
Time bar (total: 4.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 397.0ms | 8 256× | 0 | valid |
ival-mult: 70.0ms (39% of total)ival-sub: 62.0ms (34.6% of total)ival-add: 39.0ms (21.7% of total)ival-true: 6.0ms (3.3% of total)ival-assert: 3.0ms (1.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 y (-.f64 z x))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y (-.f64 z x)) |
| 0 | 0 | - | 0 | - | (-.f64 z x) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 23.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-sub: 3.0ms (32.2% of total)ival-mult: 3.0ms (32.2% of total)ival-add: 2.0ms (21.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 72 |
| 1 | 62 | 71 |
| 2 | 118 | 70 |
| 3 | 184 | 70 |
| 4 | 250 | 70 |
| 5 | 256 | 70 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 14 | 7 |
| 2 | 22 | 7 |
| 3 | 33 | 7 |
| 4 | 42 | 7 |
| 0 | 42 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (*.f64 y (-.f64 z x))) |
| Outputs |
|---|
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 (-.f64 z x) y x) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 x (*.f64 y (-.f64 z x))) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 z x) | |
| cost-diff | 0 | (*.f64 y (-.f64 z x)) | |
| cost-diff | 1 | (+.f64 x (*.f64 y (-.f64 z x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 14 | 18 |
| 2 | 22 | 18 |
| 3 | 33 | 18 |
| 4 | 42 | 18 |
| 0 | 42 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 y (-.f64 z x))) |
x |
(*.f64 y (-.f64 z x)) |
y |
(-.f64 z x) |
z |
| Outputs |
|---|
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 (-.f64 z x) y x) |
x |
(*.f64 y (-.f64 z x)) |
(*.f64 (-.f64 z x) y) |
y |
(-.f64 z x) |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 z x) | |
| accuracy | 0.00390625 | (*.f64 y (-.f64 z x)) | |
| accuracy | 0.0078125 | (+.f64 x (*.f64 y (-.f64 z x))) |
| 11.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-mult: 2.0ms (44.7% of total)ival-sub: 1.0ms (22.3% of total)ival-add: 1.0ms (22.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (*.f64 y (-.f64 z x))) |
(*.f64 y (-.f64 z x)) |
(-.f64 z x) |
| Outputs |
|---|
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(+ (* -1 (* x y)) (* y z)) |
z |
(+ z (* -1 x)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
x |
(+ x (* y (- z x))) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(+ x (* -1 (* x y))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(- z x) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (- (/ x z) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((+ x (* y (- z x))) (* y (- z x)) (- z x)) |
| 1.0ms | z | @ | -inf | ((+ x (* y (- z x))) (* y (- z x)) (- z x)) |
| 1.0ms | y | @ | inf | ((+ x (* y (- z x))) (* y (- z x)) (- z x)) |
| 1.0ms | x | @ | inf | ((+ x (* y (- z x))) (* y (- z x)) (- z x)) |
| 0.0ms | y | @ | -inf | ((+ x (* y (- z x))) (* y (- z x)) (- z x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 191 |
| 1 | 266 | 137 |
| 2 | 894 | 137 |
| 3 | 2847 | 137 |
| 4 | 5287 | 137 |
| 5 | 7163 | 137 |
| 0 | 8030 | 128 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(+ (* -1 (* x y)) (* y z)) |
z |
(+ z (* -1 x)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
x |
(+ x (* y (- z x))) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(+ x (* -1 (* x y))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(- z x) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (- (/ x z) 1))) |
| Outputs |
|---|
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
z |
(+ z (* -1 x)) |
(-.f64 z x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(*.f64 (-.f64 z x) y) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ z x) 1)) |
(-.f64 z x) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(-.f64 z x) |
x |
(+ x (* y (- z x))) |
(fma.f64 (-.f64 z x) y x) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- (+ z (/ x y)) x)) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(- z x) |
(-.f64 z x) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(fma.f64 (-.f64 z x) y x) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
(* z (+ 1 (* -1 (/ x z)))) |
(-.f64 z x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* z (- (/ x z) 1))) |
(-.f64 z x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 37 | 15 |
| 2 | 275 | 15 |
| 3 | 3239 | 15 |
| 0 | 8340 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 y (-.f64 z x))) |
(*.f64 y (-.f64 z x)) |
(-.f64 z x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 z x) y) (fma.f64 (-.f64 z x) y x) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (fma.f64 (-.f64 z x) y x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y)) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x)) (/.f64 (fma.f64 (-.f64 z x) y x) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x)))) |
(*.f64 (fma.f64 (-.f64 z x) y x) (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (-.f64 x (*.f64 (-.f64 z x) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (-.f64 z x) y)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 z x) y))) #s(literal 2 binary64))) (fma.f64 (-.f64 z x) y x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal 2 binary64))) (fma.f64 (-.f64 z x) y x)) |
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64)) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (-.f64 z x) y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 z x) y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (-.f64 z x) y)))) (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 z x) y))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (-.f64 z x) y) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 z x) y))) (*.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x)) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 4 binary64))) (*.f64 (fma.f64 x x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 z x) y)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (*.f64 (-.f64 z x) y)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 z x) y) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 z x) y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x)))) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 z x) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (-.f64 z x) y) x) (*.f64 (-.f64 z x) y) (*.f64 x x))) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(fma.f64 (fabs.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (+.f64 z x) (-.f64 z x))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 x (-.f64 x z) (*.f64 z z))) x) |
(fma.f64 (fabs.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (+.f64 z x) (-.f64 z x))) (*.f64 (+.f64 z x) (-.f64 z x)))) (fabs.f64 (-.f64 x z)) x) |
(fma.f64 (fabs.f64 (/.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x))) x) |
(fma.f64 (fabs.f64 (/.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (*.f64 (+.f64 z x) x) (-.f64 (*.f64 (+.f64 z x) x) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) x) |
(fma.f64 (fabs.f64 (/.f64 (*.f64 (*.f64 y (+.f64 z x)) (-.f64 z x)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 x (-.f64 x z) (*.f64 z z))) x) |
(fma.f64 (fabs.f64 (/.f64 (*.f64 (*.f64 y (+.f64 z x)) (-.f64 z x)) (*.f64 (+.f64 z x) (-.f64 z x)))) (fabs.f64 (-.f64 x z)) x) |
(fma.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64))))) (fabs.f64 (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x))) x) |
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(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(-.f64 z x) |
(+.f64 (*.f64 z (/.f64 z (+.f64 z x))) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 z x))) |
Compiled 6 156 to 785 computations (87.2% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 234 | 4 | 238 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 235 | 4 | 239 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 34.3% | (fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) x) |
| ▶ | 100.0% | (fma.f64 (-.f64 z x) y x) |
| ▶ | 62.1% | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
| ▶ | 41.5% | #s(approx (+ x (* y (- z x))) (*.f64 z y)) |
Compiled 49 to 35 computations (28.6% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (pow.f64 z #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | (fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) x) | |
| cost-diff | 0 | (-.f64 z x) | |
| cost-diff | 0 | (fma.f64 (-.f64 z x) y x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| cost-diff | 0 | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (+ x (* y (- z x))) (*.f64 z y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 112 |
| 0 | 39 | 110 |
| 1 | 66 | 110 |
| 2 | 129 | 110 |
| 3 | 298 | 110 |
| 4 | 832 | 110 |
| 5 | 2134 | 110 |
| 6 | 3336 | 110 |
| 7 | 3709 | 110 |
| 8 | 3792 | 110 |
| 9 | 3842 | 110 |
| 10 | 3912 | 110 |
| 11 | 3989 | 110 |
| 12 | 4033 | 110 |
| 13 | 4055 | 110 |
| 14 | 4085 | 110 |
| 15 | 4288 | 110 |
| 16 | 4293 | 110 |
| 17 | 4326 | 110 |
| 18 | 4361 | 110 |
| 19 | 4396 | 110 |
| 20 | 4396 | 110 |
| 21 | 4396 | 110 |
| 22 | 5610 | 110 |
| 23 | 6982 | 110 |
| 24 | 7006 | 110 |
| 25 | 7064 | 110 |
| 26 | 7624 | 110 |
| 0 | 8234 | 110 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(fma.f64 (-.f64 z x) y x) |
(-.f64 z x) |
z |
x |
y |
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) x) |
(-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
(/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) |
y |
(fma.f64 (+.f64 z x) x (*.f64 z z)) |
(+.f64 z x) |
(*.f64 z z) |
| Outputs |
|---|
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(fma.f64 (-.f64 z x) y x) |
(-.f64 z x) |
z |
x |
y |
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) x) |
(fma.f64 (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) |
(-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
(/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) |
y |
(fma.f64 (+.f64 z x) x (*.f64 z z)) |
(+.f64 z x) |
(*.f64 z z) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01953125 | (fma.f64 (+.f64 z x) x (*.f64 z z)) | |
| accuracy | 3.542954300811441 | (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 6.465017310908453 | (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) | |
| accuracy | 33.96568086358824 | (fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) x) | |
| accuracy | 0.0 | (-.f64 z x) | |
| accuracy | 0.00390625 | (fma.f64 (-.f64 z x) y x) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| accuracy | 24.249589281204223 | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 37.452541276767846 | #s(approx (+ x (* y (- z x))) (*.f64 z y)) |
| 71.0ms | 256× | 0 | valid |
Compiled 109 to 25 computations (77.1% saved)
ival-mult: 11.0ms (36.3% of total)ival-pow: 8.0ms (26.4% of total)ival-add: 6.0ms (19.8% of total)ival-sub: 4.0ms (13.2% of total)ival-div: 2.0ms (6.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
