Details

sample41.0ms

Algorithm

intervals

Results

13.0ms	267×	body	80	nan
11.0ms	256×	body	80	valid

simplify22.0ms

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

localize14.0ms

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)))

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:

16.0ms	(* (+ y z) x)
7.0ms	(+ (* z y) (* (+ y z) x))
16.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* (+ y z) x)
24.0ms	(+ (* z y) (* (+ y z) x))
111.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

simplify2.8s

Counts

56 → 56

Iterations

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

prune360.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 18.5b

localize50.0ms

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)))

rewrite31.0ms

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:

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

series374.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* z y) (* (+ y z) x))
35.0ms	(+ (* z y) (* (+ y z) x))
138.0ms	(sqrt (+ (* z y) (* (+ y z) x)))
164.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

simplify2.0s

Counts

64 → 64

Iterations

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

prune380.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 18.5b

localize48.0ms

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)))))

rewrite44.0ms

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:

9.0ms	(cbrt (* (+ y z) x))
10.0ms	(cbrt (* (+ y z) x))
14.0ms	(cbrt (* (+ y z) x))
10.0ms	(sqrt (+ (* z y) (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x)))))

series524.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (* (+ y z) x))
145.0ms	(cbrt (* (+ y z) x))
134.0ms	(cbrt (* (+ y z) x))
125.0ms	(sqrt (+ (* z y) (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x)))))

simplify1.7s

Counts

60 → 60

Iterations

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

prune483.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 18.5b

localize61.0ms

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)))))))

rewrite80.0ms

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:

5.0ms	(cbrt (* (+ y z) x))
5.0ms	(cbrt (* (+ y z) x))
56.0ms	(cbrt (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x))))
9.0ms	(sqrt (+ (* z y) (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x)))))))

series604.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (* (+ y z) x))
184.0ms	(cbrt (* (+ y z) x))
141.0ms	(cbrt (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x))))
143.0ms	(sqrt (+ (* z y) (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x)))))))

simplify1.9s

Counts

85 → 85

Iterations

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

prune731.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 18.5b

regimes299.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	10

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s	7932×	body	80	nan
666.0ms	8000×	body	80	valid