Details

Time bar (total: 8.3s)

sample102.0ms

Algorithm
intervals
Results
34.0ms79×body1280valid
23.0ms76×body640valid
16.0ms289×body80valid
6.0ms38×body320valid
3.0ms27×body160valid

simplify366.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0239
1419
2839
31739
42719
55339
610239
713959
843699
950029

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.4b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
0.0b
(* J (- (exp l) (exp (- l))))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
3.7b
(- (exp l) (exp (- l)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×associate-*r* add-log-exp
7×add-cube-cbrt
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 71
Calls
4 calls:
9.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
8.0ms
(* J (- (exp l) (exp (- l))))
10.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
5.0ms
(- (exp l) (exp (- l)))

series385.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
52.0ms
(* J (- (exp l) (exp (- l))))
90.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
38.0ms
(- (exp l) (exp (- l)))

simplify45.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0357755
11396660
25002654

prune245.0ms

Filtered
83 candidates to 59 candidates (71.1%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New82183
Fresh000
Picked101
Done000
Total83184

Merged error: 0.1b

Counts
84 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
0.0b
(* 1/60 (pow l 5))
0.1b
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
0.1b
(* 1/3 (pow l 3))

rewrite37.0ms

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 sqr-pow
3×pow-prod-down *-commutative
2×pow-to-exp flip3-+ associate-*r/ associate-*l/ pow-exp flip-+
1×+-commutative cube-mult unpow3 sum-log
Counts
4 → 87
Calls
4 calls:
11.0ms
(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
5.0ms
(* 1/60 (pow l 5))
11.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
6.0ms
(* 1/3 (pow l 3))

series587.0ms

Counts
4 → 12
Calls
4 calls:
334.0ms
(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
51.0ms
(* 1/60 (pow l 5))
166.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
35.0ms
(* 1/3 (pow l 3))

simplify69.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0465784
12234701
25003701

prune328.0ms

Filtered
99 candidates to 65 candidates (65.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New95499
Fresh000
Picked011
Done000
Total955100

Merged error: 0.0b

Counts
100 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/60 (pow l 5))
0.1b
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
0.1b
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
0.1b
(* 1/3 (pow l 3))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
23×associate-*r*
21×add-exp-log
15×add-cbrt-cube
14×add-cube-cbrt *-un-lft-identity
12×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
2×pow-to-exp flip3-+ associate-*r/ pow-exp flip-+
1×cube-mult unpow3
Counts
4 → 96
Calls
4 calls:
5.0ms
(* 1/60 (pow l 5))
11.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
10.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
6.0ms
(* 1/3 (pow l 3))

series340.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* 1/60 (pow l 5))
164.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
89.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
41.0ms
(* 1/3 (pow l 3))

simplify67.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0444856
12079731
25001731

prune362.0ms

Filtered
108 candidates to 69 candidates (63.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1053108
Fresh213
Picked011
Done011
Total1076113

Merged error: 0b

Counts
113 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 1/3 (pow l 3))
2.0b
(* J (* (pow l 6) 1/9))
6.5b
(* J (- (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l)))))
15.8b
(/ (* (cos (/ K 2.0)) (+ (* J (* (pow l 6) 1/9)) (* J (- (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l))))))) (- (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
22×add-sqr-sqrt
19×associate-*r*
18×add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity
12×associate-*r/ prod-exp
9×associate-*l*
8×pow1 distribute-neg-frac
7×flip3-+ flip-+
6×cbrt-unprod
5×unswap-sqr
4×distribute-rgt-in frac-times unpow-prod-down distribute-neg-in distribute-lft-in cube-prod add-log-exp
3×times-frac associate-/r* *-commutative
2×cbrt-undiv pow-to-exp div-exp pow-prod-down associate-*l/ pow-exp associate-/r/ associate-/l/ sqr-pow
1×distribute-lft-neg-in cube-mult neg-mul-1 flip3-- distribute-rgt-neg-in frac-2neg unpow3 clear-num distribute-rgt-neg-out flip-- div-inv associate-/l*
Counts
4 → 109
Calls
4 calls:
6.0ms
(* 1/3 (pow l 3))
6.0ms
(* J (* (pow l 6) 1/9))
8.0ms
(* J (- (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l)))))
15.0ms
(/ (* (cos (/ K 2.0)) (+ (* J (* (pow l 6) 1/9)) (* J (- (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l))))))) (- (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))

series1.2s

Counts
4 → 12
Calls
4 calls:
40.0ms
(* 1/3 (pow l 3))
103.0ms
(* J (* (pow l 6) 1/9))
409.0ms
(* J (- (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l)))))
622.0ms
(/ (* (cos (/ K 2.0)) (+ (* J (* (pow l 6) 1/9)) (* J (- (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l))))))) (- (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))

simplify135.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (119.0ms)

IterNodesCost
08111652
144161407
250021405

prune542.0ms

Filtered
121 candidates to 80 candidates (66.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1201121
Fresh123
Picked011
Done022
Total1216127

Merged error: 0b

Counts
127 → 6

regimes256.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03012
13012

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.1s2614×body1280valid
669.0ms2534×body640valid
473.0ms8479×body80valid
265.0ms1453×body320valid
83.0ms743×body160valid