Details

Time bar (total: 17.2s)

analyze427.0ms (2.5%)

Algorithm
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
0%87.4%12.6%5
0%74.9%25.1%6
6.2%68.6%25.1%7
12.5%56.2%31.4%8
14%48.4%37.6%9
21.1%41.3%37.6%10
26.9%32.4%40.7%11
28.7%27.5%43.8%12
33.4%22.7%43.8%13
37.2%17.4%45.4%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.4s (8%)

Results
1.0s8256×body128valid
85.0ms837×body128invalid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify209.0ms (1.2%)

Algorithm
egg-herbie
Rules
2528×fma-neg_binary64
1701×fma-def_binary64
364×distribute-rgt-in_binary64
336×unsub-neg_binary64
328×associate--r-_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11512
22312
33912
48512
518412
632212
751812
868112
9109712
10178312
11181212
12188212
13191612
14193012
15331212
16422012
17391912
18405312
19411812
20415412
21416412
22422412
23418212
24418212
25599412

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
12.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
12.3b
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
0.3b
(*.f64 x (log.f64 (/.f64 x y)))
11.9b
(log.f64 (/.f64 x y))

series1.1s (6.5%)

Counts
3 → 84
Calls

3 calls:

411.0ms
(*.f64 x (log.f64 (/.f64 x y)))
398.0ms
(log.f64 (/.f64 x y))
301.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

rewrite20.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
65×log-prod_binary64
45×times-frac_binary64
44×add-sqr-sqrt_binary64
42×*-un-lft-identity_binary64
42×add-cube-cbrt_binary64
Counts
3 → 119
Calls

3 calls:

7.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
4.0ms
(*.f64 x (log.f64 (/.f64 x y)))
2.0ms
(log.f64 (/.f64 x y))

simplify161.0ms (0.9%)

Algorithm
egg-herbie
Rules
736×fma-def_binary64
603×fma-neg_binary64
459×distribute-rgt-in_binary64
432×distribute-lft-in_binary64
129×associate-*l*_binary64
Counts
203 → 178
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02352794
14202726
213282685
344022685
449782685
549982685
649572685

prune146.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1708178
Fresh000
Picked101
Done000
Total1718179
Error
0.0b
Counts
179 → 8
Alt Table
StatusErrorProgram
31.1b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) x) (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y))) x)) z)
0.2b
(-.f64 (*.f64 x (+.f64 (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) z)
5.5b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) y)) x)) z)
12.4b
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))) z)
12.3b
(-.f64 (+.f64 (*.f64 x (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y))))) z)
33.6b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (*.f64 (log.f64 (neg.f64 x)) x)) z)
38.5b
(-.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y))))) z)
4.0b
(-.f64 (*.f64 x (+.f64 (log.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (log.f64 (/.f64 x (cbrt.f64 y))))) z)
Compiler

Compiled 3150 to 999 computations (68.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(+.f64 (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
0.4b
(/.f64 (cbrt.f64 x) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 x)

series2.2s (12.8%)

Counts
4 → 72
Calls

4 calls:

1.7s
(+.f64 (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
395.0ms
(/.f64 (cbrt.f64 x) (cbrt.f64 y))
34.0ms
(cbrt.f64 x)
34.0ms
(cbrt.f64 y)

rewrite71.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
156×cbrt-prod_binary64
144×times-frac_binary64
120×log-prod_binary64
110×*-un-lft-identity_binary64
109×add-sqr-sqrt_binary64
Counts
4 → 226
Calls

4 calls:

13.0ms
(+.f64 (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
3.0ms
(/.f64 (cbrt.f64 x) (cbrt.f64 y))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 y)

simplify164.0ms (1%)

Algorithm
egg-herbie
Rules
615×fma-def_binary64
409×distribute-rgt-in_binary64
394×distribute-lft-in_binary64
309×fma-neg_binary64
191×sub-neg_binary64
Counts
298 → 398
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03005521
15975154
216604586
345964512
450094512

prune502.0ms (2.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New5320532
Fresh077
Picked011
Done000
Total5328540
Error
0.0b
Counts
540 → 8
Alt Table
StatusErrorProgram
31.1b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) x) (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y))) x)) z)
0.2b
(-.f64 (*.f64 x (+.f64 (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) z)
5.5b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) y)) x)) z)
12.4b
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))) z)
12.3b
(-.f64 (+.f64 (*.f64 x (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y))))) z)
33.6b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (*.f64 (log.f64 (neg.f64 x)) x)) z)
38.5b
(-.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y))))) z)
4.0b
(-.f64 (*.f64 x (+.f64 (log.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (log.f64 (/.f64 x (cbrt.f64 y))))) z)
Compiler

