
Time bar (total: 8.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 694.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-div: 157.0ms (41.6% of total)ival-add: 147.0ms (38.9% of total)ival-mult: 56.0ms (14.8% of total)ival-true: 6.0ms (1.6% of total)exact: 6.0ms (1.6% of total)ival-assert: 3.0ms (0.8% of total)adjust: 2.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 0 | 0 | - | 0 | - | (*.f64 y x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 27.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-add: 5.0ms (38.7% of total)ival-mult: 4.0ms (31% of total)ival-div: 3.0ms (23.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 88 |
| 1 | 88 | 84 |
| 2 | 216 | 84 |
| 3 | 332 | 84 |
| 4 | 458 | 84 |
| 5 | 720 | 81 |
| 6 | 2165 | 81 |
| 7 | 5174 | 81 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 22 | 9 |
| 2 | 43 | 9 |
| 3 | 69 | 9 |
| 4 | 108 | 9 |
| 5 | 196 | 9 |
| 6 | 808 | 9 |
| 7 | 5265 | 9 |
| 0 | 8112 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| Outputs |
|---|
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 y x) |
y |
z |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x y))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) x 2 (* y x) y z) |
| 1.0ms | y | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) x 2 (* y x) y z) |
| 1.0ms | x | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) x 2 (* y x) y z) |
| 1.0ms | x | @ | 0 | ((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) x 2 (* y x) y z) |
| 1.0ms | y | @ | inf | ((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) x 2 (* y x) y z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 334 |
| 1 | 236 | 334 |
| 2 | 676 | 334 |
| 3 | 2515 | 292 |
| 4 | 7510 | 292 |
| 0 | 8022 | 271 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x y))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx x #s(hole binary64 x)) |
#s(approx x x) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (* y x) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 (-.f64 (/.f64 z x) #s(literal -1/2 binary64)) y) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (+.f64 (-.f64 (/.f64 z x) #s(literal -1/2 binary64)) y) x)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx y #s(hole binary64 y)) |
#s(approx y y) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x y))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx z #s(hole binary64 z)) |
#s(approx z z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 0 | 12 | 26 |
| 1 | 51 | 26 |
| 0 | 418 | 24 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
(/.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 y x) |
y |
z |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 y x z) (fma.f64 y x z))) (-.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 y x z))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 y x z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 z (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(fma.f64 y x (+.f64 (/.f64 x #s(literal 2 binary64)) z)) |
(fma.f64 x y (+.f64 (/.f64 x #s(literal 2 binary64)) z)) |
(-.f64 (+.f64 z (/.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 y) x)) |
(-.f64 (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z)) (/.f64 (*.f64 z z) (-.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z))) |
(-.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) x) z)) |
(+.f64 (+.f64 z (/.f64 x #s(literal 2 binary64))) (*.f64 y x)) |
(+.f64 (/.f64 (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) (pow.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(+.f64 (fma.f64 y x z) (/.f64 x #s(literal 2 binary64))) |
(+.f64 z (fma.f64 y x (/.f64 x #s(literal 2 binary64)))) |
(+.f64 (fma.f64 y x (/.f64 x #s(literal 2 binary64))) z) |
(+.f64 (*.f64 y x) (+.f64 (/.f64 x #s(literal 2 binary64)) z)) |
(+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 y x z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (/.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) y) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (/.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(fma.f64 y x (/.f64 x #s(literal 2 binary64))) |
(fma.f64 x y (/.f64 x #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)))) |
(-.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 x) y)) |
(-.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x)) |
(+.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (/.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (/.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 y x) (/.f64 x #s(literal 2 binary64))) |
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 y)) x)) |
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 x) #s(literal -2 binary64)) |
(/.f64 x #s(literal 2 binary64)) |
(neg.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) |
(neg.f64 (/.f64 x #s(literal -2 binary64))) |
x |
#s(literal 2 binary64) |
(*.f64 y x) |
(*.f64 x y) |
y |
z |
Compiled 1 038 to 190 computations (81.7% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 56 | 7 | 63 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 57 | 7 | 64 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) z) |
| 76.0% | (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) | |
| 100.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) | |
| ▶ | 70.2% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ▶ | 55.5% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
