Details

sample507.0ms

Algorithm

intervals

Results

173.0ms	74×	body	5120	valid
90.0ms	397×	body	80	nan
73.0ms	59×	body	2560	valid
46.0ms	204×	body	80	valid
33.0ms	20×	body	10240	exit
24.0ms	8×	body	320	valid
22.0ms	20×	body	1280	valid
8.0ms	10×	body	640	valid
2.0ms	3×	body	160	valid

simplify971.0ms

Calls

1 calls:

Slowest

971.0ms

(* (/ 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)))))

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 50.3b

localize59.0ms

Local error

Found 4 expressions with local error:

26.8b	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))
13.5b	(sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M)))
13.4b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
13.4b	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))

rewrite361.0ms

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

262.0ms	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))
74.0ms	(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))
9.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))

series1.2s

Calls

4 calls:

Slowest

507.0ms	(+ (sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M))) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)))
421.0ms	(sqrt (- (* (* (/ c0 h) (/ (* (/ d D) (/ d D)) w)) (* (/ c0 h) (/ (* (/ d D) (/ d D)) w))) (* M M)))
129.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))
96.0ms	(* (/ c0 h) (/ (* (/ d D) (/ d D)) w))

simplify11.2s

Calls

62 calls:

Slowest

751.0ms	(+ (* (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))))
750.0ms	(+ (* (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)))))
736.0ms	(+ (* (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)))))
603.0ms	(* (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)
552.0ms	(* (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)

prune1.9s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 24.9b

localize10.0ms

Local error

Found 1 expressions with local error:

4.2b	(* (/ c0 w) 0)

rewrite7.0ms

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

7.0ms

(* (/ c0 w) 0)

series2.0ms

Calls

1 calls:

Slowest

2.0ms

(* (/ c0 w) 0)

simplify22.0ms

Calls

6 calls:

Slowest

7.0ms	(* (cbrt (/ c0 w)) (cbrt (/ c0 w)))
5.0ms	(sqrt (/ c0 w))
4.0ms	(* c0 0)
1.0ms	0
1.0ms	0

prune366.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 23.7b

localize2.0ms

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

prune108.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 23.7b