Details

sample164.0ms

Algorithm

intervals

Results

34.0ms	71×	body	5120	valid
27.0ms	439×	body	80	nan
25.0ms	57×	body	2560	valid
13.0ms	215×	body	80	valid
12.0ms	30×	body	1280	valid
10.0ms	19×	body	10240	exit
2.0ms	10×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	2×	body	160	valid

simplify106.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	59	26
1	298	26
2	3398	26
3	5002	26

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize19.0ms

Local error

Found 4 expressions with local error:

17.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
26.6b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite84.0ms

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:

13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
32.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series525.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
244.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify128.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	579	2159
1	3786	1523
2	5001	1523

prune316.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 32.4b

localize5.0ms

Local error

Found 1 expressions with local error:

5.2b	(* (/ c0 (* 2.0 w)) 0)

rewrite8.0ms

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:

7.0ms

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

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify286.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (282.0ms)

Iter	Nodes	Cost
0	176	32
1	1859	16
2	5001	6

prune76.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 30.8b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune26.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 30.8b

localize21.0ms

Local error

Found 4 expressions with local error:

17.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.7b	(* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))
28.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (* (* c0 (* d d)) (/ 1 (* (* w h) (* D D)))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

373×	`add-exp-log`
246×	`prod-exp`
235×	`add-cbrt-cube`
138×	`cbrt-unprod`
60×	`div-exp`
45×	`cbrt-undiv`
15×	`rec-exp` `1-exp`
13×	`pow1`
8×	`*-un-lft-identity`
7×	`associate-r`
6×	`add-sqr-sqrt` `add-cube-cbrt` `pow-prod-down` `add-log-exp`
5×	`times-frac`
3×	`div-inv`
2×	`frac-2neg` `sqrt-div` `frac-add` `clear-num` `associate-/r` `associate-/l`
1×	`+-commutative` `flip3--` `flip3-+` `associate-r/` `associate-l` `sum-log` `un-div-inv` `-commutative` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 187

Calls

4 calls:

13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.0ms	(* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))
37.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (* (* c0 (* d d)) (/ 1 (* (* w h) (* D D)))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series532.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
95.0ms	(* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))
245.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (* (* c0 (* d d)) (/ 1 (* (* w h) (* D D)))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify48.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	1023	2541
1	5001	1838

prune273.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 30.1b

regimes395.0ms

Accuracy

0% (3.1b remaining)

Error of 33.7b against oracle of 30.6b and baseline of 33.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	1

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.1s	2275×	body	5120	valid
819.0ms	12991×	body	80	nan
699.0ms	1771×	body	2560	valid
436.0ms	6794×	body	80	valid
322.0ms	611×	body	10240	exit
277.0ms	871×	body	1280	valid
110.0ms	436×	body	640	valid
42.0ms	222×	body	320	valid
15.0ms	106×	body	160	valid