Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify2.8s

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

prune10.0ms

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:

1.0ms

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

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

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

simplify2.4s

Counts

13 → 13

Iterations

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

prune43.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x (* x x) (* x x))
0.0b	(* (sqrt (fma x (* x x) (* x x))) (sqrt (fma x (* x x) (* x x))))
28.3b	(sqrt (fma x (* x x) (* x x)))
28.3b	(sqrt (fma x (* x x) (* x x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma x (* x x) (* x x))
10.0ms	(* (sqrt (fma x (* x x) (* x x))) (sqrt (fma x (* x x) (* x x))))
1.0ms	(sqrt (fma x (* x x) (* x x)))
1.0ms	(sqrt (fma x (* x x) (* x x)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(fma x (* x x) (* x x))
90.0ms	(* (sqrt (fma x (* x x) (* x x))) (sqrt (fma x (* x x) (* x x))))
66.0ms	(sqrt (fma x (* x x) (* x x)))
57.0ms	(sqrt (fma x (* x x) (* x x)))

simplify1.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
3	1445
2	394
1	145
0	80

prune243.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (fabs (cbrt (fma x (* x x) (* x x)))) (sqrt (fma x (* x x) (* x x)))) (sqrt (cbrt (fma x (* x x) (* x x)))))
28.3b	(sqrt (fma x (* x x) (* x x)))
29.3b	(cbrt (fma x (* x x) (* x x)))
29.3b	(cbrt (fma x (* x x) (* x x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `add-cbrt-cube` `associate-r` `add-exp-log` `sqrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `*-commutative`

Counts

4 → 67

Calls

4 calls:

22.0ms	(* (* (fabs (cbrt (fma x (* x x) (* x x)))) (sqrt (fma x (* x x) (* x x)))) (sqrt (cbrt (fma x (* x x) (* x x)))))
1.0ms	(sqrt (fma x (* x x) (* x x)))
1.0ms	(cbrt (fma x (* x x) (* x x)))
1.0ms	(cbrt (fma x (* x x) (* x x)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (* (fabs (cbrt (fma x (* x x) (* x x)))) (sqrt (fma x (* x x) (* x x)))) (sqrt (cbrt (fma x (* x x) (* x x)))))
50.0ms	(sqrt (fma x (* x x) (* x x)))
52.0ms	(cbrt (fma x (* x x) (* x x)))
54.0ms	(cbrt (fma x (* x x) (* x x)))

simplify2.5s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
3	4261
2	1195
1	379
0	148

prune399.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes37.0ms

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

sample457.0ms

Algorithm

intervals

Results

218.0ms	8000×	body	80	valid
113.0ms	8000×	pre	80	true