Details

sample39.0ms

Algorithm

intervals

Results

15.0ms

370×

body

valid

simplify178.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (61.0ms)

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))
4.7b	(* (* a z) b)

rewrite158.0ms

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:

26.0ms	(+ (+ x (* y z)) (* t a))
105.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.0ms	(+ x (* y z))
19.0ms	(* (* a z) b)

series215.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ (+ x (* y z)) (* t a))
100.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
28.0ms	(+ x (* y z))
33.0ms	(* (* a z) b)

simplify942.0ms

Counts

85 → 85

Iterations

Useful iterations: done (934.0ms)

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

prune272.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z y (fma (fma z b t) a x))
3.4b	(fma (fma z b t) a x)

rewrite1.0ms

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:

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

series189.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(fma z y (fma (fma z b t) a x))
78.0ms	(fma (fma z b t) a x)

simplify1.8s

Counts

26 → 26

Iterations

Useful iterations: 3 (68.0ms)

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

prune92.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma a (fma z b t) (fma z y x)))
3.4b	(fma a (fma z b t) (fma z y x))
3.4b	(fma a (fma z b t) (fma z y x))
3.4b	(fma a (fma z b t) (fma z y 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 a (fma z b t) (fma z y x)))
0.0ms	(fma a (fma z b t) (fma z y x))
0.0ms	(fma a (fma z b t) (fma z y x))
0.0ms	(fma a (fma z b t) (fma z y x))

series643.0ms

Counts

4 → 12

Calls

4 calls:

337.0ms	(cbrt (fma a (fma z b t) (fma z y x)))
103.0ms	(fma a (fma z b t) (fma z y x))
104.0ms	(fma a (fma z b t) (fma z y x))
100.0ms	(fma a (fma z b t) (fma z y x))

simplify2.2s

Counts

55 → 55

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	64	752
1	126	735
2	306	645
3	1049	632
4	4591	623
done	5000	623

prune238.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
1.0b	(* (* (* a z) (sqrt b)) (sqrt b))
1.4b	(* (* a z) (sqrt b))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

28.0ms	(+ (+ x (* y z)) (* t a))
7.0ms	(+ x (* y z))
68.0ms	(* (* (* a z) (sqrt b)) (sqrt b))
22.0ms	(* (* a z) (sqrt b))

series175.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (+ x (* y z)) (* t a))
33.0ms	(+ x (* y z))
40.0ms	(* (* (* a z) (sqrt b)) (sqrt b))
48.0ms	(* (* a z) (sqrt b))

simplify1.2s

Counts

95 → 95

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	141	998
1	400	793
2	1560	680
done	5000	667

prune289.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes210.0ms

Accuracy

32.5% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.9b

bsearch52.0ms

Steps

Iters	Range		Point
9	-5.506612743790931e-114	-2.834157559230948e-121	-1.1587911218134321e-117

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	29
1	26	29
done	26	29

end0.0ms

sample984.0ms

Algorithm

intervals

Results

417.0ms

11861×

body

valid