Details

sample191.0ms

Algorithm

intervals

Results

37.0ms	55×	body	1280	valid
15.0ms	35×	body	640	valid
12.0ms	134×	body	80	valid
5.0ms	18×	body	320	valid
5.0ms	256×	pre	80	true
3.0ms	14×	body	160	valid

simplify28.0ms

Counts

1 → 1

Iterations

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

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 65

Calls

3 calls:

20.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
7.0ms	(* e (cos v))
9.0ms	(* e (sin v))

series298.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
49.0ms	(* e (cos v))
97.0ms	(* e (sin v))

simplify2.7s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
3	4305
2	967
1	308
0	123

prune423.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.1b	(* e (sin v))
0.1b	(* (* e (cos v)) (* e (cos v)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
22×	`add-cbrt-cube` `add-exp-log`
20×	`pow-prod-down`
16×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow-sqr` `*-commutative` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 96

Calls

4 calls:

7.0ms	(* e (cos v))
7.0ms	(* e (cos v))
8.0ms	(* e (sin v))
43.0ms	(* (* e (cos v)) (* e (cos v)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* e (cos v))
74.0ms	(* e (cos v))
73.0ms	(* e (sin v))
70.0ms	(* (* e (cos v)) (* e (cos v)))

simplify2.8s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
3	2921
2	667
1	201
0	86

prune592.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

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)))

rewrite33.0ms

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:

9.0ms	(/ (fma (cos v) e 1.0) (sin v))
17.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series228.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(/ (fma (cos v) e 1.0) (sin v))
132.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify1.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	1443
1	475
0	197

prune732.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

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)
0.5b	(/ 1 (/ (/ (fma (cos v) e 1.0) (sin v)) e))

rewrite85.0ms

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))
27.0ms	(/ (/ (fma (cos v) e 1.0) (sin v)) e)
19.0ms	(/ 1 (/ (/ (fma (cos v) e 1.0) (sin v)) e))

series329.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(/ (fma (cos v) e 1.0) (sin v))
108.0ms	(/ (/ (fma (cos v) e 1.0) (sin v)) e)
131.0ms	(/ 1 (/ (/ (fma (cos v) e 1.0) (sin v)) e))

simplify2.9s

Counts

312 → 312

Iterations

Iter	Nodes
done	5000
2	2953
1	1251
0	479

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes153.0ms

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	16
1	16
0	13

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.4s	1554×	body	1280	valid
735.0ms	1225×	body	640	valid
645.0ms	8000×	pre	80	true
604.0ms	4258×	body	80	valid
219.0ms	649×	body	320	valid
108.0ms	314×	body	160	valid