Details

Time bar (total: 1.6s)

analyze11.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14

sample19.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify110.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (106.0ms)

IterNodesCost
0485918
1485918

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
0.0b
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
0.0b
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
0.2b
(*.f64 (*.f64 v v) 6)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log_binary64 add-cbrt-cube_binary64
20×associate-*r/_binary64
15×pow1_binary64
14×sqrt-div_binary64
13×flip3--_binary64 flip--_binary64
11×add-sqr-sqrt_binary64
*-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 prod-exp_binary64
associate-/r/_binary64 frac-times_binary64
pow-prod-down_binary64
add-log-exp_binary64 associate-*r*_binary64 associate-*l*_binary64 associate-*l/_binary64
cbrt-undiv_binary64 associate-/l*_binary64 times-frac_binary64 div-exp_binary64 sqrt-prod_binary64
*-commutative_binary64
associate-/r*_binary64 pow1/2_binary64 sqrt-pow1_binary64 unswap-sqr_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 91
Calls
4 calls:
4.0ms
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
13.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
12.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
7.0ms
(*.f64 (*.f64 v v) 6)

series54.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
25.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
14.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
4.0ms
(*.f64 (*.f64 v v) 6)

simplify59.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049231672
149231672

prune143.0ms

Filtered
76 candidates to 103 candidates (-35.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1012103
Fresh101
Picked011
Done000
Total1023105

Merged error: 0b

Counts
105 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
0.0b
(/.f64 (*.f64 PI.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v)))
0.0b
(/.f64 4/3 (/.f64 (*.f64 PI.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v))))
0.2b
(*.f64 (*.f64 v v) 6)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac_binary64
32×add-exp-log_binary64 add-cbrt-cube_binary64
28×add-sqr-sqrt_binary64
26×*-un-lft-identity_binary64 add-cube-cbrt_binary64
12×associate-/r*_binary64
11×associate-/r/_binary64
10×pow1_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-exp_binary64
cbrt-unprod_binary64 prod-exp_binary64
associate-/l/_binary64 sqrt-div_binary64
flip3--_binary64 flip--_binary64
div-inv_binary64
flip3-+_binary64 flip-+_binary64
add-log-exp_binary64 associate-/l*_binary64 frac-times_binary64
pow-prod-down_binary64 associate-*r*_binary64 sqrt-prod_binary64
clear-num_binary64 frac-2neg_binary64 associate-*l/_binary64
pow1/2_binary64 associate-*l*_binary64 sqrt-pow1_binary64 unswap-sqr_binary64 rem-sqrt-square_binary64 *-commutative_binary64
Counts
4 → 125
Calls
4 calls:
3.0ms
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
21.0ms
(/.f64 (*.f64 PI.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v)))
16.0ms
(/.f64 4/3 (/.f64 (*.f64 PI.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v))))
7.0ms
(*.f64 (*.f64 v v) 6)

series47.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
15.0ms
(/.f64 (*.f64 PI.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v)))
23.0ms
(/.f64 4/3 (/.f64 (*.f64 PI.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (-.f64 1 (pow.f64 v 4)))) (+.f64 1 (*.f64 v v))))
4.0ms
(*.f64 (*.f64 v v) 6)

simplify79.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049113168
149113168

prune147.0ms

Filtered
107 candidates to 137 candidates (-28.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1370137
Fresh011
Picked011
Done011
Total1373140

Merged error: 0b

Counts
140 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
0.0b
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
0.2b
(*.f64 (*.f64 v v) 6)
1.0b
(log.f64 (exp.f64 (/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
30×associate-*r/_binary64
23×add-exp-log_binary64 add-cbrt-cube_binary64
18×flip3--_binary64 flip--_binary64 sqrt-div_binary64
16×log-pow_binary64 associate-/r/_binary64
15×pow1_binary64 exp-prod_binary64
12×add-sqr-sqrt_binary64 frac-times_binary64
11×*-un-lft-identity_binary64 add-cube-cbrt_binary64
cbrt-unprod_binary64 prod-exp_binary64
pow-prod-down_binary64 times-frac_binary64 associate-*l/_binary64
add-log-exp_binary64 associate-*r*_binary64 associate-*l*_binary64
log-prod_binary64 cbrt-undiv_binary64 associate-/l*_binary64 div-exp_binary64
div-inv_binary64 *-commutative_binary64
associate-/r*_binary64 rem-log-exp_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 103
Calls
4 calls:
12.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
13.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
7.0ms
(*.f64 (*.f64 v v) 6)
8.0ms
(log.f64 (exp.f64 (/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))))

series59.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
23.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
3.0ms
(*.f64 (*.f64 v v) 6)
21.0ms
(log.f64 (exp.f64 (/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))))

simplify40.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
052372133

prune99.0ms

Filtered
88 candidates to 115 candidates (-30.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1150115
Fresh000
Picked011
Done022
Total1153118

Merged error: 0b

Counts
118 → 3

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06424
16424

end0.0ms

sample497.0ms

Algorithm
intervals
Results
404.0ms8000×body80valid
0.0msbody80nan

Profiling

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