Details

sample609.0ms

Algorithm

halfpoints

Results

simplify217.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

217.0ms

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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

9.0ms	(/ (cos y) (exp x))
0.0ms	(fma (cos y) (exp x) (/ (cos y) (exp x)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

77.0ms	(fma (cos y) (exp x) (/ (cos y) (exp x)))
39.0ms	(/ (cos y) (exp x))

simplify870.0ms

Counts

31 → 47

Calls

31 calls:

Slowest

393.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
116.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
53.0ms	(- (+ (pow x 2) 2) (pow y 2))
44.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (exp x)) (cbrt (exp x))))
32.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) (sqrt (exp x)))

prune565.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
162×	`add-sqr-sqrt`
160×	`*-un-lft-identity` `add-cube-cbrt`
150×	`sqrt-prod`
25×	`associate-/l*`
12×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
9×	`div-inv`
8×	`sqrt-pow1`
6×	`pow1` `exp-prod`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `pow1/2`
1×	`associate-/l/`

Counts

4 → 258

Calls

4 calls:

Slowest

38.0ms	(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))
20.0ms	(/ (cos y) (sqrt (exp x)))
5.0ms	(sqrt (exp x))
5.0ms	(sqrt (exp x))

series145.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

68.0ms	(/ (cos y) (sqrt (exp x)))
34.0ms	(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))
25.0ms	(sqrt (exp x))
17.0ms	(sqrt (exp x))

simplify11.3s

Counts

370 → 270

Calls

370 calls:

Slowest

486.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
318.0ms	(/ (/ (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x)))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
304.0ms	(/ (* (* (/ (cos y) (sqrt (exp x))) (/ (cos y) (sqrt (exp x)))) (/ (cos y) (sqrt (exp x)))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
241.0ms	(- 1 (+ (* 1/2 (pow y 2)) (* 1/2 x)))
192.0ms	(/ (/ (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x))))) (sqrt (sqrt (exp x))))

prune3.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample4.7s

Algorithm

halfpoints

Results