Details

sample84.0ms

Algorithm

intervals

Results

35.0ms	94×	body	1280	valid
15.0ms	71×	body	640	valid
13.0ms	283×	body	80	valid
5.0ms	34×	body	320	valid
2.0ms	26×	body	160	valid

simplify71.0ms

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))

rewrite9.0ms

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:

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

simplify121.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (116.0ms)

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

prune132.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))))
0.3b	(cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))
0.3b	(cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))
0.3b	(cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

5.0ms	(* (cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))))
2.0ms	(cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))
2.0ms	(cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))
2.0ms	(cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))

series557.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))))
130.0ms	(cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))
135.0ms	(cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))
132.0ms	(cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))

simplify101.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	169	875
1	633	748
2	3086	674
3	5001	646

prune217.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
35×	`pow-prod-down`
18×	`sqrt-pow1` `pow1/2` `add-cbrt-cube`
17×	`add-exp-log`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`prod-exp` `pow-prod-up` `cbrt-unprod`
6×	`sqrt-prod` `pow-sqr`
5×	`sqrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`rem-sqrt-square` `pow-plus`
1×	`cbrt-undiv` `pow2` `frac-2neg` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `rem-square-sqrt` `*-commutative` `div-inv`

Counts

4 → 105

Calls

4 calls:

4.0ms	(/ 0.5 (exp im))
2.0ms	(sqrt (cos re))
2.0ms	(sqrt (cos re))
14.0ms	(* (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (cos re))))

series117.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ 0.5 (exp im))
15.0ms	(sqrt (cos re))
21.0ms	(sqrt (cos re))
68.0ms	(* (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (cos re))))

simplify42.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	288	712
1	1234	538
2	5001	524

prune285.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes56.0ms

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	9	6
1	9	6

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.3s	2953×	body	1280	valid
550.0ms	2518×	body	640	valid
389.0ms	8564×	body	80	valid
169.0ms	1200×	body	320	valid
59.0ms	615×	body	160	valid