Details

Time bar (total: 2.6s)

sample30.0ms

Algorithm
intervals
Results
16.0ms90×body1280valid
4.0ms129×body80valid
3.0ms24×body640valid
1.0ms8×body160valid
0.0ms5×body320valid

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: 15.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

2.2b
(- (atan (+ N 1.0)) (atan N))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity add-log-exp
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log diff-atan add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 15
Calls
1 calls:
3.0ms
(- (atan (+ N 1.0)) (atan N))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(- (atan (+ N 1.0)) (atan N))

simplify76.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (11.0ms)

IterNodesCost
072123
1142114
2286112
3678111
42488111
55001111

prune28.0ms

Filtered
18 candidates to 12 candidates (66.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New16218
Fresh000
Picked101
Done000
Total17219

Merged error: 0.4b

Counts
19 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ N 1.0) N)
0.4b
(atan2 1.0 (+ 1 (* (+ N 1.0) N)))

rewrite8.0ms

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)))

series50.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (+ N 1.0) N)
6.0ms
(atan2 1.0 (+ 1 (* (+ N 1.0) N)))

simplify56.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0121151
1432127
22321127
35002127

prune58.0ms

Filtered
34 candidates to 22 candidates (64.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New29534
Fresh011
Picked011
Done000
Total29736

Merged error: 0.3b

Counts
36 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ N 1.0))
0.2b
(cbrt (+ N 1.0))
0.3b
(* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
0.4b
(atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod *-un-lft-identity
22×add-sqr-sqrt
16×cbrt-div
14×add-cube-cbrt
11×pow1
9×swap-sqr
8×flip3-+ pow1/3 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 → 88
Calls
4 calls:
3.0ms
(cbrt (+ N 1.0))
3.0ms
(cbrt (+ N 1.0))
10.0ms
(* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
1.0ms
(atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))

series304.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(cbrt (+ N 1.0))
93.0ms
(cbrt (+ N 1.0))
115.0ms
(* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
3.0ms
(atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))

simplify163.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 3 (154.0ms)

IterNodesCost
0330806
11079745
24794696
35001692

prune218.0ms

Filtered
100 candidates to 69 candidates (69.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New982100
Fresh235
Picked011
Done011
Total1007107

Merged error: 0.3b

Counts
107 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
0.3b
(cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
0.3b
(cbrt (cbrt (+ N 1.0)))
0.4b
(atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) N))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod cbrt-div
30×*-un-lft-identity
22×add-sqr-sqrt
14×add-cube-cbrt
13×flip3-+ flip-+
11×pow1
9×swap-sqr
8×frac-times pow1/3
7×associate-*r* associate-*l* distribute-lft-out
6×add-exp-log
4×associate-*r/ associate-*l/ 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 → 94
Calls
4 calls:
10.0ms
(* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
12.0ms
(cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
4.0ms
(cbrt (cbrt (+ N 1.0)))
1.0ms
(atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) N))))

series323.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
111.0ms
(cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))
96.0ms
(cbrt (cbrt (+ N 1.0)))
4.0ms
(atan2 1.0 (+ 1 (* (* (* (cbrt (+ N 1.0)) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) N))))

simplify64.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04591060
11476980
25001923

prune281.0ms

Filtered
106 candidates to 74 candidates (69.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1042106
Fresh044
Picked011
Done022
Total1049113

Merged error: 0.3b

Counts
113 → 9

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1124

end0.0ms

sample728.0ms

Algorithm
intervals
Results
388.0ms2821×body1280valid
124.0ms4077×body80valid
77.0ms643×body640valid
26.0ms297×body320valid
10.0ms162×body160valid