Details

sample195.0ms

Algorithm

intervals

Results

48.0ms	147×	body	80	valid
31.0ms	39×	body	1280	valid
23.0ms	41×	body	640	valid
8.0ms	256×	pre	80	true
6.0ms	15×	body	320	valid
4.0ms	14×	body	160	valid

simplify22.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

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:

28.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
8.0ms	(* e (sin v))
9.0ms	(* e (cos v))

series203.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
48.0ms	(* e (sin v))
55.0ms	(* e (cos v))

simplify2.0s

Counts

71 → 71

Iterations

Iter	Nodes
3	3472
2	778
1	266
0	114

prune747.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
84×	`add-sqr-sqrt`
78×	`*-un-lft-identity`
66×	`add-cube-cbrt`
24×	`difference-of-squares`
19×	`associate-/r*`
15×	`add-cbrt-cube` `add-exp-log`
10×	`pow1`
9×	`associate-r` `associate-l`
5×	`div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `associate-/l` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-/r/`

Counts

4 → 152

Calls

4 calls:

11.0ms	(* e (cos v))
11.0ms	(* e (cos v))
16.0ms	(* e (cos v))
17.0ms	(/ (sin v) (/ (- 1 (* (* e (cos v)) (* e (cos v)))) e))

series357.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* e (cos v))
45.0ms	(* e (cos v))
61.0ms	(* e (cos v))
191.0ms	(/ (sin v) (/ (- 1 (* (* e (cos v)) (* e (cos v)))) e))

simplify5.0s

Counts

164 → 164

Iterations

Iter	Nodes
3	6037
2	1799
1	649
0	253

prune1.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

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:

11.0ms	(* e (cos v))
20.0ms	(/ (+ 1 (* e (cos v))) (sin v))
10.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series291.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* e (cos v))
113.0ms	(/ (+ 1 (* e (cos v))) (sin v))
124.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

simplify8.5s

Counts

129 → 129

Iterations

Iter	Nodes
3	5569
2	1531
1	537
0	216

prune1.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

992×	`times-frac`
768×	`add-sqr-sqrt`
502×	`sqrt-prod`
432×	`*-un-lft-identity`
404×	`add-cube-cbrt`
140×	`associate-r` `associate-l`
78×	`unswap-sqr`
61×	`add-exp-log`
49×	`add-cbrt-cube`
31×	`div-exp`
25×	`associate-/r*`
23×	`div-inv`
22×	`cbrt-undiv`
13×	`prod-exp`
12×	`associate-/l*`
10×	`cbrt-unprod`
8×	`pow1`
4×	`insert-posit16` `add-log-exp`
3×	`1-exp` `associate-/r/`
2×	`clear-num` `frac-2neg` `sqrt-div` `pow-prod-down` `*-commutative` `associate-/l/`
1×	`frac-times` `flip3-+` `associate-l/` `associate-r/` `flip-+`

Counts

4 → 622

Calls

4 calls:

12.0ms	(* e (cos v))
18.0ms	(/ (sqrt (+ 1 (* e (cos v)))) (sin v))
24.0ms	(/ (sqrt e) (/ (sqrt (+ 1 (* e (cos v)))) (sin v)))
87.0ms	(* (/ (sqrt e) (/ (sqrt (+ 1 (* e (cos v)))) 1)) (/ (sqrt e) (/ (sqrt (+ 1 (* e (cos v)))) (sin v))))

series605.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* e (cos v))
153.0ms	(/ (sqrt (+ 1 (* e (cos v)))) (sin v))
231.0ms	(/ (sqrt e) (/ (sqrt (+ 1 (* e (cos v)))) (sin v)))
146.0ms	(* (/ (sqrt e) (/ (sqrt (+ 1 (* e (cos v)))) 1)) (/ (sqrt e) (/ (sqrt (+ 1 (* e (cos v)))) (sin v))))

simplify1.9s

Counts

634 → 634

Iterations

Iter	Nodes
1	2368
0	701

prune9.4s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes211.0ms

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

sample5.8s

Algorithm

intervals

Results

2.7s	1494×	body	1280	valid
1.1s	1211×	body	640	valid
851.0ms	4323×	body	80	valid
460.0ms	656×	body	320	valid
357.0ms	8000×	pre	80	true
121.0ms	316×	body	160	valid