
Time bar (total: 7.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 93.8% | 93.6% | 6.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 15 to 14 computations (6.7% saved)
| 1.6s | 8 256× | 0 | valid |
ival-mult: 409.0ms (35.5% of total)ival-div: 327.0ms (28.4% of total)ival-sub: 321.0ms (27.8% of total)ival-add: 76.0ms (6.6% of total)exact: 10.0ms (0.9% of total)ival-true: 6.0ms (0.5% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 y #s(literal 1/4 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 1/4 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1/4 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 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 |
| 48.0ms | 512× | 0 | valid |
Compiled 125 to 40 computations (68% saved)
ival-mult: 12.0ms (40.6% of total)ival-sub: 7.0ms (23.7% of total)ival-add: 5.0ms (16.9% of total)ival-div: 3.0ms (10.1% of total)exact: 1.0ms (3.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 130 |
| 1 | 124 | 117 |
| 2 | 374 | 117 |
| 3 | 1078 | 101 |
| 4 | 3274 | 85 |
| 5 | 7486 | 85 |
| 0 | 12 | 13 |
| 0 | 18 | 13 |
| 1 | 30 | 13 |
| 2 | 58 | 13 |
| 3 | 110 | 13 |
| 4 | 211 | 11 |
| 5 | 474 | 9 |
| 6 | 1504 | 9 |
| 7 | 4831 | 9 |
| 0 | 8211 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64)) |
Compiled 13 to 12 computations (7.7% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
Compiled 13 to 12 computations (7.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) | |
| cost-diff | 1 | (+.f64 x (*.f64 y #s(literal 1/4 binary64))) | |
| cost-diff | 2 | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) | |
| cost-diff | 2 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 54 |
| 0 | 18 | 54 |
| 1 | 30 | 54 |
| 2 | 58 | 54 |
| 3 | 110 | 54 |
| 4 | 211 | 48 |
| 5 | 474 | 46 |
| 6 | 1504 | 46 |
| 7 | 4831 | 46 |
| 0 | 8211 | 41 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) |
#s(literal 4 binary64) |
(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) |
(+.f64 x (*.f64 y #s(literal 1/4 binary64))) |
x |
(*.f64 y #s(literal 1/4 binary64)) |
y |
#s(literal 1/4 binary64) |
z |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) |
(fma.f64 #s(literal -4 binary64) (-.f64 z x) y) |
#s(literal 4 binary64) |
(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) |
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) |
(+.f64 x (*.f64 y #s(literal 1/4 binary64))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
x |
(*.f64 y #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) y) |
y |
#s(literal 1/4 binary64) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y #s(literal 1/4 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) | |
| accuracy | 0.00390625 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) | |
| accuracy | 0.015625 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 36.0ms | 256× | 0 | valid |
Compiled 56 to 14 computations (75% saved)
ival-sub: 15.0ms (64.6% of total)ival-mult: 3.0ms (12.9% of total)ival-div: 2.0ms (8.6% of total)ival-add: 2.0ms (8.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) |
(+.f64 x (*.f64 y #s(literal 1/4 binary64))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
(*.f64 y #s(literal 1/4 binary64)) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 4 (- (* 1/4 y) z)) |
(+ (* 4 x) (* 4 (- (* 1/4 y) z))) |
(* 1/4 y) |
(+ x (* 1/4 y)) |
(* 4 (/ (- (* 1/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 x) |
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) |
x |
(* x (+ 1 (* 1/4 (/ y x)))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) |
(* -1 (* x (- (* -1/4 (/ y x)) 1))) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(* 4 (- x z)) |
(+ y (* 4 (- x z))) |
(/ (+ y (* 4 (- x z))) y) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
y |
(* y (+ 1 (* 4 (/ (- x z) y)))) |
(* y (+ 1/4 (/ x y))) |
1 |
(+ 1 (* 4 (/ (- x z) y))) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1/4))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* 4 (+ x (* 1/4 y))) |
(+ (* -4 z) (* 4 (+ x (* 1/4 y)))) |
(* 4 (/ (+ x (* 1/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 z) |
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z))))) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* 4 (- (+ x (* y 1/4)) z)) (+ x (* y 1/4)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* y 1/4)) |
| 1.0ms | y | @ | 0 | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* 4 (- (+ x (* y 1/4)) z)) (+ x (* y 1/4)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* y 1/4)) |
| 1.0ms | x | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* 4 (- (+ x (* y 1/4)) z)) (+ x (* y 1/4)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* y 1/4)) |
| 1.0ms | y | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* 4 (- (+ x (* y 1/4)) z)) (+ x (* y 1/4)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* y 1/4)) |
| 1.0ms | y | @ | -inf | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* 4 (- (+ x (* y 1/4)) z)) (+ x (* y 1/4)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* y 1/4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 423 |
| 1 | 360 | 410 |
| 2 | 979 | 335 |
| 3 | 3701 | 321 |
| 0 | 8194 | 283 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 4 (- (* 1/4 y) z)) |
(+ (* 4 x) (* 4 (- (* 1/4 y) z))) |
(* 1/4 y) |
(+ x (* 1/4 y)) |
(* 4 (/ (- (* 1/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 x) |
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) |
x |
(* x (+ 1 (* 1/4 (/ y x)))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) |
(* -1 (* x (- (* -1/4 (/ y x)) 1))) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(* 4 (- x z)) |
(+ y (* 4 (- x z))) |
(/ (+ y (* 4 (- x z))) y) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
y |
(* y (+ 1 (* 4 (/ (- x z) y)))) |
(* y (+ 1/4 (/ x y))) |
1 |
(+ 1 (* 4 (/ (- x z) y))) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1/4))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* 4 (+ x (* 1/4 y))) |
(+ (* -4 z) (* 4 (+ x (* 1/4 y)))) |
(* 4 (/ (+ x (* 1/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 z) |
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z))))) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(* 4 (- (* 1/4 y) z)) |
(fma.f64 #s(literal -4 binary64) z y) |
(+ (* 4 x) (* 4 (- (* 1/4 y) z))) |
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(+ x (* 1/4 y)) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(* 4 (/ (- (* 1/4 y) z) y)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 1 binary64)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(* 4 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) |
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y) |
x |
(* x (+ 1 (* 1/4 (/ y x)))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x) |
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) |
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y) |
(* -1 (* x (- (* -1/4 (/ y x)) 1))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(* 4 (/ (- x z) y)) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 (-.f64 x z) #s(literal 4 binary64))) y) |
(* 4 (- x z)) |
(*.f64 (-.f64 x z) #s(literal 4 binary64)) |
(+ y (* 4 (- x z))) |
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y) |
(/ (+ y (* 4 (- x z))) y) |
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
y |
(* y (+ 1 (* 4 (/ (- x z) y)))) |
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y) |
(* y (+ 1/4 (/ x y))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 1))) |
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y) |
(* -1 (* y (- (* -1 (/ x y)) 1/4))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(* 4 (+ x (* 1/4 y))) |
(fma.f64 #s(literal 4 binary64) x y) |
(+ (* -4 z) (* 4 (+ x (* 1/4 y)))) |
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y) |
(* 4 (/ (+ x (* 1/4 y)) y)) |
(/.f64 (fma.f64 #s(literal 4 binary64) x y) y) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(* -4 (/ z y)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(* -4 z) |
(*.f64 #s(literal -4 binary64) z) |
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z)) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z))))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z)) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 41 |
| 0 | 18 | 41 |
| 1 | 74 | 41 |
| 2 | 629 | 41 |
| 0 | 8524 | 36 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) |
