Details

sample182.0ms

Algorithm

halfpoints

Results

simplify605.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

605.0ms

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

prune10.0ms

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)))

rewrite12.0ms

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

10.0ms	(/ (cos y) (exp x))
0.0ms	(fma (cos y) (exp x) (/ (cos y) (exp x)))

series132.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

79.0ms	(fma (cos y) (exp x) (/ (cos y) (exp x)))
53.0ms	(/ (cos y) (exp x))

simplify806.0ms

Counts

31 → 47

Calls

31 calls:

Slowest

303.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
131.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
74.0ms	(- (+ (pow x 2) 2) (pow y 2))
64.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (exp x)) (cbrt (exp x))))
29.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) (sqrt (exp x)))

prune527.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

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

28.0ms	(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))
14.0ms	(/ (cos y) (sqrt (exp x)))
2.0ms	(sqrt (exp x))
2.0ms	(sqrt (exp x))

series137.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

64.0ms	(/ (cos y) (sqrt (exp x)))
39.0ms	(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))
20.0ms	(sqrt (exp x))
13.0ms	(sqrt (exp x))

simplify11.9s

Counts

370 → 270

Calls

370 calls:

Slowest

481.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
376.0ms	(/ (/ (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x)))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
251.0ms	(/ (* (* (/ (cos y) (sqrt (exp x))) (/ (cos y) (sqrt (exp x)))) (/ (cos y) (sqrt (exp x)))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
244.0ms	(- 1 (+ (* 1/2 (pow y 2)) (* 1/2 x)))
181.0ms	(/ (/ (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x))))) (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))))

prune3.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (/ (cos y) (exp x))))
0.3b	(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
0.2b	(* (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (/ (cos y) (exp x)))
0.0b	(/ (cos y) (exp x))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
59×	`times-frac` `add-cbrt-cube`
47×	`*-un-lft-identity` `add-cube-cbrt`
41×	`add-exp-log`
30×	`pow1`
26×	`associate-r`
22×	`prod-exp` `cbrt-unprod`
18×	`cbrt-undiv` `div-exp`
14×	`associate-l`
13×	`swap-sqr`
11×	`frac-times` `associate-*l/`
7×	`cbrt-div` `pow-plus` `associate-*r/` `pow-prod-up`
6×	`div-inv` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `associate-/r` `pow-sqr` `associate-/l`
2×	`pow3` `*-commutative`
1×	`cbrt-prod` `clear-num` `frac-2neg` `pow1/3` `rem-cbrt-cube`

Counts

4 → 185

Calls

4 calls:

Slowest

110.0ms	(* (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (/ (cos y) (exp x)))
67.0ms	(cbrt (* (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (/ (cos y) (exp x))))
43.0ms	(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
10.0ms	(/ (cos y) (exp x))

series191.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

59.0ms	(* (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (/ (cos y) (exp x)))
50.0ms	(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
44.0ms	(/ (cos y) (exp x))
39.0ms	(cbrt (* (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (/ (cos y) (exp x))))

simplify14.0s

Counts

186 → 197

Calls

186 calls:

Slowest

529.0ms	(* (* (* (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (* (/ (cos y) (exp x)) (/ (cos y) (exp x)))) (* (/ (cos y) (exp x)) (/ (cos y) (exp x)))) (* (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (/ (cos y) (exp x))))
498.0ms	(+ (+ (- (log (cos y)) x) (log (/ (cos y) (exp x)))) (log (/ (cos y) (exp x))))
485.0ms	(+ (+ (- (log (cos y)) x) (log (/ (cos y) (exp x)))) (- (log (cos y)) x))
480.0ms	(* (* (* (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (/ (cos y) (exp x))) (* (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (/ (cos y) (exp x)))) (* (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (/ (cos y) (exp x))))
464.0ms	(+ (+ (log (/ (cos y) (exp x))) (- (log (cos y)) x)) (log (/ (cos y) (exp x))))

prune2.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample5.5s

Algorithm

halfpoints

Results