
Time bar (total: 1.5s)
| 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 7 to 6 computations (14.3% saved)
| 436.0ms | 8 256× | 0 | valid |
ival-sub: 116.0ms (59.8% of total)ival-mult: 67.0ms (34.5% of total)ival-true: 5.0ms (2.6% of total)ival-assert: 3.0ms (1.5% of total)adjust: 2.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 x (*.f64 y y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 41.0ms | 512× | 0 | valid |
Compiled 29 to 16 computations (44.8% saved)
ival-mult: 4.0ms (56.2% of total)ival-sub: 2.0ms (28.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 34 |
| 1 | 33 | 34 |
| 2 | 87 | 32 |
| 3 | 146 | 32 |
| 4 | 192 | 32 |
| 0 | 4 | 5 |
| 0 | 6 | 5 |
| 1 | 12 | 5 |
| 2 | 33 | 5 |
| 3 | 59 | 5 |
| 4 | 74 | 5 |
| 0 | 74 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (*.f64 y y)) |
| Outputs |
|---|
(-.f64 x (*.f64 y y)) |
(abs y)
Compiled 5 to 4 computations (20% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 x (*.f64 y y)) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
(-.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
| Outputs |
|---|
#s(approx (- x (* y y)) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (- x (* y y)) #s(hole binary64 (- x (pow y 2)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- x (* y y)) #s(hole binary64 x)) |
#s(approx (- x (* y y)) #s(hole binary64 (* x (+ 1 (* -1 (/ (pow y 2) x)))))) |
#s(approx (- x (* y y)) #s(hole binary64 (* -1 (* x (- (/ (pow y 2) x) 1))))) |
#s(approx (- x (* y y)) #s(hole binary64 (+ x (* -1 (pow y 2))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- x (* y y)) #s(hole binary64 (* (pow y 2) (- (/ x (pow y 2)) 1)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((- x (* y y)) x (* y y) y) |
| 1.0ms | y | @ | inf | ((- x (* y y)) x (* y y) y) |
| 1.0ms | y | @ | -inf | ((- x (* y y)) x (* y y) y) |
| 0.0ms | x | @ | inf | ((- x (* y y)) x (* y y) y) |
| 0.0ms | y | @ | 0 | ((- x (* y y)) x (* y y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 91 |
| 1 | 67 | 91 |
| 2 | 195 | 91 |
| 3 | 775 | 91 |
| 4 | 2884 | 91 |
| 5 | 6554 | 91 |
| 0 | 8166 | 91 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- x (* y y)) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (- x (* y y)) #s(hole binary64 (- x (pow y 2)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- x (* y y)) #s(hole binary64 x)) |
#s(approx (- x (* y y)) #s(hole binary64 (* x (+ 1 (* -1 (/ (pow y 2) x)))))) |
#s(approx (- x (* y y)) #s(hole binary64 (* -1 (* x (- (/ (pow y 2) x) 1))))) |
#s(approx (- x (* y y)) #s(hole binary64 (+ x (* -1 (pow y 2))))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- x (* y y)) #s(hole binary64 (* (pow y 2) (- (/ x (pow y 2)) 1)))) |
| Outputs |
|---|
#s(approx (- x (* y y)) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y)) |
#s(approx (- x (* y y)) #s(hole binary64 (- x (pow y 2)))) |
#s(approx (- x (* y y)) (-.f64 x (*.f64 y y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx x x) |
#s(approx (- x (* y y)) #s(hole binary64 x)) |
#s(approx (- x (* y y)) x) |
#s(approx (- x (* y y)) #s(hole binary64 (* x (+ 1 (* -1 (/ (pow y 2) x)))))) |
#s(approx (- x (* y y)) (-.f64 x (*.f64 y y))) |
#s(approx (- x (* y y)) #s(hole binary64 (* -1 (* x (- (/ (pow y 2) x) 1))))) |
#s(approx (- x (* y y)) (-.f64 x (*.f64 y y))) |
#s(approx (- x (* y y)) #s(hole binary64 (+ x (* -1 (pow y 2))))) |
#s(approx (- x (* y y)) (-.f64 x (*.f64 y y))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx y #s(hole binary64 y)) |
#s(approx y y) |
#s(approx (- x (* y y)) #s(hole binary64 (* (pow y 2) (- (/ x (pow y 2)) 1)))) |
#s(approx (- x (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 0 | 6 | 10 |
| 1 | 27 | 10 |
| 0 | 210 | 10 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
| Outputs |
|---|
