Details

sample114.0ms

Algorithm

intervals

Results

45.0ms	99×	body	1280	valid
23.0ms	89×	body	640	valid
15.0ms	286×	body	80	valid
7.0ms	37×	body	320	valid
3.0ms	25×	body	160	valid

simplify69.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)))

rewrite183.0ms

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:

53.0ms	(+ (exp (- 0.0 im)) (exp im))
128.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
71.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (32.0ms)

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

prune304.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

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))

rewrite151.0ms

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:

57.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
64.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
27.0ms	(* (* 0.5 (sin re)) (exp im))

series181.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
49.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
39.0ms	(* (* 0.5 (sin re)) (exp im))

simplify63.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (57.0ms)

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

prune192.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
0.1b	(exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
3.1b	(log (exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

53.0ms	(+ (exp (- 0.0 im)) (exp im))
132.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
26.0ms	(exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
26.0ms	(log (exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

series248.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (exp (- 0.0 im)) (exp im))
70.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
74.0ms	(exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
81.0ms	(log (exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

simplify45.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	335	731
1	1416	632
2	5001	630

prune282.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes167.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b 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

1.2s	3021×	body	1280	valid
547.0ms	2427×	body	640	valid
437.0ms	8638×	body	80	valid
183.0ms	1253×	body	320	valid
67.0ms	663×	body	160	valid