Details

sample160.0ms

Algorithm: halfpoints

simplify58.0ms

Counts: 1 → 1

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

16×	`-un-lft-identity` `associate-l*`
15×	`add-sqr-sqrt`
13×	`times-frac`
10×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-r` `distribute-lft-out`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

84.0ms

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

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

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

simplify57.0ms

Counts: 38 → 38

prune101.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-l`
34×	`sqrt-prod`
33×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
25×	`times-frac`
21×	`add-cube-cbrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`distribute-lft-out`
5×	`sqrt-div`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`unswap-sqr`
2×	`*-commutative` `div-inv` `add-log-exp`
1×	`frac-times` `associate-*r/`

Counts

2 → 74

Calls

2 calls:

87.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
138.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

series289.0ms

Counts

2 → 6

Calls

2 calls:

123.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
165.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

simplify92.0ms

Counts: 80 → 80

prune318.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.3b	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
0.4b	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
16×	`associate-l`
14×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
13×	`times-frac`
8×	`pow1` `cbrt-prod`
4×	`prod-exp` `cbrt-unprod`
3×	`pow-unpow` `associate-r` `associate-*l/` `pow-exp` `distribute-lft-out` `add-log-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow1/3` `*-commutative` `rem-cbrt-cube` `div-inv`

Counts

3 → 78

Calls

3 calls:

68.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
4.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
21.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

series291.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
95.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
108.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

simplify58.0ms

Counts: 87 → 87

prune302.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

133% (-0.0b remaining)

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

bsearch0.0ms

simplify138.0ms

end0.0ms

sample5.9s

Algorithm: halfpoints