Details

sample111.0ms

Algorithm: halfpoints

simplify3.7s

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	617	11
8	1035	11
9	1587	11
10	1802	11
11	1942	11
12	1969	11
done	1969	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)))
0.0b	(* (cos y) (/ (+ (exp x) (exp (- x))) 2.0))

rewrite37.0ms

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:

6.0ms	(+ (exp x) (exp (- x)))
29.0ms	(* (cos y) (/ (+ (exp x) (exp (- x))) 2.0))

series84.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (exp x) (exp (- x)))
59.0ms	(* (cos y) (/ (+ (exp x) (exp (- x))) 2.0))

simplify2.1s

Counts

60 → 60

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	115	756
1	303	719
2	982	634
3	3529	630
done	5000	630

prune148.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
48×	`sqrt-prod`
38×	`times-frac`
36×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
19×	`associate-r`
11×	`pow1`
10×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
6×	`sqrt-div` `add-log-exp`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u`
3×	`fma-def` `associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
2×	`sqrt-pow1` `pow1/2`
1×	`+-commutative` `frac-times` `flip3-+` `associate-l` `associate-l/` `sum-log` `-commutative` `flip-+`

Counts

4 → 116

Calls

4 calls:

6.0ms	(+ (exp x) (exp (- x)))
11.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
13.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
54.0ms	(* (* (cos y) (sqrt (/ (+ (exp x) (exp (- x))) 2.0))) (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
97.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
100.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
124.0ms	(* (* (cos y) (sqrt (/ (+ (exp x) (exp (- x))) 2.0))) (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))

simplify2.1s

Counts

128 → 128

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	173	2293
1	414	1936
2	1307	1730
3	4295	1703
done	5000	1703

prune390.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (cos y)) (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(sqrt (cos y))
0.0b	(sqrt (cos y))
0.1b	(* (sqrt (cos y)) (* (sqrt (cos y)) (/ (+ (exp x) (exp (- x))) 2.0)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
18×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
17×	`associate-r`
14×	`times-frac` `sqrt-prod`
13×	`pow1`
12×	`associate-l`
7×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-*r/` `distribute-lft-out`
2×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `*-commutative`
1×	`div-inv`

Counts

4 → 98

Calls

4 calls:

27.0ms	(* (sqrt (cos y)) (/ (+ (exp x) (exp (- x))) 2.0))
1.0ms	(sqrt (cos y))
1.0ms	(sqrt (cos y))
30.0ms	(* (sqrt (cos y)) (* (sqrt (cos y)) (/ (+ (exp x) (exp (- x))) 2.0)))

series162.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (sqrt (cos y)) (/ (+ (exp x) (exp (- x))) 2.0))
17.0ms	(sqrt (cos y))
14.0ms	(sqrt (cos y))
61.0ms	(* (sqrt (cos y)) (* (sqrt (cos y)) (/ (+ (exp x) (exp (- x))) 2.0)))

simplify3.2s

Counts

110 → 110

Iterations

Useful iterations: 3 (2.3s)

Iter	Nodes	Cost
0	139	1518
1	358	1307
2	1232	1145
3	4922	1144
done	5000	1144

prune283.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

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	12	22
1	15	22
done	15	22

end0.0ms

sample2.3s

Algorithm: halfpoints