Details

sample47.0ms

Algorithm

intervals

Results

21.0ms	338×	body	80	valid
1.0ms	4×	body	640	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2655
4	984
3	310
2	95
1	31
0	12

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

6.0ms	(* x (fma (+ y z) 2 t))
0.0ms	(fma y 5.0 (* x (fma (+ y z) 2 t)))

series169.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* x (fma (+ y z) 2 t))
94.0ms	(fma y 5.0 (* x (fma (+ y z) 2 t)))

simplify1.6s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
3	1998
2	411
1	129
0	64

prune297.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

35.0ms	(* (* (+ y z) 2) x)
31.0ms	(+ (* (* (+ y z) 2) x) (* t x))
0.0ms	(fma y 5.0 (+ (* (* (+ y z) 2) x) (* t x)))

series209.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (* (+ y z) 2) x)
71.0ms	(+ (* (* (+ y z) 2) x) (* t x))
97.0ms	(fma y 5.0 (+ (* (* (+ y z) 2) x) (* t x)))

simplify1.6s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
2	1251
1	276
0	98

prune320.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

series156.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(fma (* (+ y z) 2) x (* t x))
88.0ms	(fma y 5.0 (fma (* (+ y z) 2) x (* t x)))

simplify2.2s

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
4	3278
3	517
2	140
1	61
0	39

prune181.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (fma x (fma (+ y z) 2 t) (* y 5.0)))
0.0b	(fma x (fma (+ y z) 2 t) (* y 5.0))
2.5b	(expm1 (log1p (fma x (fma (+ y z) 2 t) (* y 5.0))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`expm1-log1p-u`
3×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `fma-udef` `expm1-udef`

Counts

3 → 32

Calls

3 calls:

1.0ms	(log1p (fma x (fma (+ y z) 2 t) (* y 5.0)))
0.0ms	(fma x (fma (+ y z) 2 t) (* y 5.0))
1.0ms	(expm1 (log1p (fma x (fma (+ y z) 2 t) (* y 5.0))))

series1.1s

Counts

3 → 9

Calls

3 calls:

213.0ms	(log1p (fma x (fma (+ y z) 2 t) (* y 5.0)))
79.0ms	(fma x (fma (+ y z) 2 t) (* y 5.0))
767.0ms	(expm1 (log1p (fma x (fma (+ y z) 2 t) (* y 5.0))))

simplify1.8s

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
3	3617
2	744
1	234
0	99

prune295.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes234.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample1.4s

Algorithm

intervals

Results

916.0ms	10610×	body	80	valid
27.0ms	121×	body	640	valid
22.0ms	82×	body	1280	valid
9.0ms	50×	body	320	valid
3.0ms	27×	body	160	valid