Details

sample84.0ms

Algorithm

intervals

Results

35.0ms	99×	body	1280	valid
16.0ms	77×	body	640	valid
12.0ms	290×	body	80	valid
5.0ms	38×	body	320	valid
2.0ms	18×	body	160	valid

simplify72.0ms

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

0.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))
3.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
3.0ms	(/ 0.5 (exp im))

series123.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))
68.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
13.0ms	(/ 0.5 (exp im))

simplify120.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	215	417
1	712	366
2	4318	366
3	5001	364

prune167.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))
0.0b	(* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))
0.0b	(/ (sqrt 0.5) (exp im))
1.0b	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
29×	`sqrt-prod`
25×	`associate-r`
13×	`add-cbrt-cube`
11×	`add-exp-log`
9×	`associate-l`
8×	`pow1`
7×	`unswap-sqr`
6×	`associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`frac-2neg` `associate-*r/` `clear-num` `fma-udef`

Counts

4 → 121

Calls

4 calls:

0.0ms	(fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))
3.0ms	(* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))
4.0ms	(/ (sqrt 0.5) (exp im))
16.0ms	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))
164.0ms	(* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))
34.0ms	(/ (sqrt 0.5) (exp im))
67.0ms	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

simplify62.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	383	1087
1	1654	936
2	5002	897

prune332.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ 0.5 (exp im)))
0.0b	(cbrt (/ 0.5 (exp im)))
0.0b	(cbrt (/ 0.5 (exp im)))
1.0b	(* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

2.0ms	(cbrt (/ 0.5 (exp im)))
2.0ms	(cbrt (/ 0.5 (exp im)))
2.0ms	(cbrt (/ 0.5 (exp im)))
22.0ms	(* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im))))

series523.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt (/ 0.5 (exp im)))
125.0ms	(cbrt (/ 0.5 (exp im)))
115.0ms	(cbrt (/ 0.5 (exp im)))
159.0ms	(* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im))))

simplify45.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	258	1445
1	986	1390
2	5002	1326

prune527.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes52.0ms

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	3006×	body	1280	valid
537.0ms	2570×	body	640	valid
373.0ms	8549×	body	80	valid
175.0ms	1264×	body	320	valid
54.0ms	590×	body	160	valid