Details

sample562.0ms

Algorithm: halfpoints

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	6472
7	2102
6	693
5	220
4	119
3	84
2	48
1	30
0	16

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.2b

localize69.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
58.1b	(- (exp x) (exp (- x)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
22×	`add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
7×	`pow1`
6×	`associate-r`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`insert-posit16` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 90

Calls

3 calls:

42.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
37.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
15.0ms	(- (exp x) (exp (- x)))

series213.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
89.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
40.0ms	(- (exp x) (exp (- x)))

simplify1.5s

Counts

99 → 99

Iterations

Iter	Nodes
done	5011
2	1927
1	487
0	187

prune573.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize92.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 5) 1/60)
0.1b	(* (* 1/3 (* x x)) x)
0.1b	(* (/ (+ (* (pow x 5) 1/60) (+ (+ x x) (* (* 1/3 (* x x)) x))) 2) (sin y))
0.2b	(* 1/3 (* x x))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `add-exp-log`
25×	`add-cbrt-cube`
24×	`associate-l`
20×	`pow1`
17×	`*-un-lft-identity` `add-cube-cbrt`
14×	`prod-exp`
12×	`cbrt-unprod`
10×	`times-frac` `associate-r` `pow-prod-down`
6×	`unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `cbrt-undiv` `div-exp` `associate-*l/` `pow-exp` `div-inv`

Counts

4 → 101

Calls

4 calls:

8.0ms	(* (pow x 5) 1/60)
43.0ms	(* (* 1/3 (* x x)) x)
142.0ms	(* (/ (+ (* (pow x 5) 1/60) (+ (+ x x) (* (* 1/3 (* x x)) x))) 2) (sin y))
13.0ms	(* 1/3 (* x x))

series289.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (pow x 5) 1/60)
74.0ms	(* (* 1/3 (* x x)) x)
110.0ms	(* (/ (+ (* (pow x 5) 1/60) (+ (+ x x) (* (* 1/3 (* x x)) x))) 2) (sin y))
38.0ms	(* 1/3 (* x x))

simplify1.8s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	1739
1	466
0	179

prune854.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* 1/3 x))
0.1b	(/ 2 (sin y))
0.2b	(/ (+ (* 1/60 (pow x 5)) (* x (+ 2 (* x (* 1/3 x))))) (/ 2 (sin y)))
0.3b	(* 1/3 x)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

16.0ms	(* x (* 1/3 x))
8.0ms	(/ 2 (sin y))
36.0ms	(/ (+ (* 1/60 (pow x 5)) (* x (+ 2 (* x (* 1/3 x))))) (/ 2 (sin y)))
5.0ms	(* 1/3 x)

series185.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* x (* 1/3 x))
27.0ms	(/ 2 (sin y))
107.0ms	(/ (+ (* 1/60 (pow x 5)) (* x (+ 2 (* x (* 1/3 x))))) (/ 2 (sin y)))
17.0ms	(* 1/3 x)

simplify2.4s

Counts

151 → 151

Iterations

Iter	Nodes
done	5001
2	2316
1	628
0	239

prune1.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize117.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ 1 (sqrt 2)) (/ (+ (* 1/60 (pow x 5)) (* x (+ 2 (* x (* 1/3 x))))) (/ (sqrt 2) (sin y))))
0.3b	(* 1/3 x)
0.4b	(/ (sqrt 2) (sin y))
1.0b	(/ 1 (sqrt 2))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

215×	`times-frac`
186×	`add-sqr-sqrt`
119×	`*-un-lft-identity`
111×	`add-cube-cbrt`
74×	`associate-r`
73×	`sqrt-prod`
51×	`add-exp-log`
31×	`add-cbrt-cube`
25×	`associate-l`
21×	`div-exp` `unswap-sqr`
13×	`prod-exp`
11×	`cbrt-undiv`
10×	`pow1`
9×	`associate-/r` `associate-/l`
7×	`cbrt-unprod` `div-inv`
4×	`rec-exp` `1-exp` `insert-posit16` `add-log-exp`
3×	`pow-flip`
2×	`clear-num` `frac-2neg` `pow-prod-down` `*-commutative`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-l/` `associate-r/` `associate-/r/` `inv-pow`

Counts

4 → 249

Calls

4 calls:

40.0ms	(* (/ 1 (sqrt 2)) (/ (+ (* 1/60 (pow x 5)) (* x (+ 2 (* x (* 1/3 x))))) (/ (sqrt 2) (sin y))))
5.0ms	(* 1/3 x)
6.0ms	(/ (sqrt 2) (sin y))
5.0ms	(/ 1 (sqrt 2))

series344.0ms

Counts

4 → 10

Calls

4 calls:

266.0ms	(* (/ 1 (sqrt 2)) (/ (+ (* 1/60 (pow x 5)) (* x (+ 2 (* x (* 1/3 x))))) (/ (sqrt 2) (sin y))))
16.0ms	(* 1/3 x)
62.0ms	(/ (sqrt 2) (sin y))
0.0ms	(/ 1 (sqrt 2))

simplify2.7s

Counts

259 → 259

Iterations

Iter	Nodes
done	5004
2	3816
1	1198
0	380

prune2.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes173.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	34
1	34
0	26

end0.0ms

sample12.6s

Algorithm: halfpoints