| ▶ | 32.1% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| ▶ | 46.3% | #s(approx (+ (+ (/ x 2) (* y x)) z) z) |
Compiled 190 to 150 computations (21.1% saved)
| Inputs |
|---|
(+.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) z) |
(+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) |
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 y x) |
y |
z |
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 #s(literal 1/2 binary64) x z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(-.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 z)) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* x (+ 1/2 (/ z x))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ z x)) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (- y -1/2) #s(hole binary64 1/2)) |
#s(approx (- y -1/2) #s(hole binary64 (+ 1/2 y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x y))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x y))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (- y -1/2) #s(hole binary64 y)) |
#s(approx (- y -1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* z (+ 1 (* 1/2 (/ x z)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* z (- (* -1/2 (/ x z)) 1))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) (* 1/2 x) 1/2 x (* y x) y z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) -1/2) |
| 1.0ms | x | @ | inf | ((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) (* 1/2 x) 1/2 x (* y x) y z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) -1/2) |
| 1.0ms | y | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) (* 1/2 x) 1/2 x (* y x) y z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) -1/2) |
| 1.0ms | x | @ | 0 | ((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) (* 1/2 x) 1/2 x (* y x) y z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) -1/2) |
| 1.0ms | y | @ | inf | ((+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (/ x 2) (* 1/2 x) 1/2 x (* y x) y z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) -1/2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 494 |
| 1 | 312 | 494 |
| 2 | 859 | 494 |
| 3 | 3024 | 494 |
| 4 | 5782 | 494 |
| 0 | 8020 | 452 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 z)) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* x (+ 1/2 (/ z x))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ z x)) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (- y -1/2) #s(hole binary64 1/2)) |
#s(approx (- y -1/2) #s(hole binary64 (+ 1/2 y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x y))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x y))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (- y -1/2) #s(hole binary64 y)) |
#s(approx (- y -1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* z (+ 1 (* 1/2 (/ x z)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* z (- (* -1/2 (/ x z)) 1))))) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx x #s(hole binary64 x)) |
#s(approx x x) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (* y x) (*.f64 y x)) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 z)) |
#s(approx (+ (* 1/2 x) z) z) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (* 1/2 x) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (* (- y -1/2) x) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) z) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* x (+ 1/2 (/ z x))))) |
#s(approx (+ (* 1/2 x) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ z x)) 1/2))))) |
#s(approx (+ (* 1/2 x) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx y #s(hole binary64 y)) |
#s(approx y y) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- y -1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (* (- y -1/2) x) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (- y -1/2) #s(hole binary64 1/2)) |
#s(approx (- y -1/2) #s(literal 1/2 binary64)) |
#s(approx (- y -1/2) #s(hole binary64 (+ 1/2 y))) |
#s(approx (- y -1/2) (-.f64 y #s(literal -1/2 binary64))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x y))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x y))) |
#s(approx (* (- y -1/2) x) (*.f64 y x)) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (* (- y -1/2) x) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (- y -1/2) #s(hole binary64 y)) |
#s(approx (- y -1/2) y) |
#s(approx (- y -1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y)))))) |
#s(approx (- y -1/2) (-.f64 y #s(literal -1/2 binary64))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (* (- y -1/2) x) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx z #s(hole binary64 z)) |
#s(approx z z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* z (+ 1 (* 1/2 (/ x z)))))) |
#s(approx (+ (* 1/2 x) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* z (- (* -1/2 (/ x z)) 1))))) |
#s(approx (+ (* 1/2 x) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 107 |
| 0 | 29 | 107 |
| 1 | 119 | 107 |
| 0 | 943 | 101 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) z) |
(+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) |
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 y x) |
y |
z |
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 #s(literal 1/2 binary64) x z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(-.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (-.f64 z (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 y x z) (fma.f64 y x z))) (-.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 y x z))) |