Compiled 14902 to 5054 computations (66.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(+.f64 (log.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (log.f64 (/.f64 x (cbrt.f64 y))))
0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
3.8b
(log.f64 (/.f64 x (cbrt.f64 y)))

series4.4s (25.5%)

Counts
3 → 60
Calls

3 calls:

3.0s
(+.f64 (log.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (log.f64 (/.f64 x (cbrt.f64 y))))
1.4s
(log.f64 (/.f64 x (cbrt.f64 y)))
40.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))

rewrite32.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
51×log-prod_binary64
48×add-sqr-sqrt_binary64
44×*-un-lft-identity_binary64
40×add-cube-cbrt_binary64
39×times-frac_binary64
Counts
3 → 139
Calls

3 calls:

11.0ms
(+.f64 (log.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (log.f64 (/.f64 x (cbrt.f64 y))))
6.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
2.0ms
(log.f64 (/.f64 x (cbrt.f64 y)))

simplify115.0ms (0.7%)

Algorithm
egg-herbie
Rules
801×fma-neg_binary64
279×log-prod_binary64
270×fma-def_binary64
223×associate-*l*_binary64
194×log-div_binary64
Counts
199 → 214
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02113304
14342997
212332623
340782607
450932607

prune261.0ms (1.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2680268
Fresh066
Picked011
Done011
Total2688276
Error
0.0b
Counts
276 → 8
Alt Table
StatusErrorProgram
31.1b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) x) (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y))) x)) z)
0.2b
(-.f64 (*.f64 x (+.f64 (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) z)
5.5b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) y)) x)) z)
12.4b
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))) z)
12.3b
(-.f64 (+.f64 (*.f64 x (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y))))) z)
33.6b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (*.f64 (log.f64 (neg.f64 x)) x)) z)
38.5b
(-.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y))))) z)
4.0b
(-.f64 (*.f64 x (+.f64 (log.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (log.f64 (/.f64 x (cbrt.f64 y))))) z)
Compiler

Compiled 6630 to 2649 computations (60% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(+.f64 (*.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) y)) x))
0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
5.1b
(log.f64 (/.f64 (cbrt.f64 x) y))

series4.0s (23.6%)

Counts
3 → 60
Calls

3 calls:

2.7s
(+.f64 (*.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) y)) x))
1.3s
(log.f64 (/.f64 (cbrt.f64 x) y))
46.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))

rewrite18.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64
25×cbrt-prod_binary64
24×*-un-lft-identity_binary64
24×add-cube-cbrt_binary64
22×log-prod_binary64
Counts
3 → 92
Calls

3 calls:

7.0ms
(+.f64 (*.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) y)) x))
5.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
3.0ms
(log.f64 (/.f64 (cbrt.f64 x) y))

simplify113.0ms (0.7%)

Algorithm
egg-herbie
Rules
569×fma-neg_binary64
459×distribute-rgt-in_binary64
437×fma-def_binary64
427×distribute-lft-in_binary64
243×log-prod_binary64
Counts
152 → 148
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01942365
14232161
213381870
343241820
449521820
551611820

prune387.0ms (2.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2011202
Fresh055
Picked011
Done112
Total2028210
Error
0b
Counts
210 → 8
Alt Table
StatusErrorProgram
31.1b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) x) (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y))) x)) z)
0.2b
(-.f64 (*.f64 x (+.f64 (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) z)
5.5b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) y)) x)) z)
33.7b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) x) (*.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 (neg.f64 (cbrt.f64 x)))) x)) z)
12.4b
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 (/.f64 x y)) 3))) z)
12.3b
(-.f64 (+.f64 (*.f64 x (*.f64 2 (log.f64 (cbrt.f64 (/.f64 x y))))) (*.f64 x (log.f64 (cbrt.f64 (/.f64 x y))))) z)
33.6b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (*.f64 (log.f64 (neg.f64 x)) x)) z)
38.5b
(-.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y)))) (sqrt.f64 (*.f64 x (log.f64 (/.f64 x y))))) z)
Compiler

Compiled 5341 to 2154 computations (59.7% saved)

regimes1.2s (7.1%)

Accuracy

Total 0.2b remaining (87.9%)

Threshold costs 0.2b (87.9%)

Counts
186 → 1
Compiler

Compiled 17322 to 11300 computations (34.8% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01219
11619
22119
32319
42419
52419

end160.0ms (0.9%)

Compiler

Compiled 200 to 123 computations (38.5% saved)

Profiling

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