Details

sample147.0ms

Algorithm: halfpoints

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	16	24
1	30	11
2	48	11
3	83	11
4	117	11
5	188	11
6	331	11
7	556	11
8	1000	11
9	1366	11
10	1686	11
11	1768	11
12	1790	11
done	1790	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `associate-l`
13×	`times-frac`
11×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out` `add-log-exp`
3×	`associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 47

Calls

2 calls:

57.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
12.0ms	(+ (exp x) (exp (- x)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
24.0ms	(+ (exp x) (exp (- x)))

simplify1.5s

Counts

53 → 53

Iterations

Useful iterations: 3 (588.0ms)

Iter	Nodes	Cost
0	109	709
1	273	694
2	759	608
3	2122	605
done	5001	605

prune155.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
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)))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
48×	`sqrt-prod`
38×	`times-frac`
35×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
19×	`associate-l`
11×	`pow1`
10×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
6×	`sqrt-div` `add-log-exp`
4×	`rem-sqrt-square`
3×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv`
2×	`sqrt-pow1` `pow1/2`
1×	`+-commutative` `frac-times` `flip3-+` `associate-r/` `associate-r` `sum-log` `-commutative` `flip-+`

Counts

4 → 105

Calls

4 calls:

17.0ms	(+ (exp x) (exp (- x)))
30.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
34.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
166.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

series443.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (exp x) (exp (- x)))
123.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
135.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
152.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

simplify2.0s

Counts

117 → 117

Iterations

Useful iterations: 3 (985.0ms)

Iter	Nodes	Cost
0	165	2178
1	384	1833
2	1047	1648
3	2944	1623
done	5001	1623

prune477.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (exp x) (exp (- x))))
0.2b	(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
0.7b	(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 1)) (* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
1.0b	(sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0))

rewrite759.0ms

Algorithm

rewrite-expression-head

Rules

116×	`sqrt-prod`
69×	`*-un-lft-identity`
65×	`times-frac`
56×	`associate-l`
55×	`add-sqr-sqrt`
49×	`add-cube-cbrt`
20×	`pow1`
19×	`sqrt-div`
18×	`add-exp-log` `add-cbrt-cube`
10×	`associate-*l/` `distribute-lft-out`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`frac-times` `associate-*r/`
4×	`rem-sqrt-square` `add-log-exp`
3×	`div-inv`
2×	`sqrt-pow1` `pow1/2` `associate-r` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 153

Calls

4 calls:

19.0ms	(sqrt (+ (exp x) (exp (- x))))
185.0ms	(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
503.0ms	(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 1)) (* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
44.0ms	(sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0))

series637.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(sqrt (+ (exp x) (exp (- x))))
240.0ms	(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
139.0ms	(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 1)) (* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
180.0ms	(sqrt (/ (sqrt (+ (exp x) (exp (- x)))) 2.0))

simplify1.6s

Counts

165 → 165

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	290	4458
1	643	3958
2	1880	3650
done	5001	3635

prune885.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample4.3s

Algorithm: halfpoints