Details

sample73.0ms

Algorithm

intervals

Results

41.0ms

372×

body

valid

simplify249.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	251
6	251
5	248
4	206
3	140
2	67
1	26
0	13

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ (+ x (* y z)) (* t a))
3.5b	(* (* a z) b)

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

121.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
20.0ms	(+ (+ x (* y z)) (* t a))
14.0ms	(* (* a z) b)

series262.0ms

Counts

3 → 9

Calls

3 calls:

138.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
65.0ms	(+ (+ x (* y z)) (* t a))
58.0ms	(* (* a z) b)

simplify1.4s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	1760
1	305
0	105

prune458.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ x (* y z)) (* a (fma z b t)))
2.5b	(* a (fma z b t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

21.0ms	(+ (+ x (* y z)) (* a (fma z b t)))
7.0ms	(* a (fma z b t))

series211.0ms

Counts

2 → 6

Calls

2 calls:

136.0ms	(+ (+ x (* y z)) (* a (fma z b t)))
75.0ms	(* a (fma z b t))

simplify746.0ms

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
2	822
1	197
0	78

prune457.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma t a (fma z (fma a b y) x))
2.6b	(fma z (fma a b y) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

0.0ms	(fma t a (fma z (fma a b y) x))
0.0ms	(fma z (fma a b y) x)

series294.0ms

Counts

2 → 6

Calls

2 calls:

187.0ms	(fma t a (fma z (fma a b y) x))
106.0ms	(fma z (fma a b y) x)

simplify855.0ms

Counts

26 → 26

Iterations

Iter	Nodes
done	5001
3	834
2	154
1	62
0	38

prune245.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ x (* y z)) (* t a)))
0.0b	(sqrt (+ (+ x (* y z)) (* t a)))
0.2b	(fma (sqrt (+ (+ x (* y z)) (* t a))) (sqrt (+ (+ x (* y z)) (* t a))) (* (* a z) b))
3.5b	(* (* a z) b)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
9×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

4 → 64

Calls

4 calls:

20.0ms	(sqrt (+ (+ x (* y z)) (* t a)))
43.0ms	(sqrt (+ (+ x (* y z)) (* t a)))
1.0ms	(fma (sqrt (+ (+ x (* y z)) (* t a))) (sqrt (+ (+ x (* y z)) (* t a))) (* (* a z) b))
28.0ms	(* (* a z) b)

series4.7s

Counts

4 → 12

Calls

4 calls:

148.0ms	(sqrt (+ (+ x (* y z)) (* t a)))
165.0ms	(sqrt (+ (+ x (* y z)) (* t a)))
4.3s	(fma (sqrt (+ (+ x (* y z)) (* t a))) (sqrt (+ (+ x (* y z)) (* t a))) (* (* a z) b))
45.0ms	(* (* a z) b)

simplify1.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
2	1987
1	338
0	128

prune689.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes491.0ms

Accuracy

92.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.8b

bsearch186.0ms

Steps

Iters	Range		Point
10	4.596657472632644e+62	4.964627999446922e+73	4.670252803328498e+62
8	-1.7819255350359066e-77	-1.2217597270418725e-81	-1.356781841784474e-77

simplify3.0ms

Iterations

Iter	Nodes
done	27
1	27
0	20

end0.0ms

sample1.7s

Algorithm

intervals

Results

924.0ms

11964×

body

valid