(fma.f64 (-.f64 z x) y x) |
(-.f64 z x) |
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) x) |
(-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 z #s(literal 3 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) |
(fma.f64 (+.f64 z x) x (*.f64 z z)) |
| Outputs |
|---|
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(* x (- 1 y)) |
z |
(+ z (* -1 x)) |
(+ (* x (- 1 y)) (* y z)) |
(+ (* x (- (+ 1 (* -1 (* x (+ (* -1 (/ y z)) (/ y z))))) y)) (* y z)) |
(+ (* x (- (+ 1 (* x (- (/ (* x (+ (* -1 (/ y z)) (/ y z))) z) (+ (* -1 (/ y z)) (/ y z))))) y)) (* y z)) |
(pow z 3) |
(+ (* -1 (pow x 3)) (pow z 3)) |
(pow x 3) |
(/ y (pow z 2)) |
(+ (* -1 (/ (* x y) (pow z 3))) (/ y (pow z 2))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ y (pow z 4))) (/ y (pow z 4))))) (/ y (pow z 3)))) (/ y (pow z 2))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ y (pow z 5))) (* -1 (/ (+ (* -1 (/ y (pow z 4))) (/ y (pow z 4))) z))))) (+ (* -1 (/ y (pow z 4))) (/ y (pow z 4))))) (/ y (pow z 3)))) (/ y (pow z 2))) |
(pow z 2) |
(+ (* x z) (pow z 2)) |
(+ (* x (+ x z)) (pow z 2)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* x (- (+ 1 (+ (* -1 y) (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (pow x 2))))) (* -1 (/ (* y z) x)))) |
(* x (- (+ 1 (+ (* -1 y) (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ (* y (pow z 2)) (pow x 2)))))) |
(* -1 (pow x 3)) |
(* (pow x 3) (- (/ (pow z 3) (pow x 3)) 1)) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y z) x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (pow x 2)))) (/ (* y z) x)) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow z 3))) (* -1 (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))))) (pow x 3)))) (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (+ (/ (* y z) x) (/ (* y (pow z 2)) (pow x 2))))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ z x))) |
(* (pow x 2) (+ 1 (+ (/ z x) (/ (pow z 2) (pow x 2))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (- (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* y (pow z 2)) x)) (* -1 (* y z))) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (- (* -1 (/ (- (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x) (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x)) (* -1 (* y z))) x))) 1))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow z 3) (pow x 3)))))) |
(/ (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* y (pow z 2)) x)) (* -1 (* y z))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (pow z 3)) x) (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x)) (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x)) (* -1 (* y z))) x))) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 z) (* -1 (/ (pow z 2) x))) x)))) |
x |
(+ x (* y (- z x))) |
(+ x (* -1 (* x y))) |
1 |
(+ 1 (* -1 y)) |
(+ x (* y (- (/ (pow z 3) (+ (* x (+ x z)) (pow z 2))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2)))))) |
(/ y (+ (* x (+ x z)) (pow z 2))) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ x y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ (pow z 3) (+ (* x (+ x z)) (pow z 2))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2))))) |
(* y (- (+ (/ x y) (/ (pow z 3) (+ (* x (+ x z)) (pow z 2)))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2))))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(/ (* y (- (pow z 3) (pow x 3))) (+ (* x (+ x z)) (pow z 2))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- (pow z 3) (pow x 3)) (+ (* x (+ x z)) (pow z 2))))))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(- z x) |
(+ x (+ (* -1 (* x y)) (* z (- (* -1 (* z (+ (* -1 (/ y x)) (/ y x)))) (* -1 y))))) |
(+ x (+ (* -1 (* x y)) (* z (- (* z (- (/ (* z (+ (* -1 (/ y x)) (/ y x))) x) (+ (* -1 (/ y x)) (/ y x)))) (* -1 y))))) |
(- (pow z 3) (pow x 3)) |
(+ (* -1 (/ (* y z) (pow x 3))) (/ y (pow x 2))) |
(+ (* z (- (* -1 (* z (+ (* -1 (/ y (pow x 4))) (/ y (pow x 4))))) (/ y (pow x 3)))) (/ y (pow x 2))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ y (pow x 5))) (* -1 (/ (+ (* -1 (/ y (pow x 4))) (/ y (pow x 4))) x))))) (+ (* -1 (/ y (pow x 4))) (/ y (pow x 4))))) (/ y (pow x 3)))) (/ y (pow x 2))) |
(+ (* x z) (pow x 2)) |
(+ (* z (+ x z)) (pow x 2)) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* z (- (+ y (/ x z)) (/ (* x y) z))) |
(* z (- (+ y (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) (pow z 2))) (/ x z))) (/ (* x y) z))) |
(* z (- (+ y (+ (/ x z) (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2)))))) |
(* (pow z 3) (+ 1 (* -1 (/ (pow x 3) (pow z 3))))) |
(/ (+ y (* -1 (/ (* x y) z))) (pow z 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) (pow z 2)))) (/ (* x y) z)) (pow z 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)))) (* -1 (* (pow x 3) y))) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2))))) (pow z 2)) |
(* (pow z 2) (+ 1 (/ x z))) |
(* (pow z 2) (+ 1 (+ (/ x z) (/ (pow x 2) (pow z 2))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) z)))) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) y)) (+ (* -1 (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) z)) (* (pow x 2) y))) z)))) z))))) |
(* -1 (* (pow z 3) (- (/ (pow x 3) (pow z 3)) 1))) |
(/ (+ y (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) y) z)) (/ (* (pow x 2) y) z)) (* -1 (* x y))) z))) (pow z 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) z) (/ (* (pow x 3) y) z)) (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) z)) (* -1 (* x y))) z))) (pow z 2)) |
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) z))) z)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* (- z x) y) x) (- z x) (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (- (pow z 3) (pow x 3)) (pow z 3) (pow x 3) (/ y (+ (* (+ z x) x) (* z z))) (+ (* (+ z x) x) (* z z))) |
| 5.0ms | z | @ | -inf | ((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* (- z x) y) x) (- z x) (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (- (pow z 3) (pow x 3)) (pow z 3) (pow x 3) (/ y (+ (* (+ z x) x) (* z z))) (+ (* (+ z x) x) (* z z))) |
| 3.0ms | x | @ | -inf | ((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* (- z x) y) x) (- z x) (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (- (pow z 3) (pow x 3)) (pow z 3) (pow x 3) (/ y (+ (* (+ z x) x) (* z z))) (+ (* (+ z x) x) (* z z))) |
| 3.0ms | y | @ | -inf | ((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* (- z x) y) x) (- z x) (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (- (pow z 3) (pow x 3)) (pow z 3) (pow x 3) (/ y (+ (* (+ z x) x) (* z z))) (+ (* (+ z x) x) (* z z))) |
| 3.0ms | y | @ | inf | ((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* (- z x) y) x) (- z x) (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (- (pow z 3) (pow x 3)) (pow z 3) (pow x 3) (/ y (+ (* (+ z x) x) (* z z))) (+ (* (+ z x) x) (* z z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 384 | 1371 |
| 1 | 1321 | 1010 |
| 2 | 5570 | 987 |
| 0 | 8228 | 928 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(* x (- 1 y)) |
z |
(+ z (* -1 x)) |
(+ (* x (- 1 y)) (* y z)) |
(+ (* x (- (+ 1 (* -1 (* x (+ (* -1 (/ y z)) (/ y z))))) y)) (* y z)) |
(+ (* x (- (+ 1 (* x (- (/ (* x (+ (* -1 (/ y z)) (/ y z))) z) (+ (* -1 (/ y z)) (/ y z))))) y)) (* y z)) |
(pow z 3) |
(+ (* -1 (pow x 3)) (pow z 3)) |
(pow x 3) |
(/ y (pow z 2)) |
(+ (* -1 (/ (* x y) (pow z 3))) (/ y (pow z 2))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ y (pow z 4))) (/ y (pow z 4))))) (/ y (pow z 3)))) (/ y (pow z 2))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ y (pow z 5))) (* -1 (/ (+ (* -1 (/ y (pow z 4))) (/ y (pow z 4))) z))))) (+ (* -1 (/ y (pow z 4))) (/ y (pow z 4))))) (/ y (pow z 3)))) (/ y (pow z 2))) |
(pow z 2) |
(+ (* x z) (pow z 2)) |
(+ (* x (+ x z)) (pow z 2)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* x (- (+ 1 (+ (* -1 y) (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (pow x 2))))) (* -1 (/ (* y z) x)))) |
(* x (- (+ 1 (+ (* -1 y) (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ (* y (pow z 2)) (pow x 2)))))) |
(* -1 (pow x 3)) |
(* (pow x 3) (- (/ (pow z 3) (pow x 3)) 1)) |
(/ y (pow x 2)) |
(/ (+ y (* -1 (/ (* y z) x))) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (pow x 2)))) (/ (* y z) x)) (pow x 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow z 3))) (* -1 (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))))) (pow x 3)))) (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (+ (/ (* y z) x) (/ (* y (pow z 2)) (pow x 2))))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ z x))) |
(* (pow x 2) (+ 1 (+ (/ z x) (/ (pow z 2) (pow x 2))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (- (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* y (pow z 2)) x)) (* -1 (* y z))) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (- (* -1 (/ (- (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x) (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x)) (* -1 (* y z))) x))) 1))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow z 3) (pow x 3)))))) |
(/ (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* y (pow z 2)) x)) (* -1 (* y z))) x))) (pow x 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (pow z 3)) x) (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x)) (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x)) (* -1 (* y z))) x))) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 z) (* -1 (/ (pow z 2) x))) x)))) |
x |
(+ x (* y (- z x))) |
(+ x (* -1 (* x y))) |
1 |
(+ 1 (* -1 y)) |
(+ x (* y (- (/ (pow z 3) (+ (* x (+ x z)) (pow z 2))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2)))))) |
(/ y (+ (* x (+ x z)) (pow z 2))) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ x y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ (pow z 3) (+ (* x (+ x z)) (pow z 2))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2))))) |
(* y (- (+ (/ x y) (/ (pow z 3) (+ (* x (+ x z)) (pow z 2)))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2))))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(/ (* y (- (pow z 3) (pow x 3))) (+ (* x (+ x z)) (pow z 2))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- (pow z 3) (pow x 3)) (+ (* x (+ x z)) (pow z 2))))))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(- z x) |
(+ x (+ (* -1 (* x y)) (* z (- (* -1 (* z (+ (* -1 (/ y x)) (/ y x)))) (* -1 y))))) |
(+ x (+ (* -1 (* x y)) (* z (- (* z (- (/ (* z (+ (* -1 (/ y x)) (/ y x))) x) (+ (* -1 (/ y x)) (/ y x)))) (* -1 y))))) |
(- (pow z 3) (pow x 3)) |
(+ (* -1 (/ (* y z) (pow x 3))) (/ y (pow x 2))) |
