Details

sample102.0ms

Algorithm

intervals

Results

46.0ms	114×	body	1280	valid
19.0ms	80×	body	640	valid
14.0ms	281×	body	80	valid
5.0ms	31×	body	320	valid
2.0ms	21×	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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

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))

rewrite10.0ms

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:

1.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))
4.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
4.0ms	(/ 0.5 (exp im))

series125.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))
71.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
13.0ms	(/ 0.5 (exp im))

simplify127.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (121.0ms)

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

prune139.0ms

Filtered

68 candidates to 52 candidates (76.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	2	69

Merged error: 0.0b

Counts

69 → 2

localize14.0ms

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)))

rewrite26.0ms

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:

1.0ms	(fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))
4.0ms	(* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))
5.0ms	(/ (sqrt 0.5) (exp im))
12.0ms	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

series349.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))
155.0ms	(* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))
35.0ms	(/ (sqrt 0.5) (exp im))
66.0ms	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

simplify58.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (46.0ms)

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

prune279.0ms

Filtered

133 candidates to 95 candidates (71.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	133	2	135

Merged error: 0.0b

Counts

135 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
0.0b	(/ 0.5 (exp im))
0.5b	(log1p (expm1 (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))))
0.6b	(expm1 (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

6.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
5.0ms	(/ 0.5 (exp im))
1.0ms	(log1p (expm1 (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))))
1.0ms	(expm1 (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
13.0ms	(/ 0.5 (exp im))
101.0ms	(log1p (expm1 (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))))
103.0ms	(expm1 (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))

simplify138.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	250	583
1	819	508
2	4609	506
3	5001	503

prune177.0ms

Filtered

83 candidates to 62 candidates (74.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	83	2	85

Merged error: 0.0b

Counts

85 → 2

regimes43.0ms

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

sample2.8s

Algorithm

intervals

Results

1.2s	3036×	body	1280	valid
575.0ms	2420×	body	640	valid
435.0ms	8656×	body	80	valid
203.0ms	1274×	body	320	valid
64.0ms	590×	body	160	valid