
Time bar (total: 4.0s)
| 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 9 to 9 computations (0% saved)
| 1.3s | 8 254× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
ival-add: 362.0ms (84.3% of total)ival-mult: 52.0ms (12.1% of total)ival-true: 6.0ms (1.4% of total)exact: 5.0ms (1.2% of total)adjust: 3.0ms (0.7% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 z #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 49.0ms | 512× | 0 | valid |
Compiled 45 to 25 computations (44.4% saved)
ival-add: 5.0ms (53.2% of total)ival-mult: 3.0ms (31.9% 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 | 27 | 77 |
| 1 | 96 | 77 |
| 2 | 345 | 71 |
| 3 | 1843 | 70 |
| 4 | 5474 | 70 |
| 0 | 7 | 7 |
| 0 | 10 | 7 |
| 1 | 21 | 7 |
| 2 | 62 | 7 |
| 3 | 327 | 7 |
| 4 | 1201 | 7 |
| 5 | 5031 | 7 |
| 0 | 8028 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x)) |
(sort x y)
Compiled 7 to 7 computations (0% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
Compiled 7 to 7 computations (0% saved)
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 z #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 0 | 10 | 17 |
| 1 | 21 | 17 |
| 2 | 62 | 17 |
| 3 | 327 | 17 |
| 4 | 1201 | 17 |
| 5 | 5031 | 17 |
| 0 | 8028 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
(+.f64 x y) |
x |
y |
(+.f64 z #s(literal 1 binary64)) |
z |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
(+.f64 z #s(literal 1 binary64)) |
(-.f64 z #s(literal -1 binary64)) |
z |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 z #s(literal 1 binary64)) | |
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.01171875 | (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
| 20.0ms | 256× | 0 | valid |
Compiled 19 to 9 computations (52.6% saved)
ival-add: 3.0ms (66.8% of total)ival-mult: 2.0ms (44.5% 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)| Inputs |
|---|
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
(+.f64 x y) |
(+.f64 z #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ (* x (+ 1 z)) (* y (+ 1 z))))) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))))) |
#s(approx (+ x y) #s(hole binary64 x)) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* y (+ 1 (+ z (/ (* x (+ 1 z)) y)))))) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y))))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ x y))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ x (+ y (* z (+ x y)))))) |
#s(approx (+ z 1) #s(hole binary64 1)) |
#s(approx (+ z 1) #s(hole binary64 (+ 1 z))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* z (+ x y)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* z (+ x (+ y (+ (/ x z) (/ y z))))))) |
#s(approx (+ z 1) #s(hole binary64 z)) |
#s(approx (+ z 1) #s(hole binary64 (* z (+ 1 (/ 1 z))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((* (+ x y) (+ z 1)) (+ x y) (+ z 1)) |
| 0.0ms | x | @ | inf | ((* (+ x y) (+ z 1)) (+ x y) (+ z 1)) |
| 0.0ms | x | @ | -inf | ((* (+ x y) (+ z 1)) (+ x y) (+ z 1)) |
| 0.0ms | z | @ | -inf | ((* (+ x y) (+ z 1)) (+ x y) (+ z 1)) |
| 0.0ms | y | @ | inf | ((* (+ x y) (+ z 1)) (+ x y) (+ z 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 279 |
| 1 | 266 | 279 |
| 2 | 1124 | 275 |
| 3 | 4164 | 271 |
| 0 | 8447 | 261 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ (* x (+ 1 z)) (* y (+ 1 z))))) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))))) |
#s(approx (+ x y) #s(hole binary64 x)) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* y (+ 1 (+ z (/ (* x (+ 1 z)) y)))))) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y))))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ x y))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ x (+ y (* z (+ x y)))))) |
#s(approx (+ z 1) #s(hole binary64 1)) |
#s(approx (+ z 1) #s(hole binary64 (+ 1 z))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* z (+ x y)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* z (+ x (+ y (+ (/ x z) (/ y z))))))) |
#s(approx (+ z 1) #s(hole binary64 z)) |
#s(approx (+ z 1) #s(hole binary64 (* z (+ 1 (/ 1 z))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z))))))) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ (* x (+ 1 z)) (* y (+ 1 z))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ x y) y) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx (+ x y) (+.f64 y x)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (fma.f64 z x x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) |
#s(approx (+ x y) #s(hole binary64 x)) |
#s(approx (+ x y) x) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (fma.f64 z x x) (-.f64 (/.f64 y x) #s(literal -1 binary64)))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* y (+ 1 (+ z (/ (* x (+ 1 z)) y)))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (fma.f64 z y y) (-.f64 (/.f64 x y) #s(literal -1 binary64)))) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y))))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (fma.f64 z y y) (-.f64 (/.f64 x y) #s(literal -1 binary64)))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ x y))) |
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ x (+ y (* z (+ x y)))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))) |
#s(approx (+ z 1) #s(hole binary64 1)) |
#s(approx (+ z 1) #s(literal 1 binary64)) |
#s(approx (+ z 1) #s(hole binary64 (+ 1 z))) |
#s(approx (+ z 1) (-.f64 z #s(literal -1 binary64))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* z (+ x y)))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* z (+ x (+ y (+ (/ x z) (/ y z))))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))) |
#s(approx (+ z 1) #s(hole binary64 z)) |
#s(approx (+ z 1) z) |
#s(approx (+ z 1) #s(hole binary64 (* z (+ 1 (/ 1 z))))) |
#s(approx (+ z 1) (-.f64 z #s(literal -1 binary64))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z))))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 0 | 10 | 13 |
| 1 | 47 | 13 |
| 0 | 402 | 13 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
(+.f64 x y) |
(+.f64 z #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x)) |
(*.f64 (+.f64 y x) (-.f64 z #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 y x)) (-.f64 z #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 y x)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 z #s(literal -1 binary64))) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 z #s(literal -1 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 z #s(literal -1 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 y x) (fma.f64 z z #s(literal -1 binary64))) (-.f64 z #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (+.f64 y x)) (*.f64 z (+.f64 y x))) (*.f64 (+.f64 y x) (+.f64 y x))) (-.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 z (+.f64 y x)) (*.f64 z (+.f64 y x)) (-.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (*.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))))) |
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 x y))) |
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (-.f64 x y) (-.f64 z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x y) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))) |
(fma.f64 (-.f64 z #s(literal -1 binary64)) y (*.f64 (-.f64 z #s(literal -1 binary64)) x)) |
(fma.f64 (-.f64 z #s(literal -1 binary64)) x (*.f64 (-.f64 z #s(literal -1 binary64)) y)) |
(fma.f64 #s(literal 1 binary64) (+.f64 y x) (*.f64 z (+.f64 y x))) |
(fma.f64 z (+.f64 y x) (+.f64 y x)) |
(fma.f64 (+.f64 y x) #s(literal 1 binary64) (*.f64 z (+.f64 y x))) |
