Details

sample419.0ms

Algorithm

intervals

Results

89.0ms	417×	body	80	nan
73.0ms	65×	body	5120	valid
38.0ms	43×	body	2560	valid
37.0ms	9×	body	320	valid
35.0ms	222×	body	80	valid
30.0ms	42×	body	1280	valid
19.0ms	16×	body	10240	exit
7.0ms	13×	body	640	valid
1.0ms	3×	body	160	valid

simplify135.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.8b

localize26.0ms

Local error

Found 4 expressions with local error:

18.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
24.1b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

211×	`add-exp-log` `add-cbrt-cube`
117×	`prod-exp` `cbrt-unprod`
45×	`cbrt-undiv` `div-exp`
6×	`*-un-lft-identity` `add-log-exp`
4×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
3×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 143

Calls

4 calls:

59.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
63.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
79.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
861.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series790.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
134.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
122.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
381.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify125.0ms

Counts: 155 → 155

prune531.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 34.7b

localize9.0ms

Local error

Found 1 expressions with local error:

4.0b	(* (/ c0 (* 2.0 w)) 0)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 28

Calls

1 calls:

47.0ms

(* (/ c0 (* 2.0 w)) 0)

series3.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(* (/ c0 (* 2.0 w)) 0)

simplify73.0ms

Counts: 31 → 31

prune132.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 33.1b

localize11.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts: 0 → 0

prune39.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 33.1b

localize51.0ms

Local error

Found 4 expressions with local error:

15.8b	(* (/ c0 (* w h)) (/ (* d d) (* D D)))
18.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.8b	(+ (* (/ c0 (* w h)) (/ (* d d) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite932.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-exp-log` `add-cbrt-cube`
110×	`prod-exp` `cbrt-unprod`
52×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-l*`
6×	`pow1` `sqrt-div` `frac-add` `add-log-exp`
5×	`associate-r`
4×	`div-inv`
3×	`frac-times` `flip3--` `associate-r/` `associate-l/` `flip--`
2×	`frac-2neg` `clear-num` `associate-/r` `associate-/l` `unswap-sqr`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+`

Counts

4 → 159

Calls

4 calls:

81.0ms	(* (/ c0 (* w h)) (/ (* d d) (* D D)))
44.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
45.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
749.0ms	(+ (* (/ c0 (* w h)) (/ (* d d) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series985.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (/ c0 (* w h)) (/ (* d d) (* D D)))
103.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
104.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
639.0ms	(+ (* (/ c0 (* w h)) (/ (* d d) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify47.0ms

Counts: 171 → 171

prune445.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 31.0b

regimes711.0ms

Accuracy

0% (3.4b remaining)

Error of 33.9b against oracle of 30.6b and baseline of 33.9b

bsearch0.0ms

simplify95.0ms

end0.0ms

sample12.3s

Algorithm

intervals

Results

2.9s	2206×	body	5120	valid
2.6s	13198×	body	80	nan
1.5s	6898×	body	80	valid
1.5s	1725×	body	2560	valid
767.0ms	655×	body	10240	exit
654.0ms	1016×	body	1280	valid
234.0ms	455×	body	640	valid
88.0ms	204×	body	320	valid
23.0ms	112×	body	160	valid