
Time bar (total: 4.4s)
| 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)
| 474.0ms | 8 256× | 0 | valid |
ival-add: 148.0ms (68.3% of total)ival-mult: 58.0ms (26.8% of total)ival-true: 7.0ms (3.2% of total)ival-assert: 3.0ms (1.4% 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 |
| 37.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-add: 19.0ms (82.8% of total)ival-mult: 4.0ms (17.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 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 | 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 | 0.0 | (+.f64 z x) | |
| accuracy | 0.01171875 | (+.f64 x (*.f64 y (+.f64 z x))) | |
| accuracy | 0.015625 | (*.f64 y (+.f64 z x)) |
| 18.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-add: 3.0ms (64.9% of total)ival-mult: 2.0ms (43.2% 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 | 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) |
| ▶ | 97.7% | (fma.f64 y x (fma.f64 z y x)) |
| ▶ | 60.4% | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| ▶ | 41.2% | #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 z y x) | |
| cost-diff | 192 | (fma.f64 y x (fma.f64 z y 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: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 60 |
| 0 | 22 | 59 |
| 1 | 38 | 57 |
| 2 | 44 | 57 |
| 3 | 50 | 57 |
| 4 | 50 | 57 |
| 5 | 63 | 57 |
| 6 | 63 | 57 |
| 7 | 75 | 57 |
| 8 | 77 | 57 |
| 9 | 81 | 57 |
| 0 | 81 | 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 y x (fma.f64 z y x)) |
y |
x |
(fma.f64 z y x) |
z |
(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 y x (fma.f64 z y x)) |
(fma.f64 (+.f64 z x) y x) |
y |
x |
(fma.f64 z y x) |
z |
(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 | 0.01171875 | (fma.f64 (+.f64 z x) y x) | |
| accuracy | 0.0 | (fma.f64 z y x) | |
| accuracy | 1.4999834856333614 | (fma.f64 y x (fma.f64 z y x)) | |
| accuracy | 0.0 | (fma.f64 y x x) | |
| accuracy | 25.337372490286572 | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 37.630891373744234 | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
| 25.0ms | 256× | 0 | valid |
Compiled 118 to 29 computations (75.4% saved)
ival-add: 7.0ms (53.1% of total)ival-mult: 6.0ms (45.5% 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 y x (fma.f64 z y x)) |
(fma.f64 z y x) |
(fma.f64 (+.f64 z x) y x) |
(+.f64 z x) |
| Outputs |
|---|
(* y z) |
(+ (* x (+ 1 y)) (* y z)) |
(* x (+ 1 y)) |
(+ x (* y z)) |
z |
(+ x z) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ z x))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (* -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))) |
(* y (+ z (/ 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)))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(+ x (+ (* x y) (* y z))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (/ x z))) |
(* z (+ 1 (/ x z))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x z))))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | x | @ | inf | ((+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ (* y x) (+ (* z y) x)) (+ (* z y) x) (+ (* (+ z x) y) x) (+ z x)) |
| 1.0ms | x | @ | 0 | ((+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ (* y x) (+ (* z y) x)) (+ (* z y) x) (+ (* (+ z x) y) x) (+ z x)) |
| 1.0ms | y | @ | -inf | ((+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ (* y x) (+ (* z y) x)) (+ (* z y) x) (+ (* (+ z x) y) x) (+ z x)) |
| 1.0ms | x | @ | -inf | ((+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ (* y x) (+ (* z y) x)) (+ (* z y) x) (+ (* (+ z x) y) x) (+ z x)) |
| 1.0ms | z | @ | -inf | ((+ x (* y (+ z x))) (* z y) (+ x (* y (+ z x))) (+ (* y x) x) (+ (* y x) (+ (* z y) x)) (+ (* z y) x) (+ (* (+ z x) y) x) (+ z x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 183 |
| 1 | 301 | 163 |
| 2 | 841 | 163 |
| 3 | 2209 | 163 |
| 4 | 5326 | 163 |
| 5 | 7865 | 163 |
| 0 | 8124 | 141 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y z) |
(+ (* x (+ 1 y)) (* y z)) |
(* x (+ 1 y)) |
(+ x (* y z)) |
z |
(+ x z) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
x |
(* x (+ 1 (/ (* y z) x))) |
(* x (+ 1 (/ z x))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (* -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))) |
(* y (+ z (/ 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)))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(+ x (+ (* x y) (* y z))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* z (+ y (/ x z))) |
(* z (+ 1 (/ x z))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ x 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 z)) |
(fma.f64 z y x) |
z |
