Details

sample87.0ms

Algorithm

intervals

Results

35.0ms	88×	body	1280	valid
16.0ms	74×	body	640	valid
13.0ms	295×	body	80	valid
5.0ms	38×	body	320	valid
3.0ms	29×	body	160	valid

simplify72.0ms

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

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)))

rewrite109.0ms

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:

32.0ms	(+ (exp (- 0.0 im)) (exp im))
74.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (exp (- 0.0 im)) (exp im))
68.0ms	(* (* 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

prune169.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

20.0ms	(log (+ (exp (- 0.0 im)) (exp im)))
31.0ms	(+ (exp (- 0.0 im)) (exp im))
74.0ms	(* (* 0.5 (sin re)) (exp (log (+ (exp (- 0.0 im)) (exp im)))))
25.0ms	(exp (log (+ (exp (- 0.0 im)) (exp im))))

series197.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(log (+ (exp (- 0.0 im)) (exp im)))
23.0ms	(+ (exp (- 0.0 im)) (exp im))
70.0ms	(* (* 0.5 (sin re)) (exp (log (+ (exp (- 0.0 im)) (exp im)))))
23.0ms	(exp (log (+ (exp (- 0.0 im)) (exp im))))

simplify41.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	326	737
1	1310	641
2	5002	622

prune310.0ms

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	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
0.1b	(expm1 (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
0.1b	(log1p (expm1 (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

31.0ms	(+ (exp (- 0.0 im)) (exp im))
72.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
0.0ms	(expm1 (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
0.0ms	(log1p (expm1 (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

series323.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (exp (- 0.0 im)) (exp im))
71.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
114.0ms	(expm1 (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
114.0ms	(log1p (expm1 (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

simplify43.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	322	639
1	1369	549
2	5001	547

prune410.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	9
1	16	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	3040×	body	1280	valid
559.0ms	2453×	body	640	valid
413.0ms	8446×	body	80	valid
186.0ms	1231×	body	320	valid
61.0ms	608×	body	160	valid