(+ (* z (- (* -1 (* z (+ (* -1 (/ y (pow x 4))) (/ y (pow x 4))))) (/ y (pow x 3)))) (/ y (pow x 2))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ y (pow x 5))) (* -1 (/ (+ (* -1 (/ y (pow x 4))) (/ y (pow x 4))) x))))) (+ (* -1 (/ y (pow x 4))) (/ y (pow x 4))))) (/ y (pow x 3)))) (/ y (pow x 2))) |
(+ (* x z) (pow x 2)) |
(+ (* z (+ x z)) (pow x 2)) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* z (- (+ y (/ x z)) (/ (* x y) z))) |
(* z (- (+ y (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) (pow z 2))) (/ x z))) (/ (* x y) z))) |
(* z (- (+ y (+ (/ x z) (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2)))))) |
(* (pow z 3) (+ 1 (* -1 (/ (pow x 3) (pow z 3))))) |
(/ (+ y (* -1 (/ (* x y) z))) (pow z 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) (pow z 2)))) (/ (* x y) z)) (pow z 2)) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)))) (* -1 (* (pow x 3) y))) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2))))) (pow z 2)) |
(* (pow z 2) (+ 1 (/ x z))) |
(* (pow z 2) (+ 1 (+ (/ x z) (/ (pow x 2) (pow z 2))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) z)))) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) y)) (+ (* -1 (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) z)) (* (pow x 2) y))) z)))) z))))) |
(* -1 (* (pow z 3) (- (/ (pow x 3) (pow z 3)) 1))) |
(/ (+ y (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) y) z)) (/ (* (pow x 2) y) z)) (* -1 (* x y))) z))) (pow z 2)) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) z) (/ (* (pow x 3) y) z)) (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) z)) (* -1 (* x y))) z))) (pow z 2)) |
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) z))) z)))) |
| Outputs |
|---|
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
z |
(+ z (* -1 x)) |
(-.f64 z x) |
(+ (* x (- 1 y)) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
(+ (* x (- (+ 1 (* -1 (* x (+ (* -1 (/ y z)) (/ y z))))) y)) (* y z)) |
(fma.f64 (fma.f64 #s(literal 0 binary64) x (-.f64 #s(literal 1 binary64) y)) x (*.f64 z y)) |
(+ (* x (- (+ 1 (* x (- (/ (* x (+ (* -1 (/ y z)) (/ y z))) z) (+ (* -1 (/ y z)) (/ y z))))) y)) (* y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 0 binary64)) x (-.f64 #s(literal 1 binary64) y)) x (*.f64 z y)) |
(pow z 3) |
(pow.f64 z #s(literal 3 binary64)) |
(+ (* -1 (pow x 3)) (pow z 3)) |
(-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(/ y (pow z 2)) |
(/.f64 (/.f64 y z) z) |
(+ (* -1 (/ (* x y) (pow z 3))) (/ y (pow z 2))) |
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 y) z) x y) z) z) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ y (pow z 4))) (/ y (pow z 4))))) (/ y (pow z 3)))) (/ y (pow z 2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (/.f64 y (pow.f64 z #s(literal 3 binary64)))) x (/.f64 (/.f64 y z) z)) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ y (pow z 5))) (* -1 (/ (+ (* -1 (/ y (pow z 4))) (/ y (pow z 4))) z))))) (+ (* -1 (/ y (pow z 4))) (/ y (pow z 4))))) (/ y (pow z 3)))) (/ y (pow z 2))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 x (+.f64 #s(literal 0 binary64) (/.f64 y (pow.f64 z #s(literal 5 binary64)))) #s(literal 0 binary64)) x) (/.f64 y (pow.f64 z #s(literal 3 binary64)))) x (/.f64 (/.f64 y z) z)) |
(pow z 2) |
(*.f64 z z) |
(+ (* x z) (pow z 2)) |
(*.f64 (+.f64 z x) z) |
(+ (* x (+ x z)) (pow z 2)) |
(fma.f64 (+.f64 z x) x (*.f64 z z)) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (-.f64 (/.f64 (*.f64 z y) x) y) x x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ z x) 1)) |
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* x (- (+ 1 (+ (* -1 y) (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (pow x 2))))) (* -1 (/ (* y z) x)))) |
(fma.f64 (-.f64 (/.f64 (*.f64 z y) x) y) x x) |
(* x (- (+ 1 (+ (* -1 y) (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ (* y (pow z 2)) (pow x 2)))))) |
(+.f64 x (*.f64 (fma.f64 #s(literal 0 binary64) z (fma.f64 #s(literal -1 binary64) y (/.f64 (fma.f64 z y #s(literal 0 binary64)) x))) x)) |
(* -1 (pow x 3)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(* (pow x 3) (- (/ (pow z 3) (pow x 3)) 1)) |
(*.f64 (-.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ (+ y (* -1 (/ (* y z) x))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 y) x) z y) x) x) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (pow x 2)))) (/ (* y z) x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 (fma.f64 z y #s(literal 0 binary64)) x)) x) x) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* y (pow z 3))) (* -1 (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))))) (pow x 3)))) (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (+ (/ (* y z) x) (/ (* y (pow z 2)) (pow x 2))))) (pow x 2)) |
(/.f64 (+.f64 (fma.f64 y (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) z)) (-.f64 y (/.f64 (fma.f64 z y #s(literal 0 binary64)) x))) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ z x))) |
(*.f64 (*.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (+ (/ z x) (/ (pow z 2) (pow x 2))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 z (/.f64 z x) z) x) #s(literal 1 binary64)) (*.f64 x x)) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(*.f64 (-.f64 y (fma.f64 (/.f64 y x) z #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(fma.f64 (/.f64 z x) x (neg.f64 x)) |
(* -1 (* x (- (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* y (pow z 2)) x)) (* -1 (* y z))) x))) 1))) |
(*.f64 (-.f64 (-.f64 y (/.f64 (fma.f64 z y #s(literal 0 binary64)) x)) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (+ y (* -1 (/ (- (* -1 (/ (- (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x) (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x)) (* -1 (* y z))) x))) 1))) |
(*.f64 (-.f64 (-.f64 y (fma.f64 (/.f64 y x) z (neg.f64 (fma.f64 #s(literal 0 binary64) z #s(literal 0 binary64))))) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (pow z 3) (pow x 3)))))) |
(-.f64 (pow.f64 (*.f64 (/.f64 z x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* y (pow z 2)) x)) (* -1 (* y z))) x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 y (/.f64 (fma.f64 z y #s(literal 0 binary64)) x)) x) x) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (pow z 3)) x) (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x)) (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x)) (* -1 (* y z))) x))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) z)) (/.f64 (fma.f64 z y #s(literal 0 binary64)) x)) y) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 z) (* -1 (/ (pow z 2) x))) x)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 z (/.f64 z x) z) x) #s(literal 1 binary64)) (*.f64 x x)) |
x |
(+ x (* y (- z x))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ x (* y (- (/ (pow z 3) (+ (* x (+ x z)) (pow z 2))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2)))))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))) y x) |
(/ y (+ (* x (+ x z)) (pow z 2))) |
(/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- (+ z (/ x y)) x)) |
(*.f64 (-.f64 (+.f64 (/.f64 x y) z) x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 (/.f64 x y) x) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
(* y (- (/ (pow z 3) (+ (* x (+ x z)) (pow z 2))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2))))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(* y (- (+ (/ x y) (/ (pow z 3) (+ (* x (+ x z)) (pow z 2)))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 x y)) y) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(*.f64 (-.f64 (+.f64 (/.f64 x y) z) x) y) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) x) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
(/ (* y (- (pow z 3) (pow x 3))) (+ (* x (+ x z)) (pow z 2))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- (pow z 3) (pow x 3)) (+ (* x (+ x z)) (pow z 2))))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 x y)) y) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(- z x) |
(-.f64 z x) |
(+ x (+ (* -1 (* x y)) (* z (- (* -1 (* z (+ (* -1 (/ y x)) (/ y x)))) (* -1 y))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z y) z (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(+ x (+ (* -1 (* x y)) (* z (- (* z (- (/ (* z (+ (* -1 (/ y x)) (/ y x))) x) (+ (* -1 (/ y x)) (/ y x)))) (* -1 y))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) z #s(literal 0 binary64)) z y) z (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(- (pow z 3) (pow x 3)) |
(-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(+ (* -1 (/ (* y z) (pow x 3))) (/ y (pow x 2))) |
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 y) x) z y) x) x) |
(+ (* z (- (* -1 (* z (+ (* -1 (/ y (pow x 4))) (/ y (pow x 4))))) (/ y (pow x 3)))) (/ y (pow x 2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z (/.f64 y (*.f64 x x))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ y (pow x 5))) (* -1 (/ (+ (* -1 (/ y (pow x 4))) (/ y (pow x 4))) x))))) (+ (* -1 (/ y (pow x 4))) (/ y (pow x 4))))) (/ y (pow x 3)))) (/ y (pow x 2))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 z (+.f64 #s(literal 0 binary64) (/.f64 y (pow.f64 x #s(literal 5 binary64)))) #s(literal 0 binary64)) z) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z (/.f64 y (*.f64 x x))) |
(+ (* x z) (pow x 2)) |
(*.f64 (+.f64 z x) x) |
(+ (* z (+ x z)) (pow x 2)) |
(fma.f64 (+.f64 z x) x (*.f64 z z)) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) y) z) |
(* z (+ 1 (* -1 (/ x z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z) |
(* z (- (+ y (/ x z)) (/ (* x y) z))) |
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) y) z) |
(* z (- (+ y (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) (pow z 2))) (/ x z))) (/ (* x y) z))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x #s(literal 0 binary64)) z) y) z) |
(* z (- (+ y (+ (/ x z) (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2)))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 0 binary64) x (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x #s(literal 0 binary64)) z)) y) z) |
(* (pow z 3) (+ 1 (* -1 (/ (pow x 3) (pow z 3))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) |
(/ (+ y (* -1 (/ (* x y) z))) (pow z 2)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 y) z) x y) z) z) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) (pow z 2)))) (/ (* x y) z)) (pow z 2)) |
(/.f64 (/.f64 (-.f64 y (fma.f64 (/.f64 y z) x #s(literal 0 binary64))) z) z) |
(/ (- (+ y (* -1 (/ (+ (* -1 (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)))) (* -1 (* (pow x 3) y))) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2))))) (pow z 2)) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (pow.f64 z #s(literal 3 binary64))) (-.f64 y (fma.f64 (/.f64 y z) x #s(literal 0 binary64)))) (*.f64 z z)) |
(* (pow z 2) (+ 1 (/ x z))) |
