Details

sample298.0ms

Algorithm

intervals

Results

20.0ms	47×	body	1280	valid
11.0ms	46×	body	640	valid
7.0ms	134×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	19×	body	320	valid
1.0ms	10×	body	160	valid

simplify17.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))

rewrite17.0ms

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:

5.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
3.0ms	(* e (sin v))
5.0ms	(* e (cos v))

series178.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms	(* e (sin v))
54.0ms	(* e (cos v))

simplify1.7s

Counts

68 → 68

Iterations

Useful iterations: 3 (734.0ms)

Iter	Nodes	Cost
0	118	723
1	291	687
2	936	601
3	4072	599
done	5000	599

prune168.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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:

5.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
14.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
3.0ms	(* e (cos v))

series169.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
84.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
34.0ms	(* e (cos v))

simplify1.9s

Counts

90 → 90

Iterations

Useful iterations: 3 (986.0ms)

Iter	Nodes	Cost
0	156	1280
1	377	1223
2	1165	1113
3	4638	1103
done	5000	1103

prune224.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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:

12.0ms	(/ (+ (* (cos v) e) 1.0) (sin v))
3.0ms	(* (cos v) e)
8.0ms	(/ e (/ (+ (* (cos v) e) 1.0) (sin v)))

series184.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (+ (* (cos v) e) 1.0) (sin v))
36.0ms	(* (cos v) e)
85.0ms	(/ e (/ (+ (* (cos v) e) 1.0) (sin v)))

simplify910.0ms

Counts

126 → 126

Iterations

Useful iterations: done (907.0ms)

Iter	Nodes	Cost
0	225	2259
1	529	2164
2	1646	2033
done	5001	2031

prune331.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
18×	`associate-l`
12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`associate-r`
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-*l/` `clear-num`

Counts

3 → 81

Calls

3 calls:

5.0ms	(/ e (+ (* (cos v) e) 1.0))
18.0ms	(* (/ e (+ (* (cos v) e) 1.0)) (sin v))
3.0ms	(* (cos v) e)

series173.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ e (+ (* (cos v) e) 1.0))
83.0ms	(* (/ e (+ (* (cos v) e) 1.0)) (sin v))
36.0ms	(* (cos v) e)

simplify2.4s

Counts

90 → 90

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	162	1220
1	399	1175
2	1239	1061
3	4641	1057
done	5000	1057

prune208.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes54.0ms

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	9	11
1	12	11
done	12	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

613.0ms	1495×	body	1280	valid
321.0ms	1261×	body	640	valid
230.0ms	4324×	body	80	valid
109.0ms	613×	body	320	valid
100.0ms	8000×	pre	80	true
36.0ms	307×	body	160	valid