Details

sample190.0ms

Algorithm

intervals

Results

49.0ms	256×	pre	80	true
42.0ms	53×	body	1280	valid
19.0ms	33×	body	640	valid
17.0ms	137×	body	80	valid
10.0ms	25×	body	320	valid
2.0ms	8×	body	160	valid

simplify27.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
5	24
4	23
3	21
2	18
1	16
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize35.0ms

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))

rewrite34.0ms

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:

14.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
8.0ms	(* e (cos v))
10.0ms	(* e (sin v))

series214.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
40.0ms	(* e (cos v))
60.0ms	(* e (sin v))

simplify563.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	2015
2	840
1	279
0	114

prune363.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite86.0ms

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:

43.0ms	(/ (+ 1 (* e (cos v))) (sin v))
20.0ms	(* e (cos v))
19.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series275.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(/ (+ 1 (* e (cos v))) (sin v))
59.0ms	(* e (cos v))
121.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

simplify986.0ms

Counts

129 → 129

Iterations

Iter	Nodes
done	2001
2	1627
1	545
0	216

prune691.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
46×	`times-frac`
31×	`add-sqr-sqrt`
29×	`add-cbrt-cube` `add-exp-log`
27×	`*-un-lft-identity` `add-cube-cbrt`
19×	`pow-prod-down`
11×	`prod-exp` `cbrt-unprod`
10×	`associate-/r*`
9×	`associate-/r/`
8×	`associate-*r/`
7×	`associate-r` `associate-l`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`flip3--` `pow-sqr` `pow-prod-up` `insert-posit16` `flip--` `add-log-exp` `difference-of-squares`
3×	`-commutative` `associate-/l`
2×	`pow-plus` `unswap-sqr`
1×	`pow2` `clear-num` `frac-2neg` `swap-sqr`

Counts

4 → 134

Calls

4 calls:

13.0ms	(* e (cos v))
8.0ms	(* e (cos v))
40.0ms	(* (* e (cos v)) (* e (cos v)))
56.0ms	(/ e (/ (- (* 1 1) (* (* e (cos v)) (* e (cos v)))) (* (sin v) (- 1 (* e (cos v))))))

series374.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* e (cos v))
68.0ms	(* e (cos v))
79.0ms	(* (* e (cos v)) (* e (cos v)))
179.0ms	(/ e (/ (- (* 1 1) (* (* e (cos v)) (* e (cos v)))) (* (sin v) (- 1 (* e (cos v))))))

simplify574.0ms

Counts

146 → 146

Iterations

Iter	Nodes
done	2001
1	596
0	216

prune755.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

294×	`times-frac`
196×	`add-sqr-sqrt`
162×	`*-un-lft-identity` `add-cube-cbrt`
93×	`sqrt-prod`
86×	`associate-r`
22×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r*` `div-inv`
11×	`unswap-sqr`
9×	`associate-l` `associate-/l*`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/`
1×	`flip3-+` `associate-*r/` `flip-+`

Counts

4 → 278

Calls

4 calls:

22.0ms	(/ (+ 1 (* e (cos v))) (sin v))
14.0ms	(* e (cos v))
31.0ms	(* (sqrt e) (/ (sqrt e) (/ (+ 1 (* e (cos v))) (sin v))))
14.0ms	(/ (sqrt e) (/ (+ 1 (* e (cos v))) (sin v)))

series471.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(/ (+ 1 (* e (cos v))) (sin v))
45.0ms	(* e (cos v))
141.0ms	(* (sqrt e) (/ (sqrt e) (/ (+ 1 (* e (cos v))) (sin v))))
177.0ms	(/ (sqrt e) (/ (+ 1 (* e (cos v))) (sin v)))

simplify936.0ms

Counts

290 → 290

Iterations

Iter	Nodes
done	2001
1	1111
0	391

prune1.6s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes253.0ms

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
done	14
1	14
0	9

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.3s	1480×	body	1280	valid
1.8s	1223×	body	640	valid
930.0ms	4322×	body	80	valid
371.0ms	644×	body	320	valid
324.0ms	8000×	pre	80	true
156.0ms	331×	body	160	valid