Details

sample299.0ms

Algorithm

intervals

Results

20.0ms	49×	body	1280	valid
10.0ms	35×	body	640	valid
7.0ms	143×	body	80	valid
4.0ms	256×	pre	80	true
2.0ms	13×	body	320	valid
2.0ms	16×	body	160	valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

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))

rewrite11.0ms

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))
5.0ms	(* e (sin v))

series148.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
55.0ms	(* e (sin v))

simplify1.6s

Counts

49 → 49

Iterations

Useful iterations: 3 (598.0ms)

Iter	Nodes	Cost
0	93	565
1	218	549
2	737	469
3	3416	465
done	5000	465

prune135.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite15.0ms

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:

5.0ms	(/ (sin v) (fma (cos v) e 1.0))
8.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

series138.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (sin v) (fma (cos v) e 1.0))
88.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

simplify1.7s

Counts

69 → 69

Iterations

Useful iterations: 3 (743.0ms)

Iter	Nodes	Cost
0	130	1053
1	305	1020
2	969	920
3	3877	913
done	5001	913

prune200.0ms

Pruning

8 alts after pruning (7 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)))

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)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ (fma (cos v) e 1.0) (sin v))
85.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify1.2s

Counts

107 → 107

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	197	1980
1	440	1894
2	1353	1785
done	5000	1781

prune308.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sqrt e) (sin v))) (fma (cos v) e 1.0))
0.3b	(* (sqrt e) (sin v))
0.3b	(* (sqrt e) (* (sqrt e) (sin v)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

11.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (fma (cos v) e 1.0))
5.0ms	(* (sqrt e) (sin v))
11.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (fma (cos v) e 1.0))
73.0ms	(* (sqrt e) (sin v))
42.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

simplify726.0ms

Counts

81 → 81

Iterations

Useful iterations: done (724.0ms)

Iter	Nodes	Cost
0	165	1191
1	445	952
2	1794	804
done	5000	798

prune209.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes59.0ms

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

640.0ms	1517×	body	1280	valid
325.0ms	1252×	body	640	valid
238.0ms	4322×	body	80	valid
111.0ms	8000×	pre	80	true
106.0ms	604×	body	320	valid
37.0ms	305×	body	160	valid