(fma.f64 (+.f64 y x) z (+.f64 y x)) |
(fma.f64 y (-.f64 z #s(literal -1 binary64)) (*.f64 x (-.f64 z #s(literal -1 binary64)))) |
(fma.f64 x (-.f64 z #s(literal -1 binary64)) (*.f64 y (-.f64 z #s(literal -1 binary64)))) |
(-.f64 (*.f64 z (+.f64 y x)) (*.f64 #s(literal -1 binary64) (+.f64 y x))) |
(-.f64 (*.f64 z (+.f64 y x)) (*.f64 (neg.f64 (+.f64 y x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) (*.f64 x (-.f64 z #s(literal -1 binary64)))) |
(+.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (*.f64 y (-.f64 z #s(literal -1 binary64)))) |
(+.f64 (*.f64 (-.f64 z #s(literal -1 binary64)) y) (*.f64 (-.f64 z #s(literal -1 binary64)) x)) |
(+.f64 (*.f64 (-.f64 z #s(literal -1 binary64)) x) (*.f64 (-.f64 z #s(literal -1 binary64)) y)) |
(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x)) |
(+.f64 (+.f64 y x) (*.f64 z (+.f64 y x))) |
(*.f64 #s(literal 1 binary64) (+.f64 y x)) |
(*.f64 (+.f64 y x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) y)) |
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) y)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(+.f64 y x) |
(+.f64 x y) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) (neg.f64 (-.f64 z #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))) |
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 z #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) z))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z #s(literal 1 binary64)))) |
(-.f64 z #s(literal -1 binary64)) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))) |
(+.f64 #s(literal 1 binary64) z) |
(+.f64 z #s(literal 1 binary64)) |
Compiled 1 257 to 238 computations (81.1% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 81 | 5 | 86 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 82 | 5 | 87 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.8% | (fma.f64 (-.f64 z #s(literal -1 binary64)) y (*.f64 (-.f64 z #s(literal -1 binary64)) x)) |
| ▶ | 50.7% | (*.f64 (+.f64 x y) #s(approx (+ z 1) z)) |
| ▶ | 49.9% | #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) |
| ▶ | 52.3% | #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) |
| ▶ | 51.1% | #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) |
Compiled 108 to 84 computations (22.2% saved)
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ z 1) z) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 (+.f64 x y) #s(approx (+ z 1) z)) | |
| cost-diff | 0 | (fma.f64 z y y) | |
| cost-diff | 0 | #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) | |
| cost-diff | 0 | (fma.f64 z x x) | |
| cost-diff | 0 | #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) | |
| cost-diff | 0 | (-.f64 z #s(literal -1 binary64)) | |
| cost-diff | 1 | (*.f64 (-.f64 z #s(literal -1 binary64)) x) | |
| cost-diff | 2 | (fma.f64 (-.f64 z #s(literal -1 binary64)) y (*.f64 (-.f64 z #s(literal -1 binary64)) x)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 94 |
| 0 | 31 | 92 |
| 1 | 57 | 92 |
| 2 | 120 | 92 |
| 3 | 475 | 90 |
| 4 | 1823 | 90 |
| 5 | 5458 | 90 |
| 0 | 8146 | 90 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 z #s(literal -1 binary64)) y (*.f64 (-.f64 z #s(literal -1 binary64)) x)) |
(-.f64 z #s(literal -1 binary64)) |
z |
#s(literal -1 binary64) |
y |
(*.f64 (-.f64 z #s(literal -1 binary64)) x) |
x |
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) |
(fma.f64 z x x) |
z |
x |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) |
(fma.f64 z y y) |
z |
y |
(*.f64 (+.f64 x y) #s(approx (+ z 1) z)) |
(+.f64 x y) |
x |
y |
#s(approx (+ z 1) z) |
z |
| Outputs |
|---|
(fma.f64 (-.f64 z #s(literal -1 binary64)) y (*.f64 (-.f64 z #s(literal -1 binary64)) x)) |
(*.f64 (+.f64 x y) (-.f64 z #s(literal -1 binary64))) |
(-.f64 z #s(literal -1 binary64)) |
z |
#s(literal -1 binary64) |
y |
(*.f64 (-.f64 z #s(literal -1 binary64)) x) |
(fma.f64 x z x) |
x |
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) |
#s(approx (* (+ x y) (+ z 1)) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 x z x)) |
(fma.f64 z x x) |
(fma.f64 x z x) |
z |
x |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y)) |
(fma.f64 z y y) |
(fma.f64 y z y) |
z |
y |
(*.f64 (+.f64 x y) #s(approx (+ z 1) z)) |
(*.f64 #s(approx (+ z 1) z) (+.f64 x y)) |
(+.f64 x y) |
x |
y |
#s(approx (+ z 1) z) |
z |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x y) | |
| accuracy | 0.01171875 | (*.f64 (+.f64 x y) #s(approx (+ z 1) z)) | |
| accuracy | 31.483508580667703 | #s(approx (+ z 1) z) | |
| accuracy | 0.0 | (fma.f64 z y y) | |
| accuracy | 32.07938046860623 | #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) | |
| accuracy | 0.0 | (fma.f64 z x x) | |
| accuracy | 30.52079025710709 | #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) | |
| accuracy | 0.0 | (+.f64 y x) | |
| accuracy | 31.295049295063873 | #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) | |
| accuracy | 0.0 | (-.f64 z #s(literal -1 binary64)) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 z #s(literal -1 binary64)) x) | |
| accuracy | 0.7578042428166806 | (fma.f64 (-.f64 z #s(literal -1 binary64)) y (*.f64 (-.f64 z #s(literal -1 binary64)) x)) |
| 74.0ms | 256× | 0 | valid |
Compiled 81 to 19 computations (76.5% saved)
ival-mult: 22.0ms (73.1% of total)ival-add: 6.0ms (19.9% of total)ival-sub: 2.0ms (6.6% 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)| Inputs |
|---|
(fma.f64 (-.f64 z #s(literal -1 binary64)) y (*.f64 (-.f64 z #s(literal -1 binary64)) x)) |
(*.f64 (-.f64 z #s(literal -1 binary64)) x) |
(-.f64 z #s(literal -1 binary64)) |
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) |
(+.f64 y x) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) |
(fma.f64 z x x) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) |
(fma.f64 z y y) |
(*.f64 (+.f64 x y) #s(approx (+ z 1) z)) |
(+.f64 x y) |
#s(approx (+ z 1) z) |
| Outputs |
|---|
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (+ (* x (+ 1 z)) (* y (+ 1 z))))) |
#s(approx (* (- z -1) x) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ (* x (+ 1 z)) (* y (+ 1 z))))) |
#s(approx (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx (+ (* z x) x) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))))) |
#s(approx (+ y x) #s(hole binary64 x)) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ x y) #s(hole binary64 x)) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (+ (* z x) x) #s(hole binary64 (* -1 (* x (- (* -1 z) 1))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* y (+ 1 (+ z (/ (* x (+ 1 z)) y)))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* y (+ 1 (+ z (/ (* x (+ 1 z)) y)))))) |
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y))))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y))))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* -1 (* y (- (* -1 z) 1))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (+ x y))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (+ x (+ y (* z (+ x y)))))) |
#s(approx (* (- z -1) x) #s(hole binary64 x)) |
#s(approx (* (- z -1) x) #s(hole binary64 (+ x (* x z)))) |
#s(approx (- z -1) #s(hole binary64 1)) |
#s(approx (- z -1) #s(hole binary64 (+ 1 z))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ x y))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ x (+ y (* z (+ x y)))))) |
#s(approx (+ (* z x) x) #s(hole binary64 x)) |
#s(approx (+ (* z x) x) #s(hole binary64 (+ x (* x z)))) |
#s(approx (+ (* z y) y) #s(hole binary64 y)) |
#s(approx (+ (* z y) y) #s(hole binary64 (+ y (* y z)))) |
#s(approx (+ z 1) #s(hole binary64 1)) |
