Details

Time bar (total: 23.0s)

sample202.0ms

Algorithm
intervals
Results
96.0ms94×body1280valid
25.0ms65×body640valid
24.0ms261×body80valid
12.0ms36×body320valid
10.0ms29×body160valid

simplify996.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

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)))

rewrite184.0ms

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:
76.0ms
(* J (- (exp l) (exp (- l))))
88.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
17.0ms
(- (exp l) (exp (- l)))

series306.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(* J (- (exp l) (exp (- l))))
159.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
58.0ms
(- (exp l) (exp (- l)))

simplify617.0ms

Counts
69 → 69

prune326.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))
0.0b
(* 1/60 (pow l 5))
0.1b
(* 1/3 (pow l 3))
0.1b
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

rewrite196.0ms

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:
26.0ms
(+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))
14.0ms
(* 1/60 (pow l 5))
27.0ms
(* 1/3 (pow l 3))
124.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

series522.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))
85.0ms
(* 1/60 (pow l 5))
59.0ms
(* 1/3 (pow l 3))
299.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

simplify1.1s

Counts
101 → 101

prune572.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 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))
0.1b
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

rewrite240.0ms

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:
24.0ms
(* 1/60 (pow l 5))
94.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
16.0ms
(* 1/3 (pow l 3))
99.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

series473.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* 1/60 (pow l 5))
214.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
56.0ms
(* 1/3 (pow l 3))
137.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

simplify1.1s

Counts
108 → 108

prune540.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 1/3 (pow l 3))
0.1b
(* 1/3 (pow l 3))
8.2b
(* J (* (- (* (* 1/3 (pow l 3)) (* 1/3 (pow l 3))) (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))
15.6b
(/ (* J (* (- (* (* 1/3 (pow l 3)) (* 1/3 (pow l 3))) (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))) (- (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))

rewrite669.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
28×add-exp-log
25×associate-*r*
22×add-cbrt-cube
15×add-cube-cbrt *-un-lft-identity
12×prod-exp
9×pow1 associate-*l*
8×unpow-prod-down cube-prod cbrt-unprod unswap-sqr
4×associate-*r/ associate-*l/ add-log-exp sqr-pow
3×cbrt-undiv flip3-- times-frac div-exp pow-prod-down associate-/r* *-commutative flip--
2×cube-mult pow-to-exp unpow3 pow-exp associate-/r/ associate-/l/
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 109
Calls
4 calls:
23.0ms
(* 1/3 (pow l 3))
13.0ms
(* 1/3 (pow l 3))
290.0ms
(* J (* (- (* (* 1/3 (pow l 3)) (* 1/3 (pow l 3))) (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))
338.0ms
(/ (* J (* (- (* (* 1/3 (pow l 3)) (* 1/3 (pow l 3))) (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))) (- (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))

series982.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* 1/3 (pow l 3))
67.0ms
(* 1/3 (pow l 3))
319.0ms
(* J (* (- (* (* 1/3 (pow l 3)) (* 1/3 (pow l 3))) (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))
548.0ms
(/ (* J (* (- (* (* 1/3 (pow l 3)) (* 1/3 (pow l 3))) (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))) (- (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))

simplify1.6s

Counts
121 → 121

prune683.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes337.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.9s

end0.0ms

sample8.3s

Algorithm
intervals
Results
2.3s2536×body640valid
2.2s2683×body1280valid
1.8s8378×body80valid
581.0ms1429×body320valid
334.0ms770×body160valid