Details

sample113.0ms

Algorithm

intervals

Results

39.0ms	92×	body	1280	valid
23.0ms	290×	body	80	valid
23.0ms	88×	body	640	valid
9.0ms	46×	body	320	valid
3.0ms	24×	body	160	valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	58	7
2	95	7
3	209	7
4	459	7
5	629	7
6	1415	7
7	2148	7
8	5002	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

26.0ms

(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify34.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	215	246
1	1120	199
2	5002	198

prune52.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (exp im))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube`
4×	`add-exp-log`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

9.0ms

(* (* 0.5 (cos re)) (exp im))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* (* 0.5 (cos re)) (exp im))

simplify82.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	123	122
1	577	97
2	3107	97
3	5001	97

prune45.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (exp (- im)) (exp im)))
0.0b	(sqrt (+ (exp (- im)) (exp im)))
0.2b	(* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))
0.7b	(* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`add-exp-log` `*-un-lft-identity` `sqrt-div` `add-cbrt-cube`
16×	`sqrt-prod`
14×	`associate-r`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `associate-*r/`
9×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
4×	`frac-times` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 89

Calls

4 calls:

12.0ms	(sqrt (+ (exp (- im)) (exp im)))
13.0ms	(sqrt (+ (exp (- im)) (exp im)))
29.0ms	(* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))
75.0ms	(* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))

series242.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(sqrt (+ (exp (- im)) (exp im)))
47.0ms	(sqrt (+ (exp (- im)) (exp im)))
83.0ms	(* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))
61.0ms	(* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))

simplify61.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	395	1189
1	1978	1007
2	5002	980

prune243.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes73.0ms

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	12	9
1	12	9

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.3s	3010×	body	1280	valid
687.0ms	8719×	body	80	valid
643.0ms	2549×	body	640	valid
220.0ms	1198×	body	320	valid
87.0ms	640×	body	160	valid