Details

Time bar (total: 4.3s)

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)

sample13.0ms (0.3%)

Algorithm
1×intervals
Results
8.0ms256×body128valid
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify165.0ms (3.8%)

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: 0.3b

Counts
2 → 1
Compiler

Compiled 8 to 6 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
7×add-sqr-sqrt_binary64_445
6×log-prod_binary64_509
5×*-un-lft-identity_binary64_423 add-cube-cbrt_binary64_458
4×pow1_binary64_484 associate-*r*_binary64_363
3×distribute-rgt-in_binary64_373 distribute-lft-in_binary64_372 associate-*l*_binary64_364 add-exp-log_binary64_461 add-cbrt-cube_binary64_459
1×pow-prod-down_binary64_494 prod-exp_binary64_472 *-commutative_binary64_354 log-pow_binary64_512 add-log-exp_binary64_462 unswap-sqr_binary64_391 cbrt-unprod_binary64_456
Counts
1 → 25
Calls

1 calls:

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

series125.0ms (2.9%)

Counts
1 → 3
Calls

1 calls:

125.0ms
(*.f64 x (log.f64 x))

simplify103.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
04755255
14755255

prune57.0ms (1.3%)

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 756 to 354 computations (53.2% 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))))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite25.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
12×associate-+r+_binary64_355 log-prod_binary64_509 cbrt-prod_binary64_454
11×*-un-lft-identity_binary64_423 add-cube-cbrt_binary64_458 add-sqr-sqrt_binary64_445
9×pow1_binary64_484 add-exp-log_binary64_461 add-cbrt-cube_binary64_459
6×distribute-rgt-in_binary64_373 distribute-lft-in_binary64_372 add-log-exp_binary64_462
3×pow-prod-down_binary64_494 associate-*l*_binary64_364 prod-exp_binary64_472 cbrt-unprod_binary64_456
2×pow1/3_binary64_505
1×flip-+_binary64_397 +-commutative_binary64_353 distribute-lft-out_binary64_374 *-commutative_binary64_354 associate-*r*_binary64_363 flip3-+_binary64_426 sum-log_binary64_514
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)

series988.0ms (22.9%)

Counts
4 → 12
Calls

4 calls:

339.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
324.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
165.0ms
(cbrt.f64 x)
159.0ms
(cbrt.f64 x)

simplify73.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04876760
14876760

prune105.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New73376
Fresh325
Picked101
Done011
Total77683

Merged error: 0b

Counts
83 → 6
Compiler

Compiled 1803 to 872 computations (51.6% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(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_454
10×*-un-lft-identity_binary64_423 add-cube-cbrt_binary64_458 add-sqr-sqrt_binary64_445
4×pow1_binary64_484 pow1/3_binary64_505 add-exp-log_binary64_461 add-cbrt-cube_binary64_459 add-log-exp_binary64_462
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)

series698.0ms (16.2%)

Counts
4 → 12
Calls

4 calls:

203.0ms
(cbrt.f64 (cbrt.f64 x))
198.0ms
(cbrt.f64 (cbrt.f64 x))
157.0ms
(cbrt.f64 x)
140.0ms
(cbrt.f64 x)

simplify54.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04930466
14930466

prune61.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh044
Picked011
Done011
Total62668

Merged error: 0b

Counts
68 → 6
Compiler

Compiled 1443 to 547 computations (62.1% saved)

localize18.0ms (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))))
0.6b
(cbrt.f64 x)
5.0b
(pow.f64 x 1/3)

rewrite27.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
28×log-prod_binary64_509
19×add-sqr-sqrt_binary64_445
17×*-un-lft-identity_binary64_423 add-cube-cbrt_binary64_458
15×unpow-prod-down_binary64_502
14×distribute-rgt-in_binary64_373 distribute-lft-in_binary64_372 associate-+r+_binary64_355
7×pow1_binary64_484 add-exp-log_binary64_461
6×add-cbrt-cube_binary64_459 add-log-exp_binary64_462
5×sqr-pow_binary64_395
4×associate-*r*_binary64_363
3×associate-*l*_binary64_364 pow-unpow_binary64_500 cbrt-prod_binary64_454
1×pow-prod-down_binary64_494 pow-to-exp_binary64_492 flip-+_binary64_397 prod-exp_binary64_472 +-commutative_binary64_353 distribute-lft-out_binary64_374 pow-exp_binary64_491 pow1/3_binary64_505 *-commutative_binary64_354 log-pow_binary64_512 flip3-+_binary64_426 unpow1/3_binary64_490 pow-pow_binary64_495 unswap-sqr_binary64_391 sum-log_binary64_514 cbrt-unprod_binary64_456
Counts
4 → 88
Calls

4 calls:

9.0ms
(+.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 (24.4%)

Counts
4 → 12
Calls

4 calls:

437.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (pow.f64 x 1/3))))
313.0ms
(*.f64 x (log.f64 (pow.f64 x 1/3)))
153.0ms
(cbrt.f64 x)
149.0ms
(pow.f64 x 1/3)

simplify97.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
04938905
14938905

prune116.0ms (2.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh123
Picked101
Done022
Total1015106

Merged error: 0b

Counts
106 → 5
Compiler

Compiled 2053 to 1086 computations (47.1% saved)

regimes26.0ms (0.6%)

Compiler

Compiled 140 to 92 computations (34.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
156

end0.0ms (0%)

sample457.0ms (10.6%)

Algorithm
1×intervals
Results
246.0ms8000×body128valid
Compiler

Compiled 74 to 50 computations (32.4% saved)

Profiling

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