Details

Time bar (total: 27.6s)

sample171.0ms

Algorithm
intervals
Results
51.0ms76×body1280valid
34.0ms81×body640valid
26.0ms277×body80valid
20.0ms50×body320valid
5.0ms27×body160valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01415
12315
24115
38215
419815
553715
6260715
done500115

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize31.0ms

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)))
5.7b
(- (exp l) (exp (- l)))

rewrite186.0ms

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:
54.0ms
(* J (- (exp l) (exp (- l))))
100.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
29.0ms
(- (exp l) (exp (- l)))

series258.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(* J (- (exp l) (exp (- l))))
120.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
62.0ms
(- (exp l) (exp (- l)))

simplify1.1s

Counts
69 → 69
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0114899
1288874
21360748
done5000738

prune325.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 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)))
0.1b
(* 1/3 (pow l 3))

rewrite225.0ms

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 add-log-exp
8×unpow-prod-down
7×associate-*l* unswap-sqr
5×cbrt-unprod
4×cube-prod sqr-pow
3×pow-prod-down sum-log *-commutative
2×pow-to-exp flip3-+ associate-*r/ associate-*l/ pow-exp flip-+
1×+-commutative cube-mult associate-+r+ unpow3
Counts
4 → 89
Calls
4 calls:
29.0ms
(+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))
12.0ms
(* 1/60 (pow l 5))
141.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
40.0ms
(* 1/3 (pow l 3))

series462.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))
99.0ms
(* 1/60 (pow l 5))
243.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
45.0ms
(* 1/3 (pow l 3))

simplify1.4s

Counts
101 → 101
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01731516
14761408
222181234
done50001229

prune597.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

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

rewrite414.0ms

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:
170.0ms
(+ (* (* J (+ (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))) (* 2 l))) (cos (/ K 2.0))) U)
12.0ms
(* 1/60 (pow l 5))
213.0ms
(* (* J (+ (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))) (* 2 l))) (cos (/ K 2.0)))
13.0ms
(* 1/3 (pow l 3))

series890.0ms

Counts
4 → 12
Calls
4 calls:
489.0ms
(+ (* (* J (+ (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))) (* 2 l))) (cos (/ K 2.0))) U)
98.0ms
(* 1/60 (pow l 5))
246.0ms
(* (* J (+ (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))) (* 2 l))) (cos (/ K 2.0)))
57.0ms
(* 1/3 (pow l 3))

simplify1.6s

Counts
99 → 99
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01811661
15091539
223431383
done50021382

prune622.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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)))

rewrite30.0ms

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:
15.0ms
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
1.0ms
(cbrt (cos (/ K 2.0)))
9.0ms
(cbrt (cos (/ K 2.0)))
1.0ms
(cbrt (cos (/ K 2.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
452.0ms
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
235.0ms
(cbrt (cos (/ K 2.0)))
246.0ms
(cbrt (cos (/ K 2.0)))
220.0ms
(cbrt (cos (/ K 2.0)))

simplify6.3s

Counts
85 → 85
Iterations

Useful iterations: done (6.3s)

IterNodesCost
070982
1155897
2553825
33639742
done5000737

prune545.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes546.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02224
13024
done3024

end0.0ms

sample8.3s

Algorithm
intervals
Results
3.4s2740×body1280valid
1.4s2561×body640valid
1.2s8516×body80valid
1.1s1524×body320valid
195.0ms741×body160valid