
Time bar (total: 4.1s)
| 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 11 to 10 computations (9.1% saved)
| 642.0ms | 8 256× | 0 | valid |
ival-div: 167.0ms (47.6% of total)ival-add: 94.0ms (26.8% of total)ival-mult: 75.0ms (21.4% of total)ival-true: 6.0ms (1.7% of total)exact: 5.0ms (1.4% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 0 | 0 | - | 0 | - | (*.f64 y x) |
| 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 |
| 47.0ms | 512× | 0 | valid |
Compiled 91 to 36 computations (60.4% saved)
ival-add: 8.0ms (36.2% of total)ival-mult: 7.0ms (31.7% of total)ival-div: 6.0ms (27.2% of total)ival-true: 1.0ms (4.5% of total)exact: 1.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 88 |
| 1 | 88 | 82 |
| 2 | 232 | 81 |
| 3 | 662 | 69 |
| 4 | 1224 | 65 |
| 5 | 1787 | 63 |
| 6 | 2262 | 63 |
| 7 | 2494 | 63 |
| 8 | 2544 | 63 |
| 9 | 2552 | 63 |
| 10 | 2552 | 63 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 17 | 9 |
| 2 | 24 | 9 |
| 3 | 26 | 9 |
| 0 | 26 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| Outputs |
|---|
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
(+.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (/.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) | |
| cost-diff | 128 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 0 | 12 | 26 |
| 1 | 17 | 26 |
| 2 | 24 | 26 |
| 3 | 26 | 26 |
| 0 | 26 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 y x) |
y |
z |
| Outputs |
|---|
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
(+.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) |
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
(fma.f64 y x (/.f64 x #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 y x) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 x #s(literal 2 binary64)) | |
| accuracy | 0.0 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 0.015625 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 14.0ms | 256× | 0 | valid |
Compiled 54 to 18 computations (66.7% saved)
ival-div: 2.0ms (30.8% of total)ival-add: 2.0ms (30.8% of total)ival-mult: 2.0ms (30.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
(/.f64 x #s(literal 2 binary64)) |
(*.f64 y x) |
| Outputs |
|---|
(* x (+ 1/2 y)) |
z |
(+ z (* x (+ 1/2 y))) |
(* 1/2 x) |
(* x y) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(+ (* 1/2 x) (* x y)) |
(+ z (* 1/2 x)) |
(+ z (+ (* 1/2 x) (* x y))) |
(* y (+ x (* 1/2 (/ x y)))) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 192.0ms | x | @ | inf | ((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x)) |
| 1.0ms | x | @ | -inf | ((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x)) |
| 1.0ms | z | @ | 0 | ((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x)) |
| 1.0ms | x | @ | 0 | ((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x)) |
| 1.0ms | y | @ | -inf | ((+ (/ x 2) (* y x)) (+ (+ (/ x 2) (* y x)) z) (/ x 2) (* y x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 93 |
| 1 | 174 | 93 |
| 2 | 494 | 93 |
| 3 | 1335 | 93 |
| 4 | 3762 | 93 |
| 5 | 6914 | 93 |
| 0 | 8109 | 84 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1/2 y)) |
z |
(+ z (* x (+ 1/2 y))) |
(* 1/2 x) |
(* x y) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(+ (* 1/2 x) (* x y)) |
(+ z (* 1/2 x)) |
(+ z (+ (* 1/2 x) (* x y))) |
(* y (+ x (* 1/2 (/ x y)))) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
| Outputs |
|---|
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
z |
(+ z (* x (+ 1/2 y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1/2 (+ y (/ z x)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (- (* -1 y) 1/2))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ (* 1/2 x) (* x y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(+ z (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* y (+ x (* 1/2 (/ x y)))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 0 | 12 | 22 |
| 1 | 52 | 18 |
| 2 | 452 | 18 |
| 3 | 6130 | 18 |
| 0 | 8093 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
(/.f64 x #s(literal 2 binary64)) |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 y x) x) (+.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4 binary64)) (pow.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) y)) |
(pow.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 y y))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/512 binary64) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)) #s(literal 8 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)))) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))) (fma.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) (fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) x) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))) (neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)))) |
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(fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4 binary64)) (pow.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 x (-.f64 y #s(literal 1/2 binary64))))) z) |
(fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 y x)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4 binary64))) z) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z) |
(fma.f64 (*.f64 #s(literal 1 binary64) y) x (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (fma.f64 y x z)) |
(fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) x) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (-.f64 #s(literal 1/2 binary64) y)) z) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
(fma.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)) z) |
(fma.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 z z)) (pow.f64 (fma.f64 y x (neg.f64 z)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (fma.f64 y x z)) |
(fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) z) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) z) |
(fma.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) z) |
(fma.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)) z) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x) (fma.f64 y x z)) |
(fma.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)) z) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1 binary64)) (fma.f64 y x z)) |
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 y x z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y x z)) |
(fma.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) z) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) z) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) z) |
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (fma.f64 y x z)) |
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))))) |
