Details

sample373.0ms

Algorithm

intervals

Results

71.0ms	213×	body	80	valid
66.0ms	67×	body	5120	valid
52.0ms	420×	body	80	nan
48.0ms	57×	body	2560	valid
44.0ms	40×	body	1280	valid
14.0ms	14×	body	10240	exit
7.0ms	14×	body	640	valid
2.0ms	7×	body	320	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5011
3	3014
2	286
1	60
0	21

prune40.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 55.3b

localize79.0ms

Local error

Found 4 expressions with local error:

14.3b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
14.3b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
14.6b	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
25.7b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

rewrite2.7s

Algorithm

rewrite-expression-head

Rules

116×	`add-cbrt-cube` `add-exp-log`
48×	`cbrt-undiv` `div-exp`
46×	`add-sqr-sqrt`
40×	`prod-exp` `cbrt-unprod`
32×	`times-frac`
26×	`associate-l`
25×	`*-un-lft-identity` `add-cube-cbrt`
14×	`associate-r`
9×	`pow1`
8×	`sqrt-div` `sqrt-prod` `unswap-sqr`
7×	`fma-def`
6×	`frac-add` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `flip3--` `associate-l/` `associate-r/` `log1p-expm1-u` `div-inv` `flip--`
2×	`pow-prod-down` `*-commutative` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`

Counts

4 → 168

Calls

4 calls:

73.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
45.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
517.0ms	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
2.0s	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

series1.4s

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
101.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
568.0ms	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
627.0ms	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

simplify2.2s

Counts

180 → 180

Iterations

Iter	Nodes
done	5042
2	3035
1	715
0	232

prune1.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 31.3b

localize7.0ms

Local error

Found 1 expressions with local error:

6.9b	(* (/ c0 w) (/ 0 2.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`times-frac`
15×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`pow1`
2×	`div-inv`
1×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 52

Calls

1 calls:

20.0ms

(* (/ c0 w) (/ 0 2.0))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (/ c0 w) (/ 0 2.0))

simplify8.0s

Counts

55 → 55

Iterations

Iter	Nodes
done	5002
3	1155
2	457
1	276
0	111

prune439.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 29.1b

localize1.0ms

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

prune124.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 29.1b

localize73.0ms

Local error

Found 4 expressions with local error:

14.3b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
14.3b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
14.6b	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
34.3b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (* (/ c0 w) (/ d D)) (/ (/ d D) h)))

rewrite2.7s

Algorithm

rewrite-expression-head

Rules

116×	`add-cbrt-cube` `add-exp-log`
48×	`cbrt-undiv` `div-exp`
46×	`add-sqr-sqrt`
40×	`prod-exp` `cbrt-unprod`
32×	`times-frac`
26×	`associate-l`
25×	`*-un-lft-identity` `add-cube-cbrt`
16×	`sqrt-div`
14×	`associate-r` `frac-add`
12×	`frac-times` `associate-*l/`
9×	`pow1`
8×	`flip3--` `associate-*r/` `sqrt-prod` `flip--` `unswap-sqr`
7×	`fma-def`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv`
2×	`pow-prod-down` `*-commutative` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`

Counts

4 → 176

Calls

4 calls:

48.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
68.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
543.0ms	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
2.0s	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (* (/ c0 w) (/ d D)) (/ (/ d D) h)))

series1.5s

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
153.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
579.0ms	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
639.0ms	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (* (/ c0 w) (/ d D)) (/ (/ d D) h)))

simplify3.2s

Counts

188 → 188

Iterations

Iter	Nodes
done	5000
2	3653
1	901
0	282

prune1.3s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 28.4b

regimes1.8s

Accuracy

0% (8.0b remaining)

Error of 33.7b against oracle of 25.7b and baseline of 33.7b

bsearch0.0ms

simplify0.0ms

Iterations

Iter	Nodes
done	1
0	1

end0.0ms

sample13.9s

Algorithm

intervals

Results

4.2s	2304×	body	5120	valid
2.6s	13349×	body	80	nan
1.7s	1786×	body	2560	valid
1.3s	602×	body	10240	exit
1.1s	967×	body	1280	valid
1.0s	6868×	body	80	valid
293.0ms	400×	body	640	valid
86.0ms	230×	body	320	valid
27.0ms	115×	body	160	valid