Details

sample250.0ms

Algorithm

intervals

Results

71.0ms	256×	pre	80	true
38.0ms	46×	body	1280	valid
23.0ms	43×	body	640	valid
17.0ms	127×	body	80	valid
10.0ms	26×	body	320	valid
4.0ms	14×	body	160	valid

simplify45.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (20.0ms)

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

25.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
24.0ms	(* e (sin v))

series211.0ms

Counts

2 → 6

Calls

2 calls:

150.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
60.0ms	(* e (sin v))

simplify2.0s

Counts

49 → 49

Iterations

Useful iterations: 3 (802.0ms)

Iter	Nodes	Cost
0	93	565
1	217	549
2	708	469
3	2925	465
done	5000	465

prune208.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

10.0ms	(/ (sin v) (fma (cos v) e 1.0))
32.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

series185.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(/ (sin v) (fma (cos v) e 1.0))
118.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

simplify2.2s

Counts

69 → 69

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	130	1053
1	301	1020
2	933	920
3	3068	913
done	5000	909

prune286.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

201×	`times-frac`
135×	`add-sqr-sqrt`
130×	`add-cube-cbrt` `*-un-lft-identity`
126×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
104×	`associate-r`
42×	`neg-mul-1`
10×	`associate-/r` `associate-/l`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l`
2×	`cbrt-undiv` `expm1-log1p-u` `distribute-frac-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`neg-sub0` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `distribute-rgt-neg-out`

Counts

2 → 262

Calls

2 calls:

19.0ms	(/ (- (sin v)) (- (fma (cos v) e 1.0)))
74.0ms	(* e (/ (- (sin v)) (- (fma (cos v) e 1.0))))

series223.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(/ (- (sin v)) (- (fma (cos v) e 1.0)))
160.0ms	(* e (/ (- (sin v)) (- (fma (cos v) e 1.0))))

simplify1.7s

Counts

268 → 268

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	349	4619
1	815	4390
2	2248	4258
done	5000	4251

prune985.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 101

Calls

2 calls:

6.0ms	(/ (fma (cos v) e 1.0) (sin v))
12.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series213.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(/ (fma (cos v) e 1.0) (sin v))
116.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify2.7s

Counts

107 → 107

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	197	1980
1	426	1894
2	1315	1785
3	4104	1777
done	5000	1777

prune398.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes123.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	13	12
2	17	12
3	20	12
done	20	12

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.8s	1488×	body	1280	valid
766.0ms	1204×	body	640	valid
662.0ms	8000×	pre	80	true
438.0ms	4339×	body	80	valid
312.0ms	657×	body	320	valid
120.0ms	312×	body	160	valid