Details

Time bar (total: 9.5s)

analyze37.0ms (0.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%50%25%3
37.5%25%37.5%4
43.7%12.5%43.8%5
46.9%6.2%46.9%6
48.4%3.1%48.5%7
49.2%1.6%49.2%8
49.6%0.8%49.6%9
49.6%0.4%50%10
49.7%0.2%50.1%11
49.7%0.1%50.2%12
49.7%0%50.2%13
49.7%0%50.2%14
Compiler

Compiled 6 to 4 computations (33.3% saved)

sample25.0ms (0.3%)

Algorithm
1×intervals
Results
14.0ms256×body128valid
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
156
256

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.3b
(*.f64 x (log.f64 x))
Compiler

Compiled 15 to 9 computations (40% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 x (log.f64 x))

series60.0ms (0.6%)

Counts
1 → 12
Calls

1 calls:

60.0ms
(*.f64 x (log.f64 x))

rewrite8.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
7×add-sqr-sqrt_binary64
6×log-prod_binary64
5×*-un-lft-identity_binary64
5×add-cube-cbrt_binary64
4×associate-*r*_binary64
Counts
1 → 27
Calls

1 calls:

6.0ms
(*.f64 x (log.f64 x))

simplify105.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1025×fma-def_binary64
501×sub-neg_binary64
395×div-sub_binary64
347×fma-neg_binary64
343×distribute-rgt-neg-out_binary64
Counts
39 → 33
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057359
196325
2258325
3452325
41256325
52761325
64564325
75019325

prune28.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New25833
Fresh000
Picked011
Done000
Total25934
Error
0.0b
Counts
34 → 9
Alt Table
StatusErrorProgram
29.7b
(*.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))
41.6b
(cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (log.f64 x) (log.f64 x)) (log.f64 x))))
1.4b
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (cbrt.f64 (*.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))
✓0.3b
(*.f64 x (log.f64 x))
29.7b
(*.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
1.3b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))) (cbrt.f64 (log.f64 x)))
0.6b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
1.4b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
▶0.4b
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
Compiler

Compiled 519 to 202 computations (61.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
✓0.3b
(*.f64 x (log.f64 (cbrt.f64 x)))
✓0.3b
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
✓0.6b
(cbrt.f64 x)

series2.5s (26.2%)

Counts
4 → 48
Calls

4 calls:

999.0ms
(*.f64 x (log.f64 (cbrt.f64 x)))
753.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
704.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
34.0ms
(cbrt.f64 x)

rewrite20.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
24×log-prod_binary64
18×add-sqr-sqrt_binary64
16×*-un-lft-identity_binary64
16×add-cube-cbrt_binary64
15×cbrt-prod_binary64
Counts
4 → 94
Calls

4 calls:

5.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
4.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
4.0ms
(*.f64 x (log.f64 (cbrt.f64 x)))
2.0ms
(cbrt.f64 x)

simplify121.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
567×fma-def_binary64
553×fma-neg_binary64
539×*-commutative_binary64
343×distribute-rgt-in_binary64
313×distribute-lft-in_binary64
Counts
142 → 148
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01461944
13311653
213511504
340651496
449201496
549311496

prune118.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1624166
Fresh437
Picked101
Done011
Total1678175
Error
0b
Counts
175 → 8
Alt Table
StatusErrorProgram
41.6b
(cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (log.f64 x) (log.f64 x)) (log.f64 x))))
▶0.3b
(fma.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2) (*.f64 x (log.f64 (cbrt.f64 x))))
✓0.3b
(*.f64 x (log.f64 x))
0.4b
(*.f64 3 (*.f64 (log.f64 (pow.f64 x 1/3)) x))
0.3b
(+.f64 (*.f64 x (*.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
0.6b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
1.4b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
29.3b
(/.f64 (*.f64 x (*.f64 (*.f64 x (log.f64 (cbrt.f64 x))) (log.f64 x))) (*.f64 x (log.f64 (cbrt.f64 x))))
Compiler

Compiled 3155 to 1260 computations (60.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (cbrt.f64 x))
✓0.2b
(fma.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2) (*.f64 x (log.f64 (cbrt.f64 x))))
0.3b
(*.f64 x (log.f64 (cbrt.f64 x)))
0.6b
(cbrt.f64 x)

series2.8s (29.2%)

Counts
2 → 24
Calls

2 calls:

