Details

sample254.0ms

Algorithm

intervals

Results

71.0ms	22×	body	320	valid
42.0ms	43×	body	1280	valid
26.0ms	41×	body	640	valid
19.0ms	142×	body	80	valid
8.0ms	256×	pre	80	true
2.0ms	8×	body	160	valid

simplify23.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

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))

rewrite80.0ms

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:

37.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
19.0ms	(* e (sin v))
21.0ms	(* e (cos v))

series276.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
55.0ms	(* e (sin v))
69.0ms	(* e (cos v))

simplify893.0ms

Counts

68 → 68

Iterations

Useful iterations: done (889.0ms)

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

prune245.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* e e) (pow (cos v) 2))
0.1b	(* e (cos v))
0.1b	(* e (sin v))
0.2b	(pow (cos v) 2)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
18×	`add-sqr-sqrt`
14×	`associate-r`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp`
9×	`pow1`
7×	`unpow-prod-down` `associate-l`
6×	`unswap-sqr`
5×	`cbrt-unprod`
4×	`add-log-exp`
3×	`pow-to-exp` `pow-unpow` `pow-prod-down` `pow-exp` `*-commutative` `unpow2` `sqr-pow`
1×	`pow2` `pow-pow`

Counts

4 → 84

Calls

4 calls:

43.0ms	(* (* e e) (pow (cos v) 2))
9.0ms	(* e (cos v))
10.0ms	(* e (sin v))
7.0ms	(pow (cos v) 2)

series261.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (* e e) (pow (cos v) 2))
71.0ms	(* e (cos v))
69.0ms	(* e (sin v))
21.0ms	(pow (cos v) 2)

simplify2.5s

Counts

96 → 96

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	120	764
1	352	694
2	2509	586
done	5001	582

prune419.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

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:

18.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
15.0ms	(* e (cos v))
31.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

series280.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
59.0ms	(* e (cos v))
135.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

simplify1.3s

Counts

90 → 90

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	156	1280
1	407	1227
2	1875	1117
done	5001	1113

prune408.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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

rewrite88.0ms

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:

15.0ms	(* e (cos v))
36.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
31.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series273.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* e (cos v))
110.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
122.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify1.5s

Counts

126 → 126

Iterations

Useful iterations: 2 (459.0ms)

Iter	Nodes	Cost
0	222	2251
1	576	2170
2	2904	2033
done	5000	2033

prune541.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	24
1	20	24
done	20	24

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.3s	1471×	body	1280	valid
1.3s	1272×	body	640	valid
1.1s	4343×	body	80	valid
254.0ms	615×	body	320	valid
208.0ms	8000×	pre	80	true
130.0ms	299×	body	160	valid