Details

sample369.0ms

Algorithm

intervals

Results

22.0ms	47×	body	1280	valid
13.0ms	51×	body	640	valid
7.0ms	121×	body	80	valid
5.0ms	28×	body	320	valid
4.0ms	256×	pre	80	true
1.0ms	9×	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: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

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))
12.0ms	(* e (sin v))

series189.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms	(* e (cos v))
56.0ms	(* e (sin 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

prune167.0ms

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

rewrite50.0ms

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))))
9.0ms	(* e (cos v))
26.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

series185.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify50.0ms

Counts

90 → 90

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	379	724
1	1736	658
2	5002	658
done	5002	658

prune230.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* e (cos v))
0.2b	(* e (/ 1 (/ (+ 1.0 (* e (cos v))) (sin v))))
0.2b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.3b	(/ 1 (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
108×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
47×	`associate-r`
38×	`add-exp-log`
22×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
9×	`pow1`
8×	`prod-exp`
7×	`cbrt-undiv`
6×	`associate-l` `associate-/l*` `unswap-sqr`
4×	`rec-exp` `1-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r/` `*-commutative` `associate-/l/`
1×	`pow-flip` `flip3-+` `associate-*r/` `un-div-inv` `flip-+` `inv-pow`

Counts

4 → 196

Calls

4 calls:

10.0ms	(* e (cos v))
40.0ms	(* e (/ 1 (/ (+ 1.0 (* e (cos v))) (sin v))))
25.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
15.0ms	(/ 1 (/ (+ 1.0 (* e (cos v))) (sin v)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* e (cos v))
91.0ms	(* e (/ 1 (/ (+ 1.0 (* e (cos v))) (sin v))))
74.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
65.0ms	(/ 1 (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify95.0ms

Counts

208 → 208

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	738	2089
1	3749	1866
2	5002	1742
done	5002	1742

prune432.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
0.2b	(* e (cos v))
0.3b	(* (sqrt e) (* (sin v) (pow e 1/2)))
0.3b	(* (sin v) (pow e 1/2))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

34.0ms	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
9.0ms	(* e (cos v))
29.0ms	(* (sqrt e) (* (sin v) (pow e 1/2)))
15.0ms	(* (sin v) (pow e 1/2))

series247.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
37.0ms	(* e (cos v))
48.0ms	(* (sqrt e) (* (sin v) (pow e 1/2)))
58.0ms	(* (sin v) (pow e 1/2))

simplify86.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	573	823
1	2886	661
2	5001	647
done	5001	647

prune261.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	21
1	31	21
2	31	21
done	31	21

end0.0ms

sample1.7s

Algorithm

intervals

Results

654.0ms	1561×	body	1280	valid
313.0ms	1245×	body	640	valid
243.0ms	4223×	body	80	valid
113.0ms	659×	body	320	valid
87.0ms	8000×	pre	80	true
38.0ms	312×	body	160	valid