Details

sample130.0ms

Algorithm

intervals

Results

45.0ms	85×	body	1280	valid
31.0ms	73×	body	640	valid
23.0ms	289×	body	80	valid
8.0ms	34×	body	320	valid
3.0ms	16×	body	160	valid

simplify5.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5036
8	3628
7	2011
6	1040
5	510
4	239
3	129
2	62
1	27
0	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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

rewrite41.0ms

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)))
19.0ms	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (sin re))
18.0ms	(/ 0.5 (exp im))

series217.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(fma (exp im) 0.5 (/ 0.5 (exp im)))
145.0ms	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (sin re))
26.0ms	(/ 0.5 (exp im))

simplify1.7s

Counts

71 → 71

Iterations

Iter	Nodes
done	5005
3	2477
2	716
1	246
0	118

prune346.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
8×	`add-cbrt-cube`
6×	`pow1` `associate-/r` `add-exp-log` `sqrt-prod` `associate-/l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `div-inv`

Counts

4 → 92

Calls

4 calls:

1.0ms	(sqrt (fma (exp im) 0.5 (/ 0.5 (exp im))))
1.0ms	(sqrt (fma (exp im) 0.5 (/ 0.5 (exp im))))
6.0ms	(/ 0.5 (exp im))
7.0ms	(/ 0.5 (exp im))

series253.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(sqrt (fma (exp im) 0.5 (/ 0.5 (exp im))))
98.0ms	(sqrt (fma (exp im) 0.5 (/ 0.5 (exp im))))
23.0ms	(/ 0.5 (exp im))
22.0ms	(/ 0.5 (exp im))

simplify2.8s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
4	4076
3	1085
2	409
1	176
0	92

prune715.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes106.0ms

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
done	9
1	9
0	8

end0.0ms

sample7.4s

Algorithm

intervals

Results

2.8s	3095×	body	1280	valid
2.5s	2452×	body	640	valid
1.0s	8610×	body	80	valid
546.0ms	1252×	body	320	valid
129.0ms	589×	body	160	valid