Details

Time bar (total: 15.2s)

analyze348.0ms (2.3%)

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
9.4%65.5%25.1%6
14%60.8%25.1%7
19.5%49.1%31.4%8
24.6%37.8%37.6%9
28.7%33.7%37.6%10
33.3%26%40.7%11
36.2%19.9%43.8%12
38.6%17.6%43.8%13
41.3%13.3%45.4%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample239.0ms (1.6%)

Algorithm
intervals
Results
14.0ms256×body128valid
1.0ms18×body128nan
0.0msbody128invalid
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify207.0ms (1.4%)

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
13.9b
Counts
2 → 1
Alt Table
StatusErrorProgram
13.9b
(-.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)))
13.5b
(log.f64 (/.f64 x y))

series1.1s (6.9%)

Counts
3 → 84
Calls

3 calls:

400.0ms
(*.f64 x (log.f64 (/.f64 x y)))
378.0ms
(log.f64 (/.f64 x y))
279.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)

rewrite22.0ms (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))

simplify154.0ms (1%)

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

prune153.0ms (1%)

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
0.2b
(-.f64 (+.f64 (*.f64 x (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) (*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) z)
32.5b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (*.f64 (log.f64 (neg.f64 x)) x)) z)
4.0b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) x) (*.f64 (log.f64 (/.f64 x (cbrt.f64 y))) x)) z)
34.0b
(-.f64 (+.f64 (*.f64 x (log.f64 (sqrt.f64 x))) (*.f64 x (log.f64 (/.f64 (sqrt.f64 x) y)))) z)
3.7b
(-.f64 (*.f64 x (+.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (log.f64 (/.f64 (cbrt.f64 x) y)))) z)
32.2b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (sqrt.f64 y))) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) x)) z)
13.9b
(+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) x) (-.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) x) z))
29.6b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (log.f64 (/.f64 x y)) (log.f64 (/.f64 x y))) (log.f64 (/.f64 x y))))) z)
Compiler

Compiled 3170 to 1003 computations (68.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series2.1s (13.6%)

Counts
4 → 72
Calls

4 calls:

1.6s
(+.f64 (*.f64 x (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) (*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))))
397.0ms
(/.f64 (cbrt.f64 x) (cbrt.f64 y))
30.0ms
(cbrt.f64 x)
29.0ms
(cbrt.f64 y)

rewrite103.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
264×cbrt-prod_binary64
252×times-frac_binary64
240×log-prod_binary64
200×distribute-lft-in_binary64
200×distribute-rgt-in_binary64
Counts
4 → 343
Calls

4 calls:

24.0ms
(+.f64 (*.f64 x (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) (*.f64 x (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)

simplify285.0ms (1.9%)

Algorithm
egg-herbie
Rules
573×fma-def_binary64
374×associate-*l*_binary64
277×associate-*r*_binary64
272×*-commutative_binary64
220×fma-neg_binary64
Counts
415 → 616
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05059696
19188956
231598662
348138662
450058662

prune715.0ms (4.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New7422744
Fresh167
Picked101
Done000
Total7448752
Error
0b
Counts
752 → 8
Alt Table
StatusErrorProgram
32.5b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (*.f64 (log.f64 (neg.f64 x)) x)) z)
0.2b
(-.f64 (fma.f64 x (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) z)
29.6b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (log.f64 (/.f64 x y)) (log.f64 (/.f64 x y))) (log.f64 (/.f64 x y))))) z)
32.5b
(-.f64 (+.f64 (*.f64 x (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (*.f64 (pow.f64 (*.f64 -1 y) 1/3) (cbrt.f64 -1)))))) (*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) z)
34.0b
(-.f64 (+.f64 (*.f64 x (log.f64 (sqrt.f64 x))) (*.f64 x (log.f64 (/.f64 (sqrt.f64 x) y)))) z)
3.7b
(-.f64 (*.f64 x (+.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (log.f64 (/.f64 (cbrt.f64 x) y)))) z)
32.2b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (sqrt.f64 y))) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) x)) z)
13.9b
(+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) x) (-.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) x) z))
Compiler

