Details

sample427.0ms

Algorithm

intervals

Results

62.0ms	38×	body	640	valid
52.0ms	143×	body	80	valid
49.0ms	39×	body	1280	valid
41.0ms	19×	body	320	valid
11.0ms	256×	pre	80	true
6.0ms	17×	body	160	valid

simplify308.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
4	24
3	23
2	20
1	14
0	9

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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

Counts

2 → 63

Calls

2 calls:

13.0ms	(/ (sin v) (fma (cos v) e 1.0))
28.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

series250.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ (sin v) (fma (cos v) e 1.0))
189.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

simplify1.2s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1521
1	333
0	130

prune425.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

10.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
8.0ms	(* e (sin v))

series176.0ms

Counts

2 → 6

Calls

2 calls:

118.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
58.0ms	(* e (sin v))

simplify1.1s

Counts

49 → 49

Iterations

Iter	Nodes
done	5001
2	1158
1	229
0	93

prune280.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (fma (cos v) e 1.0) (sin v))
0.2b	(/ e (/ (fma (cos v) e 1.0) (sin v)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 101

Calls

2 calls:

5.0ms	(/ (fma (cos v) e 1.0) (sin v))
15.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series236.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(/ (fma (cos v) e 1.0) (sin v))
124.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify1.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2292
1	487
0	197

prune723.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (fma (cos v) e 1.0) (sin v))
0.2b	(/ (/ (fma (cos v) e 1.0) (sin v)) e)
0.7b	(/ 1 (/ (/ (fma (cos v) e 1.0) (sin v)) e))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

477×	`times-frac`
237×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
49×	`associate-/r*`
31×	`add-exp-log`
23×	`div-inv`
19×	`add-cbrt-cube` `div-exp` `associate-/l*`
10×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `pow-flip` `inv-pow` `associate-/l/`

Counts

3 → 303

Calls

3 calls:

9.0ms	(/ (fma (cos v) e 1.0) (sin v))
21.0ms	(/ (/ (fma (cos v) e 1.0) (sin v)) e)
39.0ms	(/ 1 (/ (/ (fma (cos v) e 1.0) (sin v)) e))

series376.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(/ (fma (cos v) e 1.0) (sin v))
117.0ms	(/ (/ (fma (cos v) e 1.0) (sin v)) e)
133.0ms	(/ 1 (/ (/ (fma (cos v) e 1.0) (sin v)) e))

simplify1.3s

Counts

312 → 312

Iterations

Iter	Nodes
done	5001
1	1323
0	479

prune1.9s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes165.0ms

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	9
1	9
0	8

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.5s	1507×	body	1280	valid
1.3s	1274×	body	640	valid
453.0ms	4271×	body	80	valid
307.0ms	617×	body	320	valid
200.0ms	8000×	pre	80	true
76.0ms	331×	body	160	valid