (* -1/64 (/ (pow (+ (* 4 (* t y)) (pow x 2)) 2) (* (pow y 3) (pow z 4)))) (+ (* 1/16 (/ (+ (* 4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y)))) (pow z 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 z z) y) y)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) y))) (*.f64 z z)) |
(/ (- (* -1/256 (/ (pow (+ (* 4 (* t y)) (pow x 2)) 3) (* (pow y 4) (pow z 6)))) (+ (* 1/64 (/ (pow (+ (* 4 (* t y)) (pow x 2)) 2) (* (pow y 3) (pow z 4)))) (+ (* 1/16 (/ (+ (* 4 (* t y)) (pow x 2)) (* (pow y 2) (pow z 2)))) (* 1/4 (/ 1 y))))) (pow z 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/256 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 z z) y) y)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) y)))) (*.f64 z z)) |
(+ (* -4 (* y (pow z 2))) (pow x 2)) |
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) |
(/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))) |
(+ (* -4 (/ (* t y) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2))) (/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) t) (/.f64 y (pow.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))) |
(+ (* t (- (* 16 (/ (* t (pow y 2)) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3))) (* 4 (/ y (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2))))) (/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2)))) |
(fma.f64 (fma.f64 (/.f64 y (pow.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) #s(literal 2 binary64))) #s(literal -4 binary64) (/.f64 (*.f64 t (*.f64 #s(literal 16 binary64) (*.f64 y y))) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) #s(literal 3 binary64)))) t (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))) |
(+ (* t (- (* t (- (* -64 (/ (* t (pow y 3)) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 4))) (* -16 (/ (pow y 2) (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3))))) (* 4 (/ y (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2))))) (/ 1 (+ (* -4 (* y (pow z 2))) (pow x 2)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -64 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) #s(literal 3 binary64)))) t (*.f64 (/.f64 y (pow.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) #s(literal 2 binary64))) #s(literal -4 binary64))) t (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))) |
(* 4 (* t y)) |
(*.f64 (*.f64 y t) #s(literal 4 binary64)) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t)))) |
(*.f64 (fma.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal -4 binary64) #s(literal 4 binary64)) (/.f64 (*.f64 x x) t)) t) |
(/ 1/4 (* t y)) |
(/.f64 (/.f64 #s(literal 1/4 binary64) y) t) |
(/ (+ (* -1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2)))) (* 1/4 (/ 1 y))) t) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 y y)) (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) t) (/.f64 #s(literal 1/4 binary64) y)) t) |
(/ (- (+ (* 1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (* (pow t 2) (pow y 3)))) (* 1/4 (/ 1 y))) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2))))) t) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) t) (/.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) y) #s(literal -1/16 binary64)) y)) t) (/.f64 #s(literal 1/4 binary64) y)) t) |
(/ (- (+ (* -1/256 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3) (* (pow t 3) (pow y 4)))) (* 1/4 (/ 1 y))) (+ (* -1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (* (pow t 2) (pow y 3)))) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2)))))) t) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/256 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) t) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) t) (/.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) y) #s(literal -1/16 binary64)) y)) t) (/.f64 #s(literal 1/4 binary64) y))) t) |
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) t) t (*.f64 (*.f64 y t) #s(literal 4 binary64))) |
(* -1 (/ (- (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (* t (pow y 2)))) (* 1/4 (/ 1 y))) t)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 y y)) (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) t) (/.f64 #s(literal 1/4 binary64) y)) t) |
(* -1 (/ (- (* -1 (/ (- (* 1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (* t (pow y 3)))) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (pow y 2)))) t)) (* 1/4 (/ 1 y))) t)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) t) (/.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) y) #s(literal -1/16 binary64)) y)) t) (/.f64 #s(literal 1/4 binary64) y)) t) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 3) (* t (pow y 4)))) (* 1/64 (/ (pow (+ (* -4 (* y (pow z 2))) (pow x 2)) 2) (pow y 3)))) t)) (* 1/16 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) (pow y 2)))) t)) (* 1/4 (/ 1 y))) t)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) y) y) #s(literal -1/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) #s(literal 3 binary64)) t) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal -1/64 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 t))) t) (/.f64 #s(literal 1/4 binary64) y)) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 62 |
| 0 | 24 | 60 |
| 1 | 90 | 60 |
| 2 | 574 | 60 |
| 3 | 6105 | 60 |
| 0 | 8157 | 58 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)))) |
#s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) |
(/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)) |