1.8s
(fma.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2) (*.f64 x (log.f64 (cbrt.f64 x))))
986.0ms
(log.f64 (cbrt.f64 x))

rewrite5.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
6×log-prod_binary64
4×*-un-lft-identity_binary64
4×add-sqr-sqrt_binary64
4×add-cube-cbrt_binary64
3×cbrt-prod_binary64
Counts
2 → 28
Calls

2 calls:

2.0ms
(log.f64 (cbrt.f64 x))
1.0ms
(fma.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2) (*.f64 x (log.f64 (cbrt.f64 x))))

simplify122.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
435×distribute-rgt-in_binary64
424×distribute-lft-in_binary64
413×log-prod_binary64
230×fma-neg_binary64
225×*-commutative_binary64
Counts
52 → 49
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064679
1102573
2229447
3665435
42605435
54655435
65181435

prune208.0ms (2.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1541155
Fresh156
Picked011
Done011
Total1558163
Error
0b
Counts
163 → 8
Alt Table
StatusErrorProgram
41.6b
(cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (log.f64 x) (log.f64 x)) (log.f64 x))))
✓0.3b
(fma.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2) (*.f64 x (log.f64 (cbrt.f64 x))))
✓0.3b
(*.f64 x (log.f64 x))
0.4b
(*.f64 3 (*.f64 (log.f64 (pow.f64 x 1/3)) x))
▶0.2b
(fma.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2) (*.f64 x (log.f64 (pow.f64 x 1/3))))
0.6b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
1.4b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
29.3b
(/.f64 (*.f64 x (*.f64 (*.f64 x (log.f64 (cbrt.f64 x))) (log.f64 x))) (*.f64 x (log.f64 (cbrt.f64 x))))
Compiler

Compiled 2708 to 1023 computations (62.2% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(fma.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2) (*.f64 x (log.f64 (pow.f64 x 1/3))))
✓0.3b
(*.f64 x (log.f64 (pow.f64 x 1/3)))
0.6b
(cbrt.f64 x)
✓5.1b
(pow.f64 x 1/3)

series2.3s (23.8%)

Counts
3 → 28
Calls

3 calls:

1.5s
(fma.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2) (*.f64 x (log.f64 (pow.f64 x 1/3))))
724.0ms
(*.f64 x (log.f64 (pow.f64 x 1/3)))
46.0ms
(pow.f64 x 1/3)

rewrite17.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
14×log-prod_binary64
13×add-sqr-sqrt_binary64
11×*-un-lft-identity_binary64
11×add-cube-cbrt_binary64
9×unpow-prod-down_binary64
Counts
3 → 65
Calls

3 calls:

8.0ms
(*.f64 x (log.f64 (pow.f64 x 1/3)))
3.0ms
(pow.f64 x 1/3)
1.0ms
(fma.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2) (*.f64 x (log.f64 (pow.f64 x 1/3))))

simplify120.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
938×fma-def_binary64
387×exp-prod_binary64
382×log-prod_binary64
290×*-commutative_binary64
222×unswap-sqr_binary64
Counts
93 → 107
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01321276
12421117
2807928
31958910
44214870
54986870

prune200.0ms (2.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1250125
Fresh055
Picked011
Done022
Total1258133
Error
0b
Counts
133 → 8
Alt Table
StatusErrorProgram
41.6b
(cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (log.f64 x) (log.f64 x)) (log.f64 x))))
✓0.3b
(fma.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2) (*.f64 x (log.f64 (cbrt.f64 x))))
✓0.3b
(*.f64 x (log.f64 x))
0.4b
(*.f64 3 (*.f64 (log.f64 (pow.f64 x 1/3)) x))
✓0.2b
(fma.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2) (*.f64 x (log.f64 (pow.f64 x 1/3))))
0.6b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
1.4b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
29.3b
(/.f64 (*.f64 x (*.f64 (*.f64 x (log.f64 (cbrt.f64 x))) (log.f64 x))) (*.f64 x (log.f64 (cbrt.f64 x))))
Compiler

Compiled 2286 to 1275 computations (44.2% saved)

regimes78.0ms (0.8%)

Accuracy

Total 0.2b remaining (90.9%)

Threshold costs 0.2b (90.9%)

Counts
33 → 1
Compiler

Compiled 1023 to 568 computations (44.5% saved)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01120
11320
21320

end1.0ms (0%)

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample636.0ms (6.7%)

Algorithm
1×intervals
Results
317.0ms8000×body128valid
0.0ms4×body128nan
Compiler

Compiled 116 to 69 computations (40.5% saved)

Profiling

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