Details

sample212.0ms

Algorithm

intervals

Results

100.0ms	98×	body	1280	valid
44.0ms	82×	body	640	valid
33.0ms	276×	body	80	valid
12.0ms	31×	body	320	valid
5.0ms	17×	body	160	valid

simplify7.5s

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

prune10.0ms

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))

rewrite21.0ms

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:

8.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (sin re))
11.0ms	(/ 0.5 (exp im))

series157.0ms

Counts

2 → 6

Calls

2 calls:

128.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (sin re))
29.0ms	(/ 0.5 (exp im))

simplify3.4s

Counts

57 → 57

Iterations

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

prune594.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))
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	(/ 0.5 (exp im))
0.0b	(/ 0.5 (exp im))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
13×	`add-cbrt-cube`
11×	`add-exp-log`
10×	`pow1`
6×	`associate-/r` `associate-l` `sqrt-prod` `associate-/l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r` `*-commutative`

Counts

4 → 100

Calls

4 calls:

1.0ms	(sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))
33.0ms	(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sin re)))
10.0ms	(/ 0.5 (exp im))
5.0ms	(/ 0.5 (exp im))

series259.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))
122.0ms	(* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sin re)))
25.0ms	(/ 0.5 (exp im))
21.0ms	(/ 0.5 (exp im))

simplify4.8s

Counts

112 → 112

Iterations

Iter	Nodes
4	9044
3	1661
2	648
1	279
0	130

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes113.0ms

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

sample9.3s

Algorithm

intervals

Results

4.3s	2961×	body	1280	valid
1.9s	2463×	body	640	valid
1.4s	8412×	body	80	valid
1.1s	1191×	body	320	valid
231.0ms	615×	body	160	valid