Details

sample103.0ms

Algorithm

intervals

Results

33.0ms	48×	body	1280	valid
20.0ms	49×	body	640	valid
18.0ms	220×	body	80	valid
7.0ms	26×	body	320	valid
2.0ms	13×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

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:

34.0ms

(* (exp re) (sin im))

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

(* (exp re) (sin im))

simplify4.5s

Counts

23 → 23

Iterations

Iter	Nodes
done	5001
4	1799
3	725
2	240
1	97
0	42

prune159.0ms

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	(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)))

rewrite146.0ms

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:

5.0ms	(sqrt (exp re))
6.0ms	(sqrt (exp re))
38.0ms	(* (sqrt (exp re)) (sin im))
94.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(sqrt (exp re))
24.0ms	(sqrt (exp re))
109.0ms	(* (sqrt (exp re)) (sin im))
75.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify7.6s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
4	4261
3	1706
2	534
1	192
0	87

prune711.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
0.4b	(cbrt (* (exp re) (sin im)))
0.4b	(cbrt (* (exp re) (sin im)))
0.4b	(cbrt (* (exp re) (sin im)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

49.0ms	(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
17.0ms	(cbrt (* (exp re) (sin im)))
17.0ms	(cbrt (* (exp re) (sin im)))
24.0ms	(cbrt (* (exp re) (sin im)))

series652.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
156.0ms	(cbrt (* (exp re) (sin im)))
162.0ms	(cbrt (* (exp re) (sin im)))
158.0ms	(cbrt (* (exp re) (sin im)))

simplify3.1s

Counts

78 → 78

Iterations

Iter	Nodes
done	5009
3	1842
2	564
1	183
0	73

prune630.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes351.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.2s	1456×	body	1280	valid
673.0ms	7017×	body	80	valid
657.0ms	1261×	body	640	valid
601.0ms	314×	body	160	valid
165.0ms	636×	body	320	valid