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)) z) |
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))) z) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (fma.f64 y x z)) |
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z) |
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y x z)) |
(fma.f64 x y (fma.f64 #s(literal 1/2 binary64) x z)) |
(-.f64 (+.f64 z (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)))) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) z)) (/.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) z))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)))) |
(-.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) (-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) z)) |
(-.f64 (fma.f64 y x z) (*.f64 #s(literal -1/2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 y x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))))) |
(+.f64 (fma.f64 y x z) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z) |
(+.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x z)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y x z)) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (neg.f64 x) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 (neg.f64 x) #s(literal -2 binary64)) |
(/.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) y) x) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
Compiled 5 823 to 755 computations (87% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 245 | 2 | 247 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 246 | 2 | 248 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
| ▶ | 68.4% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
Compiled 20 to 17 computations (15% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) x z) | |
| cost-diff | 0 | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 34 |
| 0 | 18 | 34 |
| 1 | 28 | 34 |
| 2 | 37 | 34 |
| 3 | 43 | 34 |
| 0 | 43 | 33 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 #s(literal 1/2 binary64) x z) |
#s(literal 1/2 binary64) |
x |
z |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
(+.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
z |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 #s(literal 1/2 binary64) x z) |
#s(literal 1/2 binary64) |
x |
z |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
(+.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) | |
| accuracy | 0.0 | (+.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/2 binary64) x z) | |
| accuracy | 20.248155287004117 | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| 24.0ms | 256× | 0 | valid |
Compiled 67 to 29 computations (56.7% saved)
ival-add: 8.0ms (51.9% of total)ival-mult: 5.0ms (32.4% of total)ival-div: 2.0ms (13% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 #s(literal 1/2 binary64) x z) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
(+.f64 #s(literal 1/2 binary64) y) |
| Outputs |
|---|
z |
(+ z (* x (+ 1/2 y))) |
(+ z (* 1/2 x)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ z x))) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x))))) |
(+ z (+ (* 1/2 x) (* x y))) |
1/2 |
(+ 1/2 y) |
(* x y) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(+ (* 1/2 x) (* x y)) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* z (+ 1 (* 1/2 (/ x z)))) |
(* z (+ 1 (/ (* x (+ 1/2 y)) z))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | x | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (* (+ 1/2 y) x) z) (+ 1/2 y)) |
| 1.0ms | y | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (* (+ 1/2 y) x) z) (+ 1/2 y)) |
| 0.0ms | y | @ | inf | ((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (* (+ 1/2 y) x) z) (+ 1/2 y)) |
| 0.0ms | x | @ | 0 | ((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (* (+ 1/2 y) x) z) (+ 1/2 y)) |
| 0.0ms | z | @ | inf | ((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (* (+ 1/2 y) x) z) (+ 1/2 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 132 |
| 1 | 247 | 132 |
| 2 | 645 | 132 |
| 3 | 1846 | 132 |
| 4 | 4800 | 132 |
| 5 | 7242 | 132 |
| 0 | 8225 | 116 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
z |
(+ z (* x (+ 1/2 y))) |
(+ z (* 1/2 x)) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ z x))) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x))))) |
(+ z (+ (* 1/2 x) (* x y))) |
1/2 |
(+ 1/2 y) |
(* x y) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(+ (* 1/2 x) (* x y)) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* z (+ 1 (* 1/2 (/ x z)))) |
(* z (+ 1 (/ (* x (+ 1/2 y)) z))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1))) |
| Outputs |
|---|
z |
(+ z (* x (+ 1/2 y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x z) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 (+ y (/ z x)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (/ z x))) |
(fma.f64 #s(literal 1/2 binary64) x z) |
(* -1 (* x (- (* -1 y) 1/2))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(fma.f64 #s(literal 1/2 binary64) x z) |
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x))))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 y) |
(-.f64 y #s(literal -1/2 binary64)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(-.f64 y #s(literal -1/2 binary64)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ (* 1/2 x) (* x y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (* 1/2 (/ x z)))) |
(fma.f64 #s(literal 1/2 binary64) x z) |
(* z (+ 1 (/ (* x (+ 1/2 y)) z))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
(fma.f64 #s(literal 1/2 binary64) x z) |
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 27 |
| 0 | 18 | 27 |
| 1 | 102 | 24 |
| 2 | 830 | 24 |
| 0 | 8903 | 24 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 #s(literal 1/2 binary64) x z) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
(+.f64 #s(literal 1/2 binary64) y) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
(*.f64 (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 z) z)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x z)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x z) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 z) z)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))) (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (fma.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))))) |
(/.f64 (neg.f64 (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 z) z)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z) (*.f64 z z))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))) |
