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)
| 677.0ms | 8 256× | 0 | valid |
ival-mult: 301.0ms (75.9% of total)ival-sub: 80.0ms (20.2% of total)ival-true: 6.0ms (1.5% of total)exact: 6.0ms (1.5% of total)ival-assert: 4.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 14 | 0 | - | 0 | - | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
| 11 | 0 | - | 0 | - | (*.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 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) | nan-rescue | 14 | 0 |
| ↳ | (*.f64 x x) | overflow | 64 | |
| ↳ | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) | overflow | 75 | |
| ↳ | (-.f64 (*.f64 z z) t) | overflow | 57 | |
| ↳ | (*.f64 z z) | overflow | 57 | |
*.f64 | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) | n*o | 11 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 24 | 0 |
| - | 1 | 231 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 24 | 0 | 0 |
| - | 1 | 0 | 231 |
| number | freq |
|---|---|
| 0 | 231 |
| 1 | 25 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 62.0ms | 512× | 0 | valid |
Compiled 99 to 37 computations (62.6% saved)
ival-mult: 13.0ms (72.1% of total)ival-sub: 5.0ms (27.7% 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 |
|---|---|---|
| ▶ | 90.8% | (-.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 | 0.01171875 | (-.f64 (*.f64 z z) t) | |
| accuracy | 2.652020690890671 | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) | |
| accuracy | 3.203108486641647 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
| 24.0ms | 256× | 0 | valid |
Compiled 43 to 13 computations (69.8% saved)
ival-mult: 12.0ms (80.7% of total)ival-sub: 2.0ms (13.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.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 | |
|---|---|---|---|---|
| 2.0ms | 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)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 269 | 10 | 279 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 270 | 10 | 280 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.3% | (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))) |
| ▶ | 93.9% | (fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
| 52.2% | (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal 4 binary64)) y) (fma.f64 z z t))) | |
| 90.7% | (-.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64)))) | |
| ▶ | 66.6% | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t)))) |
| 68.8% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))) | |
| ▶ | 66.6% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))) |
| 60.3% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) | |
| 37.7% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) | |
| ▶ | 28.0% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) |
Compiled 376 to 286 computations (23.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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))) | |
| cost-diff | 0 | (*.f64 y #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 1 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t)))) | |
| 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 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 (*.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 | (fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 206 |
| 0 | 53 | 201 |
| 1 | 98 | 199 |
| 2 | 222 | 199 |
| 3 | 562 | 199 |
| 4 | 976 | 199 |
| 5 | 1478 | 199 |
| 6 | 1996 | 199 |
| 7 | 2255 | 199 |
| 8 | 2317 | 199 |
| 9 | 2323 | 199 |
| 10 | 2323 | 199 |
| 11 | 2323 | 199 |
| 0 | 2323 | 198 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
x |
(*.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) |
#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))) (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 |
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t)))) |
(*.f64 x x) |
x |
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t))) |
(*.f64 y #s(literal 4 binary64)) |
y |
#s(literal 4 binary64) |
#s(approx (- (* z z) t) (neg.f64 t)) |
(neg.f64 t) |
t |
(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 |
| Outputs |
|---|
(fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x)) |
x |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) |
(*.f64 (-.f64 (*.f64 z z) t) y) |
(*.f64 y (-.f64 (*.f64 z z) t)) |
(-.f64 (*.f64 z z) t) |
(*.f64 z z) |
z |
t |
y |
#s(literal -4 binary64) |
#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 #s(literal 4 binary64) y) t)) |
(*.f64 (*.f64 t y) #s(literal 4 binary64)) |
(*.f64 (*.f64 #s(literal 4 binary64) y) t) |
(*.f64 t y) |
(*.f64 y t) |
t |
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) y) t (*.f64 x x))) |
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)) |
(*.f64 t y) |
(*.f64 y t) |
t |
y |
#s(literal 4 binary64) |
(*.f64 x x) |
x |
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) #s(approx (- (* z z) t) (neg.f64 t)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t))) |
(*.f64 #s(approx (- (* z z) t) (neg.f64 t)) (*.f64 #s(literal 4 binary64) y)) |
(*.f64 y #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) y) |
y |
#s(literal 4 binary64) |
#s(approx (- (* z z) t) (neg.f64 t)) |
(neg.f64 t) |
t |
(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 (*.f64 #s(literal -4 binary64) z) y) |
(*.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)) |
(fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)) |
(*.f64 (neg.f64 t) y) |
(neg.f64 t) |
t |
(*.f64 x x) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal -4 binary64) y) | |
| accuracy | 0.0 | (neg.f64 t) | |
| accuracy | 0.4632204455986479 | (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)) | |
| accuracy | 3.5273224200774123 | (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))) | |
| accuracy | 0.0 | (neg.f64 t) | |
| accuracy | 2.652020690890671 | (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t))) | |
| accuracy | 3.203108486641647 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t)))) | |
| accuracy | 30.724356111483196 | #s(approx (- (* z z) t) (neg.f64 t)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (*.f64 t y) | |
| accuracy | 0.4632204455986479 | (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) | |
| accuracy | 20.846947484435805 | #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 t y) | |
| accuracy | 0.020195019536884032 | (*.f64 (*.f64 t y) #s(literal 4 binary64)) | |
| accuracy | 46.10799500482069 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) | |
| accuracy | 0.010097509768442016 | (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) | |
| accuracy | 0.01171875 | (-.f64 (*.f64 z z) t) | |
| accuracy | 1.4999834856333614 | (fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) | |
| accuracy | 2.652826761049508 | (*.f64 (-.f64 (*.f64 z z) t) y) |
| 158.0ms | 256× | 0 | valid |
Compiled 189 to 28 computations (85.2% saved)
ival-mult: 28.0ms (78.5% of total)ival-add: 4.0ms (11.2% of total)ival-sub: 2.0ms (5.6% of total)ival-neg: 1.0ms (2.8% 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 x x (*.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) |
#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))) (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) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t)))) |
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t))) |
(*.f64 y #s(literal 4 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))) |
(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 (- (* z z) t) (neg.f64 t)) |
(neg.f64 t) |
| Outputs |
|---|
(* -4 (* y (- (pow z 2) t))) |
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) |
(- (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))) (* 4 (* t y))) |
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2)))))) |
(* y (- (pow z 2) t)) |
(* t y) |
(* 4 (* y (- (pow z 2) t))) |
(* 4 y) |
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2)) |
(* -4 (* y z)) |
(* -4 y) |
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y))) |
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t)))) |
(* y (+ (* 4 t) (/ (pow x 2) y))) |
(* y (+ (* -4 (pow z 2)) (* 4 t))) |
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y)))) |
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t))))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t))))) |
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -4 t) (* 4 (pow z 2))))) |
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))) |
(* -1 (* t y)) |
(+ (* -1 (* t y)) (* y (pow z 2))) |
(* -1 t) |
(- (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)))) |
(* -4 (* y (pow z 2))) |
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2))))) |
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2))))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ t (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))) |
(+ (* -4 (* y (pow z 2))) (pow x 2)) |
(+ (* -1 t) (pow z 2)) |
(- (pow x 2) (* 4 (* y (pow z 2)))) |
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 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)) |
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(* t (+ (* 4 y) (/ (pow x 2) t))) |
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))) |
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t))))) |
(* -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))))) |
(* -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 (pow z 2)) t)) (* 4 y)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | x | @ | inf | ((+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) (- (* z z) t)) (* y 4) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* z z) t) (neg t)) |
| 14.0ms | t | @ | -inf | ((+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) (- (* z z) t)) (* y 4) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* z z) t) (neg t)) |
| 3.0ms | y | @ | -inf | ((+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) (- (* z z) t)) (* y 4) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* z z) t) (neg t)) |
| 3.0ms | y | @ | inf | ((+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) (- (* z z) t)) (* y 4) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* z z) t) (neg t)) |
| 3.0ms | x | @ | 0 | ((+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) (- (* z z) t)) (* y 4) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* z z) t) (neg t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 592 |
| 1 | 509 | 592 |
| 2 | 1665 | 590 |
| 3 | 4749 | 584 |
| 0 | 8468 | 553 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (* y (- (pow z 2) t))) |
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) |
(- (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))) (* 4 (* t y))) |
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2)))))) |
(* y (- (pow z 2) t)) |
(* t y) |
(* 4 (* y (- (pow z 2) t))) |
(* 4 y) |
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2)) |
(* -4 (* y z)) |
(* -4 y) |
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y))) |
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t)))) |
(* y (+ (* 4 t) (/ (pow x 2) y))) |
(* y (+ (* -4 (pow z 2)) (* 4 t))) |
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y)))) |
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t))))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t))))) |
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y))))) |
(* -1 (* y (+ (* -4 t) (* 4 (pow z 2))))) |
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))) |
