Details

sample90.0ms

Algorithm

intervals

Results

37.0ms	103×	body	1280	valid
20.0ms	81×	body	640	valid
11.0ms	262×	body	80	valid
6.0ms	40×	body	320	valid
2.0ms	16×	body	160	valid

simplify72.0ms

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

rewrite74.0ms

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:

16.0ms	(+ (exp (- im)) (exp im))
57.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series76.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (exp (- im)) (exp im))
55.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (33.0ms)

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

prune129.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- im)) (exp im))
0.0b	(+ (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))))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

16.0ms	(+ (exp (- im)) (exp im))
17.0ms	(+ (exp (- im)) (exp im))
55.0ms	(* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))
144.0ms	(* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))

series166.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (exp (- im)) (exp im))
22.0ms	(+ (exp (- im)) (exp im))
73.0ms	(* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))
51.0ms	(* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))

simplify56.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	388	1083
1	1995	885
2	5002	870

prune378.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))
1.0b	(cbrt (+ (exp (- im)) (exp im)))
1.0b	(cbrt (+ (exp (- im)) (exp im)))
1.0b	(cbrt (+ (exp (- im)) (exp im)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

102.0ms	(* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))
12.0ms	(cbrt (+ (exp (- im)) (exp im)))
12.0ms	(cbrt (+ (exp (- im)) (exp im)))
12.0ms	(cbrt (+ (exp (- im)) (exp im)))

series560.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))
123.0ms	(cbrt (+ (exp (- im)) (exp im)))
118.0ms	(cbrt (+ (exp (- im)) (exp im)))
121.0ms	(cbrt (+ (exp (- im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	234	1278
1	854	1145
2	5001	1071

prune685.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes142.0ms

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	13	7
1	13	7

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	3056×	body	1280	valid
552.0ms	2516×	body	640	valid
386.0ms	8425×	body	80	valid
184.0ms	1214×	body	320	valid
62.0ms	581×	body	160	valid