#s(approx (+ z 1) #s(hole binary64 (+ 1 z))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* z (+ x y)))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* z (+ x (+ y (+ (/ x z) (/ y z))))))) |
#s(approx (* (- z -1) x) #s(hole binary64 (* x z))) |
#s(approx (* (- z -1) x) #s(hole binary64 (* z (+ x (/ x z))))) |
#s(approx (- z -1) #s(hole binary64 z)) |
#s(approx (- z -1) #s(hole binary64 (* z (+ 1 (/ 1 z))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* z (+ x y)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* z (+ x (+ y (+ (/ x z) (/ y z))))))) |
#s(approx (+ (* z x) x) #s(hole binary64 (* x z))) |
#s(approx (+ (* z x) x) #s(hole binary64 (* z (+ x (/ x z))))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* y z))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* z (+ y (/ y z))))) |
#s(approx (+ z 1) #s(hole binary64 z)) |
#s(approx (+ z 1) #s(hole binary64 (* z (+ 1 (/ 1 z))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* -1 (* z (+ (* -1 x) (* -1 y)))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (+ x y) z)))))))) |
#s(approx (* (- z -1) x) #s(hole binary64 (* -1 (* z (+ (* -1 x) (* -1 (/ x z))))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z))))))) |
#s(approx (+ (* z x) x) #s(hole binary64 (* -1 (* z (+ (* -1 x) (* -1 (/ x z))))))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* -1 (* z (+ (* -1 y) (* -1 (/ y z))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((+ (* (- z -1) y) (* (- z -1) x)) (* (- z -1) x) (- z -1) (* (+ x y) (+ z 1)) (+ y x) (* (+ x y) (+ z 1)) (+ (* z x) x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (+ x y) (+ z 1)) |
| 1.0ms | x | @ | -inf | ((+ (* (- z -1) y) (* (- z -1) x)) (* (- z -1) x) (- z -1) (* (+ x y) (+ z 1)) (+ y x) (* (+ x y) (+ z 1)) (+ (* z x) x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (+ x y) (+ z 1)) |
| 1.0ms | z | @ | -inf | ((+ (* (- z -1) y) (* (- z -1) x)) (* (- z -1) x) (- z -1) (* (+ x y) (+ z 1)) (+ y x) (* (+ x y) (+ z 1)) (+ (* z x) x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (+ x y) (+ z 1)) |
| 1.0ms | x | @ | 0 | ((+ (* (- z -1) y) (* (- z -1) x)) (* (- z -1) x) (- z -1) (* (+ x y) (+ z 1)) (+ y x) (* (+ x y) (+ z 1)) (+ (* z x) x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (+ x y) (+ z 1)) |
| 1.0ms | z | @ | 0 | ((+ (* (- z -1) y) (* (- z -1) x)) (* (- z -1) x) (- z -1) (* (+ x y) (+ z 1)) (+ y x) (* (+ x y) (+ z 1)) (+ (* z x) x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (+ x y) (+ z 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 773 |
| 1 | 462 | 773 |
| 2 | 1466 | 765 |
| 3 | 4721 | 757 |
| 0 | 8371 | 711 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (+ (* x (+ 1 z)) (* y (+ 1 z))))) |
#s(approx (* (- z -1) x) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ (* x (+ 1 z)) (* y (+ 1 z))))) |
#s(approx (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx (+ (* z x) x) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))))) |
#s(approx (+ y x) #s(hole binary64 x)) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ x y) #s(hole binary64 x)) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (+ (* z x) x) #s(hole binary64 (* -1 (* x (- (* -1 z) 1))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* y (+ 1 (+ z (/ (* x (+ 1 z)) y)))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* y (+ 1 (+ z (/ (* x (+ 1 z)) y)))))) |
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y))))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y))))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* -1 (* y (- (* -1 z) 1))))) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (+ x y))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (+ x (+ y (* z (+ x y)))))) |
#s(approx (* (- z -1) x) #s(hole binary64 x)) |
#s(approx (* (- z -1) x) #s(hole binary64 (+ x (* x z)))) |
#s(approx (- z -1) #s(hole binary64 1)) |
#s(approx (- z -1) #s(hole binary64 (+ 1 z))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ x y))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ x (+ y (* z (+ x y)))))) |
#s(approx (+ (* z x) x) #s(hole binary64 x)) |
#s(approx (+ (* z x) x) #s(hole binary64 (+ x (* x z)))) |
#s(approx (+ (* z y) y) #s(hole binary64 y)) |
#s(approx (+ (* z y) y) #s(hole binary64 (+ y (* y z)))) |
#s(approx (+ z 1) #s(hole binary64 1)) |
#s(approx (+ z 1) #s(hole binary64 (+ 1 z))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* z (+ x y)))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* z (+ x (+ y (+ (/ x z) (/ y z))))))) |
#s(approx (* (- z -1) x) #s(hole binary64 (* x z))) |
#s(approx (* (- z -1) x) #s(hole binary64 (* z (+ x (/ x z))))) |
#s(approx (- z -1) #s(hole binary64 z)) |
#s(approx (- z -1) #s(hole binary64 (* z (+ 1 (/ 1 z))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* z (+ x y)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* z (+ x (+ y (+ (/ x z) (/ y z))))))) |
#s(approx (+ (* z x) x) #s(hole binary64 (* x z))) |
#s(approx (+ (* z x) x) #s(hole binary64 (* z (+ x (/ x z))))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* y z))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* z (+ y (/ y z))))) |
#s(approx (+ z 1) #s(hole binary64 z)) |
#s(approx (+ z 1) #s(hole binary64 (* z (+ 1 (/ 1 z))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* -1 (* z (+ (* -1 x) (* -1 y)))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (+ x y) z)))))))) |
#s(approx (* (- z -1) x) #s(hole binary64 (* -1 (* z (+ (* -1 x) (* -1 (/ x z))))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z))))))) |
#s(approx (+ (* z x) x) #s(hole binary64 (* -1 (* z (+ (* -1 x) (* -1 (/ x z))))))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* -1 (* z (+ (* -1 y) (* -1 (/ y z))))))) |
| Outputs |
|---|
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (fma.f64 y z y)) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (+ (* x (+ 1 z)) (* y (+ 1 z))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))) |
#s(approx (* (- z -1) x) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (* (- z -1) x) (fma.f64 x z x)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (fma.f64 y z y)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ (* x (+ 1 z)) (* y (+ 1 z))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))) |
#s(approx (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) y) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx (+ y x) (+.f64 x y)) |
#s(approx (+ (* z x) x) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (* (- z -1) x) (fma.f64 x z x)) |
#s(approx (+ x y) #s(hole binary64 y)) |
#s(approx (+ y x) y) |
#s(approx (+ x y) #s(hole binary64 (+ x y))) |
#s(approx (+ y x) (+.f64 x y)) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (fma.f64 x z x)) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) (-.f64 #s(literal -1 binary64) (/.f64 y x))) x)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (fma.f64 x z x)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) (-.f64 #s(literal -1 binary64) (/.f64 y x))) x)) |
#s(approx (+ y x) #s(hole binary64 x)) |
#s(approx (+ y x) x) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ x y) #s(hole binary64 x)) |
#s(approx (+ y x) x) |
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) (-.f64 #s(literal -1 binary64) (/.f64 y x))) x)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) (-.f64 #s(literal -1 binary64) (/.f64 y x))) x)) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ (* z x) x) #s(hole binary64 (* -1 (* x (- (* -1 z) 1))))) |
