Details

sample556.0ms

Algorithm

intervals

Results

173.0ms	71×	body	5120	valid
98.0ms	461×	body	80	nan
75.0ms	55×	body	2560	valid
48.0ms	223×	body	80	valid
37.0ms	18×	body	10240	exit
34.0ms	16×	body	640	valid
30.0ms	25×	body	1280	valid
3.0ms	5×	body	320	valid
3.0ms	7×	body	160	valid

simplify760.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	3014
2	286
1	60
0	21

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 51.0b

localize70.0ms

Local error

Found 4 expressions with local error:

13.4b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
13.4b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
13.4b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
29.1b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

rewrite1.4s

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` `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:

25.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
31.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
50.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
1.3s	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

series967.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
107.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
134.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
608.0ms	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)))

simplify1.1s

Counts

224 → 224

Iterations

Iter	Nodes
2	2877
1	695
0	215

prune4.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 30.0b

localize16.0ms

Local error

Found 1 expressions with local error:

6.7b	(* (/ c0 w) (/ 0 2))

rewrite23.0ms

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

Counts

1 → 52

Calls

1 calls:

22.0ms

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

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify2.0s

Counts

55 → 55

Iterations

Iter	Nodes
4	2865
3	862
2	447
1	271
0	111

prune756.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 28.6b

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

prune107.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 28.6b

localize91.0ms

Local error

Found 4 expressions with local error:

13.2b	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
13.4b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
13.4b	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
33.2b	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* c0 (/ (/ (* (/ d D) (/ d D)) h) w)))

rewrite1.9s

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-prod` `unswap-sqr`
7×	`fma-def`
6×	`add-log-exp`
4×	`expm1-log1p-u` `sqrt-div` `associate-*r/` `log1p-expm1-u` `div-inv`
2×	`frac-times` `flip3--` `pow-prod-down` `associate-l/` `frac-add` `-commutative` `flip--` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`

Counts

4 → 164

Calls

4 calls:

360.0ms	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
49.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
47.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
1.4s	(+ (sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M))) (* c0 (/ (/ (* (/ d D) (/ d D)) h) w)))

series1.3s

Counts

4 → 12

Calls

4 calls:

471.0ms	(sqrt (- (* (* (/ c0 w) (/ (* (/ d D) (/ d D)) h)) (* (/ c0 w) (/ (* (/ d D) (/ d D)) h))) (* M M)))
133.0ms	(* (/ c0 w) (/ (* (/ d D) (/ d D)) h))
109.0ms	(* (/ 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 (/ (/ (* (/ d D) (/ d D)) h) w)))

simplify1.0s

Counts

176 → 176

Iterations

Iter	Nodes
2	3088
1	681
0	220

prune3.3s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 28.6b

regimes1.5s

Accuracy

17.5% (7.0b remaining)

Error of 32.4b against oracle of 25.4b and baseline of 33.9b

bsearch4.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	31
1	31
0	25

end0.0ms

sample18.3s

Algorithm

intervals

Results

4.6s	12974×	body	80	nan
4.4s	2272×	body	5120	valid
3.1s	1747×	body	2560	valid
1.6s	6840×	body	80	valid
1.2s	577×	body	10240	exit
1.2s	925×	body	1280	valid
856.0ms	440×	body	640	valid
127.0ms	208×	body	320	valid
50.0ms	119×	body	160	valid