Details

sample509.0ms

Algorithm

intervals

Results

140.0ms	417×	body	80	nan
105.0ms	72×	body	5120	valid
96.0ms	55×	body	2560	valid
47.0ms	233×	body	80	valid
30.0ms	30×	body	1280	valid
27.0ms	18×	body	10240	exit
11.0ms	14×	body	640	valid
4.0ms	7×	body	320	valid
1.0ms	2×	body	160	valid

simplify961.0ms

Counts: 1 → 1

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 50.3b

localize70.0ms

Local error

Found 4 expressions with local error:

26.9b	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
14.1b	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
9.5b	(/ (* (* c0 (/ d D)) (/ d D)) w)
9.5b	(/ (* (* c0 (/ d D)) (/ d D)) w)

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

Slowest

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))
271.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
51.0ms	(/ (* (* c0 (/ d D)) (/ d D)) w)
48.0ms	(/ (* (* c0 (/ d D)) (/ d D)) w)

series805.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

373.0ms	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
282.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
88.0ms	(/ (* (* c0 (/ d D)) (/ d D)) w)
61.0ms	(/ (* (* c0 (/ d D)) (/ d D)) w)

simplify924.0ms

Counts: 137 → 129

prune2.8s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 26.0b

localize13.0ms

Local error

Found 1 expressions with local error:

5.7b	(* (/ c0 (* w 2)) 0)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
3×	`pow1` `times-frac` `associate-r`
2×	`cbrt-undiv` `div-exp`
1×	`expm1-log1p-u` `mul0` `pow-prod-down` `associate-l/` `-commutative` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`

Counts

1 → 31

Calls

1 calls:

Slowest

37.0ms

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

series3.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

3.0ms

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

simplify665.0ms

Counts: 33 → 34

prune426.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 24.9b

localize1.0ms

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

prune88.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 24.9b

localize85.0ms

Local error

Found 4 expressions with local error:

26.9b	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
26.9b	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
14.1b	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
14.1b	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))

rewrite3.2s

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-prod`
14×	`fma-def` `*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
8×	`sqrt-div` `add-log-exp`
6×	`pow1`
4×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `frac-add` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `difference-of-squares`
2×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out`

Counts

4 → 86

Calls

4 calls:

Slowest

1.4s	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
1.1s	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
368.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
330.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

355.0ms	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
310.0ms	(+ (sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M))) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h))
263.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))
245.0ms	(sqrt (- (* (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h) (/ (/ (* (* c0 (/ d D)) (/ d D)) w) h)) (* M M)))

simplify461.0ms

Counts: 98 → 98

prune1.9s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 24.9b

regimes1.6s

Accuracy

20.1% (6.9b remaining)

Error of 31.8b against oracle of 24.9b and baseline of 33.5b

bsearch17.0ms

end0.0ms

sample20.3s

Algorithm

intervals

Results

5.4s	2328×	body	5120	valid
3.8s	1733×	body	2560	valid
3.5s	13083×	body	80	nan
2.3s	6768×	body	80	valid
1.8s	623×	body	10240	exit
1.2s	884×	body	1280	valid
593.0ms	213×	body	320	valid
426.0ms	445×	body	640	valid
54.0ms	112×	body	160	valid