(+.f64 x (*.f64 y #s(literal 1/4 binary64))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
(*.f64 y #s(literal 1/4 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 2 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 4 binary64))) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 6 binary64))) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 2 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 2 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 4 binary64) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 4 binary64))) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 6 binary64))) (*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 binary64))))) |
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(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) y) (-.f64 (*.f64 #s(literal 1/4 binary64) y) x) (*.f64 x x)))) |
(neg.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal -1/16 binary64) (*.f64 y y))) (neg.f64 (-.f64 x (*.f64 #s(literal 1/4 binary64) y))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) (-.f64 (*.f64 #s(literal 1/4 binary64) y) x) (*.f64 x x))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (*.f64 #s(literal 1/4 binary64) y) (fma.f64 #s(literal 1/4 binary64) y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(literal -1/16 binary64) (*.f64 y y)))) (fma.f64 #s(literal 1/4 binary64) y x) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (*.f64 #s(literal 1/4 binary64) y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(fma.f64 y #s(literal 1/4 binary64) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/4 binary64) y) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))) (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/4 binary64) y)))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))))) |
(+.f64 (*.f64 #s(literal 1/4 binary64) y) x) |
(+.f64 x (*.f64 #s(literal 1/4 binary64) y)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y)) |
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y)) |
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) |
(*.f64 #s(literal -4 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) |
(*.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y))) |
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 4 binary64)) |
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) (*.f64 (pow.f64 (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y))) |
(*.f64 (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (*.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (/.f64 #s(literal 4 binary64) y)) |
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64))) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) |
(pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (pow.f64 y #s(literal -1 binary64))) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal -1 binary64))) (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) y)) (-.f64 x (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) y)) (fma.f64 x x (*.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) (-.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 4 binary64) y)) (neg.f64 (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) y)) (neg.f64 (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 4 binary64) y)) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) y)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) (fma.f64 #s(literal 1/4 binary64) y x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) y)) (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64))) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 4 binary64))) (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)))) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) #s(literal -1 binary64)) y) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64)) (*.f64 y (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 y (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (*.f64 y (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) |
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) (neg.f64 y)) |
(/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) |
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)))) |
(neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 z) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) z) (pow.f64 y #s(literal -1 binary64)))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z))) (pow.f64 y #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 z) #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) z))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) x) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 z) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -4 binary64) z) (pow.f64 y #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z))) (pow.f64 y #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 z) #s(literal 4 binary64)))) |
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) z))) |
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 4 binary64)))) |
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) x)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z))))) |
(*.f64 #s(literal 1/4 binary64) y) |
(*.f64 y #s(literal 1/4 binary64)) |
(/.f64 (neg.f64 y) #s(literal -4 binary64)) |
(/.f64 y #s(literal 4 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) |
Compiled 9 519 to 1 412 computations (85.2% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 351 | 7 | 358 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 352 | 7 | 359 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))) |
| 62.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) | |
| ▶ | 71.5% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
| 68.8% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) | |
| ▶ | 31.7% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| ▶ | 40.9% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
| ▶ | 32.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
Compiled 260 to 220 computations (15.4% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -4 binary64) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -4 binary64) y) z) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) y) | |
| cost-diff | 2 | (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) | |
| cost-diff | 2 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))) | |
| cost-diff | 4 | (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 171 |
| 0 | 46 | 161 |
| 1 | 82 | 157 |
| 2 | 150 | 151 |
| 3 | 389 | 141 |
| 4 | 1126 | 141 |
| 5 | 3488 | 141 |
| 6 | 6435 | 141 |
| 0 | 8079 | 135 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) |
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) |
(fma.f64 #s(literal 1/4 binary64) y x) |
#s(literal 1/4 binary64) |
x |
z |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(/.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
y |
z |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
#s(literal -4 binary64) |
(/.f64 z y) |
z |
y |
#s(literal 2 binary64) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) |
(/.f64 #s(literal 4 binary64) y) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) |
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) |
(fma.f64 #s(literal 1/4 binary64) y x) |
#s(literal 1/4 binary64) |
x |
z |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(/.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
y |
z |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) |
#s(literal -4 binary64) |
(/.f64 z y) |
z |
y |
#s(literal 2 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (/.f64 z y) | |
| accuracy | 18.260660828519768 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.01171875 | (*.f64 (/.f64 x y) #s(literal 4 binary64)) | |
| accuracy | 43.73434769043675 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal -4 binary64) y) | |
| accuracy | 0.20703125 | (*.f64 (/.f64 #s(literal -4 binary64) y) z) | |
| accuracy | 37.75322947648948 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) | |
| accuracy | 43.12411070875179 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) | |
| accuracy | 0.00390625 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))) | |
| accuracy | 0.015625 | (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) | |
| accuracy | 0.1875 | (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) |
| 71.0ms | 256× | 0 | valid |
Compiled 158 to 31 computations (80.4% saved)
