Details

sample109.0ms

Algorithm: halfpoints

simplify3.1s

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	116	11
5	191	11
6	337	11
7	646	11
8	1103	11
9	2841	11
done	5001	11

prune11.0ms

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))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

5.0ms	(+ (exp x) (exp (- x)))
24.0ms	(* (cos y) (/ (+ (exp x) (exp (- x))) 2.0))

series81.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp x) (exp (- x)))
59.0ms	(* (cos y) (/ (+ (exp x) (exp (- x))) 2.0))

simplify540.0ms

Counts

53 → 53

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	111	718
1	294	683
2	987	599
done	5000	599

prune123.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

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)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
48×	`sqrt-prod`
38×	`times-frac`
35×	`add-sqr-sqrt`
29×	`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×	`rem-sqrt-square`
3×	`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 → 105

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
13.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
10.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
50.0ms	(* (* (cos y) (sqrt (/ (+ (exp x) (exp (- x))) 2.0))) (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (exp x) (exp (- x)))
97.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
95.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
122.0ms	(* (* (cos y) (sqrt (/ (+ (exp x) (exp (- x))) 2.0))) (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))

simplify568.0ms

Counts

117 → 117

Iterations

Useful iterations: 2 (148.0ms)

Iter	Nodes	Cost
0	167	2193
1	401	1863
2	1319	1663
done	5000	1663

prune344.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

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)))

rewrite60.0ms

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×	`pow-prod-down` `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 → 90

Calls

4 calls:

28.0ms	(* (sqrt (cos y)) (/ (+ (exp x) (exp (- x))) 2.0))
1.0ms	(sqrt (cos y))
1.0ms	(sqrt (cos y))
27.0ms	(* (sqrt (cos y)) (* (sqrt (cos y)) (/ (+ (exp x) (exp (- x))) 2.0)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (sqrt (cos y)) (/ (+ (exp x) (exp (- x))) 2.0))
14.0ms	(sqrt (cos y))
19.0ms	(sqrt (cos y))
57.0ms	(* (sqrt (cos y)) (* (sqrt (cos y)) (/ (+ (exp x) (exp (- x))) 2.0)))

simplify596.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (113.0ms)

Iter	Nodes	Cost
0	133	1442
1	350	1245
2	1247	1083
done	5000	1083

prune242.0ms

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	12	22
1	15	22
done	15	22

end0.0ms

sample2.3s

Algorithm: halfpoints