Details

sample257.0ms

Algorithm

intervals

Results

119.0ms	103×	body	1280	valid
39.0ms	72×	body	640	valid
29.0ms	255×	body	80	valid
20.0ms	52×	body	320	valid
5.0ms	20×	body	160	valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	14	15
1	24	14
2	45	14
3	91	14
4	222	14
5	600	14
6	2862	14
done	5000	14

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
0.0b	(* J (- (exp l) (exp (- l))))
5.3b	(- (exp l) (exp (- l)))

rewrite116.0ms

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:

0.0ms	(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
76.0ms	(* J (- (exp l) (exp (- l))))
36.0ms	(- (exp l) (exp (- l)))

series430.0ms

Counts

3 → 9

Calls

3 calls:

288.0ms	(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
87.0ms	(* J (- (exp l) (exp (- l))))
55.0ms	(- (exp l) (exp (- l)))

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	162	1865
1	370	1449
2	1558	1126
done	5001	954

prune370.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

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

rewrite10.0ms

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:

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

series752.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
240.0ms	(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
410.0ms	(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

simplify864.0ms

Counts

51 → 51

Iterations

Useful iterations: done (857.0ms)

Iter	Nodes	Cost
0	88	1042
1	196	1028
2	753	891
done	5000	883

prune404.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* 1/3 (pow l 3)) J) (* J (fma 1/60 (pow l 5) (* 2 l))))
0.0b	(fma (+ (* (* 1/3 (pow l 3)) J) (* J (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)
0.1b	(* 1/3 (pow l 3))
5.8b	(* (* 1/3 (pow l 3)) J)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
16×	`add-sqr-sqrt`
15×	`associate-r`
11×	`add-cbrt-cube`
10×	`prod-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `associate-l` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
3×	`fma-udef`
2×	`pow-to-exp` `associate-+r+` `pow-exp` `*-commutative` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `cube-mult` `fma-def` `distribute-lft-in` `flip3-+` `unpow3` `pow-prod-down` `sum-log` `flip-+`

Counts

4 → 80

Calls

4 calls:

26.0ms	(+ (* (* 1/3 (pow l 3)) J) (* J (fma 1/60 (pow l 5) (* 2 l))))
1.0ms	(fma (+ (* (* 1/3 (pow l 3)) J) (* J (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)
30.0ms	(* 1/3 (pow l 3))
27.0ms	(* (* 1/3 (pow l 3)) J)

series429.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(+ (* (* 1/3 (pow l 3)) J) (* J (fma 1/60 (pow l 5) (* 2 l))))
245.0ms	(fma (+ (* (* 1/3 (pow l 3)) J) (* J (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)
47.0ms	(* 1/3 (pow l 3))
35.0ms	(* (* 1/3 (pow l 3)) J)

simplify1.5s

Counts

92 → 92

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	148	1353
1	382	1227
2	1856	1077
done	5000	1050

prune616.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt J) (cbrt J))
0.6b	(cbrt J)
0.6b	(cbrt J)
0.6b	(cbrt J)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

23.0ms	(* (cbrt J) (cbrt J))
2.0ms	(cbrt J)
2.0ms	(cbrt J)
2.0ms	(cbrt J)

series1.2s

Counts

4 → 12

Calls

4 calls:

340.0ms	(* (cbrt J) (cbrt J))
300.0ms	(cbrt J)
288.0ms	(cbrt J)
318.0ms	(cbrt J)

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune710.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes366.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	24
1	26	24
done	26	24

end0.0ms

sample8.9s

Algorithm

intervals

Results

3.8s	2741×	body	1280	valid
1.7s	2726×	body	640	valid
1.5s	8499×	body	80	valid
542.0ms	1430×	body	320	valid
215.0ms	731×	body	160	valid