Details

sample85.0ms

Algorithm

intervals

Results

32.0ms	83×	body	1280	valid
18.0ms	82×	body	640	valid
15.0ms	259×	body	80	valid
5.0ms	32×	body	320	valid
2.0ms	16×	body	160	valid

simplify76.0ms

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

series85.0ms

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 (36.0ms)

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

prune128.0ms

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

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

series158.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
41.0ms	(/ (* 0.5 (cos re)) (exp im))
35.0ms	(* (* 0.5 (cos re)) (exp im))

simplify51.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	297	490
1	1687	421
2	5002	416

prune175.0ms

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 (cos re)) (exp im))
0.0b	(* (* 0.5 (cos re)) (exp im))
0.2b	(log1p (* (* 0.5 (cos re)) (exp im)))
0.2b	(expm1 (log1p (* (* 0.5 (cos re)) (exp im))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-cbrt-cube`
10×	`add-exp-log`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`expm1-log1p-u`
4×	`prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/r*`
2×	`cbrt-undiv` `div-exp`
1×	`log1p-udef` `expm1-log1p` `frac-2neg` `log1p-expm1` `associate-l` `clear-num` `-commutative` `div-inv` `associate-/l` `expm1-udef`

Counts

4 → 65

Calls

4 calls:

9.0ms	(/ (* 0.5 (cos re)) (exp im))
6.0ms	(* (* 0.5 (cos re)) (exp im))
1.0ms	(log1p (* (* 0.5 (cos re)) (exp im)))
1.0ms	(expm1 (log1p (* (* 0.5 (cos re)) (exp im))))

series207.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (* 0.5 (cos re)) (exp im))
35.0ms	(* (* 0.5 (cos re)) (exp im))
68.0ms	(log1p (* (* 0.5 (cos re)) (exp im)))
61.0ms	(expm1 (log1p (* (* 0.5 (cos re)) (exp im))))

simplify41.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	250	458
1	1271	382
2	5001	377

prune201.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes102.0ms

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

sample2.7s

Algorithm

intervals

Results

1.2s	3017×	body	1280	valid
550.0ms	2482×	body	640	valid
396.0ms	8568×	body	80	valid
170.0ms	1196×	body	320	valid
59.0ms	613×	body	160	valid