Details

Time bar (total: 1.8s)

analyze1.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
100%0%0%1

sample29.0ms

Algorithm
intervals
Results
14.0ms87×body1280valid
5.0ms140×body80valid
2.0ms14×body640valid
1.0ms10×body320valid
0.0ms5×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.8b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

1.0b
(- (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))

series2.0ms

Counts
1 → 3
Calls
1 calls:
2.0ms
(- (atan (+ N 1.0)) (atan N))

simplify77.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (10.0ms)

IterNodesCost
072123
1142114
2286112
3678111
42444111
55002111

prune25.0ms

Filtered
12 candidates to 18 candidates (-50.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219

Merged error: 0.5b

Counts
19 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ N 1.0) N)
0.5b
(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)))

series7.0ms

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

prune50.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New31334
Fresh000
Picked011
Done011
Total31536

Merged error: 0.5b

Counts
36 → 5

localize11.0ms

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)

series98.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt N) (cbrt N))
22.0ms
(cbrt N)
23.0ms
(cbrt N)
25.0ms
(cbrt N)

simplify75.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune94.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh112
Picked011
Done022
Total85590

Merged error: 0.5b

Counts
90 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))
0.5b
(atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))
0.6b
(cbrt N)
31.1b
(cbrt (* N N))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log
7×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*r* add-cbrt-cube
4×associate-*l/ add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×flip3-+ associate-*l* *-commutative flip-+
Counts
4 → 50
Calls
4 calls:
9.0ms
(* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))
1.0ms
(atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))
1.0ms
(cbrt N)
3.0ms
(cbrt (* N N))

series60.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))
3.0ms
(atan2 1.0 (+ 1 (* (* (+ N 1.0) (cbrt (* N N))) (cbrt N))))
23.0ms
(cbrt N)
25.0ms
(cbrt (* N N))

simplify34.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0276408
1939362
25001321

prune82.0ms

Filtered
48 candidates to 62 candidates (-29.2%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New60262
Fresh011
Picked011
Done033
Total60767

Merged error: 0.4b

Counts
67 → 7

regimes94.0ms

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

analyze1.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
100%0%0%1

sample878.0ms

Algorithm
intervals
Results
473.0ms2842×body1280valid
154.0ms4055×body80valid
86.0ms614×body640valid
37.0ms336×body320valid
14.0ms153×body160valid

Profiling

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