(* -1 (* t y)) |
(+ (* -1 (* t y)) (* y (pow z 2))) |
(* -1 t) |
(- (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)))) |
(* -4 (* y (pow z 2))) |
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2))))) |
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2))))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ t (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))) |
(+ (* -4 (* y (pow z 2))) (pow x 2)) |
(+ (* -1 t) (pow z 2)) |
(- (pow x 2) (* 4 (* y (pow z 2)))) |
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 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)) |
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(* t (+ (* 4 y) (/ (pow x 2) t))) |
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))) |
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t))))) |
(* -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))))) |
(* -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 (pow z 2)) t)) (* 4 y)))) |
| 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) #s(literal -4 binary64)) y (*.f64 x x)) |
(- (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)) |
(* 4 (* t y)) |
(*.f64 (*.f64 y t) #s(literal 4 binary64)) |
(+ (* 4 (* t y)) (pow x 2)) |
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(+ (* -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)) |
(* (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)) |
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) |
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.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)) |
(* y (- (pow z 2) t)) |
(*.f64 (-.f64 (*.f64 z z) t) y) |
(* t y) |
(*.f64 y t) |
(* 4 (* y (- (pow z 2) t))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64)) y) |
(* 4 y) |
(*.f64 #s(literal 4 binary64) y) |
(+ (* 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 y z) #s(literal -4 binary64)) |
(* -4 y) |
(*.f64 #s(literal -4 binary64) y) |
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y))) |
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.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)) |
(* y (+ (* 4 t) (/ (pow x 2) y))) |
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) |
(* 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)) |
(* -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)) |
(* -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)) |
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y))))) |
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.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 (* 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 x 2) (* -4 (* t y))) |
(fma.f64 (*.f64 y t) #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)) |
(* -4 (* t y)) |
(*.f64 (*.f64 #s(literal -4 binary64) y) t) |
(+ (* -4 (* t y)) (* 4 (* y (pow z 2)))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64)) y) |
(* -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))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x z) z) x (*.f64 #s(literal -4 binary64) y)) (*.f64 z z) (*.f64 (*.f64 y t) #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)) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) y) |
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2))))) |
(*.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 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 y t) #s(literal 4 binary64))) |
(* 4 (* y (pow z 2))) |
(*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y) |
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64)) y) |
(+ (* -4 (* y (pow z 2))) (pow x 2)) |
(fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.f64 x x)) |
(+ (* -1 t) (pow z 2)) |
(-.f64 (*.f64 z z) t) |
(- (pow x 2) (* 4 (* y (pow z 2)))) |
(fma.f64 (*.f64 (*.f64 y z) #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)) |
(* 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 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) |
(* 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 x 2) t))) |
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) |
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64)) y) |
(* -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) (* 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) |
(* -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) (* -1 (/ (pow x 2) t))))) |
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) |
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 167 |
| 0 | 53 | 162 |
| 1 | 178 | 160 |
| 2 | 1374 | 160 |
| 0 | 9076 | 159 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x x (*.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) |
#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))) (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) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t)))) |
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t))) |
(*.f64 y #s(literal 4 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))) |
(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 (- (* z z) t) (neg.f64 t)) |
(neg.f64 t) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 y (-.f64 (*.f64 z z) t)) #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) (-.f64 (*.f64 z z) t)) y (*.f64 (neg.f64 x) x)))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 y (-.f64 (*.f64 z z) t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 (*.f64 y z) z) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z))))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 y (-.f64 (*.f64 z z) t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 y (-.f64 (*.f64 z z) t)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)) (*.f64 y (-.f64 (*.f64 z z) t))))))) |
(*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 y (-.f64 (*.f64 z z) t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 (*.f64 y z) z) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 2 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) y) t (*.f64 x x)))))))) |
(*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 (*.f64 y z) z) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x))))) (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (*.f64 x x)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (*.f64 x x))) (pow.f64 (*.f64 (*.f64 y t) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (*.f64 x x)) (*.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y t) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z)) (fma.f64 x x (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z)))) (-.f64 (*.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64)) (fma.f64 x x (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z)))) |
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(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y t) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 y t) #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 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 y t) (*.f64 x x))))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 y t) #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 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 y t) (*.f64 #s(literal -4 binary64) (*.f64 x x))))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 y t) #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))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y t) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 y t) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y t) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y t) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y t) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 y t) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y t) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 y t) #s(literal 4 binary64)) #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 y t) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y t) #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 y t) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 y t) #s(literal 4 binary64)) #s(literal 2 binary64))) (fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 y t) (*.f64 x x))))) (fma.f64 (pow.f64 (*.f64 y t) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(/.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 y t) #s(literal 4 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 y t) (*.f64 #s(literal -4 binary64) (*.f64 x x))))) (fma.f64 (pow.f64 (*.f64 y t) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y t) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y t) #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 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 y t) (*.f64 x x))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y t) #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 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 y t) (*.f64 #s(literal -4 binary64) (*.f64 x x))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y t) #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 y t) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y t) #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 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 y t) (*.f64 x x)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y t) #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 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 y t) (*.f64 #s(literal -4 binary64) (*.f64 x x)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) t))))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 y t) #s(literal 4 binary64))) |
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) |
(fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)) |
(fma.f64 (*.f64 (neg.f64 t) #s(literal -4 binary64)) y (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal -4 binary64) (neg.f64 t)) y (*.f64 x x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 y t) #s(literal -4 binary64)) (*.f64 x x)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 y t) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x))))) |
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 t) (*.f64 x x)) |
(fma.f64 (neg.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 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 4 binary64) (*.f64 y t) (*.f64 x x)) |
(fma.f64 #s(literal -4 binary64) (*.f64 (neg.f64 t) y) (*.f64 x x)) |
(fma.f64 y (*.f64 t #s(literal 4 binary64)) (*.f64 x x)) |
(fma.f64 y (*.f64 (neg.f64 t) #s(literal -4 binary64)) (*.f64 x x)) |
(fma.f64 t (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) |
(fma.f64 x x (*.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64))) |
(fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))) |
(-.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 y t) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) t)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y t) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 y t) #s(literal -4 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y t) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 x) x))))) |
(+.f64 (*.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 y t) #s(literal 4 binary64))) |
(+.f64 (*.f64 (*.f64 y t) #s(literal 4 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 z #s(literal -4 binary64)) y) |
(*.f64 (*.f64 y z) #s(literal -4 binary64)) |
(*.f64 (*.f64 #s(literal -4 binary64) y) z) |
(*.f64 #s(literal -4 binary64) (*.f64 y z)) |
(*.f64 y (*.f64 #s(literal -4 binary64) z)) |
(*.f64 z (*.f64 #s(literal -4 binary64) y)) |