(+ x z) |
(+.f64 z x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
x |
(* x (+ 1 (/ (* y z) x))) |
(fma.f64 z 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 z) x)) 1))) |
(fma.f64 z 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) |
(* y (+ z (/ x y))) |
(fma.f64 z y 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) |
(* -1 (* y (+ (* -1 z) (* -1 (/ x y))))) |
(fma.f64 z 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 z))) |
(fma.f64 z 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 y) (* -1 (/ x z))))) |
(fma.f64 z y x) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(+.f64 z x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 50 |
| 0 | 22 | 49 |
| 1 | 106 | 47 |
| 2 | 822 | 47 |
| 0 | 8417 | 47 |
| 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 y x (fma.f64 z y x)) |
(fma.f64 z y 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 y) x))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y x)))) |
(*.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 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 (*.f64 y 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 (fma.f64 (*.f64 y y) x (neg.f64 x))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) (*.f64 (fma.f64 y x x) (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y 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 (*.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 y x x) (*.f64 (-.f64 (*.f64 y x) x) (pow.f64 (-.f64 (*.f64 y x) 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 x (fma.f64 (*.f64 y y) x (neg.f64 x))) #s(literal 1 binary64)) (-.f64 (*.f64 y x) x)) |
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x))))) |
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(/.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 y) x)))) (neg.f64 (-.f64 x (*.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 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 (*.f64 y y) x (-.f64 x (*.f64 y 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))) (*.f64 (-.f64 (*.f64 y x) x) (-.f64 (*.f64 y x) x))) |
(/.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 y) x))) (-.f64 x (*.f64 y x))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 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 (*.f64 y 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 y) x))))) |
(/.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 (fma.f64 (*.f64 y y) x (neg.f64 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 (*.f64 y y) x (-.f64 x (*.f64 y x))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (-.f64 (*.f64 y x) x))) |
(neg.f64 (/.f64 (neg.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 (*.f64 y y) x (-.f64 x (*.f64 y x)))))) |
(neg.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (neg.f64 (-.f64 (*.f64 y x) x)))) |
(neg.f64 (/.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 (*.f64 y y) x (-.f64 x (*.f64 y 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 z y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y (-.f64 z x))))) |
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(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (+.f64 z x) y))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (fma.f64 y (-.f64 x z) (neg.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 z y x) (+.f64 x (*.f64 y (-.f64 z x))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (+.f64 z x) y)) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 z x) y) (-.f64 (*.f64 (+.f64 z x) y) x) (*.f64 x x))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)))) (fma.f64 y (-.f64 x z) (neg.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 z y x) (+.f64 x (*.f64 y (-.f64 z x))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x))) (-.f64 (*.f64 (+.f64 z x) y) x))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)))) (-.f64 x (*.f64 (+.f64 z x) y)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 (+.f64 z x) y)) (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (+.f64 z x) y) (-.f64 (*.f64 (+.f64 z x) y) x) (*.f64 x x)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 z y x) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) x (fma.f64 z y x)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 z y x) (+.f64 x (*.f64 y (-.f64 z x))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (-.f64 (*.f64 (+.f64 z x) y) x)))) |
(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 (*.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) (-.f64 (*.f64 (+.f64 z x) y) x) (*.f64 x x))))) |