#s(approx (* (- z -1) x) (fma.f64 x z x)) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ (* z y) y) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (+ (* z y) y) (fma.f64 y z y)) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* y (+ 1 (+ z (/ (* x (+ 1 z)) y)))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (fma.f64 (+.f64 (/.f64 (fma.f64 x z x) y) z) y y)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* y (+ 1 (+ z (/ (* x (+ 1 z)) y)))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (fma.f64 (+.f64 (/.f64 (fma.f64 x z x) y) z) y y)) |
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) |
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y))))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (fma.f64 (+.f64 (/.f64 (fma.f64 x z x) y) z) y y)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y))))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (fma.f64 (+.f64 (/.f64 (fma.f64 x z x) y) z) y y)) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) |
#s(approx (+ (* z y) y) #s(hole binary64 (* -1 (* y (- (* -1 z) 1))))) |
#s(approx (+ (* z y) y) (fma.f64 y z y)) |
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (+ x y))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (+.f64 x y)) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (+ x (+ y (* z (+ x y)))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))) |
#s(approx (* (- z -1) x) #s(hole binary64 x)) |
#s(approx (* (- z -1) x) x) |
#s(approx (* (- z -1) x) #s(hole binary64 (+ x (* x z)))) |
#s(approx (* (- z -1) x) (fma.f64 x z x)) |
#s(approx (- z -1) #s(hole binary64 1)) |
#s(approx (- z -1) #s(literal 1 binary64)) |
#s(approx (- z -1) #s(hole binary64 (+ 1 z))) |
#s(approx (- z -1) (-.f64 z #s(literal -1 binary64))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ x y))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (+.f64 x y)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ x (+ y (* z (+ x y)))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))) |
#s(approx (+ (* z x) x) #s(hole binary64 x)) |
#s(approx (* (- z -1) x) x) |
#s(approx (+ (* z x) x) #s(hole binary64 (+ x (* x z)))) |
#s(approx (* (- z -1) x) (fma.f64 x z x)) |
#s(approx (+ (* z y) y) #s(hole binary64 y)) |
#s(approx (+ (* z y) y) y) |
#s(approx (+ (* z y) y) #s(hole binary64 (+ y (* y z)))) |
#s(approx (+ (* z y) y) (fma.f64 y z y)) |
#s(approx (+ z 1) #s(hole binary64 1)) |
#s(approx (- z -1) #s(literal 1 binary64)) |
#s(approx (+ z 1) #s(hole binary64 (+ 1 z))) |
#s(approx (- z -1) (-.f64 z #s(literal -1 binary64))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* z (+ x y)))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (*.f64 (+.f64 x y) z)) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* z (+ x (+ y (+ (/ x z) (/ y z))))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))) |
#s(approx (* (- z -1) x) #s(hole binary64 (* x z))) |
#s(approx (* (- z -1) x) (*.f64 x z)) |
#s(approx (* (- z -1) x) #s(hole binary64 (* z (+ x (/ x z))))) |
#s(approx (* (- z -1) x) (fma.f64 x z x)) |
#s(approx (- z -1) #s(hole binary64 z)) |
#s(approx (- z -1) z) |
#s(approx (- z -1) #s(hole binary64 (* z (+ 1 (/ 1 z))))) |
#s(approx (- z -1) (-.f64 z #s(literal -1 binary64))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* z (+ x y)))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (*.f64 (+.f64 x y) z)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* z (+ x (+ y (+ (/ x z) (/ y z))))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))) |
#s(approx (+ (* z x) x) #s(hole binary64 (* x z))) |
#s(approx (* (- z -1) x) (*.f64 x z)) |
#s(approx (+ (* z x) x) #s(hole binary64 (* z (+ x (/ x z))))) |
#s(approx (* (- z -1) x) (fma.f64 x z x)) |
#s(approx (+ (* z y) y) #s(hole binary64 (* y z))) |
#s(approx (+ (* z y) y) (*.f64 y z)) |
#s(approx (+ (* z y) y) #s(hole binary64 (* z (+ y (/ y z))))) |
#s(approx (+ (* z y) y) (fma.f64 y z y)) |
#s(approx (+ z 1) #s(hole binary64 z)) |
#s(approx (- z -1) z) |
#s(approx (+ z 1) #s(hole binary64 (* z (+ 1 (/ 1 z))))) |
#s(approx (- z -1) (-.f64 z #s(literal -1 binary64))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* -1 (* z (+ (* -1 x) (* -1 y)))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (*.f64 (+.f64 x y) z)) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) #s(hole binary64 (* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (+ x y) z)))))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))) |
#s(approx (* (- z -1) x) #s(hole binary64 (* -1 (* z (+ (* -1 x) (* -1 (/ x z))))))) |
#s(approx (* (- z -1) x) (fma.f64 x z x)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z))))))) |
#s(approx (+ (* (- z -1) y) (* (- z -1) x)) (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))) |
#s(approx (+ (* z x) x) #s(hole binary64 (* -1 (* z (+ (* -1 x) (* -1 (/ x z))))))) |
#s(approx (* (- z -1) x) (fma.f64 x z x)) |
#s(approx (+ (* z y) y) #s(hole binary64 (* -1 (* z (+ (* -1 y) (* -1 (/ y z))))))) |
#s(approx (+ (* z y) y) (fma.f64 y z y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 81 |
| 0 | 31 | 79 |
| 1 | 132 | 77 |
| 0 | 1113 | 77 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 z #s(literal -1 binary64)) y (*.f64 (-.f64 z #s(literal -1 binary64)) x)) |
(*.f64 (-.f64 z #s(literal -1 binary64)) x) |
(-.f64 z #s(literal -1 binary64)) |
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) |
(+.f64 y x) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) |
(fma.f64 z x x) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) |
(fma.f64 z y y) |
(*.f64 (+.f64 x y) #s(approx (+ z 1) z)) |
(+.f64 x y) |
#s(approx (+ z 1) z) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (-.f64 z #s(literal -1 binary64))) |
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y)) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 z #s(literal -1 binary64))) (-.f64 y x)) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 z #s(literal -1 binary64))) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 z #s(literal -1 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 z #s(literal -1 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 x y)) (-.f64 z #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 x y)) (fma.f64 z z (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 x y)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 (+.f64 x y) (fma.f64 z z #s(literal -1 binary64))) (-.f64 z #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 (-.f64 z #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (*.f64 (-.f64 z #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 x y) z)) (*.f64 (+.f64 x y) (+.f64 x y))) (-.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x z x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y z y) #s(literal 2 binary64))) (-.f64 (fma.f64 x z x) (fma.f64 y z y))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 y z y) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 x z x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y z y) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x z x) #s(literal 2 binary64)) (*.f64 (fma.f64 y z y) (neg.f64 (fma.f64 x z x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 x y) z) (-.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (*.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y z y) #s(literal 2 binary64)) (pow.f64 (fma.f64 x z x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (-.f64 z #s(literal -1 binary64)) (-.f64 y x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x z x) #s(literal 3 binary64)) (pow.f64 (fma.f64 y z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 x z x) (-.f64 (fma.f64 x z x) (fma.f64 y z y)) (pow.f64 (fma.f64 y z y) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (-.f64 y x) (-.f64 z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 y x) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (-.f64 x y) (-.f64 z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x y) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z #s(literal -1 binary64))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))) |
