Details

Time bar (total: 8.7s)

sample189.0ms

Algorithm
intervals
Results
42.0ms75×body5120valid
40.0ms468×body80nan
28.0ms63×body2560valid
16.0ms211×body80valid
11.0ms18×body5120exit
7.0ms19×body1280valid
4.0ms14×body640valid
2.0ms8×body320valid
1.0ms4×body160valid

simplify131.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05926
129826
2339826
3500226

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 60.6b

Counts
2 → 1

localize32.0ms

Local error

Found 4 expressions with local error:

19.4b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.4b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.4b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.7b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
211×add-exp-log add-cbrt-cube
117×prod-exp cbrt-unprod
45×cbrt-undiv div-exp
6×*-un-lft-identity add-log-exp
4×pow1 add-sqr-sqrt add-cube-cbrt
3×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
2×sqrt-div frac-add
1×+-commutative flip3-- flip3-+ sum-log flip-- flip-+ distribute-lft-out
Counts
4 → 143
Calls
4 calls:
19.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
53.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series554.0ms

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

simplify124.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05792159
137861523
250011523

prune253.0ms

Filtered
155 candidates to 56 candidates (36.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1514155
Fresh000
Picked101
Done000
Total1524156

Merged error: 35.9b

Counts
156 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

8.2b
(* (/ 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×mul0 pow-prod-down associate-*l/ *-commutative div-inv add-log-exp unswap-sqr
Counts
1 → 28
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)

simplify287.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (282.0ms)

IterNodesCost
017632
1185916
250016

prune51.0ms

Filtered
31 candidates to 19 candidates (61.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New30131
Fresh033
Picked101
Done000
Total31435

Merged error: 33.8b

Counts
35 → 4

localize0.0ms

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

prune11.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done000
Total044

Merged error: 33.8b

Counts
4 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

19.4b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.4b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.0b
(/ (* (* w h) (* D D)) (* c0 (* d d)))
31.8b
(+ (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite90.0ms

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
4×pow1 add-sqr-sqrt add-cube-cbrt div-inv
3×frac-2neg times-frac clear-num associate-/r* associate-/l*
2×sqrt-div frac-add distribute-lft-out
1×+-commutative flip3-- flip3-+ sum-log flip-- flip-+
Counts
4 → 144
Calls
4 calls:
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms
(/ (* (* w h) (* D D)) (* c0 (* d d)))
38.0ms
(+ (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series731.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
102.0ms
(/ (* (* w h) (* D D)) (* c0 (* d d)))
441.0ms
(+ (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify40.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07912257
150011583

prune254.0ms

Filtered
156 candidates to 57 candidates (36.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1542156
Fresh022
Picked101
Done011
Total1555160

Merged error: 33.4b

Counts
160 → 5

regimes300.0ms

Accuracy

0% (2.7b remaining)

Error of 34.1b against oracle of 31.3b and baseline of 34.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample5.5s

Algorithm
intervals
Results
1.3s2253×body5120valid
1.0s13062×body80nan
792.0ms1684×body2560valid
530.0ms6745×body80valid
365.0ms951×body1280valid
347.0ms570×body5120exit
146.0ms482×body640valid
50.0ms224×body320valid
16.0ms107×body160valid