Details

sample39.0ms

Algorithm

intervals

Results

16.0ms	335×	body	80	valid
1.0ms	3×	body	640	valid
1.0ms	3×	body	1280	valid
0.0ms	3×	body	320	valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (341.0ms)

Iter	Nodes	Cost
0	12	15
1	31	14
2	89	14
3	280	12
4	744	11
5	1269	11
6	1442	11
7	1456	11
done	1456	11

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

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))

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 3 (139.0ms)

Iter	Nodes	Cost
0	30	197
1	56	191
2	133	163
3	378	156
4	1341	156
done	5000	156

prune71.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

16.0ms	(* x (fma 2 (+ y z) t))
14.0ms	(+ (* x (fma 2 (+ y z) t)) (* y 5.0))

series151.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(* x (fma 2 (+ y z) t))
90.0ms	(+ (* x (fma 2 (+ y z) t)) (* y 5.0))

simplify2.6s

Counts

44 → 44

Iterations

Useful iterations: 3 (726.0ms)

Iter	Nodes	Cost
0	78	598
1	203	547
2	609	487
3	2593	481
done	5000	481

prune183.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

34.0ms	(+ (* x (* 2 (+ y z))) (* x t))
42.0ms	(* x (* 2 (+ y z)))
212.0ms	(+ (+ (* x (* 2 (+ y z))) (* x t)) (* y 5.0))

series205.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ (* x (* 2 (+ y z))) (* x t))
50.0ms	(* x (* 2 (+ y z)))
96.0ms	(+ (+ (* x (* 2 (+ y z))) (* x t)) (* y 5.0))

simplify1.0s

Counts

73 → 73

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	127	1002
1	377	815
2	1541	718
done	5002	716

prune298.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma y 5.0 (* (fma 2 (+ y z) t) x))) (cbrt (fma y 5.0 (* (fma 2 (+ y z) t) x))))
0.5b	(cbrt (fma y 5.0 (* (fma 2 (+ y z) t) x)))
0.5b	(cbrt (fma y 5.0 (* (fma 2 (+ y z) t) x)))
0.5b	(cbrt (fma y 5.0 (* (fma 2 (+ y z) t) x)))

rewrite33.0ms

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:

23.0ms	(* (cbrt (fma y 5.0 (* (fma 2 (+ y z) t) x))) (cbrt (fma y 5.0 (* (fma 2 (+ y z) t) x))))
2.0ms	(cbrt (fma y 5.0 (* (fma 2 (+ y z) t) x)))
2.0ms	(cbrt (fma y 5.0 (* (fma 2 (+ y z) t) x)))
2.0ms	(cbrt (fma y 5.0 (* (fma 2 (+ y z) t) x)))

series3.0s

Counts

4 → 12

Calls

4 calls:

1.4s	(* (cbrt (fma y 5.0 (* (fma 2 (+ y z) t) x))) (cbrt (fma y 5.0 (* (fma 2 (+ y z) t) x))))
492.0ms	(cbrt (fma y 5.0 (* (fma 2 (+ y z) t) x)))
568.0ms	(cbrt (fma y 5.0 (* (fma 2 (+ y z) t) x)))
517.0ms	(cbrt (fma y 5.0 (* (fma 2 (+ y z) t) x)))

simplify2.2s

Counts

93 → 93

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	158	2524
1	368	2351
2	969	2158
3	2678	1828
done	5000	1730

prune495.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes205.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.4s

Algorithm

intervals

Results

746.0ms	10694×	body	80	valid
48.0ms	90×	body	1280	valid
20.0ms	101×	body	640	valid
10.0ms	68×	body	320	valid
2.0ms	22×	body	160	valid