
Time bar (total: 2.3s)
| 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)
| 624.0ms | 8 256× | 0 | valid |
ival-mult: 96.0ms (46.2% of total)ival-div: 52.0ms (25% of total)ival-add: 49.0ms (23.6% of total)exact: 5.0ms (2.4% of total)ival-assert: 3.0ms (1.4% of total)adjust: 2.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 48 | 0 | - | 0 | - | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 y #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) | o/n | 48 | 0 |
| ↳ | (*.f64 x y) | overflow | 48 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 48 | 0 |
| - | 0 | 208 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 48 | 0 | 0 |
| - | 0 | 0 | 208 |
| number | freq |
|---|---|
| 0 | 208 |
| 1 | 48 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 25.0ms | 512× | 0 | valid |
Compiled 43 to 22 computations (48.8% saved)
ival-mult: 4.0ms (37% of total)ival-div: 3.0ms (27.8% of total)ival-add: 3.0ms (27.8% 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 | 48 |
| 1 | 43 | 46 |
| 2 | 109 | 44 |
| 3 | 234 | 44 |
| 4 | 333 | 44 |
| 5 | 919 | 42 |
| 6 | 7082 | 42 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 15 | 7 |
| 2 | 21 | 7 |
| 3 | 33 | 7 |
| 4 | 67 | 7 |
| 5 | 276 | 7 |
| 6 | 2491 | 7 |
| 7 | 6215 | 7 |
| 0 | 8213 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y) |
(negabs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 82.4% | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 x y) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y)))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x)))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ y 1) #s(hole binary64 1)) |
#s(approx (+ y 1) #s(hole binary64 (+ 1 y))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x)) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y)))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))))) |
#s(approx (+ y 1) #s(hole binary64 y)) |
#s(approx (+ y 1) #s(hole binary64 (* y (+ 1 (/ 1 y))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((/ (* x y) (+ y 1)) (* x y) x y (+ y 1) 1) |
| 2.0ms | y | @ | -inf | ((/ (* x y) (+ y 1)) (* x y) x y (+ y 1) 1) |
| 1.0ms | x | @ | inf | ((/ (* x y) (+ y 1)) (* x y) x y (+ y 1) 1) |
| 1.0ms | x | @ | 0 | ((/ (* x y) (+ y 1)) (* x y) x y (+ y 1) 1) |
| 1.0ms | y | @ | inf | ((/ (* x y) (+ y 1)) (* x y) x y (+ y 1) 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 266 |
| 0 | 70 | 251 |
| 1 | 377 | 238 |
| 0 | 3433 | 234 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 x y) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y)))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x)))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ y 1) #s(hole binary64 1)) |
#s(approx (+ y 1) #s(hole binary64 (+ 1 y))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x)) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y)))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))))) |
#s(approx (+ y 1) #s(hole binary64 y)) |
#s(approx (+ y 1) #s(hole binary64 (* y (+ 1 (/ 1 y))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x) |
(*.f64 (neg.f64 x) (/.f64 y (+.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) (+.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (+.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(*.f64 y (/.f64 x (-.f64 y #s(literal -1 binary64)))) |
(*.f64 x (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (neg.f64 y) x) (+.f64 (neg.f64 y) #s(literal -1 binary64))) |
(/.f64 (*.f64 y x) (neg.f64 (+.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(/.f64 (*.f64 y x) (-.f64 y #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 y) x) (-.f64 y #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (*.f64 y x) (+.f64 (neg.f64 y) #s(literal -1 binary64)))) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x y) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) x)) |
x |
y |
(*.f64 (-.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) y) |
(*.f64 y (-.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1 binary64)) y) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 y (+.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) |
(-.f64 y (*.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) y)) |
(-.f64 y (*.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64)))) |
(-.f64 y #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)) |
#s(approx (* x y) (*.f64 y x)) |
#s(approx x x) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y)) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y)) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) y x) y) x) y x) y)) |
#s(approx y y) |
#s(approx (+ y 1) #s(literal 1 binary64)) |
#s(approx (+ y 1) (-.f64 y #s(literal -1 binary64))) |
#s(approx (/ (* x y) (+ y 1)) x) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
#s(approx (/ (* x y) (+ y 1)) (fma.f64 x (pow.f64 y #s(literal -2 binary64)) (-.f64 x (/.f64 x y)))) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (fma.f64 x (pow.f64 y #s(literal -3 binary64)) (/.f64 (-.f64 x (/.f64 x y)) y)))) |
#s(approx (+ y 1) y) |
#s(approx (+ y 1) (-.f64 y #s(literal -1 binary64))) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y))) |
Compiled 823 to 183 computations (77.8% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 62 | 4 | 66 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 62 | 5 | 67 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 82.4% | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ▶ | 54.2% | #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
| ▶ | 46.8% | #s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y)) |
