Commute and associate
Time bar (total: 1.9s)
| 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 13 to 10 computations (23.1% saved)
| 613.0ms | 4 133× | 1 | valid |
| 585.0ms | 4 122× | 2 | valid |
| 0.0ms | 1× | 0 | valid |
adjust: 459.0ms (48.5% of total)ival-add!: 447.0ms (47.2% of total)ival-sub!: 41.0ms (4.3% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 110 |
| 1 | 163 | 10 |
| 2 | 744 | 10 |
| 3 | 2597 | 10 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z))) |
(abs x)
(abs y)
(abs z)
(negabs x)
(negabs y)
(negabs z)
(sort x y z)
Compiled 22 to 16 computations (27.3% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 274 |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z))) |
(+.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
(+.f64 x (+.f64 y z)) |
(+.f64 y z) |
| Outputs |
|---|
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64)) |
#s(approx (+ (+ x y) z) (+.f64 y z)) |
#s(approx (+ (+ x y) z) (+.f64 x (+.f64 y z))) |
#s(approx (+ x y) y) |
#s(approx (+ x y) (+.f64 x y)) |
#s(approx x x) |
#s(approx (+ (+ x y) z) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) (/.f64 z x))))) |
#s(approx (+ x y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))) |
#s(approx (+ (+ x y) z) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x)) #s(literal 1 binary64))))) |
#s(approx (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x y) z) (+.f64 x z)) |
#s(approx (+ y z) z) |
#s(approx (+ (+ x y) z) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x y) (/.f64 z y))))) |
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))) |
#s(approx (+ y z) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))) |
#s(approx (+ (+ x y) z) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) #s(literal 1 binary64))))) |
#s(approx (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))) |
#s(approx (+ y z) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))) |
#s(approx (+ (+ x y) z) (*.f64 z (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) (/.f64 y z))))) |
#s(approx (+ y z) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
#s(approx (+ (+ x y) z) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) z)) #s(literal 1 binary64))))) |
#s(approx (+ y z) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 1.0ms | x | -inf |
| 1.0ms | x | inf |
| 1.0ms | y | -inf |
| 0.0ms | z | -inf |
| 0.0ms | y | inf |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 0 | 13 | 30 |
| 1 | 36 | 20 |
| 2 | 151 | 20 |
| 3 | 840 | 20 |
| 4 | 3157 | 20 |
| 0 | 4787 | 20 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z))) |
(+.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
(+.f64 x (+.f64 y z)) |
(+.f64 y z) |
| Outputs |
|---|
#s(literal 0 binary64) |
(neg.f64 (-.f64 (-.f64 (neg.f64 y) z) x)) |
(-.f64 (+.f64 z x) (neg.f64 y)) |
(-.f64 (+.f64 z y) (neg.f64 x)) |
(-.f64 z (-.f64 (neg.f64 x) y)) |
(-.f64 (+.f64 y x) (neg.f64 z)) |
(-.f64 y (-.f64 (neg.f64 x) z)) |
(-.f64 x (-.f64 (neg.f64 y) z)) |
(+.f64 (+.f64 z x) y) |
(+.f64 (+.f64 z y) x) |
(+.f64 z (+.f64 y x)) |
