
Time bar (total: 2.6s)
| 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)
| 289.0ms | 8 256× | 0 | valid |
ival-add: 75.0ms (55.7% of total)ival-mult: 51.0ms (37.9% of total)ival-true: 6.0ms (4.5% of total)ival-assert: 3.0ms (2.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 z x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y (+.f64 z x)) |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 y (+.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 |
| 22.0ms | 512× | 0 | valid |
Compiled 83 to 34 computations (59% saved)
ival-add: 5.0ms (56.7% of total)ival-mult: 3.0ms (34% 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 | 70 |
| 1 | 94 | 63 |
| 2 | 290 | 63 |
| 3 | 708 | 63 |
| 4 | 1654 | 63 |
| 5 | 2395 | 63 |
| 6 | 2500 | 63 |
| 7 | 2500 | 63 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 18 | 7 |
| 2 | 29 | 7 |
| 3 | 38 | 7 |
| 4 | 42 | 7 |
| 5 | 48 | 7 |
| 6 | 48 | 7 |
| 7 | 61 | 7 |
| 8 | 61 | 7 |
| 9 | 73 | 7 |
| 10 | 75 | 7 |
| 11 | 79 | 7 |
| 0 | 79 | 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 | 128 | (+.f64 x (*.f64 y (+.f64 z x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 18 | 18 |
| 2 | 29 | 18 |
| 3 | 38 | 18 |
| 4 | 42 | 18 |
| 5 | 48 | 18 |
| 6 | 48 | 18 |
| 7 | 61 | 18 |
| 8 | 61 | 18 |
| 9 | 73 | 18 |
| 10 | 75 | 18 |
| 11 | 79 | 18 |
| 0 | 79 | 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 | (+.f64 z x) | |
| accuracy | 0.00390625 | (+.f64 x (*.f64 y (+.f64 z x))) | |
| accuracy | 0.0078125 | (*.f64 y (+.f64 z x)) |
| 10.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-add: 2.0ms (48.1% of total)ival-mult: 2.0ms (48.1% 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 y)) (* y z)) |
(+ (* x y) (* y z)) |
z |
(+ x z) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x y) |
(* x (+ y (/ (* y z) x))) |
x |
(* x (+ 1 (/ z x))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+ x (* y (+ x z))) |
(* y (+ x z)) |
(* y (+ x (+ z (/ x y)))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(+ x (* x y)) |
(+ x (+ (* x y) (* y z))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (/ (* x y) z))) |
(* z (+ 1 (/ x z))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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 | z | @ | -inf | ((+ x (* y (+ z x))) (* y (+ z x)) (+ z x)) |
| 0.0ms | y | @ | -inf | ((+ x (* y (+ z x))) (* y (+ z x)) (+ z x)) |
| 0.0ms | x | @ | -inf | ((+ x (* y (+ z x))) (* y (+ z x)) (+ z x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 149 |
| 1 | 249 | 131 |
| 2 | 731 | 131 |
| 3 | 2102 | 131 |
| 4 | 4314 | 131 |
| 5 | 5684 | 131 |
| 6 | 6814 | 131 |
| 7 | 7682 | 131 |
| 0 | 8071 | 119 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y z) |
(+ (* x (+ 1 y)) (* y z)) |
(+ (* x y) (* y z)) |
z |
(+ x z) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x y) |
(* x (+ y (/ (* y z) x))) |
x |
(* x (+ 1 (/ z x))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+ x (* y (+ x z))) |
(* y (+ x z)) |
(* y (+ x (+ z (/ x y)))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(+ x (* x y)) |
(+ x (+ (* x y) (* y z))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (/ (* x y) z))) |
(* z (+ 1 (/ x z))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
| Outputs |
|---|
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
z |
(+ x z) |
(+.f64 z x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ (* y z) x))) |
(*.f64 (+.f64 z x) y) |
x |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+.f64 z x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (/ (* x y) z))) |
(*.f64 (+.f64 z x) y) |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(+.f64 z x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 41 | 15 |
| 2 | 351 | 15 |
| 3 | 4269 | 15 |
| 0 | 8638 | 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 (pow.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 (+.f64 z x) y) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 (+.f64 z x) y) (*.f64 x x)) (+.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.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))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (+.f64 z x) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (+.f64 z x) y)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.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))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (+.f64 z x) y) (fma.f64 (+.f64 z x) y x) (*.f64 x 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 (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 (+.f64 z x) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (+.f64 z x) y (neg.f64 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 (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 (+.f64 z x) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 (+.f64 z x) y)) (-.f64 (*.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 (+.f64 z x) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)))) (fma.f64 (+.f64 z x) y x)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x (*.f64 (+.f64 z x) y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x (*.f64 (+.f64 z x) y)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 (+.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 (+.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z x) y x)) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 x (*.f64 (+.f64 z x) y))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 (+.f64 z x) y) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (*.f64 (+.f64 z x) y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 (+.f64 z x) y) (*.f64 x x)) (/.f64 (fma.f64 (+.f64 z x) y x) (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 (+.f64 z x) y) (*.f64 x x)))) |
