Details

Time bar (total: 16.9s)

sample4.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.585938%

Guaranteed chance to sample good point: 50.810413%

Results
48.0ms75×body5120valid
37.0ms407×body80nan
25.0ms243×body80valid
24.0ms45×body2560valid
17.0ms24×body5120exit
15.0ms33×body1280valid
2.0ms8×body320valid
2.0ms5×body640valid
1.0ms4×body160valid

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05926
129826
2339826
3500226

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 57.5b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

16.0b
(* (* w h) (* D D))
16.0b
(* (* w h) (* D D))
16.0b
(* (* w h) (* D D))
26.7b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
40×pow1 add-exp-log add-cbrt-cube
24×pow-prod-down prod-exp cbrt-unprod
6×*-un-lft-identity add-log-exp
4×add-sqr-sqrt add-cube-cbrt
3×associate-*r* associate-*l* *-commutative
2×sqrt-div frac-add
1×+-commutative flip3-- flip3-+ sum-log flip-- flip-+ distribute-lft-out
Counts
4 → 80
Calls
4 calls:
8.0ms
(* (* w h) (* D D))
7.0ms
(* (* w h) (* D D))
7.0ms
(* (* 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))))

series138.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (* w h) (* D D))
14.0ms
(* (* w h) (* D D))
14.0ms
(* (* w h) (* D D))
97.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify61.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
03171001
11808848
25002848

prune140.0ms

Filtered
44 candidates to 92 candidates (-109.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New84892
Fresh000
Picked101
Done000
Total85893

Merged error: 30.1b

Counts
93 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

5.2b
(* (/ c0 (* 2.0 w)) 0)

rewrite7.0ms

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×mul0 pow-prod-down associate-*l/ *-commutative div-inv add-log-exp unswap-sqr
Counts
1 → 28
Calls
1 calls:
6.0ms
(* (/ c0 (* 2.0 w)) 0)

series1.0ms

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

simplify289.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (285.0ms)

IterNodesCost
017632
1185916
250016

prune71.0ms

Filtered
19 candidates to 31 candidates (-63.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New30131
Fresh077
Picked101
Done000
Total31839

Merged error: 28.2b

Counts
39 → 8

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

prune41.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New000
Fresh077
Picked011
Done000
Total088

Merged error: 28.2b

Counts
8 → 8

localize32.0ms

Local error

Found 4 expressions with local error:

16.0b
(* (* w h) (* D D))
26.7b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
26.7b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
26.7b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
10×*-un-lft-identity add-log-exp
8×pow-prod-down prod-exp cbrt-unprod
6×sqrt-div frac-add
4×add-sqr-sqrt add-cube-cbrt
3×+-commutative flip3-- flip3-+ sum-log flip-- flip-+ distribute-lft-out
1×associate-*r* associate-*l* *-commutative
Counts
4 → 64
Calls
4 calls:
7.0ms
(* (* 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))))
33.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
35.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series299.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (* w h) (* D D))
94.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
95.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
96.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify71.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
03172003
118081824
250021824

prune98.0ms

Filtered
52 candidates to 76 candidates (-46.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New75176
Fresh066
Picked101
Done011
Total76884

Merged error: 28.2b

Counts
84 → 8

regimes969.0ms

Accuracy

0% (3.1b remaining)

Error of 33.6b against oracle of 30.5b and baseline of 33.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample10.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.585938%

Guaranteed chance to sample good point: 50.810413%

Results
1.5s2262×body5120valid
1.1s13081×body80nan
919.0ms1731×body2560valid
603.0ms6775×body80valid
405.0ms942×body1280valid
394.0ms564×body5120exit
148.0ms430×body640valid
58.0ms225×body320valid
23.0ms127×body160valid

Profiling

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