Details

Time bar (total: 9.8s)

sample161.0ms

Algorithm
intervals
Results
36.0ms76×body5120valid
26.0ms423×body80nan
25.0ms57×body2560valid
14.0ms223×body80valid
10.0ms31×body1280valid
7.0ms14×body10240exit
3.0ms12×body640valid
1.0ms5×body320valid
0.0ms1×body160valid

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
06026
130425
2346225
3500325

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 60.4b

localize23.0ms

Local error

Found 4 expressions with local error:

17.9b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.9b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.9b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
26.5b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite329.0ms

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)))
270.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series530.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
95.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
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))))

simplify134.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
05942246
138771589
250011584

prune402.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 32.6b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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×expm1-log1p-u mul0 pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp unswap-sqr
Counts
1 → 30
Calls
1 calls:
10.0ms
(* (/ c0 (* 2.0 w)) 0)

series1.0ms

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

simplify284.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (279.0ms)

IterNodesCost
017840
1186124
2500114

prune81.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 30.7b

localize1.0ms

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

prune19.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 30.7b

localize27.0ms

Local error

Found 4 expressions with local error:

17.9b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
26.5b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
26.5b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
26.5b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite837.0ms

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:
17.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
271.0ms
(+ (/ (* 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))))
275.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series831.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
243.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
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))))
247.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify131.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
05942538
138772127
250012112

prune739.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 30.7b

regimes340.0ms

Accuracy

0% (2.4b remaining)

Error of 33.7b against oracle of 31.3b and baseline of 33.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.1s2284×body5120valid
833.0ms13353×body80nan
678.0ms1711×body2560valid
438.0ms6856×body80valid
304.0ms572×body10240exit
285.0ms893×body1280valid
108.0ms442×body640valid
42.0ms216×body320valid
14.0ms115×body160valid