(*.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 (+.f64 z x) y) (*.f64 x x)) (*.f64 (fma.f64 (+.f64 z x) y x) (pow.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 (+.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 (+.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (+.f64 z x) y x) (/.f64 (-.f64 x (*.f64 (+.f64 z x) y)) (-.f64 x (*.f64 (+.f64 z x) y)))) |
(*.f64 (fma.f64 (+.f64 z x) y x) (*.f64 (-.f64 x (*.f64 (+.f64 z x) y)) (pow.f64 (-.f64 x (*.f64 (+.f64 z x) y)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 z x) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 z x) y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 4 binary64))) (pow.f64 (-.f64 x (*.f64 (+.f64 z x) y)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 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 x (*.f64 (+.f64 z x) y)) #s(literal -1 binary64))) (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 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 (+.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 (+.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64))) (-.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)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 (+.f64 z x) y) (*.f64 x x))) |
(/.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 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 (fma.f64 z y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (fma.f64 z y x) (*.f64 y x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (-.f64 (*.f64 z y) (fma.f64 y x 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))))))) |
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(-.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (*.f64 z z) (-.f64 x z))) |
(-.f64 (*.f64 z (/.f64 z (-.f64 z x))) (*.f64 x (/.f64 x (-.f64 z x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 z x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 z (/.f64 z (-.f64 z x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 z x))))) |
(+.f64 z x) |
(+.f64 x z) |
Compiled 5 915 to 817 computations (86.2% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 247 | 4 | 251 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 248 | 4 | 252 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (+.f64 z x) y x) |
| ▶ | 98.4% | (fma.f64 z y (fma.f64 y x x)) |
| ▶ | 57.0% | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| ▶ | 46.4% | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
Compiled 36 to 26 computations (27.8% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | (fma.f64 (+.f64 z x) y x) | |
| cost-diff | 0 | (fma.f64 y x x) | |
| cost-diff | 192 | (fma.f64 z y (fma.f64 y x x)) | |
| cost-diff | 0 | (fma.f64 y x x) | |
| cost-diff | 0 | #s(approx (+ x (* y (+ z x))) (fma.f64 y x 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 | 13 | 60 |
| 0 | 20 | 57 |
| 1 | 34 | 57 |
| 2 | 44 | 57 |
| 3 | 51 | 57 |
| 4 | 51 | 57 |
| 5 | 64 | 57 |
| 6 | 64 | 57 |
| 7 | 76 | 57 |
| 8 | 78 | 57 |
| 9 | 82 | 57 |
| 0 | 82 | 57 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
(fma.f64 z y (fma.f64 y x x)) |
z |
y |
(fma.f64 y x x) |
x |
(fma.f64 (+.f64 z x) y x) |
(+.f64 z x) |
z |
x |
y |
| Outputs |
|---|
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
(fma.f64 z y (fma.f64 y x x)) |
(fma.f64 (+.f64 z x) y x) |
z |
y |
(fma.f64 y x x) |
x |
(fma.f64 (+.f64 z x) y x) |
(+.f64 z x) |
z |
x |
y |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 z x) | |
| accuracy | 0.00390625 | (fma.f64 (+.f64 z x) y x) | |
| accuracy | 0 | (fma.f64 y x x) | |
| accuracy | 0.9999889904222409 | (fma.f64 z y (fma.f64 y x x)) | |
| accuracy | 0 | (fma.f64 y x x) | |
| accuracy | 27.537184324233774 | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 34.30149364687263 | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
| 21.0ms | 256× | 0 | valid |
Compiled 118 to 27 computations (77.1% saved)
ival-mult: 6.0ms (53.4% of total)ival-add: 5.0ms (44.5% of total)ival-true: 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))) (fma.f64 y x x)) |
(fma.f64 y x x) |
(fma.f64 z y (fma.f64 y x x)) |
(fma.f64 (+.f64 z x) y x) |
(+.f64 z x) |
| Outputs |
|---|
(* y z) |
(+ (* x (+ 1 y)) (* y z)) |
(* x (+ 1 y)) |
z |
(+ x z) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
x |
(* x (+ 1 (/ z x))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+ x (* y (+ x z))) |
(+ x (* x y)) |
(* y (+ x z)) |
(* y (+ x (+ z (/ x y)))) |
(* x y) |
(* y (+ x (/ x y))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y)))))) |