ival-mult: 22.0ms (49.7% of total)ival-div: 12.0ms (27.1% of total)ival-add: 8.0ms (18.1% of total)ival-sub: 2.0ms (4.5% of total)exact: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) |
(/.f64 #s(literal 4 binary64) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(/.f64 #s(literal -4 binary64) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/.f64 x y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
(/.f64 z y) |
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) |
| Outputs |
|---|
(* 4 (/ (- (* 1/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 4 (/ x y)) |
(/ x y) |
(/ 1 (- (* 1/4 y) z)) |
(+ (* -1 (/ x (pow (- (* 1/4 y) z) 2))) (/ 1 (- (* 1/4 y) z))) |
(+ (* x (- (/ x (pow (- (* 1/4 y) z) 3)) (/ 1 (pow (- (* 1/4 y) z) 2)))) (/ 1 (- (* 1/4 y) z))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (* 1/4 y) z) 4))) (/ 1 (pow (- (* 1/4 y) z) 3)))) (/ 1 (pow (- (* 1/4 y) z) 2)))) (/ 1 (- (* 1/4 y) z))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(/ 1 x) |
(/ (- (+ 1 (/ z x)) (* 1/4 (/ y x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) (pow x 2))) (/ z x))) (* 1/4 (/ y x))) x) |
(/ (- (+ 1 (+ (/ z x) (/ (* (- z (* 1/4 y)) (pow (- (* 1/4 y) z) 2)) (pow x 3)))) (+ (* 1/4 (/ y x)) (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) (pow x 2)))) x) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (/ (- (* -1 (/ (- z (* 1/4 y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) x))) (* 1/4 y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (* 1/4 y)) (pow (- (* 1/4 y) z) 2)) x)) (* -1 (* (- z (* 1/4 y)) (- (* 1/4 y) z)))) x))) (* 1/4 y)) x)) 1) x)) |
(* 4 (/ (- x z) y)) |
(/ (+ y (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ 4 y) |
(* -4 (/ z y)) |
(/ -4 y) |
(/ (+ (* -4 z) (* 2 y)) y) |
(/ z y) |
(/ 1 (- x z)) |
(+ (* -1/4 (/ y (pow (- x z) 2))) (/ 1 (- x z))) |
(+ (* y (- (* 1/16 (/ y (pow (- x z) 3))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))) |
(+ (* y (- (* y (+ (* -1/64 (/ y (pow (- x z) 4))) (* 1/16 (/ 1 (pow (- x z) 3))))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))) |
1 |
(+ 1 (* 4 (/ (- x z) y))) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* -4 (/ z y))) |
(/ (+ 4 (* -16 (/ (- x z) y))) y) |
(/ (- (+ 4 (* 64 (/ (pow (- x z) 2) (pow y 2)))) (* 16 (/ (- x z) y))) y) |
(/ (- (+ 4 (* -256 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64 (/ (pow (- x z) 2) (pow y 2))) (* 16 (/ (- x z) y)))) y) |
(* -1 (/ (- (* 16 (/ (- x z) y)) 4) y)) |
(* -1 (/ (- (* -1 (/ (- (* 64 (/ (pow (- x z) 2) y)) (* 16 (- x z))) y)) 4) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 256 (/ (pow (- x z) 3) y)) (* 64 (pow (- x z) 2))) y)) (* 16 (- x z))) y)) 4) y)) |
(* 4 (/ (+ x (* 1/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(/ 1 (+ x (* 1/4 y))) |
(+ (/ 1 (+ x (* 1/4 y))) (/ z (pow (+ x (* 1/4 y)) 2))) |
(+ (* z (+ (/ 1 (pow (+ x (* 1/4 y)) 2)) (/ z (pow (+ x (* 1/4 y)) 3)))) (/ 1 (+ x (* 1/4 y)))) |
(+ (* z (+ (* z (+ (/ 1 (pow (+ x (* 1/4 y)) 3)) (/ z (pow (+ x (* 1/4 y)) 4)))) (/ 1 (pow (+ x (* 1/4 y)) 2)))) (/ 1 (+ x (* 1/4 y)))) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y)))) |
(/ -1 z) |
(/ (- (* -1 (/ (+ x (* 1/4 y)) z)) 1) z) |
(/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 2) (pow z 2))) (+ 1 (+ (* 1/4 (/ y z)) (/ x z)))) z) |
(/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 3) (pow z 3))) (+ 1 (+ (* 1/4 (/ y z)) (+ (/ x z) (/ (pow (+ x (* 1/4 y)) 2) (pow z 2)))))) z) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z))))) |
(* -1 (/ (+ 1 (+ (* 1/4 (/ y z)) (/ x z))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 2) z)) (+ x (* 1/4 y))) z))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 1/4 y)) 3) z) (* -1 (pow (+ x (* 1/4 y)) 2))) z)) (+ x (* 1/4 y))) z))) z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | -inf | ((/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z))) (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (* 1 (/ 4 y)) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* -4 (/ z y)) 2) (/ z y) (/ 1 (- (+ (* 1/4 y) x) z))) |
| 2.0ms | y | @ | 0 | ((/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z))) (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (* 1 (/ 4 y)) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* -4 (/ z y)) 2) (/ z y) (/ 1 (- (+ (* 1/4 y) x) z))) |
| 2.0ms | y | @ | inf | ((/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z))) (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (* 1 (/ 4 y)) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* -4 (/ z y)) 2) (/ z y) (/ 1 (- (+ (* 1/4 y) x) z))) |
| 2.0ms | x | @ | inf | ((/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z))) (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (* 1 (/ 4 y)) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* -4 (/ z y)) 2) (/ z y) (/ 1 (- (+ (* 1/4 y) x) z))) |
| 2.0ms | x | @ | -inf | ((/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z))) (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (* 1 (/ 4 y)) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* -4 (/ z y)) 2) (/ z y) (/ 1 (- (+ (* 1/4 y) x) z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 298 | 1080 |
| 1 | 867 | 1059 |
| 2 | 2498 | 976 |
| 0 | 8300 | 903 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4 (/ (- (* 1/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 4 (/ x y)) |
(/ x y) |
(/ 1 (- (* 1/4 y) z)) |
(+ (* -1 (/ x (pow (- (* 1/4 y) z) 2))) (/ 1 (- (* 1/4 y) z))) |
(+ (* x (- (/ x (pow (- (* 1/4 y) z) 3)) (/ 1 (pow (- (* 1/4 y) z) 2)))) (/ 1 (- (* 1/4 y) z))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (* 1/4 y) z) 4))) (/ 1 (pow (- (* 1/4 y) z) 3)))) (/ 1 (pow (- (* 1/4 y) z) 2)))) (/ 1 (- (* 1/4 y) z))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(/ 1 x) |
(/ (- (+ 1 (/ z x)) (* 1/4 (/ y x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) (pow x 2))) (/ z x))) (* 1/4 (/ y x))) x) |
(/ (- (+ 1 (+ (/ z x) (/ (* (- z (* 1/4 y)) (pow (- (* 1/4 y) z) 2)) (pow x 3)))) (+ (* 1/4 (/ y x)) (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) (pow x 2)))) x) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (/ (- (* -1 (/ (- z (* 1/4 y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) x))) (* 1/4 y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (* 1/4 y)) (pow (- (* 1/4 y) z) 2)) x)) (* -1 (* (- z (* 1/4 y)) (- (* 1/4 y) z)))) x))) (* 1/4 y)) x)) 1) x)) |
(* 4 (/ (- x z) y)) |
(/ (+ y (* 4 (- x z))) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ 4 y) |
(* -4 (/ z y)) |
(/ -4 y) |
(/ (+ (* -4 z) (* 2 y)) y) |
(/ z y) |
(/ 1 (- x z)) |
(+ (* -1/4 (/ y (pow (- x z) 2))) (/ 1 (- x z))) |
(+ (* y (- (* 1/16 (/ y (pow (- x z) 3))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))) |
(+ (* y (- (* y (+ (* -1/64 (/ y (pow (- x z) 4))) (* 1/16 (/ 1 (pow (- x z) 3))))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))) |
1 |
(+ 1 (* 4 (/ (- x z) y))) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 2 (* -4 (/ z y))) |
(/ (+ 4 (* -16 (/ (- x z) y))) y) |
(/ (- (+ 4 (* 64 (/ (pow (- x z) 2) (pow y 2)))) (* 16 (/ (- x z) y))) y) |
(/ (- (+ 4 (* -256 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64 (/ (pow (- x z) 2) (pow y 2))) (* 16 (/ (- x z) y)))) y) |
(* -1 (/ (- (* 16 (/ (- x z) y)) 4) y)) |
(* -1 (/ (- (* -1 (/ (- (* 64 (/ (pow (- x z) 2) y)) (* 16 (- x z))) y)) 4) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 256 (/ (pow (- x z) 3) y)) (* 64 (pow (- x z) 2))) y)) (* 16 (- x z))) y)) 4) y)) |
(* 4 (/ (+ x (* 1/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(/ 1 (+ x (* 1/4 y))) |
(+ (/ 1 (+ x (* 1/4 y))) (/ z (pow (+ x (* 1/4 y)) 2))) |
(+ (* z (+ (/ 1 (pow (+ x (* 1/4 y)) 2)) (/ z (pow (+ x (* 1/4 y)) 3)))) (/ 1 (+ x (* 1/4 y)))) |
(+ (* z (+ (* z (+ (/ 1 (pow (+ x (* 1/4 y)) 3)) (/ z (pow (+ x (* 1/4 y)) 4)))) (/ 1 (pow (+ x (* 1/4 y)) 2)))) (/ 1 (+ x (* 1/4 y)))) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y)))) |
(/ -1 z) |
(/ (- (* -1 (/ (+ x (* 1/4 y)) z)) 1) z) |
(/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 2) (pow z 2))) (+ 1 (+ (* 1/4 (/ y z)) (/ x z)))) z) |
(/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 3) (pow z 3))) (+ 1 (+ (* 1/4 (/ y z)) (+ (/ x z) (/ (pow (+ x (* 1/4 y)) 2) (pow z 2)))))) z) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z))))) |
