Details

Time bar (total: 14.2s)

sample314.0ms

Algorithm
intervals
Results
77.0ms80×body5120valid
69.0ms398×body80nan
39.0ms243×body80valid
38.0ms48×body2560valid
20.0ms20×body10240exit
19.0ms29×body1280valid
10.0ms14×body640valid
3.0ms7×body320valid
1.0ms2×body160valid

simplify101.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05926
129826
2339826
3500226

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize19.0ms

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))))

rewrite328.0ms

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:
16.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
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))))

series502.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
89.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
92.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
232.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify120.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05792159
137861523
250011523

prune291.0ms

Pruning

7 alts after pruning (6 fresh and 1 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×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:
3.0ms
(/ c0 (* 2.0 w))
10.0ms
(* (/ c0 (* 2.0 w)) 0)

series18.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ c0 (* 2.0 w))
1.0ms
(* (/ c0 (* 2.0 w)) 0)

simplify282.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (277.0ms)

IterNodesCost
0199118
1189587
2500177

prune117.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 28.3b

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

prune17.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 28.3b

localize31.0ms

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))))

rewrite828.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log add-cbrt-cube
39×prod-exp cbrt-unprod
15×cbrt-undiv div-exp
10×*-un-lft-identity add-log-exp
6×sqrt-div frac-add
4×pow1 add-sqr-sqrt add-cube-cbrt
3×+-commutative flip3-- flip3-+ sum-log flip-- flip-+ distribute-lft-out
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 85
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))))
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))))
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))))

series785.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
232.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
231.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
232.0ms
(+ (/ (* 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
97 → 97
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05792389
137862041
250012041

prune333.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 28.3b

regimes359.0ms

Accuracy

48.7% (1.3b remaining)

Error of 32.8b against oracle of 31.6b and baseline of 34.0b

bsearch5.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03552
13852
23852

end0.0ms

sample9.6s

Algorithm
intervals
Results
2.3s2339×body5120valid
2.2s13185×body80nan
1.4s1713×body2560valid
1.1s6804×body80valid
605.0ms887×body1280valid
596.0ms569×body10240exit
243.0ms445×body640valid
90.0ms217×body320valid
31.0ms107×body160valid