(+ x (+ (* x y) (* y z))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ 1 (/ x z))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ (* z y) (+ (* y x) x)) (+ (* (+ z x) y) x) (+ z x)) |
| 1.0ms | y | @ | -inf | ((+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ (* z y) (+ (* y x) x)) (+ (* (+ z x) y) x) (+ z x)) |
| 1.0ms | x | @ | -inf | ((+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ (* z y) (+ (* y x) x)) (+ (* (+ z x) y) x) (+ z x)) |
| 1.0ms | x | @ | inf | ((+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ (* z y) (+ (* y x) x)) (+ (* (+ z x) y) x) (+ z x)) |
| 1.0ms | z | @ | -inf | ((+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ (* z y) (+ (* y x) x)) (+ (* (+ z x) y) x) (+ z x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 148 |
| 1 | 255 | 128 |
| 2 | 690 | 128 |
| 3 | 1868 | 128 |
| 4 | 4838 | 128 |
| 5 | 6582 | 128 |
| 6 | 7884 | 128 |
| 0 | 8191 | 113 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y z) |
(+ (* x (+ 1 y)) (* y z)) |
(* x (+ 1 y)) |
z |
(+ x z) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
x |
(* x (+ 1 (/ z x))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+ x (* y (+ x z))) |
(+ x (* x y)) |
(* y (+ x z)) |
(* y (+ x (+ z (/ x y)))) |
(* x y) |
(* y (+ x (/ x y))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y)))))) |
(+ x (+ (* x y) (* y z))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ 1 (/ x z))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
| Outputs |
|---|
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
z |
(+ x z) |
(+.f64 z x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
x |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+.f64 z x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* x y)) |
(fma.f64 y x x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y)))))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(+.f64 z x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 46 |
| 0 | 20 | 43 |
| 1 | 94 | 43 |
| 2 | 727 | 43 |
| 0 | 8215 | 43 |
| 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))) (fma.f64 y x x)) |
(fma.f64 y x x) |
(fma.f64 z y (fma.f64 y x x)) |
(fma.f64 (+.f64 z x) y x) |
(+.f64 z x) |
| Outputs |
|---|
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
(*.f64 z y) |
(*.f64 y z) |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y x) y))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y x)))) |
(*.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 (*.f64 y x) y) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 y x) x)))) |
(*.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 y (*.f64 y x) (-.f64 x (*.f64 y x))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) y) x) |
(*.f64 #s(literal 1 binary64) (fma.f64 y x x)) |
(*.f64 (*.f64 x (-.f64 (*.f64 (*.f64 y x) y) x)) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) y))))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x (fma.f64 y (*.f64 y x) (-.f64 x (*.f64 y x)))) #s(literal -1 binary64))) |
(*.f64 x (+.f64 #s(literal 1 binary64) y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y x) y)))) (neg.f64 (-.f64 x (*.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 (*.f64 y x) y) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 y x) x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 y (*.f64 y x) (-.f64 x (*.f64 y x))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 y (*.f64 y x) (-.f64 x (*.f64 y x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y x) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)))) (*.f64 x (fma.f64 y (*.f64 y x) (-.f64 x (*.f64 y x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (*.f64 y x) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (*.f64 (-.f64 (*.f64 y x) x) (*.f64 x x))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y x) y))) (-.f64 x (*.f64 y x))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 (*.f64 y x) y) x))) (neg.f64 (-.f64 (*.f64 y x) x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 y (*.f64 y x) (-.f64 x (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x (-.f64 x (*.f64 (*.f64 y x) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) y))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x x))) |
(/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 y x) y) x)) (-.f64 (*.f64 y x) x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 y (*.f64 y x) (-.f64 x (*.f64 y x))))) |
(neg.f64 (neg.f64 (fma.f64 y x x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 y x)) |
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))) |
(fma.f64 y x (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 y x (*.f64 x #s(literal 1 binary64))) |
(fma.f64 y x x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 x y (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 x y (*.f64 x #s(literal 1 binary64))) |
(fma.f64 x y x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 x (*.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 y x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))) |
(+.f64 (*.f64 y x) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 y x) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 y x) x) |
