Details

Time bar (total: 830.0ms)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14

sample8.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
095
195

prune2.0ms

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: 0.2b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(*.f64 (*.f64 x 3) x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
3×pow-prod-down_binary64 cbrt-unprod_binary64 associate-*r*_binary64 prod-exp_binary64
2×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
1×add-log-exp_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
1 → 18
Calls
1 calls:
5.0ms
(*.f64 (*.f64 x 3) x)

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(*.f64 (*.f64 x 3) x)

simplify47.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04913115
14913115

prune19.0ms

Filtered
11 candidates to 21 candidates (-90.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New16521
Fresh000
Picked011
Done000
Total16622

Merged error: 0.1b

Counts
22 → 6

localize5.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 x (*.f64 x 3))
0.3b
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
23.7b
(sqrt.f64 (*.f64 x (*.f64 x 3)))
23.7b
(sqrt.f64 (*.f64 x (*.f64 x 3)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1_binary64
80×pow-prod-down_binary64
66×sqrt-pow1_binary64
17×pow-prod-up_binary64
14×pow1/2_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 pow-sqr_binary64
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64
7×associate-*l*_binary64
6×sqrt-prod_binary64
5×associate-*r*_binary64
4×add-log-exp_binary64 swap-sqr_binary64 cbrt-unprod_binary64 prod-exp_binary64
2×*-commutative_binary64
1×rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 unswap-sqr_binary64 pow2_binary64
Counts
4 → 108
Calls
4 calls:
6.0ms
(*.f64 x (*.f64 x 3))
12.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))

series20.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(*.f64 x (*.f64 x 3))
8.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 x (*.f64 x 3))))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))

simplify41.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05093497

prune51.0ms

Filtered
53 candidates to 120 candidates (-126.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1146120
Fresh314
Picked101
Done011
Total1188126

Merged error: 0.0b

Counts
126 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 x x) 3)
0.3b
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 (*.f64 x x) 3)))
23.7b
(sqrt.f64 (*.f64 (*.f64 x x) 3))
23.7b
(sqrt.f64 (*.f64 x (*.f64 x 3)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1_binary64
38×pow-prod-down_binary64
24×sqrt-pow1_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
10×add-sqr-sqrt_binary64
7×*-un-lft-identity_binary64 associate-*r*_binary64 add-cube-cbrt_binary64
5×associate-*l*_binary64
4×add-log-exp_binary64 pow1/2_binary64 cbrt-unprod_binary64 prod-exp_binary64 sqrt-prod_binary64
2×unswap-sqr_binary64 *-commutative_binary64
1×sqrt-unprod_binary64
Counts
4 → 74
Calls
4 calls:
6.0ms
(*.f64 (*.f64 x x) 3)
12.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 (*.f64 x x) 3)))
5.0ms
(sqrt.f64 (*.f64 (*.f64 x x) 3))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))

series20.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(*.f64 (*.f64 x x) 3)
8.0ms
(*.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (*.f64 (*.f64 x x) 3)))
4.0ms
(sqrt.f64 (*.f64 (*.f64 x x) 3))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))

simplify58.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04995481
14995481

prune42.0ms

Filtered
53 candidates to 86 candidates (-62.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New85186
Fresh156
Picked011
Done011
Total86894

Merged error: 0.0b

Counts
94 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(*.f64 x (sqrt.f64 3))
0.4b
(*.f64 x (sqrt.f64 3))
0.5b
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 x (sqrt.f64 3)))) (sqrt.f64 (fabs.f64 (*.f64 x (sqrt.f64 3)))))
23.7b
(sqrt.f64 (*.f64 x (*.f64 x 3)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64
29×pow1_binary64
27×sqrt-prod_binary64
18×*-un-lft-identity_binary64 associate-*r*_binary64 add-cube-cbrt_binary64
12×associate-*l*_binary64
11×sqrt-pow1_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
9×pow1/2_binary64
8×pow-prod-down_binary64 swap-sqr_binary64 unswap-sqr_binary64
5×pow-prod-up_binary64
4×add-log-exp_binary64
3×cbrt-unprod_binary64 prod-exp_binary64 pow-sqr_binary64 *-commutative_binary64
1×rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 pow2_binary64
Counts
4 → 105
Calls
4 calls:
5.0ms
(*.f64 x (sqrt.f64 3))
5.0ms
(*.f64 x (sqrt.f64 3))
7.0ms
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 x (sqrt.f64 3)))) (sqrt.f64 (fabs.f64 (*.f64 x (sqrt.f64 3)))))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))

series15.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(*.f64 x (sqrt.f64 3))
4.0ms
(*.f64 x (sqrt.f64 3))
1.0ms
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 x (sqrt.f64 3)))) (sqrt.f64 (fabs.f64 (*.f64 x (sqrt.f64 3)))))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 3)))

simplify50.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05114679

prune54.0ms

Filtered
59 candidates to 117 candidates (-98.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1170117
Fresh055
Picked011
Done022
Total1178125

Merged error: 0.0b

Counts
125 → 8

regimes52.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
065
165

end0.0ms

sample222.0ms

Algorithm
intervals
Results
129.0ms8000×body80valid

Profiling

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