Details

Time bar (total: 3.0s)

sample31.0ms

Algorithm
intervals
Results
16.0ms104×body1280valid
5.0ms121×body80valid
3.0ms21×body640valid
1.0ms8×body320valid
0.0ms2×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(atan (+ N 1.0))
0.5b
(- (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))

series12.0ms

Counts
2 → 6
Calls
2 calls:
1.0ms
(atan (+ N 1.0))
11.0ms
(- (atan (+ N 1.0)) (atan N))

simplify76.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 3 (11.0ms)

IterNodesCost
075154
1145145
2289143
3681142
42447142
55001142

prune43.0ms

Filtered
28 candidates to 19 candidates (67.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New27128
Fresh000
Picked011
Done000
Total27229

Merged error: 0.2b

Counts
29 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
3×associate-*r*
2×associate-*l/ add-log-exp
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 28
Calls
2 calls:
6.0ms
(* (+ N 1.0) N)
1.0ms
(atan2 1.0 (+ 1 (* (+ N 1.0) N)))

series49.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* (+ N 1.0) N)
3.0ms
(atan2 1.0 (+ 1 (* (+ N 1.0) N)))

simplify57.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0121151
1432127
22321127
35002127

prune62.0ms

Filtered
34 candidates to 22 candidates (64.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New27734
Fresh000
Picked101
Done101
Total29736

Merged error: 0.1b

Counts
36 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))
17.4b
(cbrt (* (+ N 1.0) N))
17.4b
(cbrt (* (+ N 1.0) N))
17.4b
(cbrt (* (+ N 1.0) N))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
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×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
7.0ms
(* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))
5.0ms
(cbrt (* (+ N 1.0) N))
5.0ms
(cbrt (* (+ N 1.0) N))
5.0ms
(cbrt (* (+ N 1.0) N))

series429.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N)))
100.0ms
(cbrt (* (+ N 1.0) N))
104.0ms
(cbrt (* (+ N 1.0) N))
100.0ms
(cbrt (* (+ N 1.0) N))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0353803
11280743
25001669

prune229.0ms

Filtered
84 candidates to 67 candidates (79.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New83184
Fresh066
Picked101
Done000
Total84791

Merged error: 0.1b

Counts
91 → 7

localize10.0ms

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)

rewrite12.0ms

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:
6.0ms
(* (cbrt N) (cbrt N))
1.0ms
(cbrt N)
1.0ms
(cbrt N)
1.0ms
(cbrt N)

series774.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(* (cbrt N) (cbrt N))
192.0ms
(cbrt N)
186.0ms
(cbrt N)
184.0ms
(cbrt N)

simplify91.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune166.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New84185
Fresh156
Picked101
Done000
Total86692

Merged error: 0.1b

Counts
92 → 6

regimes20.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188
1188

end0.0ms

sample794.0ms

Algorithm
intervals
Results
429.0ms2854×body1280valid
143.0ms4054×body80valid
74.0ms608×body640valid
32.0ms333×body320valid
10.0ms151×body160valid

Profiling

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