Details

sample461.0ms

Algorithm

intervals

Results

51.0ms	14×	body	160	valid
35.0ms	46×	body	1280	valid
23.0ms	43×	body	640	valid
18.0ms	127×	body	80	valid
10.0ms	26×	body	320	valid
7.0ms	256×	pre	80	true

simplify41.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

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: 0.2b

localize28.0ms

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))

rewrite82.0ms

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:

36.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
17.0ms	(* e (cos v))
23.0ms	(* e (sin v))

series238.0ms

Counts

3 → 9

Calls

3 calls:

132.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
51.0ms	(* e (cos v))
54.0ms	(* e (sin v))

simplify3.3s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.5s)

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

prune310.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

26.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
18.0ms	(* e (cos v))
55.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

series341.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
75.0ms	(* e (cos v))
167.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

simplify2.9s

Counts

90 → 90

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	156	1280
1	370	1223
2	1133	1113
3	3714	1103
done	5002	1103

prune420.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

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))
43.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
29.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series323.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* e (cos v))
101.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
156.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify3.1s

Counts

126 → 126

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	222	2251
1	500	2154
2	1534	2023
3	4639	2019
done	5001	2019

prune543.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sin v) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v)))))
0.3b	(* (sqrt e) (* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v))))))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
22×	`add-exp-log` `add-cbrt-cube`
20×	`times-frac`
19×	`associate-r`
15×	`associate-l`
13×	`pow1`
8×	`prod-exp` `sqrt-prod` `cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `associate-r/` `div-exp` `associate-/r` `-commutative` `associate-/l`
2×	`flip3-+` `flip-+` `div-inv`
1×	`frac-2neg` `clear-num`

Counts

4 → 110

Calls

4 calls:

18.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
18.0ms	(* e (cos v))
33.0ms	(* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v)))))
52.0ms	(* (sqrt e) (* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v))))))

series535.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
54.0ms	(* e (cos v))
215.0ms	(* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v)))))
183.0ms	(* (sqrt e) (* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v))))))

simplify1.6s

Counts

122 → 122

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	214	2146
1	541	1952
2	1925	1738
done	5000	1691

prune725.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	12	11
done	12	11

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.5s	1488×	body	1280	valid
758.0ms	657×	body	320	valid
734.0ms	1204×	body	640	valid
596.0ms	4339×	body	80	valid
250.0ms	8000×	pre	80	true
81.0ms	312×	body	160	valid