Details

Time bar (total: 20.9s)

sample169.0ms

Algorithm
intervals
Results
48.0ms65×body1280valid
37.0ms85×body640valid
21.0ms219×body80valid
20.0ms66×body320valid
5.0ms23×body160valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01415
12414
24514
39114
422214
560014
6286214
done500014

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.5b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(* J (- (exp l) (exp (- l))))
0.0b
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
8.2b
(- (exp l) (exp (- l)))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
28×*-un-lft-identity
27×prod-diff
24×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×pow1 add-exp-log associate-*r* add-cbrt-cube add-log-exp
3×expm1-log1p-u sub-neg fma-neg associate-*l* log1p-expm1-u
2×flip3-- associate-*r/ flip-- distribute-lft-out-- difference-of-squares
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 84
Calls
3 calls:
115.0ms
(* J (- (exp l) (exp (- l))))
1.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
35.0ms
(- (exp l) (exp (- l)))

series393.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(* J (- (exp l) (exp (- l))))
257.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
48.0ms
(- (exp l) (exp (- l)))

simplify1.3s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01621865
13701449
215621126
done5000954

prune544.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×fma-udef
3×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 42
Calls
3 calls:
1.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
16.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
1.0ms
(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

series686.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
206.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
373.0ms
(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

simplify834.0ms

Counts
51 → 51
Iterations

Useful iterations: done (832.0ms)

IterNodesCost
0881042
11961028
2753891
done5000883

prune475.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

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-*r*
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u fma-udef log1p-expm1-u add-log-exp
2×*-commutative
1×distribute-rgt-in distribute-lft-in unswap-sqr
Counts
3 → 52
Calls
3 calls:
0.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
8.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
26.0ms
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

series565.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
224.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
258.0ms
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

simplify989.0ms

Counts
61 → 61
Iterations

Useful iterations: done (987.0ms)

IterNodesCost
0991300
12441283
212651077
done50011066

prune558.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
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)))

rewrite34.0ms

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*
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×*-commutative
1×fma-udef unswap-sqr
Counts
3 → 50
Calls
3 calls:
0.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
23.0ms
(* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0))))
9.0ms
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))

series573.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
313.0ms
(* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0))))
160.0ms
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))

simplify758.0ms

Counts
59 → 59
Iterations

Useful iterations: done (755.0ms)

IterNodesCost
0971347
12281333
210051119
done50001110

prune453.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes723.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02022
12422
done2422

end0.0ms

sample8.6s

Algorithm
intervals
Results
2.7s2630×body1280valid
1.8s8327×body80valid
1.6s2605×body640valid
1.1s1429×body320valid
352.0ms787×body160valid