Details

sample74.0ms

Algorithm

intervals

Results

29.0ms

390×

body

valid

simplify182.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (94.0ms)

Iter	Nodes	Cost
0	13	286
1	26	286
2	65	211
3	133	196
4	184	171
5	195	171
done	195	171

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ (+ x (* y z)) (* t a))
3.7b	(* (* a z) b)

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

108.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
24.0ms	(+ (+ x (* y z)) (* t a))
25.0ms	(* (* a z) b)

series195.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
69.0ms	(+ (+ x (* y z)) (* t a))
29.0ms	(* (* a z) b)

simplify2.3s

Counts

66 → 66

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	105	15056
1	301	12423
2	1324	11173
done	5002	10593

prune456.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

4.0b	(fma a (fma z b t) (fma y z 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:

0.0ms

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

series144.0ms

Counts

1 → 3

Calls

1 calls:

144.0ms

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

simplify2.7s

Counts

13 → 13

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	26	2789
1	43	2689
2	84	2659
3	243	2609
4	1225	2609
done	5004	2609

prune111.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma a (fma z b t) (fma y z x)))
4.0b	(fma a (fma z b t) (fma y z x))
4.0b	(fma a (fma z b t) (fma y z x))
4.0b	(fma a (fma z b t) (fma y z x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `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 y z x)))
1.0ms	(fma a (fma z b t) (fma y z x))
1.0ms	(fma a (fma z b t) (fma y z x))
1.0ms	(fma a (fma z b t) (fma y z x))

series851.0ms

Counts

4 → 12

Calls

4 calls:

462.0ms	(cbrt (fma a (fma z b t) (fma y z x)))
110.0ms	(fma a (fma z b t) (fma y z x))
134.0ms	(fma a (fma z b t) (fma y z x))
145.0ms	(fma a (fma z b t) (fma y z x))

simplify3.3s

Counts

55 → 55

Iterations

Useful iterations: 4 (1.7s)

Iter	Nodes	Cost
0	64	14274
1	126	13762
2	298	13592
3	990	13173
4	4389	13107
done	5000	13107

prune510.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes564.0ms

Accuracy

77.3% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.9b

bsearch141.0ms

Steps

Iters	Range		Point
7	8.165038816949382e-111	1.8932865463817238e-109	1.49585825072064e-109
7	-5.6508662423229994e+97	-1.001714562831305e+96	-1.0137661793993247e+96

simplify11.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	22	713
1	32	713
done	32	713

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s

11687×

body

valid