(/.f64 (+.f64 (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x z) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 y x z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) z)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (*.f64 z (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))) |
(fma.f64 y x (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z)) |
(fma.f64 x y (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z)) |
(-.f64 (+.f64 z #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 y) x)) |
(-.f64 (/.f64 (pow.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (-.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) z)) (/.f64 (*.f64 z z) (-.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) z))) |
(-.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (neg.f64 y) x) z)) |
(+.f64 (+.f64 z #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 y x)) |
(+.f64 (/.f64 (pow.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))))) |
(+.f64 (fma.f64 y x z) #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 z (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))) |
(+.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) z) |
(+.f64 (*.f64 y x) (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z)) |
(+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 y x z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (neg.f64 y) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) |
(fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 x y #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (/.f64 (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)))) |
(-.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (neg.f64 x) y)) |
(-.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (neg.f64 y) x)) |
(+.f64 (/.f64 (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 y x) #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (neg.f64 (neg.f64 y)) x)) |
(+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) |
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(*.f64 y x) |
(*.f64 x y) |
y |
z |
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 z (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 z) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 z (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))) |
(fma.f64 #s(literal 1/2 binary64) x z) |
(fma.f64 x #s(literal 1/2 binary64) z) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) z))) |
(-.f64 z (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 z (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 z (-.f64 z (*.f64 #s(literal 1/2 binary64) x)))))) |
(+.f64 z (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (-.f64 y #s(literal -1/2 binary64)) x) |
(*.f64 x (-.f64 y #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) x) (+.f64 #s(literal -1/2 binary64) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) x) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 #s(literal -1/2 binary64) y)) |
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1/4 binary64))) (neg.f64 (+.f64 #s(literal -1/2 binary64) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (+.f64 #s(literal -1/2 binary64) y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) y))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))) |
(-.f64 y #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
Compiled 2 413 to 318 computations (86.8% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 113 | 2 | 115 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 114 | 8 | 122 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 y x (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z)) |
| ▶ | 76.0% | (+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
| ▶ | 100.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
| ✓ | 70.2% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ✓ | 55.5% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
| ▶ | 26.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
| ✓ | 32.1% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| ✓ | 46.3% | #s(approx (+ (+ (/ x 2) (* y x)) z) z) |
Compiled 111 to 88 computations (20.7% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) |
#s(approx (- y -1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(-.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
z |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) |
(*.f64 y x) |
(fma.f64 y x (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z)) |
(+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) |
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 z)) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 z)) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* x (+ 1/2 (/ z x))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x))))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ z x)) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (- y -1/2) #s(hole binary64 1/2)) |
#s(approx (- y -1/2) #s(hole binary64 (+ 1/2 y))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x y))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (- y -1/2) #s(hole binary64 y)) |
#s(approx (- y -1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x y))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x y))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* z (+ 1 (/ (* x (+ 1/2 y)) z))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* z (+ 1 (* 1/2 (/ x z)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* -1 (* z (- (* -1/2 (/ x z)) 1))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) 1/2 x (+ (+ (/ x 2) (* y x)) z) (+ (* (- y -1/2) x) z) (- y -1/2) y -1/2 z (+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (* y x) (+ (* y x) (+ (/ x 2) z)) (+ (/ x 2) z) (/ x 2) (* 1/2 x)) |
