Details

sample14.0ms

Algorithm

intervals

Results

5.0ms	242×	body	80	valid
0.0ms	5×	body	2560	valid
0.0ms	5×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	10	8
2	11	8
done	11	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (fabs (- y x)) 2.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

13.0ms

(+ x (/ (fabs (- y x)) 2.0))

series18.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(+ x (/ (fabs (- y x)) 2.0))

simplify2.5s

Counts

20 → 20

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	33	213
1	89	204
2	226	185
3	515	185
4	1428	185
5	3947	185
done	5000	185

prune53.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

11.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series772.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt x) (cbrt x))
182.0ms	(cbrt x)
187.0ms	(cbrt x)
192.0ms	(cbrt x)

simplify3.6s

Counts

93 → 93

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune218.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.9b	(pow (cbrt (cbrt x)) 4)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt (cbrt x))
5.0ms	(cbrt (* (cbrt x) (cbrt x)))
4.0ms	(pow (cbrt (cbrt x)) 4)

series1.0s

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt x)
254.0ms	(cbrt (cbrt x))
281.0ms	(cbrt (* (cbrt x) (cbrt x)))
309.0ms	(pow (cbrt (cbrt x)) 4)

simplify2.4s

Counts

78 → 78

Iterations

Useful iterations: 4 (970.0ms)

Iter	Nodes	Cost
0	101	554
1	205	517
2	428	447
3	1020	433
4	4223	422
done	5000	422

prune265.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.9b	(pow (cbrt (cbrt x)) 4)
0.9b	(pow (cbrt (cbrt x)) 4)
0.9b	(pow (cbrt (cbrt x)) 4)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
27×	`unpow-prod-down`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow-unpow`
7×	`pow1` `add-exp-log`
6×	`pow-pow`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

8.0ms	(cbrt (* (cbrt x) (cbrt x)))
4.0ms	(pow (cbrt (cbrt x)) 4)
4.0ms	(pow (cbrt (cbrt x)) 4)
5.0ms	(pow (cbrt (cbrt x)) 4)

series1.2s

Counts

4 → 12

Calls

4 calls:

284.0ms	(cbrt (* (cbrt x) (cbrt x)))
316.0ms	(pow (cbrt (cbrt x)) 4)
325.0ms	(pow (cbrt (cbrt x)) 4)
316.0ms	(pow (cbrt (cbrt x)) 4)

simplify1.7s

Counts

101 → 101

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	80	881
1	159	793
2	307	748
3	703	739
4	2679	730
done	5000	716

prune393.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes89.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample338.0ms

Algorithm

intervals

Results

143.0ms	7701×	body	80	valid
10.0ms	119×	body	1280	valid
6.0ms	30×	body	320	valid
6.0ms	88×	body	640	valid
4.0ms	41×	body	2560	valid
1.0ms	23×	body	160	valid