
Time bar (total: 1.7s)
| 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 11 to 11 computations (0% saved)
| 477.0ms | 8 256× | 0 | valid |
ival-div!: 126.0ms (61.5% of total)ival-mult!: 57.0ms (27.8% of total)ival-sub!: 20.0ms (9.8% of total)adjust: 2.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (/.f64 (*.f64 x y) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 8 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 z #s(literal 8 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x y) #s(literal 2 binary64)) | o/n | 1 | 0 |
| ↳ | (*.f64 x y) | overflow | 29 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 87.0ms | 512× | 0 | valid |
Compiled 63 to 31 computations (50.8% saved)
ival-div!: 4.0ms (46.9% of total)ival-mult!: 3.0ms (35.2% of total)ival-sub!: 1.0ms (11.7% of total)adjust: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 99 |
| 1 | 52 | 97 |
| 2 | 71 | 93 |
| 3 | 111 | 93 |
| 4 | 177 | 93 |
| 5 | 368 | 93 |
| 6 | 1730 | 93 |
| 7 | 5887 | 93 |
| 0 | 9 | 9 |
| 0 | 13 | 9 |
| 1 | 18 | 9 |
| 2 | 24 | 9 |
| 3 | 37 | 9 |
| 4 | 65 | 9 |
| 5 | 168 | 9 |
| 6 | 1047 | 9 |
| 7 | 5521 | 9 |
| 0 | 8425 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
| Outputs |
|---|
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
(sort x y)
Compiled 9 to 9 computations (0% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
Compiled 9 to 9 computations (0% saved)
| Inputs |
|---|
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
(/.f64 (*.f64 x y) #s(literal 2 binary64)) |
(*.f64 x y) |
x |
y |
#s(literal 2 binary64) |
(/.f64 z #s(literal 8 binary64)) |
z |
#s(literal 8 binary64) |
| Outputs |
|---|
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1/8 z))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (- (* 1/2 (* x y)) (* 1/8 z)))) |
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y))))) |
#s(approx (/ z 8) #s(hole binary64 (* 1/8 z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8)))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) x y 2 (/ z 8) z 8) |
| 1.0ms | x | @ | -inf | ((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) x y 2 (/ z 8) z 8) |
| 1.0ms | x | @ | 0 | ((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) x y 2 (/ z 8) z 8) |
| 1.0ms | y | @ | -inf | ((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) x y 2 (/ z 8) z 8) |
| 1.0ms | x | @ | inf | ((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) x y 2 (/ z 8) z 8) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 257 |
| 0 | 72 | 254 |
| 1 | 288 | 254 |
| 0 | 2376 | 247 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
(/.f64 (*.f64 x y) #s(literal 2 binary64)) |
(*.f64 x y) |
x |
y |
#s(literal 2 binary64) |
(/.f64 z #s(literal 8 binary64)) |
z |
#s(literal 8 binary64) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1/8 z))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (- (* 1/2 (* x y)) (* 1/8 z)))) |
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (* x y) #s(hole binary64 (* x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y))))) |
#s(approx (/ z 8) #s(hole binary64 (* 1/8 z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8)))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))))) |
| Outputs |
|---|
(/.f64 (/.f64 (fma.f64 (*.f64 y x) #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) z)) #s(literal 2 binary64)) #s(literal 8 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 z #s(literal 8 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y x) #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) z))) #s(literal -16 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 z #s(literal 8 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 y x) #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64)))) (/.f64 (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 z #s(literal 8 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 z #s(literal 8 binary64)) (fma.f64 (/.f64 y #s(literal 2 binary64)) x (/.f64 z #s(literal 8 binary64))) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal 8 binary64)) #s(literal 16 binary64)) (/.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 16 binary64))) |
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
(*.f64 (/.f64 y #s(literal 2 binary64)) x) |
(*.f64 y (/.f64 x #s(literal 2 binary64))) |
(*.f64 x (/.f64 y #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64)) |
(/.f64 (*.f64 y x) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64))) |
(*.f64 y x) |
(*.f64 x y) |
x |
y |
#s(literal 2 binary64) |
(/.f64 (neg.f64 (neg.f64 z)) #s(literal 8 binary64)) |
(/.f64 (neg.f64 z) #s(literal -8 binary64)) |
(/.f64 z #s(literal 8 binary64)) |
(neg.f64 (/.f64 (neg.f64 z) #s(literal 8 binary64))) |
(neg.f64 (/.f64 z #s(literal -8 binary64))) |
z |
#s(literal 8 binary64) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))) |
#s(approx (/ (* x y) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
#s(approx (* x y) (*.f64 y x)) |
#s(approx x x) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (fma.f64 (/.f64 z x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 (/.f64 z x) #s(literal 1/8 binary64))))) |
#s(approx y y) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) x)))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))) |
#s(approx (/ z 8) (*.f64 #s(literal 1/8 binary64) z)) |
