Details

sample64.0ms

Algorithm

intervals

Results

15.0ms	267×	body	80	nan
15.0ms	256×	body	80	valid

simplify31.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	42
4	42
3	41
2	32
1	21
0	11

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.7b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ y z) x)
1.4b	(+ (* z y) (* (+ y z) x))
17.7b	(sqrt (+ (* z y) (* (+ y z) x)))

rewrite45.0ms

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:

30.0ms	(* (+ y z) x)
7.0ms	(+ (* z y) (* (+ y z) x))
6.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

series188.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* (+ y z) x)
31.0ms	(+ (* z y) (* (+ y z) x))
124.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

simplify2.2s

Counts

56 → 56

Iterations

Iter	Nodes
done	5002
3	3278
2	769
1	254
0	97

prune303.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 18.5b

localize37.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* z y) (* (+ y z) x))
1.4b	(+ (* z y) (* (+ y z) x))
17.7b	(sqrt (+ (* z y) (* (+ y z) x)))
17.7b	(sqrt (+ (* z y) (* (+ y z) x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

12.0ms	(+ (* z y) (* (+ y z) x))
8.0ms	(+ (* z y) (* (+ y z) x))
7.0ms	(sqrt (+ (* z y) (* (+ y z) x)))
6.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

series349.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* z y) (* (+ y z) x))
30.0ms	(+ (* z y) (* (+ y z) x))
148.0ms	(sqrt (+ (* z y) (* (+ y z) x)))
135.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

simplify2.0s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
3	3233
2	682
1	180
0	64

prune594.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 18.5b

localize43.0ms

Local error

Found 4 expressions with local error:

13.5b	(cbrt (* (+ y z) x))
13.5b	(cbrt (* (+ y z) x))
13.5b	(cbrt (* (+ y z) x))
17.7b	(sqrt (+ (* z y) (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `cbrt-div` `associate-*l/`
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:

11.0ms	(cbrt (* (+ y z) x))
6.0ms	(cbrt (* (+ y z) x))
6.0ms	(cbrt (* (+ y z) x))
7.0ms	(sqrt (+ (* z y) (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x)))))

series640.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (* (+ y z) x))
163.0ms	(cbrt (* (+ y z) x))
178.0ms	(cbrt (* (+ y z) x))
151.0ms	(sqrt (+ (* z y) (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x)))))

simplify1.9s

Counts

60 → 60

Iterations

Iter	Nodes
done	5004
3	2209
2	735
1	290
0	119

prune583.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 18.5b

localize99.0ms

Local error

Found 4 expressions with local error:

13.5b	(cbrt (* (+ y z) x))
13.5b	(cbrt (* (+ y z) x))
13.5b	(cbrt (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x))))
17.7b	(sqrt (+ (* z y) (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x)))))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

84×	`cbrt-div`
72×	`associate-*l/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
8×	`associate-*r/`
6×	`add-sqr-sqrt`
5×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow3` `rem-cbrt-cube`

Counts

4 → 73

Calls

4 calls:

7.0ms	(cbrt (* (+ y z) x))
6.0ms	(cbrt (* (+ y z) x))
39.0ms	(cbrt (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x))))
7.0ms	(sqrt (+ (* z y) (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x)))))))

series636.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (* (+ y z) x))
155.0ms	(cbrt (* (+ y z) x))
170.0ms	(cbrt (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x))))
166.0ms	(sqrt (+ (* z y) (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x)))))))

simplify1.8s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
3	2246
2	934
1	425
0	215

prune718.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 18.5b

regimes288.0ms

Accuracy

0% (0.3b remaining)

Error of 20.0b against oracle of 19.7b and baseline of 20.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	10

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	7932×	body	80	nan
619.0ms	8000×	body	80	valid