Details

sample284.0ms

Algorithm

intervals

Results

136.0ms	107×	body	1280	valid
55.0ms	76×	body	640	valid
44.0ms	278×	body	80	valid
18.0ms	35×	body	320	valid
6.0ms	18×	body	160	valid

simplify7.6s

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

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:

14.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (sin re))
0.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))
12.0ms	(/ 0.5 (exp im))

series222.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (sin re))
50.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))
37.0ms	(/ 0.5 (exp im))

simplify3.8s

Counts

68 → 68

Iterations

Iter	Nodes
4	8040
3	1605
2	547
1	235
0	114

prune687.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-/r*` `times-frac`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv` `associate-/l*`

Counts

2 → 33

Calls

2 calls:

0.0ms	(fma (exp im) (* (sin re) 0.5) (/ (* (sin re) 0.5) (exp im)))
13.0ms	(/ (* (sin re) 0.5) (exp im))

series239.0ms

Counts

2 → 6

Calls

2 calls:

174.0ms	(fma (exp im) (* (sin re) 0.5) (/ (* (sin re) 0.5) (exp im)))
65.0ms	(/ (* (sin re) 0.5) (exp im))

simplify746.0ms

Counts

39 → 39

Iterations

Iter	Nodes
3	2544
2	691
1	209
0	86

prune403.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 0.5 (exp im))
0.0b	(/ 0.5 (exp im))
0.0b	(/ 0.5 (exp im))
1.0b	(cbrt (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`add-cbrt-cube`
9×	`associate-/r` `associate-/l`
7×	`cbrt-div` `add-exp-log`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-*r/` `div-inv`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 106

Calls

4 calls:

6.0ms	(/ 0.5 (exp im))
4.0ms	(/ 0.5 (exp im))
9.0ms	(/ 0.5 (exp im))
49.0ms	(cbrt (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))))

series101.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ 0.5 (exp im))
20.0ms	(/ 0.5 (exp im))
15.0ms	(/ 0.5 (exp im))
51.0ms	(cbrt (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))))

simplify1.8s

Counts

118 → 118

Iterations

Iter	Nodes
5	3085
4	1716
3	665
2	292
1	160
0	95

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes82.0ms

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

3.8s	3019×	body	1280	valid
2.5s	8524×	body	80	valid
1.8s	2479×	body	640	valid
634.0ms	1257×	body	320	valid
173.0ms	597×	body	160	valid