(*.f64 (*.f64 z z) y) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) #s(literal -1/2 binary64))) (pow.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))))) |
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) #s(literal -1 binary64))) |
(pow.f64 (*.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))))) |
(/.f64 (pow.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (log.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)))))) |
(*.f64 (neg.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))))) |
(*.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)))) |
(pow.f64 (pow.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) #s(literal 1 binary64)) |
#s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) #s(literal -1/2 binary64))) (pow.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))))) |
(/.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (*.f64 y #s(literal -4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 z z))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) y) (pow.f64 z #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (neg.f64 y)) #s(literal 1/4 binary64)) |
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 z z)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) #s(literal -1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 z #s(literal -2 binary64)) (neg.f64 y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 z z)) y)) |
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal -2 binary64)) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y))) |
(pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) y) z) z) |
(/.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) z) y) z) |
(/.f64 (/.f64 #s(literal 1/4 binary64) y) (*.f64 (neg.f64 z) z)) |
(/.f64 (/.f64 #s(literal 1/4 binary64) z) (*.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) z) (pow.f64 y #s(literal -1 binary64))) z) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal -1 binary64))) (*.f64 (neg.f64 z) z)) |
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1/4 binary64)) (*.f64 y z)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1/4 binary64)) (*.f64 z z)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 z z)) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) y)) (*.f64 z z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) z)) (*.f64 y z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 z z))) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 y z)) z) |
(/.f64 (neg.f64 (/.f64 #s(literal -1/4 binary64) y)) (*.f64 (neg.f64 z) z)) |
(/.f64 (neg.f64 (/.f64 #s(literal -1/4 binary64) z)) (*.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) z) #s(literal 1 binary64)) (*.f64 y z)) |
(/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y #s(literal -4 binary64))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z z) #s(literal -4 binary64))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 y z) #s(literal -4 binary64))) |
(/.f64 (/.f64 #s(literal -1/4 binary64) y) (*.f64 z z)) |
(/.f64 (/.f64 #s(literal -1/4 binary64) z) (*.f64 y z)) |
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 z z)) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 z z)) (neg.f64 (neg.f64 y))) |
(/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 z z)) y) |
(/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) #s(literal -4 binary64)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (neg.f64 z) y) z)) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 z z) y) #s(literal 4 binary64))) |
(/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (/.f64 #s(literal -1/4 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (/.f64 #s(literal -1/4 binary64) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 z z)) (neg.f64 y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 z z)) y))) |
(neg.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 z z)) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 z z)) y)) |
(exp.f64 (*.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (log.f64 (*.f64 y #s(literal -4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 z)) (*.f64 y z)) |
(*.f64 (neg.f64 (neg.f64 y)) (*.f64 z z)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 z) z)) y) |
(*.f64 (neg.f64 z) (*.f64 (neg.f64 z) y)) |
(*.f64 (*.f64 (neg.f64 z) z) (neg.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 z) z)) |
(*.f64 (*.f64 y z) (/.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 y z) z) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 z) y) z)) |
(*.f64 (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) |
(*.f64 (*.f64 z z) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 z z) (neg.f64 (neg.f64 y))) |
(*.f64 (*.f64 z z) y) |
(*.f64 y (/.f64 (*.f64 z z) #s(literal 1 binary64))) |
(*.f64 y (neg.f64 (*.f64 (neg.f64 z) z))) |
(*.f64 y (*.f64 z z)) |
(*.f64 z (/.f64 (*.f64 y z) #s(literal 1 binary64))) |
(*.f64 z (neg.f64 (*.f64 (neg.f64 z) y))) |
(*.f64 z (*.f64 y z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) y) z) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 z z) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -2 binary64)) y)) |
(neg.f64 (*.f64 (*.f64 (neg.f64 z) y) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 z) y) z)) |
Compiled 5 475 to 690 computations (87.4% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 154 | 3 | 157 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 5 | 6 |
