Details

sample302.0ms

Algorithm

intervals

Results

68.0ms	133×	body	80	valid
64.0ms	55×	body	1280	valid
35.0ms	43×	body	640	valid
11.0ms	256×	pre	80	true
8.0ms	14×	body	320	valid
7.0ms	11×	body	160	valid

simplify24.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	22
5	22
4	21
3	19
2	16
1	14
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1 (* e (cos v))))
0.1b	(* e (cos v))
0.1b	(* e (sin v))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 62

Calls

3 calls:

15.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
8.0ms	(* e (cos v))
21.0ms	(* e (sin v))

series262.0ms

Counts

3 → 9

Calls

3 calls:

150.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
54.0ms	(* e (cos v))
58.0ms	(* e (sin v))

simplify1.8s

Counts

71 → 71

Iterations

Iter	Nodes
3	3411
2	783
1	266
0	114

prune785.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(* e (cos v))
0.1b	(/ (+ 1 (* e (cos v))) (sin v))
0.2b	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`add-sqr-sqrt`
55×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
12×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 120

Calls

3 calls:

15.0ms	(* e (cos v))
30.0ms	(/ (+ 1 (* e (cos v))) (sin v))
9.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series210.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* e (cos v))
72.0ms	(/ (+ 1 (* e (cos v))) (sin v))
96.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

simplify7.6s

Counts

129 → 129

Iterations

Iter	Nodes
3	5569
2	1531
1	537
0	216

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt e) (+ 1 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(* (/ (sqrt e) (+ 1 (* e (cos v)))) (* (sqrt e) (sin v)))
0.3b	(* (sqrt e) (sin v))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
37×	`*-un-lft-identity` `add-cube-cbrt`
36×	`times-frac`
33×	`associate-l`
25×	`sqrt-prod`
22×	`add-cbrt-cube` `add-exp-log`
13×	`pow1`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-r`
6×	`associate-/l*`
5×	`pow-prod-down`
4×	`associate-/r/` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `div-exp` `-commutative` `unswap-sqr`
2×	`flip3-+` `flip-+` `div-inv`
1×	`clear-num` `frac-2neg` `associate-*l/`

Counts

4 → 129

Calls

4 calls:

13.0ms	(/ (sqrt e) (+ 1 (* e (cos v))))
13.0ms	(* e (cos v))
64.0ms	(* (/ (sqrt e) (+ 1 (* e (cos v)))) (* (sqrt e) (sin v)))
11.0ms	(* (sqrt e) (sin v))

series439.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(/ (sqrt e) (+ 1 (* e (cos v))))
48.0ms	(* e (cos v))
143.0ms	(* (/ (sqrt e) (+ 1 (* e (cos v)))) (* (sqrt e) (sin v)))
107.0ms	(* (sqrt e) (sin v))

simplify887.0ms

Counts

141 → 141

Iterations

Iter	Nodes
2	2408
1	687
0	261

prune1.8s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt e))
0.2b	(* (/ (sqrt e) (+ 1 (* e (cos v)))) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
0.3b	(* (sqrt (sqrt e)) (sin v))
0.3b	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate-l`
40×	`sqrt-prod`
34×	`add-sqr-sqrt`
32×	`add-cbrt-cube` `add-exp-log`
26×	`*-un-lft-identity` `add-cube-cbrt`
22×	`pow1`
18×	`times-frac`
16×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
5×	`associate-r`
4×	`sqrt-pow1` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `associate-/r/`
1×	`flip3-+` `associate-*l/` `flip-+` `div-inv`

Counts

4 → 122

Calls

4 calls:

1.0ms	(sqrt (sqrt e))
141.0ms	(* (/ (sqrt e) (+ 1 (* e (cos v)))) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
12.0ms	(* (sqrt (sqrt e)) (sin v))
29.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))

series564.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(sqrt (sqrt e))
126.0ms	(* (/ (sqrt e) (+ 1 (* e (cos v)))) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
128.0ms	(* (sqrt (sqrt e)) (sin v))
99.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))

simplify920.0ms

Counts

134 → 134

Iterations

Iter	Nodes
2	2614
1	689
0	248

prune1.7s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes204.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	12
1	12
0	9

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.4s	1536×	body	1280	valid
1.3s	4279×	body	80	valid
1.2s	1255×	body	640	valid
364.0ms	8000×	pre	80	true
359.0ms	623×	body	320	valid
158.0ms	307×	body	160	valid