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 y x))) |
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 x y))) |
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (fma.f64 z z (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))) (-.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) (*.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (-.f64 y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (fma.f64 z z (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (-.f64 x y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 z z (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 z z (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 y z y) #s(literal 2 binary64)) (pow.f64 (fma.f64 x z x) #s(literal 2 binary64))) (*.f64 (-.f64 z #s(literal -1 binary64)) (-.f64 y x))) |
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(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (-.f64 y x)) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) y)) |
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(+.f64 x y) |
(+.f64 y x) |
#s(approx (+ z 1) z) |
Compiled 4 047 to 578 computations (85.7% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 215 | 4 | 219 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 216 | 8 | 224 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.5% | (fma.f64 #s(approx (+ z 1) z) y (*.f64 #s(approx (+ z 1) z) x)) |
| ✓ | 50.7% | (*.f64 (+.f64 x y) #s(approx (+ z 1) z)) |
| ✓ | 49.9% | #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) |
| ✓ | 52.3% | #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) |
| ✓ | 51.1% | #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) |
| ▶ | 26.9% | #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))) |
| ▶ | 25.2% | #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) y)) |
| ▶ | 27.3% | #s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) |
Compiled 103 to 76 computations (26.2% saved)
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(approx (+ z 1) z) x) | |
| cost-diff | 0 | #s(approx (+ z 1) z) | |
| cost-diff | 1 | (fma.f64 #s(approx (+ z 1) z) y (*.f64 #s(approx (+ z 1) z) x)) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | #s(approx (+ (* z y) y) (*.f64 y z)) | |
| cost-diff | 0 | #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))) | |
| cost-diff | 0 | #s(approx (+ (* z y) y) y) | |
| cost-diff | 0 | #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) y)) | |
| cost-diff | 0 | #s(approx (+ y x) x) | |
| cost-diff | 0 | #s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 102 |
| 0 | 24 | 97 |
| 1 | 46 | 97 |
| 2 | 105 | 97 |
| 3 | 433 | 97 |
| 4 | 1547 | 97 |
| 5 | 5321 | 97 |
| 0 | 8006 | 93 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) |
#s(approx (+ y x) x) |
x |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) y)) |
#s(approx (+ (* z y) y) y) |
y |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))) |
#s(approx (+ (* z y) y) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
(fma.f64 #s(approx (+ z 1) z) y (*.f64 #s(approx (+ z 1) z) x)) |
#s(approx (+ z 1) z) |
z |
y |
(*.f64 #s(approx (+ z 1) z) x) |
x |
| Outputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) |
#s(approx (+ y x) x) |
x |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) y)) |
#s(approx (+ (* z y) y) y) |
y |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) |
#s(approx (+ (* z y) y) (*.f64 y z)) |
#s(approx (+ (* z y) y) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(fma.f64 #s(approx (+ z 1) z) y (*.f64 #s(approx (+ z 1) z) x)) |
(*.f64 #s(approx (+ z 1) z) (+.f64 y x)) |
#s(approx (+ z 1) z) |
z |
y |
(*.f64 #s(approx (+ z 1) z) x) |
x |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (*.f64 #s(approx (+ z 1) z) x) | |
| accuracy | 0.7578042428166806 | (fma.f64 #s(approx (+ z 1) z) y (*.f64 #s(approx (+ z 1) z) x)) | |
| accuracy | 31.483508580667703 | #s(approx (+ z 1) z) | |
| accuracy | 0.0 | (*.f64 y z) | |
| accuracy | 31.24835164031379 | #s(approx (+ (* z y) y) (*.f64 y z)) | |
| accuracy | 32.07938046860623 | #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))) | |
| accuracy | 31.281395943668517 | #s(approx (+ (* z y) y) y) | |
| accuracy | 32.07938046860623 | #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) y)) | |
| accuracy | 30.900913649286238 | #s(approx (+ y x) x) | |
| accuracy | 31.295049295063873 | #s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) |
| 27.0ms | 256× | 0 | valid |
Compiled 65 to 16 computations (75.4% saved)
ival-mult: 11.0ms (63.7% of total)ival-add: 6.0ms (34.7% 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)| Inputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) |
#s(approx (+ y x) x) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) y)) |
#s(approx (+ (* z y) y) y) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))) |
#s(approx (+ (* z y) y) (*.f64 y z)) |
(*.f64 y z) |
(fma.f64 #s(approx (+ z 1) z) y (*.f64 #s(approx (+ z 1) z) x)) |
#s(approx (+ z 1) z) |
(*.f64 #s(approx (+ z 1) z) x) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ (* x (+ 1 z)) (* y (+ 1 z))))) |
#s(approx (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (+ (* x (+ 1 z)) (* y (+ 1 z))))) |
#s(approx (* (+ z 1) x) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))))) |
#s(approx (+ y x) #s(hole binary64 x)) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (* y z) #s(hole binary64 (* y z))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* y (+ 1 (+ z (/ (* x (+ 1 z)) y)))))) |
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* y (+ 1 (+ z (/ (* x (+ 1 z)) y)))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y))))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* -1 (* y (- (* -1 z) 1))))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y))))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ x y))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ x (+ y (* z (+ x y)))))) |
#s(approx (+ (* z y) y) #s(hole binary64 y)) |
#s(approx (+ (* z y) y) #s(hole binary64 (+ y (* y z)))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (+ x y))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (+ x (+ y (* z (+ x y)))))) |
#s(approx (+ z 1) #s(hole binary64 1)) |
#s(approx (+ z 1) #s(hole binary64 (+ 1 z))) |
#s(approx (* (+ z 1) x) #s(hole binary64 x)) |
#s(approx (* (+ z 1) x) #s(hole binary64 (+ x (* x z)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* z (+ x y)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* z (+ x (+ y (+ (/ x z) (/ y z))))))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* y z))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* z (+ y (/ y z))))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* z (+ x y)))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* z (+ x (+ y (+ (/ x z) (/ y z))))))) |
#s(approx (+ z 1) #s(hole binary64 z)) |
#s(approx (+ z 1) #s(hole binary64 (* z (+ 1 (/ 1 z))))) |
#s(approx (* (+ z 1) x) #s(hole binary64 (* x z))) |
