Details

sample240.0ms

Algorithm

intervals

Results

95.0ms	100×	body	1280	valid
58.0ms	95×	body	640	valid
44.0ms	262×	body	80	valid
15.0ms	35×	body	320	valid
6.0ms	22×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
12	1275
11	1275
10	1257
9	1219
8	1163
7	1039
6	851
5	584
4	226
3	102
2	59
1	23
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

1.0ms	(fma (exp im) 0.5 (/ 0.5 (exp im)))
11.0ms	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))
5.0ms	(/ 0.5 (exp im))

series162.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(fma (exp im) 0.5 (/ 0.5 (exp im)))
97.0ms	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))
22.0ms	(/ 0.5 (exp im))

simplify3.0s

Counts

71 → 71

Iterations

Iter	Nodes
4	7365
3	1429
2	481
1	220
0	113

prune746.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
160×	`add-sqr-sqrt`
158×	`*-un-lft-identity` `add-cube-cbrt`
144×	`sqrt-prod`
28×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`add-exp-log`
9×	`div-inv` `associate-/l*`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 252

Calls

4 calls:

0.0ms	(fma (exp im) 0.5 (/ (sqrt 0.5) (/ (exp im) (sqrt 0.5))))
15.0ms	(* (fma (exp im) 0.5 (/ (sqrt 0.5) (/ (exp im) (sqrt 0.5)))) (cos re))
18.0ms	(/ (sqrt 0.5) (/ (exp im) (sqrt 0.5)))
14.0ms	(/ (exp im) (sqrt 0.5))

series568.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(fma (exp im) 0.5 (/ (sqrt 0.5) (/ (exp im) (sqrt 0.5))))
258.0ms	(* (fma (exp im) 0.5 (/ (sqrt 0.5) (/ (exp im) (sqrt 0.5)))) (cos re))
111.0ms	(/ (sqrt 0.5) (/ (exp im) (sqrt 0.5)))
79.0ms	(/ (exp im) (sqrt 0.5))

simplify735.0ms

Counts

264 → 264

Iterations

Iter	Nodes
2	2236
1	777
0	322

prune3.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes115.0ms

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

sample8.5s

Algorithm

intervals

Results

4.2s	3016×	body	1280	valid
1.8s	2459×	body	640	valid
1.4s	8451×	body	80	valid
547.0ms	1284×	body	320	valid
237.0ms	650×	body	160	valid