Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	226×	body	80	valid
2.0ms	32×	body	640	valid
1.0ms	14×	body	1280	valid
1.0ms	17×	body	320	valid
0.0ms	10×	body	160	valid

simplify16.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	29	8
3	74	8
4	204	8
5	512	8
6	1014	8
7	1902	8
8	3124	8
9	4038	8
10	4436	8
11	4922	8
done	5000	8

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.2b

localize6.0ms

Local error

Found 1 expressions with local error:

3.3b	(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:

0.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify742.0ms

Counts

13 → 13

Iterations

Useful iterations: 4 (106.0ms)

Iter	Nodes	Cost
0	20	142
1	35	139
2	83	123
3	233	120
4	1132	117
done	5000	117

prune40.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize4.0ms

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:

0.0ms

(fma y (- x 1.0) 1.0)

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(fma y (- x 1.0) 1.0)

simplify874.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	19	116
1	32	113
2	69	95
3	222	95
4	1063	95
done	5000	95

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

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:

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))
6.0ms	(* (cbrt (fma y (- x 1.0) 1.0)) (cbrt (fma y (- x 1.0) 1.0)))

series446.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(cbrt (fma y (- x 1.0) 1.0))
99.0ms	(cbrt (fma y (- x 1.0) 1.0))
100.0ms	(cbrt (fma y (- x 1.0) 1.0))
148.0ms	(* (cbrt (fma y (- x 1.0) 1.0)) (cbrt (fma y (- x 1.0) 1.0)))

simplify1.0s

Counts

93 → 93

Iterations

Useful iterations: 3 (370.0ms)

Iter	Nodes	Cost
0	120	1730
1	287	1582
2	758	1444
3	2210	1188
done	5000	1188

prune261.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
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` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma y (- x 1.0) 1.0)
1.0ms	(sqrt (fma y (- x 1.0) 1.0))
1.0ms	(sqrt (fma y (- x 1.0) 1.0))
7.0ms	(* (sqrt (fma y (- x 1.0) 1.0)) (sqrt (fma y (- x 1.0) 1.0)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(fma y (- x 1.0) 1.0)
79.0ms	(sqrt (fma y (- x 1.0) 1.0))
78.0ms	(sqrt (fma y (- x 1.0) 1.0))
22.0ms	(* (sqrt (fma y (- x 1.0) 1.0)) (sqrt (fma y (- x 1.0) 1.0)))

simplify1.1s

Counts

103 → 103

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	89	1488
1	170	1009
2	420	909
3	1422	868
done	5000	860

prune187.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

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

sample442.0ms

Algorithm

intervals

Results

148.0ms	6919×	body	80	valid
60.0ms	845×	body	640	valid
38.0ms	435×	body	1280	valid
31.0ms	584×	body	320	valid
13.0ms	341×	body	160	valid