Details

sample84.0ms

Algorithm

intervals

Results

36.0ms	325×	body	80	valid
17.0ms	264×	body	80	nan

simplify13.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	15	10
2	22	10
3	39	10
4	71	10
5	164	10
6	275	10
7	518	10
8	1912	10
done	5001	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.9b

localize13.0ms

Local error

Found 2 expressions with local error:

2.4b	(- (* y y) (* z z))
25.2b	(sqrt (- (* y y) (* z z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
2×	`add-exp-log` `expm1-log1p-u` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--` `log1p-expm1-u` `difference-of-squares`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff`

Counts

2 → 35

Calls

2 calls:

15.0ms	(- (* y y) (* z z))
21.0ms	(sqrt (- (* y y) (* z z)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(- (* y y) (* z z))
89.0ms	(sqrt (- (* y y) (* z z)))

simplify1.4s

Counts

41 → 41

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	62	456
1	132	412
2	347	361
3	1112	361
done	5001	356

prune189.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (sqrt (+ y z)) (sqrt (- y z)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`sqrt-prod`
12×	`sqrt-div`
9×	`*-un-lft-identity`
8×	`associate-r`
7×	`associate-l`
5×	`pow1` `add-cube-cbrt`
4×	`frac-times` `unswap-sqr`
3×	`add-exp-log` `flip3--` `flip3-+` `pow-prod-down` `add-cbrt-cube` `flip--` `flip-+`
2×	`sqrt-pow1` `pow1/2` `associate-r/` `associate-l/`
1×	`expm1-log1p-u` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 43

Calls

1 calls:

55.0ms

(* (sqrt (+ y z)) (sqrt (- y z)))

series96.0ms

Counts

1 → 3

Calls

1 calls:

96.0ms

(* (sqrt (+ y z)) (sqrt (- y z)))

simplify4.2s

Counts

46 → 46

Iterations

Useful iterations: 4 (2.7s)

Iter	Nodes	Cost
0	97	640
1	200	578
2	513	563
3	1294	561
4	3314	558
done	5001	558

prune209.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.4b

localize8.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune1.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.4b

regimes389.0ms

Accuracy

97.6% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 25.0b

bsearch277.0ms

Steps

Iters	Range		Point
9	-1.2359528117736203e-265	-1.799489011445129e-270	-1.8143615634920972e-270

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	11	11
2	14	11
done	14	11

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	10101×	body	80	valid
719.0ms	9975×	body	80	nan