Details

Time bar (total: 9.1s)

sample146.0ms

Algorithm
intervals
Results
50.0ms89×body1280valid
35.0ms94×body640valid
22.0ms278×body80valid
10.0ms41×body320valid
8.0ms25×body160valid

simplify362.0ms

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: 19.7b

localize13.0ms

Local error

Found 4 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)))
0.0b
(* J (- (exp l) (exp (- l))))
7.3b
(- (exp l) (exp (- l)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×associate-*r* add-log-exp
7×add-cube-cbrt
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 71
Calls
4 calls:
24.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
28.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
19.0ms
(* J (- (exp l) (exp (- l))))
6.0ms
(- (exp l) (exp (- l)))

series376.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
89.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
56.0ms
(* J (- (exp l) (exp (- l))))
35.0ms
(- (exp l) (exp (- l)))

simplify43.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0357755
11396660
25001654

prune246.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
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)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
25×associate-*r*
21×add-exp-log
15×add-cbrt-cube
14×add-cube-cbrt *-un-lft-identity
11×pow1
10×associate-*l* prod-exp
8×unpow-prod-down unswap-sqr
6×cbrt-unprod
4×cube-prod associate-*r/ pow-prod-down *-commutative add-log-exp sqr-pow
2×pow-to-exp flip3-+ associate-*l/ pow-exp flip-+
1×distribute-rgt-in cube-mult distribute-lft-in unpow3
Counts
4 → 98
Calls
4 calls:
30.0ms
(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
5.0ms
(* 1/60 (pow l 5))
6.0ms
(* 1/3 (pow l 3))
40.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

series381.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
45.0ms
(* 1/60 (pow l 5))
40.0ms
(* 1/3 (pow l 3))
160.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0464817
12375697
25001697

prune352.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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

rewrite77.0ms

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:
8.0ms
(* 1/60 (pow l 5))
29.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
6.0ms
(* 1/3 (pow l 3))
31.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

series343.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* 1/60 (pow l 5))
163.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
37.0ms
(* 1/3 (pow l 3))
89.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

simplify67.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0444856
12079731
25001731

prune482.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))) (cbrt (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))))
13.4b
(cbrt (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))))
13.4b
(cbrt (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))))
13.4b
(cbrt (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
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×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
14.0ms
(* (cbrt (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))) (cbrt (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))))
9.0ms
(cbrt (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))))
11.0ms
(cbrt (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))))
9.0ms
(cbrt (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
303.0ms
(* (cbrt (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))) (cbrt (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))))
270.0ms
(cbrt (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))))
272.0ms
(cbrt (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))))
271.0ms
(cbrt (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03621645
113281510
250021389

prune426.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes224.0ms

Accuracy

0% (0.3b 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

sample4.1s

Algorithm
intervals
Results
1.5s2654×body1280valid
952.0ms2580×body640valid
685.0ms8330×body80valid
371.0ms1416×body320valid
126.0ms744×body160valid