Details

Time bar (total: 1.8s)

analyze95.0ms (5.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
37.5%62.4%0.1%6
50%37.5%12.6%7
56.2%31.2%12.6%8
62.4%18.7%18.8%9
65.6%15.6%18.8%10
68.7%9.4%22%11
70.2%7.8%22%12
71.8%4.7%23.5%13
72.6%3.9%23.5%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample801.0ms (44.5%)

Results
757.0ms8256×body128valid
12.0ms151×body128invalid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify7.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
13×associate-*l*_binary64
11×associate-*r*_binary64
10×*-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11410
22810
33610
43510
53510

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.2b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.2b
(*.f64 (*.f64 (*.f64 x 3) y) y)
Compiler

Compiled 34 to 22 computations (35.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 (*.f64 x 3) y) y)
✓0.3b
(*.f64 (*.f64 x 3) y)

series17.0ms (1%)

Counts
2 → 48
Calls

2 calls:

12.0ms
(*.f64 (*.f64 (*.f64 x 3) y) y)
5.0ms
(*.f64 (*.f64 x 3) y)

rewrite11.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
16×pow1_binary64
9×cbrt-unprod_binary64
9×prod-exp_binary64
Counts
2 → 43
Calls

2 calls:

5.0ms
(*.f64 (*.f64 (*.f64 x 3) y) y)
4.0ms
(*.f64 (*.f64 x 3) y)

simplify83.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
665×fma-def_binary64
371×associate-*r/_binary64
317×*-commutative_binary64
296×associate-*l/_binary64
272×associate-/l*_binary64
Counts
91 → 63
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068960
1166852
2587852
3878850
41232850
52115850
64694850
74991850

prune52.0ms (2.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New56763
Fresh000
Picked011
Done000
Total56864
Error
0.0b
Counts
64 → 8
Alt Table
StatusErrorProgram
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y)) (cbrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y))) (cbrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y)))
✓0.2b
(*.f64 (*.f64 (*.f64 x 3) y) y)
0.3b
(*.f64 (*.f64 x (*.f64 3 y)) y)
▶0.3b
(*.f64 3 (*.f64 y (*.f64 y x)))
30.9b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) y) (sqrt.f64 y)) (sqrt.f64 y))
0.9b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
9.7b
(*.f64 (*.f64 x 3) (*.f64 y y))
24.0b
(*.f64 (sqrt.f64 (*.f64 3 (*.f64 y (*.f64 y x)))) (sqrt.f64 (*.f64 3 (*.f64 y (*.f64 y x)))))
Compiler

Compiled 985 to 565 computations (42.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 y (*.f64 y x))
✓0.2b
(*.f64 3 (*.f64 y (*.f64 y x)))

series19.0ms (1.1%)

Counts
2 → 48
Calls

2 calls:

11.0ms
(*.f64 3 (*.f64 y (*.f64 y x)))
8.0ms
(*.f64 y (*.f64 y x))

rewrite12.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
16×pow1_binary64
9×cbrt-unprod_binary64
9×prod-exp_binary64
Counts
2 → 43
Calls

2 calls:

5.0ms
(*.f64 3 (*.f64 y (*.f64 y x)))
5.0ms
(*.f64 y (*.f64 y x))

simplify90.0ms (5%)

Algorithm
1×egg-herbie
Rules
475×unswap-sqr_binary64
366×times-frac_binary64
338×associate-+l+_binary64
333×sqr-pow_binary64
318×*-commutative_binary64
Counts
91 → 61
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064965
1143848
2504848
3772846
41133846
52151846
63985846
74494846
84862846

prune50.0ms (2.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New59261
Fresh246
Picked011
Done011
Total61869
Error
0b
Counts
69 → 8
Alt Table
StatusErrorProgram
30.9b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) y) (sqrt.f64 y)) (sqrt.f64 y))
0.5b
(*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y (*.f64 y x))))
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y)) (cbrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y))) (cbrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y)))
✓0.2b
(*.f64 (*.f64 (*.f64 x 3) y) y)
0.3b
(*.f64 (*.f64 x (*.f64 3 y)) y)
✓0.3b
(*.f64 3 (*.f64 y (*.f64 y x)))
▶0.2b
(*.f64 (*.f64 3 y) (*.f64 y x))
24.0b
(*.f64 (sqrt.f64 (*.f64 3 (*.f64 y (*.f64 y x)))) (sqrt.f64 (*.f64 3 (*.f64 y (*.f64 y x)))))
Compiler

