Details

sample355.0ms

Algorithm

intervals

Results

87.0ms	407×	body	80	nan
79.0ms	74×	body	5120	valid
36.0ms	49×	body	2560	valid
24.0ms	218×	body	80	valid
19.0ms	20×	body	10240	exit
15.0ms	28×	body	1280	valid
9.0ms	16×	body	640	valid
4.0ms	11×	body	320	valid
1.0ms	3×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	3419
2	295
1	60
0	21

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 53.7b

localize80.0ms

Local error

Found 4 expressions with local error:

15.6b	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
15.6b	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
15.6b	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
29.2b	(+ (sqrt (- (* (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)) (* (/ (* (/ d D) (/ d D)) h) (/ c0 w))) (* M M))) (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)))

rewrite2.7s

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-r`
33×	`*-un-lft-identity` `add-cube-cbrt`
21×	`associate-l`
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` `log1p-expm1-u`
3×	`flip3--` `pow-prod-down` `*-commutative` `flip--`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `difference-of-squares`

Counts

4 → 212

Calls

4 calls:

44.0ms	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
73.0ms	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
60.0ms	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
2.5s	(+ (sqrt (- (* (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)) (* (/ (* (/ d D) (/ d D)) h) (/ c0 w))) (* M M))) (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)))

series645.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
88.0ms	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
91.0ms	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
382.0ms	(+ (sqrt (- (* (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)) (* (/ (* (/ d D) (/ d D)) h) (/ c0 w))) (* M M))) (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)))

simplify3.1s

Counts

224 → 224

Iterations

Iter	Nodes
done	5000
2	4265
1	718
0	219

prune1.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 27.2b

localize12.0ms

Local error

Found 1 expressions with local error:

5.7b	(* (/ c0 w) 0)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-l`
10×	`times-frac`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`expm1-log1p-u` `cbrt-undiv` `mul0` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

20.0ms

(* (/ c0 w) 0)

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(* (/ c0 w) 0)

simplify2.5s

Counts

38 → 38

Iterations

Iter	Nodes
done	5001
3	3990
2	517
1	169
0	68

prune303.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 25.8b

localize4.0ms

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

prune104.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 25.8b

localize69.0ms

Local error

Found 4 expressions with local error:

14.8b	(* (/ (/ d D) h) (/ c0 w))
15.6b	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
15.6b	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
37.0b	(+ (sqrt (- (* (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)) (* (/ (* (/ d D) (/ d D)) h) (/ c0 w))) (* M M))) (* (/ (/ d D) 1) (* (/ (/ d D) h) (/ c0 w))))

rewrite2.4s

Algorithm

rewrite-expression-head

Rules

137×	`add-cbrt-cube` `add-exp-log`
116×	`times-frac`
107×	`add-sqr-sqrt`
66×	`*-un-lft-identity` `add-cube-cbrt`
57×	`cbrt-undiv` `div-exp` `associate-l`
46×	`prod-exp` `cbrt-unprod`
39×	`associate-r`
14×	`sqrt-div` `frac-add` `unswap-sqr`
13×	`frac-times` `associate-*r/`
10×	`pow1`
9×	`associate-*l/` `div-inv`
7×	`fma-def` `flip3--` `flip--`
6×	`add-log-exp`
4×	`expm1-log1p-u` `sqrt-prod` `log1p-expm1-u`
3×	`pow-prod-down` `*-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `difference-of-squares`

Counts

4 → 246

Calls

4 calls:

56.0ms	(* (/ (/ d D) h) (/ c0 w))
68.0ms	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
67.0ms	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
2.2s	(+ (sqrt (- (* (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)) (* (/ (* (/ d D) (/ d D)) h) (/ c0 w))) (* M M))) (* (/ (/ d D) 1) (* (/ (/ d D) h) (/ c0 w))))

series586.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (/ (/ d D) h) (/ c0 w))
94.0ms	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
96.0ms	(* (/ (* (/ d D) (/ d D)) h) (/ c0 w))
326.0ms	(+ (sqrt (- (* (* (/ (* (/ d D) (/ d D)) h) (/ c0 w)) (* (/ (* (/ d D) (/ d D)) h) (/ c0 w))) (* M M))) (* (/ (/ d D) 1) (* (/ (/ d D) h) (/ c0 w))))

simplify1.5s

Counts

258 → 258

Iterations

Iter	Nodes
done	5001
1	1435
0	403

prune2.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 25.8b

regimes1.6s

Accuracy

16.1% (7.4b remaining)

Error of 32.3b against oracle of 24.8b and baseline of 33.7b

bsearch5.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	32
1	32
0	26

end0.0ms

sample13.7s

Algorithm

intervals

Results

3.5s	12935×	body	80	nan
3.0s	2359×	body	5120	valid
2.2s	1701×	body	2560	valid
1.0s	6729×	body	80	valid
748.0ms	608×	body	10240	exit
655.0ms	877×	body	1280	valid
245.0ms	468×	body	640	valid
78.0ms	231×	body	320	valid
23.0ms	102×	body	160	valid