(fma.f64 (*.f64 (+.f64 z x) (*.f64 (-.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 (*.f64 (+.f64 z x) y) (-.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 (*.f64 x x) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))) (*.f64 y x)) |
(fma.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y x))) (*.f64 z y)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z))) x) |
(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 y (-.f64 x z))))) x) |
(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 y x) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (*.f64 y (-.f64 z x))))) x) |
(fma.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 z y) x))) (*.f64 y x)) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z 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 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (*.f64 y x)) |
(fma.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 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 (*.f64 y 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 z y x) (*.f64 y x)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 y x x) (*.f64 z y)) |
(fma.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (*.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) y) x) |
(fma.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (*.f64 z y) x) #s(literal -1 binary64)) (*.f64 y x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)) (*.f64 z y)) |
(fma.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) #s(literal -1 binary64)) y) x) |
(fma.f64 (fma.f64 x (-.f64 x (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (fma.f64 z y x) (pow.f64 (fma.f64 x (-.f64 x (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 y x)) |
(fma.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) x)))) (*.f64 y x)) |
(fma.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 z y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 y x)) |
(fma.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (+.f64 z x) y) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 z x) y) x)))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) (*.f64 (fma.f64 y x x) (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64))) (*.f64 z y)) |
(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 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y (-.f64 x z) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (fma.f64 y (-.f64 x z) (neg.f64 x))))) |
(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 (*.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64)) (*.f64 z y)) |
(fma.f64 (+.f64 z x) y x) |
(fma.f64 (fma.f64 z y x) (*.f64 (-.f64 (*.f64 z y) x) (pow.f64 (-.f64 (*.f64 z y) x) #s(literal -1 binary64))) (*.f64 y x)) |
(fma.f64 (fma.f64 y x x) (*.f64 (-.f64 (*.f64 y x) x) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) (*.f64 z y)) |
(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 x (+.f64 #s(literal 1 binary64) y) (*.f64 z y)) |
(fma.f64 x y (fma.f64 z y x)) |
(-.f64 (fma.f64 y x (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 z y) x))) |
(-.f64 (fma.f64 z y (/.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 (fma.f64 z y x) #s(literal 2 binary64)) (+.f64 x (*.f64 y (-.f64 z x)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (+.f64 x (*.f64 y (-.f64 z x))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y (-.f64 x z) (neg.f64 x))) (/.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (fma.f64 y (-.f64 x z) (neg.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) x)) (-.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 z y) x)) (*.f64 y x))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 z x) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 z x) y) 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 (/.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 z y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y (-.f64 x z) (neg.f64 x))) (neg.f64 (/.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (fma.f64 y (-.f64 x z) (neg.f64 x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z x) y) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 z x) y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 z x) y) 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 (+.f64 z x) y) x) |
(+.f64 (fma.f64 z y x) (*.f64 y x)) |
(+.f64 (fma.f64 y x x) (*.f64 z y)) |
(+.f64 (*.f64 z y) (fma.f64 y x 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 (fma.f64 x (-.f64 x z) (*.f64 z z)) (*.f64 (+.f64 z x) (pow.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) #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))) |