(/.f64 (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (-.f64 z (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 z) z))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x z)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 z) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x z))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 z) z))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 z) z)) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))) |
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) z) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x) z) |
(fma.f64 #s(literal 1 binary64) z (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) z) |
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))) |
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) z) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) z) |
(fma.f64 #s(literal 1/2 binary64) x z) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) z) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))) |
(-.f64 z (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))) |
(+.f64 z (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) z) |
(*.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 y x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 y x z) (-.f64 (fma.f64 y x z) (*.f64 #s(literal 1/2 binary64) x)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 z z)) (pow.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)) |
(*.f64 (fma.f64 z (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (pow.f64 (fma.f64 z (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)))))) |
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 z (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)) (pow.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) y)) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 z (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (pow.f64 (fma.f64 z (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) y)) x) #s(literal 3 binary64)))) |
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(fma.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y))) z) |
(fma.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))))) z) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x) (fma.f64 y x z)) |
(fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) x) z) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 z) z)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z) #s(literal -1 binary64)) (*.f64 y x)) |
(fma.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (pow.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) z) |
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 y x)) |
(fma.f64 #s(literal 1 binary64) z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y x z)) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) x) z) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x z) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64))) (*.f64 y x)) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)))) (*.f64 y x)) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)) (*.f64 y x)) |
(fma.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (pow.f64 (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64))) z) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) y)))) z) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) z) |
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (fma.f64 y x z)) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z) #s(literal -1 binary64))) (*.f64 y x)) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 y x z)) |
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 y x z)) |
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))) z) |
(fma.f64 y x (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (fma.f64 y x z)) |
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z) |
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 y x z)) |
(fma.f64 x y (fma.f64 #s(literal 1/2 binary64) x z)) |
(-.f64 (+.f64 z (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) |
(-.f64 (fma.f64 y x (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (-.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z)) (/.f64 (pow.f64 (fma.f64 y x z) #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (-.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (*.f64 y x))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))) (/.f64 (*.f64 z z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z)))) |
(-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) z)) |
(-.f64 (fma.f64 y x z) (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x (neg.f64 z))))) |
(+.f64 (fma.f64 y x z) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x z) (*.f64 y x)) |
(+.f64 z (*.f64 (+.f64 #s(literal 1/2 binary64) y) x)) |
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) y) x) z) |
(+.f64 (*.f64 y x) (fma.f64 #s(literal 1/2 binary64) x z)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 y x z)) |
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) y))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 y y))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)))))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1/4 binary64))) (neg.f64 (-.f64 y #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 y #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) (fma.f64 y y #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (-.f64 #s(literal 1/2 binary64) y))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (neg.f64 (-.f64 #s(literal 1/2 binary64) y)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) |
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y))) |
(+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)))) |
(+.f64 #s(literal 1/2 binary64) y) |
(+.f64 y #s(literal 1/2 binary64)) |
Compiled 5 545 to 752 computations (86.4% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 228 | 3 | 231 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 0 | 0 |
| Total | 228 | 5 | 233 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
| ✓ | 68.4% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ▶ | 55.4% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
| ▶ | 34.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| ▶ | 24.1% | #s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
Compiled 67 to 54 computations (19.4% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | #s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 77 |
| 0 | 24 | 77 |
| 1 | 34 | 77 |
| 2 | 43 | 77 |
| 3 | 46 | 77 |
| 0 | 46 | 72 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(-.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
x |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(-.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
