Details

sample371.0ms

Algorithm

intervals

Results

70.0ms	44×	body	1280	valid
28.0ms	39×	body	640	valid
17.0ms	142×	body	80	valid
8.0ms	256×	pre	80	true
8.0ms	22×	body	320	valid
2.0ms	9×	body	160	valid

simplify49.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (23.0ms)

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

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:

17.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
28.0ms	(* e (sin v))

series348.0ms

Counts

2 → 6

Calls

2 calls:

199.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
117.0ms	(* e (sin v))

simplify584.0ms

Counts

49 → 49

Iterations

Useful iterations: done (582.0ms)

Iter	Nodes	Cost
0	93	565
1	228	549
2	1160	477
done	5001	471

prune181.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite25.0ms

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:

10.0ms	(/ (fma (cos v) e 1.0) (sin v))
11.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series266.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(/ (fma (cos v) e 1.0) (sin v))
160.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify1.6s

Counts

107 → 107

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	197	1980
1	488	1910
2	2284	1789
done	5000	1783

prune515.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(* e (sin v))
0.2b	(/ (fma (cos v) e 1.0) (* e (sin v)))
0.8b	(/ 1 (/ (fma (cos v) e 1.0) (* e (sin v))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
31×	`add-exp-log`
25×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
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×	`frac-2neg` `clear-num`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow` `unswap-sqr`

Counts

3 → 101

Calls

3 calls:

13.0ms	(* e (sin v))
10.0ms	(/ (fma (cos v) e 1.0) (* e (sin v)))
19.0ms	(/ 1 (/ (fma (cos v) e 1.0) (* e (sin v))))

series355.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* e (sin v))
141.0ms	(/ (fma (cos v) e 1.0) (* e (sin v)))
140.0ms	(/ 1 (/ (fma (cos v) e 1.0) (* e (sin v))))

simplify1.4s

Counts

110 → 110

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	176	1688
1	430	1552
2	1887	1393
done	5000	1313

prune406.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize13.0ms

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)
0.8b	(/ 1 (/ (/ (fma (cos v) e 1.0) (sin v)) e))

rewrite102.0ms

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:

6.0ms	(/ (fma (cos v) e 1.0) (sin v))
22.0ms	(/ (/ (fma (cos v) e 1.0) (sin v)) e)
43.0ms	(/ 1 (/ (/ (fma (cos v) e 1.0) (sin v)) e))

series333.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(/ (fma (cos v) e 1.0) (sin v))
131.0ms	(/ (/ (fma (cos v) e 1.0) (sin v)) e)
119.0ms	(/ 1 (/ (/ (fma (cos v) e 1.0) (sin v)) e))

simplify1.0s

Counts

312 → 312

Iterations

Useful iterations: done (999.0ms)

Iter	Nodes	Cost
0	479	7201
1	1323	6517
done	5001	6201

prune1.0s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.3s	1541×	body	1280	valid
841.0ms	1271×	body	640	valid
536.0ms	4290×	body	80	valid
264.0ms	595×	body	320	valid
163.0ms	8000×	pre	80	true
72.0ms	303×	body	160	valid