Details

sample79.0ms

Algorithm

intervals

Results

32.0ms	82×	body	1280	valid
13.0ms	290×	body	80	valid
13.0ms	60×	body	640	valid
5.0ms	36×	body	320	valid
2.0ms	23×	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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

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

Counts

2 → 49

Calls

2 calls:

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

series83.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
13.0ms	(/ 0.5 (exp im))

simplify126.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	197	341
1	662	301
2	4131	301
3	5002	299

prune138.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
15×	`add-cbrt-cube`
13×	`add-exp-log`
12×	`associate-l`
11×	`pow1`
7×	`sqrt-prod`
6×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

5.0ms	(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))
11.0ms	(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))
3.0ms	(/ 0.5 (exp im))
3.0ms	(/ 0.5 (exp im))

series192.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))
68.0ms	(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))
12.0ms	(/ 0.5 (exp im))
13.0ms	(/ 0.5 (exp im))

simplify153.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (144.0ms)

Iter	Nodes	Cost
0	276	882
1	1007	758
2	4822	758
3	5001	755

prune356.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 0.5 (exp im))
0.0b	(sqrt (cos re))
0.0b	(sqrt (cos re))
0.1b	(* (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (sqrt (cos re))) (sqrt (cos re)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

3.0ms	(/ 0.5 (exp im))
1.0ms	(sqrt (cos re))
1.0ms	(sqrt (cos re))
12.0ms	(* (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (sqrt (cos re))) (sqrt (cos re)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ 0.5 (exp im))
18.0ms	(sqrt (cos re))
15.0ms	(sqrt (cos re))
70.0ms	(* (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (sqrt (cos re))) (sqrt (cos re)))

simplify38.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	264	548
1	1014	472
2	5002	468

prune247.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	3040×	body	1280	valid
560.0ms	2460×	body	640	valid
409.0ms	8446×	body	80	valid
187.0ms	1247×	body	320	valid
67.0ms	637×	body	160	valid