Details

sample100.0ms

Algorithm: halfpoints

simplify3.4s

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	597	11
8	982	11
9	1505	11
10	1702	11
11	1839	11
12	1865	11
done	1865	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.8b	(- (exp x) (exp (- x)))

rewrite69.0ms

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:

27.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms	(+ (exp x) (exp (- x)))
27.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms	(- (exp x) (exp (- x)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
22.0ms	(+ (exp x) (exp (- x)))
79.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
37.0ms	(- (exp x) (exp (- x)))

simplify1.8s

Counts

111 → 111

Iterations

Useful iterations: 3 (855.0ms)

Iter	Nodes	Cost
0	200	1479
1	509	1449
2	1416	1277
3	4587	1273
done	5000	1273

prune339.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

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))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.8b	(- (exp x) (exp (- x)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
42×	`times-frac`
32×	`sqrt-prod`
30×	`add-cube-cbrt`
19×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`distribute-lft-out` `add-log-exp`
4×	`rem-sqrt-square` `distribute-lft-out--` `difference-of-squares`
3×	`associate-r` `div-inv`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--`

Counts

4 → 108

Calls

4 calls:

11.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
11.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
27.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms	(- (exp x) (exp (- x)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
96.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
76.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
37.0ms	(- (exp x) (exp (- x)))

simplify1.5s

Counts

120 → 120

Iterations

Useful iterations: 3 (729.0ms)

Iter	Nodes	Cost
0	198	1766
1	425	1681
2	1090	1539
3	3732	1514
done	5000	1514

prune438.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3)
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.8b	(- (exp x) (exp (- x)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
53×	`times-frac`
48×	`sqrt-prod`
41×	`add-cube-cbrt`
19×	`unpow-prod-down` `cube-prod` `associate-l`
10×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `distribute-lft-out`
6×	`add-log-exp`
4×	`div-inv` `distribute-lft-out--` `difference-of-squares`
3×	`pow-unpow` `pow-pow` `associate-r`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `sqrt-div` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `cube-div` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `div-exp` `pow-prod-down` `associate-l/` `pow-exp` `-commutative` `sqrt-pow2` `flip--` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 139

Calls

4 calls:

11.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
17.0ms	(pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3)
27.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms	(- (exp x) (exp (- x)))

series447.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
230.0ms	(pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3)
81.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
35.0ms	(- (exp x) (exp (- x)))

simplify652.0ms

Counts

151 → 151

Iterations

Useful iterations: 2 (253.0ms)

Iter	Nodes	Cost
0	265	2539
1	678	2317
2	1761	2142
done	5000	2142

prune543.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes62.0ms

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	21	38
1	25	38
done	25	38

end0.0ms

sample2.1s

Algorithm: halfpoints