Details

sample168.0ms

Algorithm

intervals

Results

23.0ms	44×	body	1280	valid
15.0ms	39×	body	640	valid
11.0ms	142×	body	80	valid
5.0ms	22×	body	320	valid
5.0ms	256×	pre	80	true
1.0ms	9×	body	160	valid

simplify53.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

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:

29.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
19.0ms	(* e (sin v))
22.0ms	(* e (cos v))

series266.0ms

Counts

3 → 9

Calls

3 calls:

130.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
57.0ms	(* e (sin v))
78.0ms	(* e (cos v))

simplify913.0ms

Counts

68 → 68

Iterations

Useful iterations: done (909.0ms)

Iter	Nodes	Cost
0	118	723
1	306	687
2	1510	609
done	5000	605

prune279.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite64.0ms

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:

9.0ms	(* e (cos v))
30.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
19.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series285.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* e (cos v))
107.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
111.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify1.6s

Counts

126 → 126

Iterations

Useful iterations: 2 (491.0ms)

Iter	Nodes	Cost
0	222	2251
1	576	2170
2	2904	2033
done	5000	2033

prune607.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
34×	`add-exp-log`
30×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `*-un-lft-identity`
22×	`add-cbrt-cube`
14×	`div-exp`
9×	`pow1`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`associate-r` `associate-l` `prod-exp` `div-inv` `associate-/l*`
4×	`cbrt-unprod` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `flip3-+` `associate-/r/` `flip-+` `inv-pow`

Counts

4 → 115

Calls

4 calls:

10.0ms	(* e (sin v))
9.0ms	(* e (cos v))
45.0ms	(/ (+ 1.0 (* e (cos v))) (* e (sin v)))
21.0ms	(/ 1 (/ (+ 1.0 (* e (cos v))) (* e (sin v))))

series368.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* e (sin v))
67.0ms	(* e (cos v))
130.0ms	(/ (+ 1.0 (* e (cos v))) (* e (sin v)))
124.0ms	(/ 1 (/ (+ 1.0 (* e (cos v))) (* e (sin v))))

simplify1.4s

Counts

127 → 127

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	199	1903
1	511	1746
2	2331	1569
done	5001	1567

prune363.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

477×	`times-frac`
242×	`add-sqr-sqrt`
240×	`add-cube-cbrt` `*-un-lft-identity`
49×	`associate-/r*`
34×	`add-exp-log`
23×	`div-inv`
22×	`add-cbrt-cube`
19×	`div-exp` `associate-/l*`
10×	`cbrt-undiv`
7×	`pow1`
4×	`add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-r` `associate-l` `clear-num` `associate-/l/`
1×	`pow-flip` `flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 317

Calls

4 calls:

9.0ms	(* e (cos v))
26.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
50.0ms	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) e)
32.0ms	(/ 1 (/ (/ (+ 1.0 (* e (cos v))) (sin v)) e))

series477.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* e (cos v))
134.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
148.0ms	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) e)
130.0ms	(/ 1 (/ (/ (+ 1.0 (* e (cos v))) (sin v)) e))

simplify1.2s

Counts

329 → 329

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	502	7767
1	1457	7064
done	5000	6731

prune1.1s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes202.0ms

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	9	11
1	12	11
done	12	11

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.9s	1541×	body	1280	valid
1.2s	1271×	body	640	valid
722.0ms	4290×	body	80	valid
208.0ms	8000×	pre	80	true
205.0ms	595×	body	320	valid
112.0ms	303×	body	160	valid