Details

sample302.0ms

Algorithm

intervals

Results

17.0ms	40×	body	1280	valid
10.0ms	38×	body	640	valid
9.0ms	147×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	19×	body	320	valid
1.0ms	12×	body	160	valid

simplify18.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:

4.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
6.0ms	(* e (sin v))

series141.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
47.0ms	(* e (sin v))

simplify390.0ms

Counts

49 → 49

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	93	565
1	227	549
2	1003	469
done	5000	469

prune124.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite11.0ms

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:

2.0ms	(/ (fma (cos v) e 1.0) (sin v))
5.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series152.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(/ (fma (cos v) e 1.0) (sin v))
87.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify614.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (146.0ms)

Iter	Nodes	Cost
0	197	1980
1	450	1894
2	1897	1785
done	5000	1785

prune298.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-r` `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` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

2.0ms	(/ e (fma (cos v) e 1.0))
8.0ms	(* (/ e (fma (cos v) e 1.0)) (sin v))

series146.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ e (fma (cos v) e 1.0))
87.0ms	(* (/ e (fma (cos v) e 1.0)) (sin v))

simplify486.0ms

Counts

69 → 69

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	127	985
1	307	963
2	1203	859
done	5000	859

prune190.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 303

Calls

3 calls:

2.0ms	(/ (fma (cos v) e 1.0) (sin v))
6.0ms	(/ (/ (fma (cos v) e 1.0) (sin v)) e)
16.0ms	(/ 1 (/ (/ (fma (cos v) e 1.0) (sin v)) e))

series221.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ (fma (cos v) e 1.0) (sin v))
76.0ms	(/ (/ (fma (cos v) e 1.0) (sin v)) e)
80.0ms	(/ 1 (/ (/ (fma (cos v) e 1.0) (sin v)) e))

simplify2.3s

Counts

312 → 312

Iterations

Useful iterations: 2 (507.0ms)

Iter	Nodes	Cost
0	479	7201
1	1178	6629
2	4493	5841
done	5000	5841

prune605.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes68.0ms

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

sample1.6s

Algorithm

intervals

Results

621.0ms	1467×	body	1280	valid
313.0ms	1198×	body	640	valid
245.0ms	4364×	body	80	valid
124.0ms	648×	body	320	valid
104.0ms	8000×	pre	80	true
44.0ms	323×	body	160	valid