(*.f64 (+.f64 z x) (*.f64 (-.f64 z x) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) #s(literal 1 binary64)) (-.f64 z x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(/.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 (*.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 6 967 to 802 computations (88.5% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 280 | 2 | 282 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 0 | 0 |
| Total | 280 | 6 | 286 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (+.f64 z x) y x) |
| ✓ | 97.7% | (fma.f64 y x (fma.f64 z y x)) |
| ▶ | 67.0% | #s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y)) |
| ✓ | 60.4% | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| ✓ | 41.2% | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
| ▶ | 28.6% | #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
Compiled 68 to 47 computations (30.9% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | (*.f64 (+.f64 z x) y) | |
| cost-diff | 0 | #s(approx (+ (* y x) (+ (* z y) 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 | 57 |
| 0 | 20 | 57 |
| 1 | 36 | 55 |
| 2 | 43 | 55 |
| 3 | 49 | 55 |
| 4 | 49 | 55 |
| 5 | 62 | 55 |
| 6 | 62 | 55 |
| 7 | 74 | 55 |
| 8 | 76 | 55 |
| 9 | 80 | 55 |
| 0 | 80 | 51 |
| 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 (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y)) |
(*.f64 (+.f64 z x) y) |
(+.f64 z x) |
z |
x |
y |
| 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 (+ (* y x) (+ (* z y) 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 |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 z x) | |
| accuracy | 0.015625 | (*.f64 (+.f64 z x) y) | |
| accuracy | 21.113172315487837 | #s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 25.337372490286572 | #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) | |
| accuracy | 30.905017155055404 | #s(approx (+ (* y x) x) (*.f64 y x)) |
| 23.0ms | 256× | 0 | valid |
Compiled 96 to 31 computations (67.7% saved)
ival-mult: 8.0ms (59.3% of total)ival-add: 6.0ms (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))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ (* y x) x) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y)) |
(*.f64 (+.f64 z x) y) |
(+.f64 z 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) (+ (* y x) (+ (* z y) x)) (* (+ z x) y) (+ z x)) |
| 1.0ms | x | @ | -inf | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* y x) (+ (* z y) x)) (* (+ z x) y) (+ z x)) |
| 1.0ms | x | @ | inf | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* y x) (+ (* z y) x)) (* (+ z x) y) (+ z x)) |
| 1.0ms | y | @ | inf | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* y x) (+ (* z y) x)) (* (+ z x) y) (+ z x)) |
| 0.0ms | y | @ | 0 | ((+ x (* y (+ z x))) (+ (* y x) x) (* y x) (+ (* y x) (+ (* z y) x)) (* (+ z x) y) (+ z 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 | 52 |
| 0 | 20 | 52 |
| 1 | 89 | 50 |
| 2 | 732 | 50 |
| 0 | 8277 | 46 |
| 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 (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y)) |
(*.f64 (+.f64 z x) y) |
(+.f64 z 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 (*.f64 y y) (*.f64 (+.f64 z x) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x z)))) |
(*.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 y (-.f64 x z)))))) |
(*.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 y x) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (*.f64 y (-.f64 z x)))))) |
(*.f64 (+.f64 z x) y) |
(*.f64 y (+.f64 z x)) |
(/.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 (*.f64 y y) (*.f64 (+.f64 z x) (-.f64 x z)))) (neg.f64 (*.f64 y (-.f64 x z)))) |
(/.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 y (-.f64 x z)))))) |
(/.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 y x) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (*.f64 y (-.f64 z x)))))) |
(/.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 (*.f64 y y) (*.f64 (+.f64 z x) (-.f64 x z))) (*.f64 y (-.f64 x z))) |
(/.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 y (-.f64 x z))))) |
(/.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 y x) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (*.f64 y (-.f64 z x))))) |
(/.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 y (-.f64 x z)) (*.f64 (*.f64 y y) (*.f64 (+.f64 z x) (-.f64 x z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (*.f64 y (-.f64 x z)))) (*.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 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (*.f64 y (-.f64 z x)))) (*.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 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 x z))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 y (-.f64 x z)))) |