| 1.0ms | x | @ | inf | ((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) 1/2 x (+ (+ (/ x 2) (* y x)) z) (+ (* (- y -1/2) x) z) (- y -1/2) y -1/2 z (+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (* y x) (+ (* y x) (+ (/ x 2) z)) (+ (/ x 2) z) (/ x 2) (* 1/2 x)) |
| 1.0ms | y | @ | -inf | ((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) 1/2 x (+ (+ (/ x 2) (* y x)) z) (+ (* (- y -1/2) x) z) (- y -1/2) y -1/2 z (+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (* y x) (+ (* y x) (+ (/ x 2) z)) (+ (/ x 2) z) (/ x 2) (* 1/2 x)) |
| 1.0ms | y | @ | inf | ((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) 1/2 x (+ (+ (/ x 2) (* y x)) z) (+ (* (- y -1/2) x) z) (- y -1/2) y -1/2 z (+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (* y x) (+ (* y x) (+ (/ x 2) z)) (+ (/ x 2) z) (/ x 2) (* 1/2 x)) |
| 1.0ms | x | @ | 0 | ((+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x) (- y -1/2) 1/2 x (+ (+ (/ x 2) (* y x)) z) (+ (* (- y -1/2) x) z) (- y -1/2) y -1/2 z (+ (+ (/ x 2) (* y x)) z) (+ (/ x 2) (* y x)) (* y x) (+ (* y x) (+ (/ x 2) z)) (+ (/ x 2) z) (/ x 2) (* 1/2 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 880 |
| 1 | 388 | 880 |
| 2 | 1042 | 880 |
| 3 | 3361 | 880 |
| 4 | 6098 | 880 |
| 0 | 8039 | 801 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 z)) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 z)) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* x (+ 1/2 (/ z x))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x))))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ z x)) 1/2))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (- y -1/2) #s(hole binary64 1/2)) |
#s(approx (- y -1/2) #s(hole binary64 (+ 1/2 y))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x y))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (- y -1/2) #s(hole binary64 y)) |
#s(approx (- y -1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x y))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x y))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* z (+ 1 (/ (* x (+ 1/2 y)) z))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* z (+ 1 (* 1/2 (/ x z)))))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* -1 (* z (- (* -1/2 (/ x z)) 1))))) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (* (- y -1/2) x) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx x #s(hole binary64 x)) |
#s(approx x x) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 z)) |
#s(approx (+ (* (- y -1/2) x) z) z) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (+ (* (- y -1/2) x) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (* y x) (*.f64 y x)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) z) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) z) #s(hole binary64 z)) |
#s(approx (+ (/ x 2) z) z) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (/ x 2) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x))) |
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (* (- y -1/2) x) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (* (- y -1/2) x) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* x (+ 1/2 (/ z x))))) |
#s(approx (+ (/ x 2) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x))))))) |
#s(approx (+ (* (- y -1/2) x) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ z x)) 1/2))))) |
#s(approx (+ (/ x 2) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (- y -1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (* (- y -1/2) x) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (- y -1/2) #s(hole binary64 1/2)) |
#s(approx (- y -1/2) #s(literal 1/2 binary64)) |
#s(approx (- y -1/2) #s(hole binary64 (+ 1/2 y))) |
#s(approx (- y -1/2) (-.f64 y #s(literal -1/2 binary64))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (* (- y -1/2) x) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (+ (* (- y -1/2) x) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx y #s(hole binary64 y)) |
#s(approx y y) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x y))) |
#s(approx (* (- y -1/2) x) (*.f64 y x)) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (* (- y -1/2) x) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (- y -1/2) #s(hole binary64 y)) |
#s(approx (- y -1/2) y) |
#s(approx (- y -1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y)))))) |
#s(approx (- y -1/2) (-.f64 y #s(literal -1/2 binary64))) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x y))) |
#s(approx (+ (* (- y -1/2) x) z) (*.f64 y x)) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (* (- y -1/2) x) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x y))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* y (+ x (* 1/2 (/ x y)))))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x y))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (*.f64 y x)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (* (- y -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (* (- y -1/2) x) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (* (- y -1/2) x) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y))))))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx z #s(hole binary64 z)) |
