Details

sample67.0ms

Algorithm

intervals

Results

23.0ms	46×	body	1280	valid
14.0ms	237×	body	80	valid
9.0ms	31×	body	640	valid
4.0ms	23×	body	320	valid
1.0ms	6×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune17.0ms

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

Counts

1 → 18

Calls

1 calls:

21.0ms

(* (exp re) (cos im))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(* (exp re) (cos im))

simplify5.4s

Counts

21 → 21

Iterations

Iter	Nodes
done	5003
5	4967
4	1465
3	622
2	211
1	85
0	38

prune135.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
12×	`associate-l`
11×	`add-cbrt-cube` `add-exp-log`
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:

23.0ms	(* (sqrt (exp re)) (cos im))
4.0ms	(sqrt (exp re))
4.0ms	(sqrt (exp re))
73.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (sqrt (exp re)) (cos im))
16.0ms	(sqrt (exp re))
23.0ms	(sqrt (exp re))
66.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

simplify2.8s

Counts

87 → 87

Iterations

Iter	Nodes
done	5014
4	3231
3	1236
2	430
1	161
0	75

prune426.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp re))
0.0b	(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (cos im)))
0.0b	(* (cbrt (exp re)) (cbrt (exp re)))
0.3b	(sqrt (cbrt (exp re)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`cbrt-prod`
18×	`*-un-lft-identity` `add-cube-cbrt`
17×	`pow1`
15×	`associate-l`
12×	`sqrt-prod`
11×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1/3`
7×	`associate-r`
6×	`swap-sqr`
5×	`pow-prod-down`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus` `pow1/2`

Counts

4 → 93

Calls

4 calls:

3.0ms	(cbrt (exp re))
61.0ms	(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (cos im)))
25.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
4.0ms	(sqrt (cbrt (exp re)))

series482.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(cbrt (exp re))
124.0ms	(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (cos im)))
134.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
125.0ms	(sqrt (cbrt (exp re)))

simplify1.7s

Counts

105 → 105

Iterations

Iter	Nodes
done	5009
3	1927
2	615
1	249
0	113

prune725.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp re))
0.0b	(cbrt (exp (+ re re)))
0.0b	(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (cos im)))
0.3b	(sqrt (cbrt (exp re)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
13×	`add-sqr-sqrt`
12×	`sqrt-prod`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1`
9×	`add-cbrt-cube` `associate-l` `add-exp-log`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `sqrt-pow1`
1×	`pow1/2` `associate-r` `exp-sum` `*-commutative`

Counts

4 → 65

Calls

4 calls:

3.0ms	(cbrt (exp re))
25.0ms	(cbrt (exp (+ re re)))
45.0ms	(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (cos im)))
4.0ms	(sqrt (cbrt (exp re)))

series436.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (exp re))
119.0ms	(cbrt (exp (+ re re)))
106.0ms	(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (cos im)))
114.0ms	(sqrt (cbrt (exp re)))

simplify1.6s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
3	1655
2	525
1	205
0	100

prune489.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes173.0ms

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

sample2.7s

Algorithm

intervals

Results

809.0ms	1513×	body	1280	valid
605.0ms	640×	body	320	valid
507.0ms	6962×	body	80	valid
386.0ms	1241×	body	640	valid
80.0ms	335×	body	160	valid