Details

sample90.0ms

Algorithm

intervals

Results

38.0ms	362×	body	80	nan
20.0ms	312×	body	80	valid

simplify9.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4727
8	1408
7	522
6	289
5	163
4	70
3	39
2	22
1	15
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
1.8b	(- (* y y) (* z z))
24.5b	(sqrt (- (* y y) (* z z)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
6×	`pow1`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`sqrt-div`
3×	`expm1-log1p-u` `flip3--` `associate-l` `log1p-expm1-u` `flip--` `difference-of-squares`
2×	`associate-*r/` `unswap-sqr`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 62

Calls

3 calls:

28.0ms	(* x (sqrt (- (* y y) (* z z))))
7.0ms	(- (* y y) (* z z))
9.0ms	(sqrt (- (* y y) (* z z)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(* x (sqrt (- (* y y) (* z z))))
46.0ms	(- (* y y) (* z z))
62.0ms	(sqrt (- (* y y) (* z z)))

simplify2.2s

Counts

71 → 71

Iterations

Iter	Nodes
done	5016
3	2490
2	559
1	203
0	94

prune394.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (sqrt (* (+ y z) (- y z))))
24.5b	(sqrt (* (+ y z) (- y z)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
12×	`associate-*r/`
8×	`frac-times`
7×	`pow1`
6×	`add-sqr-sqrt` `flip3-+` `flip3--` `flip-+` `flip--`
4×	`-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l/` `add-exp-log` `add-cube-cbrt`
3×	`associate-l`
2×	`expm1-log1p-u` `sqrt-pow1` `pow-prod-down` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
1×	`pow1/2` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

41.0ms	(* x (sqrt (* (+ y z) (- y z))))
29.0ms	(sqrt (* (+ y z) (- y z)))

series238.0ms

Counts

2 → 6

Calls

2 calls:

147.0ms	(* x (sqrt (* (+ y z) (- y z))))
91.0ms	(sqrt (* (+ y z) (- y z)))

simplify1.9s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
3	3613
2	738
1	219
0	99

prune346.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune14.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes230.0ms

Accuracy

97.5% (0.6b remaining)

Error of 0.8b against oracle of 0.2b and baseline of 24.4b

bsearch183.0ms

Steps

Iters	Range		Point
10	-2.4472721524300585e-243	-5.228879419247309e-259	-5.361090024927946e-259

simplify3.0ms

Iterations

Iter	Nodes
done	14
2	14
1	11
0	8

end0.0ms

sample2.3s

Algorithm

intervals

Results

951.0ms	10286×	body	80	nan
710.0ms	10130×	body	80	valid