Details

sample81.0ms

Algorithm

intervals

Results

32.0ms	91×	body	1280	valid
15.0ms	73×	body	640	valid
12.0ms	281×	body	80	valid
5.0ms	37×	body	320	valid
3.0ms	30×	body	160	valid

simplify74.0ms

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

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

9.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
6.0ms	(+ (exp (- im)) (exp im))

series86.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
23.0ms	(+ (exp (- im)) (exp im))

simplify40.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (35.0ms)

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

prune101.0ms

Filtered

48 candidates to 35 candidates (72.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	2	49

Merged error: 0b

Counts

49 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`fma-def`
6×	`times-frac`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `associate-/r*` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `div-exp`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `-commutative` `flip-+` `distribute-lft-out` `associate-/l`

Counts

3 → 64

Calls

3 calls:

6.0ms	(* (* 0.5 (cos re)) (exp im))
5.0ms	(/ (* 0.5 (cos re)) (exp im))
9.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* (* 0.5 (cos re)) (exp im))
37.0ms	(/ (* 0.5 (cos re)) (exp im))
85.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))

simplify55.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	297	490
1	1687	421
2	5001	416

prune139.0ms

Filtered

73 candidates to 57 candidates (78.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	73	2	75

Merged error: 0b

Counts

75 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (fma (pow im 4) 1/12 (fma im im 2)))
0.0b	(fma (pow im 4) 1/12 (fma im im 2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 32

Calls

2 calls:

5.0ms	(* (* 0.5 (cos re)) (fma (pow im 4) 1/12 (fma im im 2)))
1.0ms	(fma (pow im 4) 1/12 (fma im im 2))

series166.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(* (* 0.5 (cos re)) (fma (pow im 4) 1/12 (fma im im 2)))
41.0ms	(fma (pow im 4) 1/12 (fma im im 2))

simplify32.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	182	279
1	901	232
2	5001	230

prune77.0ms

Filtered

38 candidates to 26 candidates (68.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	38	2	40

Merged error: 0b

Counts

40 → 2

regimes55.0ms

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	12	9
1	12	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	2867×	body	1280	valid
511.0ms	2424×	body	640	valid
368.0ms	8537×	body	80	valid
179.0ms	1280×	body	320	valid
59.0ms	582×	body	160	valid