Details

sample480.0ms

Algorithm

intervals

Results

128.0ms	34×	body	640	valid
43.0ms	25×	body	320	valid
40.0ms	45×	body	1280	valid
17.0ms	136×	body	80	valid
8.0ms	256×	pre	80	true
4.0ms	16×	body	160	valid

simplify43.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

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))

rewrite229.0ms

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:

78.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
30.0ms	(* e (sin v))
57.0ms	(* e (cos v))

series292.0ms

Counts

3 → 9

Calls

3 calls:

147.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
62.0ms	(* e (sin v))
83.0ms	(* e (cos v))

simplify2.8s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	118	723
1	290	687
2	928	601
3	3444	599
done	5001	599

prune254.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite69.0ms

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:

34.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
15.0ms	(* e (cos v))
15.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series307.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
69.0ms	(* e (cos v))
145.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify3.2s

Counts

126 → 126

Iterations

Useful iterations: 3 (1.5s)

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

prune534.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.1b	(* e (cos v))
0.3b	(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
0.4b	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

1566×	`times-frac`
742×	`add-sqr-sqrt`
740×	`add-cube-cbrt` `*-un-lft-identity`
564×	`sqrt-prod`
91×	`associate-/r*`
59×	`div-inv`
22×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
10×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `associate-l` `clear-num` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 756

Calls

4 calls:

25.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
9.0ms	(* e (cos v))
54.0ms	(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
50.0ms	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

series491.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
67.0ms	(* e (cos v))
155.0ms	(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
164.0ms	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

simplify2.3s

Counts

768 → 768

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	969	24212
1	2167	22414
done	5001	21033

prune2.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.3b	(/ (* (sqrt e) (sqrt (sqrt e))) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt (sqrt e))))
0.4b	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt (sqrt e)))
0.4b	(* (sqrt e) (sqrt (sqrt e)))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

724×	`times-frac`
382×	`sqrt-prod`
345×	`add-sqr-sqrt`
329×	`add-cube-cbrt` `*-un-lft-identity`
130×	`associate-/r*`
34×	`add-exp-log` `add-cbrt-cube`
32×	`div-inv`
17×	`pow1`
15×	`cbrt-undiv` `div-exp`
14×	`associate-/l*`
12×	`associate-r`
11×	`sqrt-pow1`
9×	`associate-l`
7×	`pow1/2` `unswap-sqr`
6×	`pow-prod-up`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `add-log-exp`
2×	`frac-2neg` `pow3` `clear-num` `*-commutative`
1×	`sqrt-unprod` `associate-/r/` `associate-/l/`

Counts

4 → 481

Calls

4 calls:

21.0ms	(* e (cos v))
88.0ms	(/ (* (sqrt e) (sqrt (sqrt e))) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt (sqrt e))))
44.0ms	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt (sqrt e)))
18.0ms	(* (sqrt e) (sqrt (sqrt e)))

series843.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* e (cos v))
165.0ms	(/ (* (sqrt e) (sqrt (sqrt e))) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt (sqrt e))))
297.0ms	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt (sqrt e)))
314.0ms	(* (sqrt e) (sqrt (sqrt e)))

simplify1.2s

Counts

493 → 493

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	700	13419
1	1700	12247
done	5001	11406

prune1.8s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes192.0ms

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

sample4.5s

Algorithm

intervals

Results

1.8s	1474×	body	1280	valid
1.1s	1283×	body	640	valid
615.0ms	4298×	body	80	valid
208.0ms	631×	body	320	valid
202.0ms	8000×	pre	80	true
169.0ms	314×	body	160	valid