Details

Time bar (total: 5.6s)

sample133.0ms

Algorithm
intervals
Results
49.0ms92×body1280valid
26.0ms81×body640valid
16.0ms234×body80valid
8.0ms41×body320valid
4.0ms26×body160valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
0481515
1481515

prune14.0ms

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: 18.3b

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)))
0.2b
(* J (- (exp l) (exp (neg l))))
4.2b
(- (exp l) (exp (neg l)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
9×associate-*r*
6×add-cube-cbrt
5×add-log-exp
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in sinh-undef associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
3 → 62
Calls
3 calls:
9.0ms
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
8.0ms
(* J (- (exp l) (exp (neg l))))
5.0ms
(- (exp l) (exp (neg l)))

series40.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
14.0ms
(* J (- (exp l) (exp (neg l))))
5.0ms
(- (exp l) (exp (neg l)))

simplify54.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05019736

prune93.0ms

Filtered
49 candidates to 71 candidates (-44.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New69271
Fresh101
Picked101
Done000
Total71273

Merged error: 0.1b

Counts
73 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh l)
0.1b
(* (* J (* 2 (sinh l))) (cos (/ K 2.0)))
0.2b
(* J (* 2 (sinh l)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*r/ associate-*r* associate-*l*
3×sinh-def add-log-exp
2×*-commutative
1×associate-*l/
Counts
3 → 49
Calls
3 calls:
1.0ms
(sinh l)
7.0ms
(* (* J (* 2 (sinh l))) (cos (/ K 2.0)))
5.0ms
(* J (* 2 (sinh l)))

series46.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh l)
25.0ms
(* (* J (* 2 (sinh l))) (cos (/ K 2.0)))
14.0ms
(* J (* 2 (sinh l)))

simplify36.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04972490
14972490

prune91.0ms

Filtered
38 candidates to 58 candidates (-52.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New55358
Fresh011
Picked011
Done000
Total55560

Merged error: 0b

Counts
60 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh l)
0.1b
(* (sinh l) (cos (/ K 2.0)))
0.3b
(* J (* 2 (* (sinh l) (cos (/ K 2.0)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
7×pow-prod-down prod-exp cbrt-unprod
6×add-cube-cbrt *-un-lft-identity associate-*l*
4×associate-*r*
3×sinh-def add-log-exp
2×associate-*r/ associate-*l/ *-commutative
1×unswap-sqr
Counts
3 → 49
Calls
3 calls:
1.0ms
(sinh l)
4.0ms
(* (sinh l) (cos (/ K 2.0)))
8.0ms
(* J (* 2 (* (sinh l) (cos (/ K 2.0)))))

series50.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh l)
15.0ms
(* (sinh l) (cos (/ K 2.0)))
27.0ms
(* J (* 2 (* (sinh l) (cos (/ K 2.0)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04944522
14944522

prune79.0ms

Filtered
39 candidates to 58 candidates (-48.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh033
Picked011
Done011
Total58563

Merged error: 0b

Counts
63 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos (/ K 2.0)))
0.3b
(cbrt (cos (/ K 2.0)))
0.3b
(cbrt (cos (/ K 2.0)))
0.4b
(* J (* 2 (* (sinh l) (* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0)))))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
16×add-cbrt-cube
10×pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×pow1/3 associate-*l*
2×associate-*r/
1×sinh-def associate-*r* associate-*l/ *-commutative
Counts
4 → 58
Calls
4 calls:
1.0ms
(cbrt (cos (/ K 2.0)))
1.0ms
(cbrt (cos (/ K 2.0)))
1.0ms
(cbrt (cos (/ K 2.0)))
14.0ms
(* J (* 2 (* (sinh l) (* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0)))))))

series99.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt (cos (/ K 2.0)))
18.0ms
(cbrt (cos (/ K 2.0)))
18.0ms
(cbrt (cos (/ K 2.0)))
43.0ms
(* J (* 2 (* (sinh l) (* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0)))))))

simplify38.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04950702
14950702

prune145.0ms

Filtered
49 candidates to 70 candidates (-42.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New70070
Fresh022
Picked011
Done022
Total70575

Merged error: 0b

Counts
75 → 5

regimes398.0ms

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

sample4.0s

Algorithm
intervals
Results
1.3s2702×body1280valid
847.0ms2672×body640valid
581.0ms8479×body80valid
323.0ms1462×body320valid
110.0ms731×body160valid

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