Details

sample89.0ms

Algorithm

intervals

Results

38.0ms	95×	body	1280	valid
18.0ms	83×	body	640	valid
13.0ms	305×	body	80	valid
4.0ms	29×	body	320	valid
2.0ms	18×	body	160	valid

simplify73.0ms

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

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

rewrite35.0ms

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:

25.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
9.0ms	(+ (exp (- im)) (exp im))

series85.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
27.0ms	(+ (exp (- im)) (exp im))

simplify39.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (35.0ms)

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

prune126.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

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))
10.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
4.0ms	(/ (* 0.5 (cos re)) (exp im))

series161.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* (* 0.5 (cos re)) (exp im))
84.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
41.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify49.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (44.0ms)

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

prune173.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- im)) 3)
0.0b	(* (exp im) (exp im))
0.1b	(pow (exp im) 3)
6.6b	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

31×	`exp-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow-pow`
13×	`pow1`
8×	`add-cbrt-cube`
6×	`unpow-prod-down` `pow-unpow` `cube-prod` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `swap-sqr` `associate-r` `associate-l`
2×	`cube-div` `cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `flip3--` `distribute-rgt-out--` `pow-plus` `exp-diff` `fma-neg` `diff-log` `prod-diff` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

4.0ms	(pow (exp (- im)) 3)
7.0ms	(* (exp im) (exp im))
2.0ms	(pow (exp im) 3)
7.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

series119.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(pow (exp (- im)) 3)
13.0ms	(* (exp im) (exp im))
24.0ms	(pow (exp im) 3)
51.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

simplify125.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	389	526
1	2239	444
2	5001	380

prune415.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes59.0ms

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

sample2.6s

Algorithm

intervals

Results

1.1s	3018×	body	1280	valid
523.0ms	2483×	body	640	valid
371.0ms	8610×	body	80	valid
173.0ms	1240×	body	320	valid
57.0ms	617×	body	160	valid