Details

sample109.0ms

Algorithm

intervals

Results

33.0ms	40×	body	1280	valid
26.0ms	51×	body	640	valid
22.0ms	218×	body	80	valid
10.0ms	24×	body	320	valid
2.0ms	10×	body	160	valid

simplify8.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

8.0ms

(* (exp re) (cos im))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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

26.0ms

(* (exp re) (cos im))

series51.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

51.0ms

(* (exp re) (cos im))

simplify564.0ms

Counts

13 → 22

Calls

13 calls:

Slowest

434.0ms	(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
70.0ms	(+ re (+ (* 1/2 (pow re 2)) 1))
11.0ms	(* (sqrt (exp re)) (sqrt (cos im)))
11.0ms	(* (sqrt (exp re)) (sqrt (cos im)))
6.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

prune186.0ms

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

Slowest

56.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
18.0ms	(* (sqrt (exp re)) (cos im))
4.0ms	(sqrt (exp re))
4.0ms	(sqrt (exp re))

series138.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

62.0ms	(* (sqrt (exp re)) (cos im))
47.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
16.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))

simplify1.6s

Counts

55 → 91

Calls

55 calls:

Slowest

327.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (cos im) (cos im)) (cos im)))
312.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (cos im)) (* (sqrt (exp re)) (cos im))) (* (sqrt (exp re)) (cos im))))
272.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (cos im) (cos im)) (cos im))))
90.0ms	(+ (* 1/2 re) (+ (* 1/8 (pow re 2)) 1))
89.0ms	(+ re (+ (* 1/2 (pow re 2)) 1))

prune870.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(* (pow E (/ re 2)) (* (sqrt (exp re)) (cos im)))
0.0b	(* (sqrt (exp re)) (cos im))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
15×	`add-sqr-sqrt`
13×	`associate-l` `prod-exp`
10×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
7×	`sqrt-prod`
6×	`pow1`
4×	`sqrt-pow1` `associate-r` `pow-exp` `cbrt-unprod`
3×	`exp-prod` `unpow-prod-down` `insert-posit16` `add-log-exp`
2×	`pow-to-exp` `e-exp-1` `*-commutative` `unswap-sqr`
1×	`rem-sqrt-square` `pow1/2` `pow-prod-down` `sqr-pow`

Counts

3 → 67

Calls

3 calls:

Slowest

60.0ms	(* (pow E (/ re 2)) (* (sqrt (exp re)) (cos im)))
14.0ms	(* (sqrt (exp re)) (cos im))
5.0ms	(sqrt (exp re))

series167.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

88.0ms	(* (pow E (/ re 2)) (* (sqrt (exp re)) (cos im)))
59.0ms	(* (sqrt (exp re)) (cos im))
20.0ms	(sqrt (exp re))

simplify3.3s

Counts

49 → 76

Calls

49 calls:

Slowest

459.0ms	(* (* (cos im) (exp (* 1/2 re))) (sqrt (exp re)))
452.0ms	(* (* (cos im) (exp (* 1/2 re))) (sqrt (exp re)))
324.0ms	(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (cos im) (cos im)) (cos im)))
265.0ms	(* (cbrt (pow E (/ re 2))) (cbrt (pow E (/ re 2))))
245.0ms	(+ (log (pow E (/ re 2))) (+ (log (sqrt (exp re))) (log (cos im))))

prune846.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.3s	6930×	body	80	valid
1.1s	1501×	body	1280	valid
593.0ms	1269×	body	640	valid
169.0ms	593×	body	320	valid
61.0ms	303×	body	160	valid