Details

Time bar (total: 4.3s)

analyze110.0ms (2.6%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
156
011
111
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)

sample13.0ms (0.3%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify7.0ms (0.2%)

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
Error
0.3b
Counts
2 → 1
Compiler

Compiled 8 to 6 computations (25% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b
(*.f64 x (log.f64 x))

rewrite30.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
7×add-sqr-sqrt_binary64_441
6×log-prod_binary64_505
5×add-cube-cbrt_binary64_454 *-un-lft-identity_binary64_419
4×pow1_binary64_480 associate-*r*_binary64_359
3×add-exp-log_binary64_457 add-cbrt-cube_binary64_455 distribute-rgt-in_binary64_369 distribute-lft-in_binary64_368 associate-*l*_binary64_360
1×pow-prod-down_binary64_490 prod-exp_binary64_468 add-log-exp_binary64_458 cbrt-unprod_binary64_452 unswap-sqr_binary64_387 log-pow_binary64_508 *-commutative_binary64_350
Counts
1 → 25
Calls

1 calls:

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

Compiled 239 to 76 computations (68.2% saved)

series73.0ms (1.7%)

Error
0.3b
Counts
1 → 3
Calls

1 calls:

71.0ms
(*.f64 x (log.f64 x))
Compiler

Compiled 63 to 52 computations (17.5% saved)

simplify91.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
04864265
14864265

prune26.0ms (0.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New19928
Fresh000
Picked011
Done000
Total191029
Error
0.0b
Counts
29 → 10
Compiler

Compiled 328 to 117 computations (64.3% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
0.4b
(+.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)

rewrite89.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
12×cbrt-prod_binary64_450 log-prod_binary64_505 associate-+r+_binary64_351
11×add-cube-cbrt_binary64_454 add-sqr-sqrt_binary64_441 *-un-lft-identity_binary64_419
9×pow1_binary64_480 add-exp-log_binary64_457 add-cbrt-cube_binary64_455
6×add-log-exp_binary64_458 distribute-rgt-in_binary64_369 distribute-lft-in_binary64_368
3×pow-prod-down_binary64_490 prod-exp_binary64_468 cbrt-unprod_binary64_452 associate-*l*_binary64_360
2×pow1/3_binary64_501
1×sum-log_binary64_510 flip3-+_binary64_422 flip-+_binary64_393 distribute-lft-out_binary64_370 +-commutative_binary64_349 associate-*r*_binary64_359 *-commutative_binary64_350
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))))
5.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
2.0ms
(cbrt.f64 x)
2.0ms
(cbrt.f64 x)
Compiler

Compiled 1295 to 495 computations (61.8% saved)

series560.0ms (13%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

193.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
181.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
90.0ms
(cbrt.f64 x)
80.0ms
(cbrt.f64 x)
Compiler

Compiled 522 to 400 computations (23.4% saved)

simplify100.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
04912752
14912752

prune66.0ms (1.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New71576
Fresh628
Picked011
Done011
Total77986
Error
0.0b
Counts
86 → 9
Compiler

Compiled 1234 to 525 computations (57.5% saved)

localize25.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

rewrite63.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
18×cbrt-prod_binary64_450
9×add-cube-cbrt_binary64_454 add-sqr-sqrt_binary64_441 *-un-lft-identity_binary64_419
4×pow1/3_binary64_501 pow1_binary64_480 add-log-exp_binary64_458 add-exp-log_binary64_457 add-cbrt-cube_binary64_455
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)
Compiler

Compiled 1104 to 366 computations (66.8% saved)

series404.0ms (9.4%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

120.0ms
(cbrt.f64 x)
102.0ms
(cbrt.f64 x)
94.0ms
(cbrt.f64 (cbrt.f64 x))
76.0ms
(cbrt.f64 x)
Compiler

Compiled 777 to 517 computations (33.5% saved)

simplify90.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04718376
14718376

prune78.0ms (1.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New59059
Fresh066
Picked011
Done022
Total59968
Error
0.0b
Counts
68 → 9
Compiler

Compiled 1384 to 530 computations (61.7% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 x (log.f64 (cbrt.f64 x)))
0.4b
(+.f64 (*.f64 x (*.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
0.6b
(cbrt.f64 x)
5.0b
(pow.f64 x 1/3)

rewrite120.0ms (2.8%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
24×log-prod_binary64_505
19×add-sqr-sqrt_binary64_441
17×add-cube-cbrt_binary64_454 *-un-lft-identity_binary64_419
15×cbrt-prod_binary64_450
12×distribute-rgt-in_binary64_369 associate-+r+_binary64_351 distribute-lft-in_binary64_368
8×pow1_binary64_480
7×add-exp-log_binary64_457
6×add-log-exp_binary64_458 add-cbrt-cube_binary64_455
5×associate-*r*_binary64_359
3×unpow-prod-down_binary64_498 pow-unpow_binary64_496 associate-*l*_binary64_360
2×pow1/3_binary64_501 log-pow_binary64_508
1×pow-pow_binary64_491 pow-to-exp_binary64_488 pow-exp_binary64_487 unpow1/3_binary64_486 sqr-pow_binary64_391 sum-log_binary64_510 flip3-+_binary64_422 flip-+_binary64_393 distribute-lft-out_binary64_370 +-commutative_binary64_349 pow-prod-down_binary64_490 prod-exp_binary64_468 cbrt-unprod_binary64_452 unswap-sqr_binary64_387 *-commutative_binary64_350
Counts
4 → 85
Calls

4 calls:

10.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
5.0ms
(*.f64 x (log.f64 (cbrt.f64 x)))
2.0ms
(pow.f64 x 1/3)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1791 to 924 computations (48.4% saved)

series647.0ms (15%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

258.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
187.0ms
(*.f64 x (log.f64 (cbrt.f64 x)))
107.0ms
(cbrt.f64 x)
84.0ms
(pow.f64 x 1/3)
Compiler

Compiled 582 to 472 computations (18.9% saved)

simplify98.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
04939971
14939971

prune92.0ms (2.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New95297
Fresh145
Picked101
Done033
Total979106
Error
0b
Counts
106 → 9
Compiler

Compiled 1583 to 747 computations (52.8% saved)

regimes174.0ms (4%)

Accuracy

Total 0.3b remaining (99.6%)

Threshold costs 0.3b (99.6%)

Compiler

Compiled 1384 to 860 computations (37.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
156

end0.0ms (0%)

sample1.3s (30.6%)

Algorithm
1×intervals
Results
275.0ms8000×body128valid
0.0ms1×body128invalid
Compiler

Compiled 696 to 434 computations (37.6% saved)

Profiling

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