#s(approx z z) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) z)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -1/2 binary64) #s(literal 1/8 binary64)))) |
Compiled 726 to 157 computations (78.4% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 46 | 3 | 49 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 47 | 3 | 50 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | #s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))) |
| ▶ | 50.4% | #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
| ▶ | 49.7% | #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) |
Compiled 46 to 40 computations (13% saved)
| Inputs |
|---|
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) |
(*.f64 #s(literal -1/8 binary64) z) |
#s(literal -1/8 binary64) |
z |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
#s(literal 1/2 binary64) |
(*.f64 y x) |
y |
x |
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)) |
(*.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1/8 z))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (- (* 1/2 (* x y)) (* 1/8 z)))) |
#s(approx (* 1/2 (* y x)) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1/8 z))) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y))))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y))))) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))))) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x))))) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))))) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y))))) |
#s(approx (* -1/8 z) #s(hole binary64 (* -1/8 z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8)))) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8)))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))))) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | z | @ | -inf | ((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) -1/8 z (- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) 1/2 (* y x) y x (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x)) |
| 1.0ms | x | @ | -inf | ((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) -1/8 z (- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) 1/2 (* y x) y x (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x)) |
| 1.0ms | x | @ | inf | ((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) -1/8 z (- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) 1/2 (* y x) y x (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x)) |
| 1.0ms | y | @ | -inf | ((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) -1/8 z (- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) 1/2 (* y x) y x (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x)) |
| 1.0ms | x | @ | 0 | ((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) -1/8 z (- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) 1/2 (* y x) y x (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 482 |
| 0 | 89 | 473 |
| 1 | 326 | 473 |
| 0 | 2518 | 463 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) |
(*.f64 #s(literal -1/8 binary64) z) |
#s(literal -1/8 binary64) |
z |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
#s(literal 1/2 binary64) |
(*.f64 y x) |
y |
x |
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1/8 z))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (- (* 1/2 (* x y)) (* 1/8 z)))) |
#s(approx (* 1/2 (* y x)) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1/8 z))) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y))))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y))))) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))))) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x))))) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))))) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y))))) |
#s(approx (* -1/8 z) #s(hole binary64 (* -1/8 z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8)))) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8)))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))))) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))))) |
| Outputs |
|---|
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) |
(*.f64 #s(literal -1/8 binary64) z) |
(*.f64 z #s(literal -1/8 binary64)) |
(neg.f64 (*.f64 #s(literal 1/8 binary64) z)) |
#s(literal -1/8 binary64) |
z |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) y)) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)) |
#s(literal 1/2 binary64) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) #s(literal 1/64 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 (*.f64 #s(literal -1/2 binary64) x) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) z) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) z) (fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal -1/2 binary64) x) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) z) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) z) (fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 (neg.f64 z) #s(literal 1/8 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal -1/8 binary64) z)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 (neg.f64 z) #s(literal 1/8 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) (*.f64 (neg.f64 z) #s(literal 1/8 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) (*.f64 #s(literal -1/8 binary64) z)) |
