Details

sample17.0ms

Algorithm

intervals

Results

6.0ms	236×	body	80	valid
1.0ms	8×	body	1280	valid
0.0ms	4×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify38.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify2.8s

Counts

15 → 15

Iterations

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

prune70.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 3.0 (/ 8.0 y)))
0.5b	(/ 3.0 (/ 8.0 y))

rewrite32.0ms

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:

19.0ms	(- x (/ 3.0 (/ 8.0 y)))
7.0ms	(/ 3.0 (/ 8.0 y))

series99.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(- x (/ 3.0 (/ 8.0 y)))
35.0ms	(/ 3.0 (/ 8.0 y))

simplify1.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1822
1	444
0	180

prune512.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
17×	`pow1`
16×	`add-cbrt-cube`
14×	`prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt`
9×	`pow-prod-down`
7×	`associate-l`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`add-log-exp`
4×	`cbrt-prod` `associate-r`
2×	`cbrt-undiv` `div-exp` `associate-l/` `-commutative` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 61

Calls

3 calls:

5.0ms	(- x (* (* (/ (cbrt 3.0) 8.0) (cbrt 3.0)) (* (cbrt 3.0) y)))
62.0ms	(* (* (/ (cbrt 3.0) 8.0) (cbrt 3.0)) (* (cbrt 3.0) y))
12.0ms	(* (cbrt 3.0) y)

series372.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(- x (* (* (/ (cbrt 3.0) 8.0) (cbrt 3.0)) (* (cbrt 3.0) y)))
163.0ms	(* (* (/ (cbrt 3.0) 8.0) (cbrt 3.0)) (* (cbrt 3.0) y))
93.0ms	(* (cbrt 3.0) y)

simplify908.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1268
1	266
0	100

prune270.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

367.0ms	(* (cbrt y) (cbrt y))
277.0ms	(cbrt y)
287.0ms	(cbrt y)
289.0ms	(cbrt y)

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune469.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes223.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample606.0ms

Algorithm

intervals

Results

276.0ms	7395×	body	80	valid
66.0ms	202×	body	1280	valid
50.0ms	144×	body	640	valid
16.0ms	102×	body	2560	valid
8.0ms	100×	body	320	valid
3.0ms	57×	body	160	valid