(* -1 (/ (+ 1 (+ (* 1/4 (/ y z)) (/ x z))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 2) z)) (+ x (* 1/4 y))) z))) z)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 1/4 y)) 3) z) (* -1 (pow (+ x (* 1/4 y)) 2))) z)) (+ x (* 1/4 y))) z))) z)) |
| Outputs |
|---|
(* 4 (/ (- (* 1/4 y) z) y)) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y)) #s(literal 4 binary64)) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y)) #s(literal 4 binary64) #s(literal 1 binary64)) |
(* 4 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ 1 (- (* 1/4 y) z)) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) y) z)) |
(+ (* -1 (/ x (pow (- (* 1/4 y) z) 2))) (/ 1 (- (* 1/4 y) z))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (/.f64 x (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)))) |
(+ (* x (- (/ x (pow (- (* 1/4 y) z) 3)) (/ 1 (pow (- (* 1/4 y) z) 2)))) (/ 1 (- (* 1/4 y) z))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) y) z))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (* 1/4 y) z) 4))) (/ 1 (pow (- (* 1/4 y) z) 3)))) (/ 1 (pow (- (* 1/4 y) z) 2)))) (/ 1 (- (* 1/4 y) z))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) y) z))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- (+ 1 (/ z x)) (* 1/4 (/ y x))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) y z) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (+ (* -1 (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) (pow x 2))) (/ z x))) (* 1/4 (/ y x))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) y (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) x) z)) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (+ (/ z x) (/ (* (- z (* 1/4 y)) (pow (- (* 1/4 y) z) 2)) (pow x 3)))) (+ (* 1/4 (/ y x)) (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) (pow x 2)))) x) |
(/.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) y (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) x) z)) x) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) y)) x) |
(* -1 (/ (- (* -1 (/ (- z (* 1/4 y)) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) y z) x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) x))) (* 1/4 y)) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) y (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) x) z)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (* 1/4 y)) (pow (- (* 1/4 y) z) 2)) x)) (* -1 (* (- z (* 1/4 y)) (- (* 1/4 y) z)))) x))) (* 1/4 y)) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) y (-.f64 z (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 3 binary64)) x) (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64))) x))) x)) (neg.f64 x)) |
(* 4 (/ (- x z) y)) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/ (+ y (* 4 (- x z))) y) |
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(* -4 (/ z y)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(/ -4 y) |
(/.f64 #s(literal -4 binary64) y) |
(/ (+ (* -4 z) (* 2 y)) y) |
(/.f64 (fma.f64 #s(literal -4 binary64) z (*.f64 #s(literal 2 binary64) y)) y) |
(/ z y) |
(/.f64 z y) |
(/ 1 (- x z)) |
(/.f64 #s(literal 1 binary64) (-.f64 x z)) |
(+ (* -1/4 (/ y (pow (- x z) 2))) (/ 1 (- x z))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 x z) #s(literal 2 binary64))) y (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(+ (* y (- (* 1/16 (/ y (pow (- x z) 3))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 x z) #s(literal 3 binary64))) y (/.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 x z) #s(literal 2 binary64)))) y (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(+ (* y (- (* y (+ (* -1/64 (/ y (pow (- x z) 4))) (* 1/16 (/ 1 (pow (- x z) 3))))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 x z) #s(literal 4 binary64))) #s(literal -1/64 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 x z) #s(literal 3 binary64)))) y (/.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 x z) #s(literal 2 binary64)))) y (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(+ 2 (* -4 (/ z y))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
(/ (+ 4 (* -16 (/ (- x z) y))) y) |
(/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) y) |
(/ (- (+ 4 (* 64 (/ (pow (- x z) 2) (pow y 2)))) (* 16 (/ (- x z) y))) y) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (-.f64 x z) (*.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 64 binary64))) y) #s(literal 4 binary64)) y) |
(/ (- (+ 4 (* -256 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64 (/ (pow (- x z) 2) (pow y 2))) (* 16 (/ (- x z) y)))) y) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) #s(literal -256 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (-.f64 x z) (*.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 64 binary64))) y) #s(literal 4 binary64))) y) |
(* -1 (/ (- (* 16 (/ (- x z) y)) 4) y)) |
(/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* 64 (/ (pow (- x z) 2) y)) (* 16 (- x z))) y)) 4) y)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (-.f64 x z) (*.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 64 binary64))) y) #s(literal 1 binary64) #s(literal 4 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 256 (/ (pow (- x z) 3) y)) (* 64 (pow (- x z) 2))) y)) (* 16 (- x z))) y)) 4) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (-.f64 x z) (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64)) y) #s(literal -256 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (-.f64 x z) #s(literal 2 binary64)))) y)) y) #s(literal 4 binary64)) y) |
(* 4 (/ (+ x (* 1/4 y)) y)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) #s(literal 4 binary64)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) #s(literal 4 binary64))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) #s(literal 4 binary64) #s(literal 1 binary64))) |
(/ 1 (+ x (* 1/4 y))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) y x)) |
(+ (/ 1 (+ x (* 1/4 y))) (/ z (pow (+ x (* 1/4 y)) 2))) |
(+.f64 (/.f64 z (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) y x))) |
(+ (* z (+ (/ 1 (pow (+ x (* 1/4 y)) 2)) (/ z (pow (+ x (* 1/4 y)) 3)))) (/ 1 (+ x (* 1/4 y)))) |
(fma.f64 (+.f64 (/.f64 z (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) y x))) |
(+ (* z (+ (* z (+ (/ 1 (pow (+ x (* 1/4 y)) 3)) (/ z (pow (+ x (* 1/4 y)) 4)))) (/ 1 (pow (+ x (* 1/4 y)) 2)))) (/ 1 (+ x (* 1/4 y)))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 z (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)))) z (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) y x))) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) (+.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 #s(literal -4 binary64) y)) z) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1/4 binary64)) z) #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 4 binary64) y)) z) |
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 #s(literal 4 binary64) y)) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ (- (* -1 (/ (+ x (* 1/4 y)) z)) 1) z) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) z) |
(/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 2) (pow z 2))) (+ 1 (+ (* 1/4 (/ y z)) (/ x z)))) z) |
(/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) z) (fma.f64 #s(literal 1/4 binary64) y x)) z) #s(literal 1 binary64))) z) |
(/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 3) (pow z 3))) (+ 1 (+ (* 1/4 (/ y z)) (+ (/ x z) (/ (pow (+ x (* 1/4 y)) 2) (pow z 2)))))) z) |
(/.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) z) (fma.f64 #s(literal 1/4 binary64) y x)) z) #s(literal 1 binary64))) (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 3 binary64))) z) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) (+.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 #s(literal -4 binary64) y)) z) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(*.f64 (neg.f64 z) (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) z))) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z))))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 #s(literal 4 binary64) y)) z) |
(* -1 (/ (+ 1 (+ (* 1/4 (/ y z)) (/ x z))) z)) |
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y z) #s(literal 1/4 binary64) (/.f64 x z))) z) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 2) z)) (+ x (* 1/4 y))) z))) z)) |
