Details

sample88.0ms

Algorithm

intervals

Results

37.0ms	101×	body	1280	valid
15.0ms	77×	body	640	valid
14.0ms	248×	body	80	valid
6.0ms	47×	body	320	valid
2.0ms	23×	body	160	valid

simplify74.0ms

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

localize8.0ms

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))

series127.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(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))

simplify124.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (119.0ms)

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma 0.5 (exp im) (cbrt (pow (/ 0.5 (exp im)) 3))) (cos re))
0.0b	(/ 0.5 (exp im))
0.0b	(pow (/ 0.5 (exp im)) 3)
1.0b	(cbrt (pow (/ 0.5 (exp im)) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
45×	`times-frac`
44×	`add-cube-cbrt` `*-un-lft-identity`
32×	`cbrt-prod`
26×	`unpow-prod-down` `cube-prod`
11×	`add-cbrt-cube`
9×	`add-exp-log`
7×	`pow1`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

6.0ms	(* (fma 0.5 (exp im) (cbrt (pow (/ 0.5 (exp im)) 3))) (cos re))
3.0ms	(/ 0.5 (exp im))
5.0ms	(pow (/ 0.5 (exp im)) 3)
5.0ms	(cbrt (pow (/ 0.5 (exp im)) 3))

series135.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (fma 0.5 (exp im) (cbrt (pow (/ 0.5 (exp im)) 3))) (cos re))
13.0ms	(/ 0.5 (exp im))
38.0ms	(pow (/ 0.5 (exp im)) 3)
13.0ms	(cbrt (pow (/ 0.5 (exp im)) 3))

simplify61.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	447	951
1	1966	828
2	5001	816

prune335.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (/ 0.5 (exp im)) 3)
0.2b	(log1p (expm1 (* (fma 0.5 (exp im) (cbrt (pow (/ 0.5 (exp im)) 3))) (cos re))))
0.6b	(expm1 (* (fma 0.5 (exp im) (cbrt (pow (/ 0.5 (exp im)) 3))) (cos re)))
1.0b	(cbrt (pow (/ 0.5 (exp im)) 3))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`cbrt-prod`
26×	`unpow-prod-down` `cube-prod`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `log1p-expm1-u`
4×	`expm1-log1p-u` `div-inv` `add-log-exp`
3×	`pow-unpow`
2×	`cube-div` `cube-mult` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `cbrt-div` `log1p-udef` `expm1-log1p` `pow-pow` `pow1/3` `log1p-expm1` `div-exp` `rem-cbrt-cube` `expm1-udef`

Counts

4 → 114

Calls

4 calls:

8.0ms	(pow (/ 0.5 (exp im)) 3)
0.0ms	(log1p (expm1 (* (fma 0.5 (exp im) (cbrt (pow (/ 0.5 (exp im)) 3))) (cos re))))
0.0ms	(expm1 (* (fma 0.5 (exp im) (cbrt (pow (/ 0.5 (exp im)) 3))) (cos re)))
5.0ms	(cbrt (pow (/ 0.5 (exp im)) 3))

series261.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(pow (/ 0.5 (exp im)) 3)
101.0ms	(log1p (expm1 (* (fma 0.5 (exp im) (cbrt (pow (/ 0.5 (exp im)) 3))) (cos re))))
104.0ms	(expm1 (* (fma 0.5 (exp im) (cbrt (pow (/ 0.5 (exp im)) 3))) (cos re)))
13.0ms	(cbrt (pow (/ 0.5 (exp im)) 3))

simplify52.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	428	888
1	1798	764
2	5001	754

prune293.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes48.0ms

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

sample2.5s

Algorithm

intervals

Results

1.1s	2990×	body	1280	valid
501.0ms	2386×	body	640	valid
366.0ms	8530×	body	80	valid
162.0ms	1205×	body	320	valid
61.0ms	645×	body	160	valid