Details

sample468.0ms

Algorithm

intervals

Results

169.0ms	12×	body	320	valid
92.0ms	43×	body	640	valid
45.0ms	51×	body	1280	valid
40.0ms	256×	pre	80	true
19.0ms	134×	body	80	valid
5.0ms	16×	body	160	valid

simplify82.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

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: 0.1b

localize18.0ms

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))

rewrite77.0ms

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:

35.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
15.0ms	(* e (cos v))
23.0ms	(* e (sin v))

series396.0ms

Counts

3 → 9

Calls

3 calls:

231.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
107.0ms	(* e (cos v))
57.0ms	(* e (sin v))

simplify2.9s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.3s)

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

prune298.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(pow (* e (cos v)) 3)
0.1b	(* (* e (cos v)) (* e (cos v)))
0.1b	(* e (sin v))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
20×	`pow-prod-down`
13×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r` `associate-l`
4×	`pow-sqr` `pow-prod-up` `add-log-exp`
3×	`pow-unpow` `*-commutative`
2×	`pow-pow` `pow-plus` `pow-exp` `rem-cube-cbrt` `unswap-sqr`
1×	`pow2` `cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `swap-sqr` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

12.0ms	(* e (cos v))
14.0ms	(pow (* e (cos v)) 3)
44.0ms	(* (* e (cos v)) (* e (cos v)))
10.0ms	(* e (sin v))

series285.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* e (cos v))
89.0ms	(pow (* e (cos v)) 3)
74.0ms	(* (* e (cos v)) (* e (cos v)))
47.0ms	(* e (sin v))

simplify1.9s

Counts

104 → 104

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	108	830
1	224	595
2	828	549
done	5000	547

prune459.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

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:

13.0ms	(* e (cos v))
25.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
15.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series290.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* e (cos v))
105.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
111.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify3.3s

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

prune602.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

294×	`times-frac`
196×	`add-sqr-sqrt`
162×	`add-cube-cbrt` `*-un-lft-identity`
93×	`sqrt-prod`
86×	`associate-r`
22×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*` `div-inv`
11×	`unswap-sqr`
9×	`associate-l` `associate-/l*`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r/` `*-commutative` `associate-/l/`
1×	`flip3-+` `associate-*r/` `flip-+`

Counts

4 → 274

Calls

4 calls:

9.0ms	(* e (cos v))
24.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
94.0ms	(* (sqrt e) (/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (sin v))))
44.0ms	(/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (sin v)))

series520.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* e (cos v))
120.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
136.0ms	(* (sqrt e) (/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (sin v))))
199.0ms	(/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify2.3s

Counts

286 → 286

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	396	6182
1	938	5662
2	3271	5331
done	5001	5301

prune1.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	36
1	24	36
done	24	36

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.3s	1484×	body	1280	valid
955.0ms	4264×	body	80	valid
801.0ms	622×	body	320	valid
688.0ms	1306×	body	640	valid
345.0ms	8000×	pre	80	true
131.0ms	324×	body	160	valid