| ▶ | 48.3% | #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
| ▶ | 55.2% | #s(approx (/ (* x y) (+ y 1)) x) |
Compiled 55 to 40 computations (27.3% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) x) |
x |
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
(*.f64 y x) |
y |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y)) |
(*.f64 (fma.f64 (neg.f64 x) y x) y) |
(fma.f64 (neg.f64 x) y x) |
(neg.f64 x) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
(-.f64 x (/.f64 x y)) |
(/.f64 x y) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* x (* y (+ 1 (* -1 y)))))) |
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* x (+ 1 (* -1 y))))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (- x (/ x y)) #s(hole binary64 (* x (- 1 (/ 1 y))))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* -1 (* x (* y (- y 1)))))) |
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* -1 (* x (- y 1))))) |
#s(approx (- x (/ x y)) #s(hole binary64 (* -1 (* x (- (/ 1 y) 1))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x)))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* x y))) |
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (+ (* (neg x) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (+ x (* -1 (* x y))))) |
#s(approx (- x (/ x y)) #s(hole binary64 (* -1 (/ x y)))) |
#s(approx (- x (/ x y)) #s(hole binary64 (/ (- (* x y) x) y))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x)) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y)))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))))) |
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ x y))))) |
#s(approx (- x (/ x y)) #s(hole binary64 x)) |
#s(approx (- x (/ x y)) #s(hole binary64 (+ x (* -1 (/ x y))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))))) |
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | y | @ | inf | ((/ (* x y) (+ y 1)) x (/ (* x y) (+ y 1)) (* y x) y (/ (* x y) (+ y 1)) (* (+ (* (neg x) y) x) y) (+ (* (neg x) y) x) (neg x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y)) |
| 3.0ms | y | @ | -inf | ((/ (* x y) (+ y 1)) x (/ (* x y) (+ y 1)) (* y x) y (/ (* x y) (+ y 1)) (* (+ (* (neg x) y) x) y) (+ (* (neg x) y) x) (neg x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y)) |
| 2.0ms | x | @ | -inf | ((/ (* x y) (+ y 1)) x (/ (* x y) (+ y 1)) (* y x) y (/ (* x y) (+ y 1)) (* (+ (* (neg x) y) x) y) (+ (* (neg x) y) x) (neg x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y)) |
| 2.0ms | x | @ | 0 | ((/ (* x y) (+ y 1)) x (/ (* x y) (+ y 1)) (* y x) y (/ (* x y) (+ y 1)) (* (+ (* (neg x) y) x) y) (+ (* (neg x) y) x) (neg x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y)) |
| 2.0ms | x | @ | inf | ((/ (* x y) (+ y 1)) x (/ (* x y) (+ y 1)) (* y x) y (/ (* x y) (+ y 1)) (* (+ (* (neg x) y) x) y) (+ (* (neg x) y) x) (neg x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 567 |
| 0 | 128 | 537 |
| 1 | 555 | 516 |
| 0 | 4559 | 512 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) x) |
x |
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
(*.f64 y x) |
y |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y)) |
(*.f64 (fma.f64 (neg.f64 x) y x) y) |
(fma.f64 (neg.f64 x) y x) |
(neg.f64 x) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
(-.f64 x (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* x (* y (+ 1 (* -1 y)))))) |
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* x (+ 1 (* -1 y))))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (- x (/ x y)) #s(hole binary64 (* x (- 1 (/ 1 y))))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* -1 (* x (* y (- y 1)))))) |
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* -1 (* x (- y 1))))) |
#s(approx (- x (/ x y)) #s(hole binary64 (* -1 (* x (- (/ 1 y) 1))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x)))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* x y))) |
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (+ (* (neg x) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (+ x (* -1 (* x y))))) |
#s(approx (- x (/ x y)) #s(hole binary64 (* -1 (/ x y)))) |
#s(approx (- x (/ x y)) #s(hole binary64 (/ (- (* x y) x) y))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x)) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y)))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))))) |
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* -1 (* x y)))) |
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ x y))))) |
#s(approx (- x (/ x y)) #s(hole binary64 x)) |
#s(approx (- x (/ x y)) #s(hole binary64 (+ x (* -1 (/ x y))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))))) |
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y))))))) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) x) |
x |
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) y)) |
y |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) y)) x) |
(*.f64 (neg.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y)) x) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 x)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (-.f64 (*.f64 y x) x) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 x) y) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (*.f64 (-.f64 y #s(literal 1 binary64)) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 y x) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 y x) x) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x)) |
(*.f64 (*.f64 y x) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 x (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal -1 binary64))) |
(*.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) y))) |
(*.f64 x (neg.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y))) |
