Details

Time bar (total: 8.6s)

sample145.0ms

Algorithm
intervals
Results
48.0ms87×body1280valid
32.0ms90×body640valid
27.0ms275×body80valid
11.0ms44×body320valid
5.0ms28×body160valid

simplify369.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
0.2b
(* J (- (exp l) (exp (- l))))
7.3b
(- (exp l) (exp (- l)))

rewrite61.0ms

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:
27.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
23.0ms
(* J (- (exp l) (exp (- l))))
7.0ms
(- (exp l) (exp (- l)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
56.0ms
(* J (- (exp l) (exp (- l))))
35.0ms
(- (exp l) (exp (- l)))

simplify46.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03481300
11396879
25001825

prune271.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
6×add-log-exp
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×fma-udef
1×+-commutative fma-def flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
4 → 54
Calls
4 calls:
0.0ms
(fma 1/60 (pow l 5) (* 2 l))
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))) U)
7.0ms
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

series580.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(fma 1/60 (pow l 5) (* 2 l))
57.0ms
(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)
165.0ms
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

simplify39.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0250651
11078572
25001556

prune292.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(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)
0.1b
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))
0.2b
(* J (* (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:
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)))) U)
3.0ms
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))
6.0ms
(* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0))))

series555.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(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)
89.0ms
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))
165.0ms
(* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0))))

simplify43.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0288841
11139734
25002733

prune332.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* associate-*l* fma-udef
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 50
Calls
4 calls:
0.0ms
(fma 1/60 (pow l 5) (* 2 l))
0.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
0.0ms
(fma J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0))) U)
3.0ms
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))

series507.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(fma 1/60 (pow l 5) (* 2 l))
59.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
234.0ms
(fma J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0))) U)
90.0ms
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))

simplify33.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0192556
1728483
25001468

prune263.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

regimes285.0ms

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
02410
12410

end0.0ms

sample4.5s

Algorithm
intervals
Results
1.6s2718×body1280valid
937.0ms2597×body640valid
868.0ms8531×body80valid
386.0ms1476×body320valid
132.0ms751×body160valid