Details

Time bar (total: 26.1s)

sample222.0ms

Algorithm
intervals
Results
70.0ms79×body1280valid
45.0ms77×body640valid
41.0ms280×body80valid
18.0ms48×body320valid
6.0ms24×body160valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 5 (199.0ms)

IterNodesCost
014445
124420
245351
391351
4222351
5605350
62946350
done5000350

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize45.0ms

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)))

rewrite209.0ms

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:
81.0ms
(* J (- (exp l) (exp (- l))))
91.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
32.0ms
(- (exp l) (exp (- l)))

series322.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(* J (- (exp l) (exp (- l))))
173.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
72.0ms
(- (exp l) (exp (- l)))

simplify2.2s

Counts
105 → 105
Iterations

Useful iterations: done (2.2s)

IterNodesCost
016749154
139745213
2202333251
done500028820

prune771.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

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)

rewrite97.0ms

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:
0.0ms
(fma 1/60 (pow l 5) (+ l l))
28.0ms
(+ (* (* J (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l)))) (cos (/ K 2.0))) U)
37.0ms
(* (* J (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l)))) (cos (/ K 2.0)))
29.0ms
(* (* l l) 1/3)

series860.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(fma 1/60 (pow l 5) (+ l l))
398.0ms
(+ (* (* J (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l)))) (cos (/ K 2.0))) U)
234.0ms
(* (* J (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l)))) (cos (/ K 2.0)))
40.0ms
(* (* l l) 1/3)

simplify2.2s

Counts
77 → 77
Iterations

Useful iterations: 2 (603.0ms)

IterNodesCost
013636141
135133731
2192133358
done500033358

prune725.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize60.0ms

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)

rewrite82.0ms

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:
15.0ms
(+ (* J (* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0)))) U)
23.0ms
(* J (* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0))))
14.0ms
(* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0)))
29.0ms
(* (* l l) 1/3)

series847.0ms

Counts
4 → 12
Calls
4 calls:
366.0ms
(+ (* J (* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0)))) U)
257.0ms
(* J (* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0))))
175.0ms
(* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0)))
49.0ms
(* (* l l) 1/3)

simplify2.2s

Counts
87 → 87
Iterations

Useful iterations: 2 (637.0ms)

IterNodesCost
015146553
138443511
2188043020
done500043020

prune679.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize61.0ms

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)

rewrite45.0ms

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:
0.0ms
(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)
12.0ms
(* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0)))
29.0ms
(* (* l l) 1/3)

series1.1s

Counts
4 → 12
Calls
4 calls:
187.0ms
(fma 1/60 (pow l 5) (+ l l))
373.0ms
(fma J (* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0))) U)
495.0ms
(* (fma l (* (* l l) 1/3) (fma 1/60 (pow l 5) (+ l l))) (cos (/ K 2.0)))
41.0ms
(* (* l l) 1/3)

simplify1.7s

Counts
73 → 73
Iterations

Useful iterations: done (1.7s)

IterNodesCost
013132501
129530550
2149630323
done500030168

prune588.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes791.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
018643
120643
done20643

end0.0ms

sample7.9s

Algorithm
intervals
Results
2.7s2726×body1280valid
1.9s2698×body640valid
1.4s8322×body80valid
941.0ms1438×body320valid
169.0ms762×body160valid