Details

sample104.0ms

Algorithm: halfpoints

simplify4.2s

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	123	11
5	193	11
6	337	11
7	625	11
8	1041	11
9	1574	11
10	1787	11
11	1927	11
12	1946	11
done	1946	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	(* (cos y) (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(+ (exp x) (exp (- x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out` `add-log-exp`
3×	`fma-def` `associate-l`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 54

Calls

2 calls:

25.0ms	(* (cos y) (/ (+ (exp x) (exp (- x))) 2.0))
6.0ms	(+ (exp x) (exp (- x)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* (cos y) (/ (+ (exp x) (exp (- x))) 2.0))
26.0ms	(+ (exp x) (exp (- x)))

simplify2.0s

Counts

60 → 60

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	115	756
1	303	719
2	982	634
3	3514	630
done	5000	630

prune152.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
32×	`sqrt-prod`
28×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
8×	`distribute-lft-out` `add-log-exp`
6×	`pow1` `fma-def`
4×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `add-cbrt-cube` `log1p-expm1-u`
2×	`+-commutative` `sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `sum-log` `flip-+` `div-inv`

Counts

4 → 94

Calls

4 calls:

6.0ms	(+ (exp x) (exp (- x)))
6.0ms	(+ (exp x) (exp (- x)))
11.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
13.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))

series242.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
25.0ms	(+ (exp x) (exp (- x)))
97.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
98.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))

simplify715.0ms

Counts

106 → 106

Iterations

Useful iterations: 3 (271.0ms)

Iter	Nodes	Cost
0	118	1378
1	234	1284
2	562	1190
3	1794	1160
done	5001	1160

prune345.0ms

Pruning

2 alts after pruning (1 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	(+ (exp x) (exp (- x)))
0.0b	(cbrt (pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3))
0.0b	(pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
64×	`sqrt-prod`
48×	`times-frac`
44×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
38×	`unpow-prod-down` `cube-prod`
14×	`distribute-lft-out`
8×	`add-log-exp`
6×	`pow1` `fma-def`
5×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv`
3×	`pow-unpow` `pow-pow`
2×	`+-commutative` `cube-div` `cube-mult` `flip3-+` `sqrt-div` `unpow3` `sum-log` `flip-+` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `sqrt-pow1` `pow1/2` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 151

Calls

4 calls:

6.0ms	(+ (exp x) (exp (- x)))
6.0ms	(+ (exp x) (exp (- x)))
14.0ms	(cbrt (pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3))
14.0ms	(pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3)

series372.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
25.0ms	(+ (exp x) (exp (- x)))
100.0ms	(cbrt (pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3))
225.0ms	(pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3)

simplify555.0ms

Counts

163 → 163

Iterations

Useful iterations: done (550.0ms)

Iter	Nodes	Cost
0	222	3033
1	524	2402
2	1272	2294
done	5000	2278

prune425.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

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	15	25
1	18	25
done	18	25

end0.0ms

sample1.9s

Algorithm: halfpoints