Details

Time bar (total: 8.3s)

sample143.0ms

Algorithm
intervals
Results
56.0ms105×body1280valid
25.0ms69×body640valid
25.0ms264×body80valid
11.0ms44×body320valid
5.0ms28×body160valid

simplify372.0ms

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: 17.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
0.2b
(* J (- (exp l) (exp (- l))))
5.0b
(- (exp l) (exp (- l)))

rewrite38.0ms

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:
0.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
27.0ms
(* J (- (exp l) (exp (- l))))
8.0ms
(- (exp l) (exp (- l)))

series258.0ms

Counts
3 → 9
Calls
3 calls:
166.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
57.0ms
(* J (- (exp l) (exp (- l))))
35.0ms
(- (exp l) (exp (- l)))

simplify40.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03181176
11096780
25001725

prune250.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
3×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
3 → 30
Calls
3 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)

series414.0ms

Counts
3 → 9
Calls
3 calls:
124.0ms
(fma 1/60 (pow l 5) (* 2 l))
58.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
231.0ms
(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

simplify46.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0111304
1337266
21488258
35003258

prune206.0ms

Pruning

10 alts after pruning (10 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)
0.2b
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

rewrite20.0ms

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)))
11.0ms
(+ (* (* 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)))

series721.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(fma 1/60 (pow l 5) (* 2 l))
59.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
380.0ms
(+ (* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0))) U)
161.0ms
(* (* 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
66 → 66
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0250651
11078572
25001556

prune263.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

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
(* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0))))
0.2b
(* (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)
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)))

series555.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
240.0ms
(+ (* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))) U)
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)))

simplify45.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0288841
11139734
25002733

prune285.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.2b

regimes344.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02410
12410

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.5s2660×body1280valid
993.0ms2582×body640valid
698.0ms8445×body80valid
374.0ms1462×body320valid
138.0ms802×body160valid