Details

sample146.0ms

Algorithm: halfpoints

simplify4.4s

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	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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite75.0ms

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:

61.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
12.0ms	(+ (exp x) (exp (- x)))

series101.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms	(+ (exp x) (exp (- x)))

simplify1.5s

Counts

53 → 53

Iterations

Useful iterations: 3 (540.0ms)

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

prune216.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
19×	`associate-l`
15×	`add-cube-cbrt`
13×	`add-exp-log` `times-frac`
10×	`associate-r` `add-cbrt-cube`
8×	`add-log-exp`
5×	`pow1` `prod-exp` `unswap-sqr`
4×	`unpow-prod-down` `distribute-lft-out`
3×	`sum-log` `cbrt-unprod`
2×	`*-commutative` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `associate-+r+` `flip3-+` `div-exp` `pow-prod-down` `associate-*l/` `pow-exp` `flip-+` `div-inv`

Counts

3 → 74

Calls

3 calls:

152.0ms	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
51.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
36.0ms	(* 1/12 (pow x 4))

series224.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
63.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
56.0ms	(* 1/12 (pow x 4))

simplify3.7s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	151	1278
1	366	1225
2	1074	1093
3	4276	1086
done	5000	1086

prune222.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
32×	`sqrt-pow1`
22×	`pow-prod-down`
12×	`pow1/2`
10×	`add-sqr-sqrt` `*-un-lft-identity` `pow-prod-up`
8×	`add-cube-cbrt`
7×	`associate-*l/`
6×	`add-exp-log` `sqrt-div` `sqrt-prod` `pow-sqr` `add-cbrt-cube` `add-log-exp`
4×	`swap-sqr` `associate-r` `associate-l`
1×	`+-commutative` `pow2` `frac-times` `flip3-+` `pow-plus` `sqrt-unprod` `associate-r/` `prod-exp` `sum-log` `rem-square-sqrt` `-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

29.0ms	(+ (exp x) (exp (- x)))
18.0ms	(sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
16.0ms	(sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
169.0ms	(* (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))

series569.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (exp x) (exp (- x)))
173.0ms	(sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
165.0ms	(sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
182.0ms	(* (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))

simplify2.7s

Counts

100 → 100

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	121	1763
1	269	1309
2	841	1165
3	3304	1068
done	5001	1056

prune440.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample7.0s

Algorithm: halfpoints