Details

Time bar (total: 7.9s)

sample161.0ms

Algorithm
intervals
Results
39.0ms83×body5120valid
26.0ms392×body80nan
19.0ms50×body2560valid
12.0ms194×body80valid
11.0ms36×body1280valid
10.0ms12×body10240exit
5.0ms19×body640valid
2.0ms10×body320valid
0.0ms3×body160valid

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
06026
130425
2346225
3500325

prune12.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.6b

Counts
2 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

13.3b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.3b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.3b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
29.2b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite86.0ms

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

series710.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
92.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
91.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
433.0ms
(+ (/ (* 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
168 → 168
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
05942246
138771589
250011584

prune334.0ms

Filtered
168 candidates to 70 candidates (41.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1635168
Fresh011
Picked101
Done000
Total1646170

Merged error: 31.6b

Counts
170 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

5.9b
(* (/ 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×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:
7.0ms
(* (/ c0 (* 2.0 w)) 0)

series1.0ms

Counts
1 → 3
Calls
1 calls:
1.0ms
(* (/ c0 (* 2.0 w)) 0)

simplify275.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (272.0ms)

IterNodesCost
017858
1173424
2500114

prune64.0ms

Filtered
33 candidates to 21 candidates (63.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New32133
Fresh055
Picked101
Done000
Total33639

Merged error: 29.0b

Counts
39 → 6

localize0.0ms

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)

IterNodesCost
000

prune19.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New000
Fresh055
Picked011
Done000
Total066

Merged error: 29.0b

Counts
6 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

13.3b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.3b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.9b
(/ (/ (* c0 (* d d)) (* w h)) (* D D))
30.5b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (/ (* c0 (* d d)) (* w h)) (* D D))) (* M M))))

rewrite81.0ms

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:
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
12.0ms
(/ (/ (* 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))))

series516.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
91.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
92.0ms
(/ (/ (* c0 (* d d)) (* w h)) (* D D))
239.0ms
(+ (/ (* 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 (23.0ms)

IterNodesCost
08222304
150011646

prune315.0ms

Filtered
175 candidates to 74 candidates (42.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1723175
Fresh314
Picked101
Done011
Total1765181

Merged error: 29.0b

Counts
181 → 5

regimes297.0ms

Accuracy

0% (1.9b remaining)

Error of 33.1b against oracle of 31.2b and baseline of 33.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample4.7s

Algorithm
intervals
Results
1.1s2285×body5120valid
785.0ms13002×body80nan
704.0ms1809×body2560valid
416.0ms6644×body80valid
297.0ms929×body1280valid
281.0ms535×body10240exit
101.0ms408×body640valid
46.0ms241×body320valid
12.0ms100×body160valid