(*.f64 (*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z) z) |
(* (pow z 2) (+ 1 (+ (/ x z) (/ (pow x 2) (pow z 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 x (/.f64 x z) x) z) #s(literal 1 binary64)) z) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) y) z) |
(* -1 (* z (- (/ x z) 1))) |
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) z)))) z))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x #s(literal 0 binary64)) z) y) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) y)) (+ (* -1 (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) z)) (* (pow x 2) y))) z)))) z))))) |
(*.f64 z (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x (fma.f64 #s(literal 0 binary64) x #s(literal 0 binary64))) z) y)) |
(* -1 (* (pow z 3) (- (/ (pow x 3) (pow z 3)) 1))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/ (+ y (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) y) z)) (/ (* (pow x 2) y) z)) (* -1 (* x y))) z))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 y (fma.f64 (/.f64 y z) x #s(literal 0 binary64))) z) z) |
(/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) z) (/ (* (pow x 3) y) z)) (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) z)) (* -1 (* x y))) z))) (pow z 2)) |
(/.f64 (-.f64 y (/.f64 (fma.f64 y x (/.f64 (fma.f64 #s(literal 0 binary64) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 y z) #s(literal 0 binary64))) (neg.f64 z))) z)) (*.f64 z z)) |
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) z))) z)))) |
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 x (/.f64 x z) x) z) #s(literal 1 binary64)) z) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 94 |
| 0 | 39 | 79 |
| 1 | 165 | 79 |
| 2 | 1255 | 79 |
| 0 | 8708 | 79 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
(fma.f64 (-.f64 z x) y x) |
(-.f64 z x) |
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) x) |
(-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 z #s(literal 3 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) |
(fma.f64 (+.f64 z x) x (*.f64 z z)) |
| Outputs |
|---|
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
(*.f64 z y) |
(*.f64 y z) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
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(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (fma.f64 (-.f64 (neg.f64 z) x) x (*.f64 z z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (fma.f64 (+.f64 z x) x (*.f64 (neg.f64 z) z))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)) (fma.f64 (+.f64 z x) x (*.f64 (neg.f64 z) z))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 (neg.f64 z) z)) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 (neg.f64 z) z)) (fma.f64 (+.f64 z x) x (*.f64 (neg.f64 z) z)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64))) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64))) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (-.f64 (neg.f64 z) x) x (*.f64 z z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 z x) x) z) z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (fma.f64 (-.f64 (neg.f64 z) x) x (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (+.f64 z x) x (*.f64 (neg.f64 z) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 z x) x) z) z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) |
(neg.f64 (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(fma.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 x (fma.f64 x (-.f64 x z) (*.f64 z z))) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 z))) |
(fma.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 x (fma.f64 x (-.f64 x z) (*.f64 z z))) (*.f64 z z)) |
(fma.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (fma.f64 (neg.f64 z) z (*.f64 x x)))) (/.f64 x (-.f64 z x)) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 z))) |
(fma.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (fma.f64 (neg.f64 z) z (*.f64 x x)))) (/.f64 x (-.f64 z x)) (*.f64 z z)) |
(fma.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 x (/.f64 (-.f64 z x) (fma.f64 (+.f64 z x) x (*.f64 z z)))) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 z))) |
(fma.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 x (/.f64 (-.f64 z x) (fma.f64 (+.f64 z x) x (*.f64 z z)))) (*.f64 z z)) |
(fma.f64 (/.f64 x (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 z))) |
(fma.f64 (/.f64 x (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (fma.f64 x (-.f64 x z) (*.f64 z z))) (*.f64 z z)) |
(fma.f64 (/.f64 x (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (fma.f64 (neg.f64 z) z (*.f64 x x)))) (+.f64 z x) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 z))) |
(fma.f64 (/.f64 x (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (fma.f64 (neg.f64 z) z (*.f64 x x)))) (+.f64 z x) (*.f64 z z)) |
(fma.f64 (/.f64 x (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 (-.f64 z x) (fma.f64 (+.f64 z x) x (*.f64 z z)))) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 z))) |
(fma.f64 (/.f64 x (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 (-.f64 z x) (fma.f64 (+.f64 z x) x (*.f64 z z)))) (*.f64 z z)) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 (neg.f64 x)) (+.f64 z x))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (*.f64 (-.f64 (neg.f64 z) x) x))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))) (*.f64 (+.f64 z x) x)) |
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 (neg.f64 (neg.f64 x)) (+.f64 z x))) |
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (neg.f64 (*.f64 (-.f64 (neg.f64 z) x) x))) |
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 (+.f64 z x) x)) |
(fma.f64 (neg.f64 (neg.f64 z)) z (*.f64 (neg.f64 (neg.f64 x)) (+.f64 z x))) |
(fma.f64 (neg.f64 (neg.f64 z)) z (neg.f64 (*.f64 (-.f64 (neg.f64 z) x) x))) |
(fma.f64 (neg.f64 (neg.f64 z)) z (*.f64 (+.f64 z x) x)) |
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (neg.f64 (neg.f64 x)) (+.f64 z x))) |
(fma.f64 (neg.f64 z) (neg.f64 z) (neg.f64 (*.f64 (-.f64 (neg.f64 z) x) x))) |
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 (+.f64 z x) x)) |
(fma.f64 (+.f64 z x) x (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 z))) |
(fma.f64 (+.f64 z x) x (*.f64 z z)) |
(fma.f64 z (neg.f64 (neg.f64 z)) (*.f64 (neg.f64 (neg.f64 x)) (+.f64 z x))) |
(fma.f64 z (neg.f64 (neg.f64 z)) (neg.f64 (*.f64 (-.f64 (neg.f64 z) x) x))) |
(fma.f64 z (neg.f64 (neg.f64 z)) (*.f64 (+.f64 z x) x)) |
(fma.f64 z z (*.f64 (neg.f64 (neg.f64 x)) (+.f64 z x))) |
(fma.f64 z z (neg.f64 (*.f64 (-.f64 (neg.f64 z) x) x))) |
(fma.f64 z z (*.f64 (+.f64 z x) x)) |
(fma.f64 x (+.f64 z x) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 z))) |
(fma.f64 x (+.f64 z x) (*.f64 z z)) |
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x))) (/.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)))) |
(-.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (neg.f64 x) z)) |
(-.f64 (fma.f64 z z (*.f64 x x)) (*.f64 (neg.f64 z) x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)) (fma.f64 (+.f64 z x) x (*.f64 (neg.f64 z) z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (-.f64 (neg.f64 z) x) x (*.f64 z z)))) |
(-.f64 (*.f64 (+.f64 z x) x) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) z)) |
(-.f64 (*.f64 (+.f64 z x) x) (*.f64 (neg.f64 z) z)) |
(-.f64 (*.f64 z z) (*.f64 (-.f64 (neg.f64 z) x) x)) |
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 z x) x) z) z)))) (/.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 z x) x) z) z))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 z x) x) z) z)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 z x) x) z) z))))) |
(+.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 z) x) x)) (*.f64 z z)) |
(+.f64 (fma.f64 z z (*.f64 x x)) (*.f64 z x)) |
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)) (fma.f64 (+.f64 z x) x (*.f64 (neg.f64 z) z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (-.f64 (neg.f64 z) x) x (*.f64 z z)))) |
(+.f64 (*.f64 (+.f64 z x) x) (*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 z))) |
(+.f64 (*.f64 (+.f64 z x) x) (*.f64 z z)) |
(+.f64 (*.f64 z z) (*.f64 (neg.f64 (neg.f64 x)) (+.f64 z x))) |
(+.f64 (*.f64 z z) (neg.f64 (*.f64 (-.f64 (neg.f64 z) x) x))) |
(+.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) |
Compiled 15 261 to 1 687 computations (88.9% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 446 | 4 | 450 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 0 | 0 |
| Total | 447 | 7 | 454 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (-.f64 z x) y x) |
| ▶ | 98.8% | #s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (fma.f64 (fma.f64 #s(literal 0 binary64) z y) z (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
| ▶ | 61.5% | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) |
| ✓ | 62.1% | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
| ▶ | 25.0% | #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
| ▶ | 39.9% | #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
| ✓ | 41.5% | #s(approx (+ x (* y (- z x))) (*.f64 z y)) |
Compiled 107 to 77 computations (28% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 0 binary64) z y) z (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| cost-diff | 0 | #s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (fma.f64 (fma.f64 #s(literal 0 binary64) z y) z (*.f64 (-.f64 #s(literal 1 binary64) y) x))) | |
| cost-diff | 3 | (fma.f64 #s(literal 0 binary64) z y) | |
| cost-diff | 0 | (-.f64 z x) | |
| cost-diff | 0 | (*.f64 (-.f64 z x) y) | |
| cost-diff | 0 | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) | |
| cost-diff | 0 | #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) | |
| cost-diff | 0 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 148 |
| 0 | 46 | 143 |
| 1 | 80 | 139 |
| 2 | 166 | 139 |
| 3 | 399 | 139 |
| 4 | 1155 | 139 |
| 5 | 3198 | 139 |
| 6 | 5886 | 139 |
| 7 | 6487 | 139 |
| 8 | 6640 | 139 |
| 9 | 6695 | 139 |
| 10 | 6721 | 139 |
| 11 | 6759 | 139 |
| 12 | 7786 | 139 |
| 0 | 8010 | 134 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) |
(*.f64 (-.f64 z x) y) |
(-.f64 z x) |
z |
x |
y |
#s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (fma.f64 (fma.f64 #s(literal 0 binary64) z y) z (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z y) z (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 #s(literal 0 binary64) z y) |
#s(literal 0 binary64) |
z |
y |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
x |
| Outputs |
|---|
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) |
(*.f64 (-.f64 z x) y) |
(-.f64 z x) |
z |
x |
y |