Compiled 956 to 444 computations (53.6% saved)

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 3 y) (*.f64 y x))

series10.0ms (0.6%)

Counts
1 → 24
Calls

1 calls:

10.0ms
(*.f64 (*.f64 3 y) (*.f64 y x))

rewrite7.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
13×add-cbrt-cube_binary64
13×add-exp-log_binary64
13×pow1_binary64
8×cbrt-unprod_binary64
8×prod-exp_binary64
Counts
1 → 24
Calls

1 calls:

5.0ms
(*.f64 (*.f64 3 y) (*.f64 y x))

simplify98.0ms (5.4%)

Algorithm
1×egg-herbie
Rules
431×distribute-rgt-in_binary64
388×distribute-lft-in_binary64
343×associate-+l+_binary64
323×*-commutative_binary64
312×unswap-sqr_binary64
Counts
48 → 31
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051607
1122517
2473517
3709517
41021517
51822517
63315517
74730517
84999517
94890517

prune28.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New31031
Fresh055
Picked011
Done022
Total31839
Error
0b
Counts
39 → 8
Alt Table
StatusErrorProgram
30.9b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) y) (sqrt.f64 y)) (sqrt.f64 y))
0.5b
(*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y (*.f64 y x))))
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y)) (cbrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y))) (cbrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y)))
✓0.2b
(*.f64 (*.f64 (*.f64 x 3) y) y)
▶0.3b
(*.f64 (*.f64 x (*.f64 3 y)) y)
✓0.3b
(*.f64 3 (*.f64 y (*.f64 y x)))
✓0.2b
(*.f64 (*.f64 3 y) (*.f64 y x))
24.0b
(*.f64 (sqrt.f64 (*.f64 3 (*.f64 y (*.f64 y x)))) (sqrt.f64 (*.f64 3 (*.f64 y (*.f64 y x)))))
Compiler

Compiled 594 to 325 computations (45.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 x (*.f64 3 y)) y)
✓0.2b
(*.f64 x (*.f64 3 y))

series17.0ms (0.9%)

Counts
2 → 48
Calls

2 calls:

12.0ms
(*.f64 (*.f64 x (*.f64 3 y)) y)
4.0ms
(*.f64 x (*.f64 3 y))

rewrite11.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
16×pow1_binary64
9×cbrt-unprod_binary64
9×prod-exp_binary64
Counts
2 → 43
Calls

2 calls:

5.0ms
(*.f64 (*.f64 x (*.f64 3 y)) y)
4.0ms
(*.f64 x (*.f64 3 y))

simplify85.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
687×fma-def_binary64
412×*-commutative_binary64
332×associate-*r/_binary64
298×associate-/l*_binary64
279×associate-/l/_binary64
Counts
91 → 64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070961
1165853
2671853
3981851
41367851
52292851
64887851
75170851

prune47.0ms (2.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New62264
Fresh224
Picked011
Done033
Total64872
Error
0b
Counts
72 → 8
Alt Table
StatusErrorProgram
0.3b
(*.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 1) y)
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y)) (cbrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y))) (cbrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y)))
✓0.2b
(*.f64 (*.f64 (*.f64 x 3) y) y)
✓0.3b
(*.f64 (*.f64 x (*.f64 3 y)) y)
✓0.3b
(*.f64 3 (*.f64 y (*.f64 y x)))
✓0.2b
(*.f64 (*.f64 3 y) (*.f64 y x))
0.5b
(*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) (*.f64 y (*.f64 y x))))
32.2b
(*.f64 (*.f64 (*.f64 3 x) (pow.f64 y 3/2)) (sqrt.f64 y))
Compiler

Compiled 877 to 504 computations (42.5% saved)

regimes146.0ms (8.1%)

Accuracy

Total 0.2b remaining (94.3%)

Threshold costs 0.2b (94.3%)

Counts
33 → 1
Compiler

Compiled 2350 to 1528 computations (35% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21010

end86.0ms (4.8%)

Compiler

Compiled 118 to 82 computations (30.5% saved)

Profiling

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