Details

sample112.0ms

Algorithm: halfpoints

simplify14.4s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	16	24
1	30	11
2	46	11
3	83	11
4	126	11
5	203	11
6	365	11
7	693	11
8	1177	11
9	3703	11
done	5000	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
35×	`associate-l`
31×	`add-cube-cbrt`
29×	`times-frac`
14×	`add-exp-log` `add-cbrt-cube`
9×	`prod-diff`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`fma-def` `fma-neg`
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 → 122

Calls

4 calls:

6.0ms	(+ (exp x) (exp (- x)))
28.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
26.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
7.0ms	(- (exp x) (exp (- x)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (exp x) (exp (- x)))
59.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
81.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
37.0ms	(- (exp x) (exp (- x)))

simplify640.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (227.0ms)

Iter	Nodes	Cost
0	232	1903
1	571	1734
2	1701	1486
done	5000	1486

prune403.0ms

Pruning

2 alts after pruning (2 fresh and 0 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	(* (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)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
41×	`times-frac`
38×	`add-cube-cbrt` `associate-l`
32×	`sqrt-prod`
14×	`add-exp-log` `add-cbrt-cube`
12×	`pow1`
9×	`prod-diff`
6×	`distribute-lft-out` `add-log-exp`
5×	`sqrt-div` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `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 → 137

Calls

4 calls:

11.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
55.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
27.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
7.0ms	(- (exp x) (exp (- x)))

series330.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
120.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
77.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms	(- (exp x) (exp (- x)))

simplify675.0ms

Counts

149 → 149

Iterations

Useful iterations: 2 (233.0ms)

Iter	Nodes	Cost
0	280	2745
1	651	2268
2	2007	1970
done	5001	1970

prune529.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

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)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
24×	`add-cube-cbrt`
20×	`associate-l`
18×	`add-exp-log` `add-cbrt-cube`
16×	`times-frac`
12×	`pow1`
9×	`associate-r` `prod-diff`
7×	`prod-exp` `cbrt-unprod`
6×	`sqrt-prod` `add-log-exp`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `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 → 109

Calls

4 calls:

1.0ms	(sqrt (cos y))
32.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms	(* (* (/ (+ (exp x) (exp (- x))) 2.0) (sqrt (cos y))) (sqrt (cos y)))
7.0ms	(- (exp x) (exp (- x)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (cos y))
81.0ms	(* (/ (- (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)))

simplify706.0ms

Counts

121 → 121

Iterations

Useful iterations: 2 (247.0ms)

Iter	Nodes	Cost
0	225	1857
1	569	1550
2	1862	1285
done	5000	1285

prune419.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

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

sample2.3s

Algorithm: halfpoints