(+.f64 x (*.f64 y x)) |
(*.f64 (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y x x) (*.f64 z y)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 z x) y (neg.f64 x))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y (fma.f64 y x x)))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 (+.f64 z x) y))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (+.f64 z x) y)) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (+.f64 z x) y) (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 x x))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z x) y x)) |
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(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64))) (neg.f64 (-.f64 x (*.f64 (+.f64 z x) y))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (+.f64 z x) y)) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)))))) |
(neg.f64 (/.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 z x) y) (fma.f64 (+.f64 z x) y (neg.f64 x)) (*.f64 x x))))) |
(fma.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y) (pow.f64 (-.f64 z x) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (pow.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 y (*.f64 (+.f64 z x) (-.f64 z x))) (pow.f64 (-.f64 z x) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 y (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x))) x) |
(fma.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y x) y))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y x))) (*.f64 z y)) |
(fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 z y))))) x) |
(fma.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 (*.f64 y x) y) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 y x) x))) (*.f64 z y)) |
(fma.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 y (*.f64 y x) (-.f64 x (*.f64 y x)))))) (*.f64 z y)) |
(fma.f64 (+.f64 #s(literal 1 binary64) y) x (*.f64 z y)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 y x x) (*.f64 z y)) |
(fma.f64 (*.f64 x (-.f64 (*.f64 (*.f64 y x) y) x)) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)) (*.f64 z y)) |
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (fma.f64 y (-.f64 z x) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (fma.f64 y (-.f64 z x) (neg.f64 x))))) |
(fma.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (+.f64 z x) y (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 z x) y (neg.f64 x))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (*.f64 (+.f64 z x) y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (+.f64 z x) y))))) |
(fma.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) y)))) (*.f64 z y)) |
(fma.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x (fma.f64 y (*.f64 y x) (-.f64 x (*.f64 y x)))) #s(literal -1 binary64)) (*.f64 z y)) |
(fma.f64 (+.f64 z x) y x) |
(fma.f64 z y (fma.f64 y x x)) |
(fma.f64 y (+.f64 z x) x) |
(fma.f64 y z (fma.f64 y x x)) |
(fma.f64 y x (fma.f64 z y x)) |
(fma.f64 y x (+.f64 x (*.f64 z y))) |
(fma.f64 x (+.f64 #s(literal 1 binary64) y) (*.f64 z y)) |
(fma.f64 x y (fma.f64 z y x)) |
(fma.f64 x y (+.f64 x (*.f64 z y))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 (fma.f64 y x x) (*.f64 z y))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (fma.f64 y x x) (*.f64 z y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (+.f64 z x) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (+.f64 z x) y (neg.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 y (-.f64 z x) (neg.f64 x))) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (fma.f64 y (-.f64 z x) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x 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 (fma.f64 z y x) (*.f64 y x)) |
(+.f64 (+.f64 x (*.f64 z y)) (*.f64 y x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (+.f64 z x) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 z x) y (neg.f64 x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 y (-.f64 z x) (neg.f64 x))) (neg.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (fma.f64 y (-.f64 z x) (neg.f64 x))))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 z x) y))) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (+.f64 z x) y))))) |
(+.f64 (*.f64 y x) (fma.f64 z y x)) |
(+.f64 (*.f64 y x) (+.f64 x (*.f64 z y))) |
(+.f64 (fma.f64 y x x) (*.f64 z y)) |
(+.f64 (*.f64 z y) (fma.f64 y x x)) |
(+.f64 (*.f64 (+.f64 z x) y) x) |
(+.f64 x (*.f64 (+.f64 z x) y)) |
(*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(*.f64 (*.f64 (neg.f64 (+.f64 z x)) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x z) (*.f64 z z))))) |
(*.f64 #s(literal 1 binary64) (+.f64 z x)) |
