Details

sample62.0ms

Algorithm

intervals

Results

20.0ms	43×	body	1280	valid
15.0ms	225×	body	80	valid
12.0ms	37×	body	640	valid
5.0ms	24×	body	320	valid
1.0ms	8×	body	160	valid

simplify4.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

4.0ms

(* (exp re) (cos im))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (cos im))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-cube-cbrt`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

Slowest

24.0ms

(* (exp re) (cos im))

series58.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

58.0ms

(* (exp re) (cos im))

simplify432.0ms

Counts

13 → 24

Calls

13 calls:

Slowest

309.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
62.0ms	(+ re (+ (* 1/2 (pow re 2)) 1))
10.0ms	(* (sqrt (exp re)) (sqrt (cos im)))
9.0ms	(* (sqrt (exp re)) (sqrt (cos im)))
7.0ms	(* (cos im) (exp re))

prune234.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (* (exp re) (cos im)))
0.3b	(sqrt (* (exp re) (cos im)))
0.1b	(* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))
0.0b	(* (exp re) (cos im))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`*-un-lft-identity` `pow-prod-up` `add-cube-cbrt`
8×	`add-cbrt-cube`
7×	`associate-r` `associate-l` `add-exp-log`
6×	`pow-sqr` `sqrt-prod`
4×	`expm1-log1p-u` `swap-sqr` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 101

Calls

4 calls:

Slowest

69.0ms	(* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))
19.0ms	(* (exp re) (cos im))
17.0ms	(sqrt (* (exp re) (cos im)))
17.0ms	(sqrt (* (exp re) (cos im)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

77.0ms	(sqrt (* (exp re) (cos im)))
63.0ms	(sqrt (* (exp re) (cos im)))
54.0ms	(* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))
46.0ms	(* (exp re) (cos im))

simplify1.9s

Counts

93 → 113

Calls

93 calls:

Slowest

309.0ms	(* (* (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))) (sqrt (* (exp re) (cos im)))) (* (* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im)))) (sqrt (* (exp re) (cos im)))))
301.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
128.0ms	(* (* (cbrt (sqrt (* (exp re) (cos im)))) (cbrt (sqrt (* (exp re) (cos im))))) (* (cbrt (sqrt (* (exp re) (cos im)))) (cbrt (sqrt (* (exp re) (cos im))))))
94.0ms	(+ (* 1/2 re) (+ (* 1/8 (pow re 2)) 1))
87.0ms	(+ (* 1/2 re) (+ (* 1/8 (pow re 2)) 1))

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes159.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.2s	1453×	body	1280	valid
1.1s	6937×	body	80	valid
633.0ms	1264×	body	640	valid
267.0ms	663×	body	320	valid
64.0ms	329×	body	160	valid