Details

sample43.0ms

Algorithm

intervals

Results

16.0ms	47×	body	1280	valid
9.0ms	235×	body	80	valid
6.0ms	35×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	10×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

6.0ms

(* (exp re) (sin im))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* (exp re) (sin im))

simplify4.7s

Counts

23 → 23

Iterations

Useful iterations: 3 (135.0ms)

Iter	Nodes	Cost
0	42	173
1	91	167
2	285	148
3	927	146
4	3743	146
done	5000	146

prune57.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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:

1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))
10.0ms	(* (sqrt (exp re)) (sin im))
21.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series112.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))
50.0ms	(* (sqrt (exp re)) (sin im))
38.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify1.1s

Counts

95 → 95

Iterations

Useful iterations: 3 (247.0ms)

Iter	Nodes	Cost
0	87	783
1	191	622
2	606	565
3	1929	556
done	5000	556

prune223.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

1.0ms	(cbrt (exp re))
23.0ms	(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im)))
65.0ms	(* (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im))))
7.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(cbrt (exp re))
90.0ms	(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im)))
38.0ms	(* (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im))))
95.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

simplify526.0ms

Counts

117 → 117

Iterations

Useful iterations: done (524.0ms)

Iter	Nodes	Cost
0	140	1624
1	320	1333
2	1167	1187
done	5000	1182

prune343.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
33×	`cbrt-prod`
32×	`pow1`
22×	`add-exp-log`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-cbrt-cube`
16×	`associate-l`
14×	`pow-prod-down`
13×	`pow1/3` `associate-r`
12×	`swap-sqr` `prod-exp` `cbrt-unprod`
8×	`unswap-sqr`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow2` `pow-plus`
1×	`sqrt-prod`

Counts

4 → 122

Calls

4 calls:

176.0ms	(* (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (* (sqrt (cbrt (* (cbrt (exp re)) (cbrt (exp re))))) (* (sqrt (cbrt (cbrt (exp re)))) (* (sqrt (exp re)) (sin im)))))
3.0ms	(cbrt (* (cbrt (exp re)) (cbrt (exp re))))
7.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
7.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

series330.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (* (sqrt (cbrt (* (cbrt (exp re)) (cbrt (exp re))))) (* (sqrt (cbrt (cbrt (exp re)))) (* (sqrt (exp re)) (sin im)))))
97.0ms	(cbrt (* (cbrt (exp re)) (cbrt (exp re))))
96.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
98.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

simplify552.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	142	2212
1	341	1812
2	1386	1591
done	5000	1591

prune466.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes131.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.4s

Algorithm

intervals

Results

457.0ms	1512×	body	1280	valid
445.0ms	6942×	body	80	valid
216.0ms	1235×	body	640	valid
75.0ms	596×	body	320	valid
29.0ms	365×	body	160	valid