Details

sample56.0ms

Algorithm

intervals

Results

15.0ms	265×	body	80	nan
14.0ms	256×	body	80	valid

simplify38.0ms

Counts

1 → 1

Iterations

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ y z) x)
1.8b	(+ (* z y) (* (+ y z) x))
21.8b	(sqrt (+ (* z y) (* (+ y z) x)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`pow1` `add-cube-cbrt`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`associate-l`
3×	`flip3-+` `associate-r` `sqrt-prod` `flip-+`
2×	`sqrt-div` `associate-*l/`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 47

Calls

3 calls:

23.0ms	(* (+ y z) x)
7.0ms	(+ (* z y) (* (+ y z) x))
8.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

series272.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (+ y z) x)
40.0ms	(+ (* z y) (* (+ y z) x))
191.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

simplify562.0ms

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
2	1030
1	254
0	97

prune370.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 22.6b

localize37.0ms

Local error

Found 2 expressions with local error:

2.2b	(+ (* z (+ y x)) (* x y))
21.8b	(sqrt (+ (* z (+ y x)) (* x y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

11.0ms	(+ (* z (+ y x)) (* x y))
24.0ms	(sqrt (+ (* z (+ y x)) (* x y)))

series204.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (* z (+ y x)) (* x y))
178.0ms	(sqrt (+ (* z (+ y x)) (* x y)))

simplify557.0ms

Counts

34 → 34

Iterations

Iter	Nodes
done	5000
2	689
1	184
0	66

prune253.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 22.6b

localize25.0ms

Local error

Found 4 expressions with local error:

17.9b	(cbrt (* x (+ z y)))
17.9b	(cbrt (* x (+ z y)))
17.9b	(cbrt (* x (+ z y)))
21.8b	(sqrt (+ (* z y) (* (* (cbrt (* x (+ z y))) (cbrt (* x (+ z y)))) (cbrt (* x (+ z y))))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `cbrt-div` `associate-*r/`
5×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 48

Calls

4 calls:

12.0ms	(cbrt (* x (+ z y)))
17.0ms	(cbrt (* x (+ z y)))
6.0ms	(cbrt (* x (+ z y)))
6.0ms	(sqrt (+ (* z y) (* (* (cbrt (* x (+ z y))) (cbrt (* x (+ z y)))) (cbrt (* x (+ z y))))))

series634.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt (* x (+ z y)))
175.0ms	(cbrt (* x (+ z y)))
163.0ms	(cbrt (* x (+ z y)))
135.0ms	(sqrt (+ (* z y) (* (* (cbrt (* x (+ z y))) (cbrt (* x (+ z y)))) (cbrt (* x (+ z y))))))

simplify1.2s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
3	2531
2	654
1	257
0	101

prune450.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 22.6b

localize25.0ms

Local error

Found 4 expressions with local error:

1.8b	(+ (* x (+ y z)) (* z y))
1.8b	(+ (* x (+ y z)) (* z y))
21.8b	(sqrt (+ (* x (+ y z)) (* z y)))
21.8b	(sqrt (+ (* x (+ y z)) (* z y)))

rewrite96.0ms

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:

25.0ms	(+ (* x (+ y z)) (* z y))
20.0ms	(+ (* x (+ y z)) (* z y))
25.0ms	(sqrt (+ (* x (+ y z)) (* z y)))
23.0ms	(sqrt (+ (* x (+ y z)) (* z y)))

series384.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (* x (+ y z)) (* z y))
38.0ms	(+ (* x (+ y z)) (* z y))
178.0ms	(sqrt (+ (* x (+ y z)) (* z y)))
125.0ms	(sqrt (+ (* x (+ y z)) (* z y)))

simplify728.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
2	695
1	184
0	67

prune433.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 22.6b

regimes251.0ms

Accuracy

0% (0.3b remaining)

Error of 20.2b against oracle of 19.9b and baseline of 20.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	21
2	21
1	20
0	12

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
773.0ms	7895×	body	80	nan