Details

sample100.0ms

Algorithm

intervals

Results

47.0ms	98×	body	1280	valid
17.0ms	73×	body	640	valid
13.0ms	254×	body	80	valid
6.0ms	38×	body	320	valid
2.0ms	18×	body	160	valid

simplify77.0ms

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

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

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

series139.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
49.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))
13.0ms	(/ 0.5 (exp im))

simplify126.0ms

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

prune136.0ms

Filtered

68 candidates to 52 candidates (76.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0.0b

Counts

69 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma 0.5 (exp im) (exp (- (log 0.5) im))) (cos re))
0.0b	(- (log 0.5) im)
0.0b	(fma 0.5 (exp im) (exp (- (log 0.5) im)))
0.1b	(exp (- (log 0.5) im))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`add-cube-cbrt` `prod-diff`
17×	`exp-sum`
15×	`pow1`
9×	`log-pow`
7×	`add-log-exp`
6×	`add-exp-log` `log-prod` `exp-prod` `associate--l+` `add-cbrt-cube`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u` `distribute-lft-out--`
3×	`associate-r` `associate-l`
2×	`sub-neg` `diff-log` `rem-exp-log` `difference-of-squares`
1×	`flip3--` `exp-diff` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

4.0ms	(* (fma 0.5 (exp im) (exp (- (log 0.5) im))) (cos re))
5.0ms	(- (log 0.5) im)
1.0ms	(fma 0.5 (exp im) (exp (- (log 0.5) im)))
7.0ms	(exp (- (log 0.5) im))

series352.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (fma 0.5 (exp im) (exp (- (log 0.5) im))) (cos re))
164.0ms	(- (log 0.5) im)
71.0ms	(fma 0.5 (exp im) (exp (- (log 0.5) im)))
20.0ms	(exp (- (log 0.5) im))

simplify38.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	292	825
1	971	588
2	5001	535

prune214.0ms

Filtered

113 candidates to 71 candidates (62.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	2	115

Merged error: 0.0b

Counts

115 → 2

regimes42.0ms

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

sample3.0s

Algorithm

intervals

Results

1.3s	2952×	body	1280	valid
628.0ms	2506×	body	640	valid
466.0ms	8751×	body	80	valid
213.0ms	1225×	body	320	valid
73.0ms	653×	body	160	valid