#s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (fma.f64 (fma.f64 #s(literal 0 binary64) z y) z (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (fma.f64 z y (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z y) z (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 z y (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 #s(literal 0 binary64) z y) |
y |
#s(literal 0 binary64) |
z |
y |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
x |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0 | #s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (fma.f64 (fma.f64 #s(literal 0 binary64) z y) z (*.f64 (-.f64 #s(literal 1 binary64) y) x))) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| accuracy | 0.7538979928166806 | (fma.f64 (fma.f64 #s(literal 0 binary64) z y) z (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| accuracy | 0.0 | (-.f64 z x) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 z x) y) | |
| accuracy | 24.61119926432769 | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) | |
| accuracy | 24.249589281204223 | #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) | |
| accuracy | 33.50852202651027 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) | |
| accuracy | 24.249589281204223 | #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) | |
| accuracy | 29.60726947078117 | #s(approx (- 1 y) #s(literal 1 binary64)) |
| 66.0ms | 256× | 0 | valid |
Compiled 108 to 29 computations (73.1% saved)
ival-add: 26.0ms (49.3% of total)ival-mult: 11.0ms (20.9% of total)ival-pow: 8.0ms (15.2% of total)ival-sub: 4.0ms (7.6% of total)ival-div: 2.0ms (3.8% of total)ival-neg: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) |
(*.f64 (-.f64 z x) y) |
(-.f64 z x) |
(fma.f64 #s(literal 0 binary64) z y) |
#s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (fma.f64 (fma.f64 #s(literal 0 binary64) z y) z (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z y) z (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(* x (- 1 y)) |
(+ (* -1 (* x y)) (* y z)) |
z |
(+ z (* -1 x)) |
(+ (* x (- 1 y)) (* y z)) |
(+ (* x (- (+ 1 (* -1 (* x (+ (* -1 (/ y z)) (/ y z))))) y)) (* y z)) |
(+ (* x (- (+ 1 (* x (- (/ (* x (+ (* -1 (/ y z)) (/ y z))) z) (+ (* -1 (/ y z)) (/ y z))))) y)) (* y z)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* x (- (+ 1 (+ (* -1 y) (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (pow x 2))))) (* -1 (/ (* y z) x)))) |
(* x (- (+ 1 (+ (* -1 y) (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ (* y (pow z 2)) (pow x 2)))))) |
(* x (- (+ 1 (/ (* y z) x)) y)) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (- (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* y (pow z 2)) x)) (* -1 (* y z))) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (- (* -1 (/ (- (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x) (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x)) (* -1 (* y z))) x))) 1))) |
(* -1 (* x (+ (* -1 (- 1 y)) (* -1 (/ (* y z) x))))) |
x |
(+ x (* y (- z x))) |
(+ x (* -1 (* x y))) |
1 |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- z x)) |
y |
(+ x (* y (- (/ (pow z 3) (+ (* x (+ x z)) (pow z 2))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2)))))) |
(+ x (* y (+ z (* -1 x)))) |
(* y (- (+ z (/ x y)) x)) |
(* y (+ (* -1 x) (/ x y))) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ (pow z 3) (+ (* x (+ x z)) (pow z 2))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2))))) |
(* y (- (+ (/ x y) (/ (pow z 3) (+ (* x (+ x z)) (pow z 2)))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2))))) |
(* y (+ z (* -1 x))) |
(* y (+ z (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(/ (* y (- (pow z 3) (pow x 3))) (+ (* x (+ x z)) (pow z 2))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- (pow z 3) (pow x 3)) (+ (* x (+ x z)) (pow z 2))))))) |
(* -1 (* y (+ x (* -1 z)))) |
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y)))))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(- z x) |
(+ x (+ (* -1 (* x y)) (* z (- (* -1 (* z (+ (* -1 (/ y x)) (/ y x)))) (* -1 y))))) |
(+ x (+ (* -1 (* x y)) (* z (- (* z (- (/ (* z (+ (* -1 (/ y x)) (/ y x))) x) (+ (* -1 (/ y x)) (/ y x)))) (* -1 y))))) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* z (- (+ y (/ x z)) (/ (* x y) z))) |
(* z (- (+ y (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) (pow z 2))) (/ x z))) (/ (* x y) z))) |
(* z (- (+ y (+ (/ x z) (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2)))))) |
(* z (+ y (/ (* x (- 1 y)) z))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) z)))) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) y)) (+ (* -1 (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) z)) (* (pow x 2) y))) z)))) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x (- 1 y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | ((+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (neg y) (+ x (* y (- z x))) (* (- z x) y) (- z x) (+ (* 0 z) y) (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (+ (* (+ (* 0 z) y) z) (* (- 1 y) x)) (* (- 1 y) x) (- 1 y)) |
| 2.0ms | y | @ | inf | ((+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (neg y) (+ x (* y (- z x))) (* (- z x) y) (- z x) (+ (* 0 z) y) (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (+ (* (+ (* 0 z) y) z) (* (- 1 y) x)) (* (- 1 y) x) (- 1 y)) |
| 1.0ms | y | @ | 0 | ((+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (neg y) (+ x (* y (- z x))) (* (- z x) y) (- z x) (+ (* 0 z) y) (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (+ (* (+ (* 0 z) y) z) (* (- 1 y) x)) (* (- 1 y) x) (- 1 y)) |
| 1.0ms | x | @ | -inf | ((+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (neg y) (+ x (* y (- z x))) (* (- z x) y) (- z x) (+ (* 0 z) y) (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (+ (* (+ (* 0 z) y) z) (* (- 1 y) x)) (* (- 1 y) x) (- 1 y)) |
| 1.0ms | x | @ | inf | ((+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (neg y) (+ x (* y (- z x))) (* (- z x) y) (- z x) (+ (* 0 z) y) (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (+ (* (+ (* 0 z) y) z) (* (- 1 y) x)) (* (- 1 y) x) (- 1 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 255 | 583 |
| 1 | 917 | 554 |
| 2 | 3554 | 553 |
| 0 | 8719 | 521 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(* x (- 1 y)) |
(+ (* -1 (* x y)) (* y z)) |
z |
(+ z (* -1 x)) |
(+ (* x (- 1 y)) (* y z)) |
(+ (* x (- (+ 1 (* -1 (* x (+ (* -1 (/ y z)) (/ y z))))) y)) (* y z)) |
(+ (* x (- (+ 1 (* x (- (/ (* x (+ (* -1 (/ y z)) (/ y z))) z) (+ (* -1 (/ y z)) (/ y z))))) y)) (* y z)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* x (- (+ 1 (+ (* -1 y) (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (pow x 2))))) (* -1 (/ (* y z) x)))) |
(* x (- (+ 1 (+ (* -1 y) (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ (* y (pow z 2)) (pow x 2)))))) |
(* x (- (+ 1 (/ (* y z) x)) y)) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (- (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* y (pow z 2)) x)) (* -1 (* y z))) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (- (* -1 (/ (- (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x) (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x)) (* -1 (* y z))) x))) 1))) |
(* -1 (* x (+ (* -1 (- 1 y)) (* -1 (/ (* y z) x))))) |
x |
(+ x (* y (- z x))) |
(+ x (* -1 (* x y))) |
1 |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- z x)) |
y |
(+ x (* y (- (/ (pow z 3) (+ (* x (+ x z)) (pow z 2))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2)))))) |
(+ x (* y (+ z (* -1 x)))) |
(* y (- (+ z (/ x y)) x)) |
(* y (+ (* -1 x) (/ x y))) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ (pow z 3) (+ (* x (+ x z)) (pow z 2))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2))))) |
(* y (- (+ (/ x y) (/ (pow z 3) (+ (* x (+ x z)) (pow z 2)))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2))))) |
(* y (+ z (* -1 x))) |
(* y (+ z (+ (* -1 x) (/ x y)))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(/ (* y (- (pow z 3) (pow x 3))) (+ (* x (+ x z)) (pow z 2))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- (pow z 3) (pow x 3)) (+ (* x (+ x z)) (pow z 2))))))) |
(* -1 (* y (+ x (* -1 z)))) |
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y)))))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(- z x) |
(+ x (+ (* -1 (* x y)) (* z (- (* -1 (* z (+ (* -1 (/ y x)) (/ y x)))) (* -1 y))))) |
(+ x (+ (* -1 (* x y)) (* z (- (* z (- (/ (* z (+ (* -1 (/ y x)) (/ y x))) x) (+ (* -1 (/ y x)) (/ y x)))) (* -1 y))))) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* z (- (+ y (/ x z)) (/ (* x y) z))) |
(* z (- (+ y (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) (pow z 2))) (/ x z))) (/ (* x y) z))) |
(* z (- (+ y (+ (/ x z) (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2)))))) |
(* z (+ y (/ (* x (- 1 y)) z))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) z)))) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) y)) (+ (* -1 (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) z)) (* (pow x 2) y))) z)))) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x (- 1 y)) z))))) |
| Outputs |
|---|
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
z |
(+ z (* -1 x)) |
(-.f64 z x) |
(+ (* x (- 1 y)) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
(+ (* x (- (+ 1 (* -1 (* x (+ (* -1 (/ y z)) (/ y z))))) y)) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
(+ (* x (- (+ 1 (* x (- (/ (* x (+ (* -1 (/ y z)) (/ y z))) z) (+ (* -1 (/ y z)) (/ y z))))) y)) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(*.f64 (fma.f64 (/.f64 y x) z (-.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(*.f64 (*.f64 y (-.f64 (/.f64 z x) #s(literal 1 binary64))) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ z x) 1)) |
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* x (- (+ 1 (+ (* -1 y) (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (pow x 2))))) (* -1 (/ (* y z) x)))) |
(*.f64 (fma.f64 (/.f64 y x) z (-.f64 #s(literal 1 binary64) y)) x) |
(* x (- (+ 1 (+ (* -1 y) (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ (* y (pow z 2)) (pow x 2)))))) |
(*.f64 (fma.f64 (/.f64 y x) z (-.f64 #s(literal 1 binary64) y)) x) |
(* x (- (+ 1 (/ (* y z) x)) y)) |
(*.f64 (fma.f64 (/.f64 y x) z (-.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(*.f64 (-.f64 y (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(*.f64 (*.f64 y (-.f64 (/.f64 z x) #s(literal 1 binary64))) x) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(fma.f64 (/.f64 z x) x (neg.f64 x)) |
(* -1 (* x (- (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* y (pow z 2)) x)) (* -1 (* y z))) x))) 1))) |
(*.f64 (-.f64 y (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (* x (- (+ y (* -1 (/ (- (* -1 (/ (- (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x) (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x)) (* -1 (* y z))) x))) 1))) |
