Details

sample235.0ms

Algorithm

intervals

Results

66.0ms	415×	body	80	nan
44.0ms	73×	body	5120	valid
29.0ms	63×	body	2560	valid
15.0ms	201×	body	80	valid
12.0ms	19×	body	10240	exit
11.0ms	29×	body	1280	valid
3.0ms	9×	body	640	valid
2.0ms	7×	body	320	valid
0.0ms	2×	body	160	valid

simplify1.5s

Counts: 1 → 1

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.7b

localize28.0ms

Local error

Found 4 expressions with local error:

17.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
29.7b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite939.0ms

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)))
68.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
734.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series633.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
107.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
107.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
314.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify1.7s

Counts: 155 → 155

prune388.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 33.3b

localize5.0ms

Local error

Found 1 expressions with local error:

6.7b	(* (/ c0 (* 2.0 w)) 0)

rewrite26.0ms

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:

25.0ms

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

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

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

simplify3.9s

Counts: 31 → 31

prune64.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 31.1b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify11.0ms

Counts: 0 → 0

prune7.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 31.1b

localize30.0ms

Local error

Found 4 expressions with local error:

17.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.8b	(/ (* (* w h) (* D D)) (* d d))
33.2b	(+ (/ c0 (/ (* (* w h) (* D D)) (* d d))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite920.0ms

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:

73.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
46.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
38.0ms	(/ (* (* w h) (* D D)) (* d d))
754.0ms	(+ (/ c0 (/ (* (* w h) (* D D)) (* d d))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series966.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
135.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
115.0ms	(/ (* (* w h) (* D D)) (* d d))
581.0ms	(+ (/ c0 (/ (* (* w h) (* D D)) (* d d))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify2.6s

Counts: 145 → 145

prune403.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 30.6b

regimes438.0ms

Accuracy

0% (3.2b remaining)

Error of 33.3b against oracle of 30.0b and baseline of 33.3b

bsearch0.0ms

simplify11.0ms

end0.0ms

sample13.6s

Algorithm

intervals

Results

3.1s	2326×	body	5120	valid
2.1s	13249×	body	80	nan
1.8s	1708×	body	2560	valid
1.7s	572×	body	10240	exit
1.3s	6774×	body	80	valid
1.1s	909×	body	1280	valid
260.0ms	419×	body	640	valid
160.0ms	234×	body	320	valid
21.0ms	88×	body	160	valid