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (*.f64 (neg.f64 y) y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 (*.f64 y y) x (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x x (fma.f64 (*.f64 y y) x (pow.f64 y #s(literal 4 binary64))))) |
(fma.f64 (neg.f64 y) y x) |
(fma.f64 y (neg.f64 y) x) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y y x)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (*.f64 y y) x (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x x (fma.f64 (*.f64 y y) x (pow.f64 y #s(literal 4 binary64)))))) |
(-.f64 x (*.f64 (neg.f64 (neg.f64 y)) y)) |
(-.f64 x (*.f64 y y)) |
(+.f64 (*.f64 (neg.f64 y) y) x) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(+.f64 x (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y))) |
(+.f64 x (*.f64 (neg.f64 y) y)) |
x |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) |
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y))) |
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 y y) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
y |
Compiled 370 to 100 computations (73% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 37 | 2 | 39 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 37 | 3 | 40 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 x (*.f64 y y)) |
| ▶ | 54.4% | #s(approx (- x (* y y)) (*.f64 (neg.f64 y) y)) |
| ▶ | 48.1% | #s(approx (- x (* y y)) x) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (- x (* y y)) x) |
x |
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
| Outputs |
|---|
#s(approx (- x (* y y)) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (- x (* y y)) #s(hole binary64 (- x (pow y 2)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- x (* y y)) #s(hole binary64 x)) |
#s(approx (- x (* y y)) #s(hole binary64 (* x (+ 1 (* -1 (/ (pow y 2) x)))))) |
#s(approx (- x (* y y)) #s(hole binary64 (* -1 (* x (- (/ (pow y 2) x) 1))))) |
#s(approx (- x (* y y)) #s(hole binary64 (+ x (* -1 (pow y 2))))) |
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- x (* y y)) #s(hole binary64 (* (pow y 2) (- (/ x (pow y 2)) 1)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | ((- x (* y y)) x (- x (* y y)) (* (neg y) y) (neg y) y) |
| 1.0ms | y | @ | -inf | ((- x (* y y)) x (- x (* y y)) (* (neg y) y) (neg y) y) |
| 1.0ms | y | @ | inf | ((- x (* y y)) x (- x (* y y)) (* (neg y) y) (neg y) y) |
| 0.0ms | x | @ | -inf | ((- x (* y y)) x (- x (* y y)) (* (neg y) y) (neg y) y) |
| 0.0ms | x | @ | inf | ((- x (* y y)) x (- x (* y y)) (* (neg y) y) (neg y) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 98 |
| 1 | 72 | 98 |
| 2 | 200 | 98 |
| 3 | 860 | 98 |
| 4 | 3094 | 98 |
| 5 | 6416 | 98 |
| 0 | 8031 | 98 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- x (* y y)) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (- x (* y y)) #s(hole binary64 (- x (pow y 2)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- x (* y y)) #s(hole binary64 x)) |
#s(approx (- x (* y y)) #s(hole binary64 (* x (+ 1 (* -1 (/ (pow y 2) x)))))) |
#s(approx (- x (* y y)) #s(hole binary64 (* -1 (* x (- (/ (pow y 2) x) 1))))) |
#s(approx (- x (* y y)) #s(hole binary64 (+ x (* -1 (pow y 2))))) |
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- x (* y y)) #s(hole binary64 (* (pow y 2) (- (/ x (pow y 2)) 1)))) |
| Outputs |
|---|
#s(approx (- x (* y y)) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (- x (* y y)) (*.f64 y (neg.f64 y))) |
#s(approx (- x (* y y)) #s(hole binary64 (- x (pow y 2)))) |
#s(approx (- x (* y y)) (-.f64 x (*.f64 y y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx x x) |
#s(approx (- x (* y y)) #s(hole binary64 x)) |
#s(approx (- x (* y y)) x) |
#s(approx (- x (* y y)) #s(hole binary64 (* x (+ 1 (* -1 (/ (pow y 2) x)))))) |
#s(approx (- x (* y y)) (-.f64 x (*.f64 y y))) |