#s(approx z z) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* z (+ 1 (/ (* x (+ 1/2 y)) z))))) |
#s(approx (+ (* (- y -1/2) x) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* z (+ 1 (* 1/2 (/ x z)))))) |
#s(approx (+ (/ x 2) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1))))) |
#s(approx (+ (* (- y -1/2) x) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* -1 (* z (- (* -1/2 (/ x z)) 1))))) |
#s(approx (+ (/ x 2) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 117 |
| 0 | 33 | 117 |
| 1 | 135 | 117 |
| 0 | 1048 | 113 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) |
#s(approx (- y -1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(-.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
z |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) |
(*.f64 y x) |
(fma.f64 y x (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z)) |
(+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) |
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x) |
(*.f64 x #s(approx (- y -1/2) #s(literal 1/2 binary64))) |
#s(approx (- y -1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z) |
(fma.f64 x (-.f64 y #s(literal -1/2 binary64)) z) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z))) |
(-.f64 z (*.f64 (neg.f64 (-.f64 y #s(literal -1/2 binary64))) x)) |
(-.f64 z (*.f64 (neg.f64 x) (-.f64 y #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) (pow.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (-.f64 y #s(literal -1/2 binary64)) x) z) |
(+.f64 z (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1/4 binary64))) (neg.f64 (+.f64 #s(literal -1/2 binary64) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))) |
(/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (+.f64 #s(literal -1/2 binary64) y)) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) y))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/4 binary64))))) |
(-.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
z |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 2 binary64))) (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 y x))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 y x))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 2 binary64)) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)) (/.f64 (*.f64 z z) (-.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z))) |
(+.f64 (/.f64 (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 y x))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 y x))) (pow.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) #s(literal 2 binary64))))) |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
(+.f64 z #s(approx (+ (/ x 2) (* y x)) (*.f64 y x))) |
#s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x y) |
(/.f64 (-.f64 (*.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 z z)) (-.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) z)) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) (*.f64 y x))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (-.f64 (*.f64 z z) (*.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 (*.f64 y x) z) #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) (-.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) #s(literal 2 binary64))) (-.f64 (-.f64 (*.f64 y x) z) #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) (-.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(fma.f64 y x (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z)) |
(fma.f64 x y (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 y x) z) #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 y x) z) #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))) |
(-.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) (*.f64 (neg.f64 x) y)) |
(-.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) (*.f64 (neg.f64 y) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) (-.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) (-.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(+.f64 (fma.f64 y x z) #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) z) |
(+.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) (*.f64 y x)) |
(+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 y x z)) |
(+.f64 (*.f64 y x) (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z)) |
(+.f64 z (fma.f64 y x #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (-.f64 z #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z)) |
(/.f64 (+.f64 (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z)) (/.f64 (*.f64 z z) (-.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z))) |
(+.f64 (/.f64 (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (fma.f64 z (-.f64 z #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))) |
(+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z) |
(+.f64 z #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
Compiled 2 746 to 321 computations (88.3% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 117 | 2 | 119 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 4 | 4 |
| Total | 119 | 8 | 127 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.5% | (fma.f64 y x #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x))) |
| ▶ | 76.0% | (fma.f64 y x #s(approx (+ (/ x 2) z) z)) |
| ✓ | 100.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
| ✓ | 70.2% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ✓ | 55.5% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
