Details

sample172.0ms

Algorithm

intervals

Results

56.0ms	91×	body	1280	valid
35.0ms	41×	body	320	valid
29.0ms	80×	body	640	valid
22.0ms	274×	body	80	valid
3.0ms	14×	body	160	valid

simplify4.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	4594
7	2791
6	1848
5	764
4	238
3	102
2	59
1	23
0	10

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite14.0ms

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` `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 → 59

Calls

3 calls:

0.0ms	(fma (exp im) 0.5 (/ 0.5 (exp im)))
7.0ms	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))
5.0ms	(/ 0.5 (exp im))

series182.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(fma (exp im) 0.5 (/ 0.5 (exp im)))
105.0ms	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))
21.0ms	(/ 0.5 (exp im))

simplify1.5s

Counts

68 → 68

Iterations

Iter	Nodes
done	5003
3	2363
2	639
1	223
0	110

prune445.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

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` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

9.0ms	(* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re))
25.0ms	(* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re)))
5.0ms	(/ 0.5 (exp im))
5.0ms	(/ 0.5 (exp im))

series233.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re))
75.0ms	(* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re)))
14.0ms	(/ 0.5 (exp im))
15.0ms	(/ 0.5 (exp im))

simplify1.7s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
3	2873
2	798
1	286
0	131

prune624.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes108.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.6s	2965×	body	1280	valid
1.1s	2514×	body	640	valid
839.0ms	8600×	body	80	valid
309.0ms	1243×	body	320	valid
100.0ms	646×	body	160	valid