Details

sample54.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
13.0ms	236×	body	80	nan

simplify74.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	11	14
1	22	12
2	44	11
3	63	11
4	67	11
5	68	11
done	68	11

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.1b

localize12.0ms

Local error

Found 3 expressions with local error:

1.0b	(+ (* x y) (* x z))
1.8b	(+ (+ (* x y) (* x z)) (* y z))
18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `fma-def` `*-un-lft-identity`
4×	`pow1` `sum-log`
3×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `sqrt-div` `distribute-lft-out`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

3 → 51

Calls

3 calls:

8.0ms	(+ (* x y) (* x z))
36.0ms	(+ (+ (* x y) (* x z)) (* y z))
44.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series210.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (* x y) (* x z))
31.0ms	(+ (+ (* x y) (* x z)) (* y z))
139.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify3.3s

Counts

60 → 60

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	92	853
1	271	652
2	970	584
3	4050	573
done	5000	572

prune281.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 19.0b

localize24.0ms

Local error

Found 3 expressions with local error:

1.0b	(+ (* x y) (* x z))
1.8b	(+ (pow (+ (* x y) (* x z)) 1) (* y z))
18.0b	(sqrt (+ (pow (+ (* x y) (* x z)) 1) (* y z)))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

9×	`fma-def`
7×	`add-sqr-sqrt` `add-log-exp`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `unpow-prod-down`
3×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `sqrt-div` `sum-log` `distribute-lft-out`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `sqr-pow`

Counts

3 → 53

Calls

3 calls:

10.0ms	(+ (* x y) (* x z))
130.0ms	(+ (pow (+ (* x y) (* x z)) 1) (* y z))
124.0ms	(sqrt (+ (pow (+ (* x y) (* x z)) 1) (* y z)))

series254.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (* x y) (* x z))
34.0ms	(+ (pow (+ (* x y) (* x z)) 1) (* y z))
163.0ms	(sqrt (+ (pow (+ (* x y) (* x z)) 1) (* y z)))

simplify4.3s

Counts

62 → 62

Iterations

Useful iterations: 3 (2.3s)

Iter	Nodes	Cost
0	93	922
1	268	623
2	998	560
3	4209	553
done	5000	553

prune394.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 19.0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.3b	(fma z x (* y (+ z x)))
1.3b	(fma z x (* y (+ z x)))
18.0b	(sqrt (fma z x (* y (+ z x))))
18.0b	(sqrt (fma z x (* y (+ z x))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

4 → 50

Calls

4 calls:

0.0ms	(fma z x (* y (+ z x)))
0.0ms	(fma z x (* y (+ z x)))
2.0ms	(sqrt (fma z x (* y (+ z x))))
3.0ms	(sqrt (fma z x (* y (+ z x))))

series382.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(fma z x (* y (+ z x)))
55.0ms	(fma z x (* y (+ z x)))
151.0ms	(sqrt (fma z x (* y (+ z x))))
143.0ms	(sqrt (fma z x (* y (+ z x))))

simplify1.5s

Counts

62 → 62

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	51	750
1	103	674
2	264	616
3	1004	608
done	5000	602

prune390.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 19.0b

localize55.0ms

Local error

Found 4 expressions with local error:

1.3b	(fma z x (* y (+ z x)))
18.0b	(sqrt (fma z x (* y (+ z x))))
18.5b	(cbrt (fma z x (* y (+ z x))))
18.5b	(cbrt (fma z x (* y (+ z x))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod`
2×	`pow1/3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

4 → 51

Calls

4 calls:

0.0ms	(fma z x (* y (+ z x)))
2.0ms	(sqrt (fma z x (* y (+ z x))))
1.0ms	(cbrt (fma z x (* y (+ z x))))
1.0ms	(cbrt (fma z x (* y (+ z x))))

series1.4s

Counts

4 → 12

Calls

4 calls:

29.0ms	(fma z x (* y (+ z x)))
168.0ms	(sqrt (fma z x (* y (+ z x))))
324.0ms	(cbrt (fma z x (* y (+ z x))))
879.0ms	(cbrt (fma z x (* y (+ z x))))

simplify1.6s

Counts

63 → 63

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	82	801
1	173	757
2	415	690
3	1381	676
done	5000	657

prune450.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 19.0b

regimes221.0ms

Accuracy

0% (0.1b remaining)

Error of 19.8b against oracle of 19.7b and baseline of 19.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	13	16
1	21	14
done	21	14

end0.0ms

sample2.3s

Algorithm

intervals

Results

778.0ms	7981×	body	80	nan
706.0ms	8000×	body	80	valid