x |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 y #s(literal -1/2 binary64)) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) | |
| accuracy | 28.568128474465208 | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) | |
| accuracy | 0.0 | (*.f64 y x) | |
| accuracy | 42.23085330240215 | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 20.248155287004117 | #s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) | |
| accuracy | 33.49548500028508 | #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) |
| 31.0ms | 256× | 0 | valid |
Compiled 132 to 37 computations (72% saved)
ival-div: 11.0ms (51.8% of total)ival-mult: 5.0ms (23.5% of total)ival-add: 3.0ms (14.1% of total)ival-sub: 1.0ms (4.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(-.f64 y #s(literal -1/2 binary64)) |
| Outputs |
|---|
z |
(+ z (* x (+ 1/2 y))) |
(+ z (* 1/2 x)) |
(* 1/2 x) |
(* x y) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 (/ z x))) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ (* 1/2 x) (* x y)) |
1/2 |
(+ 1/2 y) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* y (+ x (* 1/2 (/ x y)))) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* z (+ 1 (* 1/2 (/ x z)))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (* 1/2 x) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2)) |
| 1.0ms | x | @ | inf | ((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (* 1/2 x) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2)) |
| 1.0ms | x | @ | 0 | ((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (* 1/2 x) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2)) |
| 1.0ms | y | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (* 1/2 x) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2)) |
| 0.0ms | y | @ | inf | ((+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (* 1/2 x) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 121 |
| 1 | 223 | 121 |
| 2 | 605 | 121 |
| 3 | 1786 | 121 |
| 4 | 3968 | 121 |
| 5 | 6029 | 121 |
| 6 | 7472 | 121 |
| 0 | 8017 | 108 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
z |
(+ z (* x (+ 1/2 y))) |
(+ z (* 1/2 x)) |
(* 1/2 x) |
(* x y) |
(* x (+ 1/2 y)) |
(* x (+ 1/2 (+ y (/ z x)))) |
(* x (+ 1/2 (/ z x))) |
(* -1 (* x (- (* -1 y) 1/2))) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(+ z (+ (* 1/2 x) (* x y))) |
(+ (* 1/2 x) (* x y)) |
1/2 |
(+ 1/2 y) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(* y (+ x (* 1/2 (/ x y)))) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(* z (+ 1 (* 1/2 (/ x z)))) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
| Outputs |
|---|
z |
(+ z (* x (+ 1/2 y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ z (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x z) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x y) |
(*.f64 y x) |
(* x (+ 1/2 y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 (+ y (/ z x)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* x (+ 1/2 (/ z x))) |
(fma.f64 #s(literal 1/2 binary64) x z) |
(* -1 (* x (- (* -1 y) 1/2))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* x (- (* -1 (/ z x)) 1/2))) |
(fma.f64 #s(literal 1/2 binary64) x z) |
(+ z (+ (* 1/2 x) (* x y))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(+ (* 1/2 x) (* x y)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 y) |
(-.f64 y #s(literal -1/2 binary64)) |
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* y (+ x (* 1/2 (/ x y)))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
y |
(* y (+ 1 (* 1/2 (/ 1 y)))) |
(-.f64 y #s(literal -1/2 binary64)) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* z (+ 1 (* 1/2 (/ x z)))) |
(fma.f64 #s(literal 1/2 binary64) x z) |
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(* -1 (* z (- (* -1/2 (/ x z)) 1))) |
(fma.f64 #s(literal 1/2 binary64) x z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 70 |
| 0 | 24 | 70 |
| 1 | 99 | 64 |
| 2 | 686 | 64 |
| 0 | 8355 | 59 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(-.f64 y #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (neg.f64 x) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 (neg.f64 x) #s(literal -2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) x) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x y) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) x) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) x) (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) x) (pow.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (fma.f64 y y #s(literal -1/4 binary64))) (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (pow.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 y y #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (*.f64 (*.f64 x x) y) (-.f64 y #s(literal 1/2 binary64))))))) |
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) y))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (*.f64 (*.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)))) (*.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (*.f64 (*.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) y))))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (*.f64 (*.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(*.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 x (-.f64 y #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) y))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) y))) (+.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (*.f64 (*.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (*.f64 (*.f64 x x) y) (-.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 y y #s(literal -1/4 binary64))) x) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) x) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 x (neg.f64 (fma.f64 y y #s(literal -1/4 binary64)))) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (*.f64 (*.f64 x x) y) (-.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1/2 binary64) y)))))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) x) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) x)) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) x)) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 y y #s(literal -1/4 binary64)))) (-.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 y y #s(literal -1/4 binary64)))) (neg.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))) (neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) y)))) |
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(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (-.f64 #s(literal 1/4 binary64) (*.f64 y #s(literal 1/2 binary64)))))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))) |
