Details

sample166.0ms

Algorithm

halfpoints

Results

simplify256.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

256.0ms

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

Slowest

19.0ms

(/ (cos y) (exp x))

series42.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

42.0ms

(/ (cos y) (exp x))

simplify1.2s

Counts

43 → 33

Calls

43 calls:

Slowest

429.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
191.0ms	(* (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (/ (cos y) (exp x)))
123.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
40.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (exp x)) (cbrt (exp x))))
31.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) 1)

prune335.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 3 expressions with local error:

15.2b	(- (exp x) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
9×	`prod-diff`
7×	`pow1`
6×	`associate-r`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`expm1-log1p-u` `fma-neg` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 108

Calls

3 calls:

Slowest

75.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
74.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
12.0ms	(- (exp x) (exp (- x)))

series252.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

118.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
84.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
51.0ms	(- (exp x) (exp (- x)))

simplify16.2s

Counts

131 → 117

Calls

131 calls:

Slowest

1.1s	(* (* (* (/ (- (exp x) (exp (- x))) 2) (sin y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))) (* (/ (- (exp x) (exp (- x))) 2) (sin y)))
911.0ms	(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
501.0ms	(* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x))))
464.0ms	(* (* (* (/ (+ (exp x) (exp (- x))) 2) (/ (+ (exp x) (exp (- x))) 2)) (/ (+ (exp x) (exp (- x))) 2)) (* (* (cos y) (cos y)) (cos y)))
441.0ms	(* (* (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2) (cos y))) (* (/ (+ (exp x) (exp (- x))) 2) (cos y)))

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample6.9s

Algorithm

halfpoints

Results