Details

sample218.0ms

Algorithm: halfpoints

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	16	24
1	30	11
2	48	11
3	83	11
4	118	11
5	231	11
6	979	11
done	5000	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite85.0ms

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:

13.0ms	(+ (exp x) (exp (- x)))
71.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series105.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (exp x) (exp (- x)))
69.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify700.0ms

Counts

53 → 53

Iterations

Useful iterations: done (698.0ms)

Iter	Nodes	Cost
0	109	709
1	284	694
2	1327	608
done	5000	606

prune206.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
0.1b	(* 1/12 (pow x 4))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`associate-l`
14×	`add-cube-cbrt`
13×	`times-frac`
12×	`add-exp-log`
10×	`associate-r`
9×	`add-cbrt-cube`
5×	`prod-exp` `unswap-sqr`
4×	`pow1` `unpow-prod-down`
3×	`cbrt-unprod` `distribute-lft-out`
2×	`*-commutative` `add-log-exp` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `div-exp` `pow-prod-down` `associate-*l/` `pow-exp` `div-inv`

Counts

2 → 60

Calls

2 calls:

134.0ms	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
21.0ms	(* 1/12 (pow x 4))

series118.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
43.0ms	(* 1/12 (pow x 4))

simplify920.0ms

Counts

66 → 66

Iterations

Useful iterations: done (918.0ms)

Iter	Nodes	Cost
0	131	994
1	312	960
2	1441	854
done	5001	851

prune271.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/12 (pow x 4))
0.1b	(* 1/12 (pow x 4))
0.2b	(* (/ (sqrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) 2.0) (cos y))
0.7b	(* (/ (sqrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) 1) (* (/ (sqrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) 2.0) (cos y)))

rewrite466.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
56×	`associate-l`
51×	`*-un-lft-identity`
49×	`add-exp-log`
44×	`times-frac`
39×	`add-cube-cbrt`
34×	`add-cbrt-cube`
25×	`sqrt-prod`
23×	`prod-exp`
18×	`associate-r`
14×	`cbrt-unprod`
11×	`pow1`
10×	`div-exp`
9×	`unswap-sqr`
8×	`unpow-prod-down`
6×	`cbrt-undiv` `distribute-lft-out`
4×	`pow-prod-down` `associate-l/` `-commutative` `add-log-exp` `sqr-pow`
3×	`1-exp`
2×	`pow-to-exp` `pow-exp` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 149

Calls

4 calls:

17.0ms	(* 1/12 (pow x 4))
15.0ms	(* 1/12 (pow x 4))
151.0ms	(* (/ (sqrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) 2.0) (cos y))
272.0ms	(* (/ (sqrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) 1) (* (/ (sqrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) 2.0) (cos y)))

series354.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* 1/12 (pow x 4))
41.0ms	(* 1/12 (pow x 4))
169.0ms	(* (/ (sqrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) 2.0) (cos y))
101.0ms	(* (/ (sqrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) 1) (* (/ (sqrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) 2.0) (cos y)))

simplify2.1s

Counts

161 → 161

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	223	3759
1	611	3409
2	3495	2543
done	5001	2429

prune624.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes43.0ms

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	10	11
1	12	11
done	12	11

end0.0ms

sample5.7s

Algorithm: halfpoints