Details

sample42.0ms

Algorithm

intervals

Results

11.0ms	226×	body	80	valid
5.0ms	29×	body	640	valid
3.0ms	13×	body	1280	valid
2.0ms	18×	body	320	valid
0.0ms	3×	body	160	valid

simplify15.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	29	8
3	84	8
4	278	8
5	663	8
6	1289	8
7	2486	8
8	3245	8
9	4653	8
done	5001	8

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.3b

localize9.0ms

Local error

Found 1 expressions with local error:

1.2b	(fma (- 1.0 y) (- 1.0 x) x)

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 (- 1.0 y) (- 1.0 x) x)

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify1.0s

Counts

13 → 13

Iterations

Useful iterations: 4 (304.0ms)

Iter	Nodes	Cost
0	20	142
1	35	139
2	84	123
3	298	120
4	1463	117
done	5000	117

prune51.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

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 y (- x 1.0) 1.0)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(fma y (- x 1.0) 1.0)

simplify1.1s

Counts

13 → 13

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	19	116
1	32	113
2	67	95
3	243	95
4	1485	95
done	5000	95

prune32.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma y (- x 1.0) 1.0)) (cbrt (fma y (- x 1.0) 1.0)))
0.3b	(cbrt (fma y (- x 1.0) 1.0))
0.3b	(cbrt (fma y (- x 1.0) 1.0))
0.3b	(cbrt (fma y (- x 1.0) 1.0))

rewrite16.0ms

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:

11.0ms	(* (cbrt (fma y (- x 1.0) 1.0)) (cbrt (fma y (- x 1.0) 1.0)))
1.0ms	(cbrt (fma y (- x 1.0) 1.0))
1.0ms	(cbrt (fma y (- x 1.0) 1.0))
1.0ms	(cbrt (fma y (- x 1.0) 1.0))

series510.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (cbrt (fma y (- x 1.0) 1.0)) (cbrt (fma y (- x 1.0) 1.0)))
118.0ms	(cbrt (fma y (- x 1.0) 1.0))
110.0ms	(cbrt (fma y (- x 1.0) 1.0))
108.0ms	(cbrt (fma y (- x 1.0) 1.0))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	120	1730
1	287	1578
2	776	1444
3	2177	1192
done	5000	1145

prune297.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y (- x 1.0) 1.0)
0.1b	(pow (fma y (- x 1.0) 1.0) 3)
23.0b	(cbrt (pow (fma y (- x 1.0) 1.0) 3))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

0.0ms	(fma y (- x 1.0) 1.0)
3.0ms	(pow (fma y (- x 1.0) 1.0) 3)
2.0ms	(cbrt (pow (fma y (- x 1.0) 1.0) 3))

series108.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(fma y (- x 1.0) 1.0)
59.0ms	(pow (fma y (- x 1.0) 1.0) 3)
23.0ms	(cbrt (pow (fma y (- x 1.0) 1.0) 3))

simplify2.9s

Counts

67 → 67

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	79	889
1	172	719
2	503	632
3	3392	619
done	5002	618

prune165.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes40.0ms

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	5	6
done	5	6

end0.0ms

sample1.0s

Algorithm

intervals

Results

357.0ms	6973×	body	80	valid
124.0ms	595×	body	320	valid
113.0ms	856×	body	640	valid
71.0ms	411×	body	1280	valid
23.0ms	328×	body	160	valid