
Time bar (total: 3.3s)
| 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)
| 446.0ms | 8 256× | 0 | valid |
ival-mult: 115.0ms (50.4% of total)ival-add: 104.0ms (45.6% of total)ival-true: 6.0ms (2.6% of total)ival-assert: 3.0ms (1.3% 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 65 to 28 computations (56.9% saved)
ival-add: 5.0ms (55.2% of total)ival-mult: 3.0ms (33.1% 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 | 286 | 63 |
| 3 | 722 | 63 |
| 4 | 1753 | 63 |
| 5 | 2443 | 63 |
| 6 | 2580 | 63 |
| 7 | 2580 | 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 | 1 | (+.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 | 0.0 | (+.f64 z x) | |
| accuracy | 0.0078125 | (+.f64 x (*.f64 y (+.f64 z x))) | |
| accuracy | 0.01171875 | (*.f64 y (+.f64 z x)) |
| 11.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-add: 2.0ms (45.6% of total)ival-mult: 2.0ms (45.6% 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 | x | @ | 0 | ((+ 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 | z | @ | -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 | 70 | 149 |
| 1 | 249 | 131 |
| 2 | 749 | 131 |
| 3 | 2188 | 131 |
| 4 | 4746 | 131 |
| 5 | 6491 | 131 |
| 6 | 7625 | 131 |
| 0 | 8178 | 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 | 4297 | 15 |
| 0 | 8696 | 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) |
| ▶ | 99.2% | (fma.f64 z y (fma.f64 y x x)) |
| ▶ | 59.3% | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| ▶ | 44.3% | #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 | 1 | (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 | 0.0 | (+.f64 z x) | |
| accuracy | 0.00390625 | (fma.f64 (+.f64 z x) y x) | |
| accuracy | 0.0 | (fma.f64 y x x) | |
| accuracy | 0.5039007452111204 | (fma.f64 z y (fma.f64 y x x)) | |
| accuracy | 0.0 | (fma.f64 y x x) | |
| accuracy | 26.0587059593138 | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 35.66546565445933 | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
| 31.0ms | 256× | 0 | valid |
Compiled 118 to 27 computations (77.1% saved)
ival-add: 13.0ms (66.4% of total)ival-mult: 6.0ms (30.6% 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 | 718 | 128 |
| 3 | 1974 | 128 |
| 4 | 5118 | 128 |
| 5 | 7161 | 128 |
| 0 | 8102 | 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 | 8239 | 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 (+.f64 x (*.f64 z y))) |
(fma.f64 x (+.f64 #s(literal 1 binary64) y) (*.f64 z y)) |
(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) (+.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 6 996 to 785 computations (88.8% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 273 | 3 | 276 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 0 | 0 |
| Total | 274 | 6 | 280 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (+.f64 z x) y x) |
| ▶ | 65.7% | (fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x))) |
| ▶ | 66.4% | #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)) |
| ✓ | 59.3% | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| ✓ | 44.3% | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
| ▶ | 26.4% | #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 | 0.0 | (*.f64 y x) | |
| accuracy | 0.5039007452111204 | (fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x))) | |
| accuracy | 28.103761697145696 | #s(approx (+ (* y x) x) (*.f64 y x)) | |
| accuracy | 0.0 | (+.f64 z x) | |
| accuracy | 0.01171875 | (*.f64 (+.f64 z x) y) | |
| accuracy | 21.47140913717041 | #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 26.0587059593138 | #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) | |
| accuracy | 28.103761697145696 | #s(approx (+ (* y x) x) (*.f64 y x)) |
| 20.0ms | 256× | 0 | valid |
Compiled 143 to 30 computations (79% saved)
ival-mult: 6.0ms (54.3% of total)ival-add: 5.0ms (45.2% 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))) |
| 0.0ms | y | @ | 0 | ((+ 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 | 886 | 153 |
| 3 | 2369 | 153 |
| 4 | 4839 | 153 |
| 5 | 6375 | 153 |
| 6 | 7333 | 153 |
| 7 | 7788 | 153 |
| 0 | 8037 | 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 | 8258 | 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 (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) |
(*.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 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) (-.f64 (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) |
| ✓ | 65.7% | (fma.f64 z y #s(approx (+ (* y x) x) (*.f64 y x))) |
| ✓ | 66.4% | #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)) |
| ✓ | 59.3% | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| ✓ | 44.3% | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
| ✓ | 26.4% | #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:
| 24.0ms | x |
| 3.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| 3.0ms | z |
| 3.0ms | y |
| 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:
| 2.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.3% | 3 | x |
| 90.1% | 3 | y |
| 79.8% | 3 | z |
| 77.6% | 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))) (fma.f64 y x x)) |