(*.f64 (-.f64 y (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (- 1 y)) (* -1 (/ (* y z) x))))) |
(*.f64 (fma.f64 (/.f64 y x) z (-.f64 #s(literal 1 binary64) y)) x) |
x |
(+ x (* y (- z x))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
y |
(+ x (* y (- (/ (pow z 3) (+ (* x (+ x z)) (pow z 2))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2)))))) |
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) x) |
(+ x (* y (+ z (* -1 x)))) |
(fma.f64 (-.f64 z x) y x) |
(* y (- (+ z (/ x y)) x)) |
(*.f64 (-.f64 (+.f64 (/.f64 x y) z) x) y) |
(* y (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 (/.f64 x y) x) y) |
(* y (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
(* y (- (/ (pow z 3) (+ (* x (+ x z)) (pow z 2))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2))))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(* y (- (+ (/ x y) (/ (pow z 3) (+ (* x (+ x z)) (pow z 2)))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 x y)) y) |
(* y (+ z (* -1 x))) |
(*.f64 (-.f64 z x) y) |
(* y (+ z (+ (* -1 x) (/ x y)))) |
(*.f64 (-.f64 (+.f64 (/.f64 x y) z) x) y) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(*.f64 (-.f64 (+.f64 (/.f64 x y) z) x) y) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) x) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
(/ (* y (- (pow z 3) (pow x 3))) (+ (* x (+ x z)) (pow z 2))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- (pow z 3) (pow x 3)) (+ (* x (+ x z)) (pow z 2))))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 x y)) y) |
(* -1 (* y (+ x (* -1 z)))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 x y) z) x) y) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(- z x) |
(-.f64 z x) |
(+ x (+ (* -1 (* x y)) (* z (- (* -1 (* z (+ (* -1 (/ y x)) (/ y x)))) (* -1 y))))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (+ (* -1 (* x y)) (* z (- (* z (- (/ (* z (+ (* -1 (/ y x)) (/ y x))) x) (+ (* -1 (/ y x)) (/ y x)))) (* -1 y))))) |
(fma.f64 (-.f64 z x) y x) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(*.f64 (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) z) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 y) z) x y) z) |
(* z (+ 1 (* -1 (/ x z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z) |
(* z (- (+ y (/ x z)) (/ (* x y) z))) |
(*.f64 (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) z) |
(* z (- (+ y (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) (pow z 2))) (/ x z))) (/ (* x y) z))) |
(*.f64 (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) z) |
(* z (- (+ y (+ (/ x z) (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2)))))) |
(*.f64 (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) z) |
(* z (+ y (/ (* x (- 1 y)) z))) |
(*.f64 (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(*.f64 (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) z) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 y) z) x y) z) |
(* -1 (* z (- (/ x z) 1))) |
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) (neg.f64 z)) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) z)))) z))))) |
(*.f64 (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) y)) (+ (* -1 (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) z)) (* (pow x 2) y))) z)))) z))))) |
(*.f64 (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x (- 1 y)) z))))) |
(*.f64 (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 136 |
| 0 | 46 | 133 |
| 1 | 194 | 113 |
| 2 | 1507 | 113 |
| 0 | 8321 | 109 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) |
(*.f64 (-.f64 z x) y) |
(-.f64 z x) |
(fma.f64 #s(literal 0 binary64) z y) |
#s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (fma.f64 (fma.f64 #s(literal 0 binary64) z y) z (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z y) z (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
#s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) |
(*.f64 x #s(approx (- 1 y) #s(literal 1 binary64))) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x) |
(*.f64 x #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y y))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 y y)) y) |
(neg.f64 y) |
(-.f64 (/.f64 #s(literal 0 binary64) y) y) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 (neg.f64 y) y) y)) |
#s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (*.f64 (-.f64 z x) y)) |
(*.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(*.f64 (/.f64 (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 z x))) |
(*.f64 (/.f64 y (*.f64 (/.f64 (+.f64 z x) (+.f64 z x)) (/.f64 (-.f64 z x) (-.f64 z x)))) (-.f64 z x)) |
(*.f64 (/.f64 y (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 x z) (*.f64 z z))) (/.f64 (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) (+.f64 z x))) |
(*.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (*.f64 (/.f64 (+.f64 z x) (+.f64 z x)) (/.f64 (-.f64 z x) (-.f64 z x)))) (/.f64 y (+.f64 z x))) |
(*.f64 (*.f64 (-.f64 z x) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 (neg.f64 z) z)))) (fma.f64 (+.f64 z x) x (*.f64 (neg.f64 z) z))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 z z) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) (fma.f64 (+.f64 z x) x (*.f64 z z))) (-.f64 z x)) |
(*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (*.f64 (-.f64 z x) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(*.f64 (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(*.f64 (-.f64 z x) y) |
(*.f64 y (-.f64 z x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))))) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y)) (neg.f64 (+.f64 z x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 y (*.f64 (+.f64 z x) (-.f64 z x)))) (neg.f64 (+.f64 z x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (*.f64 (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))))) (neg.f64 (*.f64 (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))))) (neg.f64 (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (neg.f64 y))) (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (neg.f64 y))) (neg.f64 (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))) (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) y)) (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) y)) (neg.f64 (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z)))) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64)))) |
(/.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y) (+.f64 z x)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(/.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(/.f64 (*.f64 y (*.f64 (+.f64 z x) (-.f64 z x))) (+.f64 z x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(/.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) (*.f64 (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (neg.f64 y)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (neg.f64 y)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))) (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) y) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 (+.f64 z x) x (*.f64 z z))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 z x)) |
(*.f64 (/.f64 (+.f64 (neg.f64 z) x) (*.f64 (/.f64 (+.f64 z x) (+.f64 z x)) (/.f64 (-.f64 z x) (-.f64 z x)))) (/.f64 (-.f64 (neg.f64 z) x) (+.f64 z x))) |
(*.f64 (/.f64 (+.f64 (neg.f64 z) x) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 (neg.f64 z) x) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(*.f64 (/.f64 (+.f64 z x) (*.f64 (/.f64 (+.f64 z x) (+.f64 z x)) (/.f64 (-.f64 z x) (-.f64 z x)))) (/.f64 (-.f64 z x) (+.f64 z x))) |
(*.f64 (/.f64 (+.f64 z x) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 z x) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(*.f64 (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64)))) (-.f64 z x)) |
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(*.f64 (*.f64 (/.f64 (+.f64 z x) (+.f64 z x)) (/.f64 (-.f64 z x) (-.f64 z x))) (-.f64 z x)) |
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(/.f64 (fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 y) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 y y)) z))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (neg.f64 y))) |
(/.f64 (fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 y) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 z (neg.f64 (*.f64 y y))))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (neg.f64 y))) |
(/.f64 (fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 z (pow.f64 y #s(literal 3 binary64))))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 (neg.f64 y) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 (neg.f64 z) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 z y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z y) x) (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64))) (-.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z y) x) (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 z (-.f64 y #s(literal 0 binary64))) (*.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y))) x)) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 z (-.f64 y #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 (/.f64 z y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 y #s(literal 0 binary64))) (*.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y))) x)) |
(fma.f64 (/.f64 z y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 y #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 z y)) |
(fma.f64 z y (*.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y))) x)) |
(fma.f64 z y (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 y z (*.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y))) x)) |
(fma.f64 y z (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 z y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 z y))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 z y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x)))))) (/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))) |
(-.f64 (*.f64 z y) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (*.f64 z y) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 (neg.f64 y) z)) |
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 (neg.f64 z) y)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z y) x) (-.f64 #s(literal 1 binary64) y))))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z y) x) (-.f64 #s(literal 1 binary64) y)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z y) x) (-.f64 #s(literal 1 binary64) y))))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z y) x) (-.f64 #s(literal 1 binary64) y)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) (/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (-.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))) |
