Details

Time bar (total: 51.5s)

sample160.0ms

Algorithm
intervals
Results
48.0ms87×body1280valid
30.0ms89×body640valid
26.0ms269×body80valid
17.0ms65×body320valid
3.0ms20×body160valid

simplify25.6s

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01415
12414
24514
39014
418914
528114
635814
749314
864614
9103114
10180014
11258614
12324314
13356414
14364814
done364814

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize15.0ms

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)))
4.6b
(- (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-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:
85.0ms
(* J (- (exp l) (exp (- l))))
99.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
18.0ms
(- (exp l) (exp (- l)))

series249.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(* J (- (exp l) (exp (- l))))
126.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
46.0ms
(- (exp l) (exp (- l)))

simplify3.4s

Counts
105 → 105
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
01682051
13431619
29351258
341661093
done50001093

prune423.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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))))
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)))

rewrite52.0ms

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*
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u log1p-expm1-u
2×*-commutative fma-udef
1×+-commutative distribute-rgt-in fma-def distribute-lft-in flip3-+ sum-log flip-+ unswap-sqr
Counts
3 → 56
Calls
3 calls:
7.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
18.0ms
(+ (* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0))) U)
25.0ms
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

series776.0ms

Counts
3 → 9
Calls
3 calls:
187.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
388.0ms
(+ (* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0))) U)
201.0ms
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

simplify4.1s

Counts
65 → 65
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
01161600
12791526
29191335
348841288
done50001288

prune356.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize28.0ms

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)))

rewrite94.0ms

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:
38.0ms
(+ (* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))) U)
39.0ms
(* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0))))
15.0ms
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))

series760.0ms

Counts
3 → 9
Calls
3 calls:
385.0ms
(+ (* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))) U)
252.0ms
(* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0))))
123.0ms
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))

simplify4.0s

Counts
63 → 63
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
01131647
12791576
29381379
347951322
done50001322

prune435.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize29.0ms

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)))

rewrite13.0ms

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)
12.0ms
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))

series475.0ms

Counts
2 → 6
Calls
2 calls:
338.0ms
(fma J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0))) U)
137.0ms
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))

simplify2.1s

Counts
36 → 36
Iterations

Useful iterations: 3 (649.0ms)

IterNodesCost
081877
1174869
2538752
32250728
done5000728

prune207.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes237.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01921
12121
done2121

end0.0ms

sample7.8s

Algorithm
intervals
Results
2.8s2682×body1280valid
1.8s2606×body640valid
1.0s8289×body80valid
889.0ms1444×body320valid
242.0ms785×body160valid