
Time bar (total: 1.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 7 to 6 computations (14.3% saved)
| 402.0ms | 8 256× | 0 | valid |
ival-sub: 74.0ms (51.5% of total)ival-mult: 65.0ms (45.3% of total)ival-assert: 3.0ms (2.1% of total)adjust: 2.0ms (1.4% 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 |
| 18.0ms | 512× | 0 | valid |
Compiled 29 to 16 computations (44.8% saved)
ival-mult: 4.0ms (55.8% of total)ival-sub: 2.0ms (27.9% 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: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 116 |
| 0 | 35 | 111 |
| 1 | 139 | 109 |
| 0 | 1097 | 109 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
#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 |
|---|
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x)) (-.f64 (*.f64 (neg.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 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y x))) |
(/.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))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 x) (*.f64 y y))))) |
(/.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 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (neg.f64 y) x) |
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 y)) (fabs.f64 y) x) |
(fma.f64 (*.f64 #s(literal -1 binary64) y) y x) |
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) x) |
(fma.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y) x) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1 binary64)) x) |
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 y)) x) |
(fma.f64 (neg.f64 y) y x) |
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal -1 binary64)) x) |
(fma.f64 (fabs.f64 y) (neg.f64 (fabs.f64 y)) x) |
(fma.f64 (*.f64 y y) #s(literal -1 binary64) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 y y) x) |
(fma.f64 y (*.f64 y #s(literal -1 binary64)) 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 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))) |
(-.f64 x (*.f64 (neg.f64 (neg.f64 y)) y)) |
(-.f64 x (*.f64 y y)) |
(+.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 (neg.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 (*.f64 (neg.f64 y) y) x) |
(+.f64 x (*.f64 (neg.f64 y) y)) |
x |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) y) |
(*.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 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
y |
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y)) |
#s(approx (- x (* y y)) (fma.f64 (neg.f64 y) y x)) |
#s(approx x x) |
#s(approx (- x (* y y)) x) |
#s(approx (- x (* y y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) x)) |
#s(approx (- x (* y y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) x)) |
#s(approx (- x (* y y)) (fma.f64 (neg.f64 y) y x)) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx y y) |
#s(approx (- x (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y) y)) |
Compiled 620 to 160 computations (74.2% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 64 | 2 | 66 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 64 | 3 | 67 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 x (*.f64 y y)) |
| ▶ | 55.0% | #s(approx (- x (* y y)) (*.f64 (neg.f64 y) y)) |
| ▶ | 47.3% | #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 | |
|---|---|---|---|---|
| 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 | y | @ | 0 | ((- 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: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 140 |
| 0 | 40 | 133 |
| 1 | 144 | 131 |
| 0 | 1101 | 131 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 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 |
#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)) x) |
x |
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (neg.f64 y)) |
(*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)) |
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal -1 binary64))) |
(*.f64 (fabs.f64 y) (neg.f64 (fabs.f64 y))) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) (neg.f64 (neg.f64 y))) |
(*.f64 (neg.f64 y) y) |
(*.f64 (*.f64 y y) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(neg.f64 (*.f64 y y)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(neg.f64 y) |
y |
#s(approx (- x (* y y)) (*.f64 (neg.f64 y) y)) |
#s(approx (- x (* y y)) (fma.f64 (neg.f64 y) y x)) |
#s(approx x x) |
#s(approx (- x (* y y)) x) |
#s(approx (- x (* y y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) x)) |
#s(approx (- x (* y y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) x)) |
#s(approx (- x (* y y)) (fma.f64 (neg.f64 y) y x)) |
#s(approx (* (neg y) y) (*.f64 (neg.f64 y) y)) |
#s(approx (neg y) (neg.f64 y)) |
#s(approx y y) |
#s(approx (- x (* y y)) (*.f64 (*.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y) y)) |
Compiled 332 to 74 computations (77.7% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 29 | 0 | 29 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 1 | 1 |
| Total | 29 | 3 | 32 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 x (*.f64 y y)) |
| ✓ | 55.0% | #s(approx (- x (* y y)) (*.f64 (neg.f64 y) y)) |
| ✓ | 47.3% | #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 |
| 1.0ms | (-.f64 x (*.f64 y y)) |
| 1.0ms | (*.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:
| 16.0ms | (*.f64 y y) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (-.f64 x (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.3% | 2 | (*.f64 y y) |
| 80.3% | 2 | (-.f64 x (*.f64 y y)) |
| 66.5% | 3 | x |
| 87.3% | 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:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (-.f64 x (*.f64 y y)) |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.3% | 1 | x |
| 47.3% | 1 | (-.f64 x (*.f64 y y)) |
| 47.3% | 1 | (*.f64 y y) |
| 47.3% | 1 | y |
Compiled 10 to 11 computations (-10% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 3.536659254790303e+46 | 2.3921069931481218e+52 |
| 14.0ms | 144× | 0 | valid |
Compiled 161 to 135 computations (16.1% saved)
ival-sub: 1.0ms (53.2% of total)ival-mult: 1.0ms (53.2% 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 1380000000000000063752448938789419617226545965301760 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 1380000000000000063752448938789419617226545965301760 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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