Details

Time bar (total: 8.1s)

analyze484.0ms

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

sample211.0ms

Algorithm
intervals
Results
26.0ms45×body1280valid
14.0ms43×body640valid
8.0ms129×body80valid
5.0ms25×body320valid
2.0ms14×body160valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
0481515
1481515

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 18.6b

Counts
2 → 1

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0))) U)
0.1b
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
59.2b
(- (exp l) (exp (neg l)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-exp-log add-cbrt-cube
7×add-log-exp
6×add-sqr-sqrt *-un-lft-identity
4×add-cube-cbrt
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-- associate-*r/ associate-*l/ flip--
1×+-commutative sub-neg flip3-+ sinh-undef diff-log associate-*l* sum-log *-commutative flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 45
Calls
3 calls:
10.0ms
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0))) U)
9.0ms
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
5.0ms
(- (exp l) (exp (neg l)))

series80.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0))) U)
23.0ms
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
6.0ms
(- (exp l) (exp (neg l)))

simplify30.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
04933746
14933746

prune79.0ms

Filtered
42 candidates to 54 candidates (-28.6%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New53154
Fresh000
Picked101
Done000
Total54155

Merged error: 0.1b

Counts
55 → 1

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r*
2×associate-*r/
1×+-commutative sinh-def flip3-+ associate-*l* associate-*l/ sum-log *-commutative flip-+
Counts
2 → 33
Calls
2 calls:
11.0ms
(+ (* (* J (* 2 (sinh l))) (cos (/ K 2.0))) U)
7.0ms
(* (* J (* 2 (sinh l))) (cos (/ K 2.0)))

series75.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ (* (* J (* 2 (sinh l))) (cos (/ K 2.0))) U)
27.0ms
(* (* J (* 2 (sinh l))) (cos (/ K 2.0)))

simplify29.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
05623534

prune69.0ms

Filtered
27 candidates to 39 candidates (-44.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0.0b

Counts
40 → 4

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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*
5×add-log-exp
4×associate-*r*
2×sinh-def associate-*r/ associate-*l/ *-commutative
1×+-commutative flip3-+ sum-log flip-+ unswap-sqr
Counts
3 → 52
Calls
3 calls:
8.0ms
(+ (* J (* 2 (* (sinh l) (cos (/ K 2.0))))) U)
4.0ms
(* (sinh l) (cos (/ K 2.0)))
8.0ms
(* J (* 2 (* (sinh l) (cos (/ K 2.0)))))

series94.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ (* J (* 2 (* (sinh l) (cos (/ K 2.0))))) U)
17.0ms
(* (sinh l) (cos (/ K 2.0)))
27.0ms
(* J (* 2 (* (sinh l) (cos (/ K 2.0)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04988728
14988728

prune90.0ms

Filtered
41 candidates to 61 candidates (-48.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New60161
Fresh022
Picked011
Done011
Total60565

Merged error: 0.0b

Counts
65 → 5

localize27.0ms

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:
6.0ms
(* (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)))

series87.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
19.0ms
(cbrt (cos (/ K 2.0)))
19.0ms
(cbrt (cos (/ K 2.0)))
19.0ms
(cbrt (cos (/ K 2.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04927671
14927671

prune166.0ms

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

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New83285
Fresh022
Picked011
Done022
Total83790

Merged error: 0b

Counts
90 → 7

regimes473.0ms

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 (1.0ms)

IterNodesCost
01713
11713

end0.0ms

sample5.8s

Algorithm
intervals
Results
664.0ms1153×body1280valid
463.0ms1388×body640valid
258.0ms4203×body80valid
170.0ms794×body320valid
63.0ms462×body160valid

Profiling

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