Details

sample15.0ms

Algorithm

intervals

Results

4.0ms	234×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	7×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	160	valid

simplify135.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	29	7
4	40	7
5	45	7
6	49	7
7	58	7
8	74	7
9	90	7
10	101	7
11	103	7
12	107	7
13	108	7
done	108	7

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 (/ (- x y) 2.0))

rewrite24.0ms

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` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

23.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify1.9s

Counts

21 → 21

Iterations

Useful iterations: 4 (990.0ms)

Iter	Nodes	Cost
0	36	194
1	98	186
2	263	172
3	750	172
4	3556	171
done	5000	171

prune60.0ms

Pruning

7 alts after pruning (6 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)

rewrite17.0ms

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:

12.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series840.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(* (cbrt x) (cbrt x))
198.0ms	(cbrt x)
201.0ms	(cbrt x)
203.0ms	(cbrt x)

simplify3.7s

Counts

93 → 93

Iterations

Useful iterations: done (3.7s)

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

prune262.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series834.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt x)
217.0ms	(cbrt x)
205.0ms	(cbrt x)
207.0ms	(cbrt x)

simplify1.5s

Counts

64 → 64

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	26	284
1	44	268
2	85	244
3	162	232
4	407	232
5	1333	232
done	5000	232

prune251.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.0b	(pow (cbrt (cbrt x)) 4)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

18×	`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 → 65

Calls

4 calls:

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

series976.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt x)
213.0ms	(cbrt x)
208.0ms	(cbrt x)
348.0ms	(pow (cbrt (cbrt x)) 4)

simplify1.7s

Counts

77 → 77

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	74	470
1	145	423
2	291	394
3	669	383
4	2565	380
done	5001	369

prune275.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes113.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample365.0ms

Algorithm

intervals

Results

141.0ms	7399×	body	80	valid
17.0ms	225×	body	1280	valid
9.0ms	155×	body	640	valid
9.0ms	100×	body	2560	valid
3.0ms	71×	body	320	valid
2.0ms	53×	body	160	valid