#s(approx (* (+ z 1) x) #s(hole binary64 (* z (+ x (/ x z))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z))))))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* -1 (* z (+ (* -1 y) (* -1 (/ y z))))))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* -1 (* z (+ (* -1 x) (* -1 y)))))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (+ x y) z)))))))) |
#s(approx (* (+ z 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 x) (* -1 (/ x z))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((* (+ x y) (+ z 1)) (+ y x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (+ (* z y) y) (* y z) (+ (* (+ z 1) y) (* (+ z 1) x)) (+ z 1) (* (+ z 1) x)) |
| 1.0ms | z | @ | -inf | ((* (+ x y) (+ z 1)) (+ y x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (+ (* z y) y) (* y z) (+ (* (+ z 1) y) (* (+ z 1) x)) (+ z 1) (* (+ z 1) x)) |
| 1.0ms | z | @ | inf | ((* (+ x y) (+ z 1)) (+ y x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (+ (* z y) y) (* y z) (+ (* (+ z 1) y) (* (+ z 1) x)) (+ z 1) (* (+ z 1) x)) |
| 1.0ms | x | @ | -inf | ((* (+ x y) (+ z 1)) (+ y x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (+ (* z y) y) (* y z) (+ (* (+ z 1) y) (* (+ z 1) x)) (+ z 1) (* (+ z 1) x)) |
| 1.0ms | y | @ | inf | ((* (+ x y) (+ z 1)) (+ y x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (+ (* z y) y) (* y z) (+ (* (+ z 1) y) (* (+ z 1) x)) (+ z 1) (* (+ z 1) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 624 |
| 1 | 438 | 624 |
| 2 | 1401 | 616 |
| 3 | 4577 | 608 |
| 0 | 8243 | 578 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ (* x (+ 1 z)) (* y (+ 1 z))))) |
#s(approx (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (+ (* x (+ 1 z)) (* y (+ 1 z))))) |
#s(approx (* (+ z 1) x) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))))) |
#s(approx (+ y x) #s(hole binary64 x)) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (* y z) #s(hole binary64 (* y z))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* y (+ 1 (+ z (/ (* x (+ 1 z)) y)))))) |
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* y (+ 1 (+ z (/ (* x (+ 1 z)) y)))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y))))))) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* -1 (* y (- (* -1 z) 1))))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y))))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ x y))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ x (+ y (* z (+ x y)))))) |
#s(approx (+ (* z y) y) #s(hole binary64 y)) |
#s(approx (+ (* z y) y) #s(hole binary64 (+ y (* y z)))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (+ x y))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (+ x (+ y (* z (+ x y)))))) |
#s(approx (+ z 1) #s(hole binary64 1)) |
#s(approx (+ z 1) #s(hole binary64 (+ 1 z))) |
#s(approx (* (+ z 1) x) #s(hole binary64 x)) |
#s(approx (* (+ z 1) x) #s(hole binary64 (+ x (* x z)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* z (+ x y)))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* z (+ x (+ y (+ (/ x z) (/ y z))))))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* y z))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* z (+ y (/ y z))))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* z (+ x y)))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* z (+ x (+ y (+ (/ x z) (/ y z))))))) |
#s(approx (+ z 1) #s(hole binary64 z)) |
#s(approx (+ z 1) #s(hole binary64 (* z (+ 1 (/ 1 z))))) |
#s(approx (* (+ z 1) x) #s(hole binary64 (* x z))) |
#s(approx (* (+ z 1) x) #s(hole binary64 (* z (+ x (/ x z))))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z))))))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* -1 (* z (+ (* -1 y) (* -1 (/ y z))))))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* -1 (* z (+ (* -1 x) (* -1 y)))))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (+ x y) z)))))))) |
#s(approx (* (+ z 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 x) (* -1 (/ x z))))))) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ (* x (+ 1 z)) (* y (+ 1 z))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))) |
#s(approx (+ y x) #s(hole binary64 y)) |
#s(approx (+ y x) y) |
#s(approx (+ y x) #s(hole binary64 (+ x y))) |
#s(approx (+ y x) (+.f64 y x)) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (+ (* x (+ 1 z)) (* y (+ 1 z))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))) |
#s(approx (* (+ z 1) x) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (* (+ z 1) x) (fma.f64 z x x)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))))) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 (+.f64 (/.f64 (fma.f64 z y y) x) z) x x)) |
#s(approx (+ y x) #s(hole binary64 x)) |
#s(approx (+ y x) x) |
#s(approx (+ y x) #s(hole binary64 (* x (+ 1 (/ y x))))) |
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* x (+ 1 z)))) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))))) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 (+.f64 (/.f64 (fma.f64 z y y) x) z) x x)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))))) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 (+.f64 (/.f64 (fma.f64 z y y) x) z) x x)) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1))))) |
#s(approx (+ y x) (fma.f64 (/.f64 y x) x x)) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))))) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 (+.f64 (/.f64 (fma.f64 z y y) x) z) x x)) |
#s(approx (+ (* z y) y) #s(hole binary64 (* y (+ 1 z)))) |
#s(approx (+ (* z y) y) (fma.f64 z y y)) |
#s(approx (* y z) #s(hole binary64 (* y z))) |
#s(approx (* y z) (*.f64 z y)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* y (+ 1 (+ z (/ (* x (+ 1 z)) y)))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) (-.f64 #s(literal -1 binary64) (/.f64 x y))) y)) |
#s(approx (+ y x) #s(hole binary64 (* y (+ 1 (/ x y))))) |
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* y (+ 1 (+ z (/ (* x (+ 1 z)) y)))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) (-.f64 #s(literal -1 binary64) (/.f64 x y))) y)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y))))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) (-.f64 #s(literal -1 binary64) (/.f64 x y))) y)) |
#s(approx (+ y x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1))))) |
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) |
#s(approx (+ (* z y) y) #s(hole binary64 (* -1 (* y (- (* -1 z) 1))))) |
#s(approx (+ (* z y) y) (fma.f64 z y y)) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y))))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) (-.f64 #s(literal -1 binary64) (/.f64 x y))) y)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ x y))) |
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (+ x (+ y (* z (+ x y)))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))) |
#s(approx (+ (* z y) y) #s(hole binary64 y)) |
#s(approx (+ (* z y) y) y) |
#s(approx (+ (* z y) y) #s(hole binary64 (+ y (* y z)))) |
#s(approx (+ (* z y) y) (fma.f64 z y y)) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (+ x y))) |
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (+ x (+ y (* z (+ x y)))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))) |
#s(approx (+ z 1) #s(hole binary64 1)) |
#s(approx (+ z 1) #s(literal 1 binary64)) |
#s(approx (+ z 1) #s(hole binary64 (+ 1 z))) |
#s(approx (+ z 1) (-.f64 z #s(literal -1 binary64))) |
#s(approx (* (+ z 1) x) #s(hole binary64 x)) |
#s(approx (* (+ z 1) x) x) |
#s(approx (* (+ z 1) x) #s(hole binary64 (+ x (* x z)))) |