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) y) (fma.f64 y x x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) y) (neg.f64 (fma.f64 y x x))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 (*.f64 (neg.f64 x) y) (neg.f64 (fma.f64 y x x)) (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 y x x)) |
(/.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 y x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x x)) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 y x x))) |
(/.f64 (*.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 x) y) (neg.f64 (fma.f64 y x x)) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (*.f64 (*.f64 (neg.f64 x) y) y))) (-.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) y) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) y) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (*.f64 (*.f64 (neg.f64 x) y) y)) (*.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) y) y))))) |
(neg.f64 (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x))) |
(neg.f64 (*.f64 (-.f64 (*.f64 y x) x) y)) |
(neg.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x)) |
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1 binary64) (*.f64 y x)) |
(fma.f64 (*.f64 y y) (neg.f64 x) (*.f64 y x)) |
(fma.f64 (*.f64 (neg.f64 x) y) y (*.f64 y x)) |
(fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) |
(fma.f64 (neg.f64 y) (*.f64 y x) (*.f64 y x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) x) (*.f64 y x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) y) y)) |
(fma.f64 (*.f64 y x) (neg.f64 y) (*.f64 y x)) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) y) y)) |
(fma.f64 y (*.f64 (neg.f64 x) y) (*.f64 y x)) |
(fma.f64 y x (*.f64 (*.f64 (neg.f64 x) y) y)) |
(fma.f64 x (*.f64 (neg.f64 y) y) (*.f64 y x)) |
(fma.f64 x y (*.f64 (*.f64 (neg.f64 x) y) y)) |
(-.f64 (*.f64 y x) (*.f64 (neg.f64 y) (*.f64 (neg.f64 x) y))) |
(-.f64 (*.f64 y x) (*.f64 (*.f64 y y) x)) |
(+.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) y) y)) |
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) x) |
(*.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal -1 binary64)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(*.f64 #s(literal -1 binary64) (-.f64 (*.f64 y x) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
(*.f64 x (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 x (*.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) (-.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) x) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 y x x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 x) y) (neg.f64 (fma.f64 y x x)) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y x x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (neg.f64 (fma.f64 y x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 y x x)) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (neg.f64 x) y) (neg.f64 (fma.f64 y x x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (fma.f64 y x x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 x) y) (neg.f64 (fma.f64 y x x)) (*.f64 x x))) |
(neg.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) |
(neg.f64 (-.f64 (*.f64 y x) x)) |
(neg.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
(fma.f64 (neg.f64 x) y (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 x) y x) |
(fma.f64 (neg.f64 y) x (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 y) x x) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) x) |
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 (*.f64 y x) #s(literal -1 binary64) x) |
(fma.f64 y (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 y (neg.f64 x) x) |
(fma.f64 x (neg.f64 y) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 x (neg.f64 y) x) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y x x)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x x))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (neg.f64 (fma.f64 y x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 y x x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) |
(-.f64 x (*.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64))) |
(-.f64 x (*.f64 (neg.f64 x) (neg.f64 y))) |
(-.f64 x (*.f64 (neg.f64 y) (neg.f64 x))) |
(-.f64 x (*.f64 y x)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (neg.f64 x) y) (neg.f64 (fma.f64 y x x)) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (neg.f64 x) y) (neg.f64 (fma.f64 y x x)) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64)) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 y x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(+.f64 (*.f64 (neg.f64 x) y) x) |
(+.f64 x (*.f64 (neg.f64 x) y)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (neg.f64 x) y) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 x y) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 x) y) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) x) (*.f64 x x))) |
(fma.f64 (/.f64 x y) #s(literal -1 binary64) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 x y) x) |
(fma.f64 x (/.f64 #s(literal -1 binary64) y) x) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 x y) x)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) x) (*.f64 x x)))) |
(-.f64 x (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))) |
(-.f64 x (/.f64 x y)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) x) (*.f64 x x)))) |
(+.f64 (/.f64 (neg.f64 x) y) x) |
(+.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 x (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) y) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)) |
#s(approx x x) |
