Details

sample233.0ms

Algorithm

intervals

Results

70.0ms	137×	body	80	valid
33.0ms	44×	body	1280	valid
22.0ms	44×	body	640	valid
9.0ms	23×	body	320	valid
6.0ms	256×	pre	80	true
2.0ms	8×	body	160	valid

simplify36.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	18	11
3	21	11
4	22	11
done	22	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 59

Calls

3 calls:

50.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
16.0ms	(* e (cos v))
21.0ms	(* e (sin v))

series299.0ms

Counts

3 → 9

Calls

3 calls:

144.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
66.0ms	(* e (cos v))
88.0ms	(* e (sin v))

simplify3.0s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	118	723
1	290	687
2	928	601
3	3469	599
done	5001	599

prune280.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow e 2) (pow (cos v) 2))
0.1b	(* e (cos v))
0.1b	(* e (sin v))
0.3b	(pow (cos v) 2)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
21×	`add-exp-log`
18×	`unswap-sqr`
17×	`unpow-prod-down`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
11×	`prod-exp` `unpow2` `sqr-pow`
10×	`add-cbrt-cube`
9×	`pow1`
7×	`pow-to-exp` `pow-exp`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down` `*-commutative` `cbrt-unprod`
1×	`pow-pow`

Counts

4 → 105

Calls

4 calls:

34.0ms	(* (pow e 2) (pow (cos v) 2))
16.0ms	(* e (cos v))
26.0ms	(* e (sin v))
6.0ms	(pow (cos v) 2)

series233.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (pow e 2) (pow (cos v) 2))
58.0ms	(* e (cos v))
70.0ms	(* e (sin v))
29.0ms	(pow (cos v) 2)

simplify4.6s

Counts

117 → 117

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	140	1063
1	290	923
2	770	744
3	3327	734
done	5001	734

prune446.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.1b	(* e (cos v))
0.2b	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
12×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `associate-l` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

35.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
15.0ms	(* e (cos v))
22.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series281.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
56.0ms	(* e (cos v))
130.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify3.0s

Counts

126 → 126

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	222	2251
1	500	2154
2	1534	2023
3	4638	2019
done	5001	2019

prune484.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.2b	(* (sqrt e) (sin v))
0.3b	(* (sqrt e) (* (sqrt e) (sin v)))
0.3b	(pow (cos v) 2)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`associate-l`
14×	`pow1` `add-exp-log`
13×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
7×	`associate-r` `sqrt-prod`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `*-commutative` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `pow-exp` `unpow2` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

16.0ms	(* e (cos v))
14.0ms	(* (sqrt e) (sin v))
39.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
12.0ms	(pow (cos v) 2)

series282.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* e (cos v))
126.0ms	(* (sqrt e) (sin v))
75.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
37.0ms	(pow (cos v) 2)

simplify2.4s

Counts

91 → 91

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	133	775
1	309	639
2	864	560
3	2344	545
done	5001	539

prune508.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes164.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	24
1	20	24
done	20	24

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.5s	1461×	body	1280	valid
800.0ms	1326×	body	640	valid
591.0ms	8000×	pre	80	true
494.0ms	4271×	body	80	valid
271.0ms	642×	body	320	valid
72.0ms	300×	body	160	valid