
Time bar (total: 1.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 478.0ms | 8 256× | 0 | valid |
ival-mult: 81.0ms (40.7% of total)ival-div: 63.0ms (31.7% of total)ival-sub: 44.0ms (22.1% of total)exact: 5.0ms (2.5% of total)ival-assert: 3.0ms (1.5% of total)adjust: 2.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 34 | 0 | - | 1 | (1.8521878669920376e-30 -4.891720300994323e-160) | (/.f64 x (*.f64 y y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 x (*.f64 y y)) | n/u | 18 | 0 |
| ↳ | (*.f64 y y) | underflow | 77 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 18 | 1 |
| - | 0 | 237 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 18 | 0 | 1 |
| - | 0 | 0 | 237 |
| number | freq |
|---|---|
| 0 | 238 |
| 1 | 18 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 23.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-mult: 4.0ms (36.9% of total)ival-div: 3.0ms (27.7% of total)ival-sub: 2.0ms (18.4% 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 | 18 | 46 |
| 1 | 40 | 46 |
| 2 | 91 | 46 |
| 3 | 147 | 46 |
| 4 | 193 | 46 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 15 | 7 |
| 2 | 32 | 7 |
| 3 | 58 | 7 |
| 4 | 80 | 7 |
| 5 | 93 | 7 |
| 6 | 101 | 7 |
| 0 | 101 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(abs y)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.2% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
#s(literal 3 binary64) |
| Outputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 -3)) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (- (/ x (pow y 2)) 3))) |
#s(approx (/ x (* y y)) #s(hole binary64 (/ x (pow y 2)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (/ x (pow y 2)))) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))))) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))))) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (/ (+ x (* -3 (pow y 2))) (pow y 2)))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx y #s(hole binary64 y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3) |
| 1.0ms | x | @ | inf | ((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3) |
| 1.0ms | x | @ | 0 | ((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3) |
| 1.0ms | y | @ | inf | ((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3) |
| 1.0ms | y | @ | -inf | ((- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y 3) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 142 |
| 0 | 40 | 133 |
| 1 | 152 | 133 |
| 0 | 1031 | 132 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
#s(literal 3 binary64) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 -3)) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (- (/ x (pow y 2)) 3))) |
#s(approx (/ x (* y y)) #s(hole binary64 (/ x (pow y 2)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (/ x (pow y 2)))) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))))) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))))) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (/ (+ x (* -3 (pow y 2))) (pow y 2)))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx y #s(hole binary64 y)) |
| Outputs |
|---|
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) #s(literal 9 binary64))) (neg.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) #s(literal 9 binary64)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 #s(literal 3 binary64) (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 #s(literal 3 binary64) (-.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) |
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 x (fabs.f64 y)) (fabs.f64 y)) |
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y))) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y))) |
x |
(*.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 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)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(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(literal 3 binary64) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (- (/ x (* y y)) 3) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
#s(approx (/ x (* y y)) (/.f64 x (*.f64 y y))) |
#s(approx x x) |
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
#s(approx (- (/ x (* y y)) 3) (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x)) x)) |
#s(approx (- (/ x (* y y)) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -2 binary64))))) |
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) x) y) y)) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx y y) |
Compiled 569 to 147 computations (74.2% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 45 | 3 | 48 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 45 | 4 | 49 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
| ✓ | 93.2% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ▶ | 45.8% | #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
| ▶ | 49.2% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Compiled 36 to 29 computations (19.4% saved)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
#s(literal 3 binary64) |
| Outputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 -3)) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (- (/ x (pow y 2)) 3))) |
#s(approx (/ x (* y y)) #s(hole binary64 (/ x (pow y 2)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 -3)) |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (- (/ x (pow y 2)) 3))) |
#s(approx (/ (/ x y) y) #s(hole binary64 (/ x (pow y 2)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (/ x (pow y 2)))) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))))) |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (/ x (pow y 2)))) |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))))) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))))) |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))))) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (/ (+ x (* -3 (pow y 2))) (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) 3) #s(hole binary64 (/ (+ x (* -3 (pow y 2))) (pow y 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((- (/ x (* y y)) 3) -3 (- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) 3) |