| Total | 155 | 9 | 164 |
| Status | Accuracy | Program |
|---|---|---|
| 42.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) y) z) z))) | |
| 42.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (/.f64 #s(literal -1/4 binary64) z))))) | |
| ✓ | 38.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)))) |
| 40.5% | #s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (*.f64 x x)) | |
| ✓ | 65.6% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) |
| ✓ | 63.6% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
| ✓ | 38.8% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) |
| ✓ | 42.8% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) |
| ✓ | 30.0% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) |
Compiled 542 to 244 computations (55% saved)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (*.f64 x x)) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) y) z) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (/.f64 #s(literal -1/4 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
| Outputs |
|---|
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
10 calls:
| 12.0ms | t |
| 5.0ms | (*.f64 y #s(literal 4 binary64)) |
| 5.0ms | x |
| 5.0ms | (-.f64 (*.f64 z z) t) |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 1 | x |
| 97.6% | 2 | y |
| 97.1% | 2 | z |
| 94.9% | 1 | t |
| 94.9% | 1 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
| 94.9% | 1 | (*.f64 x x) |
| 94.9% | 1 | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
| 97.6% | 2 | (*.f64 y #s(literal 4 binary64)) |
| 97.1% | 2 | (-.f64 (*.f64 z z) t) |
| 97.1% | 2 | (*.f64 z z) |
Compiled 40 to 58 computations (-45% saved)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (*.f64 x x)) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 z z) y)))) |
| Outputs |
|---|
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) |
10 calls:
| 11.0ms | z |
| 4.0ms | (*.f64 y #s(literal 4 binary64)) |
| 4.0ms | t |
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 2 | x |
| 90.2% | 1 | t |
| 92.6% | 2 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
| 92.9% | 2 | (*.f64 x x) |
| 92.2% | 2 | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
| 95.0% | 2 | z |
| 95.0% | 2 | (-.f64 (*.f64 z z) t) |
| 95.0% | 2 | (*.f64 z z) |
| 91.8% | 2 | y |
| 91.8% | 2 | (*.f64 y #s(literal 4 binary64)) |
Compiled 40 to 58 computations (-45% saved)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (*.f64 x x)) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) |
10 calls:
| 25.0ms | y |
| 20.0ms | (*.f64 x x) |
| 3.0ms | t |
| 3.0ms | x |
| 3.0ms | (-.f64 (*.f64 z z) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.7% | 3 | y |
| 80.6% | 3 | t |
| 78.7% | 3 | (*.f64 y #s(literal 4 binary64)) |
| 85.3% | 3 | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
| 85.2% | 4 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
| 85.6% | 4 | x |
| 85.6% | 4 | (*.f64 x x) |
| 87.1% | 3 | (-.f64 (*.f64 z z) t) |
| 91.0% | 3 | (*.f64 z z) |
| 91.0% | 3 | z |
Compiled 40 to 58 computations (-45% saved)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (*.f64 x x)) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
| Outputs |
|---|
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) |
2 calls:
| 3.0ms | z |
| 3.0ms | (*.f64 z z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.2% | 2 | z |
| 87.2% | 2 | (*.f64 z z) |
Compiled 4 to 9 computations (-125% saved)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (*.f64 x x)) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) |
| Outputs |
|---|
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (*.f64 x x)) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) |
10 calls:
| 11.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
| 2.0ms | t |
| 2.0ms | x |
| 2.0ms | (-.f64 (*.f64 z z) t) |
| 2.0ms | (*.f64 y #s(literal 4 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.6% | 4 | y |
| 58.6% | 4 | (*.f64 y #s(literal 4 binary64)) |
| 57.4% | 5 | t |
| 61.5% | 3 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
| 64.0% | 4 | x |
| 64.0% | 4 | (*.f64 x x) |
| 68.5% | 5 | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
| 70.4% | 3 | (-.f64 (*.f64 z z) t) |
| 69.0% | 4 | z |
| 64.8% | 2 | (*.f64 z z) |
Compiled 40 to 58 computations (-45% saved)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (*.f64 x x)) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) |
| Outputs |
|---|
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (*.f64 x x)) |
9 calls:
| 28.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
| 2.0ms | (*.f64 y #s(literal 4 binary64)) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (-.f64 (*.f64 z z) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.4% | 3 | y |
| 50.4% | 3 | (*.f64 y #s(literal 4 binary64)) |
| 52.7% | 2 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
| 54.7% | 2 | x |
| 54.7% | 2 | (*.f64 x x) |
| 46.8% | 3 | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
| 40.5% | 1 | (*.f64 z z) |
| 44.6% | 3 | z |
| 48.0% | 2 | (-.f64 (*.f64 z z) t) |
Compiled 39 to 54 computations (-38.5% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (*.f64 x x)) |
9 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 y #s(literal 4 binary64)) |
| 1.0ms | t |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.5% | 1 | z |
| 40.5% | 1 | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
