Details

sample693.0ms

Algorithm

intervals

Results

187.0ms	76×	body	5120	valid
155.0ms	436×	body	80	nan
113.0ms	47×	body	2560	valid
53.0ms	196×	body	80	valid
46.0ms	32×	body	1280	valid
46.0ms	22×	body	10240	exit
23.0ms	20×	body	640	valid
7.0ms	8×	body	320	valid
4.0ms	7×	body	160	valid

simplify803.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	3014
2	286
1	60
0	21

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 53.0b

localize75.0ms

Local error

Found 4 expressions with local error:

11.4b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
11.4b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
13.4b	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
28.8b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

rewrite2.5s

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/` `insert-posit16` `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 → 172

Calls

4 calls:

49.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
33.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
372.0ms	(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)))

series1.2s

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
94.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
461.0ms	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
581.0ms	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

simplify1.0s

Counts

184 → 184

Iterations

Iter	Nodes
2	2969
1	717
0	235

prune2.3s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 26.2b

localize8.0ms

Local error

Found 1 expressions with local error:

4.9b	(* (/ c0 w) (/ 0 2))

rewrite17.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 53

Calls

1 calls:

13.0ms

(* (/ c0 w) (/ 0 2))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (/ c0 w) (/ 0 2))

simplify1.8s

Counts

56 → 56

Iterations

Iter	Nodes
4	2867
3	845
2	430
1	272
0	112

prune656.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 24.8b

localize29.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune156.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 24.8b

localize88.0ms

Local error

Found 4 expressions with local error:

11.4b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
11.9b	(* (/ c0 w) (* (/ d D) (/ d D)))
13.4b	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
35.2b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (* (/ c0 w) (* (/ d D) (/ d D))) (/ 1 h)))

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

101×	`add-cbrt-cube` `add-exp-log`
40×	`frac-times`
38×	`prod-exp` `cbrt-unprod`
37×	`add-sqr-sqrt` `cbrt-undiv` `div-exp`
34×	`sqrt-div`
32×	`frac-add`
30×	`associate-*l/`
28×	`associate-*r/`
26×	`times-frac` `associate-l`
23×	`*-un-lft-identity` `add-cube-cbrt`
17×	`flip3--` `flip--`
12×	`pow1`
8×	`associate-r` `sqrt-prod`
7×	`fma-def`
6×	`add-log-exp` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u`
3×	`div-inv`
2×	`un-div-inv` `*-commutative` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`

Counts

4 → 191

Calls

4 calls:

35.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
38.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
419.0ms	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
1.8s	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (* (/ c0 w) (* (/ d D) (/ d D))) (/ 1 h)))

series1.2s

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
114.0ms	(* (/ c0 w) (* (/ d D) (/ d D)))
449.0ms	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
522.0ms	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (* (/ c0 w) (* (/ d D) (/ d D))) (/ 1 h)))

simplify2.4s

Counts

203 → 203

Iterations

Iter	Nodes
2	4902
1	1291
0	398

prune2.7s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 24.8b

regimes1.9s

Accuracy

13.7% (7.0b remaining)

Error of 32.6b against oracle of 25.5b and baseline of 33.7b

bsearch8.0ms

simplify14.0ms

Iterations

Iter	Nodes
2	48
1	48
0	39

end0.0ms

sample21.0s

Algorithm

intervals

Results

5.7s	2284×	body	5120	valid
4.4s	1808×	body	2560	valid
4.0s	12967×	body	80	nan
1.9s	6742×	body	80	valid
1.7s	579×	body	10240	exit
1.3s	873×	body	1280	valid
456.0ms	442×	body	640	valid
161.0ms	228×	body	320	valid
74.0ms	96×	body	160	valid