Details

Time bar (total: 26.7s)

sample224.0ms

Algorithm
intervals
Results
52.0ms83×body1280valid
35.0ms89×body640valid
23.0ms265×body80valid
14.0ms51×body320valid
5.0ms25×body160valid

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5000
73163
61067
5416
4202
385
244
124
014

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.4b

localize40.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
5.9b
(- (exp l) (exp (- l)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-cube-cbrt
9×prod-diff
7×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
3×fma-neg associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*l/ associate-*r/ log1p-expm1-u flip--
1×sub-neg diff-log associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
2 → 50
Calls
2 calls:
81.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
26.0ms
(- (exp l) (exp (- l)))

series452.0ms

Counts
2 → 6
Calls
2 calls:
112.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
339.0ms
(- (exp l) (exp (- l)))

simplify2.7s

Counts
56 → 56
Iterations
IterNodes
done5002
32654
2804
1299
0123

prune413.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b
(* l (fma l (* l 1/3) 2))
0.0b
(+ (* (* J (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2)))) (cos (/ K 2.0))) U)
0.1b
(* (* J (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2)))) (cos (/ K 2.0)))
0.3b
(* l 1/3)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
9×*-un-lft-identity associate-*r* add-cube-cbrt
7×associate-*l*
6×add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u
3×*-commutative
2×fma-udef unswap-sqr
1×distribute-rgt-in +-commutative sum-log fma-def distribute-lft-in flip3-+ flip-+
Counts
4 → 76
Calls
4 calls:
11.0ms
(* l (fma l (* l 1/3) 2))
27.0ms
(+ (* (* J (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2)))) (cos (/ K 2.0))) U)
28.0ms
(* (* J (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2)))) (cos (/ K 2.0)))
10.0ms
(* l 1/3)

series746.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(* l (fma l (* l 1/3) 2))
322.0ms
(+ (* (* J (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2)))) (cos (/ K 2.0))) U)
249.0ms
(* (* J (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2)))) (cos (/ K 2.0)))
28.0ms
(* l 1/3)

simplify1.7s

Counts
88 → 88
Iterations
IterNodes
done5000
21110
1357
0147

prune851.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0)))) U)
0.1b
(* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0))))
0.1b
(* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0)))
0.3b
(* l 1/3)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
9×*-un-lft-identity associate-*l* add-cube-cbrt
7×associate-*r*
6×add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u
3×*-commutative
2×unswap-sqr
1×+-commutative sum-log fma-def flip3-+ flip-+
Counts
4 → 74
Calls
4 calls:
27.0ms
(+ (* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0)))) U)
28.0ms
(* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0))))
12.0ms
(* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0)))
11.0ms
(* l 1/3)

series718.0ms

Counts
4 → 12
Calls
4 calls:
352.0ms
(+ (* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0)))) U)
217.0ms
(* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0))))
124.0ms
(* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0)))
25.0ms
(* l 1/3)

simplify2.0s

Counts
86 → 86
Iterations
IterNodes
done5003
21084
1348
0146

prune786.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
9×*-un-lft-identity associate-*r* add-cube-cbrt
7×associate-*l*
6×add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u
3×*-commutative
2×fma-udef unswap-sqr
1×distribute-rgt-in +-commutative sum-log fma-def distribute-lft-in flip3-+ flip-+
Counts
4 → 76
Calls
4 calls:
11.0ms
(* (fma (* l l) 1/3 2) l)
10.0ms
(* J (fma (pow l 5) 1/60 (* (fma (* l l) 1/3 2) l)))
38.0ms
(+ (* (* J (fma (pow l 5) 1/60 (* (fma (* l l) 1/3 2) l))) (cos (/ K 2.0))) U)
16.0ms
(* (* J (fma (pow l 5) 1/60 (* (fma (* l l) 1/3 2) l))) (cos (/ K 2.0)))

series923.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* (fma (* l l) 1/3 2) l)
182.0ms
(* J (fma (pow l 5) 1/60 (* (fma (* l l) 1/3 2) l)))
351.0ms
(+ (* (* J (fma (pow l 5) 1/60 (* (fma (* l l) 1/3 2) l))) (cos (/ K 2.0))) U)
266.0ms
(* (* J (fma (pow l 5) 1/60 (* (fma (* l l) 1/3 2) l))) (cos (/ K 2.0)))

simplify1.8s

Counts
88 → 88
Iterations
IterNodes
done5003
21169
1353
0145

prune693.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes576.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done24
124
019

end0.0ms

sample8.3s

Algorithm
intervals
Results
2.9s2614×body1280valid
1.7s8383×body80valid
1.4s2545×body640valid
1.1s1442×body320valid
166.0ms805×body160valid