(+.f64 (*.f64 z y) (*.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y))) x)) |
(+.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 z y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (neg.f64 (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))) |
(-.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 1 binary64) y))) |
Compiled 13 068 to 1 307 computations (90% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 306 | 1 | 307 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 3 | 3 |
| Total | 307 | 7 | 314 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (-.f64 z x) y x) |
| ▶ | 99.6% | #s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 z y))) |
| ✓ | 61.5% | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) |
| ✓ | 62.1% | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
| ✓ | 25.0% | #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
| ✓ | 39.9% | #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
| ✓ | 41.5% | #s(approx (+ x (* y (- z x))) (*.f64 z y)) |
Compiled 104 to 75 computations (27.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 z y))) | |
| cost-diff | 1 | (fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 z y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 48 |
| 0 | 23 | 48 |
| 1 | 48 | 48 |
| 2 | 115 | 48 |
| 3 | 291 | 48 |
| 4 | 833 | 48 |
| 5 | 2157 | 48 |
| 6 | 3349 | 48 |
| 7 | 3717 | 48 |
| 8 | 3795 | 48 |
| 9 | 3842 | 48 |
| 10 | 3908 | 48 |
| 11 | 3970 | 48 |
| 12 | 3980 | 48 |
| 13 | 3983 | 48 |
| 14 | 3997 | 48 |
| 15 | 4161 | 48 |
| 16 | 4161 | 48 |
| 17 | 4167 | 48 |
| 18 | 4167 | 48 |
| 19 | 4167 | 48 |
| 20 | 5241 | 48 |
| 21 | 6143 | 48 |
| 22 | 6164 | 48 |
| 23 | 6220 | 48 |
| 24 | 6795 | 46 |
| 25 | 7949 | 46 |
| 0 | 8039 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 z y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 z y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(*.f64 z y) |
z |
| Outputs |
|---|
#s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 z y))) |
#s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (fma.f64 (neg.f64 y) (-.f64 x z) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 z y)) |
(fma.f64 (neg.f64 y) (-.f64 x z) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(*.f64 z y) |
(*.f64 y z) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.0 | #s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 z y))) | |
| accuracy | 0.2617159976055602 | (fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 z y)) |
| 72.0ms | 256× | 0 | valid |
Compiled 42 to 21 computations (50% saved)
ival-pow: 41.0ms (65.1% of total)ival-mult: 13.0ms (20.6% of total)ival-add: 4.0ms (6.3% of total)ival-div: 2.0ms (3.2% of total)ival-sub: 2.0ms (3.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 z y)) |
#s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 z y))) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 z y) |
| Outputs |
|---|
(* y z) |
(+ (* x (- 1 y)) (* y z)) |
(+ (* x (- (+ 1 (* -1 (* x (+ (* -1 (/ y z)) (/ y z))))) y)) (* y z)) |
(+ (* x (- (+ 1 (* x (- (/ (* x (+ (* -1 (/ y z)) (/ y z))) z) (+ (* -1 (/ y z)) (/ y z))))) y)) (* y z)) |
(* x (- 1 y)) |
(* x (- (+ 1 (/ (* y z) x)) y)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* x (- (+ 1 (+ (* -1 y) (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (pow x 2))))) (* -1 (/ (* y z) x)))) |
(* x (- (+ 1 (+ (* -1 y) (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ (* y (pow z 2)) (pow x 2)))))) |
(* -1 (* x (+ (* -1 (- 1 y)) (* -1 (/ (* y z) x))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* y (pow z 2)) x)) (* -1 (* y z))) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (- (* -1 (/ (- (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x) (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x)) (* -1 (* y z))) x))) 1))) |
x |
(+ x (* y (+ z (* -1 x)))) |
(+ x (* y (- (/ (pow z 3) (+ (* x (+ x z)) (pow z 2))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2)))))) |
1 |
(+ 1 (* -1 y)) |
(* y (+ z (* -1 x))) |
(* y (+ z (+ (* -1 x) (/ x y)))) |
(* y (- (/ (pow z 3) (+ (* x (+ x z)) (pow z 2))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2))))) |
(* y (- (+ (/ x y) (/ (pow z 3) (+ (* x (+ x z)) (pow z 2)))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2))))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* -1 (* y (+ x (* -1 z)))) |
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y)))))) |
(/ (* y (- (pow z 3) (pow x 3))) (+ (* x (+ x z)) (pow z 2))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- (pow z 3) (pow x 3)) (+ (* x (+ x z)) (pow z 2))))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(+ x (* -1 (* x y))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(+ x (+ (* -1 (* x y)) (* z (- (* -1 (* z (+ (* -1 (/ y x)) (/ y x)))) (* -1 y))))) |
(+ x (+ (* -1 (* x y)) (* z (- (* z (- (/ (* z (+ (* -1 (/ y x)) (/ y x))) x) (+ (* -1 (/ y x)) (/ y x)))) (* -1 y))))) |
(* z (+ y (/ (* x (- 1 y)) z))) |
(* z (- (+ y (/ x z)) (/ (* x y) z))) |
(* z (- (+ y (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) (pow z 2))) (/ x z))) (/ (* x y) z))) |
(* z (- (+ y (+ (/ x z) (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2)))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x (- 1 y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) z)))) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) y)) (+ (* -1 (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) z)) (* (pow x 2) y))) z)))) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | y | @ | -inf | ((+ (* (- 1 y) x) (* z y)) (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (- 1 y) (* z y)) |
| 15.0ms | y | @ | inf | ((+ (* (- 1 y) x) (* z y)) (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (- 1 y) (* z y)) |
| 1.0ms | y | @ | 0 | ((+ (* (- 1 y) x) (* z y)) (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (- 1 y) (* z y)) |
| 1.0ms | z | @ | -inf | ((+ (* (- 1 y) x) (* z y)) (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (- 1 y) (* z y)) |
| 0.0ms | x | @ | inf | ((+ (* (- 1 y) x) (* z y)) (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (- 1 y) (* z y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 650 |
| 1 | 766 | 496 |
| 2 | 3084 | 485 |
| 0 | 8409 | 446 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y z) |
(+ (* x (- 1 y)) (* y z)) |
(+ (* x (- (+ 1 (* -1 (* x (+ (* -1 (/ y z)) (/ y z))))) y)) (* y z)) |
(+ (* x (- (+ 1 (* x (- (/ (* x (+ (* -1 (/ y z)) (/ y z))) z) (+ (* -1 (/ y z)) (/ y z))))) y)) (* y z)) |
(* x (- 1 y)) |
(* x (- (+ 1 (/ (* y z) x)) y)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* x (- (+ 1 (+ (* -1 y) (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (pow x 2))))) (* -1 (/ (* y z) x)))) |
(* x (- (+ 1 (+ (* -1 y) (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ (* y (pow z 2)) (pow x 2)))))) |
(* -1 (* x (+ (* -1 (- 1 y)) (* -1 (/ (* y z) x))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* y (pow z 2)) x)) (* -1 (* y z))) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (- (* -1 (/ (- (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x) (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x)) (* -1 (* y z))) x))) 1))) |
x |
(+ x (* y (+ z (* -1 x)))) |
(+ x (* y (- (/ (pow z 3) (+ (* x (+ x z)) (pow z 2))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2)))))) |
1 |
(+ 1 (* -1 y)) |
(* y (+ z (* -1 x))) |
(* y (+ z (+ (* -1 x) (/ x y)))) |
(* y (- (/ (pow z 3) (+ (* x (+ x z)) (pow z 2))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2))))) |
(* y (- (+ (/ x y) (/ (pow z 3) (+ (* x (+ x z)) (pow z 2)))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2))))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* -1 (* y (+ x (* -1 z)))) |
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y)))))) |
(/ (* y (- (pow z 3) (pow x 3))) (+ (* x (+ x z)) (pow z 2))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- (pow z 3) (pow x 3)) (+ (* x (+ x z)) (pow z 2))))))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(+ x (* -1 (* x y))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(+ x (+ (* -1 (* x y)) (* z (- (* -1 (* z (+ (* -1 (/ y x)) (/ y x)))) (* -1 y))))) |
(+ x (+ (* -1 (* x y)) (* z (- (* z (- (/ (* z (+ (* -1 (/ y x)) (/ y x))) x) (+ (* -1 (/ y x)) (/ y x)))) (* -1 y))))) |
(* z (+ y (/ (* x (- 1 y)) z))) |
(* z (- (+ y (/ x z)) (/ (* x y) z))) |
(* z (- (+ y (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) (pow z 2))) (/ x z))) (/ (* x y) z))) |
(* z (- (+ y (+ (/ x z) (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2)))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x (- 1 y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) z)))) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) y)) (+ (* -1 (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) z)) (* (pow x 2) y))) z)))) z))))) |
| Outputs |
|---|
(* y z) |
(*.f64 z y) |
(+ (* x (- 1 y)) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
(+ (* x (- (+ 1 (* -1 (* x (+ (* -1 (/ y z)) (/ y z))))) y)) (* y z)) |
(fma.f64 (-.f64 (fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64)) y) x (*.f64 z y)) |
(+ (* x (- (+ 1 (* x (- (/ (* x (+ (* -1 (/ y z)) (/ y z))) z) (+ (* -1 (/ y z)) (/ y z))))) y)) (* y z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x z) #s(literal 0 binary64)) x (-.f64 #s(literal 1 binary64) y)) x (*.f64 z y)) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- (+ 1 (/ (* y z) x)) y)) |
(*.f64 (fma.f64 (/.f64 y x) z (-.f64 #s(literal 1 binary64) y)) x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(*.f64 (fma.f64 (/.f64 y x) z (-.f64 #s(literal 1 binary64) y)) x) |
(* x (- (+ 1 (+ (* -1 y) (* -1 (/ (+ (* -1 (* y (pow z 2))) (* y (pow z 2))) (pow x 2))))) (* -1 (/ (* y z) x)))) |
(*.f64 (fma.f64 (/.f64 y x) z (-.f64 #s(literal 1 binary64) y)) x) |
(* x (- (+ 1 (+ (* -1 y) (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) (pow x 3)))) (+ (* -1 (/ (* y z) x)) (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ (* y (pow z 2)) (pow x 2)))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (fma.f64 #s(literal -1 binary64) y (/.f64 (fma.f64 z y #s(literal 0 binary64)) x))) x x) |
(* -1 (* x (+ (* -1 (- 1 y)) (* -1 (/ (* y z) x))))) |
(*.f64 (fma.f64 (/.f64 y x) z (-.f64 #s(literal 1 binary64) y)) x) |
(* -1 (* x (- y 1))) |
(*.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(*.f64 (neg.f64 x) (-.f64 y (fma.f64 (/.f64 z x) y #s(literal 1 binary64)))) |
(* -1 (* x (- (+ y (* -1 (/ (- (+ (* -1 (/ (* y (pow z 2)) x)) (/ (* y (pow z 2)) x)) (* -1 (* y z))) x))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (-.f64 y (/.f64 (fma.f64 z y #s(literal 0 binary64)) x)) #s(literal 1 binary64))) |
