Details

Time bar (total: 2.1s)

sample52.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
24.0ms86×body1280valid
8.0ms127×body80valid
6.0ms25×body640valid
2.0ms11×body320valid
1.0ms7×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(atan (+ N 1.0))
2.1b
(- (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))

series4.0ms

Counts
2 → 6
Calls
2 calls:
1.0ms
(atan (+ N 1.0))
3.0ms
(- (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

prune40.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New26228
Fresh000
Picked101
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)))

series6.0ms

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

simplify54.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0121151
1432127
22321127
35002127

prune59.0ms

Filtered
22 candidates to 34 candidates (-54.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New29534
Fresh011
Picked011
Done000
Total29736

Merged error: 0.2b

Counts
36 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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:
9.0ms
(* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
3.0ms
(cbrt (+ N 1.0))
3.0ms
(cbrt (+ N 1.0))
3.0ms
(cbrt (+ N 1.0))

series25.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))
6.0ms
(cbrt (+ N 1.0))
6.0ms
(cbrt (+ N 1.0))
6.0ms
(cbrt (+ N 1.0))

simplify138.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (129.0ms)

IterNodesCost
0320865
11038820
24490715
35002711

prune228.0ms

Filtered
72 candidates to 107 candidates (-48.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1034107
Fresh055
Picked101
Done011
Total10410114

Merged error: 0.2b

Counts
114 → 10

localize19.0ms

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))
14.0b
(cbrt (- (* N N) (* 1.0 1.0)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×cbrt-prod
14×*-un-lft-identity
10×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×flip3-- flip3-+ flip-- flip-+ distribute-lft-out difference-of-squares
1×distribute-lft-out--
Counts
4 → 57
Calls
4 calls:
3.0ms
(cbrt (+ N 1.0))
3.0ms
(cbrt (+ N 1.0))
3.0ms
(cbrt (- N 1.0))
3.0ms
(cbrt (- (* N N) (* 1.0 1.0)))

series32.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (+ N 1.0))
6.0ms
(cbrt (+ N 1.0))
7.0ms
(cbrt (- N 1.0))
12.0ms
(cbrt (- (* N N) (* 1.0 1.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0427608
11363580
25001559

prune256.0ms

Filtered
60 candidates to 69 candidates (-15.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New68169
Fresh178
Picked011
Done011
Total691079

Merged error: 0.2b

Counts
79 → 10

regimes110.0ms

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

sample899.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
470.0ms2871×body1280valid
148.0ms4038×body80valid
90.0ms630×body640valid
35.0ms314×body320valid
11.0ms147×body160valid

Profiling

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