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(fma.f64 z #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (*.f64 (neg.f64 z) #s(literal 1/8 binary64))) |
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) z)) |
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 z) #s(literal 1/8 binary64))) |
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/8 binary64) z)) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 z) #s(literal 1/8 binary64))) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z))) (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal -1/2 binary64) x) y))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) z) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) z) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 (neg.f64 z) #s(literal -1/8 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 #s(literal 1/8 binary64) z)) |
(-.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 (neg.f64 y) (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) z) (fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) z) (fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal 1/8 binary64) z)))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 (neg.f64 z) #s(literal 1/8 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 #s(literal -1/8 binary64) z)) |
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))) |
#s(approx (* 1/2 (* y x)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
#s(approx (* y x) (*.f64 y x)) |
#s(approx x x) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (*.f64 #s(literal -1/8 binary64) z)) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (fma.f64 (/.f64 z x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (*.f64 (fma.f64 (/.f64 z x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 (/.f64 z x) #s(literal 1/8 binary64))))) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 (/.f64 z x) #s(literal 1/8 binary64))))) |
#s(approx y y) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) x)))) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) x)))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))) |
#s(approx (* -1/8 z) (*.f64 #s(literal -1/8 binary64) z)) |
#s(approx z z) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) z)) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) z)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -1/2 binary64) #s(literal 1/8 binary64)))) |
#s(approx (+ (* (* 1/2 x) y) (* -1/8 z)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -1/2 binary64) #s(literal 1/8 binary64)))) |
Compiled 2 210 to 260 computations (88.2% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 94 | 1 | 95 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 0 | 0 |
| Total | 95 | 3 | 98 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | #s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))) |
| ▶ | 50.7% | #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) x)) |
| ✓ | 49.7% | #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) |
Compiled 46 to 40 computations (13% saved)
| Inputs |
|---|
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
| Outputs |
|---|
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1/8 z))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (- (* 1/2 (* x y)) (* 1/8 z)))) |
#s(approx (* (* 1/2 y) x) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))))) |
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8)))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((- (/ (* x y) 2) (/ z 8)) (* (* 1/2 y) x) (* 1/2 y) 1/2 y x) |
| 1.0ms | y | @ | inf | ((- (/ (* x y) 2) (/ z 8)) (* (* 1/2 y) x) (* 1/2 y) 1/2 y x) |
| 1.0ms | x | @ | inf | ((- (/ (* x y) 2) (/ z 8)) (* (* 1/2 y) x) (* 1/2 y) 1/2 y x) |
| 1.0ms | x | @ | -inf | ((- (/ (* x y) 2) (/ z 8)) (* (* 1/2 y) x) (* 1/2 y) 1/2 y x) |
| 1.0ms | y | @ | 0 | ((- (/ (* x y) 2) (/ z 8)) (* (* 1/2 y) x) (* 1/2 y) 1/2 y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 248 |
| 0 | 68 | 245 |
| 1 | 288 | 245 |
| 0 | 2391 | 238 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1/8 z))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (- (* 1/2 (* x y)) (* 1/8 z)))) |
#s(approx (* (* 1/2 y) x) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* 1/2 (* x y)))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* x (+ (* -1/8 (/ z x)) (* 1/2 y))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x))))))) |
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* y (+ (* -1/8 (/ z y)) (* 1/2 x))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y))))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (+ (* -1/8 z) (* 1/2 (* x y))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* z (- (* 1/2 (/ (* x y) z)) 1/8)))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(hole binary64 (* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z))))))) |
| Outputs |
|---|
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y x)) |
(*.f64 (*.f64 y x) #s(literal 1/2 binary64)) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) y)) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 y #s(literal 1/2 binary64)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) y)) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))) |
#s(approx (* (* 1/2 y) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
