Details

sample356.0ms

Algorithm

intervals

Results

20.0ms	46×	body	1280	valid
10.0ms	39×	body	640	valid
8.0ms	145×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	19×	body	320	valid
1.0ms	7×	body	160	valid

simplify36.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

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

localize13.0ms

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))

rewrite40.0ms

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:

17.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
8.0ms	(* e (cos v))
12.0ms	(* e (sin v))

series186.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms	(* e (cos v))
55.0ms	(* e (sin v))

simplify41.0ms

Counts

68 → 68

Iterations

Useful iterations: 1 (8.0ms)

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

prune159.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

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:

8.0ms	(* e (cos v))
25.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
14.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* e (cos v))
73.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
91.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify63.0ms

Counts

126 → 126

Iterations

Useful iterations: 1 (12.0ms)

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

prune320.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt e) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.3b	(* (sqrt e) (sin v))
0.3b	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
37×	`add-cube-cbrt` `*-un-lft-identity`
36×	`times-frac`
33×	`associate-l`
25×	`sqrt-prod`
22×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-r`
6×	`associate-/l*`
5×	`pow-prod-down`
4×	`associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r` `-commutative` `unswap-sqr`
2×	`flip3-+` `flip-+` `div-inv`
1×	`frac-2neg` `associate-*l/` `clear-num`

Counts

4 → 125

Calls

4 calls:

12.0ms	(/ (sqrt e) (+ 1.0 (* e (cos v))))
9.0ms	(* e (cos v))
12.0ms	(* (sqrt e) (sin v))
50.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(/ (sqrt e) (+ 1.0 (* e (cos v))))
39.0ms	(* e (cos v))
71.0ms	(* (sqrt e) (sin v))
103.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))

simplify86.0ms

Counts

137 → 137

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	702	1261
1	3232	1095
2	5001	1092
done	5001	1092

prune341.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.2b	(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
0.3b	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

1566×	`times-frac`
742×	`add-sqr-sqrt`
740×	`add-cube-cbrt` `*-un-lft-identity`
564×	`sqrt-prod`
91×	`associate-/r*`
59×	`div-inv`
22×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
10×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `associate-l` `clear-num` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 756

Calls

4 calls:

9.0ms	(* e (cos v))
25.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
38.0ms	(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
33.0ms	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

series327.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* e (cos v))
72.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
101.0ms	(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
118.0ms	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

simplify153.0ms

Counts

768 → 768

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	2288	14944
1	5001	14401
done	5001	14401

prune1.5s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes102.0ms

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

sample1.6s

Algorithm

intervals

Results

643.0ms	1516×	body	1280	valid
313.0ms	1243×	body	640	valid
224.0ms	4338×	body	80	valid
113.0ms	611×	body	320	valid
90.0ms	8000×	pre	80	true
36.0ms	292×	body	160	valid