Details

Time bar (total: 3.4s)

sample60.0ms

Algorithm
intervals
Results
31.0ms106×body1280valid
8.0ms122×body80valid
4.0ms18×body640valid
1.0ms7×body320valid
1.0ms3×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
0717
1717

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.5b

Counts
2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(atan (+ N 1.0))
0.6b
(- (atan (+ N 1.0)) (atan N))

rewrite10.0ms

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:
2.0ms
(atan (+ N 1.0))
7.0ms
(- (atan (+ N 1.0)) (atan N))

series8.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(atan (+ N 1.0))
6.0ms
(- (atan (+ N 1.0)) (atan N))

simplify132.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (126.0ms)

IterNodesCost
05349239

prune78.0ms

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

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New27128
Fresh000
Picked011
Done000
Total27229

Merged error: 0.2b

Counts
29 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:
12.0ms
(* N (+ N 1.0))
1.0ms
(atan2 1.0 (+ 1 (* N (+ N 1.0))))

series13.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(* N (+ N 1.0))
4.0ms
(atan2 1.0 (+ 1 (* N (+ N 1.0))))

simplify118.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (110.0ms)

IterNodesCost
04907272
14907272

prune69.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New31536
Fresh000
Picked011
Done011
Total31738

Merged error: 0.1b

Counts
38 → 7

localize15.0ms

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))

rewrite45.0ms

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:
21.0ms
(* (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))

series48.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))
11.0ms
(cbrt (+ N 1.0))
12.0ms
(cbrt (+ 1.0 N))
12.0ms
(cbrt (+ 1.0 N))

simplify111.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
052421033

prune417.0ms

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

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1061107
Fresh044
Picked011
Done022
Total1068114

Merged error: 0.1b

Counts
114 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt N) (cbrt N))
0.6b
(cbrt N)
0.6b
(cbrt N)
0.6b
(cbrt N)

rewrite21.0ms

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:
11.0ms
(* (cbrt N) (cbrt N))
2.0ms
(cbrt N)
2.0ms
(cbrt N)
2.0ms
(cbrt N)

series163.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (cbrt N) (cbrt N))
38.0ms
(cbrt N)
38.0ms
(cbrt N)
42.0ms
(cbrt N)

simplify86.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
05165356

prune172.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New84185
Fresh134
Picked011
Done033
Total85893

Merged error: 0.1b

Counts
93 → 8

regimes187.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0119
1119

end0.0ms

sample1.5s

Algorithm
intervals
Results
798.0ms2759×body1280valid
268.0ms4134×body80valid
146.0ms639×body640valid
54.0ms305×body320valid
21.0ms163×body160valid

Profiling

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