Details

sample87.0ms

Algorithm

intervals

Results

30.0ms	240×	body	80	nan
20.0ms	256×	body	80	valid

simplify37.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	43
4	43
3	42
2	33
1	21
0	11

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize19.0ms

Local error

Found 3 expressions with local error:

0.8b	(+ (* x y) (* x z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
16.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 40

Calls

3 calls:

12.0ms	(+ (* x y) (* x z))
46.0ms	(+ (+ (* x y) (* x z)) (* y z))
35.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series642.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* x y) (* x z))
42.0ms	(+ (+ (* x y) (* x z)) (* y z))
539.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify628.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	986
1	249
0	85

prune339.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 17.5b

localize38.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* x (+ y z)) (* z y))
1.0b	(+ (* x (+ y z)) (* z y))
16.6b	(sqrt (+ (* x (+ y z)) (* z y)))
16.6b	(sqrt (+ (* x (+ y z)) (* z y)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`associate-+l+` `flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+`
2×	`distribute-rgt-in` `+-commutative` `rem-sqrt-square` `sum-log` `distribute-lft-in` `sqrt-pow1` `pow1/2`

Counts

4 → 56

Calls

4 calls:

20.0ms	(+ (* x (+ y z)) (* z y))
12.0ms	(+ (* x (+ y z)) (* z y))
12.0ms	(sqrt (+ (* x (+ y z)) (* z y)))
22.0ms	(sqrt (+ (* x (+ y z)) (* z y)))

series366.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (* x (+ y z)) (* z y))
38.0ms	(+ (* x (+ y z)) (* z y))
136.0ms	(sqrt (+ (* x (+ y z)) (* z y)))
167.0ms	(sqrt (+ (* x (+ y z)) (* z y)))

simplify668.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
2	695
1	184
0	67

prune532.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 17.5b

localize73.0ms

Local error

Found 4 expressions with local error:

16.6b	(sqrt (* (* (cbrt (+ (* x z) (* y (+ x z)))) (cbrt (+ (* x z) (* y (+ x z))))) (cbrt (+ (* x z) (* y (+ x z))))))
17.1b	(cbrt (+ (* x z) (* y (+ x z))))
17.1b	(cbrt (+ (* x z) (* y (+ x z))))
17.1b	(cbrt (+ (* x z) (* y (+ x z))))

rewrite91.0ms

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×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 89

Calls

4 calls:

69.0ms	(sqrt (* (* (cbrt (+ (* x z) (* y (+ x z)))) (cbrt (+ (* x z) (* y (+ x z))))) (cbrt (+ (* x z) (* y (+ x z))))))
4.0ms	(cbrt (+ (* x z) (* y (+ x z))))
4.0ms	(cbrt (+ (* x z) (* y (+ x z))))
10.0ms	(cbrt (+ (* x z) (* y (+ x z))))

series1.1s

Counts

4 → 12

Calls

4 calls:

148.0ms	(sqrt (* (* (cbrt (+ (* x z) (* y (+ x z)))) (cbrt (+ (* x z) (* y (+ x z))))) (cbrt (+ (* x z) (* y (+ x z))))))
322.0ms	(cbrt (+ (* x z) (* y (+ x z))))
337.0ms	(cbrt (+ (* x z) (* y (+ x z))))
317.0ms	(cbrt (+ (* x z) (* y (+ x z))))

simplify1.8s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
3	3540
2	804
1	376
0	186

prune825.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 17.5b

localize122.0ms

Local error

Found 4 expressions with local error:

17.1b	(cbrt (+ (* x z) (* y (+ x z))))
17.1b	(cbrt (+ (* x (+ z y)) (* y z)))
17.1b	(cbrt (+ (* x (+ z y)) (* y z)))
17.1b	(cbrt (+ (* x (+ z y)) (* y z)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt (+ (* x z) (* y (+ x z))))
11.0ms	(cbrt (+ (* x (+ z y)) (* y z)))
10.0ms	(cbrt (+ (* x (+ z y)) (* y z)))
13.0ms	(cbrt (+ (* x (+ z y)) (* y z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

279.0ms	(cbrt (+ (* x z) (* y (+ x z))))
331.0ms	(cbrt (+ (* x (+ z y)) (* y z)))
325.0ms	(cbrt (+ (* x (+ z y)) (* y z)))
288.0ms	(cbrt (+ (* x (+ z y)) (* y z)))

simplify1.9s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
3	3874
2	791
1	231
0	86

prune973.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 17.5b

regimes685.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	11

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
600.0ms	7924×	body	80	nan