(+.f64 (+.f64 y x) z) |
(+.f64 y (+.f64 z x)) |
(+.f64 x (+.f64 z y)) |
(neg.f64 (-.f64 (neg.f64 x) y)) |
(-.f64 (+.f64 (+.f64 y x) (+.f64 z x)) (+.f64 z x)) |
(-.f64 (+.f64 (+.f64 y x) (-.f64 y (-.f64 x z))) (-.f64 y (-.f64 x z))) |
(-.f64 (+.f64 (+.f64 y x) (+.f64 z (+.f64 y x))) (+.f64 z (+.f64 y x))) |
(-.f64 (-.f64 (+.f64 y x) (-.f64 (neg.f64 x) z)) (+.f64 z x)) |
(-.f64 (-.f64 (+.f64 y x) (neg.f64 x)) x) |
(-.f64 (+.f64 (+.f64 y x) y) y) |
(-.f64 (+.f64 (+.f64 y x) (+.f64 z y)) (+.f64 z y)) |
(-.f64 (+.f64 (+.f64 y x) x) x) |
(-.f64 (+.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)) |
(-.f64 (-.f64 (+.f64 y x) (neg.f64 y)) y) |
(-.f64 (-.f64 (+.f64 y x) (-.f64 y (-.f64 x z))) (-.f64 (-.f64 x y) z)) |
(-.f64 (-.f64 (+.f64 y x) (-.f64 (-.f64 z x) y)) (-.f64 y (-.f64 z x))) |
(-.f64 (-.f64 (+.f64 y x) (-.f64 z x)) (-.f64 x z)) |
(-.f64 (-.f64 (+.f64 y x) (-.f64 (neg.f64 x) y)) (+.f64 y x)) |
(-.f64 (-.f64 (+.f64 y x) (-.f64 (-.f64 (neg.f64 y) z) x)) (+.f64 z (+.f64 y x))) |
(-.f64 (-.f64 (+.f64 y x) (-.f64 (neg.f64 y) z)) (+.f64 z y)) |
(-.f64 (-.f64 y z) (-.f64 (neg.f64 x) z)) |
(-.f64 (-.f64 y (-.f64 z x)) (neg.f64 z)) |
(-.f64 (+.f64 z x) (-.f64 z y)) |
(-.f64 (-.f64 x z) (-.f64 (neg.f64 y) z)) |
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) y)) |
(-.f64 (neg.f64 z) (-.f64 (-.f64 (neg.f64 y) z) x)) |
(-.f64 (+.f64 z y) (-.f64 z x)) |
(-.f64 (+.f64 z (+.f64 y x)) z) |
(-.f64 z (-.f64 (-.f64 z x) y)) |
(-.f64 (+.f64 y x) #s(literal 0 binary64)) |
(-.f64 y (neg.f64 x)) |
(-.f64 x (neg.f64 y)) |
(+.f64 (+.f64 (+.f64 y x) (+.f64 z x)) (-.f64 (neg.f64 x) z)) |
(+.f64 (+.f64 (+.f64 y x) (-.f64 y (-.f64 x z))) (-.f64 (-.f64 x y) z)) |
(+.f64 (+.f64 (+.f64 y x) (+.f64 z (+.f64 y x))) (-.f64 (-.f64 (neg.f64 y) z) x)) |
(+.f64 (-.f64 (+.f64 y x) (-.f64 (neg.f64 x) z)) (-.f64 (neg.f64 x) z)) |
(+.f64 (-.f64 (+.f64 y x) (neg.f64 x)) (neg.f64 x)) |
(+.f64 (+.f64 (+.f64 y x) y) (neg.f64 y)) |
(+.f64 (+.f64 (+.f64 y x) (+.f64 z y)) (-.f64 (neg.f64 y) z)) |
(+.f64 (+.f64 (+.f64 y x) x) (neg.f64 x)) |
(+.f64 (+.f64 (+.f64 y x) (+.f64 y x)) (-.f64 (neg.f64 x) y)) |
(+.f64 (-.f64 (+.f64 y x) (neg.f64 y)) (neg.f64 y)) |
(+.f64 (-.f64 (+.f64 y x) (-.f64 y (-.f64 x z))) (-.f64 y (-.f64 x z))) |
(+.f64 (-.f64 (+.f64 y x) (-.f64 (-.f64 z x) y)) (-.f64 (-.f64 z x) y)) |
(+.f64 (-.f64 (+.f64 y x) (-.f64 z x)) (-.f64 z x)) |
(+.f64 (-.f64 (+.f64 y x) (-.f64 (neg.f64 x) y)) (-.f64 (neg.f64 x) y)) |
(+.f64 (-.f64 (+.f64 y x) (-.f64 (-.f64 (neg.f64 y) z) x)) (-.f64 (-.f64 (neg.f64 y) z) x)) |
(+.f64 (-.f64 (+.f64 y x) (-.f64 (neg.f64 y) z)) (-.f64 (neg.f64 y) z)) |
(+.f64 (-.f64 y z) (+.f64 z x)) |
(+.f64 (-.f64 y (-.f64 z x)) z) |
(+.f64 (+.f64 z x) (-.f64 y z)) |
(+.f64 (-.f64 x z) (+.f64 z y)) |
(+.f64 #s(literal 0 binary64) (+.f64 y x)) |
(+.f64 (neg.f64 z) (+.f64 z (+.f64 y x))) |
(+.f64 (+.f64 z y) (-.f64 x z)) |
(+.f64 (+.f64 z (+.f64 y x)) (neg.f64 z)) |
(+.f64 z (-.f64 y (-.f64 z x))) |
(+.f64 (+.f64 y x) #s(literal 0 binary64)) |
(+.f64 y x) |
(+.f64 x y) |
x |
y |
z |
(neg.f64 (-.f64 (-.f64 (neg.f64 y) z) x)) |
