Details

sample446.0ms

Algorithm

intervals

Results

95.0ms	63×	body	2560	valid
84.0ms	28×	body	1280	valid
81.0ms	76×	body	5120	valid
54.0ms	403×	body	80	nan
29.0ms	202×	body	80	valid
19.0ms	16×	body	10240	exit
6.0ms	10×	body	640	valid
2.0ms	5×	body	320	valid
1.0ms	2×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5042
3	3021
2	286
1	60
0	21

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.3b

localize172.0ms

Local error

Found 4 expressions with local error:

15.4b	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
15.4b	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
15.4b	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
27.2b	(+ (* (* (/ d D) (/ d D)) (/ c0 (* w h))) (sqrt (- (* (* (* (/ d D) (/ d D)) (/ c0 (* w h))) (* (* (/ d D) (/ d D)) (/ c0 (* w h)))) (* M M))))

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

211×	`add-exp-log` `add-cbrt-cube`
96×	`prod-exp` `cbrt-unprod`
66×	`cbrt-undiv` `div-exp`
25×	`frac-times` `associate-*l/`
21×	`associate-r`
19×	`pow1`
15×	`associate-*r/`
14×	`sqrt-div` `frac-add`
13×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `pow-prod-down`
7×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `*-commutative` `div-inv` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

4 → 202

Calls

4 calls:

165.0ms	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
116.0ms	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
115.0ms	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
1.8s	(+ (* (* (/ d D) (/ d D)) (/ c0 (* w h))) (sqrt (- (* (* (* (/ d D) (/ d D)) (/ c0 (* w h))) (* (* (/ d D) (/ d D)) (/ c0 (* w h)))) (* M M))))

series884.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
121.0ms	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
128.0ms	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
498.0ms	(+ (* (* (/ d D) (/ d D)) (/ c0 (* w h))) (sqrt (- (* (* (* (/ d D) (/ d D)) (/ c0 (* w h))) (* (* (/ d D) (/ d D)) (/ c0 (* w h)))) (* M M))))

simplify3.9s

Counts

214 → 214

Iterations

Iter	Nodes
done	5013
2	2982
1	671
0	216

prune1.9s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 27.0b

localize16.0ms

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

prune122.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 27.0b

localize158.0ms

Local error

Found 4 expressions with local error:

15.4b	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
15.4b	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
15.4b	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
27.2b	(+ (* (* (/ d D) (/ d D)) (/ c0 (* w h))) (sqrt (- (* (* (* (/ d D) (/ d D)) (/ c0 (* w h))) (* (* (/ d D) (/ d D)) (/ c0 (* w h)))) (* M M))))

rewrite2.2s

Algorithm

rewrite-expression-head

Rules

211×	`add-exp-log` `add-cbrt-cube`
96×	`prod-exp` `cbrt-unprod`
66×	`cbrt-undiv` `div-exp`
25×	`frac-times` `associate-*l/`
21×	`associate-r`
19×	`pow1`
15×	`associate-*r/`
14×	`sqrt-div` `frac-add`
13×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `pow-prod-down`
7×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `*-commutative` `div-inv` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

4 → 202

Calls

4 calls:

113.0ms	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
99.0ms	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
116.0ms	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
1.8s	(+ (* (* (/ d D) (/ d D)) (/ c0 (* w h))) (sqrt (- (* (* (* (/ d D) (/ d D)) (/ c0 (* w h))) (* (* (/ d D) (/ d D)) (/ c0 (* w h)))) (* M M))))

series868.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
126.0ms	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
126.0ms	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
495.0ms	(+ (* (* (/ d D) (/ d D)) (/ c0 (* w h))) (sqrt (- (* (* (* (/ d D) (/ d D)) (/ c0 (* w h))) (* (* (/ d D) (/ d D)) (/ c0 (* w h)))) (* M M))))

simplify4.0s

Counts

214 → 214

Iterations

Iter	Nodes
done	5013
2	2982
1	671
0	216

prune2.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 27.0b

localize173.0ms

Local error

Found 4 expressions with local error:

11.8b	(sqrt (- (* (* (* (/ d D) (/ d D)) (/ c0 (* w h))) (* (* (/ d D) (/ d D)) (/ c0 (* w h)))) (* M M)))
15.4b	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
15.4b	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
32.3b	(+ (* (/ d D) (* (/ d D) (/ c0 (* w h)))) (sqrt (- (* (* (* (/ d D) (/ d D)) (/ c0 (* w h))) (* (* (/ d D) (/ d D)) (/ c0 (* w h)))) (* M M))))

rewrite3.2s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 162

Calls

4 calls:

1.2s	(sqrt (- (* (* (* (/ d D) (/ d D)) (/ c0 (* w h))) (* (* (/ d D) (/ d D)) (/ c0 (* w h)))) (* M M)))
113.0ms	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
110.0ms	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
1.8s	(+ (* (/ d D) (* (/ d D) (/ c0 (* w h)))) (sqrt (- (* (* (* (/ d D) (/ d D)) (/ c0 (* w h))) (* (* (/ d D) (/ d D)) (/ c0 (* w h)))) (* M M))))

series1.3s

Counts

4 → 12

Calls

4 calls:

450.0ms	(sqrt (- (* (* (* (/ d D) (/ d D)) (/ c0 (* w h))) (* (* (/ d D) (/ d D)) (/ c0 (* w h)))) (* M M)))
126.0ms	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
142.0ms	(* (* (/ d D) (/ d D)) (/ c0 (* w h)))
626.0ms	(+ (* (/ d D) (* (/ d D) (/ c0 (* w h)))) (sqrt (- (* (* (* (/ d D) (/ d D)) (/ c0 (* w h))) (* (* (/ d D) (/ d D)) (/ c0 (* w h)))) (* M M))))

simplify4.1s

Counts

174 → 174

Iterations

Iter	Nodes
done	5000
2	3041
1	717
0	250

prune2.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 25.6b

regimes2.1s

Accuracy

19.3% (5.9b remaining)

Error of 32.1b against oracle of 26.2b and baseline of 33.5b

bsearch20.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	35
1	35
0	28

end17.0ms

sample19.4s

Algorithm

intervals

Results

4.4s	2306×	body	5120	valid
3.7s	12986×	body	80	nan
3.5s	1747×	body	2560	valid
2.7s	6869×	body	80	valid
1.6s	595×	body	10240	exit
727.0ms	853×	body	1280	valid
317.0ms	432×	body	640	valid
302.0ms	223×	body	320	valid
34.0ms	108×	body	160	valid