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (pow.f64 (-.f64 z x) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (-.f64 z x))))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 z z) (-.f64 z x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))) (+.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z z) (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 z x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 z z) (-.f64 z x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)) (*.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z))) (neg.f64 (-.f64 x z))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 z x)) (-.f64 z x))) (neg.f64 (neg.f64 (-.f64 z x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x z) (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (*.f64 x x)) (-.f64 z x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (-.f64 z x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)))) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (-.f64 x z)) |
(/.f64 (*.f64 (neg.f64 (+.f64 z x)) (-.f64 z x)) (neg.f64 (-.f64 z x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 z (-.f64 z x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 z x) (-.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 z (-.f64 z x)))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(neg.f64 (neg.f64 (+.f64 z x))) |
(fma.f64 (*.f64 z z) (pow.f64 (-.f64 z x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 z x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (*.f64 z z) (-.f64 x z))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x))) |
(+.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 z x)))) |
(+.f64 z x) |
(+.f64 x z) |
Compiled 7 018 to 788 computations (88.8% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 276 | 3 | 279 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 0 | 0 |
| Total | 277 | 6 | 283 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (+.f64 z x) y x) |
| ▶ | 62.5% | (fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x))) |
| ▶ | 64.0% | #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)) |
| ✓ | 57.0% | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| ✓ | 46.4% | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
| ▶ | 21.7% | #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
Compiled 73 to 50 computations (31.5% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* y x) x) (*.f64 y x)) | |
| cost-diff | 0 | (fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x))) | |
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | (*.f64 (+.f64 z x) y) | |
| cost-diff | 0 | #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* y x) x) (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 84 |
| 0 | 21 | 82 |
| 1 | 36 | 82 |
| 2 | 46 | 82 |
| 3 | 53 | 82 |
| 4 | 53 | 82 |
| 5 | 66 | 82 |
| 6 | 66 | 82 |
| 7 | 78 | 82 |
| 8 | 80 | 82 |
| 9 | 84 | 82 |
| 0 | 84 | 76 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ (* y x) x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)) |
(*.f64 (+.f64 z x) y) |
(+.f64 z x) |
z |
x |
y |
(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x))) |
z |
y |
#s(approx (+ (* y x) x) (*.f64 y x)) |
(*.f64 y x) |
x |
| Outputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ (* y x) x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)) |
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
(*.f64 (+.f64 z x) y) |
(+.f64 z x) |
z |
x |
y |
(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x))) |
z |
y |
#s(approx (+ (* y x) x) (*.f64 y x)) |
(*.f64 y x) |
x |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.9999889904222409 | (fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x))) | |
| accuracy | 34.90102855385614 | #s(approx (+ (* y x) x) (*.f64 y x)) | |
| accuracy | 0 | (+.f64 z x) | |
| accuracy | 0.0078125 | (*.f64 (+.f64 z x) y) | |
| accuracy | 23.005718766208272 | #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 27.537184324233774 | #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) | |
| accuracy | 34.90102855385614 | #s(approx (+ (* y x) x) (*.f64 y x)) |
| 19.0ms | 256× | 0 | valid |
Compiled 143 to 30 computations (79% saved)
ival-mult: 6.0ms (57.9% of total)ival-add: 4.0ms (38.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ (* y x) x) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)) |
(*.f64 (+.f64 z x) y) |
(+.f64 z x) |
(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x))) |
| Outputs |
|---|
(* y z) |
(+ (* x (+ 1 y)) (* y z)) |
(* x (+ 1 y)) |
(* x y) |
(+ (* x y) (* y z)) |
z |
(+ x z) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ y (/ (* y z) x))) |
x |
(* x (+ 1 (/ z x))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+ x (* y (+ x z))) |
(+ x (* x y)) |
(* y (+ x z)) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x (/ x y))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y)))))) |
(+ x (+ (* x y) (* y z))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (/ (* x y) z))) |
(* z (+ 1 (/ x z))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* z y) (+ (* y x) x)) (* (+ z x) y) (+ z x) (+ (* z y) (+ (* y x) x))) |
| 1.0ms | x | @ | -inf | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* z y) (+ (* y x) x)) (* (+ z x) y) (+ z x) (+ (* z y) (+ (* y x) x))) |
| 1.0ms | x | @ | inf | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* z y) (+ (* y x) x)) (* (+ z x) y) (+ z x) (+ (* z y) (+ (* y x) x))) |
| 1.0ms | y | @ | inf | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* z y) (+ (* y x) x)) (* (+ z x) y) (+ z x) (+ (* z y) (+ (* y x) x))) |
