Details

sample116.0ms

Algorithm: halfpoints

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	16	24
1	30	11
2	46	11
3	81	11
4	113	11
5	181	11
6	310	11
7	589	11
8	974	11
9	1495	11
10	1685	11
11	1822	11
12	1847	11
done	1847	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
18.3b	(- (exp x) (exp (- x)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
23×	`add-cube-cbrt`
14×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `diff-log` `sum-log` `flip--` `flip-+`

Counts

4 → 99

Calls

4 calls:

6.0ms	(+ (exp x) (exp (- x)))
27.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
28.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms	(- (exp x) (exp (- x)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (exp x) (exp (- x)))
60.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
83.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
41.0ms	(- (exp x) (exp (- x)))

simplify2.0s

Counts

111 → 111

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	200	1479
1	509	1449
2	1414	1277
3	4577	1273
done	5001	1273

prune362.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
18.3b	(- (exp x) (exp (- x)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

51×	`*-un-lft-identity`
47×	`add-sqr-sqrt`
41×	`times-frac`
38×	`associate-l`
32×	`sqrt-prod`
31×	`add-cube-cbrt`
14×	`add-exp-log` `add-cbrt-cube`
12×	`pow1`
6×	`distribute-lft-out` `add-log-exp`
5×	`sqrt-div` `prod-exp` `cbrt-unprod`
4×	`associate-r` `pow-prod-down` `associate-*l/` `distribute-lft-out--` `difference-of-squares`
3×	`div-inv`
2×	`rem-sqrt-square` `*-commutative` `unswap-sqr`
1×	`cbrt-undiv` `frac-times` `sub-neg` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `associate-*r/` `div-exp` `flip--`

Counts

4 → 117

Calls

4 calls:

11.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
56.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
30.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms	(- (exp x) (exp (- x)))

series357.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
126.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
85.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
40.0ms	(- (exp x) (exp (- x)))

simplify866.0ms

Counts

129 → 129

Iterations

Useful iterations: done (862.0ms)

Iter	Nodes	Cost
0	248	2293
1	590	1977
2	1642	1752
done	5001	1742

prune482.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.1b	(* (* (/ (+ (exp x) (exp (- x))) 2.0) (sqrt (cos y))) (sqrt (cos y)))
18.3b	(- (exp x) (exp (- x)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
20×	`associate-l`
18×	`add-exp-log` `add-cbrt-cube`
17×	`add-cube-cbrt`
16×	`times-frac`
12×	`pow1`
9×	`associate-r`
7×	`prod-exp` `cbrt-unprod`
6×	`sqrt-prod` `add-log-exp`
4×	`pow-prod-down` `distribute-lft-out--` `difference-of-squares`
3×	`associate-*l/`
2×	`cbrt-undiv` `div-exp` `*-commutative` `unswap-sqr`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `flip--` `div-inv`

Counts

4 → 89

Calls

4 calls:

1.0ms	(sqrt (cos y))
28.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
40.0ms	(* (* (/ (+ (exp x) (exp (- x))) 2.0) (sqrt (cos y))) (sqrt (cos y)))
6.0ms	(- (exp x) (exp (- x)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt (cos y))
84.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
64.0ms	(* (* (/ (+ (exp x) (exp (- x))) 2.0) (sqrt (cos y))) (sqrt (cos y)))
37.0ms	(- (exp x) (exp (- x)))

simplify1.2s

Counts

101 → 101

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	193	1429
1	509	1271
2	1588	1081
done	5000	1079

prune325.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	35
1	22	35
done	22	35

end0.0ms

sample2.4s

Algorithm: halfpoints