Details

sample53.0ms

Algorithm

intervals

Results

17.0ms	50×	body	1280	valid
10.0ms	224×	body	80	valid
6.0ms	30×	body	640	valid
3.0ms	26×	body	320	valid
1.0ms	11×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

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))

rewrite16.0ms

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×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

15.0ms

(* (exp re) (cos im))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(* (exp re) (cos im))

simplify2.2s

Counts

23 → 23

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	40	169
1	88	165
2	361	147
3	2568	145
done	5000	144

prune90.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

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))

rewrite115.0ms

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×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
76.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
31.0ms	(* (sqrt (exp re)) (cos im))

series111.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
38.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
46.0ms	(* (sqrt (exp re)) (cos im))

simplify740.0ms

Counts

95 → 95

Iterations

Useful iterations: done (737.0ms)

Iter	Nodes	Cost
0	81	775
1	169	716
2	704	578
done	5000	554

prune261.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
28×	`add-sqr-sqrt`
27×	`associate-l`
24×	`add-cube-cbrt` `*-un-lft-identity`
22×	`sqrt-prod`
18×	`unpow-prod-down` `cube-prod`
13×	`pow1`
12×	`add-exp-log`
10×	`add-cbrt-cube`
6×	`pow-pow`
4×	`expm1-log1p-u` `sqrt-pow1` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cube-mult` `pow-unpow` `exp-prod` `unpow3` `sqr-pow`
2×	`*-commutative` `unswap-sqr`
1×	`pow-to-exp` `pow1/2` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 128

Calls

4 calls:

68.0ms	(* (cbrt (pow (sqrt (exp re)) 3)) (* (sqrt (exp re)) (cos im)))
24.0ms	(* (sqrt (exp re)) (cos im))
5.0ms	(cbrt (pow (sqrt (exp re)) 3))
6.0ms	(pow (sqrt (exp re)) 3)

series217.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (cbrt (pow (sqrt (exp re)) 3)) (* (sqrt (exp re)) (cos im)))
85.0ms	(* (sqrt (exp re)) (cos im))
23.0ms	(cbrt (pow (sqrt (exp re)) 3))
56.0ms	(pow (sqrt (exp re)) 3)

simplify4.0s

Counts

140 → 140

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	146	1517
1	374	1159
2	2331	933
done	5000	918

prune522.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample2.4s

Algorithm

intervals

Results

998.0ms	1519×	body	1280	valid
520.0ms	7078×	body	80	valid
350.0ms	1244×	body	640	valid
85.0ms	569×	body	320	valid
31.0ms	301×	body	160	valid