Details

sample210.0ms

Algorithm

intervals

Results

73.0ms	92×	body	1280	valid
59.0ms	276×	body	80	valid
37.0ms	73×	body	640	valid
15.0ms	38×	body	320	valid
5.0ms	19×	body	160	valid

simplify7.8s

Counts

1 → 1

Iterations

Iter	Nodes
11	2238
10	1646
9	1356
8	1065
7	920
6	799
5	382
4	205
3	115
2	62
1	27
0	11

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

14.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (sin re))
5.0ms	(/ 0.5 (exp im))

series132.0ms

Counts

2 → 6

Calls

2 calls:

113.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (sin re))
19.0ms	(/ 0.5 (exp im))

simplify3.3s

Counts

57 → 57

Iterations

Iter	Nodes
4	6986
3	1385
2	487
1	216
0	106

prune648.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity` `add-cube-cbrt`
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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

28.0ms	(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sin re)))
10.0ms	(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sin re))
5.0ms	(/ 0.5 (exp im))
5.0ms	(/ 0.5 (exp im))

series320.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sin re)))
186.0ms	(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sin re))
23.0ms	(/ 0.5 (exp im))
14.0ms	(/ 0.5 (exp im))

simplify807.0ms

Counts

121 → 121

Iterations

Iter	Nodes
3	2188
2	749
1	307
0	139

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	9
1	9
0	8

end0.0ms

sample9.4s

Algorithm

intervals

Results

4.7s	2968×	body	1280	valid
2.0s	2509×	body	640	valid
1.5s	8489×	body	80	valid
603.0ms	1242×	body	320	valid
180.0ms	613×	body	160	valid