Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	238×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	3×	body	160	valid

simplify102.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	29	7
4	39	7
5	48	7
6	53	7
7	62	7
8	78	7
9	99	7
10	110	7
11	112	7
12	116	7
13	119	7
done	119	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))

rewrite15.0ms

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:

14.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify1.0s

Counts

21 → 21

Iterations

Useful iterations: 4 (285.0ms)

Iter	Nodes	Cost
0	36	194
1	98	186
2	234	172
3	674	172
4	2653	171
done	5000	171

prune62.0ms

Pruning

5 alts after pruning (4 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)

rewrite10.0ms

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:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series842.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(* (cbrt x) (cbrt x))
212.0ms	(cbrt x)
202.0ms	(cbrt x)
204.0ms	(cbrt x)

simplify3.2s

Counts

93 → 93

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	329	423
3	1179	405
4	3769	400
done	5000	400

prune258.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

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)

series813.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt x)
209.0ms	(cbrt x)
201.0ms	(cbrt x)
203.0ms	(cbrt x)

simplify3.7s

Counts

64 → 64

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	26	284
1	44	268
2	85	244
3	163	232
4	372	232
5	1064	232
6	4184	232
done	5000	232

prune227.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma (cbrt (* x x)) (cbrt x) (/ (- x y) 2.0))
0.6b	(cbrt x)
33.1b	(cbrt (* x x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 34

Calls

3 calls:

0.0ms	(fma (cbrt (* x x)) (cbrt x) (/ (- x y) 2.0))
1.0ms	(cbrt x)
2.0ms	(cbrt (* x x))

series462.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(fma (cbrt (* x x)) (cbrt x) (/ (- x y) 2.0))
197.0ms	(cbrt x)
196.0ms	(cbrt (* x x))

simplify788.0ms

Counts

43 → 43

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	67	337
1	116	328
2	216	293
3	464	287
4	1538	287
done	5000	287

prune137.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes85.0ms

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

sample309.0ms

Algorithm

intervals

Results

140.0ms	7420×	body	80	valid
16.0ms	206×	body	1280	valid
10.0ms	159×	body	640	valid
7.0ms	87×	body	320	valid
7.0ms	79×	body	2560	valid
2.0ms	53×	body	160	valid