Details

Time bar (total: 2.9s)

analyze106.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%50%50%4
0%50%50%5
12.5%37.5%50%6
18.7%31.2%50%7
28.1%21.9%50%8
32.8%17.2%50%9
38.2%11.7%50%10
41%9%50%11
43.9%6%50%12
45.4%4.6%50%13
46.9%3.1%50%14

sample27.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
0522228

prune6.0ms

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: 0.6b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 5.0 (*.f64 v v))
0.2b
(*.f64 PI.f64 t)
0.5b
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))))
0.5b
(/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))) (-.f64 1.0 (*.f64 v v))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log_binary64 add-cbrt-cube_binary64
18×associate-*r/_binary64
16×pow1_binary64
13×cbrt-unprod_binary64 prod-exp_binary64 add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
8×flip3--_binary64 associate-*r*_binary64 associate-/r/_binary64 flip--_binary64 sqrt-div_binary64
7×pow-prod-down_binary64 associate-*l*_binary64
4×add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64 frac-times_binary64
3×associate-/l*_binary64 times-frac_binary64 *-commutative_binary64
2×associate-/l/_binary64 unswap-sqr_binary64 associate-*l/_binary64
1×associate-/r*_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 sqrt-prod_binary64
Counts
4 → 94
Calls
4 calls:
6.0ms
(*.f64 5.0 (*.f64 v v))
4.0ms
(*.f64 PI.f64 t)
10.0ms
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))))
17.0ms
(/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))) (-.f64 1.0 (*.f64 v v))))

series85.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(*.f64 5.0 (*.f64 v v))
3.0ms
(*.f64 PI.f64 t)
25.0ms
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v))))))
52.0ms
(/.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v))) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 3.0 (*.f64 v v)))))) (-.f64 1.0 (*.f64 v v))))

simplify69.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049811908
149811908

prune156.0ms

Filtered
73 candidates to 106 candidates (-45.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New979106
Fresh000
Picked101
Done000
Total989107

Merged error: 0.3b

Counts
107 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 5.0 (*.f64 v v))
0.2b
(*.f64 PI.f64 t)
0.5b
(*.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 v v) 3.0)))) (*.f64 PI.f64 t))
0.5b
(/.f64 (sqrt.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v)))) (*.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 v v) 3.0)))) (*.f64 PI.f64 t)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log_binary64 add-cbrt-cube_binary64
16×pow1_binary64
15×add-sqr-sqrt_binary64
12×*-un-lft-identity_binary64 add-cube-cbrt_binary64
10×cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64
7×pow-prod-down_binary64 sqrt-prod_binary64
6×associate-/l*_binary64 times-frac_binary64 sqrt-div_binary64
5×associate-*r*_binary64
4×add-log-exp_binary64 associate-*r/_binary64 associate-*l/_binary64
3×flip3--_binary64 cbrt-undiv_binary64 div-exp_binary64 flip--_binary64 *-commutative_binary64
2×associate-/l/_binary64 associate-/r/_binary64 unswap-sqr_binary64
1×associate-/r*_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 91
Calls
4 calls:
6.0ms
(*.f64 5.0 (*.f64 v v))
4.0ms
(*.f64 PI.f64 t)
10.0ms
(*.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 v v) 3.0)))) (*.f64 PI.f64 t))
14.0ms
(/.f64 (sqrt.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v)))) (*.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 v v) 3.0)))) (*.f64 PI.f64 t)))

series65.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(*.f64 5.0 (*.f64 v v))
3.0ms
(*.f64 PI.f64 t)
25.0ms
(*.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 v v) 3.0)))) (*.f64 PI.f64 t))
33.0ms
(/.f64 (sqrt.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v)))) (*.f64 (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 v v) 3.0)))) (*.f64 PI.f64 t)))

simplify30.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
051891572

prune147.0ms

Filtered
67 candidates to 103 candidates (-53.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1012103
Fresh088
Picked101
Done000
Total10210112

