Details

sample79.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
16.0ms	232×	body	80	nan

simplify98.0ms

Counts

1 → 1

Iterations

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

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.9b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ y z) x)
1.8b	(+ (* z y) (* (+ y z) x))
19.7b	(sqrt (+ (* z y) (* (+ y z) x)))

rewrite74.0ms

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-+` `insert-posit16`
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 → 50

Calls

3 calls:

43.0ms	(* (+ y z) x)
15.0ms	(+ (* z y) (* (+ y z) x))
14.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

series309.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* (+ y z) x)
58.0ms	(+ (* z y) (* (+ y z) x))
208.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

simplify5.8s

Counts

59 → 59

Iterations

Iter	Nodes
done	5004
3	3342
2	773
1	257
0	100

prune790.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 20.5b

localize71.0ms

Local error

Found 4 expressions with local error:

1.8b	(+ (* z y) (* (+ y z) x))
1.8b	(+ (* z y) (* (+ y z) x))
19.7b	(sqrt (+ (* z y) (* (+ y z) x)))
19.7b	(sqrt (+ (* z y) (* (+ y z) x)))

rewrite50.0ms

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-+` `insert-posit16`
2×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

4 → 56

Calls

4 calls:

11.0ms	(+ (* z y) (* (+ y z) x))
15.0ms	(+ (* z y) (* (+ y z) x))
11.0ms	(sqrt (+ (* z y) (* (+ y z) x)))
11.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

series433.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* z y) (* (+ y z) x))
37.0ms	(+ (* z y) (* (+ y z) x))
148.0ms	(sqrt (+ (* z y) (* (+ y z) x)))
210.0ms	(sqrt (+ (* z y) (* (+ y z) x)))

simplify4.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	3020
2	667
1	183
0	66

prune768.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 20.5b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.8b	(+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x)))
19.7b	(sqrt (+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `add-log-exp`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`sqrt-prod`
2×	`flip3-+` `pow1/3` `sqrt-div` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

4 → 52

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
13.0ms	(+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x)))
19.0ms	(sqrt (+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x))))

series1.0s

Counts

4 → 12

Calls

4 calls:

377.0ms	(cbrt x)
318.0ms	(cbrt x)
92.0ms	(+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x)))
251.0ms	(sqrt (+ (* z y) (* (* (+ y z) (* (cbrt x) (cbrt x))) (cbrt x))))

simplify6.7s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	3491
2	715
1	228
0	90

prune1.0s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 20.2b

localize66.0ms

Local error

Found 4 expressions with local error:

15.6b	(cbrt (* (+ y z) x))
15.6b	(cbrt (* (+ y z) x))
15.6b	(cbrt (* (+ y z) x))
19.7b	(sqrt (+ (* z y) (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x)))))

rewrite71.0ms

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-+` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 52

Calls

4 calls:

11.0ms	(cbrt (* (+ y z) x))
10.0ms	(cbrt (* (+ y z) x))
27.0ms	(cbrt (* (+ y z) x))
21.0ms	(sqrt (+ (* z y) (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

308.0ms	(cbrt (* (+ y z) x))
286.0ms	(cbrt (* (+ y z) x))
313.0ms	(cbrt (* (+ y z) x))
203.0ms	(sqrt (+ (* z y) (* (* (cbrt (* (+ y z) x)) (cbrt (* (+ y z) x))) (cbrt (* (+ y z) x)))))

simplify4.5s

Counts

64 → 64

Iterations

Iter	Nodes
done	5002
3	2236
2	737
1	292
0	121

prune1.0s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 20.2b

regimes951.0ms

Accuracy

0% (0.5b remaining)

Error of 19.6b against oracle of 19.1b and baseline of 19.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	15
1	15
0	10

end0.0ms

sample2.0s

Algorithm

intervals

Results

722.0ms	8000×	body	80	valid
512.0ms	8040×	body	80	nan