Details

sample158.0ms

Algorithm

intervals

Results

32.0ms	66×	body	5120	valid
25.0ms	57×	body	2560	valid
23.0ms	366×	body	80	nan
14.0ms	27×	body	10240	exit
14.0ms	225×	body	80	valid
9.0ms	29×	body	1280	valid
3.0ms	13×	body	640	valid
1.0ms	4×	body	320	valid
0.0ms	1×	body	160	valid

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	60	26
1	304	25
2	3462	25
3	5003	25

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 60.0b

localize22.0ms

Local error

Found 4 expressions with local error:

18.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
24.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite347.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-exp-log` `add-cbrt-cube`
117×	`prod-exp` `cbrt-unprod`
45×	`cbrt-undiv` `div-exp`
7×	`*-un-lft-identity`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
4×	`pow1` `expm1-log1p-u` `times-frac` `log1p-expm1-u` `div-inv`
3×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 156

Calls

4 calls:

17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
286.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series535.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
95.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
248.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify127.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	594	2246
1	3877	1589
2	5001	1584

prune396.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 39.2b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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×	`expm1-log1p-u` `mul0` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`

Counts

1 → 30

Calls

1 calls:

10.0ms

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

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify285.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (282.0ms)

Iter	Nodes	Cost
0	178	40
1	1861	24
2	5001	14

prune92.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 37.3b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune35.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 37.3b

localize22.0ms

Local error

Found 4 expressions with local error:

17.8b	(/ (* (* w h) (* D D)) (* d d))
18.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
30.5b	(+ (/ c0 (/ (* (* w h) (* D D)) (* d d))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite342.0ms

Algorithm

rewrite-expression-head

Rules

183×	`add-exp-log` `add-cbrt-cube`
99×	`prod-exp` `cbrt-unprod`
40×	`cbrt-undiv` `div-exp`
21×	`times-frac`
20×	`fma-def`
15×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`div-inv`
6×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 161

Calls

4 calls:

13.0ms	(/ (* (* w h) (* D D)) (* d d))
17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
286.0ms	(+ (/ c0 (/ (* (* w h) (* D D)) (* d d))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series747.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(/ (* (* w h) (* D D)) (* d d))
100.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
99.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
470.0ms	(+ (/ c0 (/ (* (* w h) (* D D)) (* d d))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify153.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	736	2073
1	4831	1490
2	5001	1490

prune408.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 36.6b

regimes434.0ms

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	4	2
1	4	2

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.1s	2281×	body	5120	valid
819.0ms	12757×	body	80	nan
686.0ms	1719×	body	2560	valid
439.0ms	6766×	body	80	valid
305.0ms	557×	body	10240	exit
290.0ms	919×	body	1280	valid
113.0ms	460×	body	640	valid
39.0ms	214×	body	320	valid
14.0ms	117×	body	160	valid