Details

Time bar (total: 2.7s)

analyze209.0ms (7.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%50%50%2
25%25%50%3
25%12.5%62.5%4
25%6.2%68.8%5
25%3.1%71.9%6
25%1.6%73.5%7
25%0.8%74.2%8
25%0.4%74.6%9
25%0.2%74.8%10
25%0.1%74.9%11
25%0%75%12
25%0%75%13
25%0%75%14
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample16.0ms (0.6%)

Algorithm
intervals
Results
10.0ms256×body128valid
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify194.0ms (7.3%)

Algorithm
egg-herbie
Rules
5114×associate--r-_binary64
794×unsub-neg_binary64
347×distribute-neg-in_binary64
329×sub-neg_binary64
313×distribute-rgt-in_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0510
1710
21210
31810
42410
53910
66210
78010
814310
941510
10114010
11180010
12196110
13225610
14236510
15240010
16240710
17242310
18242910
19243110
20243110
21243110
22243110
23496510

prune7.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.3b
Counts
1 → 1
Alt Table
StatusErrorProgram
0.3b
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 14 to 8 computations (42.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(log.f64 (log.f64 x))
0.3b
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

rewrite26.0ms (1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
11×log-prod_binary64
10×pow1_binary64 *-un-lft-identity_binary64
add-sqr-sqrt_binary64 log-pow_binary64
add-cube-cbrt_binary64
cancel-sign-sub-inv_binary64 distribute-lft-out--_binary64 associate--r+_binary64
Counts
2 → 40
Calls

2 calls:

6.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
1.0ms
(log.f64 (log.f64 x))
Compiler

Compiled 402 to 108 computations (73.1% saved)

series53.0ms (2%)

Error
0.3b
Counts
2 → 6
Calls

2 calls:

27.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
22.0ms
(log.f64 (log.f64 x))
Compiler

Compiled 190 to 149 computations (21.6% saved)

simplify102.0ms (3.8%)

Algorithm
egg-herbie
Rules
823×div-sub_binary64
540×unsub-neg_binary64
476×sub-neg_binary64
291×associate-+l+_binary64
273×exp-diff_binary64
Counts
46 → 19
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
070540
1146496
2267496
31141494
42781490
54063484
64882484
74866484

prune21.0ms (0.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New13619
Fresh000
Picked101
Done000
Total14620
Error
0.1b
Counts
20 → 6
Alt Table
StatusErrorProgram
0.6b
(cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 3))
0.4b
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 4)) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))
0.5b
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))))
0.3b
(-.f64 (log.f64 x) (+.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2) (log.f64 (cbrt.f64 (log.f64 x)))))
0.3b
(-.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2)) (log.f64 (cbrt.f64 (log.f64 x))))
0.3b
(-.f64 (log.f64 x) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x)))))
Compiler

Compiled 325 to 160 computations (50.8% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b
(-.f64 (log.f64 x) (+.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2) (log.f64 (cbrt.f64 (log.f64 x)))))
0.3b
(+.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2) (log.f64 (cbrt.f64 (log.f64 x))))
0.5b
(cbrt.f64 (log.f64 x))
0.5b
(cbrt.f64 (log.f64 x))

rewrite101.0ms (3.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
13×*-un-lft-identity_binary64
12×cbrt-prod_binary64 add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64 log-prod_binary64
pow1_binary64
add-log-exp_binary64 associate-+r+_binary64
Counts
4 → 64
Calls

4 calls:

8.0ms
(-.f64 (log.f64 x) (+.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2) (log.f64 (cbrt.f64 (log.f64 x)))))
7.0ms
(+.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2) (log.f64 (cbrt.f64 (log.f64 x))))
1.0ms
(cbrt.f64 (log.f64 x))
1.0ms
(cbrt.f64 (log.f64 x))
Compiler

Compiled 1369 to 476 computations (65.2% saved)

series140.0ms (5.3%)

Error
0.1b
Counts
4 → 12
Calls

4 calls:

42.0ms
(-.f64 (log.f64 x) (+.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2) (log.f64 (cbrt.f64 (log.f64 x)))))
33.0ms
(+.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2) (log.f64 (cbrt.f64 (log.f64 x))))
26.0ms
(cbrt.f64 (log.f64 x))
25.0ms
(cbrt.f64 (log.f64 x))
Compiler

Compiled 594 to 459 computations (22.7% saved)

simplify92.0ms (3.5%)

Algorithm
egg-herbie
Rules
669×associate-*l*_binary64
559×associate-*r*_binary64
317×times-frac_binary64
240×distribute-rgt-in_binary64
223×distribute-lft-in_binary64
Counts
76 → 53
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01111449
1291966
2733799
33701795
45008795

prune54.0ms (2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New49453
Fresh145
Picked101
Done000
Total51859
Error
0.0b
Counts
59 → 8
Alt Table
StatusErrorProgram
0.6b
(cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 3))
0.4b
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 4)) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))
0.6b
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))))
0.2b
(+.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (-.f64 (log.f64 (cbrt.f64 x)) (log.f64 (log.f64 x))))
0.3b
(-.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2)) (log.f64 (cbrt.f64 (log.f64 x))))
0.3b
(-.f64 (log.f64 x) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x)))))
1.1b
(exp.f64 (log.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x)))))
0.3b
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (log.f64 x))))
Compiler

