Details

sample81.0ms

Algorithm

intervals

Results

31.0ms	224×	body	80	valid
24.0ms	45×	body	1280	valid
12.0ms	33×	body	640	valid
5.0ms	22×	body	320	valid
1.0ms	5×	body	160	valid

simplify5.0ms

Calls

1 calls:

Slowest

4.0ms

(* (exp re) (cos im))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `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`

Calls

1 calls:

Slowest

7.0ms

(* (exp re) (cos im))

series38.0ms

Calls

1 calls:

Slowest

38.0ms

(* (exp re) (cos im))

simplify200.0ms

Calls

11 calls:

Slowest

121.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
52.0ms	(+ re (+ (* 1/2 (pow re 2)) 1))
6.0ms	(* (exp re) (cos im))
3.0ms	(+ re (log (cos im)))
3.0ms	(* (cos im) (exp re))

prune168.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l` `sqrt-prod`
11×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative`

Calls

4 calls:

Slowest

13.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
6.0ms	(* (sqrt (exp re)) (cos im))
1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))

series106.0ms

Calls

4 calls:

Slowest

50.0ms	(* (sqrt (exp re)) (cos im))
32.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
12.0ms	(sqrt (exp re))
11.0ms	(sqrt (exp re))

simplify1.1s

Calls

43 calls:

Slowest

381.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (cos im) (cos im)) (cos im))))
265.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (cos im)) (* (sqrt (exp re)) (cos im))) (* (sqrt (exp re)) (cos im))))
95.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (cos im) (cos im)) (cos im)))
80.0ms	(+ (* 1/2 re) (+ (* 1/8 (pow re 2)) 1))
58.0ms	(+ re (+ (* 1/2 (pow re 2)) 1))

prune713.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im))))
0.2b	(* (* (exp re) (cos im)) (* (exp re) (cos im)))
0.1b	(* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im)))
0.0b	(* (exp re) (cos im))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

140×	`pow1`
67×	`pow-prod-down`
59×	`add-cbrt-cube`
41×	`add-exp-log`
40×	`prod-exp` `cbrt-unprod`
30×	`pow-prod-up`
15×	`pow-plus`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`pow2` `insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`pow3`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Calls

4 calls:

Slowest

55.0ms	(* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im)))
32.0ms	(cbrt (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im))))
18.0ms	(* (* (exp re) (cos im)) (* (exp re) (cos im)))
4.0ms	(* (exp re) (cos im))

series192.0ms

Calls

4 calls:

Slowest

63.0ms	(* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im)))
62.0ms	(* (* (exp re) (cos im)) (* (exp re) (cos im)))
35.0ms	(cbrt (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im))))
33.0ms	(* (exp re) (cos im))

simplify8.3s

Calls

114 calls:

Slowest

871.0ms	(* (* (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (* (exp re) (cos im)) (* (exp re) (cos im)))) (* (* (exp re) (cos im)) (* (exp re) (cos im)))) (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im))))
796.0ms	(* (* (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im))) (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im)))) (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im))))
607.0ms	(* (* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im))) (* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im))))
518.0ms	(* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im)))
283.0ms	(* (* (* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (* (exp re) (cos im)) (* (exp re) (cos im)))) (* (* (exp re) (cos im)) (* (exp re) (cos im)))) (* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im))))

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes215.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.6s	1522×	body	1280	valid
680.0ms	1258×	body	640	valid
651.0ms	6896×	body	80	valid
213.0ms	631×	body	320	valid
63.0ms	317×	body	160	valid