Details

sample437.0ms

Algorithm

intervals

Results

162.0ms	60×	body	1280	valid
60.0ms	131×	body	80	valid
42.0ms	18×	body	320	valid
39.0ms	39×	body	640	valid
16.0ms	256×	pre	80	true
4.0ms	8×	body	160	valid

simplify57.0ms

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize64.0ms

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)

rewrite49.0ms

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))
27.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

series397.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(/ (sin v) (fma (cos v) e 1))
295.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

simplify913.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	2003
3	2003
2	879
1	300
0	125

prune511.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

526×	`times-frac`
306×	`add-sqr-sqrt`
281×	`*-un-lft-identity` `add-cube-cbrt`
272×	`sqrt-prod`
136×	`associate-l`
25×	`associate-/l*`
20×	`add-cbrt-cube` `add-exp-log`
16×	`div-inv`
12×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `div-exp` `unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/`

Counts

4 → 401

Calls

4 calls:

1.0ms	(sqrt (fma (cos v) e 1))
20.0ms	(/ (/ (sin v) (sqrt (fma (cos v) e 1))) (sqrt (fma (cos v) e 1)))
17.0ms	(/ (sin v) (sqrt (fma (cos v) e 1)))
49.0ms	(* (/ (/ (sin v) (sqrt (fma (cos v) e 1))) (sqrt (fma (cos v) e 1))) e)

series379.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sqrt (fma (cos v) e 1))
75.0ms	(/ (/ (sin v) (sqrt (fma (cos v) e 1))) (sqrt (fma (cos v) e 1)))
133.0ms	(/ (sin v) (sqrt (fma (cos v) e 1)))
101.0ms	(* (/ (/ (sin v) (sqrt (fma (cos v) e 1))) (sqrt (fma (cos v) e 1))) e)

simplify1.8s

Counts

413 → 413

Iterations

Iter	Nodes
done	2000
2	2000
1	1044
0	414

prune1.9s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

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))))

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×	`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:

15.0ms	(/ (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))))

series421.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ (sin v) (fma (cos v) e 1))
153.0ms	(* (log1p (expm1 (/ (sin v) (fma (cos v) e 1)))) e)
79.0ms	(expm1 (/ (sin v) (fma (cos v) e 1)))
130.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1))))

simplify1.2s

Counts

87 → 87

Iterations

Iter	Nodes
done	2100
3	2100
2	1135
1	327
0	150

prune461.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1))
0.2b	(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
0.3b	(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt e))

rewrite58.0ms

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/` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`*-commutative` `div-inv`
1×	`clear-num` `frac-2neg`

Counts

3 → 97

Calls

3 calls:

8.0ms	(/ (sin v) (fma (cos v) e 1))
13.0ms	(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
34.0ms	(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt e))

series299.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (sin v) (fma (cos v) e 1))
122.0ms	(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
90.0ms	(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt e))

simplify1.7s

Counts

106 → 106

Iterations

Iter	Nodes
done	2004
3	2004
2	1969
1	511
0	187

prune539.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes128.0ms

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
done	11
1	11
0	8

end0.0ms

sample5.3s

Algorithm

intervals

Results

1.8s	1518×	body	1280	valid
1.5s	1230×	body	640	valid
946.0ms	4268×	body	80	valid
453.0ms	671×	body	320	valid
273.0ms	8000×	pre	80	true
106.0ms	313×	body	160	valid