Details

sample249.0ms

Algorithm

halfpoints

Results

simplify212.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

211.0ms

(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

localize59.0ms

Local error

Found 3 expressions with local error:

17.5b	(- (exp x) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))

rewrite131.0ms

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

52.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
48.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
29.0ms	(- (exp x) (exp (- x)))

series304.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

150.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
89.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
65.0ms	(- (exp x) (exp (- x)))

simplify7.5s

Counts

92 → 117

Calls

92 calls:

Slowest

854.0ms	(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
560.0ms	(* (* (* (/ (+ (exp x) (exp (- x))) 2) (/ (+ (exp x) (exp (- x))) 2)) (/ (+ (exp x) (exp (- x))) 2)) (* (* (cos y) (cos y)) (cos y)))
360.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
271.0ms	(* 1/2 (* (+ (exp (* -1 x)) (exp x)) (cos y)))
249.0ms	(* 1/2 (* (- (exp x) (exp (* -1 x))) (sin y)))

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

Slowest

16.0ms	(/ (cos y) (exp x))
0.0ms	(fma (cos y) (exp x) (/ (cos y) (exp x)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

104.0ms	(fma (cos y) (exp x) (/ (cos y) (exp x)))
57.0ms	(/ (cos y) (exp x))

simplify1.0s

Counts

31 → 47

Calls

31 calls:

Slowest

498.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
184.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
67.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (exp x)) (cbrt (exp x))))
56.0ms	(- (+ (pow x 2) 2) (pow y 2))
22.0ms	(/ (sqrt (cos y)) (* (cbrt (exp x)) (cbrt (exp x))))

prune445.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample6.8s

Algorithm

halfpoints

Results