Compiled 709 to 293 computations (58.7% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite96.0ms (3.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×add-cube-cbrt_binary64 *-un-lft-identity_binary64
11×pow1_binary64
pow1/3_binary64
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1284 to 300 computations (76.6% saved)

series80.0ms (3%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

19.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
19.0ms
(cbrt.f64 x)
17.0ms
(cbrt.f64 x)
16.0ms
(cbrt.f64 x)
Compiler

Compiled 557 to 380 computations (31.8% saved)

simplify113.0ms (4.3%)

Algorithm
egg-herbie
Rules
850×log-prod_binary64
525×unswap-sqr_binary64
346×sqr-pow_binary64
307×distribute-rgt-neg-in_binary64
298×associate-*l*_binary64
Counts
85 → 60
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056642
197594
2309574
3800560
41864436
52894436
64605436
74971436

prune46.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New59160
Fresh167
Picked011
Done000
Total60868
Error
0b
Counts
68 → 8
Alt Table
StatusErrorProgram
0.6b
(cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 3))
0.4b
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 4)) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))
0.6b
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))))
0.2b
(+.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (-.f64 (log.f64 (cbrt.f64 x)) (log.f64 (log.f64 x))))
0.3b
(-.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2)) (log.f64 (cbrt.f64 (log.f64 x))))
0.3b
(-.f64 (log.f64 x) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x)))))
1.1b
(exp.f64 (log.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x)))))
0.3b
(+.f64 (log.f64 (pow.f64 x 2/3)) (-.f64 (log.f64 (cbrt.f64 x)) (log.f64 (log.f64 x))))
Compiler

Compiled 683 to 301 computations (55.9% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(-.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2)) (log.f64 (cbrt.f64 (log.f64 x))))
0.3b
(-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2))
0.5b
(cbrt.f64 (log.f64 x))
0.5b
(cbrt.f64 (log.f64 x))

rewrite92.0ms (3.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
14×*-un-lft-identity_binary64
13×add-sqr-sqrt_binary64 log-prod_binary64
12×cbrt-prod_binary64
11×add-cube-cbrt_binary64 associate--l+_binary64
pow1_binary64
Counts
4 → 72
Calls

4 calls:

9.0ms
(-.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2)) (log.f64 (cbrt.f64 (log.f64 x))))
4.0ms
(-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2))
1.0ms
(cbrt.f64 (log.f64 x))
1.0ms
(cbrt.f64 (log.f64 x))
Compiler

Compiled 1448 to 503 computations (65.3% saved)

series152.0ms (5.7%)

Error
0b
Counts
4 → 12
Calls

4 calls:

44.0ms
(-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2))
42.0ms
(-.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2)) (log.f64 (cbrt.f64 (log.f64 x))))
27.0ms
(cbrt.f64 (log.f64 x))
25.0ms
(cbrt.f64 (log.f64 x))
Compiler

Compiled 676 to 519 computations (23.2% saved)

simplify102.0ms (3.8%)

Algorithm
egg-herbie
Rules
661×associate-*l*_binary64
549×associate-*r*_binary64
229×cancel-sign-sub-inv_binary64
219×exp-prod_binary64
204×distribute-rgt-in_binary64
Counts
84 → 62
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01321547
13301204
28291105
342601103
449831103

prune39.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New61162
Fresh246
Picked101
Done011
Total64670
Error
0b
Counts
70 → 6
Alt Table
StatusErrorProgram
0.6b
(cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))) 3))
0.2b
(+.f64 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (-.f64 (log.f64 (cbrt.f64 x)) (log.f64 (log.f64 x))))
0.3b
(-.f64 (log.f64 x) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x)))))
1.1b
(exp.f64 (log.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x)))))
0.2b
(-.f64 (log.f64 (/.f64 x (pow.f64 (log.f64 x) 2/3))) (log.f64 (cbrt.f64 (log.f64 x))))
0.3b
(+.f64 (log.f64 (pow.f64 x 2/3)) (-.f64 (log.f64 (cbrt.f64 x)) (log.f64 (log.f64 x))))
Compiler

Compiled 746 to 300 computations (59.8% saved)

regimes249.0ms (9.4%)

Accuracy

Total -0.0b remaining (-321.4%)

Threshold costs -0.0b (-321.4%)

Compiler

Compiled 2825 to 1654 computations (41.5% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
158

end1.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample628.0ms (23.7%)

Algorithm
intervals
Results
316.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 90 to 59 computations (34.4% saved)

Profiling

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