Details

Time bar (total: 48.7s)

sample98.0ms

Algorithm
intervals
Results
35.0ms84×body1280valid
21.0ms84×body640valid
13.0ms249×body80valid
7.0ms40×body320valid
3.0ms26×body160valid

simplify36.2s

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01415
12414
24414
38414
414814
527914
656814
781414
8121014
9359614
done500014

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize17.0ms

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)))
6.7b
(- (exp l) (exp (- l)))

rewrite59.0ms

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-exp-log add-cbrt-cube
8×associate-*r*
5×add-log-exp
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u sub-neg flip3-- fma-neg flip-- log1p-expm1-u
2×associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
3 → 96
Calls
3 calls:
23.0ms
(* J (- (exp l) (exp (- l))))
25.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
7.0ms
(- (exp l) (exp (- l)))

series199.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(* J (- (exp l) (exp (- l))))
89.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
38.0ms
(- (exp l) (exp (- l)))

simplify882.0ms

Counts
105 → 105
Iterations

Useful iterations: done (879.0ms)

IterNodesCost
01682051
13601619
212921258
done50001240

prune271.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative fma-def flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 34
Calls
2 calls:
7.0ms
(+ (* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0))) U)
7.0ms
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

series424.0ms

Counts
2 → 6
Calls
2 calls:
251.0ms
(+ (* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0))) U)
173.0ms
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

simplify2.7s

Counts
40 → 40
Iterations

Useful iterations: 3 (498.0ms)

IterNodesCost
0881117
12301050
2838927
34190880
done5000880

prune168.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*l*
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u log1p-expm1-u
2×*-commutative
1×+-commutative fma-def flip3-+ sum-log flip-+ unswap-sqr
Counts
3 → 54
Calls
3 calls:
6.0ms
(+ (* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))) U)
6.0ms
(* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0))))
3.0ms
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))

series551.0ms

Counts
3 → 9
Calls
3 calls:
258.0ms
(+ (* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))) U)
187.0ms
(* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0))))
106.0ms
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))

simplify421.0ms

Counts
63 → 63
Iterations

Useful iterations: done (418.0ms)

IterNodesCost
01131647
12821576
29511379
done50011329

prune331.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0))) U)
3.0ms
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))

series318.0ms

Counts
2 → 6
Calls
2 calls:
231.0ms
(fma J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0))) U)
87.0ms
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))

simplify1.5s

Counts
36 → 36
Iterations

Useful iterations: 3 (258.0ms)

IterNodesCost
081877
1176869
2569752
32694728
done5000728

prune179.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes440.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01921
12121
done2121

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.4s2677×body1280valid
862.0ms2657×body640valid
580.0ms8332×body80valid
296.0ms1397×body320valid
112.0ms816×body160valid