Details

sample47.0ms

Algorithm

intervals

Results

16.0ms	308×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	2×	body	160	valid

simplify52.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	72
5	72
4	71
3	56
2	34
1	19
0	8

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (+ 5.0 x) z (* 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` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify1.6s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	1939
3	278
2	71
1	36
0	21

prune71.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

26.0ms	(* x (+ y z))
11.0ms	(+ (* x (+ y z)) (* z 5.0))

series107.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* x (+ y z))
64.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify825.0ms

Counts

47 → 47

Iterations

Iter	Nodes
done	5001
2	1151
1	241
0	76

prune215.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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/` `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 → 33

Calls

2 calls:

29.0ms	(* (+ y z) x)
0.0ms	(fma 5.0 z (* (+ y z) x))

series118.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* (+ y z) x)
70.0ms	(fma 5.0 z (* (+ y z) x))

simplify546.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
2	580
1	136
0	60

prune192.0ms

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 (+ z y) (* 5.0 z))
0.3b	(pow (fma x (+ z y) (* 5.0 z)) 3)
36.7b	(cbrt (pow (fma x (+ z y) (* 5.0 z)) 3))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
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 (+ z y) (* 5.0 z))
2.0ms	(pow (fma x (+ z y) (* 5.0 z)) 3)
5.0ms	(cbrt (pow (fma x (+ z y) (* 5.0 z)) 3))

series285.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(fma x (+ z y) (* 5.0 z))
168.0ms	(pow (fma x (+ z y) (* 5.0 z)) 3)
53.0ms	(cbrt (pow (fma x (+ z y) (* 5.0 z)) 3))

simplify1.6s

Counts

67 → 67

Iterations

Iter	Nodes
done	5001
2	1444
1	246
0	88

prune307.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes209.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

911.0ms	9770×	body	80	valid
47.0ms	136×	body	640	valid
21.0ms	117×	body	1280	valid
8.0ms	65×	body	320	valid
2.0ms	33×	body	160	valid