Details

sample288.0ms

Algorithm

intervals

Results

80.0ms	45×	body	1280	valid
38.0ms	45×	body	640	valid
20.0ms	143×	body	80	valid
10.0ms	256×	pre	80	true
7.0ms	13×	body	320	valid
3.0ms	10×	body	160	valid

simplify28.0ms

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

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)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
13×	`associate-l`
9×	`add-cbrt-cube` `associate-*l/` `add-exp-log`
6×	`associate-/r` `associate-/l`
4×	`pow1`
3×	`associate-r`
2×	`expm1-log1p-u` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

2 → 73

Calls

2 calls:

9.0ms	(/ (sin v) (fma (cos v) e 1))
30.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

series160.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ (sin v) (fma (cos v) e 1))
98.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

simplify2.2s

Counts

79 → 79

Iterations

Iter	Nodes
done	5081
3	3268
2	996
1	328
0	131

prune399.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

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))))

rewrite23.0ms

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` `log1p-expm1-u`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`log1p-expm1`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

9.0ms	(/ (sin v) (fma (cos v) e 1))
10.0ms	(* (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))))

series450.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(/ (sin v) (fma (cos v) e 1))
138.0ms	(* (log1p (expm1 (/ (sin v) (fma (cos v) e 1)))) e)
124.0ms	(expm1 (/ (sin v) (fma (cos v) e 1)))
107.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1))))

simplify1.9s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1135
1	327
0	150

prune477.0ms

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)))

rewrite18.0ms

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` `log1p-expm1-u`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`expm1-log1p`
1×	`cbrt-undiv` `log1p-udef` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `log1p-expm1` `*-commutative` `cbrt-unprod` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

9.0ms	(/ (sin v) (fma (cos v) e 1))
7.0ms	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
0.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
0.0ms	(log1p (/ (sin v) (fma (cos v) e 1)))

series441.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(/ (sin v) (fma (cos v) e 1))
175.0ms	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
105.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
81.0ms	(log1p (/ (sin v) (fma (cos v) e 1)))

simplify1.5s

Counts

88 → 88

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

localize37.0ms

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)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

165×	`times-frac`
115×	`add-sqr-sqrt`
104×	`*-un-lft-identity`
101×	`add-cube-cbrt`
52×	`associate-l`
35×	`associate-/r*` `add-exp-log`
19×	`add-cbrt-cube` `associate-*l/`
18×	`associate-/r/`
16×	`associate-/l*`
15×	`div-exp`
11×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `clear-num`
5×	`frac-2neg` `unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-r` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`remove-double-div`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 220

Calls

3 calls:

70.0ms	(* (/ 1 (/ (fma (cos v) e 1) (sin v))) e)
6.0ms	(/ (fma (cos v) e 1) (sin v))
20.0ms	(/ 1 (/ (fma (cos v) e 1) (sin v)))

series300.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(* (/ 1 (/ (fma (cos v) e 1) (sin v))) e)
98.0ms	(/ (fma (cos v) e 1) (sin v))
72.0ms	(/ 1 (/ (fma (cos v) e 1) (sin v)))

simplify1.9s

Counts

229 → 229

Iterations

Iter	Nodes
done	5002
2	2337
1	781
0	293

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample5.2s

Algorithm

intervals

Results

1.7s	1447×	body	1280	valid
1.1s	1188×	body	640	valid
893.0ms	592×	body	320	valid
789.0ms	4457×	body	80	valid
350.0ms	8000×	pre	80	true
176.0ms	316×	body	160	valid