Details

sample342.0ms

Algorithm

intervals

Results

65.0ms	45×	body	1280	valid
48.0ms	45×	body	640	valid
45.0ms	10×	body	160	valid
29.0ms	143×	body	80	valid
13.0ms	256×	pre	80	true
10.0ms	13×	body	320	valid

simplify46.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
5	26
4	25
3	23
2	20
1	16
0	9

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1))
0.1b	(* (/ (sin v) (fma (cos v) e 1)) e)

rewrite59.0ms

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` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 65

Calls

2 calls:

17.0ms	(/ (sin v) (fma (cos v) e 1))
39.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

series198.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(/ (sin v) (fma (cos v) e 1))
132.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

simplify2.4s

Counts

71 → 71

Iterations

Iter	Nodes
done	5019
3	3315
2	879
1	300
0	125

prune410.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1))
0.1b	(* (log1p (expm1 (/ (sin v) (fma (cos v) e 1)))) e)
0.1b	(expm1 (/ (sin v) (fma (cos v) e 1)))
0.2b	(log1p (expm1 (/ (sin v) (fma (cos v) e 1))))

rewrite34.0ms

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` `insert-posit16` `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 → 75

Calls

4 calls:

20.0ms	(/ (sin v) (fma (cos v) e 1))
12.0ms	(* (log1p (expm1 (/ (sin v) (fma (cos v) e 1)))) e)
1.0ms	(expm1 (/ (sin v) (fma (cos v) e 1)))
1.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1))))

series482.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(/ (sin v) (fma (cos v) e 1))
161.0ms	(* (log1p (expm1 (/ (sin v) (fma (cos v) e 1)))) e)
114.0ms	(expm1 (/ (sin v) (fma (cos v) e 1)))
132.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1))))

simplify1.6s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1135
1	327
0	150

prune467.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1))
0.1b	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
0.2b	(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
0.3b	(log1p (/ (sin v) (fma (cos v) e 1)))

rewrite29.0ms

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×	`expm1-log1p-u`
4×	`insert-posit16` `log1p-expm1-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 → 75

Calls

4 calls:

15.0ms	(/ (sin v) (fma (cos v) e 1))
11.0ms	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
0.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
1.0ms	(log1p (/ (sin v) (fma (cos v) e 1)))

series415.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (sin v) (fma (cos v) e 1))
119.0ms	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
103.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
131.0ms	(log1p (/ (sin v) (fma (cos v) e 1)))

simplify1.9s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1119
1	331
0	151

prune529.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (/ 1 (/ (fma (cos v) e 1) (sin v))) e)
0.1b	(/ (fma (cos v) e 1) (sin v))
0.2b	(/ 1 (/ (fma (cos v) e 1) (sin v)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-l`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-r` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 184

Calls

3 calls:

24.0ms	(* (/ 1 (/ (fma (cos v) e 1) (sin v))) e)
5.0ms	(/ (fma (cos v) e 1) (sin v))
11.0ms	(/ 1 (/ (fma (cos v) e 1) (sin v)))

series290.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(* (/ 1 (/ (fma (cos v) e 1) (sin v))) e)
118.0ms	(/ (fma (cos v) e 1) (sin v))
61.0ms	(/ 1 (/ (fma (cos v) e 1) (sin v)))

simplify1.9s

Counts

193 → 193

Iterations

Iter	Nodes
done	5001
2	2160
1	714
0	268

prune912.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.3s	1447×	body	1280	valid
1.1s	1188×	body	640	valid
899.0ms	4457×	body	80	valid
348.0ms	592×	body	320	valid
338.0ms	8000×	pre	80	true
108.0ms	316×	body	160	valid