Details

sample380.0ms

Algorithm

intervals

Results

22.0ms	51×	body	1280	valid
8.0ms	32×	body	640	valid
8.0ms	132×	body	80	valid
5.0ms	28×	body	320	valid
4.0ms	256×	pre	80	true
2.0ms	13×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))

rewrite37.0ms

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))))
8.0ms	(* e (cos v))
11.0ms	(* e (sin v))

series186.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms	(* e (cos v))
55.0ms	(* e (sin v))

simplify43.0ms

Counts

68 → 68

Iterations

Useful iterations: 1 (9.0ms)

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

prune158.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.1b	(* (* e (cos v)) (* e (cos v)))
0.1b	(* e (sin v))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
22×	`add-exp-log` `add-cbrt-cube`
20×	`pow-prod-down`
16×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
4×	`pow-sqr` `*-commutative` `pow-prod-up` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 88

Calls

4 calls:

8.0ms	(* e (cos v))
8.0ms	(* e (cos v))
34.0ms	(* (* e (cos v)) (* e (cos v)))
9.0ms	(* e (sin v))

series172.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* e (cos v))
39.0ms	(* e (cos v))
55.0ms	(* (* e (cos v)) (* e (cos v)))
42.0ms	(* e (sin v))

simplify162.0ms

Counts

100 → 100

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	186	378
1	860	300
2	4587	289
3	5001	289
done	5001	289

prune205.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
63×	`add-sqr-sqrt`
60×	`sqrt-prod`
57×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
16×	`sqrt-div` `associate-/r/`
12×	`associate-/l*`
10×	`pow1`
9×	`associate-r` `associate-l`
8×	`flip3-+` `flip-+` `div-inv`
6×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 163

Calls

4 calls:

27.0ms	(/ (/ (* e (sin v)) (sqrt (+ 1.0 (* e (cos v))))) (sqrt (+ 1.0 (* e (cos v)))))
10.0ms	(* e (cos v))
8.0ms	(* e (cos v))
9.0ms	(* e (sin v))

series204.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ (/ (* e (sin v)) (sqrt (+ 1.0 (* e (cos v))))) (sqrt (+ 1.0 (* e (cos v)))))
36.0ms	(* e (cos v))
36.0ms	(* e (cos v))
42.0ms	(* e (sin v))

simplify77.0ms

Counts

175 → 175

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	610	2510
1	2816	2244
2	5001	2234
done	5001	2234

prune388.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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) (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

430×	`times-frac`
211×	`add-sqr-sqrt`
209×	`add-cube-cbrt` `*-un-lft-identity`
30×	`div-inv`
24×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r` `associate-/l`
14×	`div-exp`
9×	`cbrt-undiv`
5×	`pow1`
3×	`associate-r` `associate-l` `associate-/l/` `add-log-exp`
2×	`frac-2neg` `1-exp` `clear-num`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 264

Calls

3 calls:

8.0ms	(* e (cos v))
24.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
21.0ms	(/ (/ e 1) (/ (+ 1.0 (* e (cos v))) (sin v)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* e (cos v))
72.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
91.0ms	(/ (/ e 1) (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify56.0ms

Counts

273 → 273

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1425	3961
1	5001	3653
done	5001	3653

prune516.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes63.0ms

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	16	14
1	16	14
done	16	14

end0.0ms

sample1.6s

Algorithm

intervals

Results

631.0ms	1487×	body	1280	valid
327.0ms	1286×	body	640	valid
223.0ms	4295×	body	80	valid
110.0ms	646×	body	320	valid
88.0ms	8000×	pre	80	true
34.0ms	286×	body	160	valid