Details

sample648.0ms

Algorithm

intervals

Results

194.0ms	77×	body	5120	valid
137.0ms	382×	body	80	nan
92.0ms	55×	body	2560	valid
56.0ms	207×	body	80	valid
53.0ms	24×	body	10240	exit
41.0ms	29×	body	1280	valid
18.0ms	17×	body	640	valid
4.0ms	5×	body	320	valid

simplify959.0ms

Counts: 1 → 1

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 53.5b

localize82.0ms

Local error

Found 4 expressions with local error:

28.2b	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
12.6b	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
9.4b	(* (/ c0 (* w 2)) (+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)))
8.1b	(/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)

rewrite4.2s

Algorithm

rewrite-expression-head

Rules

51×	`add-cbrt-cube` `add-exp-log`
36×	`times-frac`
30×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
22×	`cbrt-undiv` `div-exp`
14×	`prod-exp` `cbrt-unprod`
8×	`sqrt-div` `sqrt-prod`
7×	`pow1` `fma-def` `associate-l` `associate-/l*`
6×	`frac-add` `div-inv` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `flip3--` `associate-r` `associate-*r/` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`associate-/r*` `flip3-+` `flip-+`
2×	`distribute-lft-out` `difference-of-squares`
1×	`distribute-rgt-in` `+-commutative` `rem-sqrt-square` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`

Counts

4 → 145

Calls

4 calls:

Slowest

2.6s	(* (/ c0 (* w 2)) (+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)))
1.2s	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
302.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
28.0ms	(/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

698.0ms	(* (/ c0 (* w 2)) (+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)))
332.0ms	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
286.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
118.0ms	(/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)

simplify2.5s

Counts: 157 → 157

prune4.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 23.1b

localize0.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts: 0 → 0

prune104.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 23.1b

localize94.0ms

Local error

Found 4 expressions with local error:

28.2b	(+ (/ (* (* (/ d D) c0) (/ d D)) (* w h)) (sqrt (* (+ (/ (* (* (/ d D) c0) (/ d D)) (* w h)) M) (- (/ (* (* (/ d D) c0) (/ d D)) (* w h)) M))))
13.7b	(/ (* (* (/ d D) c0) (/ d D)) (* w h))
13.7b	(/ (* (* (/ d D) c0) (/ d D)) (* w h))
13.7b	(/ (* (* (/ d D) c0) (/ d D)) (* w h))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

199×	`add-cbrt-cube` `add-exp-log`
81×	`prod-exp` `cbrt-unprod`
72×	`cbrt-undiv` `div-exp`
11×	`associate-*l/`
9×	`associate-/l/`
8×	`sqrt-div` `frac-add`
7×	`frac-times` `*-un-lft-identity`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `fma-def` `associate-*r/` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3-+` `times-frac` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv`
3×	`clear-num` `associate-/r` `frac-2neg` `flip3--` `flip--` `associate-/l`
1×	`+-commutative` `sum-log` `distribute-lft-out`

Counts

4 → 169

Calls

4 calls:

Slowest

46.0ms	(/ (* (* (/ d D) c0) (/ d D)) (* w h))
46.0ms	(/ (* (* (/ d D) c0) (/ d D)) (* w h))
46.0ms	(+ (/ (* (* (/ d D) c0) (/ d D)) (* w h)) (sqrt (* (+ (/ (* (* (/ d D) c0) (/ d D)) (* w h)) M) (- (/ (* (* (/ d D) c0) (/ d D)) (* w h)) M))))
31.0ms	(/ (* (* (/ d D) c0) (/ d D)) (* w h))

series578.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

313.0ms	(+ (/ (* (* (/ d D) c0) (/ d D)) (* w h)) (sqrt (* (+ (/ (* (* (/ d D) c0) (/ d D)) (* w h)) M) (- (/ (* (* (/ d D) c0) (/ d D)) (* w h)) M))))
96.0ms	(/ (* (* (/ d D) c0) (/ d D)) (* w h))
95.0ms	(/ (* (* (/ d D) c0) (/ d D)) (* w h))
74.0ms	(/ (* (* (/ d D) c0) (/ d D)) (* w h))

simplify1.5s

Counts: 181 → 181

prune4.0s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 22.3b

localize81.0ms

Local error

Found 4 expressions with local error:

28.2b	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
12.6b	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
8.1b	(/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)
8.1b	(/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

80×	`add-cbrt-cube` `add-exp-log`
66×	`times-frac`
41×	`*-un-lft-identity`
40×	`add-sqr-sqrt` `cbrt-undiv` `div-exp`
39×	`add-cube-cbrt`
20×	`prod-exp` `cbrt-unprod`
14×	`associate-/l*`
10×	`div-inv`
8×	`sqrt-prod`
7×	`fma-def`
6×	`associate-/r*` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `sqrt-div` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `flip3--` `frac-add` `flip--` `difference-of-squares` `associate-/l/`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out`

Counts

4 → 165

Calls

4 calls:

Slowest

1.1s	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
355.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
54.0ms	(/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)
52.0ms	(/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)

series786.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

343.0ms	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
264.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
103.0ms	(/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)
77.0ms	(/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)

simplify1.2s

Counts: 177 → 177

prune4.3s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 22.1b

regimes1.8s

Accuracy

-11% (11.0b remaining)

Error of 34.3b against oracle of 23.3b and baseline of 33.3b

bsearch715.0ms

end0.0ms

sample23.0s

Algorithm

intervals

Results

6.2s	2333×	body	5120	valid
4.9s	13329×	body	80	nan
3.8s	1804×	body	2560	valid
3.0s	6881×	body	80	valid
1.5s	581×	body	10240	exit
1.5s	934×	body	1280	valid
595.0ms	477×	body	640	valid
172.0ms	186×	body	320	valid
81.0ms	102×	body	160	valid