| ✓ | 26.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
| ✓ | 32.1% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| ✓ | 46.3% | #s(approx (+ (+ (/ x 2) (* y x)) z) z) |
Compiled 108 to 86 computations (20.4% saved)
| Inputs |
|---|
(fma.f64 y x #s(approx (+ (/ x 2) z) z)) |
y |
x |
#s(approx (+ (/ x 2) z) z) |
z |
(fma.f64 y x #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (/ x 2) z) #s(hole binary64 z)) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* x (+ 1/2 (/ z x))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ z x)) 1/2))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x y))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* z (+ 1 (* 1/2 (/ x z)))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* -1 (* z (- (* -1/2 (/ x z)) 1))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (* y x) (+ (/ x 2) z)) y x (+ (/ x 2) z) z (+ (* y x) (+ (/ x 2) z)) (+ (/ x 2) z) (* 1/2 x) 1/2) |
| 1.0ms | x | @ | inf | ((+ (* y x) (+ (/ x 2) z)) y x (+ (/ x 2) z) z (+ (* y x) (+ (/ x 2) z)) (+ (/ x 2) z) (* 1/2 x) 1/2) |
| 1.0ms | z | @ | -inf | ((+ (* y x) (+ (/ x 2) z)) y x (+ (/ x 2) z) z (+ (* y x) (+ (/ x 2) z)) (+ (/ x 2) z) (* 1/2 x) 1/2) |
| 0.0ms | y | @ | -inf | ((+ (* y x) (+ (/ x 2) z)) y x (+ (/ x 2) z) z (+ (* y x) (+ (/ x 2) z)) (+ (/ x 2) z) (* 1/2 x) 1/2) |
| 0.0ms | x | @ | 0 | ((+ (* y x) (+ (/ x 2) z)) y x (+ (/ x 2) z) z (+ (* y x) (+ (/ x 2) z)) (+ (/ x 2) z) (* 1/2 x) 1/2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 307 |
| 1 | 238 | 307 |
| 2 | 647 | 307 |
| 3 | 2411 | 279 |
| 0 | 8245 | 244 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (/ x 2) z) #s(hole binary64 z)) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* x (+ 1/2 (/ z x))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ z x)) 1/2))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x y))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* z (+ 1 (* 1/2 (/ x z)))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* -1 (* z (- (* -1/2 (/ x z)) 1))))) |
| Outputs |
|---|
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) z) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (* x (+ 1/2 y))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx x #s(hole binary64 x)) |
#s(approx x x) |
#s(approx (+ (/ x 2) z) #s(hole binary64 z)) |
#s(approx (+ (/ x 2) z) z) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (/ x 2) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x (+ 1/2 y)))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x)))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* x (+ 1/2 (/ z x))))) |
#s(approx (+ (/ x 2) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ z x)) 1/2))))) |
#s(approx (+ (/ x 2) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (* 1/2 x)))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx y #s(hole binary64 y)) |
#s(approx y y) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x y))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (*.f64 x y)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y)))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y))))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ (* 1/2 x) (* x y)))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
#s(approx z #s(hole binary64 z)) |
#s(approx z z) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z)))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* z (+ 1 (* 1/2 (/ x z)))))) |
#s(approx (+ (/ x 2) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1))))) |
#s(approx (+ (* y x) (+ (/ x 2) z)) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
#s(approx (+ (/ x 2) z) #s(hole binary64 (* -1 (* z (- (* -1/2 (/ x z)) 1))))) |
#s(approx (+ (/ x 2) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 0 | 16 | 45 |
| 1 | 62 | 45 |
| 0 | 437 | 45 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x #s(approx (+ (/ x 2) z) z)) |
y |
x |
#s(approx (+ (/ x 2) z) z) |
z |
(fma.f64 y x #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 #s(approx (+ (/ x 2) z) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 #s(approx (+ (/ x 2) z) z) (*.f64 x y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (/ x 2) z) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) #s(approx (+ (/ x 2) z) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) z) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (/ x 2) z) z) (-.f64 #s(approx (+ (/ x 2) z) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (/ x 2) z) z) #s(literal 2 binary64))) (-.f64 (*.f64 x y) #s(approx (+ (/ x 2) z) z))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) z) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (/ x 2) z) z) #s(approx (+ (/ x 2) z) z) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) #s(approx (+ (/ x 2) z) z))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) z) z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (/ x 2) z) z) (-.f64 #s(approx (+ (/ x 2) z) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 x y #s(approx (+ (/ x 2) z) z)) |
(fma.f64 y x #s(approx (+ (/ x 2) z) z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (+ (/ x 2) z) z))) (/.f64 (pow.f64 #s(approx (+ (/ x 2) z) z) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (+ (/ x 2) z) z)))) |
(-.f64 #s(approx (+ (/ x 2) z) z) (*.f64 (neg.f64 x) y)) |