| 1.0ms | x | @ | -inf | ((- (/ x (* y y)) 3) -3 (- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) 3) |
| 1.0ms | y | @ | -inf | ((- (/ x (* y y)) 3) -3 (- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) 3) |
| 1.0ms | y | @ | inf | ((- (/ x (* y y)) 3) -3 (- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) 3) |
| 1.0ms | x | @ | 0 | ((- (/ x (* y y)) 3) -3 (- (/ x (* y y)) 3) (/ x (* y y)) x (* y y) y (- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) 3) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 291 |
| 0 | 56 | 273 |
| 1 | 183 | 273 |
| 0 | 1104 | 271 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
#s(literal 3 binary64) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 -3)) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (- (/ x (pow y 2)) 3))) |
#s(approx (/ x (* y y)) #s(hole binary64 (/ x (pow y 2)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 -3)) |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (- (/ x (pow y 2)) 3))) |
#s(approx (/ (/ x y) y) #s(hole binary64 (/ x (pow y 2)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (/ x (pow y 2)))) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))))) |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (/ x (pow y 2)))) |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))))) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))))) |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))))) |
#s(approx (- (/ x (* y y)) 3) #s(hole binary64 (/ (+ x (* -3 (pow y 2))) (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) 3) #s(hole binary64 (/ (+ x (* -3 (pow y 2))) (pow y 2)))) |
| Outputs |
|---|
#s(approx (- (/ (/ x y) y) 3) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) |
(/.f64 (/.f64 x (fabs.f64 y)) (fabs.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 y y)) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y))) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y))) |
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 y))) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y))) |
x |
(*.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 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)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(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 |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) #s(literal 9 binary64))) (neg.f64 (-.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) (-.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) #s(literal 9 binary64)) (-.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 #s(literal 3 binary64) (-.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (-.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 #s(literal 3 binary64) (-.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64)) |
(/.f64 (/.f64 x (fabs.f64 y)) (fabs.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 y y)) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y))) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y))) |
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 y))) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
#s(literal 3 binary64) |
#s(approx (- (/ (/ x y) y) 3) #s(literal -3 binary64)) |
#s(approx (- (/ (/ x y) y) 3) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) |
#s(approx (/ (/ x y) y) (/.f64 (/.f64 x y) y)) |
#s(approx x x) |
#s(approx (- (/ (/ x y) y) 3) #s(literal -3 binary64)) |
#s(approx (- (/ (/ x y) y) 3) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) |
#s(approx (/ (/ x y) y) (/.f64 (/.f64 x y) y)) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x)) x)) |
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x)) x)) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -2 binary64))))) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -2 binary64))))) |
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) x) y) y)) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx y y) |
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) x) y) y)) |
Compiled 901 to 177 computations (80.4% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 61 | 1 | 62 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 1 | 1 |
| Total | 62 | 4 | 66 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 93.2% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ▶ | 52.5% | #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) |
| ✓ | 45.8% | #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
| ✓ | 49.2% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Compiled 42 to 32 computations (23.8% saved)
| Inputs |
|---|
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
| Outputs |
|---|
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 -3)) |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (- (/ x (pow y 2)) 3))) |
#s(approx (/ (/ x y) y) #s(hole binary64 (/ x (pow y 2)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (/ x (pow y 2)))) |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))))) |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))))) |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (/ (+ x (* -3 (pow y 2))) (pow y 2)))) |
#s(approx y #s(hole binary64 y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) x y) |
| 1.0ms | x | @ | inf | ((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) x y) |
| 1.0ms | y | @ | -inf | ((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) x y) |
| 1.0ms | x | @ | 0 | ((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) x y) |
| 1.0ms | y | @ | inf | ((- (/ (/ x y) y) 3) (/ (/ x y) y) (/ x y) x y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 147 |
| 0 | 40 | 138 |
| 1 | 148 | 138 |
| 0 | 1018 | 137 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 -3)) |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (- (/ x (pow y 2)) 3))) |
#s(approx (/ (/ x y) y) #s(hole binary64 (/ x (pow y 2)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (/ x (pow y 2)))) |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x)))))) |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2))))))) |
