Details

sample51.0ms

Algorithm

intervals

Results

15.0ms	50×	body	1280	valid
13.0ms	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

localize7.0ms

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

Counts

1 → 18

Calls

1 calls:

15.0ms

(* (exp re) (cos im))

series58.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(* (exp re) (cos im))

simplify2.5s

Counts

21 → 21

Iterations

Useful iterations: 3 (411.0ms)

Iter	Nodes	Cost
0	38	157
1	85	154
2	357	136
3	2531	134
done	5000	134

prune88.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

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))

rewrite103.0ms

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:

5.0ms	(sqrt (exp re))
6.0ms	(sqrt (exp re))
57.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
32.0ms	(* (sqrt (exp re)) (cos im))

series123.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (exp re))
17.0ms	(sqrt (exp re))
40.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
50.0ms	(* (sqrt (exp re)) (cos im))

simplify757.0ms

Counts

87 → 87

Iterations

Useful iterations: done (755.0ms)

Iter	Nodes	Cost
0	75	723
1	162	668
2	696	522
done	5001	513

prune269.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

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)

rewrite143.0ms

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×	`sqrt-pow1` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `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 → 120

Calls

4 calls:

85.0ms	(* (cbrt (pow (sqrt (exp re)) 3)) (* (sqrt (exp re)) (cos im)))
40.0ms	(* (sqrt (exp re)) (cos im))
4.0ms	(cbrt (pow (sqrt (exp re)) 3))
6.0ms	(pow (sqrt (exp re)) 3)

series191.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (cbrt (pow (sqrt (exp re)) 3)) (* (sqrt (exp re)) (cos im)))
73.0ms	(* (sqrt (exp re)) (cos im))
16.0ms	(cbrt (pow (sqrt (exp re)) 3))
42.0ms	(pow (sqrt (exp re)) 3)

simplify4.0s

Counts

132 → 132

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	138	1449
1	363	1107
2	2320	898
done	5000	890

prune474.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.6s

Algorithm

intervals

Results

923.0ms	7078×	body	80	valid
722.0ms	1519×	body	1280	valid
357.0ms	1244×	body	640	valid
95.0ms	569×	body	320	valid
74.0ms	301×	body	160	valid