Details

Time bar (total: 2.1s)

analyze12.0ms

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

sample206.0ms

Algorithm
intervals
Results
9.0ms256×body128valid

simplify340.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (167.0ms)

IterNodesCost
047559
147559

prune4.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 31.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (pow.f64 x 2))
29.9b
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64
8×associate-*r*_binary64
7×add-exp-log_binary64
5×*-un-lft-identity_binary64 add-cube-cbrt_binary64
4×add-cbrt-cube_binary64 unswap-sqr_binary64 unpow-prod-down_binary64
3×pow1_binary64 associate-*l*_binary64 prod-exp_binary64
2×add-log-exp_binary64 unpow2_binary64 sqr-pow_binary64
1×pow-to-exp_binary64 pow1/2_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 sqrt-prod_binary64 pow-exp_binary64 *-commutative_binary64
Counts
2 → 37
Calls
2 calls:
7.0ms
(*.f64 2 (pow.f64 x 2))
6.0ms
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(*.f64 2 (pow.f64 x 2))
62.0ms
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

simplify50.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04960368
14960368

prune35.0ms

Filtered
31 candidates to 43 candidates (-38.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked011
Done000
Total40444

Merged error: 0.2b

Counts
44 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:
5.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

simplify57.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04868270
14868270

prune19.0ms

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))))

rewrite25.0ms

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)))
15.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

series238.0ms

Counts
2 → 6
Calls
2 calls:
190.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
48.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

simplify66.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05337624

prune41.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New51354
Fresh123
Picked011
Done112
Total53760

Merged error: 0.0b

Counts
60 → 7

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
19×associate-*l*_binary64
17×add-exp-log_binary64
16×add-sqr-sqrt_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 associate-*r*_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 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))

series274.0ms

Counts
2 → 6
Calls
2 calls:
227.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
47.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))

simplify38.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05529755

prune41.0ms

Filtered
40 candidates to 60 candidates (-50.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New59160
Fresh224
Picked011
Done112
Total62567

Merged error: 0b

Counts
67 → 5

regimes16.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01431
11431

end0.0ms

sample384.0ms

Algorithm
intervals
Results
282.0ms8000×body128valid

Profiling

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