(+.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) |
Compiled 2 480 to 361 computations (85.4% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 93 | 1 | 94 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 1 | 3 | 4 |
| Total | 94 | 6 | 100 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (+.f64 z x) y x) |
| ▶ | 64.7% | #s(approx (+ (* y x) (+ (* z y) x)) (fma.f64 y x (*.f64 z y))) |
| ✓ | 67.0% | #s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y)) |
| ✓ | 60.4% | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| ✓ | 41.2% | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
| ✓ | 28.6% | #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
Compiled 77 to 52 computations (32.5% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (+ (* y x) (+ (* z y) x)) (fma.f64 y x (*.f64 z y))) | |
| cost-diff | 192 | (fma.f64 y x (*.f64 z y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 0 | 12 | 27 |
| 1 | 18 | 24 |
| 2 | 28 | 24 |
| 3 | 32 | 24 |
| 4 | 36 | 24 |
| 5 | 42 | 24 |
| 6 | 42 | 24 |
| 7 | 55 | 24 |
| 8 | 55 | 24 |
| 9 | 67 | 24 |
| 10 | 69 | 24 |
| 11 | 73 | 24 |
| 0 | 73 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* y x) (+ (* z y) x)) (fma.f64 y x (*.f64 z y))) |
(fma.f64 y x (*.f64 z y)) |
y |
x |
(*.f64 z y) |
z |
| Outputs |
|---|
#s(approx (+ (* y x) (+ (* z y) x)) (fma.f64 y x (*.f64 z y))) |
#s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y)) |
(fma.f64 y x (*.f64 z y)) |
(*.f64 (+.f64 z x) y) |
y |
x |
(*.f64 z y) |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 1.5038897356333614 | (fma.f64 y x (*.f64 z y)) | |
| accuracy | 21.113172315487837 | #s(approx (+ (* y x) (+ (* z y) x)) (fma.f64 y x (*.f64 z y))) |
| 56.0ms | 256× | 0 | valid |
Compiled 52 to 20 computations (61.5% saved)
ival-mult: 31.0ms (89.3% of total)ival-add: 3.0ms (8.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 y x (*.f64 z y)) |
#s(approx (+ (* y x) (+ (* z y) x)) (fma.f64 y x (*.f64 z y))) |
(*.f64 z y) |
| Outputs |
|---|
(* y z) |
(+ (* x y) (* y z)) |
(+ (* x (+ 1 y)) (* y z)) |
(* x y) |
(* x (+ y (/ (* y z) x))) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* y (+ x z)) |
x |
(+ x (* y (+ x z))) |
(* y (+ x (+ z (/ x y)))) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y)))))) |
(+ x (* x y)) |
(+ x (+ (* x y) (* y z))) |
(* z (+ y (/ (* x y) z))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | ((+ (* y x) (* z y)) (+ (* y x) (+ (* z y) x)) (* z y)) |
| 1.0ms | y | @ | -inf | ((+ (* y x) (* z y)) (+ (* y x) (+ (* z y) x)) (* z y)) |
| 0.0ms | z | @ | -inf | ((+ (* y x) (* z y)) (+ (* y x) (+ (* z y) x)) (* z y)) |
| 0.0ms | y | @ | inf | ((+ (* y x) (* z y)) (+ (* y x) (+ (* z y) x)) (* z y)) |
| 0.0ms | x | @ | -inf | ((+ (* y x) (* z y)) (+ (* y x) (+ (* z y) x)) (* z y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 138 |
| 1 | 219 | 120 |
| 2 | 683 | 120 |
| 3 | 1892 | 120 |
| 4 | 4872 | 120 |
| 5 | 7359 | 120 |
| 0 | 8107 | 108 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y z) |
(+ (* x y) (* y z)) |
(+ (* x (+ 1 y)) (* y z)) |
(* x y) |
(* x (+ y (/ (* y z) x))) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(* y (+ x z)) |
x |
(+ x (* y (+ x z))) |
(* y (+ x (+ z (/ x y)))) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ x y)))))) |
(+ x (* x y)) |
(+ x (+ (* x y) (* y z))) |
(* z (+ y (/ (* x y) z))) |
(* z (+ y (+ (/ x z) (/ (* x y) z)))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* x y)) z))))) |
| Outputs |
|---|
(* y z) |
(*.f64 z y) |
(+ (* x y) (* y z)) |
(*.f64 (+.f64 z x) y) |
(+ (* x (+ 1 y)) (* y z)) |
(fma.f64 (+.f64 z x) y x) |
(* x y) |
(*.f64 x y) |
(* x (+ y (/ (* y z) x))) |
(*.f64 (+.f64 z x) y) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 (+ y (/ (* y z) x)))) |
(fma.f64 (+.f64 z x) y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (* y z) x))))) |
(*.f64 (+.f64 z x) y) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 x y x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x z)) |
(*.f64 (+.f64 z x) y) |
x |
(+ x (* y (+ x z))) |
(fma.f64 (+.f64 z x) y x) |
(* y (+ x (+ z (/ x y)))) |
(fma.f64 (+.f64 z x) y 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)) |
(fma.f64 x y x) |
(+ x (+ (* x y) (* y z))) |
(fma.f64 (+.f64 z x) y x) |
(* z (+ y (/ (* x y) z))) |
(*.f64 (+.f64 z x) y) |
(* z (+ y (+ (/ x z) (/ (* 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 y) (* -1 (/ (+ x (* x y)) z))))) |
(fma.f64 (+.f64 z x) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 0 | 12 | 24 |
| 1 | 51 | 21 |
| 2 | 462 | 21 |
| 3 | 7204 | 21 |
