Details

Time bar (total: 7.8s)

sample108.0ms

Algorithm
intervals
Results
36.0ms91×body1280valid
25.0ms94×body640valid
16.0ms277×body80valid
7.0ms44×body320valid
3.0ms28×body160valid

simplify378.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0248
1448
2918
31958
43328
56528
612798
716948
849808
950018

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* J (- (exp l) (exp (- l))))
0.0b
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
5.5b
(- (exp l) (exp (- l)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
30×*-un-lft-identity
27×prod-diff
26×add-cube-cbrt
11×pow1 add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
8×associate-*r* add-log-exp
4×expm1-log1p-u associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×sub-neg flip3-- fma-neg flip--
2×associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×+-commutative fma-def flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 110
Calls
4 calls:
8.0ms
(* J (- (exp l) (exp (- l))))
10.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
9.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
6.0ms
(- (exp l) (exp (- l)))

series389.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* J (- (exp l) (exp (- l))))
208.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
92.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
36.0ms
(- (exp l) (exp (- l)))

simplify62.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04481507
117341074
250021037

prune315.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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)))

rewrite16.0ms

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:
4.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
5.0ms
(+ (* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0))) U)
1.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
5.0ms
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

series735.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
243.0ms
(+ (* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0))) U)
53.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
305.0ms
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0288798
11356696
25003696

prune293.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))
4.4b
(* J (* 1/3 (pow l 3)))

rewrite32.0ms

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:
9.0ms
(+ (* (+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0))) U)
9.0ms
(* (+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))
6.0ms
(* 1/3 (pow l 3))
6.0ms
(* J (* 1/3 (pow l 3)))

series560.0ms

Counts
4 → 12
Calls
4 calls:
295.0ms
(+ (* (+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0))) U)
168.0ms
(* (+ (* 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)))

simplify65.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0411821
11809739
25002736

prune401.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

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:
5.0ms
(+ (* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))) U)
1.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
5.0ms
(* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0))))
5.0ms
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))

series564.0ms

Counts
4 → 12
Calls
4 calls:
246.0ms
(+ (* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))) U)
60.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
170.0ms
(* 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)))

simplify46.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0288841
11139734
25002733

prune284.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes212.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02912
12912

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.1s2683×body1280valid
687.0ms2619×body640valid
484.0ms8504×body80valid
249.0ms1414×body320valid
91.0ms781×body160valid