Details

sample88.0ms

Algorithm

intervals

Results

32.0ms	81×	body	1280	valid
21.0ms	76×	body	640	valid
12.0ms	250×	body	80	valid
5.0ms	33×	body	320	valid
2.0ms	20×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite114.0ms

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:

34.0ms	(+ (exp (- 0.0 im)) (exp im))
78.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (- 0.0 im)) (exp im))
72.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify39.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (34.0ms)

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

prune190.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 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)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

27.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
33.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series143.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
47.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify57.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	381	491
1	1740	396
2	5001	391

prune164.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series96.0ms

Counts

1 → 3

Calls

1 calls:

96.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	104	151
1	250	127
2	863	122
3	5001	121

prune49.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

28×	`sqrt-prod`
27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
22×	`exp-sum`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`sqrt-pow1`
11×	`pow1`
10×	`exp-prod`
9×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
2×	`sub-neg` `rem-sqrt-square` `pow1/2` `exp-diff` `sqrt-div` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 96

Calls

4 calls:

8.0ms	(* (* 0.5 (sin re)) (fma (sqrt (exp (- 0.0 im))) (sqrt (exp (- 0.0 im))) (exp im)))
12.0ms	(sqrt (exp (- 0.0 im)))
12.0ms	(sqrt (exp (- 0.0 im)))
0.0ms	(fma (sqrt (exp (- 0.0 im))) (sqrt (exp (- 0.0 im))) (exp im))

series206.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (* 0.5 (sin re)) (fma (sqrt (exp (- 0.0 im))) (sqrt (exp (- 0.0 im))) (exp im)))
15.0ms	(sqrt (exp (- 0.0 im)))
20.0ms	(sqrt (exp (- 0.0 im)))
67.0ms	(fma (sqrt (exp (- 0.0 im))) (sqrt (exp (- 0.0 im))) (exp im))

simplify44.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	333	960
1	1204	729
2	5001	619

prune327.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes70.0ms

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

sample2.9s

Algorithm

intervals

Results

1.2s	3015×	body	1280	valid
596.0ms	2402×	body	640	valid
442.0ms	8544×	body	80	valid
199.0ms	1255×	body	320	valid
70.0ms	625×	body	160	valid