Details

sample170.0ms

Algorithm

halfpoints

Results

simplify202.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

202.0ms

(re (complex (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))))

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `insert-posit16` `associate-/l`
2×	`div-inv`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

Slowest

22.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
17.0ms	(* (cos y) (exp x))
10.0ms	(/ (cos y) (exp x))

series191.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

90.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
68.0ms	(/ (cos y) (exp x))
32.0ms	(* (cos y) (exp x))

simplify1.6s

Counts

47 → 69

Calls

47 calls:

Slowest

381.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
340.0ms	(* (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
212.0ms	(* (exp (/ (cos y) (exp x))) (exp (* (cos y) (exp x))))
125.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
81.0ms	(- (+ (pow x 2) 2) (pow y 2))

prune640.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

17.9b	(- (exp x) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.0b	(+ (exp x) (exp (- x)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
23×	`add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

4 → 103

Calls

4 calls:

Slowest

45.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
45.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
17.0ms	(- (exp x) (exp (- x)))
9.0ms	(+ (exp x) (exp (- x)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

107.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
82.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
61.0ms	(- (exp x) (exp (- x)))
30.0ms	(+ (exp x) (exp (- x)))

simplify5.3s

Counts

77 → 115

Calls

77 calls:

Slowest

951.0ms	(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
435.0ms	(* (* (* (/ (+ (exp x) (exp (- x))) 2) (/ (+ (exp x) (exp (- x))) 2)) (/ (+ (exp x) (exp (- x))) 2)) (* (* (cos y) (cos y)) (cos y)))
287.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
239.0ms	(* 1/2 (* (+ (exp (* -1 x)) (exp x)) (cos y)))
210.0ms	(* (/ (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (* (* 2 2) 2)) (* (* (cos y) (cos y)) (cos y)))

prune1.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

17.9b	(- (exp x) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(+ (exp x) (exp (- x)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
19×	`associate-l`
16×	`times-frac`
14×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`insert-posit16` `distribute-lft-out--` `difference-of-squares`
3×	`associate-r`
2×	`+-commutative` `sum-log` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `flip--`

Counts

4 → 80

Calls

4 calls:

Slowest

64.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
24.0ms	(- (exp x) (exp (- x)))
9.0ms	(+ (exp x) (exp (- x)))
9.0ms	(+ (exp x) (exp (- x)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

139.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
43.0ms	(- (exp x) (exp (- x)))
31.0ms	(+ (exp x) (exp (- x)))
27.0ms	(+ (exp x) (exp (- x)))

simplify3.8s

Counts

51 → 92

Calls

51 calls:

Slowest

802.0ms	(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
639.0ms	(* 1/2 (* (- (exp x) (exp (- x))) (sin y)))
314.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
225.0ms	(* 1/2 (* (- (exp x) (exp (* -1 x))) (sin y)))
127.0ms	(* (/ (* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x)))) (* (* 2 2) 2)) (* (* (sin y) (sin y)) (sin y)))

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample4.7s

Algorithm

halfpoints

Results