Details

sample140.0ms

Algorithm

intervals

Results

33.0ms	74×	body	5120	valid
26.0ms	64×	body	2560	valid
19.0ms	330×	body	80	nan
10.0ms	177×	body	80	valid
7.0ms	22×	body	1280	valid
5.0ms	10×	body	10240	exit
3.0ms	13×	body	640	valid
3.0ms	17×	body	320	valid
0.0ms	2×	body	160	valid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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: 60.4b

localize19.0ms

Local error

Found 4 expressions with local error:

17.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
30.3b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite335.0ms

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)))
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))))

series535.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
92.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
256.0ms	(+ (/ (* 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

prune386.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 33.4b

localize5.0ms

Local error

Found 1 expressions with local error:

5.4b	(* (/ 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)

simplify284.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (280.0ms)

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

prune84.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 31.5b

localize2.0ms

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

prune22.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 31.5b

localize26.0ms

Local error

Found 4 expressions with local error:

17.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.9b	(/ (/ (* c0 (* d d)) (* w h)) (* D D))
35.4b	(+ (/ (/ (* c0 (* d d)) (* w h)) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite322.0ms

Algorithm

rewrite-expression-head

Rules

207×	`add-exp-log` `add-cbrt-cube`
103×	`prod-exp` `cbrt-unprod`
56×	`cbrt-undiv` `div-exp`
15×	`times-frac`
10×	`*-un-lft-identity`
9×	`fma-def`
8×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`div-inv` `associate-/l*`
6×	`add-log-exp`
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 → 167

Calls

4 calls:

18.0ms	(/ (* 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))
268.0ms	(+ (/ (/ (* c0 (* d d)) (* w h)) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series523.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
95.0ms	(/ (/ (* c0 (* d d)) (* w h)) (* D D))
241.0ms	(+ (/ (/ (* c0 (* d d)) (* w h)) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify46.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	819	2282
1	5001	1641

prune534.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 31.4b

regimes396.0ms

Accuracy

0% (2.4b remaining)

Error of 33.5b against oracle of 31.1b and baseline of 33.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	1
1	4	1

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.1s	2278×	body	5120	valid
781.0ms	13163×	body	80	nan
651.0ms	1712×	body	2560	valid
425.0ms	6844×	body	80	valid
304.0ms	605×	body	10240	exit
303.0ms	965×	body	1280	valid
105.0ms	438×	body	640	valid
44.0ms	250×	body	320	valid
13.0ms	109×	body	160	valid