Details

Time bar (total: 4.2s)

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)

sample12.0ms (0.3%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify167.0ms (4%)

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: 0.3b

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))

rewrite8.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_445
log-prod_binary64_509
*-un-lft-identity_binary64_423 add-cube-cbrt_binary64_458
pow1_binary64_484 associate-*r*_binary64_363
distribute-rgt-in_binary64_373 distribute-lft-in_binary64_372 associate-*l*_binary64_364 add-exp-log_binary64_461 add-cbrt-cube_binary64_459
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:

6.0ms
(*.f64 x (log.f64 x))

series126.0ms (3%)

Counts
1 → 3
Calls

1 calls:

126.0ms
(*.f64 x (log.f64 x))

simplify100.0ms (2.4%)

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
04755255
14755255

prune60.0ms (1.4%)

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 799 to 365 computations (54.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite21.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64_445
13×*-un-lft-identity_binary64_423 add-cube-cbrt_binary64_458
12×pow1_binary64_484 log-prod_binary64_509 cbrt-prod_binary64_454
11×add-exp-log_binary64_461 add-cbrt-cube_binary64_459
distribute-rgt-in_binary64_373 distribute-lft-in_binary64_372 associate-*l*_binary64_364 associate-*r*_binary64_363
pow-prod-down_binary64_494 prod-exp_binary64_472 add-log-exp_binary64_462 cbrt-unprod_binary64_456
pow1/3_binary64_505
*-commutative_binary64_354 log-pow_binary64_512
unswap-sqr_binary64_391
Counts
4 → 72
Calls

4 calls:

6.0ms
(*.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)

series970.0ms (23.2%)

Counts
4 → 12
Calls

4 calls:

323.0ms
(*.f64 x (log.f64 (cbrt.f64 x)))
320.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
168.0ms
(cbrt.f64 x)
159.0ms
(cbrt.f64 x)

simplify66.0ms (1.6%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04933834
14933834

prune180.0ms (4.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New78684
Fresh505
Picked101
Done011
Total84791

Merged error: 0.0b

Counts
91 → 7
Compiler

Compiled 3168 to 1661 computations (47.6% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite22.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_445
14×*-un-lft-identity_binary64_423 add-cube-cbrt_binary64_458 log-prod_binary64_509
12×pow1_binary64_484 add-exp-log_binary64_461
11×add-cbrt-cube_binary64_459
unpow-prod-down_binary64_502
distribute-rgt-in_binary64_373 distribute-lft-in_binary64_372
associate-*l*_binary64_364
associate-*r*_binary64_363
pow-prod-down_binary64_494 prod-exp_binary64_472 add-log-exp_binary64_462 cbrt-unprod_binary64_456
pow-unpow_binary64_500 cbrt-prod_binary64_454 sqr-pow_binary64_395
*-commutative_binary64_354
pow-to-exp_binary64_492 pow-exp_binary64_491 pow1/3_binary64_505 log-pow_binary64_512 unpow1/3_binary64_490 pow-pow_binary64_495 unswap-sqr_binary64_391
Counts
4 → 80
Calls

4 calls:

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

series907.0ms (21.7%)

Counts
4 → 12
Calls

4 calls:

330.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 x)) 2))
290.0ms
(*.f64 x (log.f64 (pow.f64 x 1/3)))
145.0ms
(cbrt.f64 x)
141.0ms
(pow.f64 x 1/3)

simplify51.0ms (1.2%)

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05339840

prune100.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh055
Picked011
Done011
Total92799

Merged error: 0.0b

Counts
99 → 7
Compiler

Compiled 1947 to 1038 computations (46.7% saved)

localize19.0ms (0.4%)

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))

rewrite11.0ms (0.3%)

Algorithm
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
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)

series693.0ms (16.6%)

Counts
4 → 12
Calls

4 calls:

201.0ms
(cbrt.f64 (cbrt.f64 x))
196.0ms
(cbrt.f64 (cbrt.f64 x))
149.0ms
(cbrt.f64 x)
146.0ms
(cbrt.f64 x)

simplify52.0ms (1.2%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04930466
14930466

prune68.0ms (1.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New62062
Fresh044
Picked011
Done022
Total62769

Merged error: 0.0b

Counts
69 → 7
Compiler

Compiled 1640 to 736 computations (55.1% saved)

regimes34.0ms (0.8%)

Compiler

Compiled 262 to 158 computations (39.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
156

end0.0ms (0%)

sample473.0ms (11.3%)

Algorithm
intervals
Results
226.0ms8000×body128valid
0.0msbody128invalid
0.0msbody128nan
Compiler

Compiled 135 to 83 computations (38.5% saved)

Profiling

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