Details

sample88.0ms

Algorithm

intervals

Results

35.0ms	99×	body	1280	valid
16.0ms	78×	body	640	valid
15.0ms	272×	body	80	valid
7.0ms	48×	body	320	valid
2.0ms	19×	body	160	valid

simplify72.0ms

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)

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))

series132.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))
72.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
13.0ms	(/ 0.5 (exp im))

simplify123.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (118.0ms)

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

prune170.0ms

Filtered

68 candidates to 52 candidates (76.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma 0.5 (exp im) (/ (sqrt 0.5) (/ (exp im) (sqrt 0.5)))) (cos re))
0.0b	(fma 0.5 (exp im) (/ (sqrt 0.5) (/ (exp im) (sqrt 0.5))))
0.0b	(/ (sqrt 0.5) (/ (exp im) (sqrt 0.5)))
1.0b	(/ (exp im) (sqrt 0.5))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
160×	`add-sqr-sqrt`
158×	`add-cube-cbrt` `*-un-lft-identity`
144×	`sqrt-prod`
28×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`add-exp-log`
9×	`div-inv` `associate-/l*`
6×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`frac-2neg` `clear-num`
1×	`pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 248

Calls

4 calls:

3.0ms	(* (fma 0.5 (exp im) (/ (sqrt 0.5) (/ (exp im) (sqrt 0.5)))) (cos re))
0.0ms	(fma 0.5 (exp im) (/ (sqrt 0.5) (/ (exp im) (sqrt 0.5))))
12.0ms	(/ (sqrt 0.5) (/ (exp im) (sqrt 0.5)))
4.0ms	(/ (exp im) (sqrt 0.5))

series374.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (fma 0.5 (exp im) (/ (sqrt 0.5) (/ (exp im) (sqrt 0.5)))) (cos re))
95.0ms	(fma 0.5 (exp im) (/ (sqrt 0.5) (/ (exp im) (sqrt 0.5))))
68.0ms	(/ (sqrt 0.5) (/ (exp im) (sqrt 0.5)))
50.0ms	(/ (exp im) (sqrt 0.5))

simplify90.0ms

Algorithm

egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	695	2898
1	3441	2537
2	5001	2501

prune543.0ms

Filtered

260 candidates to 142 candidates (54.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `fma-udef` `div-inv` `associate-/l*`

Counts

2 → 33

Calls

2 calls:

0.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* (cos re) 0.5) (exp im)))
4.0ms	(/ (* (cos re) 0.5) (exp im))

series125.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* (cos re) 0.5) (exp im)))
36.0ms	(/ (* (cos re) 0.5) (exp im))

simplify96.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	186	289
1	765	243
2	3831	241
3	5001	240

prune115.0ms

Filtered

39 candidates to 32 candidates (82.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt 0.5) (/ (exp im) (sqrt 0.5)))
0.0b	(exp (log (fma 0.5 (exp im) (/ (sqrt 0.5) (/ (exp im) (sqrt 0.5))))))
1.0b	(/ (exp im) (sqrt 0.5))
2.6b	(log (fma 0.5 (exp im) (/ (sqrt 0.5) (/ (exp im) (sqrt 0.5)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
159×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
144×	`sqrt-prod`
28×	`associate-/r*`
11×	`add-cbrt-cube`
10×	`add-exp-log`
9×	`div-inv` `associate-/l*`
6×	`pow1` `log-prod`
4×	`cbrt-undiv` `expm1-log1p-u` `exp-prod` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`exp-sum`
2×	`frac-2neg` `clear-num` `log-pow`
1×	`rem-log-exp` `associate-/r/` `rem-exp-log`

Counts

4 → 249

Calls

4 calls:

9.0ms	(/ (sqrt 0.5) (/ (exp im) (sqrt 0.5)))
1.0ms	(exp (log (fma 0.5 (exp im) (/ (sqrt 0.5) (/ (exp im) (sqrt 0.5))))))
4.0ms	(/ (exp im) (sqrt 0.5))
1.0ms	(log (fma 0.5 (exp im) (/ (sqrt 0.5) (/ (exp im) (sqrt 0.5)))))

series470.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ (sqrt 0.5) (/ (exp im) (sqrt 0.5)))
93.0ms	(exp (log (fma 0.5 (exp im) (/ (sqrt 0.5) (/ (exp im) (sqrt 0.5))))))
54.0ms	(/ (exp im) (sqrt 0.5))
257.0ms	(log (fma 0.5 (exp im) (/ (sqrt 0.5) (/ (exp im) (sqrt 0.5)))))

simplify115.0ms

Algorithm

egg-herbie

Counts

261 → 261

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	730	2946
1	3700	2589
2	5001	2549

prune666.0ms

Filtered

261 candidates to 140 candidates (53.6%)

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

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	8
1	13	8

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	3006×	body	1280	valid
521.0ms	2552×	body	640	valid
357.0ms	8589×	body	80	valid
165.0ms	1267×	body	320	valid
60.0ms	654×	body	160	valid