(*.f64 (neg.f64 y) #s(literal 4 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) y)) |
(*.f64 #s(literal 4 binary64) (neg.f64 y)) |
(*.f64 #s(literal -4 binary64) y) |
(*.f64 y #s(literal -4 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))))) |
(neg.f64 (*.f64 #s(literal 4 binary64) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y)) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) y)) |
#s(approx (- (* z z) t) (neg.f64 t)) |
(*.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 15 945 to 1 549 computations (90.3% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 502 | 7 | 509 |
| Fresh | 3 | 2 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 509 | 10 | 519 |
| Status | Accuracy | Program |
|---|---|---|
| 53.0% | (fma.f64 x x (/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) (*.f64 #s(literal -4 binary64) y)) (fma.f64 z z t))) | |
| ▶ | 93.9% | (fma.f64 x x (/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)))) |
| ▶ | 71.5% | (fma.f64 x x (*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64))) |
| 74.1% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.f64 x x))) | |
| 67.0% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))) | |
| ▶ | 67.0% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) |
| ▶ | 60.3% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
| 37.7% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) | |
| ✓ | 28.0% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) |
| ▶ | 28.0% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
Compiled 379 to 285 computations (24.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (* z z) t) (*.f64 z z)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64)) | |
| cost-diff | 0 | (fma.f64 x x (*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64))) | |
| 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 y t) | |
| cost-diff | 0 | (*.f64 (*.f64 y t) #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #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)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)) | |
| cost-diff | 0 | (*.f64 #s(literal -4 binary64) y) | |
| cost-diff | 0 | (fma.f64 x x (/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)))) | |
| cost-diff | 2 | (/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 228 |
| 0 | 50 | 230 |
| 1 | 86 | 221 |
| 2 | 167 | 221 |
| 3 | 445 | 221 |
| 4 | 955 | 221 |
| 5 | 1659 | 221 |
| 6 | 2688 | 221 |
| 7 | 3163 | 221 |
| 8 | 3260 | 221 |
| 9 | 3270 | 221 |
| 10 | 3270 | 221 |
| 11 | 3270 | 221 |
| 0 | 3270 | 221 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x x (/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)))) |
x |
(/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))) |
(*.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
y |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)) |
#s(literal 1 binary64) |
(-.f64 (*.f64 z z) t) |
(*.f64 z z) |
z |
t |
#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))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) |
(fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))) |
x |
(*.f64 (*.f64 y t) #s(literal 4 binary64)) |
(*.f64 y t) |
y |
t |
#s(literal 4 binary64) |
#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) |
(fma.f64 x x (*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64))) |
x |
(*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64)) |
(*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) |
#s(approx (- (* z z) t) (*.f64 z z)) |
(*.f64 z z) |
z |
y |
#s(literal -4 binary64) |
| Outputs |
|---|
(fma.f64 x x (/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)))) |
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x)) |
x |
(/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) y) |
(*.f64 y #s(literal -4 binary64)) |
#s(literal -4 binary64) |
y |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)) |
#s(literal 1 binary64) |
(-.f64 (*.f64 z z) t) |
(*.f64 z z) |
z |
t |
#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)) |
(*.f64 #s(literal 4 binary64) t) |
t |
#s(literal 4 binary64) |
y |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #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 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))) |
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) |
x |
(*.f64 (*.f64 y t) #s(literal 4 binary64)) |
(*.f64 (*.f64 t y) #s(literal 4 binary64)) |
(*.f64 y t) |
(*.f64 t y) |
y |
t |
#s(literal 4 binary64) |
#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) |
(fma.f64 x x (*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64))) |
(fma.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64)) (*.f64 x x)) |
x |
(*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64)) |
(*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) |
(*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) |
#s(approx (- (* z z) t) (*.f64 z z)) |
(*.f64 z z) |
z |
y |
#s(literal -4 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.010097509768442016 | (*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64)) | |
| accuracy | 1.4999834856333614 | (fma.f64 x x (*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64))) | |
| accuracy | 2.652826761049508 | (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) | |
| accuracy | 31.85380107547693 | #s(approx (- (* z z) t) (*.f64 z z)) | |
| accuracy | 0.010097509768442016 | (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) | |
| accuracy | 0.01171875 | (-.f64 (*.f64 z z) t) | |
| accuracy | 2.652826761049508 | (*.f64 (-.f64 (*.f64 z z) t) y) | |
| accuracy | 23.776873958462264 | #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 y t) | |
| accuracy | 0.020195019536884032 | (*.f64 (*.f64 y t) #s(literal 4 binary64)) | |
| accuracy | 0.24999724760556022 | (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))) | |
| accuracy | 20.846947484435805 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #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 | 46.10799500482069 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) | |
| accuracy | 0.01171875 | (-.f64 (*.f64 z z) t) | |
| accuracy | 0.10809541149207616 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)) | |
| accuracy | 1.4999834856333614 | (fma.f64 x x (/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)))) | |
| accuracy | 2.645442727883125 | (/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))) |
| 102.0ms | 256× | 0 | valid |
Compiled 192 to 27 computations (85.9% saved)
ival-sub: 43.0ms (50.6% of total)ival-add: 23.0ms (27.1% of total)ival-mult: 16.0ms (18.8% of total)ival-div: 3.0ms (3.5% 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 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))) |
(fma.f64 x x (/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)))) |
(*.f64 #s(literal -4 binary64) y) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)) |
#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))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) |
(fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))) |
(*.f64 (*.f64 y t) #s(literal 4 binary64)) |
(*.f64 y t) |
#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) |
(fma.f64 x x (*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64))) |
(*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64)) |
(*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) |
#s(approx (- (* z z) t) (*.f64 z z)) |
| Outputs |
|---|
(* -4 (* y (- (pow z 2) t))) |
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) |
(- (pow x 2) (* 4 (* y (- (pow z 2) t)))) |
(* 4 (* t y)) |
(+ (* 4 (* t y)) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) |
(* -4 y) |
(* t y) |
(* y (- (pow z 2) t)) |
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y))) |
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t)))) |
(* y (+ (* 4 t) (/ (pow x 2) y))) |
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t))))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t))))) |
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y))))) |
(+ (* -4 (* y (pow z 2))) (* 4 (* t y))) |
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) |
(/ -1 t) |
(- (* -1 (/ (pow z 2) (pow t 2))) (/ 1 t)) |
(- (* (pow z 2) (- (* -1 (/ (pow z 2) (pow t 3))) (/ 1 (pow t 2)))) (/ 1 t)) |
(- (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (pow z 2) (pow t 4))) (/ 1 (pow t 3)))) (/ 1 (pow t 2)))) (/ 1 t)) |
(- (pow x 2) (* -4 (* t y))) |
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y))) |
(* -1 (* t y)) |
(+ (* -1 (* t y)) (* y (pow z 2))) |
(* -1 t) |
(- (pow z 2) t) |
(* -4 (* y (pow z 2))) |
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2))))) |
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2))))) |
(/ 1 (pow z 2)) |
(/ (+ 1 (/ t (pow z 2))) (pow z 2)) |
(/ (- (+ 1 (/ (pow t 2) (pow z 4))) (* -1 (/ t (pow z 2)))) (pow z 2)) |
(/ (- (+ 1 (/ (pow t 3) (pow z 6))) (+ (* -1 (/ t (pow z 2))) (* -1 (/ (pow t 2) (pow z 4))))) (pow z 2)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2))))) |
(+ (* -4 (* y (pow z 2))) (pow x 2)) |
(+ (/ 1 (pow z 2)) (/ t (pow z 4))) |
(+ (* t (+ (/ 1 (pow z 4)) (/ t (pow z 6)))) (/ 1 (pow z 2))) |
(+ (* t (+ (* t (+ (/ 1 (pow z 6)) (/ t (pow z 8)))) (/ 1 (pow z 4)))) (/ 1 (pow z 2))) |
(- (pow x 2) (* 4 (* y (pow z 2)))) |
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) |
(* 4 t) |
(+ (* -1 t) (pow z 2)) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t)))) |
(/ (- (* -1 (/ (pow z 2) t)) 1) t) |
(/ (- (* -1 (/ (pow z 4) (pow t 2))) (+ 1 (/ (pow z 2) t))) t) |
(/ (- (* -1 (/ (pow z 6) (pow t 3))) (+ 1 (+ (/ (pow z 2) t) (/ (pow z 4) (pow t 2))))) t) |
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(* t (+ (* 4 y) (/ (pow x 2) t))) |
(* t (+ (* -1 y) (/ (* y (pow z 2)) t))) |
(* t (- (/ (pow z 2) t) 1)) |
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t))))) |
(* -1 (/ (+ 1 (/ (pow z 2) t)) t)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 4) t)) (pow z 2)) t))) t)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) t) (* -1 (pow z 4))) t)) (pow z 2)) t))) 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 (+ y (* -1 (/ (* y (pow z 2)) t))))) |
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 59.0ms | y | @ | 0 | ((/ (* -4 y) (/ 1 (- (* z z) t))) (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (* -4 y) (/ 1 (- (* z z) t)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* x x) (* (* y t) 4)) (* (* y t) 4) (* y t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t)) |
| 2.0ms | t | @ | -inf | ((/ (* -4 y) (/ 1 (- (* z z) t))) (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (* -4 y) (/ 1 (- (* z z) t)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* x x) (* (* y t) 4)) (* (* y t) 4) (* y t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t)) |
| 2.0ms | t | @ | 0 | ((/ (* -4 y) (/ 1 (- (* z z) t))) (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (* -4 y) (/ 1 (- (* z z) t)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* x x) (* (* y t) 4)) (* (* y t) 4) (* y t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t)) |
| 2.0ms | y | @ | -inf | ((/ (* -4 y) (/ 1 (- (* z z) t))) (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (* -4 y) (/ 1 (- (* z z) t)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* x x) (* (* y t) 4)) (* (* y t) 4) (* y t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t)) |
