Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	302×	body	80	valid
1.0ms	7×	body	640	valid
1.0ms	4×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify105.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	60
4	60
3	50
2	34
1	19
0	8

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

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

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 (+ 5.0 x) (* x y))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify7.2s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
4	3662
3	473
2	103
1	40
0	22

prune233.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `distribute-lft-out` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

1.0ms	(fma x y (* (+ 5.0 x) z))
34.0ms	(* (+ 5.0 x) z)

series116.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(fma x y (* (+ 5.0 x) z))
45.0ms	(* (+ 5.0 x) z)

simplify4.8s

Counts

41 → 41

Iterations

Iter	Nodes
done	5033
3	2081
2	436
1	143
0	62

prune581.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite2.0ms

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 y) x (* z 5.0))

series86.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

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

simplify7.1s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
4	3706
3	471
2	94
1	36
0	23

prune271.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 5.0 x))
0.0b	(sqrt (+ 5.0 x))
0.3b	(* (sqrt (+ 5.0 x)) z)
0.4b	(* (sqrt (+ 5.0 x)) (* (sqrt (+ 5.0 x)) z))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`sqrt-div`
17×	`sqrt-prod`
14×	`associate-l`
13×	`pow1`
11×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*l/`
9×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `hypot-def` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

18.0ms	(sqrt (+ 5.0 x))
23.0ms	(sqrt (+ 5.0 x))
42.0ms	(* (sqrt (+ 5.0 x)) z)
118.0ms	(* (sqrt (+ 5.0 x)) (* (sqrt (+ 5.0 x)) z))

series308.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(sqrt (+ 5.0 x))
49.0ms	(sqrt (+ 5.0 x))
126.0ms	(* (sqrt (+ 5.0 x)) z)
58.0ms	(* (sqrt (+ 5.0 x)) (* (sqrt (+ 5.0 x)) z))

simplify5.3s

Counts

113 → 113

Iterations

Iter	Nodes
done	5004
3	3195
2	982
1	342
0	138

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes564.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

640.0ms	9808×	body	80	valid
24.0ms	111×	body	1280	valid
21.0ms	118×	body	640	valid
9.0ms	67×	body	320	valid
3.0ms	34×	body	160	valid