Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	2702
7	1178
6	421
5	190
4	93
3	48
2	30
1	14
0	4

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (* x x) (* x x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma x (* x x) (* x x))

series96.0ms

Counts

1 → 3

Calls

1 calls:

96.0ms

(fma x (* x x) (* x x))

simplify2.3s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	1338
3	271
2	85
1	30
0	18

prune56.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma x (* x x) (* x x))) (cbrt (fma x (* x x) (* x x))))
30.9b	(cbrt (fma x (* x x) (* x x)))
30.9b	(cbrt (fma x (* x x) (* x x)))
30.9b	(cbrt (fma x (* x x) (* x x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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 (fma x (* x x) (* x x))) (cbrt (fma x (* x x) (* x x))))
1.0ms	(cbrt (fma x (* x x) (* x x)))
1.0ms	(cbrt (fma x (* x x) (* x x)))
1.0ms	(cbrt (fma x (* x x) (* x x)))

series276.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (cbrt (fma x (* x x) (* x x))) (cbrt (fma x (* x x) (* x x))))
73.0ms	(cbrt (fma x (* x x) (* x x)))
68.0ms	(cbrt (fma x (* x x) (* x x)))
77.0ms	(cbrt (fma x (* x x) (* x x)))

simplify1.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5003
3	1870
2	685
1	253
0	104

prune458.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

30.9b	(cbrt (fma x (* x x) (* x x)))
30.9b	(cbrt (fma x (* x x) (* x x)))
30.9b	(cbrt (fma x (* x x) (* x x)))
30.9b	(cbrt (fma x (* x x) (* x x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

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

series272.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(cbrt (fma x (* x x) (* x x)))
59.0ms	(cbrt (fma x (* x x) (* x x)))
67.0ms	(cbrt (fma x (* x x) (* x x)))
77.0ms	(cbrt (fma x (* x x) (* x x)))

simplify1.7s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
4	2536
3	899
2	316
1	122
0	54

prune414.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

30.9b	(cbrt (fma x (* x x) (* x x)))
30.9b	(cbrt (fma x (* x x) (* x x)))
30.9b	(cbrt (fma x (* x x) (* x x)))
33.1b	(pow (fma x (* x x) (* x x)) 1/3)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `pow1/3`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 59

Calls

4 calls:

1.0ms	(cbrt (fma x (* x x) (* x x)))
1.0ms	(cbrt (fma x (* x x) (* x x)))
1.0ms	(cbrt (fma x (* x x) (* x x)))
4.0ms	(pow (fma x (* x x) (* x x)) 1/3)

series321.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(cbrt (fma x (* x x) (* x x)))
82.0ms	(cbrt (fma x (* x x) (* x x)))
74.0ms	(cbrt (fma x (* x x) (* x x)))
95.0ms	(pow (fma x (* x x) (* x x)) 1/3)

simplify2.7s

Counts

71 → 71

Iterations

Iter	Nodes
done	5016
4	3647
3	1266
2	504
1	194
0	79

prune465.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	3
0	3

end0.0ms

sample550.0ms

Algorithm

intervals

Results

250.0ms	8000×	body	80	valid
153.0ms	8000×	pre	80	true