| 0 | 8465 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x (*.f64 z y)) |
#s(approx (+ (* y x) (+ (* z y) x)) (fma.f64 y x (*.f64 z y))) |
(*.f64 z y) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 y y) z) (+.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y y) z) (-.f64 z x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y y) z) (-.f64 z x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) z) (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) z) (-.f64 z x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) z) (-.f64 z x)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (*.f64 (+.f64 z x) y)) |
(*.f64 (/.f64 (*.f64 (+.f64 z x) y) y) (/.f64 (*.f64 (-.f64 x z) y) (-.f64 x z))) |
(*.f64 (+.f64 z x) y) |
(*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x)))) |
(*.f64 (pow.f64 (*.f64 (-.f64 x z) y) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) y)) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (-.f64 x z)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 z x) y) (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 z x) y) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 z x) y) (/.f64 (*.f64 (-.f64 x z) y) (*.f64 (-.f64 x z) y))) |
(*.f64 (*.f64 (+.f64 z x) y) (*.f64 (*.f64 (-.f64 x z) y) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal -1 binary64)))) |
(*.f64 y (+.f64 z x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) y) (-.f64 x z)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 z y) #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal -1 binary64))) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 z z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 z y) #s(literal 6 binary64))) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 z z))) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 z y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 9 binary64)) (pow.f64 (*.f64 x y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 z y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) z) x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y) (-.f64 x z)) (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y) (-.f64 x z))) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))) (+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y) (-.f64 x z)) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y) (-.f64 x z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y) (-.f64 x z)) (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y) (-.f64 x z)) (fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y) (-.f64 x z)) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (*.f64 y (-.f64 z x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (neg.f64 (*.f64 (neg.f64 y) (-.f64 x z)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 z y) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 z z))) (*.f64 (-.f64 x z) y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 z y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 z z))) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (*.f64 (-.f64 x z) y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 z y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 9 binary64)) (pow.f64 (*.f64 x y) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 z y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) z) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x z) y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (-.f64 x z) y)) (*.f64 (*.f64 (-.f64 x z) y) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (*.f64 (*.f64 (-.f64 x z) y) (*.f64 (-.f64 x z) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 z y) #s(literal 4 binary64))) (*.f64 (*.f64 (-.f64 x z) y) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 z z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 z y) #s(literal 6 binary64))) (*.f64 (*.f64 (-.f64 x z) y) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 z z))) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 z y) #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 y (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 z x)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 9 binary64)) (pow.f64 (*.f64 x y) #s(literal 9 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (*.f64 z y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y y) z) x) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (-.f64 x z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (-.f64 x z) y)) |