#s(approx (- x (* y y)) #s(hole binary64 (* -1 (* x (- (/ (pow y 2) x) 1))))) |
#s(approx (- x (* y y)) (-.f64 x (*.f64 y y))) |
#s(approx (- x (* y y)) #s(hole binary64 (+ x (* -1 (pow y 2))))) |
#s(approx (- x (* y y)) (-.f64 x (*.f64 y y))) |
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2)))) |
#s(approx (* (neg y) y) (*.f64 y (neg.f64 y))) |
#s(approx (neg y) #s(hole binary64 (* -1 y))) |
#s(approx (neg y) (neg.f64 y)) |
#s(approx y #s(hole binary64 y)) |
#s(approx y y) |
#s(approx (- x (* y y)) #s(hole binary64 (* (pow y 2) (- (/ x (pow y 2)) 1)))) |
#s(approx (- x (* y y)) (*.f64 (*.f64 y (-.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 25 |
| 0 | 10 | 25 |
| 1 | 31 | 25 |
| 0 | 204 | 25 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (* y y)) x) |
x |
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
| Outputs |
|---|
#s(approx (- x (* y y)) x) |
x |
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (neg.f64 (fabs.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 (neg.f64 y))) |
(*.f64 (neg.f64 y) y) |
(*.f64 y (neg.f64 y)) |
(neg.f64 (*.f64 y y)) |
(neg.f64 y) |
y |
Compiled 231 to 47 computations (79.7% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 21 | 0 | 21 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 1 | 1 |
| Total | 21 | 3 | 24 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 x (*.f64 y y)) |
| ✓ | 54.4% | #s(approx (- x (* y y)) (*.f64 (neg.f64 y) y)) |
| ✓ | 48.1% | #s(approx (- x (* y y)) x) |
Compiled 44 to 26 computations (40.9% saved)
| Inputs |
|---|
#s(approx (- x (* y y)) x) |
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y)) |
(-.f64 x (*.f64 y y)) |
| Outputs |
|---|
(-.f64 x (*.f64 y y)) |
4 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 y y) |
| 1.0ms | (-.f64 x (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (*.f64 y y) |
| 100.0% | 1 | (-.f64 x (*.f64 y y)) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (- x (* y y)) x) |
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y)) |
| Outputs |
|---|
#s(approx (- x (* y y)) x) |
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y)) |
4 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (-.f64 x (*.f64 y y)) |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.6% | 2 | (*.f64 y y) |
| 81.6% | 2 | (-.f64 x (*.f64 y y)) |
| 65.7% | 3 | x |
| 86.6% | 2 | y |
Compiled 10 to 11 computations (-10% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- x (* y y)) x) |
| Outputs |
|---|
#s(approx (- x (* y y)) x) |
4 calls:
| 24.0ms | y |
| 1.0ms | (*.f64 y y) |
| 1.0ms | x |
| 1.0ms | (-.f64 x (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.1% | 1 | x |
| 48.1% | 1 | (-.f64 x (*.f64 y y)) |
| 48.1% | 1 | (*.f64 y y) |
| 48.1% | 1 | y |
Compiled 10 to 11 computations (-10% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.3809903703870279e-59 | 1.1568322214810116e-58 |
| 3.0ms | 96× | 0 | valid |
Compiled 110 to 93 computations (15.5% saved)
ival-mult: 1.0ms (80.3% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 33 |
| 1 | 26 | 33 |
| 2 | 52 | 33 |
| 3 | 79 | 33 |
| 4 | 94 | 33 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (*.f64 y y)) |
(if (<=.f64 y #s(literal 3250998599192227/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) #s(approx (- x (* y y)) x) #s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))) |
#s(approx (- x (* y y)) x) |
| Outputs |
|---|
(-.f64 x (*.f64 y y)) |
(if (<=.f64 y #s(literal 3250998599192227/28269553036454149273332760011886696253239742350009903329945699220681916416 binary64)) #s(approx (- x (* y y)) x) #s(approx (- x (* y y)) (*.f64 (neg.f64 y) y))) |
#s(approx (- x (* y y)) x) |
| 1× | done |
Compiled 33 to 13 computations (60.6% saved)
(abs y)
Compiled 96 to 50 computations (47.9% saved)
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