Details

Time bar (total: 25.8s)

sample180.0ms

Algorithm
intervals
Results
63.0ms77×body1280valid
41.0ms101×body640valid
23.0ms265×body80valid
13.0ms48×body320valid
3.0ms18×body160valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01415
12315
24115
38215
419815
553715
6260715
done500115

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
0.2b
(* J (- (exp l) (exp (- l))))
6.5b
(- (exp l) (exp (- l)))

rewrite183.0ms

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:
64.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
89.0ms
(* J (- (exp l) (exp (- l))))
28.0ms
(- (exp l) (exp (- l)))

series336.0ms

Counts
3 → 9
Calls
3 calls:
180.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
108.0ms
(* J (- (exp l) (exp (- l))))
47.0ms
(- (exp l) (exp (- l)))

simplify1.0s

Counts
69 → 69
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0114899
1290874
21366748
done5001738

prune283.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

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

rewrite305.0ms

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:
142.0ms
(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
13.0ms
(* 1/60 (pow l 5))
131.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
13.0ms
(* 1/3 (pow l 3))

series579.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
71.0ms
(* 1/60 (pow l 5))
236.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
60.0ms
(* 1/3 (pow l 3))

simplify1.7s

Counts
110 → 110
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01841706
15121614
224541406
done50021397

prune568.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize39.0ms

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)))
0.2b
(* 1/3 (pow l 3))

rewrite233.0ms

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:
19.0ms
(* 1/60 (pow l 5))
101.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
94.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
17.0ms
(* 1/3 (pow l 3))

series509.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* 1/60 (pow l 5))
264.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
118.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
44.0ms
(* 1/3 (pow l 3))

simplify1.4s

Counts
108 → 108
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01811751
14781661
220731439
done50001432

prune537.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize31.0ms

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)))

rewrite45.0ms

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:
35.0ms
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
2.0ms
(cbrt (cos (/ K 2.0)))
2.0ms
(cbrt (cos (/ K 2.0)))
2.0ms
(cbrt (cos (/ K 2.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
440.0ms
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
199.0ms
(cbrt (cos (/ K 2.0)))
212.0ms
(cbrt (cos (/ K 2.0)))
209.0ms
(cbrt (cos (/ K 2.0)))

simplify6.2s

Counts
85 → 85
Iterations

Useful iterations: done (6.2s)

IterNodesCost
070982
1155897
2553825
33639742
done5000737

prune544.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes413.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02224
13024
done3024

end0.0ms

sample7.3s

Algorithm
intervals
Results
3.0s2574×body1280valid
1.5s2741×body640valid
993.0ms8166×body80valid
675.0ms1424×body320valid
154.0ms722×body160valid