(-.f64 (+.f64 z x) (neg.f64 y)) |
(-.f64 (+.f64 z y) (neg.f64 x)) |
(-.f64 z (-.f64 (neg.f64 x) y)) |
(-.f64 (+.f64 y x) (neg.f64 z)) |
(-.f64 y (-.f64 (neg.f64 x) z)) |
(-.f64 x (-.f64 (neg.f64 y) z)) |
(+.f64 (+.f64 z x) y) |
(+.f64 (+.f64 z y) x) |
(+.f64 z (+.f64 y x)) |
(+.f64 (+.f64 y x) z) |
(+.f64 y (+.f64 z x)) |
(+.f64 x (+.f64 z y)) |
(neg.f64 (-.f64 (neg.f64 y) z)) |
(-.f64 (+.f64 (+.f64 z y) (+.f64 z x)) (+.f64 z x)) |
(-.f64 (+.f64 (+.f64 z y) (-.f64 y (-.f64 x z))) (-.f64 y (-.f64 x z))) |
(-.f64 (+.f64 (+.f64 z y) (-.f64 (-.f64 z x) y)) (-.f64 (-.f64 z x) y)) |
(-.f64 (+.f64 (+.f64 z y) (-.f64 z x)) (-.f64 z x)) |
(-.f64 (+.f64 (+.f64 z y) (+.f64 z (+.f64 y x))) (+.f64 z (+.f64 y x))) |
(-.f64 (-.f64 (+.f64 z y) (-.f64 (neg.f64 x) z)) (+.f64 z x)) |
(-.f64 (+.f64 (+.f64 z y) y) y) |
(-.f64 (+.f64 (+.f64 z y) (+.f64 z y)) (+.f64 z y)) |
(-.f64 (+.f64 (+.f64 z y) z) z) |
(-.f64 (+.f64 (+.f64 z y) (+.f64 y x)) (+.f64 y x)) |
(-.f64 (-.f64 (+.f64 z y) (neg.f64 y)) y) |
(-.f64 (-.f64 (+.f64 z y) (-.f64 (-.f64 z x) y)) (-.f64 y (-.f64 z x))) |
(-.f64 (-.f64 (+.f64 z y) (-.f64 (neg.f64 x) y)) (+.f64 y x)) |
(-.f64 (-.f64 (+.f64 z y) (-.f64 (-.f64 (neg.f64 y) z) x)) (+.f64 z (+.f64 y x))) |
(-.f64 (-.f64 (+.f64 z y) (-.f64 (neg.f64 y) z)) (+.f64 z y)) |
(-.f64 (-.f64 (+.f64 z y) (neg.f64 z)) z) |
(-.f64 (-.f64 y x) (-.f64 (neg.f64 x) z)) |
(-.f64 (+.f64 z x) (-.f64 x y)) |
(-.f64 (-.f64 (neg.f64 x) z) (-.f64 (-.f64 (neg.f64 x) z) (+.f64 z y))) |
(-.f64 (-.f64 y (-.f64 x z)) (neg.f64 x)) |
(-.f64 (-.f64 (-.f64 z x) y) (-.f64 (-.f64 (-.f64 z x) y) (+.f64 z y))) |
(-.f64 (-.f64 z x) (-.f64 (neg.f64 x) y)) |
(-.f64 (-.f64 (neg.f64 x) y) (-.f64 (-.f64 (neg.f64 x) y) (+.f64 z y))) |
(-.f64 (neg.f64 x) (-.f64 (-.f64 (neg.f64 y) z) x)) |
(-.f64 (-.f64 (-.f64 (neg.f64 y) z) x) (-.f64 (-.f64 (-.f64 (neg.f64 y) z) x) (+.f64 z y))) |
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) z)) |
(-.f64 (-.f64 (neg.f64 y) z) (-.f64 (-.f64 (neg.f64 y) z) (+.f64 z y))) |
(-.f64 (neg.f64 y) (-.f64 (neg.f64 y) (+.f64 z y))) |
(-.f64 (neg.f64 z) (-.f64 (neg.f64 z) (+.f64 z y))) |
(-.f64 (+.f64 z y) #s(literal 0 binary64)) |
(-.f64 (+.f64 z (+.f64 y x)) x) |
(-.f64 z (neg.f64 y)) |
(-.f64 (+.f64 y x) (-.f64 x z)) |
(-.f64 y (neg.f64 z)) |
(-.f64 x (-.f64 (-.f64 x y) z)) |
(+.f64 (+.f64 (+.f64 z y) (+.f64 z x)) (-.f64 (neg.f64 x) z)) |
(+.f64 (+.f64 (+.f64 z y) (-.f64 y (-.f64 x z))) (-.f64 (-.f64 x y) z)) |
(+.f64 (+.f64 (+.f64 z y) (-.f64 (-.f64 z x) y)) (-.f64 y (-.f64 z x))) |
(+.f64 (+.f64 (+.f64 z y) (-.f64 z x)) (-.f64 x z)) |
(+.f64 (+.f64 (+.f64 z y) (+.f64 z (+.f64 y x))) (-.f64 (-.f64 (neg.f64 y) z) x)) |
(+.f64 (-.f64 (+.f64 z y) (-.f64 (neg.f64 x) z)) (-.f64 (neg.f64 x) z)) |
(+.f64 (+.f64 (+.f64 z y) y) (neg.f64 y)) |
(+.f64 (+.f64 (+.f64 z y) (+.f64 z y)) (-.f64 (neg.f64 y) z)) |
(+.f64 (+.f64 (+.f64 z y) z) (neg.f64 z)) |
(+.f64 (+.f64 (+.f64 z y) (+.f64 y x)) (-.f64 (neg.f64 x) y)) |
(+.f64 (-.f64 (+.f64 z y) (neg.f64 y)) (neg.f64 y)) |
(+.f64 (-.f64 (+.f64 z y) (-.f64 (-.f64 z x) y)) (-.f64 (-.f64 z x) y)) |
