Details

sample70.0ms

Algorithm

intervals

Results

22.0ms	45×	body	1280	valid
13.0ms	220×	body	80	valid
9.0ms	30×	body	640	valid
4.0ms	19×	body	320	valid
1.0ms	10×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune13.0ms

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	(* (exp re) (cos im))

rewrite22.0ms

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:

21.0ms

(* (exp re) (cos im))

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

(* (exp re) (cos im))

simplify2.6s

Counts

23 → 23

Iterations

Iter	Nodes
done	5001
3	2739
2	359
1	88
0	40

prune139.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
11×	`add-cbrt-cube` `add-exp-log`
9×	`associate-l`
8×	`sqrt-pow1`
7×	`associate-r`
6×	`exp-prod`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

5.0ms	(sqrt (exp re))
5.0ms	(sqrt (exp re))
29.0ms	(* (cos im) (sqrt (exp re)))
69.0ms	(* (sqrt (exp re)) (* (cos im) (sqrt (exp re))))

series141.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(sqrt (exp re))
19.0ms	(sqrt (exp re))
48.0ms	(* (cos im) (sqrt (exp re)))
51.0ms	(* (sqrt (exp re)) (* (cos im) (sqrt (exp re))))

simplify1.8s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
3	2919
2	597
1	181
0	85

prune489.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
22×	`cbrt-prod`
20×	`pow1`
15×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
13×	`add-cbrt-cube`
10×	`associate-l`
8×	`pow1/3` `pow-prod-down`
7×	`associate-r` `prod-exp` `cbrt-unprod`
6×	`swap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus` `sqrt-prod`

Counts

4 → 92

Calls

4 calls:

4.0ms	(cbrt (exp re))
4.0ms	(cbrt (exp re))
207.0ms	(* (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (* (cos im) (* (sqrt (exp re)) (sqrt (cbrt (exp re))))))
27.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

series468.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (exp re))
128.0ms	(cbrt (exp re))
60.0ms	(* (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (* (cos im) (* (sqrt (exp re)) (sqrt (cbrt (exp re))))))
158.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

simplify818.0ms

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1150
1	291
0	118

prune639.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes186.0ms

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

sample2.9s

Algorithm

intervals

Results

1.3s	1473×	body	1280	valid
483.0ms	6944×	body	80	valid
409.0ms	1305×	body	640	valid
129.0ms	649×	body	320	valid
90.0ms	334×	body	160	valid