#s(approx (* (+ z 1) x) (fma.f64 z x x)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* z (+ x y)))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* z (+ x (+ y (+ (/ x z) (/ y z))))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* y z))) |
#s(approx (+ (* z y) y) (*.f64 z y)) |
#s(approx (+ (* z y) y) #s(hole binary64 (* z (+ y (/ y z))))) |
#s(approx (+ (* z y) y) (fma.f64 z y y)) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* z (+ x y)))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* z (+ x (+ y (+ (/ x z) (/ y z))))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))) |
#s(approx (+ z 1) #s(hole binary64 z)) |
#s(approx (+ z 1) z) |
#s(approx (+ z 1) #s(hole binary64 (* z (+ 1 (/ 1 z))))) |
#s(approx (+ z 1) (-.f64 z #s(literal -1 binary64))) |
#s(approx (* (+ z 1) x) #s(hole binary64 (* x z))) |
#s(approx (* (+ z 1) x) (*.f64 z x)) |
#s(approx (* (+ z 1) x) #s(hole binary64 (* z (+ x (/ x z))))) |
#s(approx (* (+ z 1) x) (fma.f64 z x x)) |
#s(approx (* (+ x y) (+ z 1)) #s(hole binary64 (* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z))))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))) |
#s(approx (+ (* z y) y) #s(hole binary64 (* -1 (* z (+ (* -1 y) (* -1 (/ y z))))))) |
#s(approx (+ (* z y) y) (fma.f64 z y y)) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* -1 (* z (+ (* -1 x) (* -1 y)))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x))) |
#s(approx (+ (* (+ z 1) y) (* (+ z 1) x)) #s(hole binary64 (* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (+ x y) z)))))))) |
#s(approx (* (+ x y) (+ z 1)) (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))) |
#s(approx (* (+ z 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 x) (* -1 (/ x z))))))) |
#s(approx (* (+ z 1) x) (fma.f64 z x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 95 |
| 0 | 24 | 90 |
| 1 | 102 | 90 |
| 0 | 846 | 86 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) |
#s(approx (+ y x) x) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) y)) |
#s(approx (+ (* z y) y) y) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))) |
#s(approx (+ (* z y) y) (*.f64 y z)) |
(*.f64 y z) |
(fma.f64 #s(approx (+ z 1) z) y (*.f64 #s(approx (+ z 1) z) x)) |
#s(approx (+ z 1) z) |
(*.f64 #s(approx (+ z 1) z) x) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) |
#s(approx (+ y x) x) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) y)) |
#s(approx (+ (* z y) y) y) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))) |
#s(approx (+ (* z y) y) (*.f64 z y)) |
(*.f64 z y) |
(*.f64 y z) |
(*.f64 #s(approx (+ z 1) z) (+.f64 y x)) |
(*.f64 (+.f64 y x) #s(approx (+ z 1) z)) |
(/.f64 (*.f64 #s(approx (+ z 1) z) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (*.f64 #s(approx (+ z 1) z) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 #s(approx (+ z 1) z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 #s(approx (+ z 1) z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ z 1) z) x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (+ z 1) z) y) #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (+ z 1) z) x) (*.f64 #s(approx (+ z 1) z) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ z 1) z) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 #s(approx (+ z 1) z) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (+ z 1) z) y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (+ z 1) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (+ z 1) z) y) (neg.f64 (*.f64 #s(approx (+ z 1) z) x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ z 1) z) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (+ z 1) z) x) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(approx (+ z 1) z) (-.f64 y x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ z 1) z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ z 1) z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(approx (+ z 1) z) x) (-.f64 (*.f64 #s(approx (+ z 1) z) x) (*.f64 #s(approx (+ z 1) z) y)) (pow.f64 (*.f64 #s(approx (+ z 1) z) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ z 1) z) y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (+ z 1) z) x) #s(literal 2 binary64))) (*.f64 #s(approx (+ z 1) z) (-.f64 y x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ z 1) z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ z 1) z) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (+ z 1) z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (+ z 1) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (+ z 1) z) y) x) #s(approx (+ z 1) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ z 1) z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ z 1) z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (+ z 1) z) x) (-.f64 (*.f64 #s(approx (+ z 1) z) x) (*.f64 #s(approx (+ z 1) z) y)) (pow.f64 (*.f64 #s(approx (+ z 1) z) y) #s(literal 2 binary64)))) |
(fma.f64 #s(approx (+ z 1) z) y (*.f64 (neg.f64 (neg.f64 #s(approx (+ z 1) z))) x)) |
(fma.f64 #s(approx (+ z 1) z) y (*.f64 #s(approx (+ z 1) z) x)) |
(fma.f64 #s(approx (+ z 1) z) x (*.f64 #s(approx (+ z 1) z) y)) |
(fma.f64 y #s(approx (+ z 1) z) (*.f64 (neg.f64 (neg.f64 #s(approx (+ z 1) z))) x)) |
(fma.f64 y #s(approx (+ z 1) z) (*.f64 #s(approx (+ z 1) z) x)) |
(fma.f64 x #s(approx (+ z 1) z) (*.f64 #s(approx (+ z 1) z) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ z 1) z) y) #s(literal 2 binary64)) (*.f64 #s(approx (+ z 1) z) (-.f64 y x))) (/.f64 (pow.f64 (*.f64 #s(approx (+ z 1) z) x) #s(literal 2 binary64)) (*.f64 #s(approx (+ z 1) z) (-.f64 y x)))) |
(-.f64 (*.f64 #s(approx (+ z 1) z) y) (*.f64 (neg.f64 x) #s(approx (+ z 1) z))) |
(-.f64 (*.f64 #s(approx (+ z 1) z) y) (neg.f64 (*.f64 #s(approx (+ z 1) z) x))) |
(-.f64 (*.f64 #s(approx (+ z 1) z) x) (*.f64 (neg.f64 #s(approx (+ z 1) z)) y)) |
(-.f64 (*.f64 #s(approx (+ z 1) z) x) (*.f64 (neg.f64 y) #s(approx (+ z 1) z))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ z 1) z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ z 1) z) x) (-.f64 (*.f64 #s(approx (+ z 1) z) x) (*.f64 #s(approx (+ z 1) z) y)) (pow.f64 (*.f64 #s(approx (+ z 1) z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (+ z 1) z) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (+ z 1) z) x) (-.f64 (*.f64 #s(approx (+ z 1) z) x) (*.f64 #s(approx (+ z 1) z) y)) (pow.f64 (*.f64 #s(approx (+ z 1) z) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(approx (+ z 1) z) y) (*.f64 (neg.f64 (neg.f64 #s(approx (+ z 1) z))) x)) |
(+.f64 (*.f64 #s(approx (+ z 1) z) y) (*.f64 #s(approx (+ z 1) z) x)) |
(+.f64 (*.f64 #s(approx (+ z 1) z) x) (*.f64 #s(approx (+ z 1) z) y)) |
#s(approx (+ z 1) z) |
(*.f64 #s(approx (+ z 1) z) x) |
(*.f64 x #s(approx (+ z 1) z)) |
Compiled 1 223 to 161 computations (86.8% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 60 | 0 | 60 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 4 | 4 |
| Total | 60 | 8 | 68 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.5% | (fma.f64 #s(approx (+ z 1) z) y (*.f64 #s(approx (+ z 1) z) x)) |
| ✓ | 50.7% | (*.f64 (+.f64 x y) #s(approx (+ z 1) z)) |
| ✓ | 49.9% | #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) |
| ✓ | 52.3% | #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) |
| ✓ | 51.1% | #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) |
| ✓ | 26.9% | #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))) |
| ✓ | 25.2% | #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) y)) |
| ✓ | 27.3% | #s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) |