#s(approx (* y x) (*.f64 y x)) |
#s(approx (* (+ (* (neg x) y) x) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (+ (* (neg x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
#s(approx (neg x) (neg.f64 x)) |
#s(approx (- x (/ x y)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) x)) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx (* (+ (* (neg x) y) x) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (+ (* (neg x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
#s(approx (- x (/ x y)) (*.f64 (-.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y)) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) x) y x) y)) |
#s(approx y y) |
#s(approx (* (+ (* (neg x) y) x) y) (*.f64 y x)) |
#s(approx (* (+ (* (neg x) y) x) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (+ (* (neg x) y) x) x) |
#s(approx (+ (* (neg x) y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) |
#s(approx (- x (/ x y)) (/.f64 (-.f64 (*.f64 y x) x) y)) |
#s(approx (/ (* x y) (+ y 1)) x) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
#s(approx (/ (* x y) (+ y 1)) (fma.f64 x (pow.f64 y #s(literal -2 binary64)) (-.f64 x (/.f64 x y)))) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (fma.f64 x (pow.f64 y #s(literal -3 binary64)) (/.f64 (-.f64 x (/.f64 x y)) y)))) |
#s(approx (* (+ (* (neg x) y) x) y) (*.f64 (*.f64 (neg.f64 x) y) y)) |
#s(approx (* (+ (* (neg x) y) x) y) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (+ (* (neg x) y) x) (*.f64 (neg.f64 x) y)) |
#s(approx (+ (* (neg x) y) x) (*.f64 (-.f64 (/.f64 x y) x) y)) |
#s(approx (- x (/ x y)) x) |
#s(approx (- x (/ x y)) (-.f64 x (/.f64 x y))) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y))) |
#s(approx (+ (* (neg x) y) x) (*.f64 (-.f64 (/.f64 x y) x) y)) |
Compiled 4 044 to 637 computations (84.2% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 204 | 1 | 205 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 1 | 1 |
| Total | 204 | 6 | 210 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 82.4% | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | 54.2% | #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
| ✓ | 46.8% | #s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y)) |
| ▶ | 46.8% | #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
| ✓ | 48.3% | #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
| ✓ | 55.2% | #s(approx (/ (* x y) (+ y 1)) x) |
Compiled 70 to 51 computations (27.1% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 y x) |
x |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y)))) |
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x)))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))))) |
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* x y))) |
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (- 1 y) #s(hole binary64 1)) |
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x)) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y)))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))))) |
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (* x y) (+ y 1)) (* (- 1 y) (* y x)) (- 1 y) 1 y (* y x) x) |
| 1.0ms | x | @ | inf | ((/ (* x y) (+ y 1)) (* (- 1 y) (* y x)) (- 1 y) 1 y (* y x) x) |
| 1.0ms | x | @ | 0 | ((/ (* x y) (+ y 1)) (* (- 1 y) (* y x)) (- 1 y) 1 y (* y x) x) |
| 1.0ms | y | @ | -inf | ((/ (* x y) (+ y 1)) (* (- 1 y) (* y x)) (- 1 y) 1 y (* y x) x) |
| 1.0ms | y | @ | inf | ((/ (* x y) (+ y 1)) (* (- 1 y) (* y x)) (- 1 y) 1 y (* y x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 375 |
| 0 | 94 | 358 |
| 1 | 456 | 342 |
| 0 | 3968 | 338 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 y x) |
x |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y)))) |
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* x (* y (- 1 y))))) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x)))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))))) |
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* x y))) |
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* y (+ x (* -1 (* x y)))))) |
#s(approx (- 1 y) #s(hole binary64 1)) |
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x)) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y)))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))))) |
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* -1 (* x (pow y 2))))) |
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y))))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 y))) |
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1)))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))))) |
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))))) |
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y)))))) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 y x)) (fma.f64 y (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 y #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(neg.f64 (+.f64 #s(literal -1 binary64) y)) |
(neg.f64 (-.f64 y #s(literal 1 binary64))) |
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (neg.f64 y) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (neg.f64 y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 y)) |
#s(literal 1 binary64) |
y |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 y x) |
(*.f64 x y) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) x)) |
x |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)) |
#s(approx (* (- 1 y) (* y x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
#s(approx (* y x) (*.f64 y x)) |
#s(approx x x) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y)) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y)) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) y x) y) x) y x) y)) |
