Details

Time bar (total: 5.0s)

analyze70.0ms (1.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
50%50%0.1%2
50%50%0.1%3
50%50%0.1%4
62.4%37.5%0.1%5
68.7%31.2%0.1%6
68.7%18.7%12.6%7
71.8%15.6%12.6%8
71.8%9.4%18.8%9
73.4%7.8%18.8%10
73.4%4.7%22%11
74.1%3.9%22%12
74.1%2.3%23.5%13
74.5%2%23.5%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample29.0ms (0.6%)

Algorithm
intervals
Results
10.0ms256×body128valid
5.0ms128×body128invalid
Compiler

Compiled 13 to 13 computations (0% saved)

simplify383.0ms (7.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (225.0ms)

IterNodesCost
057239

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize16.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 x (exp.f64 (*.f64 y y)))

rewrite12.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_23629
*-un-lft-identity_binary64_23607 associate-*l*_binary64_23548 pow1_binary64_23668 add-cbrt-cube_binary64_23643 add-cube-cbrt_binary64_23642 associate-*r*_binary64_23547
add-exp-log_binary64_23645
unswap-sqr_binary64_23575 prod-exp_binary64_23656 *-commutative_binary64_23538 add-log-exp_binary64_23646 cbrt-unprod_binary64_23640 pow-prod-down_binary64_23678
Counts
1 → 18
Calls

1 calls:

9.0ms
(*.f64 x (exp.f64 (*.f64 y y)))

series48.0ms (1%)

Counts
1 → 3
Calls

1 calls:

48.0ms
(*.f64 x (exp.f64 (*.f64 y y)))

simplify99.0ms (2%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
05507228

prune28.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New18321
Fresh000
Picked011
Done000
Total18422

Merged error: 0.0b

Counts
22 → 4
Compiler

Compiled 254 to 69 computations (72.8% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(cbrt.f64 (exp.f64 (*.f64 y y)))
0.0b
(cbrt.f64 (exp.f64 (*.f64 y y)))
0.0b
(cbrt.f64 (exp.f64 (*.f64 y y)))
0.0b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (exp.f64 (*.f64 y y))) (cbrt.f64 (exp.f64 (*.f64 y y))))) (cbrt.f64 (exp.f64 (*.f64 y y))))

rewrite42.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
13×pow1_binary64_23668 add-exp-log_binary64_23645
12×cbrt-prod_binary64_23638
*-un-lft-identity_binary64_23607 add-sqr-sqrt_binary64_23629 add-cube-cbrt_binary64_23642
add-cbrt-cube_binary64_23643
prod-exp_binary64_23656 cbrt-unprod_binary64_23640 associate-*r*_binary64_23547 pow-prod-down_binary64_23678
add-log-exp_binary64_23646
pow1/3_binary64_23689
associate-*l*_binary64_23548 *-commutative_binary64_23538
Counts
4 → 57
Calls

4 calls:

23.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (exp.f64 (*.f64 y y))) (cbrt.f64 (exp.f64 (*.f64 y y))))) (cbrt.f64 (exp.f64 (*.f64 y y))))
3.0ms
(cbrt.f64 (exp.f64 (*.f64 y y)))
3.0ms
(cbrt.f64 (exp.f64 (*.f64 y y)))
3.0ms
(cbrt.f64 (exp.f64 (*.f64 y y)))

series493.0ms (9.8%)

Counts
4 → 12
Calls

4 calls:

152.0ms
(cbrt.f64 (exp.f64 (*.f64 y y)))
144.0ms
(cbrt.f64 (exp.f64 (*.f64 y y)))
133.0ms
(cbrt.f64 (exp.f64 (*.f64 y y)))
62.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (exp.f64 (*.f64 y y))) (cbrt.f64 (exp.f64 (*.f64 y y))))) (cbrt.f64 (exp.f64 (*.f64 y y))))

simplify189.0ms (3.8%)

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (160.0ms)

IterNodesCost
04847810
14847810

prune102.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New69069
Fresh022
Picked011
Done011
Total69473

Merged error: 0.0b

Counts
73 → 4
Compiler

Compiled 1337 to 272 computations (79.7% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite27.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_23638
23×add-sqr-sqrt_binary64_23629
15×*-un-lft-identity_binary64_23607 add-cube-cbrt_binary64_23642
11×pow1_binary64_23668
pow1/3_binary64_23689
associate-*l*_binary64_23548 add-exp-log_binary64_23645 swap-sqr_binary64_23574 associate-*r*_binary64_23547
unswap-sqr_binary64_23575 add-cbrt-cube_binary64_23643 add-log-exp_binary64_23646
pow-sqr_binary64_23580 pow-prod-up_binary64_23677 pow-prod-down_binary64_23678
pow-plus_binary64_23670 prod-exp_binary64_23656 *-commutative_binary64_23538 pow2_binary64_23688 cbrt-unprod_binary64_23640
Counts
4 → 73
Calls

4 calls:

12.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
2.0ms
(cbrt.f64 x)
2.0ms
(cbrt.f64 x)
2.0ms
(cbrt.f64 x)

series626.0ms (12.5%)

Counts
4 → 12
Calls

4 calls:

192.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
154.0ms
(cbrt.f64 x)
142.0ms
(cbrt.f64 x)
138.0ms
(cbrt.f64 x)

simplify109.0ms (2.2%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
04892563
14892563

prune109.0ms (2.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh011
Picked011
Done022
Total84589

Merged error: 0b

Counts
89 → 5
Compiler

Compiled 1364 to 339 computations (75.1% saved)

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
0.6b
(cbrt.f64 (cbrt.f64 x))
0.9b
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)

rewrite29.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod_binary64_23638
11×*-un-lft-identity_binary64_23607 add-sqr-sqrt_binary64_23629 add-cube-cbrt_binary64_23642
unpow-prod-down_binary64_23686
pow1_binary64_23668 add-exp-log_binary64_23645
pow1/3_binary64_23689 add-cbrt-cube_binary64_23643 add-log-exp_binary64_23646
pow-unpow_binary64_23684
pow-pow_binary64_23679
sqr-pow_binary64_23579 pow-to-exp_binary64_23676 pow-exp_binary64_23675
Counts
4 → 58
Calls

4 calls:

7.0ms
(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
7.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
3.0ms
(cbrt.f64 (cbrt.f64 x))
2.0ms
(cbrt.f64 x)

series859.0ms (17.1%)

Counts
4 → 12
Calls

4 calls:

293.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
223.0ms
(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
189.0ms
(cbrt.f64 (cbrt.f64 x))
154.0ms
(cbrt.f64 x)

simplify110.0ms (2.2%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
04948630
14948630

prune128.0ms (2.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New70070
Fresh011
Picked011
Done033
Total70575

Merged error: 0b

Counts
75 → 5
Compiler

Compiled 1625 to 525 computations (67.7% saved)

regimes188.0ms (3.7%)

Compiler

Compiled 735 to 492 computations (33.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
179

end0.0ms (0%)

sample1.3s (25.2%)

Algorithm
intervals
Results
348.0ms8000×body128valid
184.0ms4308×body128invalid
Compiler

Compiled 160 to 110 computations (31.3% saved)

Profiling

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