Details

Time bar (total: 5.5s)

sample136.0ms

Algorithm
intervals
Results
38.0ms97×body2560valid
32.0ms794×body80nan
23.0ms85×body1280valid
8.0ms40×body640valid
4.0ms25×body320valid
0.0ms5×body160valid
0.0ms4×body80valid

simplify101.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0197
1427
2777
31467
42427
54177
627897
750027

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
0.2b
(* 5.0 (* v v))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-log-exp
1×acos-asin associate-*r* *-commutative unswap-sqr
Counts
2 → 27
Calls
2 calls:
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
5.0ms
(* 5.0 (* v v))

series6.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
3.0ms
(* 5.0 (* v v))

simplify108.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0119184
1350154
2945154
33243154
45001154

prune43.0ms

Filtered
33 candidates to 21 candidates (36.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New31233
Fresh000
Picked101
Done000
Total32234

Merged error: 0.1b

Counts
34 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.1b
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
0.2b
(* 5.0 (* v v))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×pow1 add-exp-log add-cbrt-cube
6×*-un-lft-identity
5×add-log-exp
4×add-cube-cbrt
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×asin-acos difference-of-squares
1×sub-neg flip3-- times-frac diff-log associate-*r* *-commutative flip-- distribute-lft-out-- associate--r- unswap-sqr
Counts
3 → 43
Calls
3 calls:
7.0ms
(- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
5.0ms
(* 5.0 (* v v))

series11.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
3.0ms
(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
3.0ms
(* 5.0 (* v v))

simplify45.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0195437
1533403
21403403
35002403

prune70.0ms

Filtered
52 candidates to 34 candidates (34.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New51152
Fresh011
Picked011
Done000
Total51354

Merged error: 0.1b

Counts
54 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

series182.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
41.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
41.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
44.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

simplify89.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
01171278
14171112
226981044
350011031

prune220.0ms

Filtered
85 candidates to 56 candidates (34.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh011
Picked101
Done011
Total84488

Merged error: 0.1b

Counts
88 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

series171.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
43.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
43.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
44.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (44.0ms)

IterNodesCost
058672
1123604
2307596
31028596
45001592

prune228.0ms

Filtered
56 candidates to 48 candidates (14.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh022
Picked011
Done011
Total56460

Merged error: 0.1b

Counts
60 → 4

regimes163.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0149
1149

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.2s2917×body2560valid
886.0ms24245×body80nan
692.0ms2588×body1280valid
246.0ms1246×body640valid
97.0ms662×body320valid
39.0ms390×body160valid
11.0ms197×body80valid

Profiling

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