(/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) z) (fma.f64 #s(literal 1/4 binary64) y x)) z) #s(literal 1 binary64))) z) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 1/4 y)) 3) z) (* -1 (pow (+ x (* 1/4 y)) 2))) z)) (+ x (* 1/4 y))) z))) z)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1 binary64))) (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) y x)) z) #s(literal -1 binary64)) z) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 144 |
| 0 | 46 | 134 |
| 1 | 211 | 130 |
| 2 | 1546 | 124 |
| 0 | 8218 | 124 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) |
(/.f64 #s(literal 4 binary64) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(/.f64 #s(literal -4 binary64) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/.f64 x y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
(/.f64 z y) |
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 4 binary64)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) |
(*.f64 (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal -3 binary64)) #s(literal -64 binary64) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 z y) #s(literal -8 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal -3 binary64)) #s(literal -64 binary64) #s(literal 8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 z y) #s(literal -8 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal -2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal -3 binary64)) #s(literal -64 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 z y) #s(literal -8 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal -3 binary64)) #s(literal -64 binary64) #s(literal 8 binary64)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 z y) #s(literal -8 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal -2 binary64)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 z y) #s(literal -8 binary64)))) (fma.f64 (pow.f64 (/.f64 y z) #s(literal -3 binary64)) #s(literal -64 binary64) #s(literal 8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal -2 binary64)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 z y) #s(literal -8 binary64)))) (fma.f64 (pow.f64 (/.f64 y z) #s(literal -3 binary64)) #s(literal -64 binary64) #s(literal 8 binary64)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) z) (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal -2 binary64)))) |
(+.f64 (*.f64 (/.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) z) |
(*.f64 (neg.f64 z) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 z (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 z y)) |
(pow.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (*.f64 z #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 z) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y z))) |
(/.f64 z y) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y z)) |
(neg.f64 (/.f64 (neg.f64 z) y)) |
(neg.f64 (/.f64 z (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) |
(*.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) #s(literal -1 binary64))) |
Compiled 8 359 to 1 262 computations (84.9% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 363 | 2 | 365 |
| Fresh | 0 | 2 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 365 | 7 | 372 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 62.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
| ✓ | 71.5% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
| ▶ | 41.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) |
| ▶ | 68.8% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
| ✓ | 31.7% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| ✓ | 32.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
| ▶ | 96.8% | #s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))) |
Compiled 146 to 120 computations (17.8% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -4 binary64) z) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -4 binary64) z) y) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) | |
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | (/.f64 (-.f64 x z) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))) | |
| cost-diff | 6 | (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 173 |
| 0 | 51 | 169 |
| 1 | 96 | 167 |
| 2 | 193 | 151 |
| 3 | 470 | 143 |
| 4 | 1290 | 143 |
| 5 | 4153 | 143 |
| 6 | 7412 | 143 |
| 0 | 8375 | 137 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) |
#s(literal -4 binary64) |
(/.f64 z y) |
z |
y |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
x |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(*.f64 #s(literal -4 binary64) z) |
#s(literal -4 binary64) |
z |
y |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
x |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))) |
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))) |
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal -4 binary64) z y) y) |
#s(literal -4 binary64) |
(/.f64 z y) |
z |
y |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)) |
(/.f64 (fma.f64 x #s(literal 4 binary64) y) y) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
x |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) |
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) z) |
#s(literal -4 binary64) |
z |
y |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
x |
#s(literal 2 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 4 binary64) y) | |
| accuracy | 0.109375 | (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) | |
| accuracy | 24.04608125834669 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) | |
| accuracy | 0.0 | (/.f64 (*.f64 #s(literal -4 binary64) z) y) | |
| accuracy | 0.0 | (*.f64 #s(literal -4 binary64) z) | |
| accuracy | 37.75322947648948 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) | |
| accuracy | 0.0 | (-.f64 x z) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 x z) y) | |
| accuracy | 19.93775998664761 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal 4 binary64) y) | |
| accuracy | 0.0 | #s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))) | |
| accuracy | 0.109375 | (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)) | |
| accuracy | 1.8007729933208234 | (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))) |
| 117.0ms | 256× | 0 | valid |
Compiled 145 to 37 computations (74.5% saved)
ival-sub: 36.0ms (48.6% of total)ival-mult: 17.0ms (22.9% of total)ival-div: 12.0ms (16.2% of total)ival-add: 9.0ms (12.1% of total)exact: 1.0ms (1.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))) |
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) |
(/.f64 z y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(*.f64 #s(literal -4 binary64) z) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)) |
| Outputs |
|---|
(+ 2 (* -4 (/ z y))) |
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* -1 z) |
(- x z) |
2 |
(+ 2 (* 4 (/ x y))) |
1 |
(+ 1 (* 4 (/ x y))) |
(* 4 (/ x y)) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(/ x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(* x (+ (/ 1 x) (* 4 (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ z x) 1))) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(* x (+ (* 4 (/ 1 y)) (/ 1 x))) |
(/ (+ (* -4 z) (* 4 x)) y) |
(/ (+ (* -4 z) (+ (* 2 y) (* 4 x))) y) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ y (* -4 z)) y) |
(/ z y) |
(/ (- x z) y) |
(/ (+ (* 2 y) (* 4 x)) y) |
(/ 4 y) |
(/ (+ y (* 4 x)) y) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 1 (* -4 (/ z y))) |
(+ 2 (* -1 (/ (+ (* -4 x) (* 4 z)) y))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ x (* -1 z)) |
(* -4 z) |
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (/ 1 z) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* z (- (/ x z) 1)) |
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (- (* 4 (/ 1 y)) (/ 1 z)))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | ((+ (* (+ (* -4 (/ z y)) 1) 1) (+ (* (/ 4 y) x) 1)) (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (+ (* -4 (/ z y)) 1) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* -4 z) y) (* -4 z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (/ 4 y) (+ (* (/ 4 y) x) 1)) |
| 2.0ms | z | @ | inf | ((+ (* (+ (* -4 (/ z y)) 1) 1) (+ (* (/ 4 y) x) 1)) (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (+ (* -4 (/ z y)) 1) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* -4 z) y) (* -4 z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (/ 4 y) (+ (* (/ 4 y) x) 1)) |