| 2.0ms | t | @ | inf | ((/ (* -4 y) (/ 1 (- (* z z) t))) (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (* -4 y) (/ 1 (- (* z z) t)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* x x) (* (* y t) 4)) (* (* y t) 4) (* y t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 217 | 883 |
| 1 | 659 | 861 |
| 2 | 2024 | 828 |
| 3 | 6407 | 816 |
| 0 | 8093 | 769 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (* y (- (pow z 2) t))) |
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) |
(- (pow x 2) (* 4 (* y (- (pow z 2) t)))) |
(* 4 (* t y)) |
(+ (* 4 (* t y)) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) |
(* -4 y) |
(* t y) |
(* y (- (pow z 2) t)) |
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y))) |
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t)))) |
(* y (+ (* 4 t) (/ (pow x 2) y))) |
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t))))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t))))) |
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y))))) |
(+ (* -4 (* y (pow z 2))) (* 4 (* t y))) |
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) |
(/ -1 t) |
(- (* -1 (/ (pow z 2) (pow t 2))) (/ 1 t)) |
(- (* (pow z 2) (- (* -1 (/ (pow z 2) (pow t 3))) (/ 1 (pow t 2)))) (/ 1 t)) |
(- (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (pow z 2) (pow t 4))) (/ 1 (pow t 3)))) (/ 1 (pow t 2)))) (/ 1 t)) |
(- (pow x 2) (* -4 (* t y))) |
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y))) |
(* -1 (* t y)) |
(+ (* -1 (* t y)) (* y (pow z 2))) |
(* -1 t) |
(- (pow z 2) t) |
(* -4 (* y (pow z 2))) |
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2))))) |
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2))))) |
(/ 1 (pow z 2)) |
(/ (+ 1 (/ t (pow z 2))) (pow z 2)) |
(/ (- (+ 1 (/ (pow t 2) (pow z 4))) (* -1 (/ t (pow z 2)))) (pow z 2)) |
(/ (- (+ 1 (/ (pow t 3) (pow z 6))) (+ (* -1 (/ t (pow z 2))) (* -1 (/ (pow t 2) (pow z 4))))) (pow z 2)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))) |
(* y (pow z 2)) |
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2))))) |
(+ (* -4 (* y (pow z 2))) (pow x 2)) |
(+ (/ 1 (pow z 2)) (/ t (pow z 4))) |
(+ (* t (+ (/ 1 (pow z 4)) (/ t (pow z 6)))) (/ 1 (pow z 2))) |
(+ (* t (+ (* t (+ (/ 1 (pow z 6)) (/ t (pow z 8)))) (/ 1 (pow z 4)))) (/ 1 (pow z 2))) |
(- (pow x 2) (* 4 (* y (pow z 2)))) |
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2)))) |
(* 4 t) |
(+ (* -1 t) (pow z 2)) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t)))) |
(/ (- (* -1 (/ (pow z 2) t)) 1) t) |
(/ (- (* -1 (/ (pow z 4) (pow t 2))) (+ 1 (/ (pow z 2) t))) t) |
(/ (- (* -1 (/ (pow z 6) (pow t 3))) (+ 1 (+ (/ (pow z 2) t) (/ (pow z 4) (pow t 2))))) t) |
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(* t (+ (* 4 y) (/ (pow x 2) t))) |
(* t (+ (* -1 y) (/ (* y (pow z 2)) t))) |
(* t (- (/ (pow z 2) t) 1)) |
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t))))) |
(* -1 (/ (+ 1 (/ (pow z 2) t)) t)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 4) t)) (pow z 2)) t))) t)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) t) (* -1 (pow z 4))) t)) (pow z 2)) t))) 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 (+ y (* -1 (/ (* y (pow z 2)) t))))) |
(* -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)) |
(+ (* -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)) |
(- (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) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) #s(literal 4 binary64)) t #s(literal 1 binary64)) (*.f64 x x)) |
(* -4 y) |
(*.f64 #s(literal -4 binary64) y) |
(* t y) |
(*.f64 t y) |
(* y (- (pow z 2) t)) |
(*.f64 (-.f64 (*.f64 z z) t) 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) |
(* 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) |
(* y (+ (* 4 t) (/ (pow x 2) y))) |
(*.f64 (fma.f64 #s(literal 4 binary64) t (/.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) |
(* -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 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) t (/.f64 (*.f64 x x) y)) y) |
(+ (* -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) y) #s(literal -4 binary64) (*.f64 x x)) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(- (* -1 (/ (pow z 2) (pow t 2))) (/ 1 t)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 z z) t)) t) |
(- (* (pow z 2) (- (* -1 (/ (pow z 2) (pow t 3))) (/ 1 (pow t 2)))) (/ 1 t)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 4 binary64)) t)) t)) t) |
(- (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (pow z 2) (pow t 4))) (/ 1 (pow t 3)))) (/ 1 (pow t 2)))) (/ 1 t)) |
(fma.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (pow.f64 t #s(literal 4 binary64)))) (fma.f64 (/.f64 z (pow.f64 t #s(literal 3 binary64))) z (/.f64 (/.f64 #s(literal 1 binary64) t) t))) (*.f64 z z) (/.f64 #s(literal -1 binary64) t)) |
(- (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) y) #s(literal -4 binary64) (*.f64 x x)) |
(* -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) |
(* -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))))) |
(*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y (*.f64 z z)) t (neg.f64 y))) (*.f64 z z)) |
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y (*.f64 z z)) t (neg.f64 y)) (*.f64 (/.f64 (/.f64 x z) z) x)) (*.f64 z z)) |
(/ 1 (pow z 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 z z)) |
(/ (+ 1 (/ t (pow z 2))) (pow z 2)) |
(/.f64 (/.f64 (+.f64 (/.f64 t (*.f64 z z)) #s(literal 1 binary64)) z) z) |
(/ (- (+ 1 (/ (pow t 2) (pow z 4))) (* -1 (/ t (pow z 2)))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 t (pow.f64 z #s(literal 4 binary64))) t (+.f64 (/.f64 t (*.f64 z z)) #s(literal 1 binary64))) z) z) |
(/ (- (+ 1 (/ (pow t 3) (pow z 6))) (+ (* -1 (/ t (pow z 2))) (* -1 (/ (pow t 2) (pow z 4))))) (pow z 2)) |
(/.f64 (+.f64 (fma.f64 (/.f64 t (pow.f64 z #s(literal 4 binary64))) t (+.f64 (/.f64 t (*.f64 z z)) #s(literal 1 binary64))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 z z)) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y (*.f64 z z)) t (neg.f64 y)) (*.f64 (/.f64 (/.f64 x z) z) x)) (*.f64 z z)) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) y) |
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2))))) |
(*.f64 (fma.f64 (/.f64 y (neg.f64 z)) (/.f64 t z) y) (*.f64 z z)) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z z))) 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 (pow z 2)) (/ t (pow z 4))) |
(/.f64 (/.f64 (+.f64 (/.f64 t (*.f64 z z)) #s(literal 1 binary64)) z) z) |
(+ (* t (+ (/ 1 (pow z 4)) (/ t (pow z 6)))) (/ 1 (pow z 2))) |
(+.f64 (fma.f64 (/.f64 t (pow.f64 z #s(literal 6 binary64))) t (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 t (pow.f64 z #s(literal 4 binary64)))) |
(+ (* t (+ (* t (+ (/ 1 (pow z 6)) (/ t (pow z 8)))) (/ 1 (pow z 4)))) (/ 1 (pow z 2))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 t (pow.f64 z #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) t (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) t (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(- (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 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x)) |
(* 4 t) |
(*.f64 #s(literal 4 binary64) t) |
(+ (* -1 t) (pow z 2)) |
(-.f64 (*.f64 z z) t) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))) |
(*.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal -4 binary64) #s(literal 4 binary64))) t) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) t)) t) |
(/ (- (* -1 (/ (pow z 2) t)) 1) t) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 z z) t)) t) |
(/ (- (* -1 (/ (pow z 4) (pow t 2))) (+ 1 (/ (pow z 2) t))) t) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 4 binary64)) t)) t)) t) |
(/ (- (* -1 (/ (pow z 6) (pow t 3))) (+ 1 (+ (/ (pow z 2) t) (/ (pow z 4) (pow t 2))))) t) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z z (/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) t) (pow.f64 z #s(literal 4 binary64))) t)) t)) t) |
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) t)) t) |
(* t (+ (* 4 y) (/ (pow x 2) t))) |
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (*.f64 x x) t)) t) |
(* t (+ (* -1 y) (/ (* y (pow z 2)) t))) |
(*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64))) |
(* t (- (/ (pow z 2) t) 1)) |
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t) |
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(*.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal -4 binary64) #s(literal 4 binary64))) t) |
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) t)) t) |
(* -1 (/ (+ 1 (/ (pow z 2) t)) t)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 z z) t)) t) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 4) t)) (pow z 2)) t))) t)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 4 binary64)) t)) t)) t) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) t) (* -1 (pow z 4))) t)) (pow z 2)) t))) t)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z z (/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) t) (pow.f64 z #s(literal 4 binary64))) t)) t)) t) |
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) t)) t) |
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (*.f64 x x) t)) t) |
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t))))) |
(*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64))) |
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t))))) |
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 193 |
| 0 | 50 | 195 |
| 1 | 159 | 186 |
| 2 | 1168 | 186 |
| 0 | 8601 | 186 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))) |
(fma.f64 x x (/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)))) |
(*.f64 #s(literal -4 binary64) y) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)) |
#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))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) |
(fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))) |
(*.f64 (*.f64 y t) #s(literal 4 binary64)) |
(*.f64 y t) |
#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) |
(fma.f64 x x (*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64))) |
(*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64)) |
(*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) |
#s(approx (- (* z z) t) (*.f64 z z)) |
| Outputs |
|---|
(*.f64 (neg.f64 (*.f64 (-.f64 (*.f64 z z) t) y)) #s(literal 4 binary64)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t)) y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t)) y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 y) (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) #s(literal -1 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 z z t))) |
(*.f64 (/.f64 (neg.f64 y) (pow.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) #s(literal -1 binary64))) (/.f64 (neg.f64 y) (fma.f64 z z t))) |
(*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (neg.f64 y) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))))) |
(*.f64 (/.f64 y (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) #s(literal -1 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 z z t))) |
(*.f64 (/.f64 y (pow.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 #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) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64))) (/.f64 (neg.f64 y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 y (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) #s(literal -1 binary64))) (/.f64 y (fma.f64 z z t))) |
(*.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 y (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))))) |
