Details

sample46.0ms

Algorithm

intervals

Results

10.0ms	263×	body	80	nan
10.0ms	256×	body	80	valid

simplify32.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.4b

localize13.0ms

Local error

Found 2 expressions with local error:

1.3b	(fma (+ x y) z (* y x))
19.3b	(sqrt (fma (+ x y) z (* y x)))

rewrite2.0ms

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

series196.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(fma (+ x y) z (* y x))
168.0ms	(sqrt (fma (+ x y) z (* y x)))

simplify2.0s

Counts

31 → 31

Iterations

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

prune224.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 20.3b

localize25.0ms

Local error

Found 4 expressions with local error:

1.3b	(fma (+ x y) z (* y x))
1.3b	(fma (+ x y) z (* y x))
19.3b	(sqrt (fma (+ x y) z (* y x)))
19.3b	(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)))

series339.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma (+ x y) z (* y x))
32.0ms	(fma (+ x y) z (* y x))
152.0ms	(sqrt (fma (+ x y) z (* y x)))
117.0ms	(sqrt (fma (+ x y) z (* y x)))

simplify2.0s

Counts

62 → 62

Iterations

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

prune400.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 20.3b

localize56.0ms

Local error

Found 4 expressions with local error:

19.3b	(sqrt (* (* (cbrt (fma (+ x y) z (* y x))) (cbrt (fma (+ x y) z (* y x)))) (cbrt (fma (+ x y) z (* y x)))))
19.8b	(cbrt (fma (+ x y) z (* y x)))
19.8b	(cbrt (fma (+ x y) z (* y x)))
19.8b	(cbrt (fma (+ x y) z (* y x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
15×	`sqrt-pow1`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 65

Calls

4 calls:

18.0ms	(sqrt (* (* (cbrt (fma (+ x y) z (* y x))) (cbrt (fma (+ x y) z (* y x)))) (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)))
1.0ms	(cbrt (fma (+ x y) z (* y x)))

series919.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(sqrt (* (* (cbrt (fma (+ x y) z (* y x))) (cbrt (fma (+ x y) z (* y x)))) (cbrt (fma (+ x y) z (* y x)))))
292.0ms	(cbrt (fma (+ x y) z (* y x)))
265.0ms	(cbrt (fma (+ x y) z (* y x)))
238.0ms	(cbrt (fma (+ x y) z (* y x)))

simplify2.0s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
4	1976
3	789
2	347
1	185
0	89

prune675.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 20.3b

localize123.0ms

Local error

Found 4 expressions with local error:

19.8b	(cbrt (fma (+ x y) z (* y x)))
19.8b	(cbrt (fma (+ x y) z (* y x)))
19.8b	(cbrt (fma (+ x y) z (* y x)))
19.8b	(cbrt (fma (+ x y) z (* y x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series1.3s

Counts

4 → 12

Calls

4 calls:

330.0ms	(cbrt (fma (+ x y) z (* y x)))
324.0ms	(cbrt (fma (+ x y) z (* y x)))
323.0ms	(cbrt (fma (+ x y) z (* y x)))
301.0ms	(cbrt (fma (+ x y) z (* y x)))

simplify2.3s

Counts

64 → 64

Iterations

Iter	Nodes
done	5005
5	3033
4	955
3	388
2	166
1	88
0	43

prune659.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 20.3b

regimes321.0ms

Accuracy

0% (0.1b remaining)

Error of 19.6b against oracle of 19.5b and baseline of 19.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample1.7s

Algorithm

intervals

Results

612.0ms	7863×	body	80	nan
599.0ms	8000×	body	80	valid