Details

Time bar (total: 2.3s)

sample33.0ms

Algorithm
intervals
Results
18.0ms94×body1280valid
4.0ms133×body80valid
3.0ms20×body640valid
0.0ms5×body320valid
0.0ms4×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: 13.8b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(atan (+ N 1.0))
1.3b
(- (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))

simplify78.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 3 (11.0ms)

IterNodesCost
075154
1145145
2289143
3681142
42447142
55001142

prune41.0ms

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: 0.6b

Counts
29 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ N 1.0) N)
0.6b
(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)))

series45.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* (+ N 1.0) N)
3.0ms
(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

prune53.0ms

Filtered
34 candidates to 22 candidates (64.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New31334
Fresh000
Picked011
Done011
Total31536

Merged error: 0.5b

Counts
36 → 5

localize10.0ms

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))
0.6b
(atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))

rewrite11.0ms

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))))

series268.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(cbrt (+ N 1.0))
87.0ms
(cbrt (+ N 1.0))
90.0ms
(cbrt (+ N 1.0))
3.0ms
(atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))

simplify55.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0198498
1513454
21623445
35001430

prune163.0ms

Filtered
61 candidates to 53 candidates (86.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New59261
Fresh022
Picked101
Done022
Total60666

Merged error: 0.5b

Counts
66 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ N 1.0))
0.3b
(cbrt (- N 1.0))
0.6b
(atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N))))
16.2b
(cbrt (- (* N N) (* 1.0 1.0)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
11×*-un-lft-identity
9×add-sqr-sqrt
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×pow1/3
2×flip3-- flip-- difference-of-squares
1×flip3-+ flip-+ distribute-lft-out distribute-lft-out--
Counts
4 → 50
Calls
4 calls:
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 N) (* 1.0 1.0))) (cbrt (- N 1.0))) N))))
4.0ms
(cbrt (- (* N N) (* 1.0 1.0)))

series377.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(cbrt (+ N 1.0))
97.0ms
(cbrt (- N 1.0))
8.0ms
(atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0))) N))))
184.0ms
(cbrt (- (* N N) (* 1.0 1.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0479606
11458551
25001537

prune208.0ms

Filtered
62 candidates to 56 candidates (90.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New62062
Fresh033
Picked011
Done022
Total62668

Merged error: 0.5b

Counts
68 → 6

regimes47.0ms

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
0124
1124

end0.0ms

sample786.0ms

Algorithm
intervals
Results
432.0ms2896×body1280valid
136.0ms4038×body80valid
74.0ms619×body640valid
27.0ms293×body320valid
10.0ms154×body160valid

Profiling

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