Details

sample628.0ms

Algorithm

intervals

Results

170.0ms	82×	body	5120	valid
127.0ms	413×	body	80	nan
85.0ms	234×	body	80	valid
73.0ms	53×	body	2560	valid
67.0ms	23×	body	10240	exit
28.0ms	25×	body	1280	valid
14.0ms	14×	body	640	valid
3.0ms	4×	body	320	valid
2.0ms	3×	body	160	valid

simplify813.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	3014
2	286
1	60
0	21

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.4b

localize59.0ms

Local error

Found 4 expressions with local error:

13.0b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
13.0b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
13.0b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
29.0b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

172×	`add-cbrt-cube` `add-exp-log`
72×	`cbrt-undiv` `div-exp`
63×	`add-sqr-sqrt`
60×	`prod-exp` `cbrt-unprod`
48×	`times-frac`
39×	`associate-l`
33×	`*-un-lft-identity` `add-cube-cbrt`
21×	`associate-r`
12×	`unswap-sqr`
10×	`pow1`
7×	`fma-def`
6×	`sqrt-div` `frac-add` `div-inv` `add-log-exp`
5×	`frac-times` `associate-l/` `associate-r/`
4×	`expm1-log1p-u` `sqrt-prod` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `pow-prod-down` `*-commutative` `flip--`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `difference-of-squares`

Counts

4 → 216

Calls

4 calls:

28.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
51.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
57.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
1.7s	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

series933.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
113.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
112.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
598.0ms	(+ (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

228 → 228

Iterations

Iter	Nodes
2	2889
1	696
0	217

prune4.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 27.1b

localize21.0ms

Local error

Found 1 expressions with local error:

5.9b	(* (/ c0 w) (/ 0 2))

rewrite29.0ms

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:

26.0ms

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

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify2.0s

Counts

56 → 56

Iterations

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

prune763.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 25.3b

localize0.0ms

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

prune92.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 25.3b

localize115.0ms

Local error

Found 4 expressions with local error:

13.0b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
29.0b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
29.0b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
29.0b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

rewrite4.8s

Algorithm

rewrite-expression-head

Rules

60×	`add-cbrt-cube` `add-exp-log`
29×	`add-sqr-sqrt`
24×	`cbrt-undiv` `div-exp`
21×	`fma-def`
20×	`prod-exp` `cbrt-unprod`
19×	`*-un-lft-identity` `add-cube-cbrt`
18×	`sqrt-div` `frac-add`
16×	`times-frac`
13×	`associate-l`
12×	`sqrt-prod`
10×	`add-log-exp`
9×	`flip3--` `flip--`
7×	`frac-times` `associate-r` `associate-l/` `associate-r/`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`+-commutative` `sum-log` `flip3-+` `flip-+` `difference-of-squares`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 144

Calls

4 calls:

35.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
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)))
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)))
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)))

series1.8s

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
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)))
587.0ms	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))
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)))

simplify1.0s

Counts

156 → 156

Iterations

Iter	Nodes
2	2889
1	696
0	217

prune3.4s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 25.3b

regimes1.9s

Accuracy

22.3% (6.5b remaining)

Error of 31.3b against oracle of 24.8b and baseline of 33.2b

bsearch8.0ms

simplify10.0ms

Iterations

Iter	Nodes
2	31
1	31
0	25

end0.0ms

sample20.2s

Algorithm

intervals

Results

5.4s	2306×	body	5120	valid
4.1s	13676×	body	80	nan
3.6s	1724×	body	2560	valid
2.7s	6963×	body	80	valid
1.2s	620×	body	10240	exit
1.1s	920×	body	1280	valid
481.0ms	425×	body	640	valid
189.0ms	225×	body	320	valid
81.0ms	113×	body	160	valid