Details

sample38.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
10.0ms	244×	body	80	nan

simplify57.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	70
5	70
4	69
3	64
2	44
1	22
0	11

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.6b

localize15.0ms

Local error

Found 2 expressions with local error:

1.0b	(fma (+ x y) z (* y x))
19.4b	(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))
2.0ms	(sqrt (fma (+ x y) z (* y x)))

series194.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(fma (+ x y) z (* y x))
156.0ms	(sqrt (fma (+ x y) z (* y x)))

simplify1.0s

Counts

31 → 31

Iterations

Iter	Nodes
done	5002
3	1223
2	247
1	105
0	51

prune222.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 20.5b

localize46.0ms

Local error

Found 4 expressions with local error:

1.0b	(fma (+ x y) z (* y x))
1.0b	(fma (+ x y) z (* y x))
19.4b	(sqrt (fma (+ x y) z (* y x)))
19.4b	(sqrt (fma (+ x y) z (* y x)))

rewrite8.0ms

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

series420.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(fma (+ x y) z (* y x))
36.0ms	(fma (+ x y) z (* y x))
155.0ms	(sqrt (fma (+ x y) z (* y x)))
187.0ms	(sqrt (fma (+ x y) z (* y x)))

simplify1.2s

Counts

62 → 62

Iterations

Iter	Nodes
done	5002
3	1223
2	247
1	105
0	51

prune428.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 20.5b

localize48.0ms

Local error

Found 4 expressions with local error:

19.4b	(sqrt (* (* (cbrt (fma (+ x y) z (* y x))) (cbrt (fma (+ x y) z (* y x)))) (cbrt (fma (+ x y) z (* y x)))))
20.0b	(cbrt (fma (+ x y) z (* y x)))
20.0b	(cbrt (fma (+ x y) z (* y x)))
20.0b	(cbrt (fma (+ x y) z (* y x)))

rewrite29.0ms

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:

24.0ms	(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)))

series1.2s

Counts

4 → 12

Calls

4 calls:

182.0ms	(sqrt (* (* (cbrt (fma (+ x y) z (* y x))) (cbrt (fma (+ x y) z (* y x)))) (cbrt (fma (+ x y) z (* y x)))))
361.0ms	(cbrt (fma (+ x y) z (* y x)))
358.0ms	(cbrt (fma (+ x y) z (* y x)))
277.0ms	(cbrt (fma (+ x y) z (* y x)))

simplify1.0s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
3	1268
2	369
1	188
0	89

prune458.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 20.5b

localize69.0ms

Local error

Found 4 expressions with local error:

19.4b	(sqrt (fma (+ x y) z (* y x)))
19.4b	(sqrt (* (* (* (cbrt (sqrt (fma (+ x y) z (* y x)))) (cbrt (sqrt (fma (+ x y) z (* y x))))) (cbrt (fma (+ x y) z (* y x)))) (cbrt (fma (+ x y) z (* y x)))))
20.0b	(cbrt (fma (+ x y) z (* y x)))
20.0b	(cbrt (fma (+ x y) z (* y x)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

1.0ms	(sqrt (fma (+ x y) z (* y x)))
89.0ms	(sqrt (* (* (* (cbrt (sqrt (fma (+ x y) z (* y x)))) (cbrt (sqrt (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)))

series1.1s

Counts

4 → 12

Calls

4 calls:

186.0ms	(sqrt (fma (+ x y) z (* y x)))
169.0ms	(sqrt (* (* (* (cbrt (sqrt (fma (+ x y) z (* y x)))) (cbrt (sqrt (fma (+ x y) z (* y x))))) (cbrt (fma (+ x y) z (* y x)))) (cbrt (fma (+ x y) z (* y x)))))
377.0ms	(cbrt (fma (+ x y) z (* y x)))
381.0ms	(cbrt (fma (+ x y) z (* y x)))

simplify1.1s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	1340
2	381
1	176
0	85

prune607.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 20.5b

regimes311.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample1.8s

Algorithm

intervals

Results

649.0ms	8000×	body	80	valid
637.0ms	7775×	body	80	nan