Details

sample269.0ms

Algorithm

intervals

Results

103.0ms	84×	body	5120	valid
36.0ms	386×	body	80	nan
22.0ms	44×	body	2560	valid
17.0ms	198×	body	80	valid
12.0ms	26×	body	1280	valid
10.0ms	15×	body	10240	exit
4.0ms	12×	body	640	valid
2.0ms	9×	body	320	valid
1.0ms	5×	body	160	valid

simplify105.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.2b

localize28.0ms

Local error

Found 4 expressions with local error:

15.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
29.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite1.0s

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:

71.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
73.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
74.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
810.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series638.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
107.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
108.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
309.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify132.0ms

Counts: 155 → 155

prune464.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 30.7b

localize5.0ms

Local error

Found 1 expressions with local error:

5.7b	(* (/ c0 (* 2.0 w)) 0)

rewrite31.0ms

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:

30.0ms

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

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

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

simplify81.0ms

Counts: 31 → 31

prune129.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 29.5b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts: 0 → 0

prune41.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 29.5b

localize51.0ms

Local error

Found 4 expressions with local error:

15.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
29.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite1.0s

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:

47.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
48.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
45.0ms	(/ (* 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))))

series779.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
153.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
109.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
366.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify114.0ms

Counts: 155 → 155

prune375.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 29.5b

regimes527.0ms

Accuracy

0% (2.4b remaining)

Error of 33.7b against oracle of 31.3b and baseline of 33.7b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample12.7s

Algorithm

intervals

Results

3.0s	1758×	body	2560	valid
2.6s	2315×	body	5120	valid
1.8s	12983×	body	80	nan
1.3s	6655×	body	80	valid
1000.0ms	575×	body	10240	exit
535.0ms	876×	body	1280	valid
248.0ms	427×	body	640	valid
108.0ms	229×	body	320	valid
26.0ms	128×	body	160	valid