Details

Time bar (total: 1.6s)

analyze1.0ms

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

sample32.0ms

Algorithm
intervals
Results
14.0ms91×body1280valid
7.0ms26×body640valid
4.0ms129×body80valid
1.0ms7×body160valid
0.0ms3×body320valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(atan (+ N 1.0))
1.5b
(- (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 → 21
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))

simplify20.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
05041236

prune40.0ms

Filtered
19 candidates to 27 candidates (-42.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New25227
Fresh000
Picked011
Done000
Total25328

Merged error: 0.3b

Counts
28 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* N (+ N 1.0))
0.3b
(atan2 1.0 (+ 1 (* N (+ N 1.0))))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
3×associate-*l*
2×associate-*r/ add-log-exp
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 30
Calls
2 calls:
6.0ms
(* N (+ N 1.0))
1.0ms
(atan2 1.0 (+ 1 (* N (+ N 1.0))))

series7.0ms

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

simplify59.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04980272
14980272

prune63.0ms

Filtered
26 candidates to 36 candidates (-38.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New31536
Fresh101
Picked011
Done011
Total32739

Merged error: 0.3b

Counts
39 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt N) (cbrt N))
0.5b
(cbrt N)
0.5b
(cbrt N)
0.5b
(cbrt N)

rewrite11.0ms

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:
5.0ms
(* (cbrt N) (cbrt N))
1.0ms
(cbrt N)
1.0ms
(cbrt N)
1.0ms
(cbrt N)

series92.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt N) (cbrt N))
21.0ms
(cbrt N)
22.0ms
(cbrt N)
25.0ms
(cbrt N)

simplify38.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05084341

prune86.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh134
Picked011
Done022
Total85792

Merged error: 0.3b

Counts
92 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))
0.3b
(atan2 1.0 (+ 1 (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))))
0.5b
(cbrt N)
30.1b
(cbrt (* N N))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
5×cbrt-prod
4×associate-*l* add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×pow1/3 associate-*r/ associate-*l/
1×flip3-+ associate-*r* *-commutative flip-+
Counts
4 → 48
Calls
4 calls:
8.0ms
(* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))
1.0ms
(atan2 1.0 (+ 1 (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))))
1.0ms
(cbrt N)
2.0ms
(cbrt (* N N))

series56.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))
3.0ms
(atan2 1.0 (+ 1 (* (cbrt (* N N)) (* (+ 1.0 N) (cbrt N)))))
21.0ms
(cbrt N)
23.0ms
(cbrt (* N N))

simplify87.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
04938371
14938371

prune70.0ms

Filtered
44 candidates to 60 candidates (-36.4%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New60060
Fresh033
Picked011
Done033
Total60767

Merged error: 0.3b

Counts
67 → 7

regimes82.0ms

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
0119
1119

end0.0ms

analyze1.0ms

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

sample803.0ms

Algorithm
intervals
Results
438.0ms2842×body1280valid
136.0ms4027×body80valid
83.0ms645×body640valid
31.0ms319×body320valid
12.0ms167×body160valid

Profiling

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