Details

sample109.0ms

Algorithm

intervals

Results

41.0ms	104×	body	1280	valid
22.0ms	96×	body	640	valid
16.0ms	253×	body	80	valid
8.0ms	51×	body	320	valid
2.0ms	19×	body	160	valid

simplify61.0ms

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

Filtered

1 candidates to 0 candidates (100.0%)

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

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

series21.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
4.0ms	(+ (exp (neg im)) (exp im))

simplify38.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (34.0ms)

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

prune45.0ms

Filtered

41 candidates to 28 candidates (31.7%)

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

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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:

7.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
6.0ms	(* (* 0.5 (cos re)) (exp im))
5.0ms	(/ (* 0.5 (cos re)) (exp im))

series39.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
9.0ms	(* (* 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 (44.0ms)

Iter	Nodes	Cost
0	284	450
1	1619	391
2	5002	384

prune62.0ms

Filtered

60 candidates to 44 candidates (26.7%)

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

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (neg im)) (exp im))
0.0b	(+ (exp (neg im)) (exp im))
0.0b	(* (* 0.5 (cos re)) (* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im)))))
1.0b	(* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
30×	`*-un-lft-identity`
26×	`sqrt-prod`
24×	`add-sqr-sqrt` `sqrt-div`
18×	`add-exp-log` `add-cbrt-cube`
14×	`flip3-+` `flip-+`
12×	`add-cube-cbrt` `associate-*r/`
11×	`swap-sqr` `pow-prod-down`
9×	`prod-exp` `cbrt-unprod`
8×	`frac-times` `sqrt-pow1` `pow1/2` `associate-r` `associate-l` `distribute-lft-out` `add-log-exp`
5×	`pow-prod-up`
4×	`associate-*l/` `unswap-sqr`
3×	`pow-sqr`
2×	`+-commutative` `sum-log` `*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 116

Calls

4 calls:

5.0ms	(+ (exp (neg im)) (exp im))
5.0ms	(+ (exp (neg im)) (exp im))
18.0ms	(* (* 0.5 (cos re)) (* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im)))))
16.0ms	(* (sqrt (+ (exp (neg im)) (exp im))) (sqrt (+ (exp (neg im)) (exp im))))

series25.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify58.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	362	1260
1	1607	1042
2	5002	1024

prune147.0ms

Filtered

128 candidates to 67 candidates (47.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	128	3	131

Merged error: 0b

Counts

131 → 3

regimes253.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	2920×	body	1280	valid
603.0ms	2442×	body	640	valid
444.0ms	8532×	body	80	valid
212.0ms	1257×	body	320	valid
71.0ms	619×	body	160	valid

Details

sample109.0ms

simplify61.0ms

prune3.0ms

localize10.0ms

rewrite15.0ms

series21.0ms

simplify38.0ms

prune45.0ms

localize11.0ms

rewrite20.0ms

series39.0ms

simplify49.0ms

prune62.0ms

localize12.0ms

rewrite49.0ms

series25.0ms

simplify58.0ms

prune147.0ms

regimes253.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.0s

Profiling