Details

Time bar (total: 1.9s)

sample34.0ms

Algorithm
intervals
Results
15.0ms93×body1280valid
5.0ms139×body80valid
2.0ms19×body640valid
0.0ms4×body320valid
0.0ms1×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0107
1107

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(atan (+ N 1.0))
0.9b
(- (atan (+ N 1.0)) (atan N))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt *-un-lft-identity add-log-exp
2×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
1×sub-neg flip3-- diff-log diff-atan flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 22
Calls
2 calls:
1.0ms
(atan (+ N 1.0))
3.0ms
(- (atan (+ N 1.0)) (atan N))

series3.0ms

Counts
2 → 6
Calls
2 calls:
1.0ms
(atan (+ N 1.0))
2.0ms
(- (atan (+ N 1.0)) (atan N))

simplify72.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04929239
14929239

prune37.0ms

Filtered
19 candidates to 28 candidates (-47.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New26228
Fresh000
Picked011
Done000
Total26329

Merged error: 0.2b

Counts
29 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* N (+ N 1.0))
0.2b
(atan2 1.0 (+ 1 (* N (+ N 1.0))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
3×associate-*l*
2×associate-*r/ add-log-exp
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 30
Calls
2 calls:
8.0ms
(* N (+ N 1.0))
1.0ms
(atan2 1.0 (+ 1 (* N (+ N 1.0))))

series7.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* N (+ N 1.0))
2.0ms
(atan2 1.0 (+ 1 (* N (+ N 1.0))))

simplify61.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04879272
14879272

prune65.0ms

Filtered
26 candidates to 36 candidates (-38.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New30636
Fresh101
Picked011
Done011
Total31839

Merged error: 0.2b

Counts
39 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))
15.3b
(cbrt (* N (+ 1.0 N)))
15.3b
(cbrt (* N (+ 1.0 N)))
15.3b
(cbrt (* N (+ 1.0 N)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))
4.0ms
(cbrt (* N (+ 1.0 N)))
4.0ms
(cbrt (* N (+ 1.0 N)))
4.0ms
(cbrt (* N (+ 1.0 N)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (cbrt (* N (+ 1.0 N))) (cbrt (* N (+ 1.0 N))))
11.0ms
(cbrt (* N (+ 1.0 N)))
9.0ms
(cbrt (* N (+ 1.0 N)))
9.0ms
(cbrt (* N (+ 1.0 N)))

simplify47.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049401019
149401019

prune197.0ms

Filtered
71 candidates to 84 candidates (-18.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh055
Picked011
Done022
Total84892

Merged error: 0.2b

Counts
92 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))
0.3b
(cbrt (+ N 1.0))
0.3b
(cbrt (+ 1.0 N))
0.3b
(cbrt (+ 1.0 N))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
9.0ms
(* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))
3.0ms
(cbrt (+ N 1.0))
3.0ms
(cbrt (+ 1.0 N))
3.0ms
(cbrt (+ 1.0 N))

series24.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))
6.0ms
(cbrt (+ N 1.0))
6.0ms
(cbrt (+ 1.0 N))
6.0ms
(cbrt (+ 1.0 N))

simplify59.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
057111033

prune197.0ms

Filtered
73 candidates to 107 candidates (-46.6%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1070107
Fresh044
Picked011
Done033
Total1078115

Merged error: 0.2b

Counts
115 → 8

regimes88.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119
1119

end0.0ms

sample834.0ms

Algorithm
intervals
Results
427.0ms2780×body1280valid
140.0ms4128×body80valid
83.0ms627×body640valid
30.0ms306×body320valid
11.0ms159×body160valid

Profiling

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