Details

Time bar (total: 7.7s)

sample100.0ms

Algorithm
intervals
Results
33.0ms73×body1280valid
23.0ms87×body640valid
14.0ms256×body80valid
8.0ms46×body320valid
2.0ms21×body160valid

simplify369.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0239
1419
2839
31739
42719
55339
610239
713959
843699
950029

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
5.3b
(- (exp l) (exp (- l)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-exp-log add-cbrt-cube
7×add-log-exp
6×add-sqr-sqrt *-un-lft-identity
4×add-cube-cbrt
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-- associate-*r/ associate-*l/ flip--
1×+-commutative sub-neg flip3-+ diff-log associate-*l* sum-log *-commutative flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 45
Calls
3 calls:
10.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
10.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
5.0ms
(- (exp l) (exp (- l)))

series334.0ms

Counts
3 → 9
Calls
3 calls:
203.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
92.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
40.0ms
(- (exp l) (exp (- l)))

simplify41.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0323559
11126486
25001485

prune180.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
0.1b
(* 1/60 (pow l 5))
0.1b
(* 1/3 (pow l 3))
0.2b
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×associate-*r*
19×add-exp-log
13×add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
9×pow1 prod-exp
8×unpow-prod-down
7×associate-*l* unswap-sqr
6×add-log-exp
5×cbrt-unprod
4×cube-prod sqr-pow
3×pow-prod-down *-commutative
2×pow-to-exp flip3-+ associate-*r/ associate-*l/ pow-exp flip-+
1×+-commutative cube-mult unpow3 sum-log
Counts
4 → 87
Calls
4 calls:
12.0ms
(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
5.0ms
(* 1/60 (pow l 5))
6.0ms
(* 1/3 (pow l 3))
12.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

series594.0ms

Counts
4 → 12
Calls
4 calls:
339.0ms
(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
52.0ms
(* 1/60 (pow l 5))
36.0ms
(* 1/3 (pow l 3))
167.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

simplify67.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0465795
12231707
25001707

prune324.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
23×associate-*r*
21×add-exp-log
15×add-cbrt-cube
14×add-cube-cbrt *-un-lft-identity
12×associate-*l*
11×pow1
10×prod-exp
8×unpow-prod-down unswap-sqr
6×cbrt-unprod
4×cube-prod pow-prod-down associate-*l/ *-commutative add-log-exp sqr-pow
2×pow-to-exp flip3-+ associate-*r/ pow-exp flip-+
1×cube-mult unpow3
Counts
4 → 96
Calls
4 calls:
5.0ms
(* 1/60 (pow l 5))
11.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
7.0ms
(* 1/3 (pow l 3))
10.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

series347.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* 1/60 (pow l 5))
162.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
42.0ms
(* 1/3 (pow l 3))
90.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

simplify66.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0444856
12079731
25001731

prune362.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))) (cbrt (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))))
0.6b
(cbrt (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
0.6b
(cbrt (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
0.6b
(cbrt (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
9.0ms
(* (cbrt (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))) (cbrt (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))))
8.0ms
(cbrt (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
8.0ms
(cbrt (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
8.0ms
(cbrt (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))

series871.0ms

Counts
4 → 12
Calls
4 calls:
245.0ms
(* (cbrt (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))) (cbrt (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))))
207.0ms
(cbrt (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
212.0ms
(cbrt (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
207.0ms
(cbrt (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))

simplify58.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03741898
113631735
250011611

prune465.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes222.0ms

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
03012
13012

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.1s2596×body1280valid
682.0ms2617×body640valid
461.0ms8270×body80valid
236.0ms1372×body320valid
83.0ms750×body160valid