Details

sample129.0ms

Algorithm

intervals

Results

52.0ms	103×	body	1280	valid
30.0ms	99×	body	640	valid
19.0ms	265×	body	80	valid
10.0ms	47×	body	320	valid
3.0ms	18×	body	160	valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	64	7
2	126	7
3	212	7
4	323	7
5	864	7
6	1202	7
7	1800	7
8	4421	7
9	5001	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

14×	`fma-def` `*-un-lft-identity`
11×	`exp-sum`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 53

Calls

2 calls:

33.0ms	(+ (exp (- 0.0 im)) (exp im))
75.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (exp (- 0.0 im)) (exp im))
69.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify39.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	277	376
1	1271	319
2	5001	317

prune158.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma re 1.0 (- (* 0.5 (* re (pow im 2))) (* 0.16666666666666666 (pow re 3))))
0.0b	(* 0.5 (* re (pow im 2)))
0.1b	(* 0.16666666666666666 (pow re 3))
6.9b	(* re (pow im 2))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
24×	`add-exp-log`
21×	`associate-r`
13×	`prod-exp` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-l`
8×	`unpow-prod-down` `unswap-sqr`
6×	`pow1`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `cube-prod` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-exp` `*-commutative`
2×	`unpow2`
1×	`cube-mult` `unpow3` `pow-prod-down` `fma-udef`

Counts

4 → 93

Calls

4 calls:

0.0ms	(fma re 1.0 (- (* 0.5 (* re (pow im 2))) (* 0.16666666666666666 (pow re 3))))
8.0ms	(* 0.5 (* re (pow im 2)))
7.0ms	(* 0.16666666666666666 (pow re 3))
6.0ms	(* re (pow im 2))

series172.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(fma re 1.0 (- (* 0.5 (* re (pow im 2))) (* 0.16666666666666666 (pow re 3))))
35.0ms	(* 0.5 (* re (pow im 2)))
35.0ms	(* 0.16666666666666666 (pow re 3))
32.0ms	(* re (pow im 2))

simplify47.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	302	453
1	1263	392
2	5002	390

prune218.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.6s	2969×	body	1280	valid
763.0ms	2454×	body	640	valid
616.0ms	8434×	body	80	valid
275.0ms	1289×	body	320	valid
93.0ms	640×	body	160	valid