| 1.0ms | z | @ | -inf | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* z y) (+ (* y x) x)) (* (+ z x) y) (+ z x) (+ (* z y) (+ (* y x) x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 173 |
| 1 | 300 | 153 |
| 2 | 833 | 153 |
| 3 | 2226 | 153 |
| 4 | 4394 | 153 |
| 5 | 5713 | 153 |
| 6 | 6687 | 153 |
| 7 | 7142 | 153 |
| 8 | 7419 | 153 |
| 9 | 7610 | 153 |
| 0 | 8484 | 138 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y z) |
(+ (* x (+ 1 y)) (* y z)) |
(* x (+ 1 y)) |
(* x y) |
(+ (* x y) (* y z)) |
z |
(+ x z) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* x (+ y (/ (* y z) x))) |
x |
(* x (+ 1 (/ z x))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+ x (* y (+ x z))) |
(+ x (* x y)) |
(* y (+ x z)) |
(* y (+ x (+ z (/ x y)))) |
(* y (+ x (/ x y))) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y)))))) |
(+ x (+ (* x y) (* y z))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (/ (* x y) z))) |
(* z (+ 1 (/ x z))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
| Outputs |
|---|
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
z |
(+ x z) |
(+.f64 z x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* x (+ y (/ (* y z) x))) |
(*.f64 (+.f64 z x) y) |
x |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+.f64 z x) |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (* x y)) |
(fma.f64 y x x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* -1 (* y (+ (* -1 (+ x z)) (* -1 (/ x y))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y)))))) |
(fma.f64 (+.f64 z x) y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (/ (* x y) z))) |
(*.f64 (+.f64 z x) y) |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(+.f64 z x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 64 |
| 0 | 21 | 62 |
| 1 | 91 | 62 |
| 2 | 746 | 62 |
| 0 | 8208 | 57 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ (* y x) x) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)) |
(*.f64 (+.f64 z x) y) |
(+.f64 z x) |
(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x))) |
| Outputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ (* y x) x) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x y) |
#s(approx (+ x (* y (+ z x))) (*.f64 (+.f64 z x) y)) |
(*.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y) (pow.f64 (-.f64 z x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (pow.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (*.f64 (+.f64 z x) (-.f64 z x))) (pow.f64 (-.f64 z x) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x)))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 z y)))))) |
(*.f64 (+.f64 z x) y) |
(*.f64 y (+.f64 z x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 z y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (*.f64 z y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y)) (neg.f64 (-.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 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 (neg.f64 (*.f64 y (*.f64 (+.f64 z x) (-.f64 z x)))) (neg.f64 (-.f64 z x))) |
(/.f64 (neg.f64 (*.f64 y (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y y) (*.f64 (+.f64 z x) (-.f64 z x)))) (neg.f64 (*.f64 y (-.f64 z x)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 z y)))))) |
(/.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y) (-.f64 z x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 (*.f64 y (*.f64 (+.f64 z x) (-.f64 z x))) (-.f64 z x)) |
(/.f64 (*.f64 y (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 (+.f64 z x) (-.f64 z x))) (*.f64 y (-.f64 z x))) |
(/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 z y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 y (*.f64 (+.f64 z x) (-.f64 z x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 y (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 z x)) (*.f64 (*.f64 y y) (*.f64 (+.f64 z x) (-.f64 z x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 z y)))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 z x))) |
(fma.f64 z y (*.f64 y x)) |
(fma.f64 y z (*.f64 y x)) |
(fma.f64 y x (*.f64 z y)) |
(fma.f64 x y (*.f64 z y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 z x)))) |
(+.f64 (*.f64 z y) (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 z y)) |
(*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(*.f64 (*.f64 (neg.f64 (+.f64 z x)) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 z x)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x z) (*.f64 z z))))) |
(*.f64 #s(literal 1 binary64) (+.f64 z x)) |
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (pow.f64 (-.f64 z x) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (-.f64 z x))))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 z z) (-.f64 z x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))) (+.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z z) (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 z x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 z z) (-.f64 z x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)) (*.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z))) (neg.f64 (-.f64 x z))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 z x)) (-.f64 z x))) (neg.f64 (neg.f64 (-.f64 z x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x z) (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (*.f64 x x)) (-.f64 z x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (-.f64 z x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)))) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (-.f64 x z)) |
