Details

sample219.0ms

Algorithm

intervals

Results

54.0ms	133×	body	80	valid
44.0ms	55×	body	1280	valid
26.0ms	43×	body	640	valid
8.0ms	256×	pre	80	true
5.0ms	14×	body	320	valid
3.0ms	11×	body	160	valid

simplify23.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	24
5	24
4	23
3	21
2	18
1	14
0	9

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

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)

rewrite25.0ms

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:

10.0ms	(/ (sin v) (fma (cos v) e 1))
13.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

series166.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (sin v) (fma (cos v) e 1))
110.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

simplify5.4s

Counts

71 → 71

Iterations

Iter	Nodes
3	3229
2	943
1	298
0	125

prune664.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-l` `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-r/` `-commutative`

Counts

2 → 65

Calls

2 calls:

9.0ms	(/ e (fma (cos v) e 1))
25.0ms	(* (sin v) (/ e (fma (cos v) e 1)))

series208.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(/ e (fma (cos v) e 1))
114.0ms	(* (sin v) (/ e (fma (cos v) e 1)))

simplify1.9s

Counts

71 → 71

Iterations

Iter	Nodes
3	3106
2	885
1	280
0	120

prune720.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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

rewrite31.0ms

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:

16.0ms	(/ (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))))

series446.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ (sin v) (fma (cos v) e 1))
153.0ms	(* (log1p (expm1 (/ (sin v) (fma (cos v) e 1)))) e)
103.0ms	(expm1 (/ (sin v) (fma (cos v) e 1)))
131.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1))))

simplify2.2s

Counts

87 → 87

Iterations

Iter	Nodes
3	4522
2	1111
1	325
0	150

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (sin v) (/ (sqrt e) (/ (fma (cos v) e 1) (sqrt e))))
0.3b	(/ (fma (cos v) e 1) (sqrt e))
0.3b	(/ (sqrt e) (/ (fma (cos v) e 1) (sqrt e)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

526×	`times-frac`
303×	`add-sqr-sqrt`
279×	`*-un-lft-identity` `add-cube-cbrt`
269×	`sqrt-prod`
137×	`associate-r`
28×	`associate-/r*`
19×	`add-cbrt-cube` `add-exp-log`
16×	`div-inv`
9×	`associate-/l*`
7×	`cbrt-undiv` `div-exp` `unswap-sqr`
5×	`pow1`
3×	`expm1-log1p-u` `associate-l` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow-prod-down` `associate-r/` `-commutative`

Counts

3 → 386

Calls

3 calls:

41.0ms	(* (sin v) (/ (sqrt e) (/ (fma (cos v) e 1) (sqrt e))))
9.0ms	(/ (fma (cos v) e 1) (sqrt e))
15.0ms	(/ (sqrt e) (/ (fma (cos v) e 1) (sqrt e)))

series297.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(* (sin v) (/ (sqrt e) (/ (fma (cos v) e 1) (sqrt e))))
99.0ms	(/ (fma (cos v) e 1) (sqrt e))
95.0ms	(/ (sqrt e) (/ (fma (cos v) e 1) (sqrt e)))

simplify2.4s

Counts

395 → 395

Iterations

Iter	Nodes
2	4544
1	1458
0	503

prune5.5s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes167.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	9
1	9
0	8

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.4s	1536×	body	1280	valid
1.1s	1255×	body	640	valid
728.0ms	4279×	body	80	valid
698.0ms	8000×	pre	80	true
426.0ms	623×	body	320	valid
139.0ms	307×	body	160	valid