Details

sample94.0ms

Algorithm

intervals

Results

43.0ms	107×	body	1280	valid
16.0ms	75×	body	640	valid
14.0ms	292×	body	80	valid
5.0ms	34×	body	320	valid
2.0ms	17×	body	160	valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1662	7
8	4217	7
9	5002	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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 1 expressions with local error:

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

rewrite12.0ms

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)))

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

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

simplify34.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	234	248
1	1124	203
2	5001	203

prune52.0ms

Filtered

26 candidates to 16 candidates (61.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	1	27

Merged error: 0.0b

Counts

27 → 1

localize11.0ms

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube`
9×	`add-exp-log`
8×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-l` `exp-sum` `*-commutative`
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)))
6.0ms	(* (* 0.5 (sin re)) (exp im))
10.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series168.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
35.0ms	(* (* 0.5 (sin re)) (exp im))
45.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify54.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	328	481
1	1554	400
2	5001	395

prune141.0ms

Filtered

60 candidates to 42 candidates (70.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	2	61

Merged error: 0b

Counts

61 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (cbrt (pow (* (* 0.5 (sin re)) (exp im)) 3)))
0.0b	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
0.4b	(pow (* (* 0.5 (sin re)) (exp im)) 3)
19.3b	(cbrt (pow (* (* 0.5 (sin re)) (exp im)) 3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-cbrt-cube`
11×	`add-exp-log`
8×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`associate-r`
3×	`pow-unpow` `pow-pow` `pow-exp` `rem-cube-cbrt`
2×	`cube-mult` `unpow-prod-down` `unpow3` `cube-prod` `exp-sum` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3-+` `exp-diff` `pow1/3` `associate-r/` `associate-l` `sum-log` `-commutative` `rem-cbrt-cube` `flip-+`

Counts

4 → 74

Calls

4 calls:

12.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (cbrt (pow (* (* 0.5 (sin re)) (exp im)) 3)))
10.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
10.0ms	(pow (* (* 0.5 (sin re)) (exp im)) 3)
3.0ms	(cbrt (pow (* (* 0.5 (sin re)) (exp im)) 3))

series227.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (cbrt (pow (* (* 0.5 (sin re)) (exp im)) 3)))
42.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
58.0ms	(pow (* (* 0.5 (sin re)) (exp im)) 3)
37.0ms	(cbrt (pow (* (* 0.5 (sin re)) (exp im)) 3))

simplify66.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	382	682
1	1820	588
2	5002	570

prune215.0ms

Filtered

86 candidates to 57 candidates (66.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	86	2	88

Merged error: 0b

Counts

88 → 2

regimes68.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.3s	2964×	body	1280	valid
564.0ms	2510×	body	640	valid
416.0ms	8573×	body	80	valid
183.0ms	1203×	body	320	valid
60.0ms	582×	body	160	valid