Details

Time bar (total: 7.7s)

sample94.0ms

Algorithm
intervals
Results
30.0ms80×body1280valid
18.0ms71×body640valid
17.0ms282×body80valid
6.0ms42×body320valid
2.0ms23×body160valid

simplify368.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* J (- (exp l) (exp (- l))))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
7.1b
(- (exp l) (exp (- l)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×associate-*r*
6×add-cube-cbrt
5×add-log-exp
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×diff-log unswap-sqr
Counts
3 → 60
Calls
3 calls:
22.0ms
(* J (- (exp l) (exp (- l))))
24.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
6.0ms
(- (exp l) (exp (- l)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* J (- (exp l) (exp (- l))))
89.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
34.0ms
(- (exp l) (exp (- l)))

simplify36.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0264566
11116481
25002475

prune195.0ms

Filtered
69 candidates to 47 candidates (68.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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

rewrite89.0ms

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:
35.0ms
(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
8.0ms
(* 1/60 (pow l 5))
36.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
6.0ms
(* 1/3 (pow l 3))

series571.0ms

Counts
4 → 12
Calls
4 calls:
325.0ms
(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
50.0ms
(* 1/60 (pow l 5))
161.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
35.0ms
(* 1/3 (pow l 3))

simplify65.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0465784
12234701
25003701

prune324.0ms

Filtered
99 candidates to 65 candidates (65.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
0.3b
(cbrt (cos (/ K 2.0)))
0.3b
(cbrt (cos (/ K 2.0)))
0.3b
(cbrt (cos (/ K 2.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
0.0ms
(cbrt (cos (/ K 2.0)))
0.0ms
(cbrt (cos (/ K 2.0)))
1.0ms
(cbrt (cos (/ K 2.0)))

series718.0ms

Counts
4 → 12
Calls
4 calls:
284.0ms
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
140.0ms
(cbrt (cos (/ K 2.0)))
147.0ms
(cbrt (cos (/ K 2.0)))
146.0ms
(cbrt (cos (/ K 2.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0131583
1426532
22037487
35001482

prune366.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (pow (pow (cos (* 0.5 K)) 2) 1/3))
0.2b
(* 1/3 (pow l 3))
0.3b
(cbrt (cos (/ K 2.0)))
0.3b
(pow (cos (* 0.5 K)) 2)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
24×associate-*r*
21×add-sqr-sqrt
18×unpow-prod-down prod-exp
14×add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×pow-exp
7×cbrt-unprod
6×pow-to-exp
5×pow1 sqr-pow
4×cube-prod associate-*l* add-log-exp unswap-sqr
3×cbrt-prod pow-unpow
2×unpow1/3 associate-*r/ associate-*l/ *-commutative unpow2
1×cube-mult pow-pow flip3-+ pow1/3 unpow3 flip-+
Counts
4 → 97
Calls
4 calls:
48.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (pow (pow (cos (* 0.5 K)) 2) 1/3))
6.0ms
(* 1/3 (pow l 3))
0.0ms
(cbrt (cos (/ K 2.0)))
2.0ms
(pow (cos (* 0.5 K)) 2)

series479.0ms

Counts
4 → 12
Calls
4 calls:
272.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (pow (pow (cos (* 0.5 K)) 2) 1/3))
34.0ms
(* 1/3 (pow l 3))
143.0ms
(cbrt (cos (/ K 2.0)))
29.0ms
(pow (cos (* 0.5 K)) 2)

simplify77.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0532929
12642776
25002773

prune446.0ms

Filtered
109 candidates to 65 candidates (59.6%)
Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes408.0ms

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

sample3.0s

Algorithm
intervals
Results
1.1s2646×body1280valid
661.0ms2623×body640valid
443.0ms8362×body80valid
234.0ms1391×body320valid
90.0ms815×body160valid