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (*.f64 (-.f64 x z) y))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (-.f64 x z)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) z) (-.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 y y) z) (+.f64 z x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (*.f64 (+.f64 z x) y) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) x) y) (/.f64 x (-.f64 x z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) y) y) (/.f64 y (-.f64 x z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))) |
(fma.f64 (/.f64 (*.f64 y y) y) (/.f64 (*.f64 x x) (-.f64 x z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))) |
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 y y) (-.f64 x z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))) |
(fma.f64 (/.f64 (*.f64 x y) y) (/.f64 (*.f64 x y) (-.f64 x z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))) |
(fma.f64 (/.f64 x y) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 x z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))) |
(fma.f64 (/.f64 y y) (/.f64 (*.f64 (*.f64 x x) y) (-.f64 x z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))) |
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 x (*.f64 (-.f64 x z) y)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))) |
(fma.f64 (*.f64 (*.f64 x x) y) (/.f64 y (*.f64 (-.f64 x z) y)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (*.f64 (-.f64 x z) y)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 x z) y)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))) |
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 x z) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))) |
(fma.f64 (*.f64 x y) (/.f64 (*.f64 x y) (*.f64 (-.f64 x z) y)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))) |
(fma.f64 z y (*.f64 x y)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 y y) x) (*.f64 (-.f64 x z) y)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))) |
(fma.f64 x y (*.f64 z y)) |
(fma.f64 y (/.f64 (*.f64 (*.f64 x x) y) (*.f64 (-.f64 x z) y)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))) |
(fma.f64 y z (*.f64 x y)) |
(fma.f64 y x (*.f64 z y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 y (-.f64 z x))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 z x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y) (-.f64 x z)) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y) (-.f64 x z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) y) (-.f64 x z)))) |
(+.f64 (*.f64 x y) (*.f64 z y)) |
(+.f64 (*.f64 z y) (*.f64 x y)) |
#s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y)) |
(*.f64 z y) |
(*.f64 y z) |
Compiled 3 053 to 331 computations (89.2% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 88 | 0 | 88 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 88 | 6 | 94 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (+.f64 z x) y x) |
| ✓ | 64.7% | #s(approx (+ (* y x) (+ (* z y) x)) (fma.f64 y x (*.f64 z y))) |
| ✓ | 67.0% | #s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y)) |
| ✓ | 60.4% | #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
| ✓ | 41.2% | #s(approx (+ x (* y (+ z x))) (*.f64 z y)) |
| ✓ | 28.6% | #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
Compiled 168 to 80 computations (52.4% 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 (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y)) |
(fma.f64 (+.f64 z x) y x) |
#s(approx (+ (* y x) (+ (* z y) x)) (fma.f64 y x (*.f64 z y))) |
(+.f64 x (*.f64 y (+.f64 z x))) |
(fma.f64 y x (fma.f64 z y x)) |
| Outputs |
|---|
(fma.f64 (+.f64 z x) y x) |
4 calls:
| 11.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (+.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 (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y)) |
| Outputs |
|---|
#s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y)) |
#s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) |
#s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y)) |
4 calls:
| 2.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.5% | 3 | x |
| 84.5% | 3 | y |
| 82.0% | 3 | z |
| 75.4% | 3 | (+.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)) |
3 calls:
| 5.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.1% | 3 | x |
| 75.4% | 3 | z |
| 66.0% | 2 | y |
Compiled 3 to 9 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:
| 1.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.5% | 2 | y |
| 54.1% | 3 | z |
| 42.8% | 2 | (+.f64 x (*.f64 y (+.f64 z x))) |
| 54.4% | 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 | (+.f64 x (*.f64 y (+.f64 z x))) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.6% | 1 | (+.f64 x (*.f64 y (+.f64 z x))) |
| 28.6% | 1 | y |
| 28.6% | 1 | z |
| 28.6% | 1 | x |
