Details

sample372.0ms

Algorithm

intervals

Results

23.0ms	54×	body	1280	valid
10.0ms	39×	body	640	valid
8.0ms	133×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	15×	body	320	valid
2.0ms	15×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	6
1	18	6
2	21	6
3	22	6
4	22	6
done	22	6

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))

rewrite38.0ms

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:

15.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
9.0ms	(* e (sin v))
11.0ms	(* e (cos v))

series190.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
40.0ms	(* e (sin v))
55.0ms	(* e (cos v))

simplify42.0ms

Counts

68 → 68

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	295	396
1	1372	344
2	5001	344
done	5001	344

prune161.0ms

Pruning

8 alts after pruning (8 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))

rewrite48.0ms

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:

12.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
25.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
8.0ms	(* e (cos v))

series182.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
90.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
37.0ms	(* e (cos v))

simplify48.0ms

Counts

90 → 90

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	379	724
1	1736	658
2	5001	658
done	5001	658

prune225.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite51.0ms

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:

22.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
11.0ms	(* e (cos v))
13.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series202.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
37.0ms	(* e (cos v))
92.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify62.0ms

Counts

126 → 126

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	518	1298
1	2327	1224
2	5001	1224
done	5001	1224

prune319.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 1.0 (* e (cos v))) (/ 1 (sin v)))
0.1b	(/ 1 (sin v))
0.1b	(* e (cos v))
0.2b	(/ e (* (+ 1.0 (* e (cos v))) (/ 1 (sin v))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
33×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
23×	`times-frac`
22×	`add-cbrt-cube`
16×	`associate-r`
11×	`div-exp`
9×	`pow1` `prod-exp`
6×	`cbrt-undiv` `associate-l` `associate-/r/` `associate-/l*`
5×	`cbrt-unprod`
4×	`frac-times` `flip3-+` `associate-l/` `associate-/r` `flip-+` `add-log-exp` `unswap-sqr`
3×	`rec-exp` `1-exp` `div-inv`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 120

Calls

4 calls:

25.0ms	(* (+ 1.0 (* e (cos v))) (/ 1 (sin v)))
6.0ms	(/ 1 (sin v))
10.0ms	(* e (cos v))
14.0ms	(/ e (* (+ 1.0 (* e (cos v))) (/ 1 (sin v))))

series216.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (+ 1.0 (* e (cos v))) (/ 1 (sin v)))
17.0ms	(/ 1 (sin v))
37.0ms	(* e (cos v))
90.0ms	(/ e (* (+ 1.0 (* e (cos v))) (/ 1 (sin v))))

simplify67.0ms

Counts

132 → 132

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	510	928
1	2633	794
2	5001	763
done	5001	763

prune250.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes71.0ms

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	12	6
1	12	6
done	12	6

end0.0ms

sample1.7s

Algorithm

intervals

Results

664.0ms	1582×	body	1280	valid
331.0ms	1260×	body	640	valid
224.0ms	4248×	body	80	valid
113.0ms	607×	body	320	valid
95.0ms	8000×	pre	80	true
42.0ms	303×	body	160	valid