Details

sample506.0ms

Algorithm

intervals

Results

129.0ms	415×	body	80	nan
100.0ms	57×	body	5120	valid
90.0ms	51×	body	2560	valid
59.0ms	36×	body	1280	valid
53.0ms	247×	body	80	valid
23.0ms	14×	body	10240	exit
10.0ms	12×	body	640	valid
4.0ms	7×	body	320	valid
1.0ms	2×	body	160	valid

simplify991.0ms

Calls

1 calls:

Slowest

991.0ms

(* (/ 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)))))

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 50.1b

localize43.0ms

Local error

Found 4 expressions with local error:

24.3b	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))
15.9b	(sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M)))
14.1b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
14.1b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))

rewrite345.0ms

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

251.0ms	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))
73.0ms	(sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M)))
10.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
8.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))

series1.2s

Calls

4 calls:

Slowest

531.0ms	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))
417.0ms	(sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M)))
112.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
103.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))

simplify11.3s

Calls

62 calls:

Slowest

1.1s	(+ (* (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)))))
771.0ms	(+ (* (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)))))
713.0ms	(+ (* (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))))
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)))) h) (* (sqrt (+ (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* c0 (/ (* (/ d D) (/ d D)) w))))
512.0ms	(* (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))

prune2.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 27.4b

localize6.0ms

Local error

Found 1 expressions with local error:

5.7b	(* (/ c0 w) 0)

rewrite3.0ms

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

3.0ms

(* (/ c0 w) 0)

series2.0ms

Calls

1 calls:

Slowest

2.0ms

(* (/ c0 w) 0)

simplify15.0ms

Calls

6 calls:

Slowest

5.0ms	(* (cbrt (/ c0 w)) (cbrt (/ c0 w)))
3.0ms	(sqrt (/ c0 w))
3.0ms	(* c0 0)
1.0ms	0
1.0ms	0

prune324.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 25.4b

localize3.0ms

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

prune127.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 25.4b

localize33.0ms

Local error

Found 1 expressions with local error:

5.7b	(* (/ c0 w) 0)

rewrite3.0ms

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

3.0ms

(* (/ c0 w) 0)

series2.0ms

Calls

1 calls:

Slowest

2.0ms

(* (/ c0 w) 0)

simplify13.0ms

Calls

6 calls:

Slowest

4.0ms	(* (cbrt (/ c0 w)) (cbrt (/ c0 w)))
3.0ms	(sqrt (/ c0 w))
2.0ms	(* c0 0)
1.0ms	0
1.0ms	0

prune475.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 25.4b

regimes2.1s

Accuracy

-19% (9.4b remaining)

Error of 35.9b against oracle of 26.5b and baseline of 34.4b

bsearch22.0ms

end0.0ms

sample19.4s

Algorithm

intervals

Results

5.0s	2261×	body	5120	valid
3.8s	12913×	body	80	nan
3.3s	1758×	body	2560	valid
2.7s	6744×	body	80	valid
1.5s	565×	body	10240	exit
1.2s	934×	body	1280	valid
864.0ms	435×	body	640	valid
199.0ms	221×	body	320	valid
85.0ms	123×	body	160	valid