Details

sample200.0ms

Algorithm

intervals

Results

39.0ms	49×	body	1280	valid
24.0ms	43×	body	640	valid
13.0ms	129×	body	80	valid
8.0ms	26×	body	320	valid
6.0ms	256×	pre	80	true
2.0ms	9×	body	160	valid

simplify75.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
5	24
4	23
3	21
2	18
1	14
0	9

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1.0))
0.2b	(* (/ (sin v) (fma (cos v) e 1.0)) e)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 63

Calls

2 calls:

14.0ms	(/ (sin v) (fma (cos v) e 1.0))
29.0ms	(* (/ (sin v) (fma (cos v) e 1.0)) e)

series241.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(/ (sin v) (fma (cos v) e 1.0))
146.0ms	(* (/ (sin v) (fma (cos v) e 1.0)) e)

simplify2.8s

Counts

69 → 69

Iterations

Iter	Nodes
done	5041
3	4059
2	1025
1	328
0	131

prune468.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1.0))
0.2b	(* (* 1 (/ (sin v) (fma (cos v) e 1.0))) e)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

13.0ms	(/ (sin v) (fma (cos v) e 1.0))
44.0ms	(* (* 1 (/ (sin v) (fma (cos v) e 1.0))) e)

series167.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (sin v) (fma (cos v) e 1.0))
98.0ms	(* (* 1 (/ (sin v) (fma (cos v) e 1.0))) e)

simplify2.9s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
3	4353
2	1019
1	338
0	138

prune361.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1.0))
0.1b	(expm1 (/ (sin v) (fma (cos v) e 1.0)))
0.2b	(* (log1p (expm1 (/ (sin v) (fma (cos v) e 1.0)))) e)
0.2b	(log1p (expm1 (/ (sin v) (fma (cos v) e 1.0))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

13.0ms	(/ (sin v) (fma (cos v) e 1.0))
1.0ms	(expm1 (/ (sin v) (fma (cos v) e 1.0)))
7.0ms	(* (log1p (expm1 (/ (sin v) (fma (cos v) e 1.0)))) e)
0.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1.0))))

series542.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ (sin v) (fma (cos v) e 1.0))
119.0ms	(expm1 (/ (sin v) (fma (cos v) e 1.0)))
172.0ms	(* (log1p (expm1 (/ (sin v) (fma (cos v) e 1.0)))) e)
155.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1.0))))

simplify1.7s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
2	1312
1	363
0	157

prune582.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1.0))
0.3b	(* (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)) (sqrt e))
0.3b	(* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
19×	`add-cbrt-cube` `add-exp-log`
14×	`associate-l`
12×	`associate-r`
10×	`pow1`
8×	`sqrt-prod`
7×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `unswap-sqr`
3×	`expm1-log1p-u` `cbrt-undiv` `associate-/r` `div-exp` `associate-l/` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`*-commutative` `div-inv`
1×	`clear-num` `frac-2neg`

Counts

3 → 94

Calls

3 calls:

7.0ms	(/ (sin v) (fma (cos v) e 1.0))
49.0ms	(* (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)) (sqrt e))
16.0ms	(* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e))

series416.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(/ (sin v) (fma (cos v) e 1.0))
157.0ms	(* (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)) (sqrt e))
164.0ms	(* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e))

simplify1.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5011
2	2118
1	538
0	192

prune602.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes227.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.3s	1482×	body	1280	valid
813.0ms	1247×	body	640	valid
514.0ms	4281×	body	80	valid
223.0ms	655×	body	320	valid
201.0ms	8000×	pre	80	true
76.0ms	335×	body	160	valid