Details

Time bar (total: 5.7s)

analyze522.0ms (9.2%)

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%99.9%0.1%5
0%99.9%0.1%6
23.4%51.5%25.1%7
24.2%50.7%25.1%8
24.6%50.3%25.1%9
36.9%25.5%37.6%10
37.2%25.3%37.6%11
37.3%25.1%37.6%12
43.5%12.7%43.8%13
43.6%12.6%43.8%14
Compiler

Compiled 32 to 21 computations (34.4% saved)

sample42.0ms (0.7%)

Algorithm
intervals
Results
29.0ms256×body128valid
2.0ms21×body128nan
Compiler

Compiled 66 to 44 computations (33.3% saved)

simplify131.0ms (2.3%)

Algorithm
egg-herbie
Rules
662×cube-prod_binary64
603×distribute-rgt-in_binary64
522×pow-sqr_binary64
453×associate-/l*_binary64
447×sqr-pow_binary64
Counts
1 → 1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01922
13119
24912
3709
4789
51979
64529
78679
810259
916079
1018989
1129229
1239789
1342559
1443329
1549019
1648259

prune6.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.2b
Counts
2 → 2
Alt Table
StatusErrorProgram
0.3b
(/.f64 (atan2.f64 im re) (log.f64 base))
29.3b
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
Compiler

Compiled 89 to 58 computations (34.8% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b
(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite30.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×times-frac_binary64
10×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
pow1_binary64
log-pow_binary64 associate-/r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
Counts
1 → 31
Calls

1 calls:

3.0ms
(/.f64 (atan2.f64 im re) (log.f64 base))
Compiler

Compiled 370 to 88 computations (76.2% saved)

series44.0ms (0.8%)

Error
0.2b
Counts
1 → 9
Calls

1 calls:

42.0ms
(/.f64 (atan2.f64 im re) (log.f64 base))
Compiler

Compiled 210 to 145 computations (31% saved)

simplify97.0ms (1.7%)

Algorithm
egg-herbie
Rules
649×neg-mul-1_binary64
637×sub-neg_binary64
613×neg-sub0_binary64
350×distribute-neg-in_binary64
336×div-sub_binary64
Counts
40 → 13
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063610
1106572
2211572
3380572
41292572
52872572
63635572
74521572
84919572

prune10.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New11213
Fresh011
Picked011
Done000
Total11415
Error
0.2b
Counts
15 → 4
Alt Table
StatusErrorProgram
34.8b
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
0.3b
(/.f64 (atan2.f64 im re) (log.f64 base))
29.3b
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
7.1b
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
Compiler

Compiled 188 to 100 computations (46.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b
(/.f64 (atan2.f64 im re) (log.f64 base))
0.6b
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
7.0b
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

rewrite99.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
60×times-frac_binary64
46×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
38×cbrt-prod_binary64
32×unpow-prod-down_binary64 cube-prod_binary64
20×pow1_binary64
Counts
3 → 131
Calls

3 calls:

6.0ms
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
5.0ms
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
3.0ms
(/.f64 (atan2.f64 im re) (log.f64 base))
Compiler

Compiled 1554 to 557 computations (64.2% saved)

series163.0ms (2.9%)

Error
0.2b
Counts
3 → 27
Calls

3 calls:

66.0ms
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
44.0ms
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
44.0ms
(/.f64 (atan2.f64 im re) (log.f64 base))
Compiler

Compiled 792 to 592 computations (25.3% saved)

simplify124.0ms (2.2%)

Algorithm
egg-herbie
Rules
691×associate-/l*_binary64
620×log-div_binary64
473×associate-/r*_binary64
326×unswap-sqr_binary64
278×associate-/l/_binary64
Counts
158 → 112
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01452838
13292589
210742543
343982543
453012543

prune49.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1039112
Fresh022
Picked101
Done011
Total10412116
Error
0.1b
Counts
116 → 12
Alt Table
StatusErrorProgram
7.7b
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))
5.9b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
34.8b
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
0.3b
(/.f64 (atan2.f64 im re) (log.f64 base))
33.8b
(cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))
0.9b
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
7.1b
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (/.f64 1 (pow.f64 (log.f64 base) 3))))
48.4b
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
7.1b
(cbrt.f64 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (pow.f64 (atan2.f64 im re) 3) (log.f64 base))))
29.3b
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
6.3b
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 6)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))
7.2b
(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) 3))
Compiler

Compiled 998 to 474 computations (52.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
0.5b
(cbrt.f64 (log.f64 base))
0.5b
(*.f64 (log.f64 base) (log.f64 base))
0.7b
(cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))))

rewrite151.0ms (2.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
61×add-sqr-sqrt_binary64
43×cbrt-prod_binary64
41×times-frac_binary64
35×*-un-lft-identity_binary64
30×add-cube-cbrt_binary64
Counts
4 → 127
Calls

4 calls:

14.0ms
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
5.0ms
(*.f64 (log.f64 base) (log.f64 base))
4.0ms
(cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))))
1.0ms
(cbrt.f64 (log.f64 base))
Compiler