#s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
2 calls:
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.1% | 3 | x |
| 70.4% | 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))) #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))) |
4 calls:
| 20.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.6% | 2 | y |
| 44.3% | 1 | (+.f64 x (*.f64 y (+.f64 z x))) |
| 55.9% | 3 | z |
| 56.5% | 3 | x |
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:
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.4% | 1 | (+.f64 x (*.f64 y (+.f64 z x))) |
| 26.4% | 1 | y |
| 26.4% | 1 | z |
| 26.4% | 1 | x |
Compiled 10 to 15 computations (-50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 6.317847019663037e-34 | 7.726210651409128e-31 |
| 14.0ms | -6.660701252366503e-16 | -3.953591962730162e-35 |
| 14.0ms | 288× | 0 | valid |
Compiled 496 to 372 computations (25% saved)
ival-add: 3.0ms (59.4% of total)ival-mult: 2.0ms (39.6% 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 |
|---|---|---|
| 12.0ms | 1.418812093328219e-211 | 3.2600602632616276e-208 |
| 4.0ms | -1.7454226106441719e-10 | -1.2363798729066344e-10 |
| 9.0ms | 176× | 0 | valid |
Compiled 263 to 210 computations (20.2% saved)
ival-add: 4.0ms (74.6% of total)ival-mult: 1.0ms (18.6% 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 |
|---|---|---|
| 7.0ms | 5.3629940316888425e-90 | 2.646780277843303e-89 |
| 11.0ms | -1966665097635968.0 | -4969927657.495315 |
| 9.0ms | 240× | 0 | valid |
Compiled 430 to 327 computations (24% saved)
ival-add: 2.0ms (49% of total)ival-mult: 2.0ms (49% 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 | 126 |
| 1 | 63 | 126 |
| 2 | 73 | 126 |
| 3 | 80 | 126 |
| 4 | 80 | 126 |
| 5 | 95 | 126 |
| 6 | 97 | 126 |
| 7 | 119 | 126 |
| 8 | 135 | 126 |
| 9 | 210 | 126 |
| 10 | 1419 | 126 |
| 11 | 2312 | 126 |
| 12 | 2932 | 126 |
| 13 | 3762 | 126 |
| 14 | 5002 | 126 |
| 15 | 7099 | 126 |
| 16 | 7882 | 126 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (+.f64 z x) y x) |
(if (<=.f64 y #s(literal -6693195169205051/40564819207303340847894502572032 binary64)) #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 7307508186654515/1461501637330902918203684832716283019655932542976 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 x #s(literal -5029131409596857/38685626227668133590597632 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 3701491575958035/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)))) |
(if (<=.f64 x #s(literal -275000000000000 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (if (<=.f64 x #s(literal 1863467625491933/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) #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))) #s(approx (+ (* y x) x) (*.f64 y x))) |
| Outputs |
|---|
(fma.f64 (+.f64 z x) y x) |
(if (<=.f64 y #s(literal -6693195169205051/40564819207303340847894502572032 binary64)) #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 7307508186654515/1461501637330902918203684832716283019655932542976 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 (or (<=.f64 y #s(literal -6693195169205051/40564819207303340847894502572032 binary64)) (not (<=.f64 y #s(literal 7307508186654515/1461501637330902918203684832716283019655932542976 binary64)))) #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 (+.f64 z x) y)) #s(approx (+ (* z y) (+ (* y x) x)) (fma.f64 y x x))) |
(if (<=.f64 x #s(literal -5029131409596857/38685626227668133590597632 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 3701491575958035/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)))) |
(if (or (<=.f64 x #s(literal -5029131409596857/38685626227668133590597632 binary64)) (not (<=.f64 x #s(literal 3701491575958035/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)))) #s(approx (+ (* z y) (+ (* y x) x)) (fma.f64 y x x)) #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 z y))) |
(if (<=.f64 x #s(literal -275000000000000 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (if (<=.f64 x #s(literal 1863467625491933/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) #s(approx (+ x (* y (+ z x))) (*.f64 z y)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))))) |
(if (or (<=.f64 x #s(literal -275000000000000 binary64)) (not (<=.f64 x #s(literal 1863467625491933/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)))) #s(approx (+ (* z y) (+ (* y x) x)) #s(approx (+ (* y x) x) (*.f64 y x))) #s(approx (+ (* z y) (+ (* y x) x)) (*.f64 z y))) |
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ (* z y) (+ (* y x) 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 | 4297 | 15 |
| 0 | 8696 | 14 |
| 0 | 70 | 149 |
| 1 | 249 | 131 |
| 2 | 749 | 131 |
| 3 | 2188 | 131 |
| 4 | 4746 | 131 |
| 5 | 6491 | 131 |
| 6 | 7625 | 131 |
| 0 | 8178 | 119 |
| 0 | 75 | 148 |
| 1 | 255 | 128 |
| 2 | 718 | 128 |
| 3 | 1974 | 128 |
| 4 | 5118 | 128 |
| 5 | 7161 | 128 |
| 0 | 8102 | 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 194 to 89 computations (54.1% saved)
Compiled 294 to 90 computations (69.4% saved)
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