Details

sample326.0ms

Algorithm

intervals

Results

75.0ms	78×	body	5120	valid
59.0ms	216×	body	80	valid
47.0ms	482×	body	80	nan
32.0ms	53×	body	2560	valid
22.0ms	22×	body	10240	exit
14.0ms	28×	body	1280	valid
4.0ms	12×	body	640	valid
2.0ms	7×	body	320	valid
0.0ms	2×	body	160	valid

simplify1.7s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.4b

localize81.0ms

Local error

Found 4 expressions with local error:

15.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
32.1b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite1.0s

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:

58.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
64.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
71.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
836.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series823.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
182.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
129.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
365.0ms	(+ (/ (* 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: 155 → 155

prune419.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 36.1b

localize5.0ms

Local error

Found 1 expressions with local error:

5.9b	(* (/ c0 (* 2.0 w)) 0)

rewrite38.0ms

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:

36.0ms

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

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify4.6s

Counts: 31 → 31

prune106.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 34.0b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify19.0ms

Counts: 0 → 0

prune31.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 34.0b

localize54.0ms

Local error

Found 4 expressions with local error:

15.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.8b	(/ (* (* w h) (* D D)) (* d d))
33.5b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ c0 (/ (* (* w h) (* D D)) (* d d))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite957.0ms

Algorithm

rewrite-expression-head

Rules

183×	`add-exp-log` `add-cbrt-cube`
99×	`prod-exp` `cbrt-unprod`
40×	`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 → 133

Calls

4 calls:

44.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
79.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
35.0ms	(/ (* (* w h) (* D D)) (* d d))
789.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ c0 (/ (* (* w h) (* D D)) (* d d))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series744.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
129.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
103.0ms	(/ (* (* w h) (* D D)) (* d d))
371.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ c0 (/ (* (* w h) (* D D)) (* d d))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify2.4s

Counts: 145 → 145

prune406.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 34.0b

regimes526.0ms

Accuracy

0% (2.4b remaining)

Error of 33.6b against oracle of 31.2b and baseline of 33.6b

bsearch0.0ms

simplify707.0ms

end0.0ms

sample14.2s

Algorithm

intervals

Results

3.5s	13147×	body	80	nan
3.3s	2252×	body	5120	valid
2.7s	1767×	body	2560	valid
873.0ms	6886×	body	80	valid
740.0ms	929×	body	1280	valid
617.0ms	553×	body	10240	exit
210.0ms	418×	body	640	valid
77.0ms	205×	body	320	valid
34.0ms	126×	body	160	valid