Details

sample511.0ms

Algorithm

intervals

Results

98.0ms	60×	body	5120	valid
94.0ms	432×	body	80	nan
72.0ms	55×	body	2560	valid
65.0ms	206×	body	80	valid
53.0ms	29×	body	1280	valid
36.0ms	8×	body	320	valid
29.0ms	18×	body	10240	exit
21.0ms	23×	body	640	valid
2.0ms	4×	body	160	valid

simplify975.0ms

Calls

1 calls:

Slowest

975.0ms

(* (/ c0 (* 2 w)) (+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M)))))

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 47.9b

localize44.0ms

Local error

Found 4 expressions with local error:

23.3b	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))
16.3b	(sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M)))
15.5b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
15.5b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))

rewrite375.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `add-cbrt-cube` `sqrt-div` `associate-r` `associate-l` `add-exp-log` `sqrt-prod`
7×	`fma-def`
6×	`frac-add` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `flip3--` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `flip3-+` `pow1/2` `flip-+`

Calls

4 calls:

Slowest

275.0ms	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))
68.0ms	(sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M)))
15.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
15.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))

series728.0ms

Calls

4 calls:

Slowest

338.0ms	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))
246.0ms	(sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M)))
74.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
70.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))

simplify11.8s

Calls

62 calls:

Slowest

897.0ms	(+ (* (sqrt (- (pow (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) 3) (pow (* M M) 3))) (* h w)) (* (sqrt (+ (* (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))) (+ (* (* M M) (* M M)) (* (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))))) (* c0 (* (/ d D) (/ d D)))))
765.0ms	(+ (* (sqrt (- (pow (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) 3) (pow (* M M) 3))) h) (* (sqrt (+ (* (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))) (+ (* (* M M) (* M M)) (* (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))))) (* c0 (/ (* (/ d D) (/ d D)) w))))
717.0ms	(+ (* (sqrt (- (pow (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) 3) (pow (* M M) 3))) w) (* (sqrt (+ (* (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))) (+ (* (* M M) (* M M)) (* (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))))) (* (/ c0 h) (* (/ d D) (/ d D)))))
550.0ms	(* (sqrt (+ (* (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))) (+ (* (* M M) (* M M)) (* (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))))) w)
520.0ms	(* (sqrt (+ (* (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))) (+ (* (* M M) (* M M)) (* (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))))) (* h w))

prune1.8s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 26.6b

localize10.0ms

Local error

Found 1 expressions with local error:

4.2b	(* (/ c0 w) 0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-l`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `mul0` `associate-l/` `add-exp-log` `-commutative` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Calls

1 calls:

Slowest

5.0ms

(* (/ c0 w) 0)

series3.0ms

Calls

1 calls:

Slowest

3.0ms

(* (/ c0 w) 0)

simplify27.0ms

Calls

6 calls:

Slowest

8.0ms	(sqrt (/ c0 w))
7.0ms	(* (cbrt (/ c0 w)) (cbrt (/ c0 w)))
5.0ms	(* c0 0)
2.0ms	0
1.0ms	0

prune385.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.5b

localize5.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Calls

0 calls:

Slowest

series0.0ms

Calls

0 calls:

Slowest

simplify0.0ms

Calls

0 calls:

Slowest

prune91.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 25.5b

localize46.0ms

Local error

Found 4 expressions with local error:

23.3b	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))
23.3b	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))
23.3b	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))
16.3b	(sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M)))

rewrite896.0ms

Algorithm

rewrite-expression-head

Rules

21×	`fma-def`
20×	`sqrt-div`
18×	`frac-add`
16×	`sqrt-prod`
12×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`flip3--` `flip--` `add-log-exp`
6×	`frac-times` `associate-l/` `associate-r/`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
3×	`+-commutative` `sum-log` `flip3-+` `flip-+`
1×	`rem-sqrt-square` `pow1/2`

Calls

4 calls:

Slowest

282.0ms	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))
265.0ms	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))
244.0ms	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))
103.0ms	(sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M)))

series1.3s

Calls

4 calls:

Slowest

355.0ms	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))
344.0ms	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))
344.0ms	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))
253.0ms	(sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M)))

simplify22.5s

Calls

76 calls:

Slowest

835.0ms	(+ (* (sqrt (- (pow (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) 3) (pow (* M M) 3))) (* h w)) (* (sqrt (+ (* (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))) (+ (* (* M M) (* M M)) (* (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))))) (* c0 (* (/ d D) (/ d D)))))
824.0ms	(+ (* (sqrt (- (pow (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) 3) (pow (* M M) 3))) w) (* (sqrt (+ (* (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))) (+ (* (* M M) (* M M)) (* (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))))) (* (/ c0 h) (* (/ d D) (/ d D)))))
792.0ms	(+ (* (sqrt (- (pow (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) 3) (pow (* M M) 3))) h) (* (sqrt (+ (* (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))) (+ (* (* M M) (* M M)) (* (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))))) (* c0 (/ (* (/ d D) (/ d D)) w))))
777.0ms	(+ (* (sqrt (- (pow (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) 3) (pow (* M M) 3))) w) (* (sqrt (+ (* (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))) (+ (* (* M M) (* M M)) (* (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))))) (* (/ c0 h) (* (/ d D) (/ d D)))))
770.0ms	(+ (* (sqrt (- (pow (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) 3) (pow (* M M) 3))) (* h w)) (* (sqrt (+ (* (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))) (+ (* (* M M) (* M M)) (* (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))))) (* c0 (* (/ d D) (/ d D)))))

prune2.4s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 25.5b

regimes1.8s

Accuracy

-5.5% (8.0b remaining)

Error of 33.5b against oracle of 25.5b and baseline of 33.1b

bsearch1.4s

end0.0ms

sample19.5s

Algorithm

intervals

Results

4.8s	13071×	body	80	nan
4.7s	2350×	body	5120	valid
2.9s	1705×	body	2560	valid
2.6s	6947×	body	80	valid
1.4s	606×	body	10240	exit
1.2s	864×	body	1280	valid
634.0ms	247×	body	320	valid
480.0ms	465×	body	640	valid
49.0ms	111×	body	160	valid