(/.f64 (*.f64 (neg.f64 (+.f64 z x)) (-.f64 z x)) (neg.f64 (-.f64 z x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 z (-.f64 z x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 (+.f64 z x) (-.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 z (-.f64 z x)))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(neg.f64 (neg.f64 (+.f64 z x))) |
(fma.f64 (*.f64 z z) (pow.f64 (-.f64 z x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 z x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (*.f64 z z) (-.f64 x z))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (/.f64 (*.f64 x x) (-.f64 z x))) |
(+.f64 (/.f64 (*.f64 z z) (-.f64 z x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 z x)))) |
(+.f64 z x) |
(+.f64 x z) |
(*.f64 (-.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 z y)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (-.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x))))))) |
(*.f64 (+.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (-.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x))))) (*.f64 (/.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))) (/.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))))) (+.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))) (/.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))) (fma.f64 (/.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))) (/.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))) (/.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 z y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (-.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64))) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (+.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x))) #s(literal 2 binary64)))) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (-.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 9 binary64)) (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x))) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (-.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))) (*.f64 (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x))) (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x))) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 z y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (-.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 z y)) (-.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x))))) (+.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64))) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (-.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)))) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x))))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (fma.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (-.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (-.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))))) |
(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x))) |
(fma.f64 y z #s(approx (+ (* y x) x) (*.f64 y x))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 z y))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 z y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))) (/.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))) (neg.f64 (/.f64 (pow.f64 #s(approx (+ (* y x) x) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x)))))) |
(+.f64 (*.f64 z y) #s(approx (+ (* y x) x) (*.f64 y x))) |
(+.f64 #s(approx (+ (* y x) x) (*.f64 y x)) (*.f64 z y)) |
Compiled 4 192 to 466 computations (88.9% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 134 | 0 | 134 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 3 | 3 |
| Total | 134 | 6 | 140 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (+.f64 z x) y x) |
| ✓ | 62.5% | (fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x))) |
| ✓ | 64.0% | #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)) |
| ✓ | 57.0% | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| ✓ | 46.4% | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
| ✓ | 21.7% | #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
Compiled 160 to 75 computations (53.1% saved)
| Inputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)) |
(fma.f64 (+.f64 z x) y x) |
(+.f64 x (*.f64 y (+.f64 z x))) |
(fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x))) |
(fma.f64 z y (fma.f64 y x x)) |
| Outputs |
|---|
(fma.f64 (+.f64 z x) y x) |
4 calls:
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| 4.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (+.f64 x (*.f64 y (+.f64 z x))) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)) |
| Outputs |
|---|
#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)) |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
#s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)) |
4 calls:
