Details

sample63.0ms

Algorithm

intervals

Results

20.0ms	45×	body	1280	valid
12.0ms	220×	body	80	valid
8.0ms	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

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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

Counts

1 → 18

Calls

1 calls:

16.0ms

(* (cos im) (exp re))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* (cos im) (exp re))

simplify1.2s

Counts

21 → 21

Iterations

Iter	Nodes
done	5000
3	1966
2	324
1	84
0	37

prune72.0ms

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

rewrite85.0ms

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×	`add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 57

Calls

4 calls:

2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))
78.0ms	(* (* (cbrt (exp re)) (* (cos im) (cbrt (exp re)))) (cbrt (exp re)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(cbrt (exp re))
124.0ms	(cbrt (exp re))
93.0ms	(cbrt (exp re))
41.0ms	(* (* (cbrt (exp re)) (* (cos im) (cbrt (exp re)))) (cbrt (exp re)))

simplify725.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
2	862
1	164
0	69

prune351.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt` `pow1`
38×	`sqrt-prod`
27×	`add-exp-log`
24×	`cbrt-prod`
21×	`add-cbrt-cube`
19×	`pow-prod-down`
18×	`*-un-lft-identity` `add-cube-cbrt`
16×	`prod-exp` `cbrt-unprod`
14×	`sqrt-pow1`
11×	`swap-sqr`
10×	`associate-r` `associate-l`
9×	`unswap-sqr`
8×	`pow1/2` `pow1/3`
6×	`pow-prod-up`
4×	`pow-sqr` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 116

Calls

4 calls:

2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))
129.0ms	(* (* (cbrt (exp re)) (* (cos im) (cbrt (exp re)))) (* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re)))))
27.0ms	(* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))))

series347.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt (exp re))
91.0ms	(cbrt (exp re))
47.0ms	(* (* (cbrt (exp re)) (* (cos im) (cbrt (exp re)))) (* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re)))))
124.0ms	(* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))))

simplify2.2s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	2155
1	321
0	127

prune498.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes198.0ms

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

sample3.0s

Algorithm

intervals

Results

1.3s	1473×	body	1280	valid
584.0ms	6944×	body	80	valid
523.0ms	1305×	body	640	valid
215.0ms	649×	body	320	valid
43.0ms	334×	body	160	valid