Details

Time bar (total: 2.3s)

sample30.0ms

Algorithm
intervals
Results
13.0ms89×body1280valid
4.0ms134×body80valid
2.0ms18×body640valid
1.0ms10×body320valid
0.0ms5×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune3.0ms

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: 13.9b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(atan (+ N 1.0))
1.6b
(- (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))

simplify73.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 3 (10.0ms)

IterNodesCost
075154
1145145
2289143
3681142
42447142
55001142

prune48.0ms

Filtered
28 candidates to 19 candidates (32.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New26228
Fresh000
Picked101
Done000
Total27229

Merged error: 0.3b

Counts
29 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ N 1.0) N)
0.3b
(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:
5.0ms
(* (+ N 1.0) N)
1.0ms
(atan2 1.0 (+ 1 (* (+ N 1.0) N)))

series6.0ms

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

simplify62.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0121151
1432127
22321127
35002127

prune106.0ms

Filtered
34 candidates to 22 candidates (35.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New29534
Fresh011
Picked101
Done000
Total30636

Merged error: 0.2b

Counts
36 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×flip3-+ pow1/3 flip-+ distribute-lft-out
Counts
4 → 49
Calls
4 calls:
3.0ms
(cbrt (+ N 1.0))
3.0ms
(cbrt (+ N 1.0))
3.0ms
(cbrt (+ N 1.0))
1.0ms
(atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))

series20.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (+ N 1.0))
6.0ms
(cbrt (+ N 1.0))
6.0ms
(cbrt (+ N 1.0))
2.0ms
(atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))

simplify54.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0199537
1523493
21698436
35002394

prune288.0ms

Filtered
61 candidates to 47 candidates (23.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New60161
Fresh055
Picked101
Done000
Total61667

Merged error: 0.2b

Counts
67 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-prod
16×*-un-lft-identity
12×cbrt-div
10×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×flip3-+ pow1/3 flip-+ distribute-lft-out
Counts
4 → 58
Calls
4 calls:
3.0ms
(cbrt (cbrt (+ N 1.0)))
3.0ms
(cbrt (cbrt (+ N 1.0)))
3.0ms
(cbrt (cbrt (+ N 1.0)))
1.0ms
(atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))

series20.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (cbrt (+ N 1.0)))
6.0ms
(cbrt (cbrt (+ N 1.0)))
6.0ms
(cbrt (cbrt (+ N 1.0)))
3.0ms
(atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))

simplify61.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0212765
1559697
21847676
35002628

prune610.0ms

Filtered
70 candidates to 59 candidates (15.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New70070
Fresh055
Picked011
Done000
Total70676

Merged error: 0.2b

Counts
76 → 6

regimes43.0ms

Accuracy

0% (0.4b remaining)

Error of 0.7b against oracle of 0.3b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02020
12020

end0.0ms

sample829.0ms

Algorithm
intervals
Results
443.0ms2870×body1280valid
134.0ms4071×body80valid
73.0ms600×body640valid
29.0ms308×body320valid
10.0ms151×body160valid

Profiling

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