(* -1 (* x (- (+ y (* -1 (/ (- (* -1 (/ (- (/ (* z (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x) (+ (* -1 (* y (pow z 2))) (* y (pow z 2)))) x)) (* -1 (* y z))) x))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (-.f64 y (/.f64 (fma.f64 z y (fma.f64 #s(literal 0 binary64) z #s(literal 0 binary64))) x)) #s(literal 1 binary64))) |
x |
(+ x (* y (+ z (* -1 x)))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (* y (- (/ (pow z 3) (+ (* x (+ x z)) (pow z 2))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2)))))) |
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (+ z (* -1 x))) |
(*.f64 (-.f64 z x) y) |
(* y (+ z (+ (* -1 x) (/ x y)))) |
(*.f64 (+.f64 (-.f64 (/.f64 x y) x) z) y) |
(* y (- (/ (pow z 3) (+ (* x (+ x z)) (pow z 2))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2))))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(* y (- (+ (/ x y) (/ (pow z 3) (+ (* x (+ x z)) (pow z 2)))) (/ (pow x 3) (+ (* x (+ x z)) (pow z 2))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 x y)) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ x (* -1 z)))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y)))))) |
(*.f64 (+.f64 (-.f64 (/.f64 x y) x) z) y) |
(/ (* y (- (pow z 3) (pow x 3))) (+ (* x (+ x z)) (pow z 2))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- (pow z 3) (pow x 3)) (+ (* x (+ x z)) (pow z 2))))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 x y)) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (+ (* -1 (* x y)) (* z (- (* -1 (* z (+ (* -1 (/ y x)) (/ y x)))) (* -1 y))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z y) z (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(+ x (+ (* -1 (* x y)) (* z (- (* z (- (/ (* z (+ (* -1 (/ y x)) (/ y x))) x) (+ (* -1 (/ y x)) (/ y x)))) (* -1 y))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) z #s(literal 0 binary64)) z y) z (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(* z (+ y (/ (* x (- 1 y)) z))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) z) |
(* z (- (+ y (/ x z)) (/ (* x y) z))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) z) |
(* z (- (+ y (+ (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) (pow z 2))) (/ x z))) (/ (* x y) z))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) y) z) |
(* z (- (+ y (+ (/ x z) (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2)))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) x (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z)) y) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x (- 1 y)) z))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y)) z)))) z))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x (/.f64 #s(literal 0 binary64) z)) z) y) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) y)) (+ (* -1 (/ (* x (+ (* -1 (* (pow x 2) y)) (* (pow x 2) y))) z)) (* (pow x 2) y))) z)))) z))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x z) #s(literal 0 binary64)) z)) z) y) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 44 |
| 0 | 23 | 44 |
| 1 | 134 | 44 |
| 2 | 1111 | 44 |
| 0 | 8613 | 42 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 z y)) |
#s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 z y))) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 z y) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 y) z))) (/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 y) z)))) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 y) z))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 y) z))))) (+.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 y) z))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 y) z))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))) (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 z y))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (neg.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 y)) |
(*.f64 z y) |
(*.f64 y z) |
Compiled 5 079 to 446 computations (91.2% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 102 | 1 | 103 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 6 | 6 |
| Total | 103 | 7 | 110 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (-.f64 z x) y x) |
| 61.1% | #s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x (*.f64 z y))) | |
| ✓ | 61.5% | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) |
| ✓ | 62.1% | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
| ✓ | 25.0% | #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
| ✓ | 39.9% | #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
| ✓ | 41.5% | #s(approx (+ x (* y (- z x))) (*.f64 z y)) |
Compiled 303 to 132 computations (56.4% saved)
| Inputs |
|---|
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) |
(fma.f64 (-.f64 z x) y x) |
(+.f64 x (*.f64 y (-.f64 z x))) |
#s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) x (*.f64 z y))) |
#s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 z y))) |
#s(approx (+ (* (- (pow z 3) (pow x 3)) (/ y (+ (* (+ z x) x) (* z z)))) x) (fma.f64 (fma.f64 #s(literal 0 binary64) z y) z (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) x) |
| Outputs |
|---|
(fma.f64 (-.f64 z x) y x) |
4 calls:
| 5.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (+.f64 x (*.f64 y (-.f64 z x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 x (*.f64 y (-.f64 z x))) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) |
| Outputs |
|---|
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) |
4 calls:
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (+.f64 x (*.f64 y (-.f64 z x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.4% | 3 | (+.f64 x (*.f64 y (-.f64 z x))) |
| 79.2% | 3 | x |
| 88.3% | 3 | y |
| 84.2% | 3 | z |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
| Outputs |
|---|
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
2 calls:
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 3 | z |
| 68.8% | 3 | y |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) |
| Outputs |
|---|
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) |
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
4 calls:
| 2.0ms | z |
| 2.0ms | y |
| 1.0ms | x |
| 1.0ms | (+.f64 x (*.f64 y (-.f64 z x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.2% | 3 | y |
| 54.5% | 3 | (+.f64 x (*.f64 y (-.f64 z x))) |
| 60.5% | 5 | x |
| 64.4% | 3 | z |
Compiled 10 to 15 computations (-50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
| Outputs |
|---|
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
4 calls:
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | (+.f64 x (*.f64 y (-.f64 z x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.5% | 1 | (+.f64 x (*.f64 y (-.f64 z x))) |
| 41.5% | 1 | x |
| 41.5% | 1 | z |
| 41.5% | 1 | y |
Compiled 10 to 15 computations (-50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.0481471379766748e-54 | 3.2009385625707825e-51 |
| 12.0ms | -27.60948695710258 | -0.0012828904660581921 |
| 10.0ms | 256× | 0 | valid |
Compiled 426 to 348 computations (18.3% saved)
ival-sub: 2.0ms (42.8% of total)ival-mult: 2.0ms (42.8% of total)ival-add: 1.0ms (21.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 6.242354611547759e+31 | 5.1220113717717793e+39 |
| 11.0ms | -2.834452767265377e+55 | -6.595159135041979e+52 |
| 12.0ms | 272× | 0 | valid |
Compiled 418 to 352 computations (15.8% saved)
ival-sub: 2.0ms (41% of total)ival-mult: 2.0ms (41% of total)ival-add: 1.0ms (20.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.0481471379766748e-54 | 3.2009385625707825e-51 |
| 8.0ms | -27.60948695710258 | -0.0012828904660581921 |
| 9.0ms | 224× | 0 | valid |
Compiled 426 to 364 computations (14.6% saved)
ival-sub: 1.0ms (24.9% of total)ival-add: 1.0ms (24.9% of total)ival-mult: 1.0ms (24.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 120 |
| 1 | 58 | 120 |
| 2 | 74 | 120 |
| 3 | 87 | 120 |
| 4 | 96 | 120 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (-.f64 z x) y x) |
(if (<=.f64 y #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 3706992666733213/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)))) |
(if (<=.f64 z #s(literal -84999999999999999423780637320738377999245217565245440 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 z y)) (if (<=.f64 z #s(literal 4199999999999999716555353270367620694016 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x (* y (- z x))) (*.f64 z y)))) |
(if (<=.f64 y #s(literal -1498797955988901/1152921504606846976 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 z y)) (if (<=.f64 y #s(literal 5607668906767333/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ x (* y (- z x))) (*.f64 z y)))) |
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
| Outputs |
|---|
(fma.f64 (-.f64 z x) y x) |
(if (<=.f64 y #s(literal -3152519739159347/2251799813685248 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 3706992666733213/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)))) |
(if (or (<=.f64 y #s(literal -3152519739159347/2251799813685248 binary64)) (not (<=.f64 y #s(literal 3706992666733213/6739986666787659948666753771754907668409286105635143120275902562304 binary64)))) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
(if (<=.f64 z #s(literal -84999999999999999423780637320738377999245217565245440 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 z y)) (if (<=.f64 z #s(literal 4199999999999999716555353270367620694016 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x (* y (- z x))) (*.f64 z y)))) |
(if (or (<=.f64 z #s(literal -84999999999999999423780637320738377999245217565245440 binary64)) (not (<=.f64 z #s(literal 4199999999999999716555353270367620694016 binary64)))) #s(approx (+ x (* y (- z x))) (*.f64 z y)) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
(if (<=.f64 y #s(literal -1498797955988901/1152921504606846976 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 z y)) (if (<=.f64 y #s(literal 5607668906767333/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ x (* y (- z x))) (*.f64 z y)))) |
(if (or (<=.f64 y #s(literal -1498797955988901/1152921504606846976 binary64)) (not (<=.f64 y #s(literal 5607668906767333/862718293348820473429344482784628181556388621521298319395315527974912 binary64)))) #s(approx (+ x (* y (- z x))) (*.f64 z y)) #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 384 | 1371 |
| 1 | 1321 | 1010 |
| 2 | 5570 | 987 |
| 0 | 8228 | 928 |
| 0 | 73 | 191 |
| 1 | 266 | 137 |
| 2 | 894 | 137 |
| 3 | 2847 | 137 |
| 4 | 5287 | 137 |
| 5 | 7163 | 137 |
| 0 | 8030 | 128 |
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 37 | 15 |
| 2 | 275 | 15 |
| 3 | 3239 | 15 |
| 0 | 8340 | 14 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 176 to 97 computations (44.9% saved)
Compiled 254 to 96 computations (62.2% saved)
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