Details

sample269.0ms

Algorithm

intervals

Results

35.0ms	53×	body	1280	valid
20.0ms	46×	body	640	valid
13.0ms	133×	body	80	valid
6.0ms	256×	pre	80	true
5.0ms	18×	body	320	valid
1.0ms	6×	body	160	valid

simplify40.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	20	10
3	23	10
4	24	10
done	24	10

prune66.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:

9.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
10.0ms	(* e (sin v))

series248.0ms

Counts

2 → 6

Calls

2 calls:

146.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
102.0ms	(* e (sin v))

simplify670.0ms

Counts

49 → 49

Iterations

Useful iterations: done (667.0ms)

Iter	Nodes	Cost
0	93	565
1	229	547
2	1158	479
done	5001	473

prune261.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:

4.0ms	(/ (fma (cos v) e 1.0) (sin v))
13.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series236.0ms

Counts

2 → 6

Calls

2 calls:

103.0ms	(/ (fma (cos v) e 1.0) (sin v))
133.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify1.3s

Counts

107 → 107

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	197	1980
1	487	1911
2	2292	1791
done	5000	1787

prune645.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ e (fma (cos v) e 1.0))
0.2b	(/ 1 (sin v))
0.2b	(/ (/ e (fma (cos v) e 1.0)) (/ 1 (sin v)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

439×	`times-frac`
215×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
31×	`add-exp-log` `div-inv`
19×	`associate-/r` `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 → 283

Calls

3 calls:

7.0ms	(/ e (fma (cos v) e 1.0))
10.0ms	(/ 1 (sin v))
29.0ms	(/ (/ e (fma (cos v) e 1.0)) (/ 1 (sin v)))

series264.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(/ e (fma (cos v) e 1.0))
22.0ms	(/ 1 (sin v))
163.0ms	(/ (/ e (fma (cos v) e 1.0)) (/ 1 (sin v)))

simplify929.0ms

Counts

292 → 292

Iterations

Useful iterations: done (914.0ms)

Iter	Nodes	Cost
0	470	6836
1	1561	6099
done	5001	5477

prune997.0ms

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
31×	`add-exp-log`
25×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `add-cube-cbrt`
19×	`add-cbrt-cube`
14×	`div-exp`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`pow1` `div-inv` `associate-/l*`
5×	`prod-exp`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-r` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr`

Counts

3 → 101

Calls

3 calls:

15.0ms	(* e (sin v))
14.0ms	(/ (fma (cos v) e 1.0) (* e (sin v)))
27.0ms	(/ 1 (/ (fma (cos v) e 1.0) (* e (sin v))))

series340.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* e (sin v))
124.0ms	(/ (fma (cos v) e 1.0) (* e (sin v)))
148.0ms	(/ 1 (/ (fma (cos v) e 1.0) (* e (sin v))))

simplify1.5s

Counts

110 → 110

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	176	1688
1	432	1548
2	1928	1396
done	5002	1318

prune493.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes176.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	9	10
done	9	10

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.8s	1472×	body	1280	valid
804.0ms	1261×	body	640	valid
691.0ms	576×	body	320	valid
557.0ms	4352×	body	80	valid
286.0ms	8000×	pre	80	true
77.0ms	339×	body	160	valid