Details

sample84.0ms

Algorithm

intervals

Results

34.0ms	99×	body	1280	valid
16.0ms	78×	body	640	valid
12.0ms	272×	body	80	valid
6.0ms	48×	body	320	valid
2.0ms	19×	body	160	valid

simplify71.0ms

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))

rewrite40.0ms

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:

31.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
9.0ms	(+ (exp (- im)) (exp im))

series85.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
23.0ms	(+ (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

prune98.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `div-inv`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `-commutative` `flip-+` `distribute-lft-out` `associate-/l`

Counts

3 → 51

Calls

3 calls:

9.0ms	(* (* 0.5 (cos re)) (exp im))
9.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
4.0ms	(/ (* 0.5 (cos re)) (exp im))

series160.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* (* 0.5 (cos re)) (exp im))
84.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
38.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify53.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	284	450
1	1619	391
2	5001	384

prune138.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp im) (exp im))
0.0b	(pow (exp (- im)) 3)
0.3b	(/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))
5.2b	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

28×	`exp-prod`
24×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`associate-/r/`
18×	`frac-add`
16×	`add-cbrt-cube`
15×	`exp-neg`
13×	`add-exp-log` `neg-sub0` `exp-diff`
12×	`pow1`
11×	`pow-pow`
10×	`flip3--` `flip--`
8×	`frac-times`
6×	`associate-*r/` `add-log-exp`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `pow-sqr` `pow-prod-up` `cbrt-unprod`
3×	`cbrt-undiv` `distribute-lft-neg-in` `unpow-prod-down` `pow-unpow` `distribute-rgt-neg-in` `times-frac` `cube-prod` `swap-sqr` `div-exp` `associate-r` `associate-l` `associate-/r*`
2×	`cube-div` `flip3-+` `un-div-inv` `flip-+` `associate-/l/`
1×	`pow2` `cube-mult` `pow-to-exp` `neg-mul-1` `sub-neg` `distribute-rgt-out--` `frac-2neg` `pow-plus` `diff-log` `unpow3` `pow-exp` `clear-num` `-commutative` `div-inv` `associate-/l` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 127

Calls

4 calls:

8.0ms	(* (exp im) (exp im))
7.0ms	(pow (exp (- im)) 3)
114.0ms	(/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))
7.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (exp im) (exp im))
26.0ms	(pow (exp (- im)) 3)
224.0ms	(/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))
47.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

simplify182.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (166.0ms)

Iter	Nodes	Cost
0	903	2176
1	4557	1625
2	5001	1603

prune418.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes61.0ms

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

sample2.5s

Algorithm

intervals

Results

1.1s	3006×	body	1280	valid
523.0ms	2552×	body	640	valid
366.0ms	8589×	body	80	valid
171.0ms	1267×	body	320	valid
62.0ms	654×	body	160	valid