Details

analyze360.0ms (8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

sample96.0ms (2.1%)

Algorithm

1×

intervals

Results

25.0ms	50×	body	1280	valid
17.0ms	45×	body	1280	invalid
13.0ms	58×	body	640	invalid
13.0ms	48×	body	640	valid
7.0ms	130×	body	80	valid
4.0ms	20×	body	320	valid
3.0ms	17×	body	320	invalid
1.0ms	10×	body	160	invalid
1.0ms	8×	body	160	valid
1.0ms	13×	body	80	invalid

simplify108.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	5439	11

prune6.0ms (0.1%)

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 (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

9.0ms

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

series14.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5360	308

prune46.0ms (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	24	3	27

Merged error: 0b

Counts

27 → 3

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.3%)

Algorithm

1×	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:

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

series20.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

12.0ms	(/ (* 0.5 (cos re)) (exp im))
8.0ms	(* (* 0.5 (cos re)) (exp im))

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4936	366
1	4936	366

prune65.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Merged error: 0b

Counts

48 → 3

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt (* (* 0.5 (cos re)) (exp im)))
0.3b	(cbrt (* (* 0.5 (cos re)) (exp im)))
0.3b	(cbrt (* (* 0.5 (cos re)) (exp im)))
0.7b	(* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im))))

rewrite21.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im))))
5.0ms	(cbrt (* (* 0.5 (cos re)) (exp im)))
5.0ms	(cbrt (* (* 0.5 (cos re)) (exp im)))
5.0ms	(cbrt (* (* 0.5 (cos re)) (exp im)))

series93.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (cbrt (* (* 0.5 (cos re)) (exp im))) (cbrt (* (* 0.5 (cos re)) (exp im))))
19.0ms	(cbrt (* (* 0.5 (cos re)) (exp im)))
19.0ms	(cbrt (* (* 0.5 (cos re)) (exp im)))
19.0ms	(cbrt (* (* 0.5 (cos re)) (exp im)))

simplify66.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4822	644
1	4822	644

prune284.0ms (6.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	70	3	73

Merged error: 0b

Counts

73 → 3

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
0.1b	(exp (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))
0.3b	(log (exp (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

11.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
5.0ms	(exp (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))
3.0ms	(log (exp (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))))

series44.0ms (1%)

Counts

3 → 9

Calls

3 calls:

18.0ms	(exp (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))
13.0ms	(log (exp (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))))
13.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

simplify48.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5093	737

prune89.0ms (2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	60	3	63

Merged error: 0b

Counts

63 → 3

regimes233.0ms (5.2%)

Accuracy

Total 0.0b remaining (40.3%)

Threshold costs 0.0b (40.3%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	15
1	12	15

end0.0ms (0%)

sample2.7s (60%)

Algorithm

1×

intervals

Results

806.0ms	1580×	body	1280	valid
483.0ms	1493×	body	1280	invalid
331.0ms	1233×	body	640	valid
264.0ms	1198×	body	640	invalid
234.0ms	4248×	body	80	valid
111.0ms	647×	body	320	valid
109.0ms	658×	body	320	invalid
33.0ms	299×	body	160	invalid
32.0ms	292×	body	160	valid
29.0ms	496×	body	80	invalid

Details

analyze360.0ms (8%)

sample96.0ms (2.1%)

simplify108.0ms (2.4%)

prune6.0ms (0.1%)

localize10.0ms (0.2%)

rewrite10.0ms (0.2%)

series14.0ms (0.3%)

simplify54.0ms (1.2%)

prune46.0ms (1%)

localize9.0ms (0.2%)

rewrite12.0ms (0.3%)

series20.0ms (0.5%)

simplify65.0ms (1.4%)

prune65.0ms (1.4%)

localize13.0ms (0.3%)

rewrite21.0ms (0.5%)

series93.0ms (2.1%)

simplify66.0ms (1.5%)

prune284.0ms (6.3%)

localize14.0ms (0.3%)

rewrite20.0ms (0.4%)

series44.0ms (1%)

simplify48.0ms (1.1%)

prune89.0ms (2%)

regimes233.0ms (5.2%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample2.7s (60%)

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