Details

sample93.0ms

Algorithm

intervals

Results

36.0ms	94×	body	1280	valid
20.0ms	89×	body	640	valid
12.0ms	255×	body	80	valid
7.0ms	45×	body	320	valid
3.0ms	26×	body	160	valid

simplify73.0ms

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

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 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)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

11.0ms	(+ (exp (- 0.0 im)) (exp im))
22.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (exp (- 0.0 im)) (exp im))
65.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify43.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	360	512
1	1488	455
2	5002	453

prune212.0ms

Filtered

74 candidates to 57 candidates (77.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	70	4	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	5	75

Merged error: 0b

Counts

75 → 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))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

87×	`associate-l`
59×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
48×	`associate-r`
34×	`add-cube-cbrt`
33×	`fma-def`
22×	`exp-sum`
21×	`distribute-lft-out`
19×	`add-exp-log`
18×	`prod-diff`
14×	`unswap-sqr`
13×	`pow1` `add-cbrt-cube`
12×	`prod-exp`
10×	`*-commutative`
6×	`pow-prod-down` `cbrt-unprod`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`sub-neg`
1×	`+-commutative` `distribute-rgt-out` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+`

Counts

3 → 150

Calls

3 calls:

77.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
16.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
9.0ms	(* (* 0.5 (sin re)) (exp im))

series172.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
42.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
40.0ms	(* (* 0.5 (sin re)) (exp im))

simplify70.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	543	937
1	2219	826
2	5002	821

prune441.0ms

Filtered

159 candidates to 116 candidates (73.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	157	2	159
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	160	4	164

Merged error: 0b

Counts

164 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
23×	`associate-r`
22×	`cbrt-prod`
21×	`associate-l`
16×	`pow1`
14×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`exp-sum`
9×	`prod-diff`
8×	`pow1/3` `unswap-sqr`
7×	`prod-exp` `cbrt-unprod`
6×	`swap-sqr`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `sub-neg` `pow-plus` `exp-diff` `associate-*r/`

Counts

4 → 118

Calls

4 calls:

2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))
6.0ms	(* (cbrt (exp im)) (cbrt (exp im)))
19.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series431.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(cbrt (exp im))
78.0ms	(cbrt (exp im))
94.0ms	(* (cbrt (exp im)) (cbrt (exp im)))
43.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify48.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	422	798
1	1521	695
2	5001	643

prune375.0ms

Filtered

130 candidates to 86 candidates (66.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	130	4	134

Merged error: 0b

Counts

134 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* 0.5 (sin re)))
0.0b	(sqrt (* 0.5 (sin re)))
0.0b	(* (* 0.5 (sin re)) (exp im))
0.1b	(fma (* (sqrt (* 0.5 (sin re))) (sqrt (exp (- 0.0 im)))) (* (sqrt (* 0.5 (sin re))) (sqrt (exp (- 0.0 im)))) (* (* 0.5 (sin re)) (exp im)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`associate-l`
15×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `associate-r`
9×	`add-cbrt-cube`
8×	`unswap-sqr`
6×	`prod-exp`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-unprod`
2×	`pow1/2`
1×	`fma-udef`

Counts

4 → 97

Calls

4 calls:

5.0ms	(sqrt (* 0.5 (sin re)))
5.0ms	(sqrt (* 0.5 (sin re)))
9.0ms	(* (* 0.5 (sin re)) (exp im))
1.0ms	(fma (* (sqrt (* 0.5 (sin re))) (sqrt (exp (- 0.0 im)))) (* (sqrt (* 0.5 (sin re))) (sqrt (exp (- 0.0 im)))) (* (* 0.5 (sin re)) (exp im)))

series322.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sqrt (* 0.5 (sin re)))
52.0ms	(sqrt (* 0.5 (sin re)))
36.0ms	(* (* 0.5 (sin re)) (exp im))
182.0ms	(fma (* (sqrt (* 0.5 (sin re))) (sqrt (exp (- 0.0 im)))) (* (sqrt (* 0.5 (sin re))) (sqrt (exp (- 0.0 im)))) (* (* 0.5 (sin re)) (exp im)))

simplify45.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	325	774
1	1319	683
2	5002	639

prune354.0ms

Filtered

109 candidates to 82 candidates (75.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	109	4	113

Merged error: 0b

Counts

113 → 4

regimes152.0ms

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	7
1	14	7

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	2874×	body	1280	valid
557.0ms	2384×	body	640	valid
412.0ms	8452×	body	80	valid
174.0ms	1177×	body	320	valid
65.0ms	602×	body	160	valid