Details

Time bar (total: 1.6s)

analyze1.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
100%0%0%1

sample21.0ms

Algorithm
intervals
Results
7.0ms57×body1280valid
4.0ms41×body640valid
3.0ms130×body80valid
1.0ms17×body160valid
1.0ms11×body320valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0717
1717

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.4b

Counts
2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt.f64 (+.f64 x 1.0))
0.6b
(cbrt.f64 x)
3.7b
(-.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod_binary64
14×*-un-lft-identity_binary64
13×add-sqr-sqrt_binary64
add-log-exp_binary64 add-cube-cbrt_binary64
difference-of-squares_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 distribute-lft-out--_binary64
cbrt-div_binary64 distribute-lft-out_binary64 pow1/3_binary64
flip3-+_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 flip--_binary64 flip-+_binary64
Counts
3 → 43
Calls
3 calls:
3.0ms
(cbrt.f64 (+.f64 x 1.0))
1.0ms
(cbrt.f64 x)
8.0ms
(-.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 x))

series56.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(cbrt.f64 (+.f64 x 1.0))
33.0ms
(cbrt.f64 x)
16.0ms
(-.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 x))

simplify56.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04880503
14880503

prune77.0ms

Filtered
45 candidates to 52 candidates (-15.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New47552
Fresh000
Picked101
Done000
Total48553

Merged error: 0.3b

Counts
53 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.6b
(cbrt.f64 x)
1.2b
(pow.f64 (+.f64 x 1.0) 1/3)
14.4b
(-.f64 (pow.f64 (+.f64 x 1.0) 1/3) (cbrt.f64 x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64
add-cube-cbrt_binary64 unpow-prod-down_binary64 difference-of-squares_binary64 cbrt-prod_binary64
add-log-exp_binary64
pow1_binary64 add-exp-log_binary64
pow-unpow_binary64 sqr-pow_binary64 add-cbrt-cube_binary64
pow-to-exp_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 distribute-lft-out_binary64 pow1/3_binary64 pow-pow_binary64 distribute-lft-out--_binary64 flip--_binary64 pow-exp_binary64 unpow1/3_binary64
Counts
3 → 48
Calls
3 calls:
1.0ms
(cbrt.f64 x)
5.0ms
(pow.f64 (+.f64 x 1.0) 1/3)
9.0ms
(-.f64 (pow.f64 (+.f64 x 1.0) 1/3) (cbrt.f64 x))

series53.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(cbrt.f64 x)
8.0ms
(pow.f64 (+.f64 x 1.0) 1/3)
16.0ms
(-.f64 (pow.f64 (+.f64 x 1.0) 1/3) (cbrt.f64 x))

simplify56.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05059518

prune58.0ms

Filtered
44 candidates to 57 candidates (-29.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New56157
Fresh134
Picked101
Done000
Total58462

Merged error: 0.3b

Counts
62 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 x)))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
1.5b
(pow.f64 (+.f64 x 1.0) 2/3)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity_binary64
15×add-sqr-sqrt_binary64
14×cbrt-prod_binary64
11×add-cube-cbrt_binary64
pow1_binary64 add-exp-log_binary64
associate-*r*_binary64 associate-*l*_binary64
distribute-lft-out_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 unpow-prod-down_binary64
pow-unpow_binary64
associate-*r/_binary64 pow1/3_binary64 unswap-sqr_binary64
pow-to-exp_binary64 pow-prod-down_binary64 flip3-+_binary64 cbrt-unprod_binary64 pow-pow_binary64 sqr-pow_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 prod-exp_binary64 flip-+_binary64 pow-exp_binary64 *-commutative_binary64
Counts
4 → 69
Calls
4 calls:
13.0ms
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 x)))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
5.0ms
(pow.f64 (+.f64 x 1.0) 2/3)

series94.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 x)))
32.0ms
(cbrt.f64 x)
29.0ms
(cbrt.f64 x)
8.0ms
(pow.f64 (+.f64 x 1.0) 2/3)

simplify54.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04878676
14878676

prune93.0ms

Filtered
58 candidates to 81 candidates (-39.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New77481
Fresh033
Picked101
Done000
Total78785

Merged error: 0.2b

Counts
85 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt.f64 (+.f64 x 1.0))
0.3b
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 x)))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity_binary64
18×cbrt-prod_binary64
14×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
pow1_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
distribute-lft-out_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
pow1/3_binary64
cbrt-div_binary64 flip3-+_binary64 associate-*r/_binary64 unswap-sqr_binary64 flip-+_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 prod-exp_binary64 *-commutative_binary64
Counts
4 → 65
Calls
4 calls:
5.0ms
(cbrt.f64 (+.f64 x 1.0))
12.0ms
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 x)))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series93.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt.f64 (+.f64 x 1.0))
26.0ms
(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 x)))
30.0ms
(cbrt.f64 x)
30.0ms
(cbrt.f64 x)

simplify68.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04919678
14919678

prune95.0ms

Filtered
63 candidates to 77 candidates (-22.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New70777
Fresh246
Picked101
Done000
Total731184

Merged error: 0.1b

Counts
84 → 11

regimes51.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01930
11930

end0.0ms

sample583.0ms

Algorithm
intervals
Results
203.0ms1688×body1280valid
119.0ms1268×body640valid
106.0ms4123×body80valid
42.0ms622×body320valid
13.0ms299×body160valid

Profiling

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