Details

Time bar (total: 4.5s)

analyze4.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%50%25%3
37.5%25%37.5%4
43.7%12.5%43.8%5
46.9%6.2%46.9%6
48.4%3.1%48.5%7
49.2%1.6%49.2%8
49.6%0.8%49.6%9
49.6%0.4%50%10
49.7%0.2%50.1%11
49.7%0.1%50.2%12
49.7%0%50.2%13
49.7%0%50.2%14
Compiler

Compiled 5 to 4 computations (20% saved)

sample18.0ms (0.4%)

Algorithm
intervals
Results
13.0ms256×body128valid
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify160.0ms (3.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
056
156

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1
Compiler

Compiled 8 to 6 computations (25% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 x (log.f64 x))

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_435
log-prod_binary64_497
add-cube-cbrt_binary64_446 *-un-lft-identity_binary64_414
pow1_binary64_472 associate-*r*_binary64_356
distribute-lft-in_binary64_365 distribute-rgt-in_binary64_366 add-exp-log_binary64_449 add-cbrt-cube_binary64_447 associate-*l*_binary64_357
log-pow_binary64_500 *-commutative_binary64_347 prod-exp_binary64_460 pow-prod-down_binary64_482 add-log-exp_binary64_450 unswap-sqr_binary64_382 cbrt-unprod_binary64_444
Counts
1 → 25
Calls

1 calls:

5.0ms
(*.f64 x (log.f64 x))

series116.0ms (2.6%)

Counts
1 → 3
Calls

1 calls:

116.0ms
(*.f64 x (log.f64 x))

simplify99.0ms (2.2%)

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
04755255
14755255

prune22.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New22628
Fresh000
Picked011
Done000
Total22729

Merged error: 0.0b

Counts
29 → 7
Compiler

Compiled 290 to 97 computations (66.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
0.3b
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite22.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64_442 associate-+r+_binary64_348 log-prod_binary64_497
11×add-cube-cbrt_binary64_446 *-un-lft-identity_binary64_414 add-sqr-sqrt_binary64_435
pow1_binary64_472 add-exp-log_binary64_449 add-cbrt-cube_binary64_447
distribute-lft-in_binary64_365 distribute-rgt-in_binary64_366 add-log-exp_binary64_450
prod-exp_binary64_460 pow-prod-down_binary64_482 associate-*l*_binary64_357 cbrt-unprod_binary64_444
pow1/3_binary64_493
flip3-+_binary64_417 *-commutative_binary64_347 +-commutative_binary64_346 flip-+_binary64_388 associate-*r*_binary64_356 distribute-lft-out_binary64_367 sum-log_binary64_502
Counts
4 → 64
Calls

4 calls:

8.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
6.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series980.0ms (21.7%)

Counts
4 → 12
Calls

4 calls:

338.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
331.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
160.0ms
(cbrt.f64 x)
150.0ms
(cbrt.f64 x)

simplify68.0ms (1.5%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04869752
14869752

prune70.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New72476
Fresh505
Picked011
Done011
Total77683

Merged error: 0b

Counts
83 → 6
Compiler

Compiled 1200 to 498 computations (58.5% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite9.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod_binary64_442
add-cube-cbrt_binary64_446 *-un-lft-identity_binary64_414 add-sqr-sqrt_binary64_435
pow1_binary64_472 add-exp-log_binary64_449 add-cbrt-cube_binary64_447 add-log-exp_binary64_450 pow1/3_binary64_493
Counts
4 → 47
Calls

4 calls:

2.0ms
(cbrt.f64 (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series672.0ms (14.9%)

Counts
4 → 12
Calls

4 calls:

208.0ms
(cbrt.f64 (cbrt.f64 x))
171.0ms
(cbrt.f64 x)
148.0ms
(cbrt.f64 x)
144.0ms
(cbrt.f64 x)

simplify67.0ms (1.5%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04793391
14793391

prune60.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New59059
Fresh033
Picked011
Done022
Total59665

Merged error: 0b

Counts
65 → 6
Compiler

Compiled 1361 to 525 computations (61.4% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 x (log.f64 (cbrt.f64 x)))
0.3b
(+.f64 (*.f64 x (*.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
0.6b
(cbrt.f64 x)
5.1b
(pow.f64 x 1/3)

rewrite25.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
24×log-prod_binary64_497
19×add-sqr-sqrt_binary64_435
17×add-cube-cbrt_binary64_446 *-un-lft-identity_binary64_414
15×cbrt-prod_binary64_442
12×distribute-lft-in_binary64_365 distribute-rgt-in_binary64_366 associate-+r+_binary64_348
pow1_binary64_472
add-exp-log_binary64_449
add-cbrt-cube_binary64_447 add-log-exp_binary64_450
associate-*r*_binary64_356
pow-unpow_binary64_488 associate-*l*_binary64_357 unpow-prod-down_binary64_490
log-pow_binary64_500 pow1/3_binary64_493
unpow1/3_binary64_478 flip3-+_binary64_417 *-commutative_binary64_347 sqr-pow_binary64_386 +-commutative_binary64_346 pow-pow_binary64_483 prod-exp_binary64_460 pow-exp_binary64_479 pow-prod-down_binary64_482 pow-to-exp_binary64_480 flip-+_binary64_388 distribute-lft-out_binary64_367 unswap-sqr_binary64_382 cbrt-unprod_binary64_444 sum-log_binary64_502
Counts
4 → 85
Calls

4 calls:

8.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
6.0ms
(*.f64 x (log.f64 (cbrt.f64 x)))
2.0ms
(pow.f64 x 1/3)
1.0ms
(cbrt.f64 x)

series1.1s (23.9%)

Counts
4 → 12
Calls

4 calls:

445.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
316.0ms
(*.f64 x (log.f64 (cbrt.f64 x)))
160.0ms
(pow.f64 x 1/3)
155.0ms
(cbrt.f64 x)

simplify77.0ms (1.7%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04831949
14831949

prune77.0ms (1.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New97097
Fresh022
Picked011
Done033
Total976103

Merged error: 0b

Counts
103 → 6
Compiler

Compiled 1571 to 753 computations (52.1% saved)

regimes85.0ms (1.9%)

Compiler

Compiled 658 to 432 computations (34.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
156

end0.0ms (0%)

sample746.0ms (16.5%)

Algorithm
intervals
Results
240.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 333 to 220 computations (33.9% saved)

Profiling

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