Details

Time bar (total: 1.8s)

analyze321.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
18.7%81.1%0.1%7
21.8%78%0.1%8
27.3%67.1%5.6%9
41%50.3%8.7%10
43.9%47%9.1%11
48.3%38%13.7%12
56.3%27.4%16.2%13
58.2%25.4%16.4%14

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms25×body80invalid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0127
1127

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.9b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (/.f64 (*.f64 y y) z))
10.9b
(/.f64 (*.f64 y y) z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64 add-cbrt-cube_binary64
*-un-lft-identity_binary64
add-log-exp_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
associate-/r*_binary64 times-frac_binary64
pow1_binary64 cbrt-undiv_binary64 div-exp_binary64
flip3-+_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
2 → 33
Calls
2 calls:
9.0ms
(+.f64 x (/.f64 (*.f64 y y) z))
8.0ms
(/.f64 (*.f64 y y) z)

series23.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+.f64 x (/.f64 (*.f64 y y) z))
7.0ms
(/.f64 (*.f64 y y) z)

simplify77.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
05116297

prune44.0ms

Filtered
27 candidates to 39 candidates (-44.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New35439
Fresh000
Picked011
Done000
Total35540

Merged error: 0.0b

Counts
40 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 y (/.f64 y z)))
0.2b
(*.f64 y (/.f64 y z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 pow1_binary64
associate-*l*_binary64
cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64
pow-prod-down_binary64 flip3-+_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 43
Calls
2 calls:
4.0ms
(+.f64 x (*.f64 y (/.f64 y z)))
7.0ms
(*.f64 y (/.f64 y z))

series14.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+.f64 x (*.f64 y (/.f64 y z)))
4.0ms
(*.f64 y (/.f64 y z))

simplify59.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04932359
14932359

prune45.0ms

Filtered
30 candidates to 49 candidates (-63.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New47249
Fresh033
Picked011
Done011
Total47754

Merged error: 0b

Counts
54 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
pow1/3_binary64
swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 73
Calls
4 calls:
6.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
2.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)

series78.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
18.0ms
(cbrt.f64 z)
20.0ms
(cbrt.f64 z)
19.0ms
(cbrt.f64 z)

simplify48.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04940374
14940374

prune77.0ms

Filtered
65 candidates to 85 candidates (-30.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done022
Total85792

Merged error: 0b

Counts
92 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (/.f64 1 (/.f64 z (*.f64 y y))))
0.3b
(/.f64 1 (/.f64 z (*.f64 y y)))
10.9b
(/.f64 z (*.f64 y y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac_binary64
29×add-exp-log_binary64
24×*-un-lft-identity_binary64
21×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
17×add-cbrt-cube_binary64
14×div-exp_binary64
associate-/r*_binary64
cbrt-undiv_binary64 div-inv_binary64
associate-/l*_binary64
add-log-exp_binary64
pow1_binary64 prod-exp_binary64
1-exp_binary64 rec-exp_binary64
cbrt-unprod_binary64 distribute-lft-out_binary64 clear-num_binary64 frac-2neg_binary64
flip3-+_binary64 associate-/r/_binary64 inv-pow_binary64 +-commutative_binary64 pow-flip_binary64 flip-+_binary64 sum-log_binary64
Counts
3 → 90
Calls
3 calls:
10.0ms
(+.f64 x (/.f64 1 (/.f64 z (*.f64 y y))))
7.0ms
(/.f64 1 (/.f64 z (*.f64 y y)))
5.0ms
(/.f64 z (*.f64 y y))

series26.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+.f64 x (/.f64 1 (/.f64 z (*.f64 y y))))
8.0ms
(/.f64 1 (/.f64 z (*.f64 y y)))
6.0ms
(/.f64 z (*.f64 y y))

simplify54.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04947798
14947798

prune57.0ms

Filtered
56 candidates to 99 candidates (-76.8%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New98199
Fresh213
Picked011
Done033
Total1006106

Merged error: 0b

Counts
106 → 6

regimes337.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
087
187

end0.0ms

sample402.0ms

Algorithm
intervals
Results
197.0ms8000×body80valid
24.0ms876×body80invalid

Profiling

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