Details

sample98.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

39.0ms	84×	body	1280	valid
17.0ms	70×	body	640	valid
14.0ms	268×	body	80	valid
8.0ms	48×	body	320	valid
2.0ms	21×	body	160	valid

simplify65.0ms

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	596	7
6	1198	7
7	1931	7
8	5001	7

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

5.0ms	(+ (exp (neg im)) (exp im))
9.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

series17.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (exp (neg im)) (exp im))
14.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

simplify40.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	248	347
1	1228	286
2	5001	284

prune45.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

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))

rewrite22.0ms

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:

6.0ms	(* (* 0.5 (cos re)) (exp im))
7.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
8.0ms	(/ (* 0.5 (cos re)) (exp im))

series38.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(* (* 0.5 (cos re)) (exp im))
19.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
10.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify49.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (43.0ms)

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

prune61.0ms

Filtered

44 candidates to 60 candidates (-36.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	60	3	63

Merged error: 0b

Counts

63 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (exp im) (exp im))
0.1b	(pow (exp im) 3)
0.3b	(/ (* (* 0.5 (cos re)) (+ (pow (exp (neg im)) 3) (pow (exp im) 3))) (+ (* (exp (neg im)) (exp (neg im))) (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))))
5.5b	(- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
21×	`exp-prod`
20×	`add-cube-cbrt` `*-un-lft-identity` `associate-/r/`
18×	`frac-add`
16×	`add-cbrt-cube`
14×	`exp-neg`
13×	`add-exp-log`
12×	`pow1` `neg-sub0` `exp-diff`
10×	`flip3--` `flip--`
8×	`frac-times`
6×	`associate-*r/` `add-log-exp`
4×	`pow-pow` `pow-prod-down` `associate-*l/` `prod-exp` `pow-sqr` `pow-prod-up` `cbrt-unprod`
3×	`cbrt-undiv` `unpow-prod-down` `pow-unpow` `times-frac` `cube-prod` `swap-sqr` `div-exp` `associate-r` `associate-l` `associate-/r*`
2×	`flip3-+` `un-div-inv` `flip-+` `associate-/l/`
1×	`pow2` `cube-mult` `pow-to-exp` `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 → 118

Calls

4 calls:

6.0ms	(* (exp im) (exp im))
3.0ms	(pow (exp im) 3)
37.0ms	(/ (* (* 0.5 (cos re)) (+ (pow (exp (neg im)) 3) (pow (exp im) 3))) (+ (* (exp (neg im)) (exp (neg im))) (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))))
6.0ms	(- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (exp im) (exp im))
4.0ms	(pow (exp im) 3)
69.0ms	(/ (* (* 0.5 (cos re)) (+ (pow (exp (neg im)) 3) (pow (exp im) 3))) (+ (* (exp (neg im)) (exp (neg im))) (- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))))
7.0ms	(- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))

simplify171.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (155.0ms)

Iter	Nodes	Cost
0	872	2114
1	4564	1581
2	5002	1562

prune155.0ms

Filtered

75 candidates to 130 candidates (-73.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	130	3	133

Merged error: 0b

Counts

133 → 3

regimes224.0ms

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

sample3.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

1.2s	2890×	body	1280	valid
600.0ms	2422×	body	640	valid
470.0ms	8613×	body	80	valid
225.0ms	1305×	body	320	valid
71.0ms	580×	body	160	valid

Details

sample98.0ms

simplify65.0ms

prune3.0ms

localize10.0ms

rewrite15.0ms

series17.0ms

simplify40.0ms

prune45.0ms

localize9.0ms

rewrite22.0ms

series38.0ms

simplify49.0ms

prune61.0ms

localize22.0ms

rewrite57.0ms

series83.0ms

simplify171.0ms

prune155.0ms

regimes224.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.0s

Profiling