Details

Time bar (total: 26.1s)

sample253.0ms

Algorithm
intervals
Results
83.0ms77×body640valid
59.0ms79×body1280valid
30.0ms280×body80valid
16.0ms48×body320valid
6.0ms24×body160valid

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done5000
62946
5605
4222
391
245
124
014

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize40.0ms

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)))
5.9b
(- (exp l) (exp (- l)))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
29×*-un-lft-identity
27×prod-diff
25×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
10×pow1 add-cbrt-cube add-exp-log
8×associate-*r*
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
3×expm1-log1p-u sub-neg flip3-- fma-neg log1p-expm1-u flip--
2×associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
3 → 96
Calls
3 calls:
85.0ms
(* J (- (exp l) (exp (- l))))
80.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
28.0ms
(- (exp l) (exp (- l)))

series302.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(* J (- (exp l) (exp (- l))))
144.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
51.0ms
(- (exp l) (exp (- l)))

simplify1.8s

Counts
105 → 105
Iterations
IterNodes
done5000
22023
1397
0167

prune852.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1/60 (pow l 5) (+ l l))
0.0b
(+ (* (* J (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l)))) (cos (/ K 2.0))) U)
0.1b
(* (* J (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l)))) (cos (/ K 2.0)))
0.2b
(* (* l l) 1/3)

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-cbrt-cube add-exp-log
7×add-sqr-sqrt
6×*-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod add-log-exp
4×expm1-log1p-u log1p-expm1-u
2×associate-*l* *-commutative
1×+-commutative sum-log fma-def flip3-+ flip-+ fma-udef unswap-sqr
Counts
4 → 65
Calls
4 calls:
1.0ms
(fma 1/60 (pow l 5) (+ l l))
29.0ms
(+ (* (* J (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l)))) (cos (/ K 2.0))) U)
30.0ms
(* (* J (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l)))) (cos (/ K 2.0)))
37.0ms
(* (* l l) 1/3)

series884.0ms

Counts
4 → 12
Calls
4 calls:
224.0ms
(fma 1/60 (pow l 5) (+ l l))
363.0ms
(+ (* (* J (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l)))) (cos (/ K 2.0))) U)
263.0ms
(* (* J (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l)))) (cos (/ K 2.0)))
33.0ms
(* (* l l) 1/3)

simplify1.9s

Counts
77 → 77
Iterations
IterNodes
done5000
21921
1351
0136

prune655.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* J (* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0)))) U)
0.1b
(* J (* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0))))
0.1b
(* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0)))
0.2b
(* (* l l) 1/3)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
11×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×associate-*r* associate-*l* pow-prod-down prod-exp cbrt-unprod
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×*-commutative
2×unswap-sqr
1×+-commutative sum-log fma-def flip3-+ flip-+
Counts
4 → 75
Calls
4 calls:
21.0ms
(+ (* J (* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0)))) U)
21.0ms
(* J (* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0))))
7.0ms
(* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0)))
17.0ms
(* (* l l) 1/3)

series870.0ms

Counts
4 → 12
Calls
4 calls:
363.0ms
(+ (* J (* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0)))) U)
307.0ms
(* J (* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0))))
150.0ms
(* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0)))
50.0ms
(* (* l l) 1/3)

simplify2.0s

Counts
87 → 87
Iterations
IterNodes
done5000
21880
1384
0151

prune850.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1/60 (pow l 5) (+ l l))
0.0b
(fma J (* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0))) U)
0.1b
(* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0)))
0.2b
(* (* l l) 1/3)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-cbrt-cube add-exp-log
10×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×associate-*r*
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative fma-udef unswap-sqr
Counts
4 → 61
Calls
4 calls:
1.0ms
(fma 1/60 (pow l 5) (+ l l))
1.0ms
(fma J (* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0))) U)
15.0ms
(* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0)))
30.0ms
(* (* l l) 1/3)

series1.2s

Counts
4 → 12
Calls
4 calls:
199.0ms
(fma 1/60 (pow l 5) (+ l l))
372.0ms
(fma J (* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0))) U)
531.0ms
(* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0)))
50.0ms
(* (* l l) 1/3)

simplify1.7s

Counts
73 → 73
Iterations
IterNodes
done5000
21496
1295
0131

prune642.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes782.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done20
120
018

end0.0ms

sample8.6s

Algorithm
intervals
Results
2.5s2698×body640valid
2.3s2726×body1280valid
1.3s8322×body80valid
1.0s1438×body320valid
255.0ms762×body160valid