Details

Time bar (total: 1.9s)

analyze215.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14

sample22.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify547.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (99.0ms)

IterNodesCost
049066
149066

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 30.7b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (*.f64 x x))
29.6b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1_binary64
7×add-exp-log_binary64 add-cbrt-cube_binary64
6×pow-prod-down_binary64
4×add-sqr-sqrt_binary64
3×*-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 associate-*l*_binary64 sqrt-pow1_binary64 prod-exp_binary64
2×add-log-exp_binary64
1×pow1/2_binary64 associate-*r*_binary64 unswap-sqr_binary64 sqrt-prod_binary64 *-commutative_binary64
Counts
2 → 31
Calls
2 calls:
6.0ms
(*.f64 2 (*.f64 x x))
17.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(*.f64 2 (*.f64 x x))
12.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))

simplify56.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05178201

prune34.0ms

Filtered
23 candidates to 37 candidates (-60.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34337
Fresh000
Picked011
Done000
Total34438

Merged error: 0.2b

Counts
38 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

0.4b
(*.f64 (sqrt.f64 2) (fabs.f64 x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64
6×associate-*l*_binary64
4×*-un-lft-identity_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64
3×pow1_binary64 associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
2×unswap-sqr_binary64
1×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64 *-commutative_binary64
Counts
1 → 22
Calls
1 calls:
10.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

simplify35.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04879163
14879163

prune28.0ms

Filtered
15 candidates to 25 candidates (-66.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New21425
Fresh202
Picked011
Done011
Total23629

Merged error: 0.0b

Counts
29 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
0.3b
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1_binary64 add-exp-log_binary64
12×add-sqr-sqrt_binary64
10×associate-*r*_binary64
9×pow-prod-down_binary64 cbrt-unprod_binary64 add-cbrt-cube_binary64 prod-exp_binary64
8×cbrt-prod_binary64
6×*-un-lft-identity_binary64 add-cube-cbrt_binary64
4×associate-*l*_binary64 sqrt-prod_binary64
3×unswap-sqr_binary64
2×add-log-exp_binary64 *-commutative_binary64
Counts
2 → 48
Calls
2 calls:
6.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
12.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

series28.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
8.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

simplify54.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04937374
14937374

prune47.0ms

Filtered
30 candidates to 54 candidates (-80.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New53154
Fresh123
Picked011
Done022
Total54660

Merged error: 0b

Counts
60 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
0.3b
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)) (cbrt.f64 (sqrt.f64 2)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log_binary64
16×add-sqr-sqrt_binary64
12×associate-*r*_binary64
11×associate-*l*_binary64
10×prod-exp_binary64
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64
8×unpow-prod-down_binary64
7×add-cbrt-cube_binary64 sqrt-prod_binary64
6×cbrt-prod_binary64
4×pow1_binary64 cbrt-unprod_binary64 unswap-sqr_binary64
2×pow-to-exp_binary64 add-log-exp_binary64 sqr-pow_binary64 pow-exp_binary64 *-commutative_binary64
1×pow-prod-down_binary64
Counts
2 → 54
Calls
2 calls:
6.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
9.0ms
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)) (cbrt.f64 (sqrt.f64 2)))

series30.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
4.0ms
(*.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)) (cbrt.f64 (sqrt.f64 2)))

simplify56.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04970482
14970482

prune47.0ms

Filtered
37 candidates to 60 candidates (-62.2%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New60060
Fresh022
Picked011
Done033
Total60666

Merged error: 0b

Counts
66 → 6

regimes37.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01014
11014

end0.0ms

sample545.0ms

Algorithm
intervals
Results
437.0ms8000×body80valid
0.0ms1×body80invalid

Profiling

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