Details

Time bar (total: 1.3s)

analyze5.0ms

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

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0119
1119

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.7b

Counts
2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

27.6b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1_binary64
3×pow-prod-down_binary64 sqrt-pow1_binary64
1×*-un-lft-identity_binary64 add-log-exp_binary64 pow1/2_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 sqrt-prod_binary64
Counts
1 → 12
Calls
1 calls:
7.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))

simplify194.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (184.0ms)

IterNodesCost
04799120
14799120

prune16.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.3b

Counts
16 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

0.5b
(*.f64 (sqrt.f64 2) (fabs.f64 x))

rewrite6.0ms

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))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

simplify80.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04870270
14870270

prune20.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New20525
Fresh202
Picked011
Done011
Total22729

Merged error: 0.0b

Counts
29 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(*.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:
7.0ms
(*.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))))

series54.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))
22.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))

simplify75.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
05155685

prune34.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New55156
Fresh314
Picked011
Done112
Total59463

Merged error: 0b

Counts
63 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(*.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))))
0.3b
(*.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)))))

rewrite39.0ms

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:
6.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x))
12.0ms
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
17.0ms
(*.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)))))

series207.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x))
145.0ms
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
25.0ms
(*.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)))))

simplify68.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
052271347

prune62.0ms

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

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done022
Total92496

Merged error: 0b

Counts
96 → 4

regimes16.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01328
11328

end0.0ms

sample296.0ms

Algorithm
intervals
Results
199.0ms8000×body80valid

Profiling

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