(-.f64 #s(approx (+ (/ x 2) z) z) (*.f64 (neg.f64 y) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 #s(approx (+ (/ x 2) z) z) (-.f64 #s(approx (+ (/ x 2) z) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (+ (/ x 2) z) z) #s(literal 3 binary64)) (fma.f64 #s(approx (+ (/ x 2) z) z) (-.f64 #s(approx (+ (/ x 2) z) z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 x y) #s(approx (+ (/ x 2) z) z)) |
(+.f64 #s(approx (+ (/ x 2) z) z) (*.f64 x y)) |
y |
x |
#s(approx (+ (/ x 2) z) z) |
z |
(/.f64 (-.f64 (pow.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x y) #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 x y #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 y x #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x))))) |
(-.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (neg.f64 x) y)) |
(-.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (neg.f64 y) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (fma.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 x y) #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x y)) |
#s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
Compiled 1 119 to 119 computations (89.4% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 52 | 0 | 52 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 6 | 6 |
| Total | 52 | 8 | 60 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 55.5% | (fma.f64 y x #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | 76.0% | (fma.f64 y x #s(approx (+ (/ x 2) z) z)) |
| ✓ | 100.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
| ✓ | 70.2% | #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| ✓ | 55.5% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
| ✓ | 26.0% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
| ✓ | 32.1% | #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| ✓ | 46.3% | #s(approx (+ (+ (/ x 2) (* y x)) z) z) |
Compiled 263 to 128 computations (51.3% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 y x #s(approx (+ (/ x 2) z) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
(fma.f64 y x #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 y x (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z)) |
(+.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) z) |
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| Outputs |
|---|
(+.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) z) |
5 calls:
| 6.0ms | x |
| 4.0ms | z |
| 4.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 4.0ms | y |
| 4.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 100.0% | 1 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 y x #s(approx (+ (/ x 2) z) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
(fma.f64 y x #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 y x (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z)) |
| Outputs |
|---|
(fma.f64 y x (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z)) |
5 calls:
| 15.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 100.0% | 1 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 y x #s(approx (+ (/ x 2) z) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
(fma.f64 y x #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x))) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
5 calls:
| 5.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 100.0% | 1 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 y x #s(approx (+ (/ x 2) z) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x)) |
(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z) |
| Outputs |
|---|
(fma.f64 y x #s(approx (+ (/ x 2) z) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
(fma.f64 y x #s(approx (+ (/ x 2) z) z)) |
5 calls:
| 3.0ms | z |
| 3.0ms | x |
| 2.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 2.0ms | y |
| 2.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.1% | 4 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 87.2% | 5 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 86.4% | 3 | x |
| 99.3% | 3 | y |
| 86.4% | 3 | z |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.1% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
5 calls:
| 4.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.3% | 3 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 61.4% | 5 | x |
| 60.2% | 4 | z |
| 67.8% | 5 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 67.9% | 5 | y |
Compiled 19 to 24 computations (-26.3% saved)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) |
2 calls:
| 1.0ms | y |
| 1.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.0% | 3 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 64.3% | 3 | y |
Compiled 8 to 10 computations (-25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
| Outputs |
|---|
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
5 calls:
| 1.0ms | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 1.0ms | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.3% | 1 | x |
| 46.3% | 1 | (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z) |
| 46.3% | 1 | z |
| 46.3% | 1 | (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) |
| 46.3% | 1 | y |
Compiled 19 to 24 computations (-26.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.09101446931539846 | 281481259795188580.0 |
| 15.0ms | -4563263901101901.0 | -25197893.070653327 |
| 17.0ms | 304× | 0 | valid |
Compiled 468 to 413 computations (11.8% saved)
ival-div: 4.0ms (40.3% of total)ival-add: 3.0ms (30.2% of total)ival-mult: 2.0ms (20.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.3702982677528023e+197 | 3.112328951450826e+205 |
| 16.0ms | -4563263901101901.0 | -25197893.070653327 |