| 40.5% | 1 | (-.f64 (*.f64 z z) t) |
| 40.5% | 1 | y |
| 40.5% | 1 | (*.f64 y #s(literal 4 binary64)) |
| 40.5% | 1 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
| 40.5% | 1 | t |
| 40.5% | 1 | x |
| 40.5% | 1 | (*.f64 x x) |
Compiled 37 to 53 computations (-43.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.479151955590083e+151 | 4.0244364139591864e+154 |
Compiled 16 to 18 computations (-12.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 4.142786795914063e+125 | 2.1057245337353253e+126 |
| 6.0ms | 96× | 0 | valid |
Compiled 220 to 192 computations (12.7% saved)
ival-mult: 2.0ms (62.4% of total)ival-sub: 1.0ms (31.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.2278842129374706e+118 | 7.354033976608138e+123 |
| 11.0ms | 5.7407148974713806e+44 | 1.4413028600692596e+46 |
| 15.0ms | 256× | 0 | valid |
Compiled 743 to 578 computations (22.2% saved)
ival-mult: 6.0ms (70.8% of total)ival-sub: 2.0ms (23.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.58326852203926e+132 | 9.40076695936614e+136 |
Compiled 16 to 18 computations (-12.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.58326852203926e+132 | 9.40076695936614e+136 |
| 0.0ms | -1.5706701484544341e-89 | -4.283653326080744e-154 |
Compiled 16 to 18 computations (-12.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 218.8598650045269 | 223373520.73422098 |
| 35.0ms | 144× | 0 | valid |
Compiled 367 to 315 computations (14.2% saved)
ival-mult: 29.0ms (94.5% of total)ival-sub: 1.0ms (3.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 339 |
| 1 | 110 | 339 |
| 2 | 215 | 339 |
| 3 | 594 | 339 |
| 4 | 1464 | 339 |
| 5 | 2668 | 339 |
| 6 | 4448 | 339 |
| 7 | 7113 | 339 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))) |
(if (<=.f64 z #s(literal 2099999999999999917375662048647715581807187923911945645044216106739353682582476444897332140569387263716581070981275114815881216 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))) |
(if (<=.f64 z #s(literal 849999999999999956139328173708086055649935360 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) (if (<=.f64 z #s(literal 7199999999999999956938911204801395018891516782150286726007127368585930829771395756371090479389277121315204078149284875206656 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))))) |
(if (<=.f64 (*.f64 z z) #s(literal 5000000000000000111755861797384299667549204650486879780239418214450132430121171797988101755921550297505076285418812476851459272474624 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))) |
(if (<=.f64 (-.f64 (*.f64 z z) t) #s(literal -5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) (if (<=.f64 (-.f64 (*.f64 z z) t) #s(literal 5000000000000000111755861797384299667549204650486879780239418214450132430121171797988101755921550297505076285418812476851459272474624 binary64)) #s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (*.f64 x x)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))))) |
(if (<=.f64 (*.f64 x x) #s(literal 53000000 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) #s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (*.f64 x x))) |
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (*.f64 x x)) |
| Outputs |
|---|
(if (<=.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))) |
(if (<=.f64 z #s(literal 2099999999999999917375662048647715581807187923911945645044216106739353682582476444897332140569387263716581070981275114815881216 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))) |
(if (<=.f64 z #s(literal 849999999999999956139328173708086055649935360 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) (if (<=.f64 z #s(literal 7199999999999999956938911204801395018891516782150286726007127368585930829771395756371090479389277121315204078149284875206656 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))))) |
(if (<=.f64 (*.f64 z z) #s(literal 5000000000000000111755861797384299667549204650486879780239418214450132430121171797988101755921550297505076285418812476851459272474624 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))) |
(if (<=.f64 (-.f64 (*.f64 z z) t) #s(literal -5733746539975179/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) (if (<=.f64 (-.f64 (*.f64 z z) t) #s(literal 5000000000000000111755861797384299667549204650486879780239418214450132430121171797988101755921550297505076285418812476851459272474624 binary64)) #s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (*.f64 x x)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))))) |
(if (<=.f64 (*.f64 x x) #s(literal 53000000 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) #s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (*.f64 x x))) |
#s(approx (/ 1 (/ 1 (+ (* (* (+ (* z z) (neg t)) -4) y) (* x x)))) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 33 |
| 0 | 17 | 33 |
| 1 | 56 | 33 |
| 2 | 422 | 33 |
| 3 | 5373 | 33 |
| 0 | 8540 | 32 |
| 0 | 32 | 175 |
| 0 | 50 | 176 |
| 1 | 153 | 173 |
| 2 | 1055 | 171 |
| 0 | 8943 | 166 |
| 0 | 81 | 296 |
| 1 | 248 | 292 |
| 2 | 830 | 292 |
| 3 | 3721 | 284 |
| 4 | 7665 | 284 |
| 0 | 8054 | 271 |
| 0 | 308 | 1617 |
| 1 | 910 | 1602 |
| 2 | 3144 | 1589 |
| 0 | 8150 | 1489 |
| 0 | 366 | 1890 |
| 1 | 1087 | 1868 |
| 2 | 3737 | 1847 |
| 0 | 8091 | 1725 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 681 to 369 computations (45.8% saved)
(abs x)
(abs z)
Compiled 940 to 308 computations (67.2% saved)
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