Details

sample34.0ms

Algorithm

intervals

Results

12.0ms	287×	body	80	valid
1.0ms	7×	body	640	valid
1.0ms	5×	body	320	valid
1.0ms	4×	body	1280	valid
0.0ms	3×	body	160	valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1977
4	582
3	172
2	51
1	21
0	12

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* (- y x) 6.0)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

199×	`add-sqr-sqrt`
195×	`prod-diff`
191×	`*-un-lft-identity`
185×	`add-cube-cbrt`
146×	`times-frac`
82×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
16×	`div-inv`
13×	`fma-neg`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`associate-*l/`
9×	`associate-r`
8×	`flip3--` `flip--` `add-log-exp`
6×	`associate-l`
5×	`sub-neg` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def` `distribute-lft-out--`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

4 → 304

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
19.0ms	(* (- y x) 6.0)
31.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
89.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series195.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ 2.0 3.0) z)
36.0ms	(* (- y x) 6.0)
68.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
67.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.0s

Counts

316 → 316

Iterations

Iter	Nodes
done	5001
1	1107
0	400

prune1.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
13.0ms	(* (cbrt x) (cbrt x))

series1.1s

Counts

4 → 12

Calls

4 calls:

261.0ms	(cbrt x)
288.0ms	(cbrt x)
252.0ms	(cbrt x)
304.0ms	(* (cbrt x) (cbrt x))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	711
1	142
0	65

prune598.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))
0.6b	(* (cbrt x) (cbrt x))
0.6b	(* (cbrt x) (cbrt x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
51×	`cbrt-prod`
29×	`*-un-lft-identity` `add-cube-cbrt`
25×	`pow1`
19×	`pow1/3`
18×	`swap-sqr` `associate-r` `associate-l`
12×	`unswap-sqr`
10×	`add-exp-log`
6×	`pow-prod-down` `pow-sqr` `pow-prod-up`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

1.0ms	(cbrt x)
9.0ms	(* (cbrt x) (cbrt x))
10.0ms	(* (cbrt x) (cbrt x))
15.0ms	(* (cbrt x) (cbrt x))

series1.2s

Counts

4 → 12

Calls

4 calls:

276.0ms	(cbrt x)
300.0ms	(* (cbrt x) (cbrt x))
296.0ms	(* (cbrt x) (cbrt x))
281.0ms	(* (cbrt x) (cbrt x))

simplify1.3s

Counts

151 → 151

Iterations

Iter	Nodes
done	5000
2	711
1	142
0	65

prune882.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
60.4b	(fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
0.0ms	(fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))

series1.5s

Counts

4 → 12

Calls

4 calls:

280.0ms	(cbrt z)
270.0ms	(cbrt z)
223.0ms	(cbrt z)
743.0ms	(fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))

simplify739.0ms

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
3	949
2	231
1	71
0	40

prune473.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes330.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	20
1	20
0	17

end0.0ms

sample1.5s

Algorithm

intervals

Results

575.0ms	9450×	body	80	valid
372.0ms	187×	body	320	valid
76.0ms	264×	body	640	valid
30.0ms	140×	body	1280	valid
9.0ms	102×	body	160	valid