Details

sample108.0ms

Algorithm

intervals

Results

43.0ms	92×	body	1280	valid
22.0ms	81×	body	640	valid
14.0ms	248×	body	80	valid
7.0ms	40×	body	320	valid
3.0ms	22×	body	160	valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	491	12
1	491	12

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm

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:

11.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify35.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5000	338

prune38.0ms

Filtered

17 candidates to 26 candidates (-52.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Merged error: 0b

Counts

27 → 3

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-l`
5×	`add-exp-log` `add-log-exp`
2×	`exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sub-neg` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 51

Calls

3 calls:

10.0ms	(+ (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im))))
8.0ms	(* (sin re) (exp (- 0.0 im)))
5.0ms	(* (sin re) (exp im))

series36.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im))))
8.0ms	(* (sin re) (exp (- 0.0 im)))
8.0ms	(* (sin re) (exp im))

simplify30.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4983	577
1	4983	577

prune76.0ms

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

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (exp (- 0.0 im)) (exp im)))
0.0b	(sqrt (+ (exp (- 0.0 im)) (exp im)))
0.5b	(* (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (+ (exp (- 0.0 im)) (exp im))))
0.5b	(* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`sqrt-div`
17×	`pow1` `add-sqr-sqrt` `sqrt-prod`
16×	`associate-*r/`
15×	`add-exp-log` `add-cbrt-cube`
14×	`associate-r`
11×	`add-cube-cbrt`
9×	`flip3-+` `flip-+`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`frac-times` `associate-l` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

7.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
7.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
23.0ms	(* (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (+ (exp (- 0.0 im)) (exp im))))
12.0ms	(* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))

series49.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
7.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
18.0ms	(* (* 0.5 (* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (+ (exp (- 0.0 im)) (exp im))))
17.0ms	(* (sin re) (sqrt (+ (exp (- 0.0 im)) (exp im))))

simplify48.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5358	1452

prune162.0ms

Filtered

66 candidates to 102 candidates (-54.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	102	3	105

Merged error: 0b

Counts

105 → 3

regimes235.0ms

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	14	12
1	14	12

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.3s	2916×	body	1280	valid
645.0ms	2455×	body	640	valid
634.0ms	8440×	body	80	valid
213.0ms	1237×	body	320	valid
89.0ms	682×	body	160	valid

Details

sample108.0ms

simplify21.0ms

prune6.0ms

localize10.0ms

rewrite11.0ms

series19.0ms

simplify35.0ms

prune38.0ms

localize15.0ms

rewrite24.0ms

series36.0ms

simplify30.0ms

prune76.0ms

localize12.0ms

rewrite50.0ms

series49.0ms

simplify48.0ms

prune162.0ms

regimes235.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.3s

Profiling