Details

Time bar (total: 1.8s)

analyze110.0ms (6.1%)

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)

sample819.0ms (45.5%)

Results
768.0ms8256×body128valid
17.0ms207×body128invalid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify12.0ms (0.7%)

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)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series19.0ms (1%)

Counts
2 → 48
Calls

2 calls:

14.0ms
(*.f64 (*.f64 (*.f64 x 3) y) y)
5.0ms
(*.f64 (*.f64 x 3) y)

rewrite14.0ms (0.8%)

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)

simplify86.0ms (4.8%)

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

prune51.0ms (2.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New55863
Fresh000
Picked011
Done000
Total55964
Error
0b
Counts
64 → 9
Alt Table
StatusErrorProgram
28.8b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 3) y) y) (*.f64 (*.f64 (*.f64 x 3) y) y)) (*.f64 (*.f64 (*.f64 x 3) y) y)))
▶0.3b
(*.f64 (*.f64 x (*.f64 3 y)) y)
✓0.2b
(*.f64 (*.f64 (*.f64 x 3) y) y)
18.6b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3)) y)
0.3b
(*.f64 3 (*.f64 y (*.f64 y x)))
10.4b
(*.f64 3 (*.f64 (pow.f64 y 2) x))
31.5b
(*.f64 (*.f64 3 (*.f64 x (pow.f64 y 3/2))) (sqrt.f64 y))
0.9b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
10.4b
(*.f64 (*.f64 x 3) (*.f64 y y))
Compiler

Compiled 983 to 573 computations (41.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series15.0ms (0.8%)

Counts
2 → 48
Calls

2 calls:

10.0ms
(*.f64 (*.f64 x (*.f64 3 y)) y)
5.0ms
(*.f64 x (*.f64 3 y))

rewrite14.0ms (0.8%)

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:

7.0ms
(*.f64 x (*.f64 3 y))
5.0ms
(*.f64 (*.f64 x (*.f64 3 y)) y)

simplify87.0ms (4.8%)

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

prune46.0ms (2.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New63164
Fresh167
Picked011
Done011
Total64973
Error
0b
Counts
73 → 9
Alt Table
StatusErrorProgram
✓0.3b
(*.f64 (*.f64 x (*.f64 3 y)) y)
✓0.2b
(*.f64 (*.f64 (*.f64 x 3) y) y)
18.6b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3)) y)
10.3b
(*.f64 x (*.f64 (*.f64 3 y) y))
▶0.3b
(*.f64 3 (*.f64 y (*.f64 y x)))
10.4b
(*.f64 3 (*.f64 (pow.f64 y 2) x))
31.5b
(*.f64 (*.f64 3 (*.f64 x (pow.f64 y 3/2))) (sqrt.f64 y))
0.9b
(*.f64 (*.f64 (*.f64 (*.f64 x 3) y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
10.4b
(*.f64 (*.f64 x 3) (*.f64 y y))
Compiler

Compiled 947 to 550 computations (41.9% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series20.0ms (1.1%)

Counts
2 → 48
Calls

2 calls:

12.0ms
(*.f64 3 (*.f64 y (*.f64 y x)))
8.0ms
(*.f64 y (*.f64 y x))

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

simplify97.0ms (5.4%)

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

prune44.0ms (2.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New60161
Fresh156
Picked011
Done022
Total61970
Error
0b
Counts
70 → 9
Alt Table
StatusErrorProgram
▶0.2b
(*.f64 (*.f64 3 y) (*.f64 y x))
✓0.3b
(*.f64 (*.f64 x (*.f64 3 y)) y)
✓0.2b
(*.f64 (*.f64 (*.f64 x 3) y) y)
18.6b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3)) y)
10.3b
(*.f64 x (*.f64 (*.f64 3 y) y))
✓0.3b
(*.f64 3 (*.f64 y (*.f64 y x)))
10.4b
(*.f64 3 (*.f64 (pow.f64 y 2) x))
31.5b
(*.f64 (*.f64 3 (*.f64 x (pow.f64 y 3/2))) (sqrt.f64 y))
10.4b
(*.f64 (*.f64 x 3) (*.f64 y y))
Compiler

Compiled 903 to 416 computations (53.9% saved)

localize10.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

series11.0ms (0.6%)

Counts
1 → 24
Calls

1 calls:

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

rewrite10.0ms (0.6%)

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))

simplify94.0ms (5.2%)

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

prune24.0ms (1.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New31031
Fresh055
Picked011
Done033
Total31940
Error
0b
Counts
40 → 9
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 (*.f64 3 y) (*.f64 y x))
✓0.3b
(*.f64 (*.f64 x (*.f64 3 y)) y)
✓0.2b
(*.f64 (*.f64 (*.f64 x 3) y) y)
18.6b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3)) y)
10.3b
(*.f64 x (*.f64 (*.f64 3 y) y))
✓0.3b
(*.f64 3 (*.f64 y (*.f64 y x)))
10.4b
(*.f64 3 (*.f64 (pow.f64 y 2) x))
31.5b
(*.f64 (*.f64 3 (*.f64 x (pow.f64 y 3/2))) (sqrt.f64 y))
10.4b
(*.f64 (*.f64 x 3) (*.f64 y y))
Compiler

Compiled 490 to 260 computations (46.9% saved)

regimes103.0ms (5.7%)

Accuracy

Total 0.2b remaining (95.5%)

Threshold costs 0.2b (95.5%)

Counts
23 → 1
Compiler

Compiled 1521 to 1009 computations (33.7% saved)

simplify4.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21010

end84.0ms (4.7%)

Compiler

Compiled 105 to 73 computations (30.5% saved)

Profiling

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