Details

Time bar (total: 1.5s)

analyze5.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 18 to 15 computations (16.7% saved)

sample16.0ms (1.1%)

Algorithm
intervals
Results
10.0ms256×body128valid
Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify204.0ms (13.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
048925
148925

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 34 to 28 computations (17.6% saved)

localize10.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
0.1b
(*.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)
15.0b
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))

rewrite24.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64_2509
13×*-un-lft-identity_binary64_2487 add-cube-cbrt_binary64_2522
times-frac_binary64_2493
add-exp-log_binary64_2525 add-cbrt-cube_binary64_2523
pow1_binary64_2548 add-log-exp_binary64_2526
flip-+_binary64_2461 flip3-+_binary64_2490
associate-/r*_binary64_2431 associate-/l*_binary64_2432 associate-*l*_binary64_2428 associate-*r*_binary64_2427
associate-*l/_binary64_2430 associate-/r/_binary64_2433 associate-/l/_binary64_2434
unswap-sqr_binary64_2455 *-commutative_binary64_2418 prod-exp_binary64_2536 frac-2neg_binary64_2498 clear-num_binary64_2486 div-inv_binary64_2484 +-commutative_binary64_2417 sum-log_binary64_2578 cbrt-unprod_binary64_2520 pow-prod-down_binary64_2558 div-exp_binary64_2538 cbrt-undiv_binary64_2521
Counts
3 → 62
Calls

3 calls:

7.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))
7.0ms
(*.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)
3.0ms
(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))

series164.0ms (10.7%)

Counts
3 → 9
Calls

3 calls:

80.0ms
(*.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)
42.0ms
(+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))
42.0ms
(/.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)) (+.f64 1 (*.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))

simplify61.0ms (4%)

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
053621508

prune110.0ms (7.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New70171
Fresh000
Picked011
Done000
Total70272

Merged error: 0b

Counts
72 → 2
Compiler

Compiled 1988 to 1577 computations (20.7% saved)

localize7.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1279775008709747813467536880175/633825300114114700748351602688)
0.0b
(-.f64 x (+.f64 162377988252285/70368744177664 (*.f64 x (+.f64 (*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1279775008709747813467536880175/633825300114114700748351602688))))
0.3b
(*.f64 x (+.f64 (*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1279775008709747813467536880175/633825300114114700748351602688))
0.3b
(*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496)

rewrite28.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64_2509
11×*-un-lft-identity_binary64_2487 add-log-exp_binary64_2526
add-cube-cbrt_binary64_2522
add-exp-log_binary64_2525 add-cbrt-cube_binary64_2523 pow1_binary64_2548
associate-*l*_binary64_2428 associate-*r*_binary64_2427
cancel-sign-sub-inv_binary64_2453
unswap-sqr_binary64_2455 *-commutative_binary64_2418 diff-log_binary64_2579 prod-exp_binary64_2536 flip-+_binary64_2461 flip3-+_binary64_2490 sum-log_binary64_2578 cbrt-unprod_binary64_2520 pow-prod-down_binary64_2558 associate-*r/_binary64_2429
distribute-rgt-in_binary64_2437 flip--_binary64_2462 sub-neg_binary64_2480 distribute-lft-in_binary64_2436 difference-of-squares_binary64_2456 +-commutative_binary64_2417 distribute-lft-out--_binary64_2439 associate--r+_binary64_2423 flip3--_binary64_2491
Counts
4 → 69
Calls

4 calls:

8.0ms
(*.f64 x (+.f64 (*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1279775008709747813467536880175/633825300114114700748351602688))
6.0ms
(-.f64 x (+.f64 162377988252285/70368744177664 (*.f64 x (+.f64 (*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1279775008709747813467536880175/633825300114114700748351602688))))
5.0ms
(+.f64 (*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1279775008709747813467536880175/633825300114114700748351602688)
4.0ms
(*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496)

series175.0ms (11.4%)

Counts
4 → 12
Calls

4 calls:

81.0ms
(*.f64 x (+.f64 (*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1279775008709747813467536880175/633825300114114700748351602688))
46.0ms
(+.f64 (*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1279775008709747813467536880175/633825300114114700748351602688)
25.0ms
(-.f64 x (+.f64 162377988252285/70368744177664 (*.f64 x (+.f64 (*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496) -1279775008709747813467536880175/633825300114114700748351602688))))
23.0ms
(*.f64 x 10848001841832438315400971766275290790594666485/5708990770823839524233143877797980545530986496)

simplify86.0ms (5.6%)

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
050251018

prune77.0ms (5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New81081
Fresh000
Picked011
Done011
Total81283

Merged error: 0b

Counts
83 → 2
Compiler

Compiled 1293 to 974 computations (24.7% saved)

regimes22.0ms (1.5%)

Compiler

Compiled 92 to 76 computations (17.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07025
17025

end0.0ms (0%)

sample534.0ms (34.9%)

Algorithm
intervals
Results
336.0ms8000×body128valid
Compiler

Compiled 63 to 53 computations (15.9% saved)

Profiling

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