Details

sample86.0ms

Algorithm

intervals

Results

34.0ms	91×	body	1280	valid
18.0ms	91×	body	640	valid
13.0ms	280×	body	80	valid
4.0ms	32×	body	320	valid
2.0ms	17×	body	160	valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	23	7
1	60	7
2	112	7
3	236	7
4	520	6
5	702	6
6	1514	6
7	2284	6
8	5001	6

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `associate-r` `add-log-exp`
3×	`fma-def` `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` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 42

Calls

2 calls:

10.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
6.0ms	(+ (exp (- im)) (exp im))

series90.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
24.0ms	(+ (exp (- im)) (exp im))

simplify41.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	258	374
1	1276	311
2	5002	307

prune98.0ms

Filtered

48 candidates to 35 candidates (72.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	2	49

Merged error: 0b

Counts

49 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
0.0b	(+ (exp (- im)) (exp im))
0.1b	(exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
0.3b	(log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`pow1`
9×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`log-prod`
4×	`expm1-log1p-u` `associate-r` `exp-sum` `log1p-expm1-u`
3×	`distribute-rgt-in` `fma-def` `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` `rem-log-exp` `associate-l` `sum-log` `*-commutative` `rem-exp-log`

Counts

4 → 74

Calls

4 calls:

10.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
9.0ms	(+ (exp (- im)) (exp im))
4.0ms	(exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
3.0ms	(log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))

series239.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
29.0ms	(+ (exp (- im)) (exp im))
88.0ms	(exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
60.0ms	(log (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))

simplify49.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	323	734
1	1463	624
2	5002	617

prune199.0ms

Filtered

86 candidates to 61 candidates (70.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	86	2	88

Merged error: 0b

Counts

88 → 2

regimes99.0ms

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	7
1	13	7

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	2987×	body	1280	valid
538.0ms	2430×	body	640	valid
378.0ms	8487×	body	80	valid
174.0ms	1208×	body	320	valid
59.0ms	623×	body	160	valid