Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

338×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	9
3	9
2	8
1	6
0	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

15.0ms

(* (* x 3.0) x)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* (* x 3.0) x)

simplify1.7s

Counts

23 → 23

Iterations

Iter	Nodes
done	5009
3	1299
2	341
1	100
0	39

prune93.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.4b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
18.6b	(sqrt (* (* x 3.0) x))
18.6b	(sqrt (* (* x 3.0) x))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `pow-sqr`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

27.0ms	(* (* x 3.0) x)
116.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
16.0ms	(sqrt (* (* x 3.0) x))
22.0ms	(sqrt (* (* x 3.0) x))

series301.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* x 3.0) x)
124.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
63.0ms	(sqrt (* (* x 3.0) x))
68.0ms	(sqrt (* (* x 3.0) x))

simplify2.1s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
3	2251
2	607
1	214
0	88

prune335.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x)))
18.6b	(sqrt (* (* x 3.0) x))
18.6b	(sqrt (* (* x 3.0) x))
18.6b	(sqrt (* (* x 3.0) x))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

85×	`pow1`
57×	`sqrt-pow1`
41×	`pow-prod-down`
18×	`pow-prod-up`
15×	`pow1/2`
12×	`add-sqr-sqrt`
10×	`sqrt-prod`
7×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`pow-plus` `unswap-sqr`
1×	`sqrt-unprod` `cube-unmult` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 94

Calls

4 calls:

125.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x)))
11.0ms	(sqrt (* (* x 3.0) x))
12.0ms	(sqrt (* (* x 3.0) x))
22.0ms	(sqrt (* (* x 3.0) x))

series283.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (* (* x 3.0) x)))
54.0ms	(sqrt (* (* x 3.0) x))
46.0ms	(sqrt (* (* x 3.0) x))
46.0ms	(sqrt (* (* x 3.0) x))

simplify2.3s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
3	2088
2	626
1	225
0	92

prune509.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

18.6b	(sqrt (* (* x 3.0) x))
18.6b	(sqrt (* (* x 3.0) x))
18.6b	(sqrt (* (* x 3.0) x))
18.6b	(sqrt (* (* x 3.0) x))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1`
12×	`sqrt-pow1` `pow-prod-down`
4×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cbrt-cube` `pow1/2` `add-exp-log` `add-cube-cbrt` `sqrt-prod` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

18.0ms	(sqrt (* (* x 3.0) x))
19.0ms	(sqrt (* (* x 3.0) x))
17.0ms	(sqrt (* (* x 3.0) x))
17.0ms	(sqrt (* (* x 3.0) x))

series196.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt (* (* x 3.0) x))
53.0ms	(sqrt (* (* x 3.0) x))
50.0ms	(sqrt (* (* x 3.0) x))
54.0ms	(sqrt (* (* x 3.0) x))

simplify6.3s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
10	4510
9	940
8	336
7	196
6	125
5	104
4	92
3	70
2	54
1	34
0	23

prune322.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes87.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	4

end0.0ms

sample452.0ms

Algorithm

intervals

Results

252.0ms

10669×

body

valid