Details

Time bar (total: 8.0s)

sample154.0ms

Algorithm
intervals
Results
33.0ms64×body5120valid
25.0ms65×body2560valid
24.0ms413×body80nan
14.0ms237×body80valid
8.0ms26×body1280valid
8.0ms15×body10240exit
2.0ms10×body640valid
2.0ms9×body320valid
1.0ms6×body160valid

simplify103.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05926
129826
2339826
3500226

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.5b

localize23.0ms

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)))
26.2b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite82.0ms

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:
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)))
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))))

series513.0ms

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

simplify118.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05792159
137861523
250011523

prune304.0ms

Filtered
155 candidates to 56 candidates (36.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 34.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ c0 (* 2.0 w))
3.7b
(* (/ c0 (* 2.0 w)) 0)

rewrite12.0ms

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×div-inv add-log-exp
1×frac-2neg mul0 pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 49
Calls
2 calls:
4.0ms
(/ c0 (* 2.0 w))
7.0ms
(* (/ c0 (* 2.0 w)) 0)

series20.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ c0 (* 2.0 w))
1.0ms
(* (/ c0 (* 2.0 w)) 0)

simplify282.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (278.0ms)

IterNodesCost
0199118
1189587
2500177

prune124.0ms

Filtered
55 candidates to 36 candidates (65.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 32.9b

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)

IterNodesCost
000

prune25.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 32.9b

localize24.0ms

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)))
26.2b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
26.2b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
142×add-exp-log add-cbrt-cube
78×prod-exp cbrt-unprod
30×cbrt-undiv div-exp
8×*-un-lft-identity add-log-exp
4×pow1 add-sqr-sqrt add-cube-cbrt sqrt-div frac-add
2×+-commutative flip3-- frac-2neg flip3-+ times-frac clear-num associate-/r* sum-log flip-- flip-+ div-inv distribute-lft-out associate-/l*
Counts
4 → 114
Calls
4 calls:
14.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
39.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
34.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series679.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
97.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
244.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
242.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify121.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05792274
137861782
250011782

prune334.0ms

Filtered
126 candidates to 56 candidates (44.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 32.9b

regimes365.0ms

Accuracy

0% (2.3b remaining)

Error of 33.2b against oracle of 30.9b and baseline of 33.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040
140

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.1s2326×body5120valid
769.0ms12962×body80nan
662.0ms1737×body2560valid
407.0ms6618×body80valid
296.0ms586×body10240exit
279.0ms918×body1280valid
107.0ms449×body640valid
39.0ms225×body320valid
14.0ms119×body160valid