#s(approx (* (- 1 y) (* y x)) (*.f64 y x)) |
#s(approx (* (- 1 y) (* y x)) (*.f64 (fma.f64 (neg.f64 x) y x) y)) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(approx (- 1 y) (-.f64 #s(literal 1 binary64) y)) |
#s(approx y y) |
#s(approx (/ (* x y) (+ y 1)) x) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
#s(approx (/ (* x y) (+ y 1)) (fma.f64 x (pow.f64 y #s(literal -2 binary64)) (-.f64 x (/.f64 x y)))) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (fma.f64 x (pow.f64 y #s(literal -3 binary64)) (/.f64 (-.f64 x (/.f64 x y)) y)))) |
#s(approx (* (- 1 y) (* y x)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (* (- 1 y) (* y x)) (*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)) |
#s(approx (- 1 y) (neg.f64 y)) |
#s(approx (- 1 y) (*.f64 (-.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) y)) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y))) |
#s(approx (- 1 y) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (neg.f64 y))) |
Compiled 1 385 to 248 computations (82.1% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 73 | 0 | 73 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 73 | 6 | 79 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 82.4% | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | 54.2% | #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
| ✓ | 46.8% | #s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y)) |
| ✓ | 46.8% | #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
| ✓ | 48.3% | #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
| ✓ | 55.2% | #s(approx (/ (* x y) (+ y 1)) x) |
Compiled 140 to 74 computations (47.1% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) x) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y)) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
#s(approx (/ (* x y) (+ y 1)) x) |
3 calls:
| 16.0ms | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 89.1% | 2 | x |
| 100.0% | 3 | y |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) x) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y)) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
2 calls:
| 2.0ms | y |
| 2.0ms | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | y |
| 80.8% | 2 | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) x) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y)) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) x) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
#s(approx (/ (* x y) (+ y 1)) x) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) x) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) x) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
#s(approx (/ (* x y) (+ y 1)) x) |
1 calls:
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) x) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) x) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.2% | 1 | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 55.2% | 1 | x |
| 55.2% | 1 | y |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.899833800378227e+262 | +inf |
Compiled 10 to 11 computations (-10% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 0.011104359934989243 | 423.6926942565378 |
| 17.0ms | -95320070691.14789 | -3.613482037984228e-29 |
| 13.0ms | 320× | 0 | valid |
Compiled 570 to 451 computations (20.9% saved)
ival-div: 2.0ms (30.7% of total)ival-mult: 2.0ms (30.7% of total)ival-add: 1.0ms (15.4% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 0.011104359934989243 | 423.6926942565378 |
| 1.0ms | -95320070691.14789 | -3.613482037984228e-29 |
| 2.0ms | 48× | 0 | valid |
Compiled 490 to 411 computations (16.1% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.011104359934989243 | 423.6926942565378 |
| 1.0ms | -95320070691.14789 | -3.613482037984228e-29 |
Compiled 410 to 351 computations (14.4% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 134 |
| 1 | 49 | 134 |
| 2 | 64 | 134 |
| 3 | 82 | 134 |
| 4 | 112 | 134 |
| 5 | 308 | 134 |
| 6 | 2625 | 134 |
| 7 | 6514 | 134 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 100000000000000001617283929500958347809617271215324681096755776296054153530035788436133522496440536428819053303318396315116321724674929173953241540025456475844343490985646025955809392324929988807089135627070664687603614947110183136436054375358690154446666302750720 binary64)) (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(approx (/ (* x y) (+ y 1)) x)) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))) #s(approx (/ (* x y) (+ y 1)) x))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #s(approx (/ (* x y) (+ y 1)) x))) |
#s(approx (/ (* x y) (+ y 1)) x) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 100000000000000001617283929500958347809617271215324681096755776296054153530035788436133522496440536428819053303318396315116321724674929173953241540025456475844343490985646025955809392324929988807089135627070664687603614947110183136436054375358690154446666302750720 binary64)) (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(approx (/ (* x y) (+ y 1)) x)) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))) |
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))) #s(approx (/ (* x y) (+ y 1)) x))) |
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 3/4 binary64)))) #s(approx (/ (* x y) (+ y 1)) x) #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #s(approx (/ (* x y) (+ y 1)) x))) |
#s(approx (/ (* x y) (+ y 1)) x) |
| 1× | done |
Compiled 142 to 35 computations (75.4% saved)
Compiled 424 to 144 computations (66% saved)
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