(*.f64 (/.f64 (neg.f64 y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64))) (/.f64 y (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 y #s(literal -4 binary64)) (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) #s(literal -1 binary64))) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 y #s(literal -4 binary64)) (pow.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 y #s(literal -4 binary64)) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))) #s(literal 4 binary64)) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t)))) |
(*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 z z) t))) |
(*.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) (*.f64 y #s(literal -4 binary64))) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (*.f64 y #s(literal -4 binary64))) (pow.f64 (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y) |
(*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 z z) t))) |
(*.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t))) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) |
(*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 z z) t)) (*.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 z z) t)) (neg.f64 y)) |
(*.f64 (fma.f64 (neg.f64 z) z t) (*.f64 #s(literal 4 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64)) y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))) |
(*.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 (neg.f64 z) z t)) |
(*.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (-.f64 (*.f64 z z) t) y))) |
(*.f64 #s(literal 4 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t)))) |
(*.f64 #s(literal 4 binary64) (/.f64 (neg.f64 y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64)))) |
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(*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64)) (*.f64 x x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))) (/.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))) (/.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))) (/.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))) (/.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) (-.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))) (*.f64 (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y))) (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y))) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) (-.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64))) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) (-.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) (*.f64 x x)) (-.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y))))) (fma.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) 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 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64)) (*.f64 x x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64)) (*.f64 x x)))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64)))) |
(fma.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) #s(literal -4 binary64)) y (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal -4 binary64) #s(approx (- (* z z) t) (*.f64 z z))) y (*.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))))) |
(fma.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64) (*.f64 x x)) |
(fma.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64)))) |
(fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64)))) |
(fma.f64 (*.f64 y #s(literal -4 binary64)) #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 x x)) |
(fma.f64 y (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) #s(literal -4 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal -4 binary64) (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) (*.f64 x x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))) (/.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (fma.f64 x x (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y)))))) |
(+.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) #s(literal -4 binary64)) y) |
(*.f64 (*.f64 #s(literal -4 binary64) #s(approx (- (* z z) t) (*.f64 z z))) y) |
(*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64)) |
(*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 y #s(literal -4 binary64))) |
(*.f64 (*.f64 y #s(literal -4 binary64)) #s(approx (- (* z z) t) (*.f64 z z))) |
(*.f64 y (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y)) |
(/.f64 #s(approx (- (* z z) t) (*.f64 z z)) (pow.f64 (*.f64 y #s(literal -4 binary64)) #s(literal -1 binary64))) |
(neg.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) (*.f64 #s(literal 4 binary64) y))) |
(*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) |
(*.f64 y #s(approx (- (* z z) t) (*.f64 z z))) |
#s(approx (- (* z z) t) (*.f64 z z)) |
Compiled 19 150 to 2 176 computations (88.6% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 662 | 4 | 666 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 0 | 1 |
| Total | 666 | 10 | 676 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 71.5% | (fma.f64 x x (*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64))) |
| ▶ | 74.1% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.f64 x x))) |
| ✓ | 67.0% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) |
| ▶ | 60.3% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))) #s(literal -4 binary64))) |
| ✓ | 60.3% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
| ▶ | 37.7% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) |
| ✓ | 28.0% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
| ▶ | 56.0% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 #s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64))) |
| 66.4% | #s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x))) | |
| ▶ | 43.9% | #s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x)) |
Compiled 396 to 286 computations (27.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))) #s(literal -4 binary64)) | |
| cost-diff | 0 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))) #s(literal -4 binary64))) | |
| cost-diff | 3 | (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))) | |
| cost-diff | 0 | #s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64)) | |
| cost-diff | 0 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 #s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64))) | |
| cost-diff | 3 | (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64))) | |
| 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 x x) | |
| cost-diff | 0 | #s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 (*.f64 y z) #s(literal -4 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 280 |
| 0 | 63 | 280 |
| 1 | 120 | 278 |
| 2 | 290 | 272 |
| 3 | 759 | 272 |
| 4 | 2115 | 257 |
| 5 | 4372 | 257 |
| 6 | 5748 | 257 |
| 7 | 6322 | 257 |
| 8 | 7070 | 257 |
| 9 | 7488 | 257 |
| 10 | 7560 | 257 |
| 0 | 8058 | 252 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.f64 x x)) |
(*.f64 (*.f64 y z) #s(literal -4 binary64)) |
(*.f64 y z) |
y |
z |
#s(literal -4 binary64) |
(*.f64 x x) |
x |
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x)) |
(*.f64 x x) |
x |
#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))) (*.f64 #s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64))) |
(*.f64 #s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64)) |
#s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) |
(*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64))) |
(*.f64 t y) |
t |
y |
(fma.f64 (/.f64 z t) z #s(literal -1 binary64)) |
(/.f64 z t) |
z |
#s(literal -1 binary64) |
#s(literal -4 binary64) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))) #s(literal -4 binary64))) |
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))) |
(neg.f64 y) |
y |
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t)) |
#s(literal -1 binary64) |
(-.f64 (*.f64 z z) t) |
(*.f64 z z) |
z |
t |
#s(literal -4 binary64) |
| Outputs |
|---|
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.f64 x x))) |
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 x x)) |
(*.f64 (*.f64 y z) #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
#s(literal -4 binary64) |
(*.f64 x x) |
x |
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) |
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* 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))) (*.f64 #s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64))) |
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (* (- (* z z) t) y) (*.f64 (fma.f64 z z (neg.f64 t)) y)) #s(literal -4 binary64))) |
(*.f64 #s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64)) |
(*.f64 #s(approx (* (- (* z z) t) y) (*.f64 (fma.f64 z z (neg.f64 t)) y)) #s(literal -4 binary64)) |
#s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) |
#s(approx (* (- (* z z) t) y) (*.f64 (fma.f64 z z (neg.f64 t)) y)) |
(*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64))) |
(*.f64 (fma.f64 z z (neg.f64 t)) y) |
(*.f64 t y) |
t |
y |
(fma.f64 (/.f64 z t) z #s(literal -1 binary64)) |
(/.f64 z t) |
z |
#s(literal -1 binary64) |
#s(literal -4 binary64) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))) #s(literal -4 binary64))) |
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 (*.f64 (-.f64 t (*.f64 z z)) #s(literal 4 binary64)) y)) |
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))) #s(literal -4 binary64)) |
(*.f64 (*.f64 (-.f64 t (*.f64 z z)) #s(literal 4 binary64)) y) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))) |
(*.f64 (fma.f64 z z (neg.f64 t)) y) |
(neg.f64 y) |
y |
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t)) |
(/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 z z))) |
#s(literal -1 binary64) |
(-.f64 (*.f64 z z) t) |
(fma.f64 z z (neg.f64 t)) |
(*.f64 z z) |
z |
t |
#s(literal -4 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (-.f64 (*.f64 z z) t) | |
| accuracy | 0.10809541149207616 | (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t)) | |
| accuracy | 2.6462355300447653 | (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))) | |
| accuracy | 23.776873958462264 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))) #s(literal -4 binary64))) | |
| accuracy | 0.010097509768442016 | (*.f64 #s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64)) | |
| accuracy | 0.06640625 | (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) | |
| accuracy | 6.834984373120599 | (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64))) | |
| accuracy | 23.776873958462264 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 #s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64))) | |
| accuracy | 0.0 | (*.f64 z z) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) | |
| accuracy | 6.330396258751399 | (*.f64 (*.f64 z z) y) | |
| accuracy | 38.246891914249666 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 35.90644325667612 | #s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.025722509768442016 | (*.f64 (*.f64 y z) #s(literal -4 binary64)) | |
| accuracy | 2.007797362586795 | (fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.f64 x x)) | |
| accuracy | 14.575711511534623 | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.f64 x x))) |
| 99.0ms | 256× | 0 | valid |
Compiled 206 to 37 computations (82% saved)
ival-mult: 48.0ms (75.4% of total)ival-div: 8.0ms (12.6% of total)ival-add: 3.0ms (4.7% of total)ival-sub: 2.0ms (3.1% of total)exact: 1.0ms (1.6% of total)ival-neg: 1.0ms (1.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.f64 x x)) |
