Details

sample32.0ms

Algorithm

intervals

Results

12.0ms	247×	body	80	valid
1.0ms	3×	body	1280	valid
1.0ms	2×	body	2560	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

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:

33.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify2.4s

Counts

20 → 20

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	33	213
1	89	204
2	232	185
3	630	185
4	1852	185
done	5001	185

prune143.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

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)

rewrite39.0ms

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:

23.0ms	(* (cbrt x) (cbrt x))
9.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.6s

Counts

4 → 12

Calls

4 calls:

412.0ms	(* (cbrt x) (cbrt x))
384.0ms	(cbrt x)
385.0ms	(cbrt x)
381.0ms	(cbrt x)

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune664.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

series197.0ms

Counts

1 → 3

Calls

1 calls:

197.0ms

(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

simplify2.9s

Counts

13 → 13

Iterations

Useful iterations: 3 (956.0ms)

Iter	Nodes	Cost
0	40	216
1	91	171
2	308	145
3	1633	143
done	5000	143

prune93.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes208.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample940.0ms

Algorithm

intervals

Results

449.0ms	7685×	body	80	valid
55.0ms	72×	body	640	valid
29.0ms	113×	body	1280	valid
14.0ms	49×	body	2560	valid
7.0ms	51×	body	320	valid
3.0ms	32×	body	160	valid