Details

sample79.0ms

Algorithm

intervals

Results

26.0ms	45×	body	1280	valid
15.0ms	220×	body	80	valid
10.0ms	30×	body	640	valid
4.0ms	19×	body	320	valid
1.0ms	10×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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×	`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:

12.0ms

(* (cos im) (exp re))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* (cos im) (exp re))

simplify2.4s

Counts

23 → 23

Iterations

Iter	Nodes
done	5001
3	2195
2	322
1	86
0	39

prune128.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 65

Calls

4 calls:

3.0ms	(cbrt (exp re))
3.0ms	(cbrt (exp re))
3.0ms	(cbrt (exp re))
126.0ms	(* (* (cbrt (exp re)) (* (cbrt (exp re)) (cos im))) (cbrt (exp re)))

series439.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (exp re))
118.0ms	(cbrt (exp re))
127.0ms	(cbrt (exp re))
65.0ms	(* (* (cbrt (exp re)) (* (cbrt (exp re)) (cos im))) (cbrt (exp re)))

simplify602.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	814
1	176
0	73

prune409.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite648.0ms

Algorithm

rewrite-expression-head

Rules

50×	`sqrt-prod`
48×	`add-sqr-sqrt`
35×	`pow1`
29×	`cbrt-prod`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-exp-log`
18×	`sqrt-pow1`
15×	`associate-r`
14×	`pow-prod-down`
13×	`add-cbrt-cube`
11×	`swap-sqr` `prod-exp` `cbrt-unprod`
10×	`pow1/2` `associate-l`
9×	`unswap-sqr`
8×	`pow1/3`
6×	`pow-prod-up`
4×	`expm1-log1p-u` `rem-sqrt-square` `pow-sqr` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 137

Calls

4 calls:

5.0ms	(sqrt (cbrt (exp re)))
4.0ms	(sqrt (cbrt (exp re)))
600.0ms	(* (* (cbrt (exp re)) (* (* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re)))) (cos im))) (cbrt (exp re)))
30.0ms	(* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))))

series472.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(sqrt (cbrt (exp re)))
124.0ms	(sqrt (cbrt (exp re)))
73.0ms	(* (* (cbrt (exp re)) (* (* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re)))) (cos im))) (cbrt (exp re)))
122.0ms	(* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))))

simplify2.3s

Counts

149 → 149

Iterations

Iter	Nodes
done	5001
2	2334
1	351
0	144

prune651.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes190.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample2.8s

Algorithm

intervals

Results

899.0ms	1473×	body	1280	valid
886.0ms	6944×	body	80	valid
441.0ms	1305×	body	640	valid
162.0ms	649×	body	320	valid
46.0ms	334×	body	160	valid