Details

Time bar (total: 22.6s)

sample221.0ms

Algorithm
intervals
Results
102.0ms94×body1280valid
33.0ms82×body640valid
25.0ms296×body80valid
12.0ms47×body320valid
5.0ms31×body160valid

simplify2.0s

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (* (cos (/ K 2.0)) J) (- (exp l) (exp (- l))) U)
0.1b
(* (cos (/ K 2.0)) J)
6.2b
(- (exp l) (exp (- l)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity
12×add-cube-cbrt
9×prod-diff
5×pow1 add-cbrt-cube add-exp-log add-log-exp
3×expm1-log1p-u fma-neg associate-*r* associate-*l* log1p-expm1-u
1×sub-neg flip3-- diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 58
Calls
3 calls:
0.0ms
(fma (* (cos (/ K 2.0)) J) (- (exp l) (exp (- l))) U)
6.0ms
(* (cos (/ K 2.0)) J)
25.0ms
(- (exp l) (exp (- l)))

series404.0ms

Counts
3 → 9
Calls
3 calls:
277.0ms
(fma (* (cos (/ K 2.0)) J) (- (exp l) (exp (- l))) U)
71.0ms
(* (cos (/ K 2.0)) J)
56.0ms
(- (exp l) (exp (- l)))

simplify967.0ms

Counts
67 → 67
Iterations
IterNodes
done5000
21195
1302
0140

prune461.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×fma-udef
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 40
Calls
3 calls:
0.0ms
(fma (pow l 5) 1/60 (fma 1/3 (pow l 3) (+ l l)))
1.0ms
(fma (* (cos (/ K 2.0)) J) (fma (pow l 5) 1/60 (fma 1/3 (pow l 3) (+ l l))) U)
13.0ms
(* (cos (/ K 2.0)) J)

series781.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(fma (pow l 5) 1/60 (fma 1/3 (pow l 3) (+ l l)))
604.0ms
(fma (* (cos (/ K 2.0)) J) (fma (pow l 5) 1/60 (fma 1/3 (pow l 3) (+ l l))) U)
90.0ms
(* (cos (/ K 2.0)) J)

simplify618.0ms

Counts
49 → 49
Iterations
IterNodes
done5001
2791
1192
094

prune599.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (cbrt J) (cos (/ K 2.0))) (cbrt J))
0.6b
(cbrt J)
0.6b
(cbrt J)
0.6b
(cbrt J)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt pow1 *-un-lft-identity add-exp-log add-cube-cbrt
6×add-cbrt-cube associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
1×associate-*l* *-commutative
Counts
4 → 62
Calls
4 calls:
37.0ms
(* (* (cbrt J) (cos (/ K 2.0))) (cbrt J))
1.0ms
(cbrt J)
1.0ms
(cbrt J)
2.0ms
(cbrt J)

series1.2s

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (* (cbrt J) (cos (/ K 2.0))) (cbrt J))
348.0ms
(cbrt J)
353.0ms
(cbrt J)
276.0ms
(cbrt J)

simplify761.0ms

Counts
74 → 74
Iterations
IterNodes
done5000
2897
1179
075

prune744.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (fma (pow l 5) 1/60 (+ l (fma (pow l 3) 1/3 l))) (* J (cos (/ K 2.0))) U)) (cbrt (fma (fma (pow l 5) 1/60 (+ l (fma (pow l 3) 1/3 l))) (* J (cos (/ K 2.0))) U)))
0.6b
(cbrt (fma (fma (pow l 5) 1/60 (+ l (fma (pow l 3) 1/3 l))) (* J (cos (/ K 2.0))) U))
0.6b
(cbrt (fma (fma (pow l 5) 1/60 (+ l (fma (pow l 3) 1/3 l))) (* J (cos (/ K 2.0))) U))
0.6b
(cbrt (fma (fma (pow l 5) 1/60 (+ l (fma (pow l 3) 1/3 l))) (* J (cos (/ K 2.0))) U))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
9.0ms
(* (cbrt (fma (fma (pow l 5) 1/60 (+ l (fma (pow l 3) 1/3 l))) (* J (cos (/ K 2.0))) U)) (cbrt (fma (fma (pow l 5) 1/60 (+ l (fma (pow l 3) 1/3 l))) (* J (cos (/ K 2.0))) U)))
1.0ms
(cbrt (fma (fma (pow l 5) 1/60 (+ l (fma (pow l 3) 1/3 l))) (* J (cos (/ K 2.0))) U))
1.0ms
(cbrt (fma (fma (pow l 5) 1/60 (+ l (fma (pow l 3) 1/3 l))) (* J (cos (/ K 2.0))) U))
1.0ms
(cbrt (fma (fma (pow l 5) 1/60 (+ l (fma (pow l 3) 1/3 l))) (* J (cos (/ K 2.0))) U))

series1.6s

Counts
4 → 12
Calls
4 calls:
408.0ms
(* (cbrt (fma (fma (pow l 5) 1/60 (+ l (fma (pow l 3) 1/3 l))) (* J (cos (/ K 2.0))) U)) (cbrt (fma (fma (pow l 5) 1/60 (+ l (fma (pow l 3) 1/3 l))) (* J (cos (/ K 2.0))) U)))
423.0ms
(cbrt (fma (fma (pow l 5) 1/60 (+ l (fma (pow l 3) 1/3 l))) (* J (cos (/ K 2.0))) U))
366.0ms
(cbrt (fma (fma (pow l 5) 1/60 (+ l (fma (pow l 3) 1/3 l))) (* J (cos (/ K 2.0))) U))
362.0ms
(cbrt (fma (fma (pow l 5) 1/60 (+ l (fma (pow l 3) 1/3 l))) (* J (cos (/ K 2.0))) U))

simplify1.4s

Counts
93 → 93
Iterations
IterNodes
done5001
21100
1319
0136

prune1.2s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done19
119
018

end0.0ms

sample8.3s

Algorithm
intervals
Results
2.4s2632×body1280valid
2.3s2653×body640valid
1.6s8439×body80valid
723.0ms1425×body320valid
174.0ms806×body160valid