Details

Time bar (total: 9.9s)

sample171.0ms

Algorithm
intervals
Results
37.0ms68×body5120valid
27.0ms392×body80nan
25.0ms61×body2560valid
14.0ms210×body80valid
14.0ms25×body10240exit
11.0ms33×body1280valid
5.0ms17×body640valid
1.0ms5×body320valid
1.0ms4×body160valid

simplify112.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05926
129826
2339826
3500226

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize21.0ms

Local error

Found 4 expressions with local error:

18.6b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.6b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.6b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.2b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite351.0ms

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:
17.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
289.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series540.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
95.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
253.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify128.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05792159
137861523
250011523

prune320.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 34.1b

localize5.0ms

Local error

Found 1 expressions with local error:

4.7b
(* (/ 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×mul0 pow-prod-down associate-*l/ *-commutative div-inv add-log-exp unswap-sqr
Counts
1 → 28
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)

simplify285.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (281.0ms)

IterNodesCost
017632
1185916
250016

prune70.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 33.2b

localize5.0ms

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

prune15.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 33.2b

localize30.0ms

Local error

Found 4 expressions with local error:

18.6b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.2b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
27.2b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
27.2b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite885.0ms

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:
17.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
287.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
287.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
289.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series855.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
251.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
256.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
251.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify132.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
05792389
137862041
250012041

prune376.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 33.2b

regimes510.0ms

Accuracy

0% (2.5b remaining)

Error of 33.6b against oracle of 31.1b and baseline of 33.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041
141

end0.0ms

sample5.1s

Algorithm
intervals
Results
1.2s2259×body5120valid
882.0ms13102×body80nan
756.0ms1783×body2560valid
467.0ms6796×body80valid
328.0ms959×body1280valid
323.0ms573×body10240exit
130.0ms484×body640valid
45.0ms227×body320valid
14.0ms110×body160valid