Details

Time bar (total: 19.1s)

sample192.0ms

Algorithm
intervals
Results
69.0ms100×body1280valid
36.0ms68×body640valid
25.0ms264×body80valid
16.0ms58×body320valid
4.0ms23×body160valid

simplify2.0s

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize40.0ms

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))))
5.2b
(- (exp l) (exp (- l)))

rewrite159.0ms

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:
69.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
53.0ms
(* J (- (exp l) (exp (- l))))
33.0ms
(- (exp l) (exp (- l)))

series246.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
79.0ms
(* J (- (exp l) (exp (- l))))
54.0ms
(- (exp l) (exp (- l)))

simplify1.3s

Counts
105 → 105
Iterations
IterNodes
done5001
22020
1397
0167

prune535.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-cbrt-cube add-exp-log
7×add-sqr-sqrt
6×associate-*r*
5×*-un-lft-identity add-cube-cbrt
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u *-commutative fma-udef log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in unswap-sqr
Counts
2 → 42
Calls
2 calls:
9.0ms
(* J (fma (pow l 3) 1/3 (fma 1/60 (pow l 5) (* l 2))))
20.0ms
(* (* J (fma (pow l 3) 1/3 (fma 1/60 (pow l 5) (* l 2)))) (cos (/ K 2.0)))

series440.0ms

Counts
2 → 6
Calls
2 calls:
191.0ms
(* J (fma (pow l 3) 1/3 (fma 1/60 (pow l 5) (* l 2))))
249.0ms
(* (* J (fma (pow l 3) 1/3 (fma 1/60 (pow l 5) (* l 2)))) (cos (/ K 2.0)))

simplify726.0ms

Counts
48 → 48
Iterations
IterNodes
done5000
21036
1223
091

prune441.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 2 l (* (pow l 5) 1/60))
0.0b
(* (pow l 5) 1/60)
0.1b
(* J (* (fma 1/3 (pow l 3) (fma 2 l (* (pow l 5) 1/60))) (cos (/ K 2.0))))
0.2b
(* (fma 1/3 (pow l 3) (fma 2 l (* (pow l 5) 1/60))) (cos (/ K 2.0)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log
13×add-cbrt-cube associate-*l*
11×pow1
10×*-un-lft-identity add-cube-cbrt
7×associate-*r* prod-exp
5×cbrt-unprod
4×expm1-log1p-u unpow-prod-down pow-prod-down log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative
2×sqr-pow
1×pow-to-exp pow-exp fma-udef
Counts
4 → 77
Calls
4 calls:
0.0ms
(fma 2 l (* (pow l 5) 1/60))
19.0ms
(* (pow l 5) 1/60)
28.0ms
(* J (* (fma 1/3 (pow l 3) (fma 2 l (* (pow l 5) 1/60))) (cos (/ K 2.0))))
22.0ms
(* (fma 1/3 (pow l 3) (fma 2 l (* (pow l 5) 1/60))) (cos (/ K 2.0)))

series648.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(fma 2 l (* (pow l 5) 1/60))
69.0ms
(* (pow l 5) 1/60)
239.0ms
(* J (* (fma 1/3 (pow l 3) (fma 2 l (* (pow l 5) 1/60))) (cos (/ K 2.0))))
130.0ms
(* (fma 1/3 (pow l 3) (fma 2 l (* (pow l 5) 1/60))) (cos (/ K 2.0)))

simplify794.0ms

Counts
89 → 89
Iterations
IterNodes
done5001
21247
1320
0147

prune808.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize44.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-cbrt-cube add-exp-log
7×add-sqr-sqrt
6×associate-*r*
5×*-un-lft-identity add-cube-cbrt
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u *-commutative fma-udef log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in unswap-sqr
Counts
2 → 42
Calls
2 calls:
21.0ms
(* (* J (cos (/ K 2.0))) (fma 1/3 (pow l 3) (fma (pow l 5) 1/60 (* l 2))))
7.0ms
(* J (cos (/ K 2.0)))

series480.0ms

Counts
2 → 6
Calls
2 calls:
425.0ms
(* (* J (cos (/ K 2.0))) (fma 1/3 (pow l 3) (fma (pow l 5) 1/60 (* l 2))))
55.0ms
(* J (cos (/ K 2.0)))

simplify838.0ms

Counts
48 → 48
Iterations
IterNodes
done5000
21189
1226
091

prune382.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.3b

regimes478.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done30
230
129
022

end0.0ms

sample8.4s

Algorithm
intervals
Results
3.4s2743×body1280valid
1.6s2607×body640valid
1.2s8444×body80valid
998.0ms1409×body320valid
159.0ms753×body160valid