Details

Time bar (total: 4.2s)

analyze4.0ms (0.1%)

Algorithm
1×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)

sample12.0ms (0.3%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify168.0ms (4.1%)

Algorithm
1×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)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
7×add-sqr-sqrt_binary64_435
6×log-prod_binary64_497
5×add-cube-cbrt_binary64_446 *-un-lft-identity_binary64_414
4×pow1_binary64_472 associate-*r*_binary64_356
3×distribute-lft-in_binary64_365 distribute-rgt-in_binary64_366 add-exp-log_binary64_449 add-cbrt-cube_binary64_447 associate-*l*_binary64_357
1×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))

series120.0ms (2.9%)

Counts
1 → 3
Calls

1 calls:

120.0ms
(*.f64 x (log.f64 x))

simplify100.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
04755255
14755255

prune25.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New21728
Fresh000
Picked011
Done000
Total21829

Merged error: 0.0b

Counts
29 → 8
Compiler

Compiled 298 to 101 computations (66.1% saved)

localize9.0ms (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))))
0.5b
(cbrt.f64 x)
0.5b
(cbrt.f64 x)

rewrite23.0ms (0.5%)

Algorithm
1×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
9×pow1_binary64_472 add-exp-log_binary64_449 add-cbrt-cube_binary64_447
6×distribute-lft-in_binary64_365 distribute-rgt-in_binary64_366 add-log-exp_binary64_450
3×prod-exp_binary64_460 pow-prod-down_binary64_482 associate-*l*_binary64_357 cbrt-unprod_binary64_444
2×pow1/3_binary64_493
1×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:

9.0ms
(+.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)

series941.0ms (22.6%)

Counts
4 → 12
Calls

4 calls:

322.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
316.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
152.0ms
(cbrt.f64 x)
149.0ms
(cbrt.f64 x)

simplify73.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04869752
14869752

prune65.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New73376
Fresh336
Picked101
Done011
Total77784

Merged error: 0.0b

Counts
84 → 7
Compiler

Compiled 1212 to 505 computations (58.3% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 x (log.f64 (pow.f64 x 1/3)))
0.3b
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (pow.f64 x 1/3))))
0.5b
(cbrt.f64 x)
5.0b
(pow.f64 x 1/3)

rewrite27.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
28×log-prod_binary64_497
19×add-sqr-sqrt_binary64_435
17×add-cube-cbrt_binary64_446 *-un-lft-identity_binary64_414
15×unpow-prod-down_binary64_490
14×distribute-lft-in_binary64_365 distribute-rgt-in_binary64_366 associate-+r+_binary64_348
7×pow1_binary64_472 add-exp-log_binary64_449
6×add-cbrt-cube_binary64_447 add-log-exp_binary64_450
5×sqr-pow_binary64_386
4×associate-*r*_binary64_356
3×pow-unpow_binary64_488 cbrt-prod_binary64_442 associate-*l*_binary64_357
1×unpow1/3_binary64_478 log-pow_binary64_500 flip3-+_binary64_417 *-commutative_binary64_347 +-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 pow1/3_binary64_493 unswap-sqr_binary64_382 cbrt-unprod_binary64_444 sum-log_binary64_502
Counts
4 → 88
Calls

4 calls:

10.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (pow.f64 x 1/3))))
6.0ms
(*.f64 x (log.f64 (pow.f64 x 1/3)))
2.0ms
(pow.f64 x 1/3)
1.0ms
(cbrt.f64 x)

series1.1s (25.7%)

Counts
4 → 12
Calls

4 calls:

443.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (pow.f64 x 1/3))))
321.0ms
(*.f64 x (log.f64 (pow.f64 x 1/3)))
161.0ms
(cbrt.f64 x)
143.0ms
(pow.f64 x 1/3)

simplify50.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
04977965
14977965

prune89.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New982100
Fresh145
Picked101
Done011
Total1007107

Merged error: 0b

Counts
107 → 7
Compiler

Compiled 1685 to 829 computations (50.8% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite10.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
24×cbrt-prod_binary64_442
10×add-cube-cbrt_binary64_446 *-un-lft-identity_binary64_414 add-sqr-sqrt_binary64_435
4×pow1_binary64_472 add-exp-log_binary64_449 add-cbrt-cube_binary64_447 add-log-exp_binary64_450 pow1/3_binary64_493
Counts
4 → 50
Calls

4 calls:

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

series707.0ms (17%)

Counts
4 → 12
Calls

4 calls:

209.0ms
(cbrt.f64 (cbrt.f64 x))
198.0ms
(cbrt.f64 (cbrt.f64 x))
157.0ms
(cbrt.f64 x)
143.0ms
(cbrt.f64 x)

simplify70.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04793466
14793466

prune58.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh055
Picked011
Done011
Total62769

Merged error: 0b

Counts
69 → 7
Compiler

Compiled 1392 to 517 computations (62.9% saved)

regimes31.0ms (0.7%)

Compiler

Compiled 200 to 130 computations (35% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
156

end0.0ms (0%)

sample460.0ms (11.1%)

Algorithm
1×intervals
Results
226.0ms8000×body128valid
0.0ms4×body128nan
0.0ms1×body128invalid
Compiler

Compiled 104 to 69 computations (33.7% saved)

Profiling

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