Details

sample150.0ms

Algorithm

halfpoints

Results

simplify212.0ms

Calls

1 calls:

Slowest

212.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite9.0ms

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`

Calls

2 calls:

Slowest

7.0ms	(/ (cos y) (exp x))
0.0ms	(fma (cos y) (exp x) (/ (cos y) (exp x)))

series159.0ms

Calls

2 calls:

Slowest

108.0ms	(fma (cos y) (exp x) (/ (cos y) (exp x)))
51.0ms	(/ (cos y) (exp x))

simplify645.0ms

Calls

31 calls:

Slowest

182.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
117.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
67.0ms	(- (+ (pow x 2) 2) (pow y 2))
39.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (exp x)) (cbrt (exp x))))
23.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) 1)

prune504.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(* (cbrt (cos y)) (cbrt (cos y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`pow1`
7×	`pow1/3`
6×	`associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Calls

4 calls:

Slowest

12.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series753.0ms

Calls

4 calls:

Slowest

228.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
190.0ms	(cbrt (cos y))
169.0ms	(cbrt (cos y))
165.0ms	(cbrt (cos y))

simplify966.0ms

Calls

41 calls:

Slowest

245.0ms	(- 1 (+ (* 1/72 (pow y 4)) (* 1/6 (pow y 2))))
177.0ms	(- 1 (+ (* 1/72 (pow y 4)) (* 1/6 (pow y 2))))
174.0ms	(- 1 (+ (* 1/72 (pow y 4)) (* 1/6 (pow y 2))))
166.0ms	(- 1 (+ (* 1/3 (pow y 2)) (* 1/405 (pow y 6))))
9.0ms	(pow (cos y) 1/3)

prune975.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample6.6s

Algorithm

halfpoints

Results