Details

Time bar (total: 2.4s)

analyze9.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%74.9%25.1%0
0%74.9%25.1%1
37.5%37.5%25.1%2
37.5%18.7%43.8%3
46.8%9.4%43.8%4
51.5%4.7%43.8%5
51.5%2.3%46.1%6
52.7%1.2%46.1%7
53.3%0.6%46.1%8
53.3%0.3%46.4%9
53.4%0.1%46.4%10
53.5%0.1%46.4%11
53.5%0%46.5%12
53.5%0%46.5%13
53.5%0%46.5%14

sample40.0ms

Algorithm
intervals
Results
26.0ms256×body80valid
3.0ms256×pre80true

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
0502233

prune7.0ms

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: 0.1b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (pow.f64 (fabs.f64 x) 5) 5.0)
0.1b
(/.f64 (pow.f64 (fabs.f64 x) 3) 3.0)
0.1b
(*.f64 (/.f64 1.0 (sqrt.f64 PI.f64)) (+.f64 (*.f64 2.0 (+.f64 (fabs.f64 x) (/.f64 (pow.f64 (fabs.f64 x) 3) 3.0))) (*.f64 1.0 (+.f64 (/.f64 (pow.f64 (fabs.f64 x) 5) 5.0) (/.f64 (pow.f64 (fabs.f64 x) 7) 21.0)))))
1.0b
(sqrt.f64 PI.f64)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
77×times-frac_binary64
69×add-sqr-sqrt_binary64
60×*-un-lft-identity_binary64 add-cube-cbrt_binary64
32×associate-*r/_binary64
24×unpow-prod-down_binary64
22×associate-*l*_binary64
19×add-exp-log_binary64 associate-/l*_binary64
16×frac-add_binary64
13×add-cbrt-cube_binary64 sqrt-prod_binary64
12×flip3-+_binary64 cube-prod_binary64 flip-+_binary64
8×sqr-pow_binary64 frac-times_binary64
7×pow1_binary64 div-exp_binary64
6×associate-/r*_binary64
4×add-log-exp_binary64 unpow3_binary64 cube-mult_binary64
3×associate-*r*_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-inv_binary64
2×pow-to-exp_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 pow-exp_binary64
1×pow-prod-down_binary64 pow1/2_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 183
Calls
4 calls:
6.0ms
(/.f64 (pow.f64 (fabs.f64 x) 5) 5.0)
7.0ms
(/.f64 (pow.f64 (fabs.f64 x) 3) 3.0)
27.0ms
(*.f64 (/.f64 1.0 (sqrt.f64 PI.f64)) (+.f64 (*.f64 2.0 (+.f64 (fabs.f64 x) (/.f64 (pow.f64 (fabs.f64 x) 3) 3.0))) (*.f64 1.0 (+.f64 (/.f64 (pow.f64 (fabs.f64 x) 5) 5.0) (/.f64 (pow.f64 (fabs.f64 x) 7) 21.0)))))
2.0ms
(sqrt.f64 PI.f64)

series107.0ms

Counts
4 → 10
Calls
4 calls:
14.0ms
(/.f64 (pow.f64 (fabs.f64 x) 5) 5.0)
10.0ms
(/.f64 (pow.f64 (fabs.f64 x) 3) 3.0)
83.0ms
(*.f64 (/.f64 1.0 (sqrt.f64 PI.f64)) (+.f64 (*.f64 2.0 (+.f64 (fabs.f64 x) (/.f64 (pow.f64 (fabs.f64 x) 3) 3.0))) (*.f64 1.0 (+.f64 (/.f64 (pow.f64 (fabs.f64 x) 5) 5.0) (/.f64 (pow.f64 (fabs.f64 x) 7) 21.0)))))
0.0ms
(sqrt.f64 PI.f64)

simplify79.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049754274
149754274

prune355.0ms

Filtered
133 candidates to 193 candidates (-45.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1921193
Fresh000
Picked011
Done000
Total1922194

Merged error: 0b

Counts
194 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (pow.f64 (fabs.f64 x) 5) 5.0)
0.1b
(/.f64 (pow.f64 (fabs.f64 x) 3) 3.0)
0.3b
(/.f64 (+.f64 (*.f64 2.0 (+.f64 (fabs.f64 x) (/.f64 (pow.f64 (fabs.f64 x) 3) 3.0))) (*.f64 1.0 (+.f64 (/.f64 (pow.f64 (fabs.f64 x) 5) 5.0) (/.f64 (pow.f64 (fabs.f64 x) 7) 21.0)))) (sqrt.f64 PI.f64))
1.0b
(sqrt.f64 PI.f64)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac_binary64
62×add-sqr-sqrt_binary64
61×*-un-lft-identity_binary64 add-cube-cbrt_binary64
24×unpow-prod-down_binary64
22×associate-/l*_binary64
16×add-exp-log_binary64
15×sqrt-prod_binary64
12×associate-/r*_binary64 associate-*r/_binary64 cube-prod_binary64
10×add-cbrt-cube_binary64
8×associate-/l/_binary64 frac-add_binary64 sqr-pow_binary64
7×div-exp_binary64
6×flip3-+_binary64 flip-+_binary64
5×pow1_binary64
4×add-log-exp_binary64 unpow3_binary64 cube-mult_binary64
3×cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
2×pow-to-exp_binary64 pow-exp_binary64
1×pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64
Counts
4 → 170
Calls
4 calls:
5.0ms
(/.f64 (pow.f64 (fabs.f64 x) 5) 5.0)
6.0ms
(/.f64 (pow.f64 (fabs.f64 x) 3) 3.0)
27.0ms
(/.f64 (+.f64 (*.f64 2.0 (+.f64 (fabs.f64 x) (/.f64 (pow.f64 (fabs.f64 x) 3) 3.0))) (*.f64 1.0 (+.f64 (/.f64 (pow.f64 (fabs.f64 x) 5) 5.0) (/.f64 (pow.f64 (fabs.f64 x) 7) 21.0)))) (sqrt.f64 PI.f64))
2.0ms
(sqrt.f64 PI.f64)

series91.0ms

Counts
4 → 10
Calls
4 calls:
13.0ms
(/.f64 (pow.f64 (fabs.f64 x) 5) 5.0)
10.0ms
(/.f64 (pow.f64 (fabs.f64 x) 3) 3.0)
68.0ms
(/.f64 (+.f64 (*.f64 2.0 (+.f64 (fabs.f64 x) (/.f64 (pow.f64 (fabs.f64 x) 3) 3.0))) (*.f64 1.0 (+.f64 (/.f64 (pow.f64 (fabs.f64 x) 5) 5.0) (/.f64 (pow.f64 (fabs.f64 x) 7) 21.0)))) (sqrt.f64 PI.f64))
0.0ms
(sqrt.f64 PI.f64)

simplify49.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
056073447

prune500.0ms

Filtered
119 candidates to 180 candidates (-51.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1800180
Fresh000
Picked011
Done011
Total1802182

Merged error: 0b

Counts
182 → 2

regimes53.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03233
13233

end0.0ms

sample904.0ms

Algorithm
intervals
Results
717.0ms8000×body80valid
82.0ms8000×pre80true

Profiling

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