Details

sample60.0ms

Algorithm

intervals

Results

20.0ms	45×	body	1280	valid
12.0ms	220×	body	80	valid
8.0ms	30×	body	640	valid
3.0ms	19×	body	320	valid
1.0ms	10×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:

11.0ms

(* (cos im) (exp re))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(* (cos im) (exp re))

simplify1.4s

Counts

21 → 21

Iterations

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

prune107.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

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)))

rewrite111.0ms

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))
104.0ms	(* (* (cbrt (exp re)) (* (cos im) (cbrt (exp re)))) (cbrt (exp re)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt (exp re))
110.0ms	(cbrt (exp re))
94.0ms	(cbrt (exp re))
51.0ms	(* (* (cbrt (exp re)) (* (cos im) (cbrt (exp re)))) (cbrt (exp re)))

simplify661.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
2	862
1	164
0	69

prune299.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

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

rewrite475.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
38×	`sqrt-prod`
33×	`pow1`
27×	`cbrt-prod`
20×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
15×	`associate-r`
14×	`sqrt-pow1` `pow-prod-down`
13×	`add-cbrt-cube`
11×	`swap-sqr` `prod-exp` `cbrt-unprod`
10×	`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 → 115

Calls

4 calls:

2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))
434.0ms	(* (* (cbrt (exp re)) (* (cos im) (* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re)))))) (cbrt (exp re)))
34.0ms	(* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))))

series422.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (exp re))
111.0ms	(cbrt (exp re))
45.0ms	(* (* (cbrt (exp re)) (* (cos im) (* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re)))))) (cbrt (exp re)))
132.0ms	(* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))))

simplify2.1s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
2	2292
1	328
0	132

prune514.0ms

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

1.0s	6944×	body	80	valid
786.0ms	1473×	body	1280	valid
377.0ms	1305×	body	640	valid
169.0ms	649×	body	320	valid
41.0ms	334×	body	160	valid