(+.f64 (-.f64 (+.f64 z y) (-.f64 (neg.f64 x) y)) (-.f64 (neg.f64 x) y)) |
(+.f64 (-.f64 (+.f64 z y) (-.f64 (-.f64 (neg.f64 y) z) x)) (-.f64 (-.f64 (neg.f64 y) z) x)) |
(+.f64 (-.f64 (+.f64 z y) (-.f64 (neg.f64 y) z)) (-.f64 (neg.f64 y) z)) |
(+.f64 (-.f64 (+.f64 z y) (neg.f64 z)) (neg.f64 z)) |
(+.f64 (-.f64 y x) (+.f64 z x)) |
(+.f64 (+.f64 z x) (-.f64 y x)) |
(+.f64 (-.f64 (neg.f64 x) z) (+.f64 (+.f64 z x) (+.f64 z y))) |
(+.f64 (-.f64 y (-.f64 x z)) x) |
(+.f64 (-.f64 (-.f64 z x) y) (+.f64 (-.f64 y (-.f64 z x)) (+.f64 z y))) |
(+.f64 (-.f64 z x) (+.f64 y x)) |
(+.f64 (-.f64 (neg.f64 x) y) (+.f64 (+.f64 y x) (+.f64 z y))) |
(+.f64 (neg.f64 x) (+.f64 z (+.f64 y x))) |
(+.f64 (-.f64 (-.f64 (neg.f64 y) z) x) (+.f64 (+.f64 z (+.f64 y x)) (+.f64 z y))) |
(+.f64 #s(literal 0 binary64) (+.f64 z y)) |
(+.f64 (-.f64 (neg.f64 y) z) (+.f64 (+.f64 z y) (+.f64 z y))) |
(+.f64 (neg.f64 y) (+.f64 y (+.f64 z y))) |
(+.f64 (neg.f64 z) (+.f64 z (+.f64 z y))) |
(+.f64 (+.f64 z y) #s(literal 0 binary64)) |
(+.f64 (+.f64 z (+.f64 y x)) (neg.f64 x)) |
(+.f64 z y) |
(+.f64 (+.f64 y x) (-.f64 z x)) |
(+.f64 y z) |
(+.f64 x (-.f64 y (-.f64 x z))) |
Compiled 2 840 to 590 computations (79.2% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 161 | 1 | 162 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 162 | 1 | 163 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | #s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64)) |
Compiled 13 to 10 computations (23.1% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 13 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| Outputs |
|---|
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64)) |
9 calls:
| Time | Variable | Point |
|---|---|---|
| 0.0ms | x | 0 |
| 0.0ms | z | inf |
| 0.0ms | x | inf |
| 0.0ms | x | -inf |
| 0.0ms | y | -inf |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 14 |
| 0 | 10 | 14 |
| 1 | 34 | 4 |
| 2 | 154 | 4 |
| 3 | 1102 | 4 |
| 0 | 4219 | 4 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | saturated |
| Inputs |
|---|
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| Outputs |
|---|
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
Compiled 0 to 3 computations (-∞% saved)
1 alts after pruning (0 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 0 | 1 | 1 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | #s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64)) |
Compiled 13 to 10 computations (23.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64)) |
(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z))) |
| Outputs |
|---|
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64)) |
4 calls:
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z))) |
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
Compiled 38 to 32 computations (15.8% saved)
| 1× | done |
Compiled 13 to 10 computations (23.1% saved)
(sort x y z)
(negabs z)
(negabs y)
(negabs x)
(abs z)
(abs y)
(abs x)
Compiled 206 to 158 computations (23.3% saved)
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