(*.f64 (*.f64 y z) #s(literal -4 binary64)) |
(*.f64 y z) |
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x)) |
(*.f64 x x) |
#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) |
(*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 #s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64))) |
(*.f64 #s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64)) |
#s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))) #s(literal -4 binary64))) |
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))) #s(literal -4 binary64)) |
(neg.f64 y) |
(fma.f64 (/.f64 z t) z #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t)) |
(-.f64 (*.f64 z z) t) |
| Outputs |
|---|
(* -4 (* y (- (pow z 2) t))) |
(- (pow x 2) (* 4 (* y (- (pow z 2) t)))) |
(* -4 (* y (pow z 2))) |
(+ (* -4 (* y (pow z 2))) (pow x 2)) |
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2))))) |
(* -4 (* y z)) |
(* y z) |
(* y (pow z 2)) |
(* t (* y (- (/ (pow z 2) t) 1))) |
(* y (- (pow z 2) t)) |
(* -1 y) |
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t)))) |
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y))) |
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t))))) |
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))) |
(* -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)) (pow x 2)) |
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) |
(pow z 2) |
(* -1 (* t y)) |
(+ (* -1 (* t y)) (* y (pow z 2))) |
(* 4 (* t y)) |
(+ (* -4 (* y (pow z 2))) (* 4 (* t y))) |
-1 |
(- (/ (pow z 2) t) 1) |
(/ 1 t) |
(+ (/ 1 t) (/ (pow z 2) (pow t 2))) |
(+ (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow z 2) (pow t 3)))) (/ 1 t)) |
(+ (* (pow z 2) (+ (* (pow z 2) (+ (/ 1 (pow t 3)) (/ (pow z 2) (pow t 4)))) (/ 1 (pow t 2)))) (/ 1 t)) |
(* -1 t) |
(- (pow z 2) t) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))) |
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2)))) |
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2))))) |
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2))))) |
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2))))) |
(/ (pow z 2) t) |
(* (pow z 2) (- (/ 1 t) (/ 1 (pow z 2)))) |
(/ -1 (pow z 2)) |
(/ (- (* -1 (/ t (pow z 2))) 1) (pow z 2)) |
(/ (- (* -1 (/ (pow t 2) (pow z 4))) (+ 1 (/ t (pow z 2)))) (pow z 2)) |
(/ (- (* -1 (/ (pow t 3) (pow z 6))) (+ 1 (+ (/ t (pow z 2)) (/ (pow t 2) (pow z 4))))) (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)) t) |
(- (* -1 (/ t (pow z 4))) (/ 1 (pow z 2))) |
(- (* t (- (* -1 (/ t (pow z 6))) (/ 1 (pow z 4)))) (/ 1 (pow z 2))) |
(- (* t (- (* t (- (* -1 (/ t (pow z 8))) (/ 1 (pow z 6)))) (/ 1 (pow z 4)))) (/ 1 (pow z 2))) |
(+ (* -1 t) (pow z 2)) |
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t)))) |
(* t (+ (* -1 y) (/ (* y (pow z 2)) t))) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))) |
(/ (+ 1 (/ (pow z 2) t)) t) |
(/ (- (+ 1 (/ (pow z 4) (pow t 2))) (* -1 (/ (pow z 2) t))) t) |
(/ (- (+ 1 (/ (pow z 6) (pow t 3))) (+ (* -1 (/ (pow z 2) t)) (* -1 (/ (pow z 4) (pow t 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) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t))))) |
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t))))) |
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(* -1 (/ (- (* -1 (/ (pow z 2) t)) 1) t)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) t) (* -1 (pow z 2))) t)) 1) t)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 6) t)) (pow z 4)) t)) (* -1 (pow z 2))) t)) 1) t)) |
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | z | @ | inf | ((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* y z) -4) z) (* x x)) (* (* y z) -4) (* y z) (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (* (* t y) (+ (* (/ z t) z) -1)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (/ (neg y) (/ -1 (- (* z z) t))) (- (* x x) (* (* y 4) (- (* z z) t))) (* (/ (neg y) (/ -1 (- (* z z) t))) -4) (neg y) (+ (* (/ z t) z) -1) (/ -1 (- (* z z) t)) (- (* z z) t)) |
| 3.0ms | y | @ | -inf | ((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* y z) -4) z) (* x x)) (* (* y z) -4) (* y z) (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (* (* t y) (+ (* (/ z t) z) -1)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (/ (neg y) (/ -1 (- (* z z) t))) (- (* x x) (* (* y 4) (- (* z z) t))) (* (/ (neg y) (/ -1 (- (* z z) t))) -4) (neg y) (+ (* (/ z t) z) -1) (/ -1 (- (* z z) t)) (- (* z z) t)) |
| 2.0ms | y | @ | 0 | ((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* y z) -4) z) (* x x)) (* (* y z) -4) (* y z) (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (* (* t y) (+ (* (/ z t) z) -1)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (/ (neg y) (/ -1 (- (* z z) t))) (- (* x x) (* (* y 4) (- (* z z) t))) (* (/ (neg y) (/ -1 (- (* z z) t))) -4) (neg y) (+ (* (/ z t) z) -1) (/ -1 (- (* z z) t)) (- (* z z) t)) |
| 2.0ms | y | @ | inf | ((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* y z) -4) z) (* x x)) (* (* y z) -4) (* y z) (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (* (* t y) (+ (* (/ z t) z) -1)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (/ (neg y) (/ -1 (- (* z z) t))) (- (* x x) (* (* y 4) (- (* z z) t))) (* (/ (neg y) (/ -1 (- (* z z) t))) -4) (neg y) (+ (* (/ z t) z) -1) (/ -1 (- (* z z) t)) (- (* z z) t)) |
| 2.0ms | z | @ | 0 | ((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* y z) -4) z) (* x x)) (* (* y z) -4) (* y z) (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (* (* t y) (+ (* (/ z t) z) -1)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (/ (neg y) (/ -1 (- (* z z) t))) (- (* x x) (* (* y 4) (- (* z z) t))) (* (/ (neg y) (/ -1 (- (* z z) t))) -4) (neg y) (+ (* (/ z t) z) -1) (/ -1 (- (* z z) t)) (- (* z z) t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 222 | 890 |
| 1 | 677 | 876 |
| 2 | 2078 | 832 |
| 3 | 7019 | 823 |
| 0 | 8017 | 781 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 (* y (- (pow z 2) t))) |
(- (pow x 2) (* 4 (* y (- (pow z 2) t)))) |
(* -4 (* y (pow z 2))) |
(+ (* -4 (* y (pow z 2))) (pow x 2)) |
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2))))) |
(* -4 (* y z)) |
(* y z) |
(* y (pow z 2)) |
(* t (* y (- (/ (pow z 2) t) 1))) |
(* y (- (pow z 2) t)) |
(* -1 y) |
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t)))) |
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y))) |
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y))) |
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t))))) |
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))) |
(* -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)) (pow x 2)) |
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2))) |
(pow z 2) |
(* -1 (* t y)) |
(+ (* -1 (* t y)) (* y (pow z 2))) |
(* 4 (* t y)) |
(+ (* -4 (* y (pow z 2))) (* 4 (* t y))) |
-1 |
(- (/ (pow z 2) t) 1) |
(/ 1 t) |
(+ (/ 1 t) (/ (pow z 2) (pow t 2))) |
(+ (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow z 2) (pow t 3)))) (/ 1 t)) |
(+ (* (pow z 2) (+ (* (pow z 2) (+ (/ 1 (pow t 3)) (/ (pow z 2) (pow t 4)))) (/ 1 (pow t 2)))) (/ 1 t)) |
(* -1 t) |
(- (pow z 2) t) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))) |
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2)))) |
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2))))) |
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2))))) |
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2))))) |
(/ (pow z 2) t) |
(* (pow z 2) (- (/ 1 t) (/ 1 (pow z 2)))) |
(/ -1 (pow z 2)) |
(/ (- (* -1 (/ t (pow z 2))) 1) (pow z 2)) |
(/ (- (* -1 (/ (pow t 2) (pow z 4))) (+ 1 (/ t (pow z 2)))) (pow z 2)) |
(/ (- (* -1 (/ (pow t 3) (pow z 6))) (+ 1 (+ (/ t (pow z 2)) (/ (pow t 2) (pow z 4))))) (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)) t) |
(- (* -1 (/ t (pow z 4))) (/ 1 (pow z 2))) |
(- (* t (- (* -1 (/ t (pow z 6))) (/ 1 (pow z 4)))) (/ 1 (pow z 2))) |
(- (* t (- (* t (- (* -1 (/ t (pow z 8))) (/ 1 (pow z 6)))) (/ 1 (pow z 4)))) (/ 1 (pow z 2))) |
(+ (* -1 t) (pow z 2)) |
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t)))) |
(* t (+ (* -1 y) (/ (* y (pow z 2)) t))) |
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))) |
(/ (+ 1 (/ (pow z 2) t)) t) |
(/ (- (+ 1 (/ (pow z 4) (pow t 2))) (* -1 (/ (pow z 2) t))) t) |
(/ (- (+ 1 (/ (pow z 6) (pow t 3))) (+ (* -1 (/ (pow z 2) t)) (* -1 (/ (pow z 4) (pow t 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) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t))))) |
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t))))) |
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(* -1 (/ (- (* -1 (/ (pow z 2) t)) 1) t)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) t) (* -1 (pow z 2))) t)) 1) t)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 6) t)) (pow z 4)) t)) (* -1 (pow z 2))) t)) 1) t)) |
(* -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 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x)) |
(* -4 (* y (pow z 2))) |
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) |
(+ (* -4 (* y (pow z 2))) (pow x 2)) |
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.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)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) x) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) x) (/.f64 z x) #s(literal 1 binary64)) (*.f64 x x)) |
(* -4 (* y z)) |
(*.f64 (*.f64 z y) #s(literal -4 binary64)) |
(* y z) |
(*.f64 z y) |
(* y (pow z 2)) |
(*.f64 (*.f64 z z) y) |
(* t (* y (- (/ (pow z 2) t) 1))) |
(*.f64 (-.f64 (*.f64 z z) t) y) |
(* y (- (pow z 2) t)) |
(*.f64 (-.f64 (*.f64 z z) t) y) |
(* -1 y) |
(neg.f64 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) |
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y))) |
(*.f64 (fma.f64 (*.f64 z z) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) 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 (* 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 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))) |
(*.f64 (fma.f64 (*.f64 z z) #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 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x)) |
(+ (* 4 (* t y)) (pow x 2)) |
(fma.f64 (*.f64 t y) #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)) |
(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) |
(* 4 (* t y)) |
(*.f64 (*.f64 t y) #s(literal 4 binary64)) |
(+ (* -4 (* y (pow z 2))) (* 4 (* t y))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (/ (pow z 2) t) 1) |
(fma.f64 (/.f64 z t) z #s(literal -1 binary64)) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(+ (/ 1 t) (/ (pow z 2) (pow t 2))) |
(/.f64 (fma.f64 (/.f64 z t) z #s(literal 1 binary64)) t) |
(+ (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow z 2) (pow t 3)))) (/ 1 t)) |
(/.f64 (-.f64 (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 4 binary64)) t)) t) #s(literal -1 binary64)) t) |
(+ (* (pow z 2) (+ (* (pow z 2) (+ (/ 1 (pow t 3)) (/ (pow z 2) (pow t 4)))) (/ 1 (pow t 2)))) (/ 1 t)) |
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (/.f64 z (pow.f64 t #s(literal 4 binary64))) z (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 z t) z #s(literal 1 binary64)) t)) |
(* -1 t) |
(neg.f64 t) |
(- (pow z 2) t) |
(-.f64 (*.f64 z z) t) |
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y (*.f64 z z)) t (neg.f64 y)) (*.f64 (/.f64 (/.f64 x z) z) x)) (*.f64 z z)) |
