Details

sample109.0ms

Algorithm

intervals

Results

48.0ms	101×	body	1280	valid
23.0ms	84×	body	640	valid
13.0ms	242×	body	80	valid
6.0ms	33×	body	320	valid
3.0ms	28×	body	160	valid

simplify71.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

72.0ms

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

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

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

simplify36.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	238	265
1	1157	219
2	5002	218

prune61.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

87.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify81.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	185	227
1	748	200
2	3663	198
3	5001	198

prune65.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

5.0ms	(* (sin re) (exp im))
21.0ms	(+ (* (sin re) (exp (- 0.0 im))) (* (sin re) (exp im)))
30.0ms	(* (sin re) (exp (- 0.0 im)))

series131.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* (sin re) (exp im))
68.0ms	(+ (* (sin re) (exp (- 0.0 im))) (* (sin re) (exp im)))
36.0ms	(* (sin re) (exp (- 0.0 im)))

simplify41.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	341	511
1	1255	435
2	5001	430

prune192.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes56.0ms

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

sample2.7s

Algorithm

intervals

Results

1.2s	2956×	body	1280	valid
593.0ms	2604×	body	640	valid
412.0ms	8522×	body	80	valid
187.0ms	1248×	body	320	valid
65.0ms	612×	body	160	valid