#s(approx (- (/ (/ x y) y) 3) #s(hole binary64 (/ (+ x (* -3 (pow y 2))) (pow y 2)))) |
#s(approx y #s(hole binary64 y)) |
| Outputs |
|---|
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y))) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y))) |
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 y))) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) y))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
x |
y |
#s(approx (- (/ (/ x y) y) 3) #s(literal -3 binary64)) |
#s(approx (- (/ (/ x y) y) 3) (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))) |
#s(approx (/ (/ x y) y) (/.f64 (/.f64 x y) y)) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx x x) |
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x)) x)) |
#s(approx (- (/ (/ x y) y) 3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 3 binary64) x) (pow.f64 y #s(literal -2 binary64))))) |
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -3 binary64) x) y) y)) |
#s(approx y y) |
Compiled 418 to 81 computations (80.6% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 28 | 0 | 28 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 28 | 4 | 32 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 93.2% | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| ✓ | 52.5% | #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) |
| ✓ | 45.8% | #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
| ✓ | 49.2% | #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
Compiled 91 to 52 computations (42.9% saved)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) |
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
5 calls:
| 10.0ms | (/.f64 x (*.f64 y y)) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 y y) |
| 2.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (*.f64 y y) |
| 99.9% | 1 | (/.f64 x (*.f64 y y)) |
| 99.9% | 1 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 99.9% | 1 | x |
| 99.9% | 1 | y |
Compiled 17 to 17 computations (0% saved)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) |
| Outputs |
|---|
#s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
5 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 y y) |
| 1.0ms | (/.f64 x (*.f64 y y)) |
| 1.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | (*.f64 y y) |
| 99.9% | 3 | (/.f64 x (*.f64 y y)) |
| 99.9% | 3 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 93.2% | 1 | x |
| 99.9% | 2 | y |
Compiled 17 to 17 computations (0% saved)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
4 calls:
| 2.0ms | y |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (/.f64 x (*.f64 y y)) |
| 1.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 1 | (/.f64 x (*.f64 y y)) |
| 93.2% | 1 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 93.2% | 1 | (*.f64 y y) |
| 93.2% | 1 | y |
Compiled 16 to 15 computations (6.3% saved)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
| Outputs |
|---|
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) |
5 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 x (*.f64 y y)) |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 2 | (*.f64 y y) |
| 70.2% | 3 | x |
| 82.9% | 2 | y |
| 92.1% | 3 | (/.f64 x (*.f64 y y)) |
| 92.1% | 3 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
Compiled 17 to 17 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
| Outputs |
|---|
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
5 calls:
| 23.0ms | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 x (*.f64 y y)) |
| 1.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.2% | 1 | x |
| 49.2% | 1 | (*.f64 y y) |
| 49.2% | 1 | y |
| 49.2% | 1 | (/.f64 x (*.f64 y y)) |
| 49.2% | 1 | (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
Compiled 17 to 17 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 3.580243429889684e-147 | 1.0244569085761189e-141 |
| 6.0ms | 144× | 0 | valid |
Compiled 190 to 164 computations (13.7% saved)
ival-div: 1.0ms (33.7% of total)ival-sub: 1.0ms (33.7% of total)ival-mult: 1.0ms (33.7% 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)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.9999999945522497 | 48170199945903490.0 |
| 0.0ms | -243349433.02078664 | -3.00846636690643 |
Compiled 10 to 11 computations (-10% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 90 |
| 1 | 39 | 90 |
| 2 | 61 | 90 |
| 3 | 88 | 90 |
| 4 | 110 | 90 |
| 5 | 123 | 90 |
| 6 | 131 | 90 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(if (<=.f64 y #s(literal 6478435864142203/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 binary64)) #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(if (<=.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -200000000 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) (if (<=.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -2 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))))) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64)) |
(if (<=.f64 y #s(literal 6478435864142203/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 binary64)) #s(approx (- (/ (/ x y) y) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
(if (<=.f64 y #s(literal 6478435864142203/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) |
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) |
(if (<=.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -200000000 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) (if (<=.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -2 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))))) |
(if (or (<=.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -200000000 binary64)) (not (<=.f64 (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -2 binary64)))) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))) |
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) |
| 1× | done |
Compiled 90 to 27 computations (70% saved)
Compiled 304 to 142 computations (53.3% saved)
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