Details

sample270.0ms

Algorithm

intervals

Results

60.0ms	80×	body	5120	valid
49.0ms	190×	body	80	valid
38.0ms	363×	body	80	nan
27.0ms	49×	body	2560	valid
15.0ms	33×	body	1280	valid
13.0ms	16×	body	10240	exit
3.0ms	9×	body	640	valid
2.0ms	6×	body	320	valid
1.0ms	6×	body	160	valid

simplify1.6s

Counts: 1 → 1

prune46.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize59.0ms

Local error

Found 4 expressions with local error:

15.6b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.6b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.6b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite1.3s

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:

66.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
50.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
51.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
1.1s	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series750.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
141.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
125.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
345.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify1.8s

Counts: 155 → 155

prune399.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 32.0b

localize5.0ms

Local error

Found 1 expressions with local error:

6.9b	(* (/ c0 (* 2.0 w)) 0)

rewrite25.0ms

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:

24.0ms

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

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

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

simplify4.2s

Counts: 31 → 31

prune116.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 29.3b

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify17.0ms

Counts: 0 → 0

prune40.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 29.3b

localize92.0ms

Local error

Found 4 expressions with local error:

15.6b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
27.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
27.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite2.5s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

70.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
867.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
901.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
685.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series1.4s

Counts

4 → 12

Calls

4 calls:

124.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
416.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
401.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
435.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify2.0s

Counts: 97 → 97

prune485.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 29.3b

regimes486.0ms

Accuracy

0% (2.3b remaining)

Error of 33.4b against oracle of 31.2b and baseline of 33.4b

bsearch0.0ms

simplify1.2s

end0.0ms

sample13.4s

Algorithm

intervals

Results

3.9s	2362×	body	5120	valid
2.7s	12757×	body	80	nan
1.9s	1707×	body	2560	valid
1.0s	6848×	body	80	valid
818.0ms	629×	body	10240	exit
575.0ms	871×	body	1280	valid
278.0ms	448×	body	640	valid
135.0ms	200×	body	320	valid
25.0ms	104×	body	160	valid