Details

sample79.0ms

Algorithm

intervals

Results

32.0ms

360×

body

valid

simplify279.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (95.0ms)

Iter	Nodes	Cost
0	13	15
1	26	15
2	67	12
3	136	11
4	180	10
5	191	10
6	194	10
done	194	10

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z y (fma (fma z b t) a x))
2.9b	(fma (fma z b t) a x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

1.0ms	(fma z y (fma (fma z b t) a x))
1.0ms	(fma (fma z b t) a x)

series326.0ms

Counts

2 → 6

Calls

2 calls:

175.0ms	(fma z y (fma (fma z b t) a x))
150.0ms	(fma (fma z b t) a x)

simplify3.1s

Counts

26 → 26

Iterations

Useful iterations: 3 (539.0ms)

Iter	Nodes	Cost
0	37	287
1	60	281
2	132	239
3	512	237
4	3583	237
done	5000	237

prune138.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
6.2b	(* (* a z) b)

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 73

Calls

4 calls:

50.0ms	(+ (+ x (* y z)) (* t a))
130.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
20.0ms	(+ x (* y z))
41.0ms	(* (* a z) b)

series357.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(+ (+ x (* y z)) (* t a))
190.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
35.0ms	(+ x (* y z))
33.0ms	(* (* a z) b)

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	123	930
1	353	781
2	1526	697
done	5002	662

prune416.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (fma z b t) a x))
2.9b	(fma (fma z b t) a x)
2.9b	(fma (fma z b t) a x)
2.9b	(fma (fma z b t) a x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (fma z b t) a x))
0.0ms	(fma (fma z b t) a x)
0.0ms	(fma (fma z b t) a x)
0.0ms	(fma (fma z b t) a x)

series648.0ms

Counts

4 → 12

Calls

4 calls:

316.0ms	(cbrt (fma (fma z b t) a x))
119.0ms	(fma (fma z b t) a x)
101.0ms	(fma (fma z b t) a x)
112.0ms	(fma (fma z b t) a x)

simplify2.9s

Counts

55 → 55

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	60	578
1	120	567
2	296	489
3	1023	482
4	4080	473
done	5000	473

prune377.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (fma z b t) a x))
0.2b	(* (sqrt (fma (fma z b t) a x)) (sqrt (fma (fma z b t) a x)))
2.9b	(fma (fma z b t) a x)
2.9b	(fma (fma z b t) a x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`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×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

2.0ms	(sqrt (fma (fma z b t) a x))
24.0ms	(* (sqrt (fma (fma z b t) a x)) (sqrt (fma (fma z b t) a x)))
0.0ms	(fma (fma z b t) a x)
0.0ms	(fma (fma z b t) a x)

series753.0ms

Counts

4 → 12

Calls

4 calls:

444.0ms	(sqrt (fma (fma z b t) a x))
117.0ms	(* (sqrt (fma (fma z b t) a x)) (sqrt (fma (fma z b t) a x)))
98.0ms	(fma (fma z b t) a x)
94.0ms	(fma (fma z b t) a x)

simplify1.5s

Counts

98 → 98

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	87	1563
1	167	1065
2	446	935
3	1586	892
done	5000	858

prune291.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes291.0ms

Accuracy

85.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.6b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	22	71
1	32	62
done	32	62

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s

11787×

body

valid