Details

Time bar (total: 30.2s)

sample276.0ms

Algorithm
intervals
Results
113.0ms86×body1280valid
56.0ms71×body640valid
44.0ms254×body80valid
24.0ms42×body320valid
10.0ms29×body160valid

simplify4.2s

Counts
1 → 1

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.0b

localize62.0ms

Local error

Found 3 expressions with local error:

6.0b
(- (exp l) (exp (- l)))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b
(* J (- (exp l) (exp (- l))))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
8×associate-*r*
6×add-cube-cbrt
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
3×sub-neg flip3-- insert-posit16 flip--
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
3 → 63
Calls
3 calls:
Slowest
86.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
63.0ms
(* J (- (exp l) (exp (- l))))
19.0ms
(- (exp l) (exp (- l)))

series278.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
165.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
68.0ms
(* J (- (exp l) (exp (- l))))
44.0ms
(- (exp l) (exp (- l)))

simplify1.0s

Counts
72 → 72

prune1.3s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 1/3 (* l l))
0.1b
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
0.1b
(* (pow l 5) 1/60)
0.0b
(* J (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2))))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
19×add-sqr-sqrt
18×add-cbrt-cube
16×pow1
14×associate-*l*
11×*-un-lft-identity add-cube-cbrt
10×associate-*r* prod-exp
8×cbrt-unprod
7×pow-prod-down
5×unswap-sqr
4×unpow-prod-down associate-*r/ *-commutative insert-posit16 add-log-exp
2×flip3-+ associate-*l/ flip-+ sqr-pow
1×distribute-rgt-in pow-to-exp distribute-lft-in pow-exp
Counts
4 → 90
Calls
4 calls:
Slowest
78.0ms
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
38.0ms
(* J (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2))))
16.0ms
(* 1/3 (* l l))
16.0ms
(* (pow l 5) 1/60)

series478.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
207.0ms
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
144.0ms
(* J (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2))))
75.0ms
(* (pow l 5) 1/60)
52.0ms
(* 1/3 (* l l))

simplify539.0ms

Counts
102 → 102

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos (/ K 2)))
0.3b
(cbrt (cos (/ K 2)))
0.3b
(cbrt (cos (/ K 2)))
0.2b
(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 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 → 77
Calls
4 calls:
Slowest
13.0ms
(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))
1.0ms
(cbrt (cos (/ K 2)))
1.0ms
(cbrt (cos (/ K 2)))
1.0ms
(cbrt (cos (/ K 2)))

series589.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
193.0ms
(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))
147.0ms
(cbrt (cos (/ K 2)))
140.0ms
(cbrt (cos (/ K 2)))
108.0ms
(cbrt (cos (/ K 2)))

simplify2.6s

Counts
89 → 89

prune1.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize101.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cbrt (cos (/ K 2))))
0.3b
(cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
0.3b
(cbrt (cos (/ K 2)))
0.3b
(cbrt (cos (/ K 2)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 49
Calls
4 calls:
Slowest
8.0ms
(cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
2.0ms
(cbrt (cbrt (cos (/ K 2))))
1.0ms
(cbrt (cos (/ K 2)))
1.0ms
(cbrt (cos (/ K 2)))

series896.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
455.0ms
(cbrt (cbrt (cos (/ K 2))))
165.0ms
(cbrt (cos (/ K 2)))
161.0ms
(cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
116.0ms
(cbrt (cos (/ K 2)))

simplify1.2s

Counts
61 → 61

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes601.0ms

Accuracy

0% (0.0b remaining)

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

bsearch7.0ms

end0.0ms

sample10.4s

Algorithm
intervals
Results
3.8s2765×body1280valid
2.5s8496×body80valid
2.3s2508×body640valid
832.0ms1450×body320valid
297.0ms765×body160valid