Details

sample90.0ms

Algorithm

intervals

Results

41.0ms	106×	body	1280	valid
17.0ms	83×	body	640	valid
12.0ms	269×	body	80	valid
4.0ms	30×	body	320	valid
2.0ms	19×	body	160	valid

simplify73.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

26.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
9.0ms	(+ (exp (- im)) (exp im))

series83.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
27.0ms	(+ (exp (- im)) (exp im))

simplify39.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	249	347
1	1229	286
2	5001	284

prune99.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-cbrt-cube`
8×	`add-exp-log`
7×	`pow1`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `add-log-exp`
1×	`frac-2neg` `associate-l` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

2 → 39

Calls

2 calls:

12.0ms	(* (* 0.5 (cos re)) (exp im))
4.0ms	(/ (* 0.5 (cos re)) (exp im))

series72.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* (* 0.5 (cos re)) (exp im))
37.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify39.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	203	268
1	1180	217
2	5001	217

prune98.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (exp (log (+ (exp (* -1 im)) (exp im)))))
0.0b	(+ (exp (* -1 im)) (exp im))
0.0b	(exp (log (+ (exp (* -1 im)) (exp im))))
0.0b	(log (+ (exp (* -1 im)) (exp im)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
12×	`log-prod`
11×	`pow1`
9×	`add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
8×	`add-exp-log` `exp-sum`
7×	`associate-r`
6×	`log-div` `add-log-exp`
4×	`exp-prod` `flip3-+` `exp-diff` `flip-+` `distribute-lft-out`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/` `log-pow`
1×	`+-commutative` `rem-log-exp` `associate-l` `sum-log` `*-commutative` `rem-exp-log`

Counts

4 → 69

Calls

4 calls:

21.0ms	(* (* 0.5 (cos re)) (exp (log (+ (exp (* -1 im)) (exp im)))))
4.0ms	(+ (exp (* -1 im)) (exp im))
5.0ms	(exp (log (+ (exp (* -1 im)) (exp im))))
4.0ms	(log (+ (exp (* -1 im)) (exp im)))

series181.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (* 0.5 (cos re)) (exp (log (+ (exp (* -1 im)) (exp im)))))
21.0ms	(+ (exp (* -1 im)) (exp im))
21.0ms	(exp (log (+ (exp (* -1 im)) (exp im))))
78.0ms	(log (+ (exp (* -1 im)) (exp im)))

simplify40.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	279	682
1	1185	587
2	5001	560

prune211.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes60.0ms

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

sample2.6s

Algorithm

intervals

Results

1.1s	2928×	body	1280	valid
548.0ms	2553×	body	640	valid
381.0ms	8537×	body	80	valid
175.0ms	1213×	body	320	valid
59.0ms	620×	body	160	valid