Details

sample47.0ms

Algorithm

intervals

Results

13.0ms	41×	body	1280	valid
10.0ms	238×	body	80	valid
8.0ms	36×	body	640	valid
3.0ms	18×	body	320	valid
1.0ms	5×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
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:

16.0ms

(* (exp re) (cos im))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* (exp re) (cos im))

simplify2.6s

Counts

23 → 23

Iterations

Useful iterations: 4 (527.0ms)

Iter	Nodes	Cost
0	40	169
1	82	164
2	210	145
3	350	145
4	490	144
5	868	144
6	2183	144
done	5000	144

prune59.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`expm1-log1p-u` `associate-r` `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:

50.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
21.0ms	(* (sqrt (exp re)) (cos im))
3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))

series113.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
46.0ms	(* (sqrt (exp re)) (cos im))
13.0ms	(sqrt (exp re))
14.0ms	(sqrt (exp re))

simplify4.5s

Counts

95 → 95

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	81	775
1	159	616
2	451	560
3	886	554
4	1213	547
5	2682	547
done	5001	547

prune260.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
26×	`cbrt-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1`
12×	`associate-l`
9×	`associate-r`
8×	`add-exp-log` `pow1/3`
6×	`swap-sqr` `unswap-sqr`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down`
2×	`prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod`
1×	`pow2` `pow-plus`

Counts

4 → 92

Calls

4 calls:

3.0ms	(cbrt (exp re))
3.0ms	(cbrt (exp re))
19.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
19.0ms	(* (cbrt (exp re)) (cos im))

series391.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt (exp re))
100.0ms	(cbrt (exp re))
130.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
75.0ms	(* (cbrt (exp re)) (cos im))

simplify2.9s

Counts

104 → 104

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	92	855
1	170	784
2	409	730
3	963	681
4	2628	630
done	5000	612

prune321.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

3.0ms	(cbrt (cbrt (exp re)))
3.0ms	(cbrt (cbrt (exp re)))
73.0ms	(* (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (* (cbrt (cbrt (exp re))) (cos im)))
39.0ms	(* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re))))

series427.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(cbrt (cbrt (exp re)))
103.0ms	(cbrt (cbrt (exp re)))
92.0ms	(* (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (* (cbrt (cbrt (exp re))) (cos im)))
127.0ms	(* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re))))

simplify3.4s

Counts

124 → 124

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	120	1620
1	235	1516
2	729	1208
3	2320	1039
done	5000	966

prune444.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	9	10
done	9	10

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.3s	1510×	body	1280	valid
535.0ms	6987×	body	80	valid
334.0ms	1232×	body	640	valid
117.0ms	655×	body	320	valid
32.0ms	261×	body	160	valid