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.5% | 3 | x |
| 82.7% | 3 | y |
| 82.7% | 3 | z |
| 74.4% | 5 | (+.f64 x (*.f64 y (+.f64 z x))) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| Outputs |
|---|
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
2 calls:
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.4% | 3 | z |
| 66.9% | 4 | y |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
| Outputs |
|---|
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
4 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.1% | 2 | y |
| 46.4% | 1 | (+.f64 x (*.f64 y (+.f64 z x))) |
| 53.2% | 3 | x |
| 57.2% | 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))) #s(approx (+ (* y x) x) (*.f64 y x))) |
| Outputs |
|---|
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
4 calls:
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 21.7% | 1 | (+.f64 x (*.f64 y (+.f64 z x))) |
| 21.7% | 1 | y |
| 21.7% | 1 | x |
| 21.7% | 1 | z |
Compiled 10 to 15 computations (-50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 6.047133220200579e-97 | 7.683852611307686e-93 |
| 12.0ms | -3.7435425915508745e-74 | -1.0580437529229615e-83 |
| 12.0ms | 272× | 0 | valid |
Compiled 469 to 352 computations (24.9% saved)
ival-add: 3.0ms (56.2% of total)ival-mult: 2.0ms (37.5% 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 |
|---|---|---|
| 13.0ms | 1.7668206673963295e+87 | 2.921403460581645e+97 |
| 4.0ms | -2201295532056465200.0 | -1896272492072107300.0 |
| 9.0ms | 208× | 0 | valid |
Compiled 309 to 246 computations (20.4% saved)
ival-add: 2.0ms (49% of total)ival-mult: 1.0ms (24.5% 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 |
|---|---|---|
| 13.0ms | 2.010022457863616e-18 | 1.2941824606707215e-8 |
| 8.0ms | -1.2107386230107502e-61 | -2.8756070031092417e-62 |
| 11.0ms | 256× | 0 | valid |
Compiled 458 to 348 computations (24% saved)
ival-add: 3.0ms (59.9% of total)ival-mult: 2.0ms (39.9% 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 | 39 | 162 |
| 1 | 43 | 162 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (+.f64 z x) y x) |
(if (<=.f64 y #s(literal -1161976947540975/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 5771778251424973/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)))) |
(if (<=.f64 z #s(literal -2150000000000000000 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (if (<=.f64 z #s(literal 820000000000000047148592442919352122455139027329381020996252973819672190515296911763198443520 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)))) |
(if (<=.f64 z #s(literal -911862702743865/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (if (<=.f64 z #s(literal 6338253001141147/633825300114114700748351602688 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #s(approx (+ x (* y (+ z x))) (*.f64 z y)))) |
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
| Outputs |
|---|
(fma.f64 (+.f64 z x) y x) |
(fma.f64 (+.f64 x z) y x) |
(if (<=.f64 y #s(literal -1161976947540975/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 5771778251424973/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)))) |
(if (<=.f64 y #s(literal -1161976947540975/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 y (+.f64 x z))) (if (<=.f64 y #s(literal 5771778251424973/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 y (+.f64 x z))))) |
(if (<=.f64 z #s(literal -2150000000000000000 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (if (<=.f64 z #s(literal 820000000000000047148592442919352122455139027329381020996252973819672190515296911763198443520 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)))) |
(if (<=.f64 z #s(literal -2150000000000000000 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 y z)) (if (<=.f64 z #s(literal 820000000000000047148592442919352122455139027329381020996252973819672190515296911763198443520 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #s(approx (+ x (* y (+ z x))) (*.f64 y z)))) |
(if (<=.f64 z #s(literal -911862702743865/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)) (if (<=.f64 z #s(literal 6338253001141147/633825300114114700748351602688 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #s(approx (+ x (* y (+ z x))) (*.f64 z y)))) |
(if (<=.f64 z #s(literal -911862702743865/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 y z)) (if (<=.f64 z #s(literal 6338253001141147/633825300114114700748351602688 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) #s(approx (+ x (* y (+ z x))) (*.f64 y z)))) |
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 41 | 15 |
| 2 | 351 | 15 |
| 3 | 4269 | 15 |
| 0 | 8638 | 14 |
| 0 | 70 | 149 |
| 1 | 249 | 131 |
| 2 | 731 | 131 |
| 3 | 2102 | 131 |
| 4 | 4314 | 131 |
| 5 | 5684 | 131 |
| 6 | 6814 | 131 |
| 7 | 7682 | 131 |
| 0 | 8071 | 119 |
| 0 | 75 | 148 |
| 1 | 255 | 128 |
| 2 | 690 | 128 |
| 3 | 1868 | 128 |
| 4 | 4838 | 128 |
| 5 | 6582 | 128 |
| 6 | 7884 | 128 |
| 0 | 8191 | 113 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 216 to 89 computations (58.8% saved)
Compiled 338 to 90 computations (73.4% saved)
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