Merged error: 0.2b

Counts
112 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 5.0 (*.f64 v v))
0.2b
(*.f64 PI.f64 t)
0.7b
(/.f64 (/.f64 (sqrt.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v)))) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 v v) 3.0))))) (*.f64 PI.f64 t))
1.0b
(/.f64 (sqrt.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v)))) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 v v) 3.0)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
102×times-frac_binary64
58×sqrt-prod_binary64
57×add-sqr-sqrt_binary64
54×*-un-lft-identity_binary64 add-cube-cbrt_binary64
36×associate-/l*_binary64
25×add-exp-log_binary64 add-cbrt-cube_binary64
11×pow1_binary64
8×sqrt-div_binary64
7×cbrt-undiv_binary64 div-exp_binary64
6×cbrt-unprod_binary64 associate-*r/_binary64 associate-/r/_binary64 associate-*l*_binary64 prod-exp_binary64
5×associate-/r*_binary64
4×pow-prod-down_binary64 add-log-exp_binary64 flip3--_binary64 associate-*r*_binary64 div-inv_binary64 flip--_binary64
3×associate-/l/_binary64
2×unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
1×sqrt-undiv_binary64
Counts
4 → 168
Calls
4 calls:
6.0ms
(*.f64 5.0 (*.f64 v v))
4.0ms
(*.f64 PI.f64 t)
15.0ms
(/.f64 (/.f64 (sqrt.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v)))) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 v v) 3.0))))) (*.f64 PI.f64 t))
11.0ms
(/.f64 (sqrt.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v)))) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 v v) 3.0)))))

series61.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(*.f64 5.0 (*.f64 v v))
3.0ms
(*.f64 PI.f64 t)
34.0ms
(/.f64 (/.f64 (sqrt.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v)))) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 v v) 3.0))))) (*.f64 PI.f64 t))
20.0ms
(/.f64 (sqrt.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v)))) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 v v) 3.0)))))

simplify58.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
053514251

prune307.0ms

Filtered
123 candidates to 180 candidates (-46.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1764180
Fresh909
Picked011
Done000
Total1855190

Merged error: 0b

Counts
190 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 5.0 (*.f64 v v))
0.1b
(*.f64 5.0 (*.f64 v v))
1.0b
(/.f64 (/.f64 (sqrt.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v)))) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 v v) 3.0))))) PI.f64)
1.0b
(/.f64 (sqrt.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v)))) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 v v) 3.0)))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac_binary64
116×add-sqr-sqrt_binary64
114×*-un-lft-identity_binary64 add-cube-cbrt_binary64
94×sqrt-prod_binary64
36×associate-/l*_binary64
21×add-exp-log_binary64 add-cbrt-cube_binary64
14×pow1_binary64
12×sqrt-div_binary64
10×associate-*r/_binary64 associate-/r/_binary64
7×associate-/r*_binary64
6×pow-prod-down_binary64 flip3--_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64 div-inv_binary64 flip--_binary64
4×add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64
3×associate-/l/_binary64
2×associate-*r*_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
1×sqrt-undiv_binary64
Counts
4 → 227
Calls
4 calls:
6.0ms
(*.f64 5.0 (*.f64 v v))
6.0ms
(*.f64 5.0 (*.f64 v v))
16.0ms
(/.f64 (/.f64 (sqrt.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v)))) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 v v) 3.0))))) PI.f64)
11.0ms
(/.f64 (sqrt.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v)))) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 v v) 3.0)))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(*.f64 5.0 (*.f64 v v))
4.0ms
(*.f64 5.0 (*.f64 v v))
23.0ms
(/.f64 (/.f64 (sqrt.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v)))) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 v v) 3.0))))) PI.f64)
21.0ms
(/.f64 (sqrt.f64 (-.f64 1.0 (*.f64 5.0 (*.f64 v v)))) (sqrt.f64 (*.f64 2.0 (-.f64 1.0 (*.f64 (*.f64 v v) 3.0)))))

simplify110.0ms

Algorithm
egg-herbie
Counts
239 → 239
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049716816
149716816

prune473.0ms

Filtered
164 candidates to 239 candidates (-45.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2390239
Fresh033
Picked011
Done011
Total2395244

Merged error: 0b

Counts
244 → 5

regimes201.0ms

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
07938
17938

end0.0ms

sample648.0ms

Algorithm
intervals
Results
511.0ms8000×body80valid
1.0ms18×body80nan

Profiling

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