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) x (*.f64 #s(literal -4 binary64) y)) (*.f64 z z)) |
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y (*.f64 z z)) t (neg.f64 y)) (*.f64 (/.f64 (/.f64 x z) z) x)) (*.f64 z z)) |
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2))))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 y) z) (/.f64 t z) y) (*.f64 z z)) |
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2))))) |
(*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y (*.f64 z z)) t (neg.f64 y))) (*.f64 z z)) |
(/ (pow z 2) t) |
(/.f64 (*.f64 z z) t) |
(* (pow z 2) (- (/ 1 t) (/ 1 (pow z 2)))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) (*.f64 z z))) z) z) |
(/ -1 (pow z 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 z z)) |
(/ (- (* -1 (/ t (pow z 2))) 1) (pow z 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 t (*.f64 z z))) z) z) |
(/ (- (* -1 (/ (pow t 2) (pow z 4))) (+ 1 (/ t (pow z 2)))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 t (pow.f64 z #s(literal 4 binary64))) t (/.f64 t (*.f64 z z)))) z) z) |
(/ (- (* -1 (/ (pow t 3) (pow z 6))) (+ 1 (+ (/ t (pow z 2)) (/ (pow t 2) (pow z 4))))) (pow z 2)) |
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 t (pow.f64 z #s(literal 4 binary64))) t (/.f64 t (*.f64 z z)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 z z)) |
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z z))) z) z) |
(- (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 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x)) |
(/ (+ (* -1 t) (pow z 2)) t) |
(fma.f64 (/.f64 z t) z #s(literal -1 binary64)) |
(- (* -1 (/ t (pow z 4))) (/ 1 (pow z 2))) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 t (*.f64 z z))) z) z) |
(- (* t (- (* -1 (/ t (pow z 6))) (/ 1 (pow z 4)))) (/ 1 (pow z 2))) |
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 t (pow.f64 z #s(literal 6 binary64)))) t (/.f64 #s(literal -1 binary64) (*.f64 z z))) |
(- (* t (- (* t (- (* -1 (/ t (pow z 8))) (/ 1 (pow z 6)))) (/ 1 (pow z 4)))) (/ 1 (pow z 2))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 t (pow.f64 z #s(literal 8 binary64)))) t (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))) t (/.f64 #s(literal -1 binary64) (*.f64 z z))) |
(+ (* -1 t) (pow z 2)) |
(-.f64 (*.f64 z z) t) |
(* 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 (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t)))) |
(fma.f64 (/.f64 (*.f64 x x) t) t (*.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 (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) |
(/ (+ 1 (/ (pow z 2) t)) t) |
(/.f64 (fma.f64 (/.f64 z t) z #s(literal 1 binary64)) t) |
(/ (- (+ 1 (/ (pow z 4) (pow t 2))) (* -1 (/ (pow z 2) t))) t) |
(/.f64 (-.f64 (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 4 binary64)) t)) t) #s(literal -1 binary64)) t) |
(/ (- (+ 1 (/ (pow z 6) (pow t 3))) (+ (* -1 (/ (pow z 2) t)) (* -1 (/ (pow z 4) (pow t 2))))) t) |
(/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 4 binary64)) t)) t))) t) |
(* 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) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t))))) |
(fma.f64 (/.f64 (*.f64 x x) t) 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 (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))) |
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) |
(* -1 (/ (- (* -1 (/ (pow z 2) t)) 1) t)) |
(/.f64 (fma.f64 (/.f64 z t) z #s(literal 1 binary64)) t) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 4) t) (* -1 (pow z 2))) t)) 1) t)) |
(/.f64 (-.f64 (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 4 binary64)) t)) t) #s(literal -1 binary64)) t) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 6) t)) (pow z 4)) t)) (* -1 (pow z 2))) t)) 1) t)) |
(/.f64 (-.f64 (/.f64 (fma.f64 z z (/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) t) (pow.f64 z #s(literal 4 binary64))) t)) t) #s(literal -1 binary64)) t) |
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t))))) |
(-.f64 (*.f64 z z) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 250 |
| 0 | 63 | 250 |
| 1 | 212 | 239 |
| 2 | 1465 | 239 |
| 0 | 8595 | 234 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.f64 x x)) |
(*.f64 (*.f64 y z) #s(literal -4 binary64)) |
(*.f64 y z) |
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x)) |
(*.f64 x x) |
#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) |
(*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 #s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64))) |
(*.f64 #s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64)) |
#s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))) #s(literal -4 binary64))) |
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))) #s(literal -4 binary64)) |
(neg.f64 y) |
(fma.f64 (/.f64 z t) z #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t)) |
(-.f64 (*.f64 z z) t) |
| Outputs |
|---|
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) z (*.f64 x x))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) y))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 (neg.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 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) y)))))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z z) 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)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) x) x))))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) y))))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) z (*.f64 x x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) z (*.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)) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 (neg.f64 x) x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 (neg.f64 x) x))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 (neg.f64 x) x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 (neg.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 (neg.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)) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 (neg.f64 x) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 (neg.f64 x) x))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 (neg.f64 x) x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) y))))) |
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(/.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 (fma.f64 #s(literal -1 binary64) (*.f64 z z) t) #s(literal -1 binary64)) |
(/.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)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z z (neg.f64 t)))) |
(/.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) (pow.f64 (fma.f64 z z (neg.f64 t)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 z z (neg.f64 t)) #s(literal 1 binary64)) |
(neg.f64 (fma.f64 #s(literal -1 binary64) (*.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 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 #s(literal -1 binary64) t (*.f64 z z)) |
(fma.f64 (*.f64 z z) #s(literal 1 binary64) (neg.f64 t)) |
(fma.f64 z z (neg.f64 t)) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 t #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 t t) (fma.f64 z z t)) #s(literal 1 binary64))) |
(-.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)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(-.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 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 z z) t)) |
(-.f64 (*.f64 z z) t) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 z z (neg.f64 t))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 z z (neg.f64 t))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 z z (neg.f64 t)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z z (neg.f64 t))) #s(literal 1 binary64))) |
(+.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 (neg.f64 t) (*.f64 z z)) |
(+.f64 (*.f64 z z) (neg.f64 t)) |
Compiled 20 208 to 2 443 computations (87.9% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 564 | 3 | 567 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 566 | 11 | 577 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 71.5% | (fma.f64 x x (*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64))) |
| ✓ | 74.1% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.f64 x x))) |
| ✓ | 67.0% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) |
| 37.7% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 (neg.f64 y) #s(approx (/ -1 (- (* z z) t)) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) #s(literal -4 binary64))) | |
| ✓ | 60.3% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
| ✓ | 37.7% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))) |
| 40.2% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) | |
| ✓ | 28.0% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
| 32.9% | #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 #s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)))) #s(literal -4 binary64))) | |
| 66.4% | #s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x))) | |
| ✓ | 43.9% | #s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x)) |
Compiled 816 to 321 computations (60.7% saved)
| Inputs |
|---|
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.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 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) 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))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t)))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.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))) |
(fma.f64 x x (*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64))) |
(fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 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 #s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)))) #s(literal -4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 #s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 (neg.f64 y) #s(approx (/ -1 (- (* z z) t)) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) #s(literal -4 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 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t))) #s(literal -4 binary64))) |
(fma.f64 x x (/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)))) |
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x))) |
(-.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64)))) |
(fma.f64 x x (/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) (*.f64 #s(literal -4 binary64) y)) (fma.f64 z z t))) |
(-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal 4 binary64)) y) (fma.f64 z z t))) |
| Outputs |
|---|
(fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 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))) |
(fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) |
10 calls:
| 50.0ms | z |
| 11.0ms | x |
| 10.0ms | (*.f64 z z) |
| 9.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
| 8.0ms | (*.f64 y #s(literal 4 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.9% | 1 | x |
| 99.2% | 3 | y |
| 97.2% | 2 | z |
| 95.7% | 2 | t |
| 93.9% | 1 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
| 93.9% | 1 | (*.f64 x x) |
| 93.9% | 1 | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
| 99.2% | 3 | (*.f64 y #s(literal 4 binary64)) |
| 97.2% | 2 | (-.f64 (*.f64 z z) t) |
| 97.2% | 2 | (*.f64 z z) |
Compiled 40 to 58 computations (-45% saved)
| Inputs |
|---|
