Details

sample101.0ms

Algorithm

intervals

Results

39.0ms	256×	body	80	valid
35.0ms	263×	body	80	nan

simplify55.0ms

Counts

1 → 1

Iterations

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

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.2b

localize31.0ms

Local error

Found 3 expressions with local error:

0.8b	(+ (+ (* x y) (* x z)) (* y z))
0.8b	(+ (* x y) (* x z))
19.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`add-sqr-sqrt`
5×	`fma-def` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `sum-log`
3×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `add-exp-log` `sqrt-prod` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `sqrt-div` `distribute-lft-out`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

3 → 54

Calls

3 calls:

56.0ms	(+ (+ (* x y) (* x z)) (* y z))
14.0ms	(+ (* x y) (* x z))
46.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series251.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (+ (* x y) (* x z)) (* y z))
55.0ms	(+ (* x y) (* x z))
160.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify3.0s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
3	4685
2	1022
1	274
0	94

prune396.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 19.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ (* x y) (* x z))
0.8b	(+ (* x y) (* x z))
19.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `rem-sqrt-square` `sum-log` `fma-def` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

4 → 68

Calls

4 calls:

15.0ms	(+ (* x y) (* x z))
15.0ms	(+ (* x y) (* x z))
38.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
39.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series419.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (* x y) (* x z))
53.0ms	(+ (* x y) (* x z))
153.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
150.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify2.7s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
3	3428
2	837
1	234
0	82

prune552.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 19.1b

localize39.0ms

Local error

Found 4 expressions with local error:

19.2b	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
19.8b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.8b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.8b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`sqrt-div`
24×	`pow1`
15×	`sqrt-pow1`
14×	`associate-*l/`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
8×	`associate-*r/`
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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 101

Calls

4 calls:

196.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
13.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
15.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
21.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

133.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
298.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
300.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
293.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify3.2s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
3	2541
2	814
1	377
0	193

prune749.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 19.1b

localize82.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

16.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
14.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
13.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
15.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series1.3s

Counts

4 → 12

Calls

4 calls:

311.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
348.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
328.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
326.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify2.5s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
3	1796
2	499
1	160
0	61

prune746.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 19.1b

regimes445.0ms

Accuracy

0% (0.1b remaining)

Error of 18.8b against oracle of 18.8b and baseline of 18.8b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	11

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.5s	8103×	body	80	nan
1.2s	8000×	body	80	valid