Compiled 2801 to 892 computations (68.2% saved)

series131.0ms (2.3%)

Error
0.1b
Counts
4 → 18
Calls

4 calls:

46.0ms
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
33.0ms
(cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base))))
25.0ms
(cbrt.f64 (log.f64 base))
17.0ms
(*.f64 (log.f64 base) (log.f64 base))
Compiler

Compiled 765 to 535 computations (30.1% saved)

simplify147.0ms (2.6%)

Algorithm
egg-herbie
Rules
571×associate-/l*_binary64
420×associate-/r*_binary64
409×associate-*l/_binary64
325×associate-*r/_binary64
265×log-div_binary64
Counts
145 → 115
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01742920
13532650
213692596
342442592
448872592
549192592

prune100.0ms (1.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1069115
Fresh6410
Picked101
Done011
Total11314127
Error
0b
Counts
127 → 14
Alt Table
StatusErrorProgram
0.8b
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (cbrt.f64 (*.f64 (log.f64 base) (log.f64 base))))
30.8b
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))) (sqrt.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))
0.3b
(/.f64 (atan2.f64 im re) (log.f64 base))
31.4b
(exp.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))
7.1b
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (/.f64 1 (pow.f64 (log.f64 base) 3))))
48.4b
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
0.8b
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
29.3b
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
1.3b
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))) (cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))
0.9b
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 2))) (atan2.f64 im re)) (/.f64 1 (cbrt.f64 (log.f64 base))))
30.1b
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) 1/6) (pow.f64 (log.f64 base) 1/6))))
1.0b
(*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1/6)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
7.2b
(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) 3))
1.3b
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (log.f64 base))))) (/.f64 (atan2.f64 im re) (cbrt.f64 (cbrt.f64 (log.f64 base)))))
Compiler

Compiled 2369 to 1159 computations (51.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
0.5b
(cbrt.f64 (log.f64 base))
0.5b
(cbrt.f64 (*.f64 (log.f64 base) (log.f64 base)))
0.5b
(*.f64 (log.f64 base) (log.f64 base))

rewrite93.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
29×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
27×add-cube-cbrt_binary64
22×pow1_binary64
21×cbrt-prod_binary64 times-frac_binary64
11×log-pow_binary64
Counts
4 → 100
Calls

4 calls:

5.0ms
(*.f64 (log.f64 base) (log.f64 base))
4.0ms
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
2.0ms
(cbrt.f64 (*.f64 (log.f64 base) (log.f64 base)))
1.0ms
(cbrt.f64 (log.f64 base))
Compiler

Compiled 1796 to 357 computations (80.1% saved)

series167.0ms (2.9%)

Error
0b
Counts
4 → 18
Calls

4 calls:

85.0ms
(/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))
28.0ms
(cbrt.f64 (log.f64 base))
25.0ms
(cbrt.f64 (*.f64 (log.f64 base) (log.f64 base)))
16.0ms
(*.f64 (log.f64 base) (log.f64 base))
Compiler

Compiled 936 to 618 computations (34% saved)

simplify185.0ms (3.3%)

Algorithm
egg-herbie
Rules
697×times-frac_binary64
497×log-prod_binary64
444×exp-prod_binary64
303×distribute-rgt-in_binary64
276×distribute-lft-in_binary64
Counts
118 → 86
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01401641
12401486
27091469
317981436
436861418
544331418
647771418
749561418
848041418

prune52.0ms (0.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh01212
Picked011
Done011
Total8614100
Error
0b
Counts
100 → 14
Alt Table
StatusErrorProgram
0.8b
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) (cbrt.f64 (*.f64 (log.f64 base) (log.f64 base))))
30.8b
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))) (sqrt.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))
0.3b
(/.f64 (atan2.f64 im re) (log.f64 base))
31.4b
(exp.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))
7.1b
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (/.f64 1 (pow.f64 (log.f64 base) 3))))
48.4b
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
0.8b
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
29.3b
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
1.3b
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))) (cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))))
0.9b
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 2))) (atan2.f64 im re)) (/.f64 1 (cbrt.f64 (log.f64 base))))
30.1b
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) 1/6) (pow.f64 (log.f64 base) 1/6))))
1.0b
(*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1/6)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
7.2b
(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) 3))
1.3b
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (log.f64 base))))) (/.f64 (atan2.f64 im re) (cbrt.f64 (cbrt.f64 (log.f64 base)))))
Compiler

Compiled 1044 to 436 computations (58.2% saved)

regimes1.8s (31%)

Accuracy

Total 0.3b remaining (83%)

Threshold costs 0.3b (83%)

Compiler

Compiled 23066 to 14286 computations (38.1% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
1-exp_binary64 /-rgt-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
2109

end1.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.5s (26.9%)

Algorithm
intervals
Results
801.0ms8000×body128valid
88.0ms992×body128nan
Compiler

Compiled 366 to 242 computations (33.9% saved)

Profiling

Loading profile data...