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.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 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) 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))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t)))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.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))) |
(fma.f64 x x (*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64))) |
(fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 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 #s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)))) #s(literal -4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 #s(approx (* (- (* z z) t) y) (*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))) #s(literal -4 binary64))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 (neg.f64 y) #s(approx (/ -1 (- (* z z) t)) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) #s(literal -4 binary64))) |
| Outputs |
|---|
(fma.f64 x x (*.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 y z) #s(literal -4 binary64)) z (*.f64 x x))) |
3 calls:
| 9.0ms | y |
| 6.0ms | (*.f64 y #s(literal 4 binary64)) |
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 2 | z |
| 93.9% | 1 | y |
| 93.9% | 1 | (*.f64 y #s(literal 4 binary64)) |
Compiled 5 to 14 computations (-180% saved)
| Inputs |
|---|
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.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 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) 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))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t)))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.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))) |
(fma.f64 x x (*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 z z)) y) #s(literal -4 binary64))) |
| Outputs |
|---|
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.f64 x x))) |
10 calls:
| 8.0ms | (-.f64 (*.f64 z z) t) |
| 7.0ms | (*.f64 y #s(literal 4 binary64)) |
| 4.0ms | t |
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.5% | 3 | y |
| 88.3% | 3 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
| 86.0% | 3 | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
| 81.5% | 3 | (*.f64 y #s(literal 4 binary64)) |
| 87.4% | 2 | x |
| 87.4% | 2 | (*.f64 x x) |
| 83.0% | 3 | t |
| 88.6% | 2 | (-.f64 (*.f64 z z) t) |
| 92.5% | 2 | (*.f64 z z) |
| 92.5% | 2 | z |
Compiled 40 to 58 computations (-45% saved)
| Inputs |
|---|
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.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 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) 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))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t)))) |
| Outputs |
|---|
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) |
6 calls:
| 39.0ms | (-.f64 (*.f64 z z) t) |
| 4.0ms | z |
| 4.0ms | x |
| 3.0ms | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
| 3.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.8% | 2 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
| 83.4% | 2 | x |
| 83.4% | 2 | (*.f64 x x) |
| 83.6% | 3 | (-.f64 (*.f64 z z) t) |
| 86.3% | 2 | (*.f64 z z) |
| 86.3% | 2 | z |
Compiled 26 to 35 computations (-34.6% saved)
| Inputs |
|---|
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.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) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x)) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) |
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x)) |
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))) |
10 calls:
| 58.0ms | z |
| 2.0ms | (*.f64 y #s(literal 4 binary64)) |
| 2.0ms | x |
| 2.0ms | t |
| 2.0ms | (-.f64 (*.f64 z z) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.5% | 3 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
| 54.5% | 3 | y |
| 54.5% | 3 | (*.f64 y #s(literal 4 binary64)) |
| 57.0% | 7 | t |
| 65.5% | 3 | (-.f64 (*.f64 z z) t) |
| 65.2% | 3 | x |
| 64.9% | 3 | (*.f64 x x) |
| 65.7% | 3 | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
| 68.4% | 4 | z |
| 65.1% | 2 | (*.f64 z z) |
Compiled 40 to 58 computations (-45% saved)
| Inputs |
|---|
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.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 (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x)) |
7 calls:
| 5.0ms | z |
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
| 2.0ms | (-.f64 (*.f64 z z) t) |
| 2.0ms | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.0% | 2 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
| 59.5% | 2 | (*.f64 x x) |
| 59.5% | 2 | x |
| 48.0% | 2 | (-.f64 (*.f64 z z) t) |
| 47.3% | 2 | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
| 43.9% | 1 | (*.f64 z z) |
| 47.2% | 3 | z |
Compiled 35 to 44 computations (-25.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x)) |
9 calls:
| 3.0ms | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
| 1.0ms | x |
| 1.0ms | t |
| 1.0ms | z |
| 1.0ms | (*.f64 y #s(literal 4 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.9% | 1 | z |
| 43.9% | 1 | (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) |
| 43.9% | 1 | (-.f64 (*.f64 z z) t) |
| 43.9% | 1 | t |
| 43.9% | 1 | y |
| 43.9% | 1 | (*.f64 y #s(literal 4 binary64)) |
| 43.9% | 1 | (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) |
| 43.9% | 1 | (*.f64 x x) |
| 43.9% | 1 | x |
Compiled 37 to 53 computations (-43.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1713609.0190725562 | 45982576731998750.0 |
| 0.0ms | -3.3642648367700696e+43 | -1.6938537350365943e+38 |
Compiled 16 to 18 computations (-12.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.737653462922813e+176 | 5.553479683038292e+179 |
| 8.0ms | 128× | 0 | valid |
Compiled 304 to 250 computations (17.8% saved)
ival-mult: 3.0ms (70.1% of total)ival-sub: 1.0ms (23.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 9.900758373047183e-11 | 3.4621879156341546e-9 |
| 7.0ms | 112× | 0 | valid |
Compiled 338 to 263 computations (22.2% saved)
ival-mult: 3.0ms (80.3% of total)ival-sub: 1.0ms (26.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9511522576109316e+51 | 1.9729010675885396e+51 |
Compiled 16 to 18 computations (-12.5% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 3.351637863989296e+31 | 8.307839298060405e+35 |
| 57.0ms | 1.6429371362754234e-162 | 9.525057208865223e-159 |
| 14.0ms | 2.2256192014899225e-206 | 1.0533299634039045e-200 |
| 68.0ms | 400× | 0 | valid |
Compiled 982 to 826 computations (15.9% saved)
ival-mult: 54.0ms (93% of total)ival-sub: 3.0ms (5.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.4934748304546077e-44 | 1.9588254880932577e-44 |
| 3.0ms | 48× | 0 | valid |
Compiled 130 to 114 computations (12.3% saved)
ival-mult: 1.0ms (60.5% of total)ival-sub: 0.0ms (0% 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: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 329 |
| 1 | 101 | 321 |
| 2 | 173 | 321 |
| 3 | 453 | 321 |
| 4 | 1035 | 321 |
| 5 | 1895 | 321 |
| 6 | 5054 | 321 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (*.f64 y #s(literal 4 binary64)) #s(literal -20000000000000000278744233918828198261424128 binary64)) (fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) (if (<=.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 2000000 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))) (fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))))) |
(if (<=.f64 z #s(literal 175000000000000001303571587863005981002349114252051927662937444729711974181867828046150978365433735221481480455487313099651950920741710307040849617195341796491894307038076862464 binary64)) (fma.f64 x x (*.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 y z) #s(literal -4 binary64)) z (*.f64 x x)))) |
(if (<=.f64 z #s(literal 2780529385113647/2417851639229258349412352 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.f64 x x)))) |
(if (<=.f64 z #s(literal 1960000000000000066466739148843743208093372163031040 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))) |
(if (<=.f64 z #s(literal 2118010469031163/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824 binary64)) #s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x)) (if (<=.f64 z #s(literal 8231155761024919/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) (if (<=.f64 z #s(literal 85000000000000002867884413843144704 binary64)) #s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))))) |
(if (<=.f64 x #s(literal 3916911482881289/200867255532373784442745261542645325315275374222849104412672 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) #s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x))) |
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x)) |
| Outputs |
|---|
(if (<=.f64 (*.f64 y #s(literal 4 binary64)) #s(literal -20000000000000000278744233918828198261424128 binary64)) (fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))) (if (<=.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 2000000 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))) (fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))))) |
(if (or (<=.f64 (*.f64 y #s(literal 4 binary64)) #s(literal -20000000000000000278744233918828198261424128 binary64)) (not (<=.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 2000000 binary64)))) (fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 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)))) |
(if (<=.f64 z #s(literal 175000000000000001303571587863005981002349114252051927662937444729711974181867828046150978365433735221481480455487313099651950920741710307040849617195341796491894307038076862464 binary64)) (fma.f64 x x (*.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 y z) #s(literal -4 binary64)) z (*.f64 x x)))) |
(if (<=.f64 z #s(literal 2780529385113647/2417851639229258349412352 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) #s(literal -4 binary64)) z (*.f64 x x)))) |
(if (<=.f64 z #s(literal 1960000000000000066466739148843743208093372163031040 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))) |
(if (<=.f64 z #s(literal 2118010469031163/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824 binary64)) #s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x)) (if (<=.f64 z #s(literal 8231155761024919/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) (if (<=.f64 z #s(literal 85000000000000002867884413843144704 binary64)) #s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))))) |
(if (<=.f64 x #s(literal 3916911482881289/200867255532373784442745261542645325315275374222849104412672 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) #s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x))) |
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 217 | 883 |
| 1 | 659 | 861 |
| 2 | 2024 | 828 |
| 3 | 6407 | 816 |
| 0 | 8093 | 769 |
| 0 | 42 | 250 |
| 0 | 63 | 250 |
| 1 | 212 | 239 |
| 2 | 1465 | 239 |
| 0 | 8595 | 234 |
| 0 | 33 | 167 |
| 0 | 53 | 162 |
| 1 | 178 | 160 |
| 2 | 1374 | 160 |
| 0 | 9076 | 159 |
| 0 | 81 | 296 |
| 1 | 248 | 292 |
| 2 | 830 | 292 |
| 3 | 3721 | 284 |
| 4 | 7665 | 284 |
| 0 | 8054 | 271 |
| 0 | 152 | 592 |
| 1 | 509 | 592 |
| 2 | 1665 | 590 |
| 3 | 4749 | 584 |
| 0 | 8468 | 553 |
| 0 | 11 | 33 |
| 0 | 17 | 33 |
| 1 | 56 | 33 |
| 2 | 422 | 33 |
| 3 | 5373 | 33 |
| 0 | 8540 | 32 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 748 to 394 computations (47.3% saved)
(abs x)
(abs z)
Compiled 874 to 300 computations (65.7% saved)
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