Details

Time bar (total: 11.0s)

sample170.0ms

Algorithm
intervals
Results
37.0ms78×body5120valid
25.0ms445×body80nan
19.0ms55×body2560valid
15.0ms208×body80valid
11.0ms22×body10240exit
9.0ms31×body1280valid
3.0ms13×body640valid
1.0ms9×body320valid
0.0ms3×body160valid

simplify111.0ms

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: 57.6b

localize19.0ms

Local error

Found 4 expressions with local error:

15.5b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.5b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.5b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
28.5b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite779.0ms

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:
45.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
45.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
45.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
634.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series572.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
101.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
101.0ms
(/ (* 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))))

simplify132.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05792159
137861523
250011523

prune299.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 30.8b

localize5.0ms

Local error

Found 1 expressions with local error:

5.7b
(* (/ c0 (* 2.0 w)) 0)

rewrite26.0ms

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:
25.0ms
(* (/ c0 (* 2.0 w)) 0)

series2.0ms

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

simplify292.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (287.0ms)

IterNodesCost
017632
1185916
250016

prune69.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 29.7b

localize3.0ms

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

prune13.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 29.7b

localize28.0ms

Local error

Found 4 expressions with local error:

15.5b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
28.5b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
28.5b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
28.5b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite1.9s

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:
44.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
624.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
628.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
632.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series892.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
267.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
263.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
266.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify135.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05792389
137862041
250012041

prune344.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 29.7b

regimes360.0ms

Accuracy

0% (2.2b remaining)

Error of 33.2b against oracle of 31.0b and baseline of 33.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.1s2326×body5120valid
756.0ms12967×body80nan
624.0ms1702×body2560valid
412.0ms6868×body80valid
299.0ms612×body10240exit
259.0ms856×body1280valid
105.0ms447×body640valid
40.0ms233×body320valid
16.0ms122×body160valid