| 2.0ms | z | @ | -inf | ((+ (* (+ (* -4 (/ z y)) 1) 1) (+ (* (/ 4 y) x) 1)) (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (+ (* -4 (/ z y)) 1) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* -4 z) y) (* -4 z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (/ 4 y) (+ (* (/ 4 y) x) 1)) |
| 2.0ms | y | @ | inf | ((+ (* (+ (* -4 (/ z y)) 1) 1) (+ (* (/ 4 y) x) 1)) (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (+ (* -4 (/ z y)) 1) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* -4 z) y) (* -4 z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (/ 4 y) (+ (* (/ 4 y) x) 1)) |
| 2.0ms | y | @ | 0 | ((+ (* (+ (* -4 (/ z y)) 1) 1) (+ (* (/ 4 y) x) 1)) (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (+ (* -4 (/ z y)) 1) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* -4 z) y) (* -4 z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (/ 4 y) (+ (* (/ 4 y) x) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 486 |
| 1 | 464 | 468 |
| 2 | 1337 | 386 |
| 3 | 3723 | 386 |
| 4 | 7437 | 386 |
| 0 | 8074 | 355 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 2 (* -4 (/ z y))) |
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* -1 z) |
(- x z) |
2 |
(+ 2 (* 4 (/ x y))) |
1 |
(+ 1 (* 4 (/ x y))) |
(* 4 (/ x y)) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(/ x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(* x (+ (/ 1 x) (* 4 (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ z x) 1))) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(* x (+ (* 4 (/ 1 y)) (/ 1 x))) |
(/ (+ (* -4 z) (* 4 x)) y) |
(/ (+ (* -4 z) (+ (* 2 y) (* 4 x))) y) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ y (* -4 z)) y) |
(/ z y) |
(/ (- x z) y) |
(/ (+ (* 2 y) (* 4 x)) y) |
(/ 4 y) |
(/ (+ y (* 4 x)) y) |
(+ 2 (* 4 (/ (- x z) y))) |
(+ 1 (* -4 (/ z y))) |
(+ 2 (* -1 (/ (+ (* -4 x) (* 4 z)) y))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ x (* -1 z)) |
(* -4 z) |
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (/ 1 z) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* z (- (/ x z) 1)) |
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (- (* 4 (/ 1 y)) (/ 1 z)))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
| Outputs |
|---|
(+ 2 (* -4 (/ z y))) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)) |
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -4 (/ z y)) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ x y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 4 (/ x y))) |
(/.f64 (fma.f64 #s(literal 4 binary64) x y) y) |
(* 4 (/ x y)) |
(*.f64 (/.f64 #s(literal 4 binary64) y) x) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(/.f64 (-.f64 x z) y) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(* x (+ (/ 1 x) (* 4 (/ 1 y)))) |
(/.f64 (fma.f64 #s(literal 4 binary64) x y) y) |
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(/.f64 (-.f64 x z) y) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(* x (+ (* 4 (/ 1 y)) (/ 1 x))) |
(/.f64 (fma.f64 #s(literal 4 binary64) x y) y) |
(/ (+ (* -4 z) (* 4 x)) y) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/ (+ (* -4 z) (+ (* 2 y) (* 4 x))) y) |
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) y) |
(* 4 (/ (- x z) y)) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) y) |
(/ (+ y (* -4 z)) y) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) |
(/ z y) |
(/.f64 z y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (+ (* 2 y) (* 4 x)) y) |
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 4 binary64) x)) y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ (+ y (* 4 x)) y) |
(/.f64 (fma.f64 #s(literal 4 binary64) x y) y) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 1 (* -4 (/ z y))) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) |
(+ 2 (* -1 (/ (+ (* -4 x) (* 4 z)) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ x (* -1 z)) |
(-.f64 x z) |
(* -4 z) |
(*.f64 #s(literal -4 binary64) z) |
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) (*.f64 (/.f64 #s(literal 2 binary64) z) z)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1/4 binary64)) z) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) y)) z #s(literal 1 binary64)) |
(* z (- (/ 1 z) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(/.f64 (-.f64 x z) y) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -1 (* z (- (* 4 (/ 1 y)) (/ 1 z)))) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(/.f64 (-.f64 x z) y) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 153 |
| 0 | 51 | 149 |
| 1 | 267 | 147 |
| 2 | 2263 | 139 |
| 0 | 8465 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))) |
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) |
(/.f64 z y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(*.f64 #s(literal -4 binary64) z) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64))) (-.f64 (pow.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64))) (fma.f64 (+.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) (+.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z y) #s(literal -4 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))))))) |
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(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))) |
(/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)) |
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) |
Compiled 16 914 to 1 761 computations (89.6% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 473 | 1 | 474 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 3 | 3 |
| Total | 474 | 7 | 481 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 62.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
| ✓ | 71.5% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
| ✓ | 41.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) |
| ✓ | 68.8% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
| ✓ | 31.7% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| ▶ | 65.7% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
| ✓ | 32.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
Compiled 137 to 115 computations (16.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) | |
| cost-diff | 2 | (-.f64 (/.f64 x y) (/.f64 z y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 49 |
| 0 | 21 | 49 |
| 1 | 36 | 49 |
| 2 | 75 | 49 |
| 3 | 148 | 49 |
| 4 | 285 | 42 |
| 5 | 602 | 39 |
| 6 | 1778 | 39 |
| 7 | 5136 | 39 |
| 0 | 8278 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 x y) |
x |
y |
(/.f64 z y) |
z |
#s(literal 4 binary64) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64))) |
(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)) |
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
(/.f64 x y) |
x |
y |
(/.f64 z y) |
z |
#s(literal 4 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)) | |
| accuracy | 1.7968667433208234 | (-.f64 (/.f64 x y) (/.f64 z y)) | |
| accuracy | 19.93775998664761 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
| 25.0ms | 256× | 0 | valid |
Compiled 41 to 18 computations (56.1% saved)
ival-mult: 6.0ms (36.6% of total)ival-div: 5.0ms (30.5% of total)ival-sub: 2.0ms (12.2% of total)ival-add: 2.0ms (12.2% 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 y) (/.f64 z y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)) |
(/.f64 x y) |
| Outputs |
|---|
(* -1 (/ z y)) |
(- (/ x y) (/ z y)) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(/ x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(/ (- x z) y) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(* -1 (/ (- (* -1 x) (* -1 z)) y)) |
(* -4 (/ (- (* -1 x) (* -1 z)) y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 211.0ms | x | @ | inf | ((- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y)) |
| 1.0ms | y | @ | -inf | ((- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y)) |
| 1.0ms | x | @ | -inf | ((- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y)) |
| 1.0ms | x | @ | 0 | ((- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y)) |
| 1.0ms | y | @ | inf | ((- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 277 |
| 1 | 310 | 277 |
| 2 | 922 | 205 |
| 3 | 3007 | 203 |
| 4 | 7322 | 201 |
| 0 | 8051 | 191 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ z y)) |
(- (/ x y) (/ z y)) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(/ x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(/ (- x z) y) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(* -1 (/ (- (* -1 x) (* -1 z)) y)) |
