Details

sample563.0ms

Algorithm

intervals

Results

136.0ms	80×	body	5120	valid
109.0ms	395×	body	80	nan
83.0ms	60×	body	2560	valid
71.0ms	205×	body	80	valid
40.0ms	22×	body	10240	exit
40.0ms	19×	body	640	valid
25.0ms	24×	body	1280	valid
6.0ms	9×	body	320	valid
2.0ms	4×	body	160	valid

simplify758.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	3014
2	286
1	60
0	21

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 53.6b

localize53.0ms

Local error

Found 4 expressions with local error:

12.3b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
12.3b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
13.6b	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
29.4b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

rewrite2.1s

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:

56.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
46.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
392.0ms	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
1.6s	(+ (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:

105.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
115.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
492.0ms	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
529.0ms	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

simplify1.3s

Counts

184 → 184

Iterations

Iter	Nodes
2	2969
1	717
0	235

prune3.2s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 25.8b

localize8.0ms

Local error

Found 1 expressions with local error:

4.2b	(* (/ c0 w) (/ 0 2))

rewrite18.0ms

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:

17.0ms

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

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify2.1s

Counts

56 → 56

Iterations

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

prune700.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 24.8b

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
1	0
0	0

prune150.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 24.8b

localize94.0ms

Local error

Found 4 expressions with local error:

12.3b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
12.3b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
13.6b	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
36.6b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (* (/ c0 w) (/ d D)) (/ (/ d D) h)))

rewrite2.1s

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` `insert-posit16` `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 → 180

Calls

4 calls:

38.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
30.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
464.0ms	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
1.5s	(+ (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:

103.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
108.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
479.0ms	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
555.0ms	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (* (/ c0 w) (/ d D)) (/ (/ d D) h)))

simplify1.5s

Counts

192 → 192

Iterations

Iter	Nodes
2	3576
1	906
0	285

prune3.5s

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 24.4b

regimes2.1s

Accuracy

18.4% (6.8b remaining)

Error of 32.3b against oracle of 25.5b and baseline of 33.8b

bsearch5.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	31
1	31
0	25

end0.0ms

sample19.4s

Algorithm

intervals

Results

5.1s	2243×	body	5120	valid
4.5s	13034×	body	80	nan
3.1s	1724×	body	2560	valid
1.9s	6690×	body	80	valid
1.7s	994×	body	1280	valid
1.3s	627×	body	10240	exit
555.0ms	451×	body	640	valid
197.0ms	227×	body	320	valid
48.0ms	99×	body	160	valid