Details

sample302.0ms

Algorithm

intervals

Results

74.0ms	75×	body	5120	valid
69.0ms	442×	body	80	nan
37.0ms	220×	body	80	valid
35.0ms	45×	body	2560	valid
22.0ms	22×	body	10240	exit
15.0ms	23×	body	1280	valid
7.0ms	13×	body	640	valid
4.0ms	9×	body	320	valid
1.0ms	4×	body	160	valid

simplify109.0ms

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.8b

localize20.0ms

Local error

Found 4 expressions with local error:

18.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
25.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite343.0ms

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)))
17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
282.0ms	(+ (/ (* 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:

96.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms	(/ (* 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))))

simplify124.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (106.0ms)

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

prune384.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 34.2b

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 (281.0ms)

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

prune80.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 32.1b

localize3.0ms

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

prune19.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 32.1b

localize25.0ms

Local error

Found 4 expressions with local error:

18.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.2b	(/ (/ (* c0 (* d d)) (* w h)) (* D D))
28.3b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (/ (* c0 (* d d)) (* w h)) (* D D)) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 163

Calls

4 calls:

19.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
11.0ms	(/ (/ (* c0 (* d d)) (* w h)) (* D D))
213.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (/ (* c0 (* d d)) (* w h)) (* D D)) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series537.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
98.0ms	(/ (/ (* 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))))

simplify43.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	822	2304
1	5001	1646

prune348.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 32.1b

regimes438.0ms

Accuracy

0% (2.0b remaining)

Error of 33.2b against oracle of 31.2b and baseline of 33.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample9.4s

Algorithm

intervals

Results

2.2s	2349×	body	5120	valid
2.1s	13197×	body	80	nan
1.4s	1794×	body	2560	valid
1.1s	6747×	body	80	valid
598.0ms	596×	body	10240	exit
569.0ms	858×	body	1280	valid
237.0ms	443×	body	640	valid
86.0ms	213×	body	320	valid
33.0ms	121×	body	160	valid