Details

sample44.0ms

Algorithm

intervals

Results

19.0ms	347×	body	80	valid
1.0ms	4×	body	640	valid
1.0ms	3×	body	1280	valid
1.0ms	4×	body	320	valid
0.0ms	1×	body	160	valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (316.0ms)

Iter	Nodes	Cost
0	12	15
1	31	14
2	95	14
3	317	12
4	1016	11
5	2558	11
done	5000	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (fma 2 (+ y z) t) (* y 5.0))

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 x (fma 2 (+ y z) t) (* y 5.0))

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

(fma x (fma 2 (+ y z) t) (* y 5.0))

simplify2.7s

Counts

13 → 13

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	30	197
1	56	191
2	135	163
3	459	156
4	2891	156
done	5000	156

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 2 x) (+ y z))
0.1b	(fma y 5.0 (* (* 2 x) (+ y z)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`*-un-lft-identity`
4×	`associate-r`
3×	`add-sqr-sqrt` `add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 35

Calls

2 calls:

56.0ms	(* (* 2 x) (+ y z))
1.0ms	(fma y 5.0 (* (* 2 x) (+ y z)))

series120.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* (* 2 x) (+ y z))
57.0ms	(fma y 5.0 (* (* 2 x) (+ y z)))

simplify1.2s

Counts

41 → 41

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	75	466
1	212	437
2	1355	375
done	5000	372

prune478.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x (fma 2 (+ y z) t) (* y 5.0))
0.3b	(pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3)
37.9b	(cbrt (pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3))

rewrite7.0ms

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 x (fma 2 (+ y z) t) (* y 5.0))
3.0ms	(pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3)
2.0ms	(cbrt (pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3))

series880.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(fma x (fma 2 (+ y z) t) (* y 5.0))
718.0ms	(pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3)
100.0ms	(cbrt (pow (fma x (fma 2 (+ y z) t) (* y 5.0)) 3))

simplify1.5s

Counts

67 → 67

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	98	1373
1	266	1167
2	1370	1004
done	5002	997

prune285.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

985.0ms	10720×	body	80	valid
27.0ms	89×	body	1280	valid
24.0ms	102×	body	640	valid
11.0ms	59×	body	320	valid
4.0ms	35×	body	160	valid