Details

Time bar (total: 7.2s)

sample99.0ms

Algorithm
intervals
Results
30.0ms66×body1280valid
22.0ms88×body640valid
15.0ms287×body80valid
7.0ms43×body320valid
3.0ms24×body160valid

simplify372.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 14.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* J (- (exp l) (exp (- l))))
0.0b
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
6.7b
(- (exp l) (exp (- l)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
28×*-un-lft-identity
27×prod-diff
24×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×pow1 add-exp-log associate-*r* add-cbrt-cube add-log-exp
3×expm1-log1p-u sub-neg fma-neg associate-*l* log1p-expm1-u
2×flip3-- associate-*r/ flip-- distribute-lft-out-- difference-of-squares
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 84
Calls
3 calls:
27.0ms
(* J (- (exp l) (exp (- l))))
0.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
7.0ms
(- (exp l) (exp (- l)))

series390.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* J (- (exp l) (exp (- l))))
298.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
36.0ms
(- (exp l) (exp (- l)))

simplify43.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03181176
11096780
25001725

prune250.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×fma-udef
3×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 42
Calls
3 calls:
3.0ms
(* J (fma 1/3 (pow l 3) (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)

series433.0ms

Counts
3 → 9
Calls
3 calls:
136.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
58.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
238.0ms
(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

simplify109.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0176451
1760390
24093382
35001382

prune232.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

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))))
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)))

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))))
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)
7.0ms
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

series604.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
53.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
248.0ms
(+ (* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0))) U)
169.0ms
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0288798
11356696
25003696

prune294.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)))
0.1b
(* 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-*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))))

series553.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
237.0ms
(+ (* 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)))
167.0ms
(* 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 (34.0ms)

IterNodesCost
0288841
11139734
25002733

prune271.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes226.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0219
1219

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.1s2727×body1280valid
655.0ms2548×body640valid
460.0ms8435×body80valid
244.0ms1381×body320valid
88.0ms769×body160valid