Compiled 10 to 15 computations (-50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 5.30039157838784e-23 | 4.782285394868172e-21 |
| 35.0ms | -0.003162635868079689 | -1.978291237829337e-5 |
| 35.0ms | 224× | 0 | valid |
Compiled 388 to 292 computations (24.7% saved)
ival-add: 2.0ms (51.3% of total)ival-mult: 1.0ms (25.7% 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 |
|---|---|---|
| 6.0ms | 9.52829754935118e-63 | 3.246844195249092e-62 |
| 11.0ms | -8.995250919471408e-90 | -1.2184184251968625e-96 |
| 9.0ms | 224× | 0 | valid |
Compiled 332 to 264 computations (20.5% saved)
ival-add: 2.0ms (48.7% of total)ival-mult: 2.0ms (48.7% 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 | 0.04731502707080475 | 0.6345806091640839 |
| 13.0ms | -1.9207715147980305e+128 | -3.343908365060345e+124 |
| 13.0ms | 224× | 0 | valid |
Compiled 402 to 306 computations (23.9% saved)
ival-mult: 5.0ms (64.9% of total)ival-add: 2.0ms (26% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 128 |
| 1 | 65 | 126 |
| 2 | 72 | 126 |
| 3 | 78 | 126 |
| 4 | 78 | 126 |
| 5 | 93 | 126 |
| 6 | 95 | 126 |
| 7 | 117 | 126 |
| 8 | 133 | 126 |
| 9 | 208 | 126 |
| 10 | 1417 | 126 |
| 11 | 2310 | 126 |
| 12 | 2930 | 126 |
| 13 | 3760 | 126 |
| 14 | 5000 | 126 |
| 15 | 7097 | 126 |
| 16 | 7880 | 126 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (+.f64 z x) y x) |
(if (<=.f64 y #s(literal -5902958103587057/73786976294838206464 binary64)) #s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 7656353255721115/10633823966279326983230456482242756608 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y)))) |
(if (<=.f64 x #s(literal -6651145986371207/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 7410693711188237/231584178474632390847141970017375815706539969331281128078915168015826259279872 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 -39000000000000000451744022335042247820094223300204019417112683344767087617554927043904372421786047084036229952199498125017088 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (if (<=.f64 x #s(literal 5584463537939415/9007199254740992 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 -5902958103587057/73786976294838206464 binary64)) #s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y)) (if (<=.f64 y #s(literal 7656353255721115/10633823966279326983230456482242756608 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) #s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y)))) |
(if (or (<=.f64 y #s(literal -5902958103587057/73786976294838206464 binary64)) (not (<=.f64 y #s(literal 7656353255721115/10633823966279326983230456482242756608 binary64)))) #s(approx (+ (* y x) (+ (* z y) x)) (*.f64 (+.f64 z x) y)) #s(approx (+ (* y x) (+ (* z y) x)) (fma.f64 y x x))) |
(if (<=.f64 x #s(literal -6651145986371207/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) #s(approx (+ x (* y (+ z x))) (fma.f64 y x x)) (if (<=.f64 x #s(literal 7410693711188237/231584178474632390847141970017375815706539969331281128078915168015826259279872 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 -6651145986371207/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) (not (<=.f64 x #s(literal 7410693711188237/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)))) #s(approx (+ (* y x) (+ (* z y) x)) (fma.f64 y x x)) #s(approx (+ (* y x) (+ (* z y) x)) (*.f64 z y))) |
(if (<=.f64 x #s(literal -39000000000000000451744022335042247820094223300204019417112683344767087617554927043904372421786047084036229952199498125017088 binary64)) #s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) (if (<=.f64 x #s(literal 5584463537939415/9007199254740992 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 -39000000000000000451744022335042247820094223300204019417112683344767087617554927043904372421786047084036229952199498125017088 binary64)) (not (<=.f64 x #s(literal 5584463537939415/9007199254740992 binary64)))) #s(approx (+ (* y x) (+ (* z y) x)) #s(approx (+ (* y x) x) (*.f64 y x))) #s(approx (+ (* y x) (+ (* z y) x)) (*.f64 z y))) |
#s(approx (+ x (* y (+ z x))) #s(approx (+ (* y x) x) (*.f64 y x))) |
#s(approx (+ (* y x) (+ (* z y) x)) #s(approx (+ (* y x) x) (*.f64 y x))) |
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 |
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 41 | 15 |
| 2 | 351 | 15 |
| 3 | 4297 | 15 |
| 0 | 8696 | 14 |
| 0 | 89 | 183 |
| 1 | 301 | 163 |
| 2 | 841 | 163 |
| 3 | 2209 | 163 |
| 4 | 5326 | 163 |
| 5 | 7865 | 163 |
| 0 | 8124 | 141 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 194 to 90 computations (53.6% saved)
Compiled 294 to 92 computations (68.7% saved)
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