| 18.0ms | 272× | 0 | valid |
Compiled 498 to 428 computations (14.1% saved)
ival-div: 6.0ms (52.8% of total)ival-add: 3.0ms (26.4% of total)ival-mult: 2.0ms (17.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.35544434473723e+147 | 4.626102903140376e+154 |
| 15.0ms | 3.0450602207437773e-30 | 0.005661540597291768 |
| 15.0ms | 8.173587838317546e-158 | 3.5079250791733795e-156 |
| 1.0ms | -4563263901101901.0 | -25197893.070653327 |
| 26.0ms | 432× | 0 | valid |
Compiled 948 to 842 computations (11.2% saved)
ival-add: 4.0ms (37.4% of total)ival-div: 3.0ms (28% of total)ival-mult: 3.0ms (28% of total)ival-true: 0.0ms (0% of total)adjust: 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 |
|---|---|---|
| 1.0ms | 1.35544434473723e+147 | 4.626102903140376e+154 |
| 1.0ms | -4563263901101901.0 | -25197893.070653327 |
Compiled 444 to 392 computations (11.7% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 235 |
| 1 | 75 | 235 |
| 2 | 98 | 235 |
| 3 | 124 | 235 |
| 4 | 175 | 235 |
| 5 | 505 | 235 |
| 6 | 3661 | 235 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) z) |
(fma.f64 y x (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
(if (<=.f64 y #s(literal -26000000 binary64)) (fma.f64 y x #s(approx (+ (/ x 2) z) z)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 y x #s(approx (+ (/ x 2) z) z)))) |
(if (<=.f64 y #s(literal -650000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 259999999999999987297256040620113433388118171990841634186131181154911304817498938765238085118480845930492761667945594674380654584514364820408529134083187803838029529997709050020208149993956241833984 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)))) |
(if (<=.f64 y #s(literal -650000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 4946608029462091/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) z) (if (<=.f64 y #s(literal 4867778304876401/20282409603651670423947251286016 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (if (<=.f64 y #s(literal 1359999999999999962977045654745131796615420178269915189052985500196108524915158463327188879233232704016550365418533105428298767875961215215520972800 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) z) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)))))) |
(if (<=.f64 y #s(literal -650000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 1359999999999999962977045654745131796615420178269915189052985500196108524915158463327188879233232704016550365418533105428298767875961215215520972800 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) z) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)))) |
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
| Outputs |
|---|
(+.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y x)) z) |
(fma.f64 y x (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z)) |
(if (<=.f64 y #s(literal -26000000 binary64)) (fma.f64 y x #s(approx (+ (/ x 2) z) z)) (if (<=.f64 y #s(literal 1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) (fma.f64 y x #s(approx (+ (/ x 2) z) z)))) |
(if (or (<=.f64 y #s(literal -26000000 binary64)) (not (<=.f64 y #s(literal 1/2 binary64)))) (fma.f64 y x #s(approx (+ (/ x 2) z) z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))) |
(if (<=.f64 y #s(literal -650000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 259999999999999987297256040620113433388118171990841634186131181154911304817498938765238085118480845930492761667945594674380654584514364820408529134083187803838029529997709050020208149993956241833984 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)))) |
(if (or (<=.f64 y #s(literal -650000000000000 binary64)) (not (<=.f64 y #s(literal 259999999999999987297256040620113433388118171990841634186131181154911304817498938765238085118480845930492761667945594674380654584514364820408529134083187803838029529997709050020208149993956241833984 binary64)))) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))) |
(if (<=.f64 y #s(literal -650000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 4946608029462091/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) z) (if (<=.f64 y #s(literal 4867778304876401/20282409603651670423947251286016 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (if (<=.f64 y #s(literal 1359999999999999962977045654745131796615420178269915189052985500196108524915158463327188879233232704016550365418533105428298767875961215215520972800 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) z) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)))))) |
(if (<=.f64 y #s(literal -650000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) (if (<=.f64 y #s(literal 1359999999999999962977045654745131796615420178269915189052985500196108524915158463327188879233232704016550365418533105428298767875961215215520972800 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) z) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)))) |
(if (or (<=.f64 y #s(literal -650000000000000 binary64)) (not (<=.f64 y #s(literal 1359999999999999962977045654745131796615420178269915189052985500196108524915158463327188879233232704016550365418533105428298767875961215215520972800 binary64)))) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)) #s(approx (+ (+ (/ x 2) (* y x)) z) z)) |
#s(approx (+ (+ (/ x 2) (* y x)) z) z) |
| 1× | done |
Compiled 235 to 58 computations (75.3% saved)
Compiled 488 to 132 computations (73% saved)
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