Details

sample104.0ms

Algorithm: halfpoints

simplify33.5s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	16	24
1	30	11
2	46	11
3	83	11
4	130	11
5	221	11
6	452	11
7	982	11
8	1652	11
9	3943	11
done	5000	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)))

rewrite34.0ms

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:

26.0ms	(* (cos y) (/ (+ (exp x) (exp (- x))) 2.0))
6.0ms	(+ (exp x) (exp (- x)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(* (cos y) (/ (+ (exp x) (exp (- x))) 2.0))
28.0ms	(+ (exp x) (exp (- x)))

simplify485.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	115	756
1	305	719
2	1232	634
done	5000	634

prune148.0ms

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))

rewrite40.0ms

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)))
13.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
12.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))

series250.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (exp x) (exp (- x)))
23.0ms	(+ (exp x) (exp (- x)))
98.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
101.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))

simplify1.6s

Counts

106 → 106

Iterations

Useful iterations: 3 (279.0ms)

Iter	Nodes	Cost
0	118	1378
1	234	1284
2	648	1194
3	3159	1168
done	5000	1168

prune354.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(cbrt (pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3))
0.0b	(pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

96×	`sqrt-prod`
94×	`*-un-lft-identity`
74×	`times-frac`
64×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
44×	`cbrt-prod`
38×	`unpow-prod-down` `cube-prod`
18×	`distribute-lft-out`
8×	`pow1`
6×	`div-inv`
5×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-pow` `sqrt-pow1` `pow1/2`
2×	`cube-div` `cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 177

Calls

4 calls:

14.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
11.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
15.0ms	(cbrt (pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3))
15.0ms	(pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3)

series865.0ms

Counts

4 → 12

Calls

4 calls:

428.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
102.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
107.0ms	(cbrt (pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3))
228.0ms	(pow (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 3)

simplify666.0ms

Counts

189 → 189

Iterations

Useful iterations: 2 (158.0ms)

Iter	Nodes	Cost
0	203	3727
1	473	3040
2	1464	2898
done	5000	2898

prune496.0ms

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

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	18	25
done	18	25

end0.0ms

sample1.8s

Algorithm: halfpoints