Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

330×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
10	2044
9	699
8	409
7	355
6	315
5	265
4	162
3	73
2	32
1	15
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 6.0 (- y x))
0.1b	(fma z (* 6.0 (- y x)) x)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `prod-diff`
16×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 58

Calls

2 calls:

33.0ms	(* 6.0 (- y x))
1.0ms	(fma z (* 6.0 (- y x)) x)

series96.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* 6.0 (- y x))
57.0ms	(fma z (* 6.0 (- y x)) x)

simplify2.2s

Counts

64 → 64

Iterations

Iter	Nodes
done	5037
3	1713
2	610
1	265
0	122

prune196.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma (* z 6.0) (- y x) 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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

(fma (* z 6.0) (- y x) x)

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(fma (* z 6.0) (- y x) x)

simplify1.5s

Counts

14 → 14

Iterations

Iter	Nodes
done	5009
4	1215
3	331
2	117
1	44
0	24

prune64.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma z (* (sqrt 6.0) (* (sqrt 6.0) (- y x))) x)
0.5b	(* (sqrt 6.0) (- y x))
0.6b	(* (sqrt 6.0) (* (sqrt 6.0) (- y x)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
50×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
44×	`add-cube-cbrt`
12×	`associate-l`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`sqrt-prod`
6×	`sub-neg` `associate-r` `associate-*r/`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 132

Calls

3 calls:

0.0ms	(fma z (* (sqrt 6.0) (* (sqrt 6.0) (- y x))) x)
26.0ms	(* (sqrt 6.0) (- y x))
39.0ms	(* (sqrt 6.0) (* (sqrt 6.0) (- y x)))

series308.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(fma z (* (sqrt 6.0) (* (sqrt 6.0) (- y x))) x)
86.0ms	(* (sqrt 6.0) (- y x))
104.0ms	(* (sqrt 6.0) (* (sqrt 6.0) (- y x)))

simplify2.7s

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
3	4267
2	1426
1	568
0	206

prune367.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (* (sqrt (sqrt 6.0)) (* (sqrt (sqrt 6.0)) (* (sqrt 6.0) (- y x)))) x)
0.3b	(* (sqrt (sqrt 6.0)) (* (sqrt (sqrt 6.0)) (* (sqrt 6.0) (- y x))))
0.3b	(* (sqrt (sqrt 6.0)) (* (sqrt 6.0) (- y x)))
0.5b	(* (sqrt 6.0) (- y x))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

187×	`distribute-rgt-in` `distribute-lft-in`
126×	`prod-diff`
103×	`add-sqr-sqrt`
99×	`*-un-lft-identity`
97×	`add-cube-cbrt`
24×	`associate-l`
22×	`sqrt-prod`
20×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`sub-neg`
12×	`associate-*r/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 255

Calls

4 calls:

0.0ms	(fma z (* (sqrt (sqrt 6.0)) (* (sqrt (sqrt 6.0)) (* (sqrt 6.0) (- y x)))) x)
107.0ms	(* (sqrt (sqrt 6.0)) (* (sqrt (sqrt 6.0)) (* (sqrt 6.0) (- y x))))
60.0ms	(* (sqrt (sqrt 6.0)) (* (sqrt 6.0) (- y x)))
31.0ms	(* (sqrt 6.0) (- y x))

series688.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(fma z (* (sqrt (sqrt 6.0)) (* (sqrt (sqrt 6.0)) (* (sqrt 6.0) (- y x)))) x)
174.0ms	(* (sqrt (sqrt 6.0)) (* (sqrt (sqrt 6.0)) (* (sqrt 6.0) (- y x))))
249.0ms	(* (sqrt (sqrt 6.0)) (* (sqrt 6.0) (- y x)))
103.0ms	(* (sqrt 6.0) (- y x))

simplify2.1s

Counts

267 → 267

Iterations

Iter	Nodes
done	5001
2	2090
1	806
0	355

prune701.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes125.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

829.0ms

10115×

body

valid