Details

sample1.4s

Algorithm

intervals

Results

248.0ms	39×	body	1280	valid
159.0ms	256×	pre	80	true
94.0ms	144×	body	80	valid
44.0ms	35×	body	640	valid
19.0ms	26×	body	320	valid
7.0ms	12×	body	160	valid

simplify58.0ms

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

prune35.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize166.0ms

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))

rewrite822.0ms

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:

563.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
47.0ms	(* e (sin v))
181.0ms	(* e (cos v))

series1.1s

Counts

3 → 9

Calls

3 calls:

397.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
226.0ms	(* e (sin v))
418.0ms	(* e (cos v))

simplify3.1s

Counts

68 → 68

Iterations

Useful iterations: done (3.1s)

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

prune512.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite385.0ms

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:

319.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
44.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
17.0ms	(* e (cos v))

series551.0ms

Counts

3 → 9

Calls

3 calls:

274.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
174.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
103.0ms	(* e (cos v))

simplify3.4s

Counts

90 → 90

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	156	1280
1	408	1227
2	1866	1117
done	5001	1113

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

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)))

rewrite201.0ms

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:

76.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
34.0ms	(* e (cos v))
55.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series702.0ms

Counts

3 → 9

Calls

3 calls:

146.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
82.0ms	(* e (cos v))
464.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify5.3s

Counts

126 → 126

Iterations

Useful iterations: 2 (1.4s)

Iter	Nodes	Cost
0	222	2251
1	576	2170
2	2903	2033
done	5000	2033

prune998.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite643.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

382.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
20.0ms	(* e (cos v))
23.0ms	(* (sqrt e) (sin v))
168.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

series1.2s

Counts

4 → 12

Calls

4 calls:

503.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
298.0ms	(* e (cos v))
165.0ms	(* (sqrt e) (sin v))
245.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

simplify6.5s

Counts

98 → 98

Iterations

Useful iterations: done (6.5s)

Iter	Nodes	Cost
0	191	1333
1	526	1248
2	2982	948
done	5001	930

prune1.4s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes332.0ms

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

sample42.6s

Algorithm

intervals

Results

20.2s	1542×	body	1280	valid
14.6s	1215×	body	640	valid
3.2s	612×	body	320	valid
3.1s	4314×	body	80	valid
347.0ms	8000×	pre	80	true
299.0ms	317×	body	160	valid