Details

Time bar (total: 5.4s)

analyze495.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
49.9%49.9%0.2%2
49.9%49.9%0.2%3
49.9%49.9%0.2%4
49.9%49.9%0.2%5
49.9%49.9%0.2%6
49.9%49.9%0.2%7
53%46.8%0.2%8
57.7%42.1%0.2%9
61.6%38.2%0.2%10
63.5%30%6.4%11
63.5%30%6.4%12
67.6%25.9%6.4%13
68.9%24.7%6.4%14

sample114.0ms

Algorithm
intervals
Results
20.0ms30×body1280valid
20.0ms52×body1280invalid
16.0ms50×body640valid
11.0ms40×body640invalid
9.0ms144×body80valid
7.0ms98×body80invalid
4.0ms23×body320invalid
4.0ms20×body320valid
2.0ms12×body160valid
1.0ms10×body160invalid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
0481515
1481515

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.8b

Counts
2 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* J (* (- (exp l) (exp (neg l))) (cos (/ K 2.0))))
0.0b
(* (- (exp l) (exp (neg l))) (cos (/ K 2.0)))
4.4b
(- (exp l) (exp (neg l)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
9×associate-*l*
6×add-cube-cbrt
5×add-log-exp
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
3×flip3-- flip--
2×sinh-undef associate-*r/ *-commutative distribute-lft-out-- difference-of-squares
1×sub-neg diff-log unswap-sqr
Counts
3 → 57
Calls
3 calls:
9.0ms
(* J (* (- (exp l) (exp (neg l))) (cos (/ K 2.0))))
8.0ms
(* (- (exp l) (exp (neg l))) (cos (/ K 2.0)))
5.0ms
(- (exp l) (exp (neg l)))

series41.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(* J (* (- (exp l) (exp (neg l))) (cos (/ K 2.0))))
12.0ms
(* (- (exp l) (exp (neg l))) (cos (/ K 2.0)))
5.0ms
(- (exp l) (exp (neg l)))

simplify40.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05038786

prune86.0ms

Filtered
49 candidates to 66 candidates (-34.7%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New65166
Fresh101
Picked101
Done000
Total67168

Merged error: 0.1b

Counts
68 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b
(* J (* (* 2 (sinh l)) (cos (/ K 2.0))))
0.1b
(* (* 2 (sinh l)) (cos (/ K 2.0)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
3×associate-*r/
2×sinh-def associate-*l/ *-commutative add-log-exp
Counts
2 → 41
Calls
2 calls:
8.0ms
(* J (* (* 2 (sinh l)) (cos (/ K 2.0))))
5.0ms
(* (* 2 (sinh l)) (cos (/ K 2.0)))

series40.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* J (* (* 2 (sinh l)) (cos (/ K 2.0))))
16.0ms
(* (* 2 (sinh l)) (cos (/ K 2.0)))

simplify34.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05026506

prune80.0ms

Filtered
31 candidates to 47 candidates (-51.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New43447
Fresh000
Picked011
Done000
Total43548

Merged error: 0.0b

Counts
48 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2 (* (sinh l) J))
0.1b
(* (* 2 (* (sinh l) J)) (cos (/ K 2.0)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
3×associate-*l/
2×sinh-def associate-*r/ *-commutative add-log-exp
Counts
2 → 41
Calls
2 calls:
5.0ms
(* 2 (* (sinh l) J))
8.0ms
(* (* 2 (* (sinh l) J)) (cos (/ K 2.0)))

series41.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* 2 (* (sinh l) J))
25.0ms
(* (* 2 (* (sinh l) J)) (cos (/ K 2.0)))

simplify32.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05297442

prune68.0ms

Filtered
28 candidates to 47 candidates (-67.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New46147
Fresh033
Picked011
Done011
Total46652

Merged error: 0b

Counts
52 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
0.3b
(cbrt (cos (/ K 2.0)))
0.3b
(cbrt (cos (/ K 2.0)))
0.3b
(cbrt (cos (/ K 2.0)))

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 (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
1.0ms
(cbrt (cos (/ K 2.0)))
1.0ms
(cbrt (cos (/ K 2.0)))
1.0ms
(cbrt (cos (/ K 2.0)))

series78.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
19.0ms
(cbrt (cos (/ K 2.0)))
16.0ms
(cbrt (cos (/ K 2.0)))
17.0ms
(cbrt (cos (/ K 2.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04927671
14927671

prune156.0ms

Filtered
54 candidates to 85 candidates (-57.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done022
Total85691

Merged error: 0b

Counts
91 → 6

regimes401.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01713
11713

end0.0ms

sample3.5s

Algorithm
intervals
Results
702.0ms1197×body1280valid
591.0ms1491×body1280invalid
462.0ms1372×body640valid
329.0ms1195×body640invalid
285.0ms4149×body80valid
220.0ms3155×body80invalid
184.0ms844×body320valid
125.0ms623×body320invalid
63.0ms438×body160valid
40.0ms301×body160invalid

Profiling

Loading profile data...