Details

sample69.0ms

Algorithm

intervals

Results

23.0ms	43×	body	1280	valid
17.0ms	225×	body	80	valid
13.0ms	37×	body	640	valid
5.0ms	24×	body	320	valid
2.0ms	8×	body	160	valid

simplify4.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

4.0ms

(* (exp re) (cos im))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite51.0ms

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×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

Slowest

51.0ms

(* (exp re) (cos im))

series42.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

42.0ms

(* (exp re) (cos im))

simplify396.0ms

Counts

13 → 22

Calls

13 calls:

Slowest

277.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
68.0ms	(+ re (+ (* 1/2 (pow re 2)) 1))
8.0ms	(* (sqrt (exp re)) (sqrt (cos im)))
7.0ms	(* (sqrt (exp re)) (sqrt (cos im)))
7.0ms	(* (cos im) (exp re))

prune156.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

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))

rewrite117.0ms

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×	`swap-sqr` `insert-posit16` `add-log-exp`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 93

Calls

4 calls:

Slowest

81.0ms	(* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))
22.0ms	(* (exp re) (cos im))
6.0ms	(sqrt (* (exp re) (cos im)))
6.0ms	(sqrt (* (exp re) (cos im)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

89.0ms	(sqrt (* (exp re) (cos im)))
87.0ms	(sqrt (* (exp re) (cos im)))
61.0ms	(* (sqrt (* (exp re) (cos im))) (sqrt (* (exp re) (cos im))))
51.0ms	(* (exp re) (cos im))

simplify1.7s

Counts

93 → 105

Calls

93 calls:

Slowest

338.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
294.0ms	(* (* (* (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)))))
115.0ms	(* (* (cbrt (sqrt (* (exp re) (cos im)))) (cbrt (sqrt (* (exp re) (cos im))))) (* (cbrt (sqrt (* (exp re) (cos im)))) (cbrt (sqrt (* (exp re) (cos im))))))
73.0ms	(+ (* 1/2 re) (+ (* 1/8 (pow re 2)) 1))
55.0ms	(+ re (+ (* 1/2 (pow re 2)) 1))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.8s	1453×	body	1280	valid
723.0ms	6937×	body	80	valid
594.0ms	1264×	body	640	valid
257.0ms	663×	body	320	valid
69.0ms	329×	body	160	valid