Details

Time bar (total: 2.2s)

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

sample17.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify797.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (225.0ms)

IterNodesCost
047579
147579

prune5.0ms

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: 31.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (pow.f64 x 2))
30.0b
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

rewrite13.0ms

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

series57.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(*.f64 2 (pow.f64 x 2))
36.0ms
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

simplify76.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04961368
14961368

prune31.0ms

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))

rewrite5.0ms

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))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

simplify83.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
04870270
14870270

prune19.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New22325
Fresh202
Picked011
Done011
Total24529

Merged error: 0.0b

Counts
29 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod_binary64
15×add-sqr-sqrt_binary64
12×associate-*l*_binary64
10×associate-*r*_binary64
9×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
3×unswap-sqr_binary64
2×add-log-exp_binary64 *-commutative_binary64
Counts
2 → 50
Calls
2 calls:
6.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))
10.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))

series59.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))
23.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))

simplify77.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05155685

prune35.0ms

Filtered
34 candidates to 56 candidates (-64.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New55156
Fresh022
Picked011
Done112
Total56561

Merged error: 0b

Counts
61 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
48×sqrt-prod_binary64
22×associate-*l*_binary64
21×add-sqr-sqrt_binary64
19×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
16×associate-*r*_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
10×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
3×add-log-exp_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
3 → 83
Calls
3 calls:
16.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))))
6.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x))
13.0ms
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))

series203.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))))
34.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x))
148.0ms
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))

simplify67.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
052271347

prune64.0ms

Filtered
52 candidates to 92 candidates (-76.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New91192
Fresh112
Picked011
Done022
Total92597

Merged error: 0b

Counts
97 → 5

regimes17.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01523
11523

end0.0ms

sample420.0ms

Algorithm
intervals
Results
314.0ms8000×body80valid

Profiling

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