Details

Time bar (total: 14.3s)

sample309.0ms

Algorithm
intervals
Results
75.0ms80×body5120valid
64.0ms398×body80nan
41.0ms243×body80valid
40.0ms48×body2560valid
20.0ms20×body10240exit
19.0ms29×body1280valid
7.0ms14×body640valid
3.0ms7×body320valid
1.0ms2×body160valid

simplify105.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
06026
130425
2346225
3500325

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.7b

localize20.0ms

Local error

Found 4 expressions with local error:

16.6b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.6b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.6b
(/ (* 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))))

rewrite333.0ms

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)))
273.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series504.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
90.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
90.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
234.0ms
(+ (/ (* 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 (107.0ms)

IterNodesCost
05942246
138771589
250011584

prune417.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 31.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ c0 (* 2.0 w))
6.4b
(* (/ c0 (* 2.0 w)) 0)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*l*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*r* associate-/l*
2×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
1×frac-2neg mul0 pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 53
Calls
2 calls:
3.0ms
(/ c0 (* 2.0 w))
10.0ms
(* (/ c0 (* 2.0 w)) 0)

series19.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ c0 (* 2.0 w))
1.0ms
(* (/ c0 (* 2.0 w)) 0)

simplify287.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (279.0ms)

IterNodesCost
0203132
11899101
2500191

prune130.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 28.3b

localize1.0ms

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 (1.0ms)

IterNodesCost
000

prune25.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 28.3b

localize28.0ms

Local error

Found 4 expressions with local error:

16.6b
(/ (* 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))))
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))))
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))))

rewrite863.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
15×cbrt-undiv fma-def div-exp
13×*-un-lft-identity
10×add-log-exp
7×add-sqr-sqrt add-cube-cbrt
6×sqrt-div frac-add
4×pow1 expm1-log1p-u times-frac log1p-expm1-u div-inv
3×+-commutative flip3-- flip3-+ sum-log flip-- flip-+ distribute-lft-out
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 108
Calls
4 calls:
16.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
269.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
283.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
290.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series815.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
228.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
250.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
246.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify149.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (121.0ms)

IterNodesCost
05942538
138772127
250012112

prune532.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 28.3b

regimes348.0ms

Accuracy

0% (2.5b remaining)

Error of 34.0b against oracle of 31.6b and baseline of 34.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021

end0.0ms

sample9.3s

Algorithm
intervals
Results
2.2s2339×body5120valid
2.1s13185×body80nan
1.3s1713×body2560valid
1.1s6804×body80valid
589.0ms887×body1280valid
562.0ms569×body10240exit
237.0ms445×body640valid
86.0ms217×body320valid
32.0ms107×body160valid