Details

sample68.0ms

Algorithm

intervals

Results

20.0ms	39×	body	1280	valid
13.0ms	219×	body	80	valid
11.0ms	39×	body	640	valid
4.0ms	21×	body	320	valid
1.0ms	10×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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:

18.0ms

(* (exp re) (cos im))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* (exp re) (cos im))

simplify2.6s

Counts

21 → 21

Iterations

Useful iterations: 3 (453.0ms)

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

prune65.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

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:

3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
29.0ms	(* (sqrt (exp re)) (cos im))
70.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

series132.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt (exp re))
21.0ms	(sqrt (exp re))
52.0ms	(* (sqrt (exp re)) (cos im))
41.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

simplify849.0ms

Counts

87 → 87

Iterations

Useful iterations: done (846.0ms)

Iter	Nodes	Cost
0	75	723
1	161	668
2	680	540
done	5000	513

prune278.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

3.0ms	(cbrt (sqrt (exp re)))
4.0ms	(cbrt (sqrt (exp re)))
5.0ms	(cbrt (sqrt (exp re)))
26.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))

series428.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (sqrt (exp re)))
107.0ms	(cbrt (sqrt (exp re)))
111.0ms	(cbrt (sqrt (exp re)))
104.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))

simplify3.0s

Counts

110 → 110

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	74	1190
1	143	1071
2	487	1013
3	2763	936
done	5000	856

prune392.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (cbrt (exp re)))
0.0b	(cbrt (exp re))
0.0b	(cbrt (exp re))
0.0b	(cbrt (exp re))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 47

Calls

4 calls:

2.0ms	(cbrt (cbrt (exp re)))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))

series452.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt (cbrt (exp re)))
116.0ms	(cbrt (exp re))
117.0ms	(cbrt (exp re))
108.0ms	(cbrt (exp re))

simplify2.1s

Counts

59 → 59

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	42	383
1	66	377
2	131	351
3	318	325
4	978	321
5	3574	321
done	5000	313

prune249.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes110.0ms

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

sample2.7s

Algorithm

intervals

Results

783.0ms	1292×	body	640	valid
768.0ms	1504×	body	1280	valid
590.0ms	6894×	body	80	valid
108.0ms	603×	body	320	valid
37.0ms	310×	body	160	valid