Details

Time bar (total: 3.7s)

analyze105.0ms (2.8%)

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)

sample14.0ms (0.4%)

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 (0.1%)

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))

rewrite23.0ms (0.6%)

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)

series86.0ms (2.3%)

Error
0.3b
Counts
1 → 3
Calls

1 calls:

83.0ms
(*.f64 x (log.f64 x))
Compiler

Compiled 63 to 52 computations (17.5% saved)

simplify76.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04864265
14864265

prune23.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New23528
Fresh000
Picked011
Done000
Total23629
Error
0.0b
Counts
29 → 6
Compiler

Compiled 276 to 94 computations (65.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(*.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)

rewrite80.0ms (2.2%)

Algorithm
1×rewrite-expression-head
Error
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))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1295 to 495 computations (61.8% saved)

series498.0ms (13.4%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

165.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
163.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
84.0ms
(cbrt.f64 x)
76.0ms
(cbrt.f64 x)
Compiler

Compiled 522 to 400 computations (23.4% saved)

simplify78.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04912752
14912752

prune64.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New73376
Fresh314
Picked101
Done011
Total77582
Error
0.0b
Counts
82 → 5
Compiler

Compiled 1189 to 493 computations (58.5% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b
(*.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))))
0.6b
(cbrt.f64 x)
5.1b
(pow.f64 x 1/3)

rewrite130.0ms (3.5%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
28×log-prod_binary64_505
19×add-sqr-sqrt_binary64_441
17×add-cube-cbrt_binary64_454 *-un-lft-identity_binary64_419
15×unpow-prod-down_binary64_498
14×distribute-rgt-in_binary64_369 associate-+r+_binary64_351 distribute-lft-in_binary64_368
7×pow1_binary64_480 add-exp-log_binary64_457
6×add-log-exp_binary64_458 add-cbrt-cube_binary64_455
5×sqr-pow_binary64_391
4×associate-*r*_binary64_359
3×pow-unpow_binary64_496 cbrt-prod_binary64_450 associate-*l*_binary64_360
1×pow-pow_binary64_491 pow-to-exp_binary64_488 pow-exp_binary64_487 unpow1/3_binary64_486 pow1/3_binary64_501 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 log-pow_binary64_508 *-commutative_binary64_350
Counts
4 → 88
Calls

4 calls:

8.0ms
(+.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)
Compiler

Compiled 1909 to 1185 computations (37.9% saved)

series541.0ms (14.6%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

223.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (pow.f64 x 1/3))))
157.0ms
(*.f64 x (log.f64 (pow.f64 x 1/3)))
77.0ms
(pow.f64 x 1/3)
73.0ms
(cbrt.f64 x)
Compiler

Compiled 579 to 465 computations (19.7% saved)

simplify89.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
05056953

prune91.0ms (2.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh123
Picked011
Done011
Total1005105
Error
0b
Counts
105 → 5
Compiler

Compiled 1631 to 812 computations (50.2% saved)

localize14.0ms (0.4%)

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)

rewrite53.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Error
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)

series341.0ms (9.2%)

Error
0b
Counts
4 → 12
Calls

4 calls:

97.0ms
(cbrt.f64 (cbrt.f64 x))
85.0ms
(cbrt.f64 x)
78.0ms
(cbrt.f64 x)
70.0ms
(cbrt.f64 x)
Compiler

Compiled 777 to 517 computations (33.5% saved)

simplify80.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04718376
14718376

prune54.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New59059
Fresh022
Picked011
Done022
Total59564
Error
0b
Counts
64 → 5
Compiler

Compiled 1299 to 470 computations (63.8% saved)

regimes153.0ms (4.1%)

Accuracy

Total 0.3b remaining (99.5%)

Threshold costs 0.3b (99.5%)

Compiler

Compiled 1374 to 880 computations (36% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01622
11622

end0.0ms (0%)

sample1.1s (29%)

Algorithm
1×intervals
Results
226.0ms8000×body128valid
Compiler

Compiled 670 to 436 computations (34.9% saved)

Profiling

Loading profile data...