Details

Time bar (total: 11.6s)

sample165.0ms

Algorithm
intervals
Results
37.0ms78×body5120valid
25.0ms445×body80nan
19.0ms55×body2560valid
12.0ms208×body80valid
11.0ms22×body10240exit
9.0ms31×body1280valid
3.0ms13×body640valid
2.0ms9×body320valid
0.0ms3×body160valid

simplify109.0ms

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: 57.6b

localize24.0ms

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))))

rewrite750.0ms

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:
42.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
42.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
43.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
613.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series580.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
104.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
106.0ms
(/ (* 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))))

simplify125.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
05942246
138771589
250011584

prune379.0ms

Pruning

6 alts after pruning (6 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)

rewrite25.0ms

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:
24.0ms
(* (/ c0 (* 2.0 w)) 0)

series2.0ms

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

simplify288.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (284.0ms)

IterNodesCost
017840
1186124
2500114

prune76.0ms

Pruning

6 alts after pruning (6 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

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: 29.7b

localize34.0ms

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 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:
43.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
612.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
613.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
613.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series926.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
272.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
277.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
273.0ms
(+ (/ (* 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 (112.0ms)

IterNodesCost
05942538
138772127
250012112

prune729.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 29.7b

regimes437.0ms

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
072
172

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.1s2326×body5120valid
741.0ms12967×body80nan
620.0ms1702×body2560valid
406.0ms6868×body80valid
306.0ms612×body10240exit
250.0ms856×body1280valid
107.0ms447×body640valid
41.0ms233×body320valid
16.0ms122×body160valid