Details

sample396.0ms

Algorithm

intervals

Results

85.0ms	70×	body	5120	valid
63.0ms	34×	body	1280	valid
50.0ms	61×	body	2560	valid
50.0ms	400×	body	80	nan
27.0ms	222×	body	80	valid
25.0ms	24×	body	10240	exit
6.0ms	11×	body	640	valid
4.0ms	10×	body	320	valid
0.0ms	1×	body	160	valid

simplify2.0s

Counts: 1 → 1

prune358.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.7b

localize36.0ms

Local error

Found 4 expressions with local error:

17.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.3b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite1.2s

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:

88.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
43.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
72.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
950.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series795.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
162.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
126.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
371.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify2.4s

Counts: 155 → 155

prune590.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 32.4b

localize6.0ms

Local error

Found 1 expressions with local error:

6.2b	(* (/ c0 (* 2.0 w)) 0)

rewrite46.0ms

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:

44.0ms

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

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

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

simplify4.4s

Counts: 31 → 31

prune85.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 30.0b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify11.0ms

Counts: 0 → 0

prune23.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 30.0b

localize46.0ms

Local error

Found 4 expressions with local error:

17.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.3b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
27.3b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

142×	`add-exp-log` `add-cbrt-cube`
78×	`prod-exp` `cbrt-unprod`
30×	`cbrt-undiv` `div-exp`
8×	`*-un-lft-identity` `add-log-exp`
4×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `sqrt-div` `frac-add`
2×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `times-frac` `clear-num` `associate-/r` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out` `associate-/l`

Counts

4 → 114

Calls

4 calls:

62.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
62.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
865.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
835.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series889.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
136.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
294.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
333.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify1.9s

Counts: 126 → 126

prune363.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 30.0b

regimes525.0ms

Accuracy

0% (2.3b remaining)

Error of 34.0b against oracle of 31.7b and baseline of 34.0b

bsearch0.0ms

simplify1.2s

end0.0ms

sample11.7s

Algorithm

intervals

Results

3.3s	13167×	body	80	nan
2.3s	2270×	body	5120	valid
1.3s	1722×	body	2560	valid
1.1s	6769×	body	80	valid
864.0ms	970×	body	1280	valid
521.0ms	559×	body	10240	exit
250.0ms	438×	body	640	valid
96.0ms	246×	body	320	valid
20.0ms	106×	body	160	valid