Details

sample321.0ms

Algorithm

intervals

Results

79.0ms	81×	body	5120	valid
61.0ms	497×	body	80	nan
46.0ms	60×	body	2560	valid
30.0ms	238×	body	80	valid
29.0ms	28×	body	10240	exit
18.0ms	28×	body	1280	valid
7.0ms	15×	body	640	valid
1.0ms	4×	body	320	valid
1.0ms	4×	body	160	valid

simplify106.0ms

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

prune45.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.2b

localize22.0ms

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)))
28.0b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite340.0ms

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:

16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
280.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series222.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
37.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
35.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
115.0ms	(+ (/ (* 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 (109.0ms)

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

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 32.1b

localize5.0ms

Local error

Found 1 expressions with local error:

4.9b	(* (/ 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)

simplify282.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (278.0ms)

Iter	Nodes	Cost
0	178	58
1	1734	24
2	5001	14

prune243.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 29.8b

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

prune130.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 29.8b

localize26.0ms

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)))
28.0b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
28.0b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite590.0ms

Algorithm

rewrite-expression-head

Rules

142×	`add-exp-log` `add-cbrt-cube`
78×	`prod-exp` `cbrt-unprod`
30×	`cbrt-undiv` `div-exp`
10×	`fma-def` `*-un-lft-identity`
8×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `expm1-log1p-u` `times-frac` `sqrt-div` `frac-add` `log1p-expm1-u` `div-inv`
2×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `clear-num` `associate-/r` `sum-log` `flip--` `flip-+` `distribute-lft-out` `associate-/l`

Counts

4 → 132

Calls

4 calls:

16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
275.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
275.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series468.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
37.0ms	(/ (* 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))))
114.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify122.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	594	2392
1	3877	1858
2	5001	1848

prune2.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 29.8b

regimes1.6s

Accuracy

0% (2.3b remaining)

Error of 33.8b against oracle of 31.5b and baseline of 33.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	2
1	7	2

end0.0ms

sample8.5s

Algorithm

intervals

Results

2.2s	2308×	body	5120	valid
1.7s	13368×	body	80	nan
1.3s	1736×	body	2560	valid
875.0ms	6919×	body	80	valid
634.0ms	651×	body	10240	exit
566.0ms	895×	body	1280	valid
216.0ms	427×	body	640	valid
73.0ms	196×	body	320	valid
26.0ms	106×	body	160	valid