Details

sample50.0ms

Algorithm

intervals

Results

15.0ms	267×	body	80	nan
12.0ms	256×	body	80	valid

simplify41.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	65
4	65
3	61
2	43
1	22
0	11

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.7b

localize28.0ms

Local error

Found 2 expressions with local error:

1.0b	(fma (+ x y) z (* y x))
17.7b	(sqrt (fma (+ x y) z (* y x)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

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

series184.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(fma (+ x y) z (* y x))
154.0ms	(sqrt (fma (+ x y) z (* y x)))

simplify2.3s

Counts

31 → 31

Iterations

Iter	Nodes
done	5000
4	3724
3	729
2	230
1	105
0	51

prune176.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 18.7b

localize27.0ms

Local error

Found 4 expressions with local error:

1.0b	(fma (+ x y) z (* y x))
1.0b	(fma (+ x y) z (* y x))
17.7b	(sqrt (fma (+ x y) z (* y x)))
17.7b	(sqrt (fma (+ x y) z (* y x)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `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 (+ x y) z (* y x))
0.0ms	(fma (+ x y) z (* y x))
1.0ms	(sqrt (fma (+ x y) z (* y x)))
1.0ms	(sqrt (fma (+ x y) z (* y x)))

series360.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(fma (+ x y) z (* y x))
39.0ms	(fma (+ x y) z (* y x))
136.0ms	(sqrt (fma (+ x y) z (* y x)))
156.0ms	(sqrt (fma (+ x y) z (* y x)))

simplify2.8s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
4	3724
3	729
2	230
1	105
0	51

prune495.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 18.7b

localize60.0ms

Local error

Found 4 expressions with local error:

17.7b	(sqrt (fma (+ x y) z (* y x)))
18.3b	(cbrt (fma (+ x y) z (* y x)))
18.3b	(cbrt (fma (+ x y) z (* y x)))
18.3b	(cbrt (fma (+ x y) z (* y x)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

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

series1.4s

Counts

4 → 12

Calls

4 calls:

260.0ms	(sqrt (fma (+ x y) z (* y x)))
357.0ms	(cbrt (fma (+ x y) z (* y x)))
421.0ms	(cbrt (fma (+ x y) z (* y x)))
400.0ms	(cbrt (fma (+ x y) z (* y x)))

simplify2.0s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
4	2002
3	770
2	316
1	155
0	71

prune741.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 18.6b

localize105.0ms

Local error

Found 4 expressions with local error:

17.7b	(sqrt (fma (+ x y) z (* y x)))
17.7b	(sqrt (fma (+ x y) z (* y x)))
17.7b	(sqrt (fma (+ x y) z (* y x)))
17.7b	(sqrt (fma (+ x y) z (* y x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

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

series727.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(sqrt (fma (+ x y) z (* y x)))
168.0ms	(sqrt (fma (+ x y) z (* y x)))
182.0ms	(sqrt (fma (+ x y) z (* y x)))
167.0ms	(sqrt (fma (+ x y) z (* y x)))

simplify3.5s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
5	3091
4	1162
3	417
2	172
1	85
0	40

prune559.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 18.6b

regimes252.0ms

Accuracy

0% (0.1b remaining)

Error of 20.0b against oracle of 19.9b and baseline of 20.0b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.1s	7932×	body	80	nan
593.0ms	8000×	body	80	valid