Details

Time bar (total: 6.3s)

sample131.0ms

Algorithm
intervals
Results
40.0ms85×body1280valid
28.0ms94×body640valid
15.0ms233×body80valid
15.0ms44×body320valid
3.0ms22×body160valid

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
0111015
1111015

prune18.0ms

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: 17.7b

Counts
2 → 2

localize14.0ms

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)))
5.1b
(- (exp l) (exp (neg l)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×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×associate-*r/ *-commutative distribute-lft-out-- difference-of-squares
1×sub-neg diff-log unswap-sqr
Counts
3 → 56
Calls
3 calls:
11.0ms
(* 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:
22.0ms
(* J (* (- (exp l) (exp (neg l))) (cos (/ K 2.0))))
13.0ms
(* (- (exp l) (exp (neg l))) (cos (/ K 2.0)))
5.0ms
(- (exp l) (exp (neg l)))

simplify63.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05181787

prune115.0ms

Filtered
47 candidates to 65 candidates (-38.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New61465
Fresh101
Picked101
Done000
Total63467

Merged error: 0.1b

Counts
67 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/60 (pow l 5))
0.1b
(* 1/3 (pow l 3))
0.1b
(* J (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0))))
0.2b
(* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
23×associate-*r*
21×add-exp-log
19×*-un-lft-identity
15×add-cbrt-cube
14×add-cube-cbrt associate-*l*
11×pow1
10×prod-exp
8×unpow-prod-down unswap-sqr
6×cbrt-unprod
4×cube-prod pow-prod-down associate-*l/ *-commutative add-log-exp sqr-pow
3×distribute-lft-out
2×pow-to-exp flip3-+ associate-*r/ pow-exp flip-+
1×cube-mult unpow3
Counts
4 → 98
Calls
4 calls:
6.0ms
(* 1/60 (pow l 5))
7.0ms
(* 1/3 (pow l 3))
12.0ms
(* J (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0))))
11.0ms
(* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0)))

series67.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* 1/60 (pow l 5))
4.0ms
(* 1/3 (pow l 3))
42.0ms
(* J (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0))))
15.0ms
(* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
050231450

prune272.0ms

Filtered
71 candidates to 110 candidates (-54.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1019110
Fresh033
Picked101
Done000
Total10212114

Merged error: 0.0b

Counts
114 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/60 (pow l 5))
0.1b
(* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (* J (cos (/ K 2.0))))
0.1b
(* 1/3 (pow l 3))
0.1b
(* J (cos (/ K 2.0)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
23×associate-*r*
21×add-exp-log
19×*-un-lft-identity
15×add-cbrt-cube
14×add-cube-cbrt associate-*l*
11×pow1
10×prod-exp
8×unpow-prod-down unswap-sqr
6×cbrt-unprod
4×cube-prod pow-prod-down *-commutative add-log-exp sqr-pow
3×distribute-lft-out
2×pow-to-exp associate-*l/ pow-exp
1×cube-mult flip3-+ unpow3 flip-+
Counts
4 → 96
Calls
4 calls:
6.0ms
(* 1/60 (pow l 5))
12.0ms
(* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (* J (cos (/ K 2.0))))
7.0ms
(* 1/3 (pow l 3))
4.0ms
(* J (cos (/ K 2.0)))

series44.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* 1/60 (pow l 5))
28.0ms
(* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (* J (cos (/ K 2.0))))
4.0ms
(* 1/3 (pow l 3))
7.0ms
(* J (cos (/ K 2.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
050871099

prune269.0ms

Filtered
70 candidates to 108 candidates (-54.3%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1080108
Fresh01111
Picked011
Done000
Total10812120

Merged error: 0.0b

Counts
120 → 12

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) J) (cos (/ K 2.0))) U)
0.0b
(* 1/60 (pow l 5))
0.1b
(* 1/3 (pow l 3))
0.2b
(* (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) J) (cos (/ K 2.0)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×associate-*r*
19×add-exp-log
13×add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
9×pow1 prod-exp
8×unpow-prod-down
7×associate-*l* unswap-sqr
6×add-log-exp
5×cbrt-unprod
4×cube-prod associate-*l/ sqr-pow
3×pow-prod-down *-commutative
2×pow-to-exp flip3-+ pow-exp flip-+
1×+-commutative cube-mult unpow3 sum-log
Counts
4 → 87
Calls
4 calls:
13.0ms
(+ (* (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) J) (cos (/ K 2.0))) U)
6.0ms
(* 1/60 (pow l 5))
7.0ms
(* 1/3 (pow l 3))
13.0ms
(* (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) J) (cos (/ K 2.0)))

series80.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(+ (* (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) J) (cos (/ K 2.0))) U)
5.0ms
(* 1/60 (pow l 5))
4.0ms
(* 1/3 (pow l 3))
27.0ms
(* (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) J) (cos (/ K 2.0)))

simplify30.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
051031368

prune169.0ms

Filtered
63 candidates to 99 candidates (-57.1%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh01010
Picked011
Done011
Total9912111

Merged error: 0.0b

Counts
111 → 12

regimes773.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03224
13224

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.3s2738×body1280valid
800.0ms2614×body640valid
545.0ms8354×body80valid
310.0ms1462×body320valid
113.0ms752×body160valid

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