Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

438×

body

valid

simplify26.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	9	13
1	18	12
2	44	10
3	71	9
4	73	9
done	73	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (fma y 2.0 x) (* y y))

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:

0.0ms

(fma x (fma y 2.0 x) (* y y))

series31.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(fma x (fma y 2.0 x) (* y y))

simplify933.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	23	165
1	43	165
2	101	135
3	378	135
4	1894	135
done	5000	135

prune40.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y))))
9.2b	(cbrt (fma x (fma y 2.0 x) (* y y)))
9.2b	(cbrt (fma x (fma y 2.0 x) (* y y)))
9.2b	(cbrt (fma x (fma y 2.0 x) (* y y)))

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 (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y))))
1.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))
1.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))
1.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))

series632.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y))))
159.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))
157.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))
153.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: 3 (426.0ms)

Iter	Nodes	Cost
0	93	1834
1	191	1709
2	680	1562
3	2569	1353
done	5000	1353

prune296.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

8.6b	(sqrt (fma x (fma y 2.0 x) (* y y)))
9.2b	(cbrt (fma x (fma y 2.0 x) (* y y)))
9.2b	(cbrt (fma x (fma y 2.0 x) (* y y)))
9.2b	(cbrt (fma x (fma y 2.0 x) (* y y)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 54

Calls

4 calls:

1.0ms	(sqrt (fma x (fma y 2.0 x) (* y y)))
1.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))
1.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))
1.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))

series531.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(sqrt (fma x (fma y 2.0 x) (* y y)))
150.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))
155.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))
157.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))

simplify2.9s

Counts

66 → 66

Iterations

Useful iterations: 4 (597.0ms)

Iter	Nodes	Cost
0	63	926
1	119	887
2	293	817
3	914	808
4	4129	805
done	5001	805

prune275.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

9.2b	(cbrt (fma x (fma y 2.0 x) (* y y)))
9.2b	(cbrt (fma x (fma y 2.0 x) (* y y)))
9.2b	(cbrt (fma x (fma y 2.0 x) (* y y)))
9.2b	(cbrt (fma x (fma y 2.0 x) (* y y)))

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

series572.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))
138.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))
139.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))
149.0ms	(cbrt (fma x (fma y 2.0 x) (* y y)))

simplify2.2s

Counts

64 → 64

Iterations

Useful iterations: 4 (523.0ms)

Iter	Nodes	Cost
0	46	944
1	91	928
2	243	848
3	814	836
4	3696	832
done	5000	832

prune251.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

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	6	9
done	6	9

end0.0ms

sample631.0ms

Algorithm

intervals

Results

398.0ms

14101×

body

valid