Details

Time bar (total: 7.5s)

sample97.0ms

Algorithm
intervals
Results
33.0ms81×body1280valid
20.0ms80×body640valid
13.0ms247×body80valid
7.0ms41×body320valid
3.0ms23×body160valid

simplify373.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0248
1448
2918
31958
43328
56528
612798
716948
849808
950018

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(* J (- (exp l) (exp (- l))))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
6.1b
(- (exp l) (exp (- l)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
29×*-un-lft-identity
27×prod-diff
25×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
10×pow1 add-exp-log add-cbrt-cube
8×associate-*r*
5×add-log-exp
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u sub-neg flip3-- fma-neg flip-- log1p-expm1-u
2×associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
3 → 96
Calls
3 calls:
23.0ms
(* J (- (exp l) (exp (- l))))
26.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
8.0ms
(- (exp l) (exp (- l)))

series186.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* J (- (exp l) (exp (- l))))
93.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
40.0ms
(- (exp l) (exp (- l)))

simplify51.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03481300
11396879
25001825

prune258.0ms

Filtered
105 candidates to 58 candidates (55.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*r* add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×fma-udef
2×*-commutative
1×+-commutative distribute-rgt-in fma-def distribute-lft-in flip3-+ sum-log flip-+ unswap-sqr
Counts
4 → 66
Calls
4 calls:
3.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
7.0ms
(+ (* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0))) U)
0.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
7.0ms
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

series605.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
239.0ms
(+ (* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0))) U)
59.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
168.0ms
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0288798
11356696
25003696

prune314.0ms

Filtered
78 candidates to 57 candidates (73.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0))) U)
0.1b
(* (+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))
0.1b
(* 1/3 (pow l 3))
6.6b
(* J (* 1/3 (pow l 3)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
20×add-sqr-sqrt
16×associate-*r*
13×add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity prod-exp
10×associate-*l*
8×pow1
6×add-log-exp
5×cbrt-unprod unswap-sqr
4×expm1-log1p-u unpow-prod-down cube-prod log1p-expm1-u
3×*-commutative
2×pow-to-exp flip3-+ pow-prod-down associate-*l/ pow-exp flip-+ sqr-pow
1×+-commutative cube-mult fma-def unpow3 sum-log distribute-lft-out
Counts
4 → 91
Calls
4 calls:
11.0ms
(+ (* (+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0))) U)
29.0ms
(* (+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))
7.0ms
(* 1/3 (pow l 3))
9.0ms
(* J (* 1/3 (pow l 3)))

series551.0ms

Counts
4 → 12
Calls
4 calls:
286.0ms
(+ (* (+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0))) U)
169.0ms
(* (+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))
36.0ms
(* 1/3 (pow l 3))
61.0ms
(* J (* 1/3 (pow l 3)))

simplify70.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0411821
11809739
25002736

prune416.0ms

Filtered
103 candidates to 76 candidates (73.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*l* add-log-exp
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×*-commutative
1×+-commutative fma-def flip3-+ sum-log flip-+ fma-udef unswap-sqr
Counts
4 → 64
Calls
4 calls:
6.0ms
(+ (* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))) U)
0.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
6.0ms
(* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0))))
3.0ms
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))

series559.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(+ (* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))) U)
59.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
168.0ms
(* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0))))
88.0ms
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0288841
11139734
25002733

prune285.0ms

Filtered
76 candidates to 57 candidates (75.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes294.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02912
12912

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.2s2685×body1280valid
683.0ms2558×body640valid
469.0ms8265×body80valid
254.0ms1441×body320valid
94.0ms800×body160valid