Details

sample50.0ms

Algorithm

intervals

Results

16.0ms	55×	body	1280	valid
9.0ms	232×	body	80	valid
8.0ms	46×	body	640	valid
3.0ms	23×	body	320	valid
1.0ms	12×	body	160	valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

14.0ms

(* (exp re) (cos im))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* (exp re) (cos im))

simplify131.0ms

Counts: 21 → 21

prune42.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

49.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
17.0ms	(* (sqrt (exp re)) (cos im))

series108.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
13.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
48.0ms	(* (sqrt (exp re)) (cos im))

simplify50.0ms

Counts: 87 → 87

prune187.0ms

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

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
40×	`cbrt-prod`
26×	`sqrt-prod`
22×	`pow1`
21×	`add-cube-cbrt` `*-un-lft-identity`
15×	`add-exp-log`
12×	`associate-r`
11×	`swap-sqr`
10×	`associate-l`
9×	`add-cbrt-cube` `unswap-sqr`
8×	`sqrt-pow1` `pow-prod-down`
7×	`prod-exp` `cbrt-unprod`
6×	`exp-prod` `pow1/3`
4×	`add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 109

Calls

4 calls:

3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
130.0ms	(* (* (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (cbrt (sqrt (exp re)))) (cos im))
24.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))

series159.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
46.0ms	(* (* (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (cbrt (sqrt (exp re)))) (cos im))
82.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))

simplify38.0ms

Counts: 121 → 121

prune316.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (cos im))
0.2b	(pow (* (exp re) (cos im)) 3)
0.4b	(cbrt (pow (* (exp re) (cos im)) 3))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`pow1` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
3×	`pow-unpow` `associate-r` `associate-l` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

14.0ms	(* (exp re) (cos im))
15.0ms	(pow (* (exp re) (cos im)) 3)
4.0ms	(cbrt (pow (* (exp re) (cos im)) 3))

series130.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* (exp re) (cos im))
59.0ms	(pow (* (exp re) (cos im)) 3)
36.0ms	(cbrt (pow (* (exp re) (cos im)) 3))

simplify236.0ms

Counts: 66 → 66

prune134.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

Algorithm

intervals

Results

808.0ms	1550×	body	1280	valid
412.0ms	6974×	body	80	valid
321.0ms	1247×	body	640	valid
77.0ms	617×	body	320	valid
27.0ms	323×	body	160	valid