(* -4 (/ (- (* -1 x) (* -1 z)) y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
| Outputs |
|---|
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(- (/ x y) (/ z y)) |
(/.f64 (-.f64 x z) y) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)) |
(* -4 (/ z y)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64)) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(/.f64 (-.f64 x z) y) |
(* 4 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64)) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(/.f64 (-.f64 x z) y) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64)) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(* 4 (/ (- x z) y)) |
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 (-.f64 x z) #s(literal 4 binary64))) y) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)) |
(* -1 (/ (- (* -1 x) (* -1 z)) y)) |
(/.f64 (-.f64 x z) y) |
(* -4 (/ (- (* -1 x) (* -1 z)) y)) |
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64)) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(/.f64 (-.f64 x z) y) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64)) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(/.f64 (-.f64 x z) y) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 42 |
| 0 | 21 | 36 |
| 1 | 108 | 36 |
| 2 | 1041 | 36 |
| 0 | 8175 | 34 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x y) (/.f64 z y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)) |
(/.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 x z) y) (+.f64 x z))) |
(*.f64 (/.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 x (neg.f64 z)) y)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 y x (*.f64 (neg.f64 y) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y y)))) |
(*.f64 (neg.f64 (-.f64 x z)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 z))) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (/.f64 y z)))) |
(*.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) z)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y))) |
(*.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y x) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))) |
(*.f64 (-.f64 (/.f64 y z) (/.f64 y x)) (*.f64 (*.f64 x z) (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))) |
(*.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y)))) |
(*.f64 (-.f64 (*.f64 x (/.f64 y z)) (*.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y z)))) |
(*.f64 (-.f64 (neg.f64 x) (neg.f64 z)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 x (neg.f64 z)) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 x z)) |
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 (neg.f64 z) y)))))) |
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(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 z) y)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) x (/.f64 (neg.f64 z) y)) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x (neg.f64 z)) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 z)) y)))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(fma.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) y)) |
(fma.f64 (neg.f64 z) (pow.f64 y #s(literal -1 binary64)) (/.f64 x y)) |
(fma.f64 (*.f64 y x) (pow.f64 y #s(literal -2 binary64)) (neg.f64 (*.f64 (/.f64 y y) (/.f64 z y)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) y) (/.f64 x y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (/.f64 (neg.f64 z) y)) |
(fma.f64 z (neg.f64 (pow.f64 y #s(literal -1 binary64))) (/.f64 x y)) |
(fma.f64 z (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x y)) |
(fma.f64 (/.f64 x y) (/.f64 y y) (neg.f64 (*.f64 (/.f64 y y) (/.f64 z y)))) |
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 z) y)) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 y y)) (/.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 y y))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 y z)) (*.f64 (neg.f64 y) (/.f64 y z))) (/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y z)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) y)) (/.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 y) y))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y x) (neg.f64 y))) (/.f64 (*.f64 (/.f64 y x) (neg.f64 z)) (*.f64 (/.f64 y x) (neg.f64 y)))) |
(-.f64 (/.f64 (/.f64 y z) (*.f64 (/.f64 y x) (/.f64 y z))) (/.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y z)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) y)) (/.f64 (*.f64 (/.f64 y x) z) (*.f64 (/.f64 y x) y))) |
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) (*.f64 y (neg.f64 y))) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 y)))) |
(-.f64 (/.f64 (*.f64 x (/.f64 y z)) (*.f64 y (/.f64 y z))) (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (/.f64 y z)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 z)) y)) (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 z)) y))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (/.f64 y y) (/.f64 x y)) (*.f64 (/.f64 y y) (/.f64 z y))) |
(-.f64 (/.f64 (neg.f64 z) y) (/.f64 (neg.f64 x) y)) |
(-.f64 (/.f64 (neg.f64 z) y) (/.f64 x (neg.f64 y))) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 z)) y)) (neg.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 z)) y)))) |
(+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (/.f64 y y) (/.f64 x y)) (neg.f64 (*.f64 (/.f64 y y) (/.f64 z y)))) |
(+.f64 (/.f64 (neg.f64 z) y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x z))) |
(*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (+.f64 x z))) |
(*.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) y)) |
(*.f64 (/.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) y) (/.f64 #s(literal 4 binary64) y)) |
(*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (/.f64 (-.f64 x (neg.f64 z)) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (pow.f64 (/.f64 (-.f64 x (neg.f64 z)) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y x (*.f64 (neg.f64 y) z))) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 z) y) #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 z) y) #s(literal 4 binary64)) (*.f64 (/.f64 (neg.f64 z) y) #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (/.f64 (neg.f64 z) y) #s(literal 4 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (/.f64 (neg.f64 z) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) (/.f64 x y)) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (neg.f64 z) y)) (*.f64 #s(literal 4 binary64) (/.f64 (neg.f64 z) y))) (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) (/.f64 (neg.f64 z) y)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal 4 binary64))) (neg.f64 (/.f64 (-.f64 x (neg.f64 z)) y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) #s(literal 4 binary64))) (neg.f64 (*.f64 y y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))))) (neg.f64 (/.f64 (-.f64 x (neg.f64 z)) y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y x (*.f64 (neg.f64 y) z)))) (neg.f64 (*.f64 y y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z))) (neg.f64 y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (-.f64 x (neg.f64 z)) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) #s(literal 4 binary64)) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) #s(literal 4 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64)) y) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (/.f64 (-.f64 x (neg.f64 z)) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y x (*.f64 (neg.f64 y) z))) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) |
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x (neg.f64 z)) y) (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 x z) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x (neg.f64 z)) y) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 #s(literal 4 binary64) (fma.f64 y x (*.f64 (neg.f64 y) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 4 binary64) (-.f64 x z)))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (*.f64 #s(literal 4 binary64) (/.f64 (neg.f64 z) y))) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) (*.f64 (/.f64 (neg.f64 z) y) #s(literal 4 binary64))) |
(+.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (/.f64 (neg.f64 z) y) #s(literal 4 binary64))) |
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) (/.f64 (neg.f64 z) y))) |