#s(approx x x) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (fma.f64 (/.f64 z x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 (/.f64 z x) #s(literal 1/8 binary64))))) |
#s(approx (* 1/2 y) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx y y) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) x)))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) z)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -1/2 binary64) #s(literal 1/8 binary64)))) |
Compiled 441 to 84 computations (81% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 26 | 0 | 26 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 26 | 3 | 29 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | #s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))) |
| ✓ | 50.7% | #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) x)) |
| ✓ | 49.7% | #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) |
Compiled 116 to 68 computations (41.4% saved)
| Inputs |
|---|
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) x)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))) |
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
| Outputs |
|---|
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))) |
7 calls:
| 3.0ms | (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
| 2.0ms | (*.f64 x y) |
| 2.0ms | (/.f64 z #s(literal 8 binary64)) |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (/.f64 z #s(literal 8 binary64)) |
| 100.0% | 1 | (*.f64 x y) |
| 100.0% | 1 | (/.f64 (*.f64 x y) #s(literal 2 binary64)) |
| 100.0% | 1 | (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
Compiled 23 to 33 computations (-43.5% saved)
| Inputs |
|---|
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) x)) |
| Outputs |
|---|
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) x)) |
7 calls:
| 34.0ms | (*.f64 x y) |
| 2.0ms | (/.f64 z #s(literal 8 binary64)) |
| 2.0ms | z |
| 2.0ms | (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.7% | 3 | (/.f64 z #s(literal 8 binary64)) |
| 79.7% | 3 | (*.f64 x y) |
| 79.7% | 3 | (/.f64 (*.f64 x y) #s(literal 2 binary64)) |
| 64.5% | 5 | (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
| 71.1% | 3 | x |
| 71.9% | 3 | y |
| 74.7% | 3 | z |
Compiled 23 to 33 computations (-43.5% saved)
| Inputs |
|---|
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
| Outputs |
|---|
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) |
2 calls:
| 1.0ms | (/.f64 (*.f64 x y) #s(literal 2 binary64)) |
| 1.0ms | (*.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.4% | 3 | (*.f64 x y) |
| 79.4% | 3 | (/.f64 (*.f64 x y) #s(literal 2 binary64)) |
Compiled 8 to 10 computations (-25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) |
| Outputs |
|---|
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) |
7 calls:
| 1.0ms | (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
| 1.0ms | (/.f64 z #s(literal 8 binary64)) |
| 1.0ms | (/.f64 (*.f64 x y) #s(literal 2 binary64)) |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.7% | 1 | (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))) |
| 49.7% | 1 | x |
| 49.7% | 1 | y |
| 49.7% | 1 | (/.f64 z #s(literal 8 binary64)) |
| 49.7% | 1 | z |
| 49.7% | 1 | (*.f64 x y) |
| 49.7% | 1 | (/.f64 (*.f64 x y) #s(literal 2 binary64)) |
Compiled 23 to 33 computations (-43.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 37909960584.27812 | 198960646266053600.0 |
| 0.0ms | -6.739843971612606e-78 | -4.047718360923372e-79 |
Compiled 12 to 15 computations (-25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 37909960584.27812 | 198960646266053600.0 |
| 0.0ms | -6.739843971612606e-78 | -4.047718360923372e-79 |
Compiled 12 to 15 computations (-25% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 135 |
| 1 | 40 | 135 |
| 2 | 46 | 135 |
| 3 | 60 | 135 |
| 4 | 100 | 135 |
| 5 | 440 | 135 |
| 6 | 3647 | 135 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))) |
(if (<=.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (if (<=.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 50000000000 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) x)))) |
(if (<=.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (if (<=.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 50000000000 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) |
| Outputs |
|---|
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))) |
(if (<=.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (if (<=.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 50000000000 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) x)))) |
(if (<=.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (if (<=.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 50000000000 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))) |
(if (or (<=.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1303703024854071/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (not (<=.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 50000000000 binary64)))) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))) |
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) |
| 1× | done |
Compiled 135 to 34 computations (74.8% saved)
(sort x y)
Compiled 324 to 116 computations (64.2% saved)
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