Details

sample45.0ms

Algorithm

intervals

Results

12.0ms	297×	body	80	nan
11.0ms	269×	body	80	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1646
6	498
5	161
4	71
3	43
2	25
1	13
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (fma y (sqrt x) 1.0) x)
0.1b	(fma y (sqrt x) 1.0)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff` `add-cube-cbrt`
4×	`add-log-exp`
3×	`fma-neg`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 39

Calls

2 calls:

9.0ms	(- (fma y (sqrt x) 1.0) x)
1.0ms	(fma y (sqrt x) 1.0)

series79.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (fma y (sqrt x) 1.0) x)
39.0ms	(fma y (sqrt x) 1.0)

simplify1.9s

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
3	3350
2	632
1	202
0	84

prune191.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma y (sqrt x) (- 1.0 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 y (sqrt x) (- 1.0 x))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(fma y (sqrt x) (- 1.0 x))

simplify1.6s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	1767
3	339
2	119
1	53
0	26

prune90.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))
0.2b	(cbrt (fma y (sqrt x) 1.0))
0.2b	(cbrt (fma y (sqrt x) 1.0))
0.2b	(cbrt (fma y (sqrt x) 1.0))

rewrite14.0ms

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:

9.0ms	(* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))
1.0ms	(cbrt (fma y (sqrt x) 1.0))
1.0ms	(cbrt (fma y (sqrt x) 1.0))
1.0ms	(cbrt (fma y (sqrt x) 1.0))

series878.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))
211.0ms	(cbrt (fma y (sqrt x) 1.0))
221.0ms	(cbrt (fma y (sqrt x) 1.0))
216.0ms	(cbrt (fma y (sqrt x) 1.0))

simplify1.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1059
1	304
0	121

prune599.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma y (sqrt x) 1.0))
0.2b	(cbrt (fma y (sqrt x) 1.0))
0.2b	(cbrt (fma y (sqrt x) 1.0))
0.3b	(cbrt (* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`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 → 50

Calls

4 calls:

1.0ms	(cbrt (fma y (sqrt x) 1.0))
1.0ms	(cbrt (fma y (sqrt x) 1.0))
1.0ms	(cbrt (fma y (sqrt x) 1.0))
5.0ms	(cbrt (* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0))))

series844.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(cbrt (fma y (sqrt x) 1.0))
233.0ms	(cbrt (fma y (sqrt x) 1.0))
196.0ms	(cbrt (fma y (sqrt x) 1.0))
179.0ms	(cbrt (* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0))))

simplify2.4s

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
3	3079
2	728
1	256
0	104

prune456.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes163.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

866.0ms	8513×	body	80	valid
342.0ms	8434×	body	80	nan
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	1280	valid