(*.f64 (neg.f64 (neg.f64 x)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 x (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 x (*.f64 y #s(literal 1 binary64))) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
Compiled 7 913 to 1 053 computations (86.7% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 237 | 0 | 237 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 237 | 7 | 244 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 62.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
| ✓ | 71.5% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
| ✓ | 41.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) |
| ✓ | 68.8% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
| ✓ | 31.7% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| ✓ | 65.7% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
| ✓ | 32.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
Compiled 354 to 179 computations (49.4% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
5 calls:
| 6.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | z |
| 4.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 100.0% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
Compiled 27 to 31 computations (-14.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
5 calls:
| 6.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.0% | 3 | x |
| 93.2% | 3 | y |
| 89.9% | 3 | z |
| 99.3% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 99.3% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
Compiled 27 to 31 computations (-14.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
5 calls:
| 17.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| 2.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 2.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.7% | 3 | z |
| 89.4% | 3 | x |
| 73.2% | 2 | y |
| 71.5% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 71.5% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
Compiled 27 to 31 computations (-14.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
2 calls:
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.5% | 1 | z |
| 85.3% | 3 | x |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) |
5 calls:
| 18.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 2.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.4% | 4 | z |
| 70.6% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 70.6% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 61.8% | 3 | y |
| 58.6% | 3 | x |
Compiled 27 to 31 computations (-14.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
2 calls:
| 2.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 2.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.5% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 70.5% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
Compiled 24 to 22 computations (8.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
5 calls:
| 1.0ms | x |
| 1.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 1.0ms | z |
| 1.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.6% | 1 | x |
| 32.6% | 1 | z |
| 32.6% | 1 | y |
| 32.6% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 32.6% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
Compiled 27 to 31 computations (-14.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.02468961702489 | 167900.14732669934 |
| 0.0ms | -352223940099894700.0 | 0.9999566709947367 |
Compiled 16 to 18 computations (-12.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 4.2337094164953325e+111 | 2.6851593439581593e+126 |
| 13.0ms | -8.1709632444117e+132 | -6.316312541689693e+131 |
| 19.0ms | 256× | 0 | valid |
Compiled 656 to 594 computations (9.5% saved)
ival-add: 3.0ms (32.7% of total)ival-mult: 3.0ms (32.7% of total)ival-div: 2.0ms (21.8% of total)ival-sub: 1.0ms (10.9% 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 |
|---|---|---|
| 19.0ms | 5.501074088824003e+142 | 5.482638579535327e+146 |
| 11.0ms | -8.219853437348852e+153 | -7.840541894784182e+151 |
| 21.0ms | 240× | 0 | valid |
Compiled 601 to 543 computations (9.7% saved)
ival-add: 9.0ms (59.7% of total)ival-mult: 3.0ms (19.9% of total)ival-div: 2.0ms (13.3% of total)ival-sub: 1.0ms (6.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.02468961702489 | 167900.14732669934 |
| 0.0ms | -352223940099894700.0 | 0.9999566709947367 |
Compiled 16 to 18 computations (-12.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.02468961702489 | 167900.14732669934 |
| 0.0ms | -352223940099894700.0 | 0.9999566709947367 |
Compiled 16 to 18 computations (-12.5% saved)
| 1× | egg-herbie |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 321 |
| 1 | 87 | 321 |
| 2 | 118 | 321 |
| 3 | 166 | 321 |
| 4 | 274 | 321 |
| 5 | 538 | 321 |
| 6 | 1114 | 299 |
| 7 | 4280 | 299 |
| 8 | 7833 | 299 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200000000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))))) |
(if (<=.f64 x #s(literal -659999999999999965578070024154417499192252968885038102252088594766540039176524508835768660953125796225665783578908527217720892063744 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (if (<=.f64 x #s(literal 25000000000000000388985403236671075606705034923026535834244264510770844529118892581624634747876186191905157021696000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -101999999999999999135488896032022544062443953263099318425760851666695301867010514234541355568951442489482186217795300896081619707182524103021706541531136 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 350000000000000008310901325527886875093030274740038765615712746034583100339707200398862169875629152945271089196844040626527694609461528550703104 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200000000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200000000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200000000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))))) |
(if (or (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200000000000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))) |
(if (<=.f64 x #s(literal -659999999999999965578070024154417499192252968885038102252088594766540039176524508835768660953125796225665783578908527217720892063744 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (if (<=.f64 x #s(literal 25000000000000000388985403236671075606705034923026535834244264510770844529118892581624634747876186191905157021696000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))))) |
(if (or (<=.f64 x #s(literal -659999999999999965578070024154417499192252968885038102252088594766540039176524508835768660953125796225665783578908527217720892063744 binary64)) (not (<=.f64 x #s(literal 25000000000000000388985403236671075606705034923026535834244264510770844529118892581624634747876186191905157021696000 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))) |
(if (<=.f64 x #s(literal -101999999999999999135488896032022544062443953263099318425760851666695301867010514234541355568951442489482186217795300896081619707182524103021706541531136 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 350000000000000008310901325527886875093030274740038765615712746034583100339707200398862169875629152945271089196844040626527694609461528550703104 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))))) |
(if (or (<=.f64 x #s(literal -101999999999999999135488896032022544062443953263099318425760851666695301867010514234541355568951442489482186217795300896081619707182524103021706541531136 binary64)) (not (<=.f64 x #s(literal 350000000000000008310901325527886875093030274740038765615712746034583100339707200398862169875629152945271089196844040626527694609461528550703104 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200000000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)))) |
(if (or (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200000000000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200000000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)))) |
(if (or (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200000000000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 144 |
| 0 | 46 | 134 |
| 1 | 211 | 130 |
| 2 | 1546 | 124 |
| 0 | 8218 | 124 |
| 0 | 120 | 423 |
| 1 | 360 | 410 |
| 2 | 979 | 335 |
| 3 | 3701 | 321 |
| 0 | 8194 | 283 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 365 to 130 computations (64.4% saved)
Compiled 668 to 154 computations (76.9% saved)
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