Details

Time bar (total: 1.7s)

analyze5.0ms

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

sample18.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify105.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
0485918
1485918

prune8.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
0.0b
(*.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)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log_binary64 add-cbrt-cube_binary64
18×add-sqr-sqrt_binary64
14×sqrt-div_binary64
13×flip3--_binary64 flip--_binary64
12×*-un-lft-identity_binary64 pow1_binary64 associate-*r/_binary64
11×add-cube-cbrt_binary64
9×associate-*r*_binary64
8×associate-/r/_binary64 frac-times_binary64
7×cbrt-unprod_binary64 prod-exp_binary64 sqrt-prod_binary64
6×associate-*l*_binary64
4×pow-prod-down_binary64 add-log-exp_binary64 associate-*l/_binary64
3×cbrt-undiv_binary64 unswap-sqr_binary64 associate-/l*_binary64 times-frac_binary64 div-exp_binary64
2×difference-of-squares_binary64 *-commutative_binary64
1×associate-/r*_binary64 pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 97
Calls
4 calls:
3.0ms
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
10.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
16.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
6.0ms
(*.f64 (*.f64 v v) 6)

series44.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
11.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
22.0ms
(/.f64 4/3 (*.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)

simplify62.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049161792
149161792

prune121.0ms

Filtered
81 candidates to 109 candidates (-34.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1072109
Fresh101
Picked101
Done000
Total1092111

Merged error: 0b

Counts
111 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log_binary64
37×add-cbrt-cube_binary64
32×add-sqr-sqrt_binary64
24×associate-*r*_binary64
21×*-un-lft-identity_binary64 prod-exp_binary64
19×add-cube-cbrt_binary64 associate-*l*_binary64
18×flip3--_binary64 flip--_binary64 sqrt-div_binary64
17×times-frac_binary64
16×associate-/r/_binary64 div-exp_binary64
13×pow1_binary64 cbrt-unprod_binary64 frac-times_binary64
9×cbrt-undiv_binary64
7×associate-*r/_binary64 associate-*l/_binary64
6×unswap-sqr_binary64
5×pow-prod-down_binary64
4×add-log-exp_binary64 sqrt-prod_binary64
3×1-exp_binary64 rec-exp_binary64 associate-/l*_binary64 div-inv_binary64 *-commutative_binary64
2×difference-of-squares_binary64
1×associate-/r*_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 141
Calls
4 calls:
9.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
6.0ms
(*.f64 (*.f64 v v) 6)
21.0ms
(*.f64 (/.f64 1 PI.f64) (/.f64 4/3 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
10.0ms
(/.f64 4/3 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))

series60.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
4.0ms
(*.f64 (*.f64 v v) 6)
23.0ms
(*.f64 (/.f64 1 PI.f64) (/.f64 4/3 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
18.0ms
(/.f64 4/3 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
049252795
149252795

prune171.0ms

Filtered
109 candidates to 153 candidates (-40.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1530153
Fresh011
Picked011
Done000
Total1532155

Merged error: 0b

Counts
155 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
66×sqrt-prod_binary64
51×associate-*r/_binary64
40×associate-/r/_binary64
34×add-sqr-sqrt_binary64 sqrt-div_binary64
30×flip3--_binary64 flip--_binary64
29×pow1_binary64
25×add-exp-log_binary64 add-cbrt-cube_binary64
24×associate-*r*_binary64
21×frac-times_binary64
20×*-un-lft-identity_binary64 swap-sqr_binary64 add-cube-cbrt_binary64 associate-*l*_binary64
15×times-frac_binary64
11×associate-*l/_binary64
10×cbrt-unprod_binary64 prod-exp_binary64
9×pow-prod-down_binary64
8×pow1/2_binary64 sqrt-pow1_binary64
6×unswap-sqr_binary64
5×pow-prod-up_binary64 div-inv_binary64
4×add-log-exp_binary64
3×cbrt-undiv_binary64 associate-/l*_binary64 div-exp_binary64 pow-sqr_binary64 *-commutative_binary64
1×associate-/r*_binary64 rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 clear-num_binary64 frac-2neg_binary64 pow2_binary64
Counts
4 → 157
Calls
4 calls:
12.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
6.0ms
(*.f64 (*.f64 v v) 6)
6.0ms
(*.f64 (*.f64 v v) 6)
36.0ms
(*.f64 (sqrt.f64 (/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))) (sqrt.f64 (/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))))

series65.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/.f64 4/3 (*.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)
4.0ms
(*.f64 (*.f64 v v) 6)
31.0ms
(*.f64 (sqrt.f64 (/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))) (sqrt.f64 (/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))))

simplify52.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
050823506

prune227.0ms

Filtered
111 candidates to 169 candidates (-52.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1690169
Fresh000
Picked011
Done011
Total1692171

Merged error: 0b

Counts
171 → 2

regimes47.0ms

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
05420
15420

end0.0ms

sample492.0ms

Algorithm
intervals
Results
400.0ms8000×body80valid
0.0ms4×body80nan

Profiling

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