(-.f64 y #s(literal -1/2 binary64)) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 y #s(literal 1/2 binary64))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))))) |
(+.f64 #s(literal 1/2 binary64) y) |
(+.f64 y #s(literal 1/2 binary64)) |
Compiled 4 619 to 659 computations (85.7% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 170 | 0 | 170 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 2 | 2 |
| Total | 170 | 5 | 175 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
| ✓ | 68.4% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ✓ | 55.4% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
| ✓ | 34.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| ✓ | 24.1% | #s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
Compiled 143 to 83 computations (42% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| Outputs |
|---|
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
5 calls:
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 2.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 100.0% | 1 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
5 calls:
| 24.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 20.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.5% | 3 | x |
| 89.2% | 3 | y |
| 83.1% | 3 | z |
| 82.0% | 3 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 89.9% | 3 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
2 calls:
| 2.0ms | y |
| 2.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 3 | y |
| 82.9% | 3 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
5 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 1.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.0% | 1 | x |
| 39.7% | 3 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 39.7% | 3 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 34.0% | 1 | z |
| 55.1% | 3 | y |
Compiled 19 to 24 computations (-26.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
5 calls:
| 1.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 1.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.1% | 1 | x |
| 24.1% | 1 | z |
| 24.1% | 1 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 24.1% | 1 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 24.1% | 1 | y |
Compiled 19 to 24 computations (-26.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1869333497963695e+179 | 3.285961923764068e+187 |
| 0.0ms | -4.226085200171054e+137 | -1.266106818382367e+123 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.6844058415591566e+55 | 2.338096155514549e+65 |
| 11.0ms | -3.5666845623655724e+40 | -8.12861860857899e+38 |
| 13.0ms | 272× | 0 | valid |
Compiled 471 to 405 computations (14% saved)
ival-div: 2.0ms (30.3% of total)ival-add: 2.0ms (30.3% of total)ival-mult: 2.0ms (30.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.0003436500741938374 | 44305.53848916828 |
| 11.0ms | -9.4979062711122e-22 | -3.015950230322409e-25 |
| 13.0ms | 272× | 0 | valid |
Compiled 556 to 473 computations (14.9% saved)
ival-div: 2.0ms (29.8% of total)ival-add: 2.0ms (29.8% of total)ival-mult: 2.0ms (29.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 152 |
| 1 | 61 | 152 |
| 2 | 73 | 152 |
| 3 | 78 | 152 |
| 4 | 80 | 152 |
| 5 | 84 | 152 |
| 6 | 87 | 152 |
| 7 | 103 | 152 |
| 8 | 179 | 152 |
| 9 | 3521 | 152 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -400000000000000013136624995681970431594805026543844678204925370503498802759515198217600526251090965073579801913728974231459396253684596736 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal 199999999999999996091099546963028318915752778493452543828291966300228010772656544918538878468995967298844297195887900676839994006336880488768194581630088140609089562433891216654336 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)))) |
(if (<=.f64 y #s(literal -7500000000000000530070976223910043844608 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 25000000000000000875549921485790293261520079449577956401217536 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)))) |
(if (<=.f64 y #s(literal -2445779512244245/2658455991569831745807614120560689152 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
| Outputs |
|---|
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) x z) |
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -400000000000000013136624995681970431594805026543844678204925370503498802759515198217600526251090965073579801913728974231459396253684596736 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal 199999999999999996091099546963028318915752778493452543828291966300228010772656544918538878468995967298844297195887900676839994006336880488768194581630088140609089562433891216654336 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)))) |
(if (or (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -400000000000000013136624995681970431594805026543844678204925370503498802759515198217600526251090965073579801913728974231459396253684596736 binary64)) (not (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal 199999999999999996091099546963028318915752778493452543828291966300228010772656544918538878468995967298844297195887900676839994006336880488768194581630088140609089562433891216654336 binary64)))) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))) |
(if (<=.f64 y #s(literal -7500000000000000530070976223910043844608 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 25000000000000000875549921485790293261520079449577956401217536 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)))) |
(if (or (<=.f64 y #s(literal -7500000000000000530070976223910043844608 binary64)) (not (<=.f64 y #s(literal 25000000000000000875549921485790293261520079449577956401217536 binary64)))) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))) |
(if (<=.f64 y #s(literal -2445779512244245/2658455991569831745807614120560689152 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)))) |
(if (or (<=.f64 y #s(literal -2445779512244245/2658455991569831745807614120560689152 binary64)) (not (<=.f64 y #s(literal 1/2 binary64)))) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) #s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 132 |
| 1 | 247 | 132 |
| 2 | 645 | 132 |
| 3 | 1846 | 132 |
| 4 | 4800 | 132 |
| 5 | 7242 | 132 |
| 0 | 8225 | 116 |
| 0 | 8 | 22 |
| 0 | 12 | 22 |
| 1 | 52 | 18 |
| 2 | 452 | 18 |
| 3 | 6130 | 18 |
| 0 | 8093 | 17 |
| 0 | 57 | 93 |
| 1 | 174 | 93 |
| 2 | 494 | 93 |
| 3 | 1335 | 93 |
| 4 | 3762 | 93 |
| 5 | 6914 | 93 |
| 0 | 8109 | 84 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 206 to 114 computations (44.7% saved)
Compiled 322 to 112 computations (65.2% saved)
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