Details

Time bar (total: 7.3s)

sample99.0ms

Algorithm
intervals
Results
33.0ms84×body1280valid
18.0ms75×body640valid
15.0ms270×body80valid
8.0ms48×body320valid
4.0ms33×body160valid

simplify377.0ms

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: 16.6b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
6.3b
(- (exp l) (exp (- l)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity
4×add-log-exp
3×add-cube-cbrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-- associate-*r/ associate-*l/ flip--
1×sub-neg diff-log associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
2 → 34
Calls
2 calls:
9.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
5.0ms
(- (exp l) (exp (- l)))

series130.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
37.0ms
(- (exp l) (exp (- l)))

simplify131.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0226370
1853307
24646306
35002306

prune130.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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)))
0.1b
(* 1/3 (pow l 3))

rewrite37.0ms

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:
11.0ms
(+ (* (* 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))
12.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
6.0ms
(* 1/3 (pow l 3))

series744.0ms

Counts
4 → 12
Calls
4 calls:
485.0ms
(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
48.0ms
(* 1/60 (pow l 5))
169.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
42.0ms
(* 1/3 (pow l 3))

simplify69.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0465784
12234701
25003701

prune317.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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

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:
6.0ms
(* 1/60 (pow l 5))
11.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
10.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
6.0ms
(* 1/3 (pow l 3))

series336.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* 1/60 (pow l 5))
160.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
88.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
40.0ms
(* 1/3 (pow l 3))

simplify69.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0444856
12079731
25001731

prune338.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (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)))

rewrite11.0ms

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))))
1.0ms
(cbrt (cos (/ K 2.0)))
1.0ms
(cbrt (cos (/ K 2.0)))
1.0ms
(cbrt (cos (/ K 2.0)))

series724.0ms

Counts
4 → 12
Calls
4 calls:
291.0ms
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
142.0ms
(cbrt (cos (/ K 2.0)))
147.0ms
(cbrt (cos (/ K 2.0)))
144.0ms
(cbrt (cos (/ K 2.0)))

simplify76.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0131583
1426532
22037487
35001482

prune354.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes224.0ms

Accuracy

0% (0.0b 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
03012
13012

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.1s2694×body1280valid
644.0ms2495×body640valid
459.0ms8451×body80valid
253.0ms1440×body320valid
82.0ms743×body160valid