Compiled 23808 to 7688 computations (67.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 x (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))))
0.3b
(/.f64 (cbrt.f64 x) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 x)

series3.2s (21.1%)

Counts
1 → 24
Calls

1 calls:

3.2s
(fma.f64 x (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))))

rewrite1.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 x (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))))

simplify111.0ms (0.7%)

Algorithm
egg-herbie
Rules
634×fma-neg_binary64
383×associate-*l*_binary64
364×associate-*r*_binary64
328×distribute-rgt-in_binary64
303×distribute-lft-in_binary64
Counts
34 → 25
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
059812
1122637
2232587
3753547
42839523
54373491
64815491
74933491
84944491

prune262.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2792281
Fresh257
Picked011
Done000
Total2818289
Error
0b
Counts
289 → 8
Alt Table
StatusErrorProgram
32.5b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (*.f64 (log.f64 (neg.f64 x)) x)) z)
0.2b
(-.f64 (fma.f64 x (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) z)
34.0b
(-.f64 (+.f64 (*.f64 x (log.f64 (sqrt.f64 x))) (*.f64 x (log.f64 (/.f64 (sqrt.f64 x) y)))) z)
3.7b
(-.f64 (*.f64 x (+.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (log.f64 (/.f64 (cbrt.f64 x) y)))) z)
32.2b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (sqrt.f64 y))) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) x)) z)
32.5b
(-.f64 (fma.f64 x (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (*.f64 (pow.f64 (*.f64 -1 y) 1/3) (cbrt.f64 -1)))))) z)
22.3b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) 3)) z)
13.9b
(+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) x) (-.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) x) z))
Compiler

Compiled 7795 to 2609 computations (66.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series3.9s (25.7%)

Counts
3 → 60
Calls

3 calls:

2.6s
(+.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (log.f64 (/.f64 (cbrt.f64 x) y)))
1.3s
(log.f64 (/.f64 (cbrt.f64 x) y))
37.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))

rewrite27.0ms (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 → 129
Calls

3 calls:

9.0ms
(+.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (log.f64 (/.f64 (cbrt.f64 x) y)))
4.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
2.0ms
(log.f64 (/.f64 (cbrt.f64 x) y))

simplify130.0ms (0.9%)

Algorithm
egg-herbie
Rules
851×fma-neg_binary64
632×fma-def_binary64
420×distribute-rgt-in_binary64
371×distribute-lft-in_binary64
254×log-prod_binary64
Counts
189 → 207
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02072785
14122414
215002178
339152120
447542120
550762120

prune422.0ms (2.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2610261
Fresh066
Picked011
Done011
Total2618269
Error
0b
Counts
269 → 8
Alt Table
StatusErrorProgram
32.5b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) x) (*.f64 (log.f64 (neg.f64 x)) x)) z)
0.2b
(-.f64 (fma.f64 x (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) z)
34.0b
(-.f64 (+.f64 (*.f64 x (log.f64 (sqrt.f64 x))) (*.f64 x (log.f64 (/.f64 (sqrt.f64 x) y)))) z)
3.7b
(-.f64 (*.f64 x (+.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) 1)) (log.f64 (/.f64 (cbrt.f64 x) y)))) z)
32.2b
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (sqrt.f64 y))) x) (*.f64 (log.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) x)) z)
32.5b
(-.f64 (fma.f64 x (*.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (*.f64 (pow.f64 (*.f64 -1 y) 1/3) (cbrt.f64 -1)))))) z)
22.3b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) 3)) z)
13.9b
(+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) x) (-.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) x) z))
Compiler

Compiled 6325 to 2575 computations (59.3% saved)

regimes853.0ms (5.6%)

Accuracy

Total 0.1b remaining (87.3%)

Threshold costs 0.1b (87.3%)

Counts
158 → 1
Compiler

Compiled 14509 to 9535 computations (34.3% 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
01332
11732
22232
32432
42532
52532

end1.0ms (0%)

Compiler

Compiled 23 to 12 computations (47.8% saved)

sample893.0ms (5.9%)

Algorithm
intervals
Results
442.0ms8000×body128valid
30.0ms687×body128nan
2.0ms39×body128invalid
Compiler

Compiled 209 to 129 computations (38.3% saved)

Profiling

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