Compiled 223 to 111 computations (50.2% saved)
| Inputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) y)) |
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) |
(*.f64 (+.f64 x y) #s(approx (+ z 1) z)) |
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ z 1) z) y (*.f64 #s(approx (+ z 1) z) x)) |
(fma.f64 (-.f64 z #s(literal -1 binary64)) y (*.f64 (-.f64 z #s(literal -1 binary64)) x)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
6 calls:
| 15.0ms | x |
| 3.0ms | y |
| 3.0ms | z |
| 3.0ms | (+.f64 x y) |
| 3.0ms | (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 z #s(literal 1 binary64)) |
| 100.0% | 1 | (+.f64 x y) |
| 100.0% | 1 | (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
Compiled 16 to 25 computations (-56.3% saved)
| Inputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) y)) |
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) |
(*.f64 (+.f64 x y) #s(approx (+ z 1) z)) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) |
6 calls:
| 24.0ms | (+.f64 z #s(literal 1 binary64)) |
| 10.0ms | z |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 3 | (+.f64 z #s(literal 1 binary64)) |
| 97.6% | 2 | (+.f64 x y) |
| 86.1% | 4 | (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
| 84.6% | 2 | x |
| 79.8% | 2 | y |
| 98.1% | 3 | z |
Compiled 16 to 25 computations (-56.3% saved)
| Inputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) y)) |
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))) |
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) |
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))) |
6 calls:
| 48.0ms | (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (+.f64 x y) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.5% | 3 | y |
| 71.3% | 3 | (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
| 70.0% | 2 | x |
| 80.6% | 5 | (+.f64 z #s(literal 1 binary64)) |
| 80.6% | 5 | z |
| 78.0% | 3 | (+.f64 x y) |
Compiled 16 to 25 computations (-56.3% saved)
| Inputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) y)) |
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))) |
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))) |
3 calls:
| 5.0ms | z |
| 2.0ms | (+.f64 x y) |
| 2.0ms | (+.f64 z #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.5% | 3 | (+.f64 z #s(literal 1 binary64)) |
| 74.5% | 3 | z |
| 54.3% | 2 | (+.f64 x y) |
Compiled 7 to 12 computations (-71.4% saved)
| Inputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) y)) |
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) |
6 calls:
| 23.0ms | (+.f64 z #s(literal 1 binary64)) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.1% | 1 | (+.f64 x y) |
| 51.1% | 1 | y |
| 51.1% | 1 | (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
| 51.1% | 1 | x |
| 51.1% | 1 | (+.f64 z #s(literal 1 binary64)) |
| 51.1% | 1 | z |
Compiled 16 to 25 computations (-56.3% saved)
| Inputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) y)) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) y)) |
6 calls:
| 26.0ms | (+.f64 z #s(literal 1 binary64)) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (+.f64 x y) |
| 1.0ms | (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.7% | 2 | (+.f64 x y) |
| 41.1% | 2 | y |
| 27.3% | 1 | (+.f64 z #s(literal 1 binary64)) |
| 44.8% | 2 | x |
| 27.3% | 1 | z |
| 50.1% | 2 | (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
Compiled 16 to 25 computations (-56.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) |
| Outputs |
|---|
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) |
6 calls:
| 1.0ms | (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
| 1.0ms | (+.f64 x y) |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.3% | 1 | (+.f64 z #s(literal 1 binary64)) |
| 27.3% | 1 | z |
| 27.3% | 1 | y |
| 27.3% | 1 | x |
| 27.3% | 1 | (+.f64 x y) |
| 27.3% | 1 | (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
Compiled 16 to 25 computations (-56.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.445882681384993e-293 | 3.1429619034754768e-270 |
Compiled 10 to 13 computations (-30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1262589288495494e+278 | 4.581398840427525e+278 |
| 0.0ms | -3.233570751225522e-184 | -4.170237242537816e-194 |
Compiled 10 to 13 computations (-30% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.00011488839513728706 | 2227683926.6015077 |
| 32.0ms | -7877026.522020529 | -0.1497910234094146 |
| 12.0ms | 304× | 0 | valid |
Compiled 542 to 450 computations (17% saved)
ival-add: 3.0ms (56.5% of total)ival-mult: 2.0ms (37.7% 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)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.445882681384993e-293 | 3.1429619034754768e-270 |
Compiled 10 to 13 computations (-30% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 188 |
| 1 | 60 | 188 |
| 2 | 105 | 188 |
| 3 | 394 | 188 |
| 4 | 1822 | 188 |
| 5 | 7617 | 188 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
(if (<=.f64 (+.f64 x y) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))) |
(if (<=.f64 (+.f64 x y) #s(literal -3827252586451049/19136262932255243894327540630475154705164967900866663911068029494595001430924024396931296128159696131577158553613765316960850876967683885097823130383956161858642094270647956721192399556036699204091904 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 (+.f64 x y) #s(literal 199999999999999992701373735918357116631804549565985153064628970972443492602480411625348685741640985599675569876002408075550379507087920437583886295587576290642133049161236473317937266725516180055400670622987509956668735259751478274996752027315378862823736417652149903488970653696 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))))) |
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))) (if (<=.f64 z #s(literal 330 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))))) |
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) |
(if (<=.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) y))) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) |
(if (<=.f64 (+.f64 x y) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))) |
(if (<=.f64 (+.f64 x y) #s(literal -3827252586451049/19136262932255243894327540630475154705164967900866663911068029494595001430924024396931296128159696131577158553613765316960850876967683885097823130383956161858642094270647956721192399556036699204091904 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 (+.f64 x y) #s(literal 199999999999999992701373735918357116631804549565985153064628970972443492602480411625348685741640985599675569876002408075550379507087920437583886295587576290642133049161236473317937266725516180055400670622987509956668735259751478274996752027315378862823736417652149903488970653696 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))))) |
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))) (if (<=.f64 z #s(literal 330 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))))) |
(if (or (<=.f64 z #s(literal -1 binary64)) (not (<=.f64 z #s(literal 330 binary64)))) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x))) |
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) |
(if (<=.f64 (*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64))) #s(literal -449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) y))) |
#s(approx (* (+ x y) (+ z 1)) #s(approx (+ y x) x)) |
| 1× | done |
Compiled 188 to 45 computations (76.1% saved)
(sort x y)
Compiled 418 to 132 computations (68.4% saved)
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