Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	235×	body	80	valid
1.0ms	6×	body	2560	valid
1.0ms	7×	body	640	valid
1.0ms	5×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify31.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	50
6	50
5	47
4	41
3	34
2	25
1	12
0	7

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--`

Counts

1 → 12

Calls

1 calls:

4.0ms

(- x (* (/ 3.0 8.0) y))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(- x (* (/ 3.0 8.0) y))

simplify2.9s

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
4	4693
3	1034
2	262
1	81
0	32

prune66.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 3.0 (/ 8.0 y)))
0.2b	(/ 3.0 (/ 8.0 y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
53×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
44×	`add-cube-cbrt`
13×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*` `difference-of-squares`
2×	`pow1`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `associate-/r/` `flip--` `distribute-lft-out--`

Counts

2 → 86

Calls

2 calls:

36.0ms	(- x (/ 3.0 (/ 8.0 y)))
13.0ms	(/ 3.0 (/ 8.0 y))

series64.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- x (/ 3.0 (/ 8.0 y)))
22.0ms	(/ 3.0 (/ 8.0 y))

simplify1.0s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1822
1	444
0	180

prune401.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (* (cbrt 3.0) (cbrt 3.0)) (* (/ (cbrt 3.0) 8.0) y)))
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (/ (cbrt 3.0) 8.0) y))
0.4b	(* (/ (cbrt 3.0) 8.0) y)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
25×	`add-sqr-sqrt`
23×	`associate-l`
20×	`times-frac` `add-cbrt-cube`
17×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
15×	`prod-exp` `cbrt-unprod`
10×	`cbrt-prod`
9×	`pow-prod-down`
5×	`add-log-exp`
4×	`associate-r`
3×	`cbrt-undiv` `div-exp` `unswap-sqr`
2×	`associate-l/` `-commutative`
1×	`sub-neg` `flip3--` `diff-log` `associate-*r/` `div-inv` `flip--`

Counts

3 → 81

Calls

3 calls:

9.0ms	(- x (* (* (cbrt 3.0) (cbrt 3.0)) (* (/ (cbrt 3.0) 8.0) y)))
43.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (/ (cbrt 3.0) 8.0) y))
23.0ms	(* (/ (cbrt 3.0) 8.0) y)

series383.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(- x (* (* (cbrt 3.0) (cbrt 3.0)) (* (/ (cbrt 3.0) 8.0) y)))
143.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (/ (cbrt 3.0) 8.0) y))
119.0ms	(* (/ (cbrt 3.0) 8.0) y)

simplify1.0s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	1683
1	340
0	130

prune425.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt (/ (cbrt 3.0) 8.0)) (* y (sqrt (/ (cbrt 3.0) 8.0))))))
0.1b	(* y (sqrt (/ (cbrt 3.0) 8.0)))
0.2b	(* (sqrt (/ (cbrt 3.0) 8.0)) (* y (sqrt (/ (cbrt 3.0) 8.0))))
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt (/ (cbrt 3.0) 8.0)) (* y (sqrt (/ (cbrt 3.0) 8.0)))))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

47×	`sqrt-prod`
43×	`add-sqr-sqrt`
38×	`times-frac`
33×	`*-un-lft-identity` `add-cube-cbrt`
32×	`pow1` `add-exp-log`
29×	`associate-l`
27×	`associate-r`
26×	`add-cbrt-cube`
19×	`cbrt-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-*r/`
9×	`sqrt-div`
6×	`add-log-exp`
4×	`unswap-sqr`
3×	`*-commutative`
2×	`frac-times` `associate-*l/` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 130

Calls

4 calls:

7.0ms	(- x (* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt (/ (cbrt 3.0) 8.0)) (* y (sqrt (/ (cbrt 3.0) 8.0))))))
18.0ms	(* y (sqrt (/ (cbrt 3.0) 8.0)))
71.0ms	(* (sqrt (/ (cbrt 3.0) 8.0)) (* y (sqrt (/ (cbrt 3.0) 8.0))))
159.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt (/ (cbrt 3.0) 8.0)) (* y (sqrt (/ (cbrt 3.0) 8.0)))))

series870.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(- x (* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt (/ (cbrt 3.0) 8.0)) (* y (sqrt (/ (cbrt 3.0) 8.0))))))
179.0ms	(* y (sqrt (/ (cbrt 3.0) 8.0)))
213.0ms	(* (sqrt (/ (cbrt 3.0) 8.0)) (* y (sqrt (/ (cbrt 3.0) 8.0))))
262.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt (/ (cbrt 3.0) 8.0)) (* y (sqrt (/ (cbrt 3.0) 8.0)))))

simplify1.2s

Counts

142 → 142

Iterations

Iter	Nodes
done	5000
2	1769
1	509
0	224

prune653.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes229.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample671.0ms

Algorithm

intervals

Results

309.0ms	7393×	body	80	valid
48.0ms	151×	body	640	valid
32.0ms	216×	body	1280	valid
19.0ms	96×	body	2560	valid
8.0ms	98×	body	320	valid
3.0ms	46×	body	160	valid