Details

sample110.0ms

Algorithm

intervals

Results

50.0ms	110×	body	1280	valid
21.0ms	89×	body	640	valid
15.0ms	273×	body	80	valid
6.0ms	39×	body	320	valid
2.0ms	20×	body	160	valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	64	7
2	126	7
3	212	7
4	323	7
5	864	7
6	1202	7
7	1800	7
8	4421	7
9	5001	7

prune2.0ms

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 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`fma-def` `*-un-lft-identity`
11×	`exp-sum`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 53

Calls

2 calls:

10.0ms	(+ (exp (- 0.0 im)) (exp im))
14.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
66.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify38.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	277	376
1	1271	319
2	5001	317

prune143.0ms

Filtered

59 candidates to 45 candidates (76.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	54	5	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	5	60

Merged error: 0b

Counts

60 → 5

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-r`
13×	`pow1` `add-cbrt-cube`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `exp-sum`
9×	`add-exp-log` `prod-diff`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`+-commutative` `sub-neg` `fma-def` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 67

Calls

3 calls:

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

series208.0ms

Counts

3 → 9

Calls

3 calls:

127.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
42.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
39.0ms	(* (* 0.5 (sin re)) (exp im))

simplify80.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	436	617
1	2003	504
2	5001	499

prune171.0ms

Filtered

76 candidates to 55 candidates (72.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	77	4	81

Merged error: 0b

Counts

81 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube`
5×	`add-exp-log`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma (* 0.5 (sin re)) (exp (- 0.0 im)) (* (* 0.5 (sin re)) (exp im)))
7.0ms	(* (* 0.5 (sin re)) (exp im))

series135.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(fma (* 0.5 (sin re)) (exp (- 0.0 im)) (* (* 0.5 (sin re)) (exp im)))
40.0ms	(* (* 0.5 (sin re)) (exp im))

simplify108.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	213	285
1	831	235
2	4309	230
3	5002	229

prune87.0ms

Filtered

36 candidates to 28 candidates (77.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0b

Counts

40 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
0.1b	(pow (exp im) 3)
0.1b	(pow (exp (- 0.0 im)) 3)
6.7b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
74×	`add-sqr-sqrt`
70×	`exp-sum`
58×	`add-cube-cbrt`
55×	`prod-diff`
50×	`exp-prod`
17×	`unpow-prod-down` `cube-prod`
16×	`swap-sqr`
14×	`associate-r` `associate-l`
13×	`pow1` `distribute-lft-out--`
10×	`pow-pow`
9×	`sub-neg`
8×	`pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube`
7×	`difference-of-squares`
6×	`pow-unpow` `add-log-exp`
5×	`exp-diff`
4×	`add-exp-log` `expm1-log1p-u` `log1p-expm1-u`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`cube-div` `pow2` `frac-times` `flip3--` `distribute-rgt-out--` `pow-plus` `fma-neg` `diff-log` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 184

Calls

4 calls:

19.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
3.0ms	(pow (exp im) 3)
11.0ms	(pow (exp (- 0.0 im)) 3)
7.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series115.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
23.0ms	(pow (exp im) 3)
26.0ms	(pow (exp (- 0.0 im)) 3)
50.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify131.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	658	1375
1	3488	814
2	5001	805

prune488.0ms

Filtered

196 candidates to 109 candidates (55.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	196	4	200

Merged error: 0b

Counts

200 → 4

regimes194.0ms

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	13	9
1	13	9

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.3s	2973×	body	1280	valid
650.0ms	2524×	body	640	valid
491.0ms	8601×	body	80	valid
213.0ms	1222×	body	320	valid
79.0ms	631×	body	160	valid