Details

Time bar (total: 31.2s)

sample7.6s

Algorithm
intervals
sampling

Space saved by range analysis: 10.979023%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 0%

Results
35.0ms373×body80nan
25.0ms256×body80valid
4.0ms39×body80invalid

simplify119.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04914
115314
265214
3362414
4500214

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 33.9b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

5.9b
(* (* n (pow (/ l Om) 2.0)) (- U U*))
6.0b
(/ (* l l) Om)
9.3b
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
21.3b
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
25×pow1
23×add-cbrt-cube
22×associate-*r/
16×prod-exp
13×pow-prod-down
11×flip3-- flip--
10×add-sqr-sqrt *-un-lft-identity cbrt-unprod
8×add-cube-cbrt associate-*r* frac-sub
6×distribute-rgt-in sub-neg distribute-lft-in sqrt-div
4×sqrt-pow1 associate--l+ add-log-exp
3×times-frac div-exp associate-/r*
2×cbrt-undiv associate-*l* pow-exp *-commutative
1×pow-to-exp frac-2neg pow1/2 clear-num sqrt-prod div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 103
Calls
4 calls:
11.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))
5.0ms
(/ (* l l) Om)
12.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
10.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

series2.5s

Counts
4 → 12
Calls
4 calls:
132.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))
3.0ms
(/ (* l l) Om)
371.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
2.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

simplify130.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010041621
148961448
250011448

prune305.0ms

Filtered
75 candidates to 115 candidates (-53.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New10312115
Fresh000
Picked101
Done000
Total10412116

Merged error: 24.1b

Counts
116 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

5.3b
(* n (pow (/ l Om) 2.0))
5.9b
(* (* n (pow (/ l Om) 2.0)) (- U U*))
9.3b
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
21.3b
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
25×pow1 add-sqr-sqrt associate-*r*
22×associate-*r/
20×add-cbrt-cube
19×prod-exp
17×*-un-lft-identity
15×add-cube-cbrt unpow-prod-down
13×pow-prod-down
11×flip3-- flip--
10×times-frac cbrt-unprod
8×frac-sub
6×distribute-rgt-in sub-neg distribute-lft-in sqrt-div
5×associate-*l*
4×sqrt-pow1 pow-exp associate--l+ add-log-exp unswap-sqr
3×*-commutative
2×pow-to-exp div-exp sqr-pow
1×pow1/2 sqrt-prod div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 119
Calls
4 calls:
9.0ms
(* n (pow (/ l Om) 2.0))
13.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))
12.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
10.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

series2.6s

Counts
4 → 12
Calls
4 calls:
43.0ms
(* n (pow (/ l Om) 2.0))
131.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))
369.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
2.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010711765
150011602

prune314.0ms

Filtered
87 candidates to 131 candidates (-50.6%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1265131
Fresh3811
Picked101
Done000
Total13013143

Merged error: 22.5b

Counts
143 → 13

localize26.0ms

Local error

Found 4 expressions with local error:

14.3b
(cbrt (/ l Om))
14.3b
(cbrt (/ l Om))
14.3b
(cbrt (/ l Om))
21.3b
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (* (cbrt (/ l Om)) (cbrt (/ l Om))) 2.0)) (pow (cbrt (/ l Om)) 2.0)) (- U U*)))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×pow1
10×associate-*r/
6×sqrt-div pow-prod-down
5×flip3-- flip--
4×add-exp-log sqrt-pow1 frac-sub add-cbrt-cube add-log-exp
3×cbrt-div pow1/3 div-inv
1×pow1/2 sqrt-prod
Counts
4 → 85
Calls
4 calls:
3.0ms
(cbrt (/ l Om))
2.0ms
(cbrt (/ l Om))
2.0ms
(cbrt (/ l Om))
11.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (* (cbrt (/ l Om)) (cbrt (/ l Om))) 2.0)) (pow (cbrt (/ l Om)) 2.0)) (- U U*)))))

series2.0s

Counts
4 → 12
Calls
4 calls:
13.0ms
(cbrt (/ l Om))
13.0ms
(cbrt (/ l Om))
15.0ms
(cbrt (/ l Om))
2.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (* (cbrt (/ l Om)) (cbrt (/ l Om))) 2.0)) (pow (cbrt (/ l Om)) 2.0)) (- U U*)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06121155
125081107
250031095

prune291.0ms

Filtered
83 candidates to 97 candidates (-16.9%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh01212
Picked011
Done000
Total9713110

Merged error: 22.5b

Counts
110 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

5.1b
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
5.3b
(* n (pow (/ l Om) 2.0))
5.9b
(* (* n (pow (/ l Om) 2.0)) (- U U*))
21.3b
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
34×associate-*r/
31×pow1
24×add-sqr-sqrt
23×associate-*r* add-cbrt-cube
21×prod-exp
18×distribute-rgt-in distribute-lft-in
17×pow-prod-down
16×*-un-lft-identity
15×unpow-prod-down
14×add-cube-cbrt
12×cbrt-unprod
11×flip3-- flip--
10×sub-neg times-frac
8×associate--l+ frac-sub
6×sqrt-div
5×sqrt-pow1 associate-*l*
4×pow-exp add-log-exp unswap-sqr
3×*-commutative
2×pow-to-exp div-exp sqr-pow
1×pow1/2 sqrt-prod div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 129
Calls
4 calls:
13.0ms
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
11.0ms
(* n (pow (/ l Om) 2.0))
11.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))
10.0ms
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))

series2.6s

Counts
4 → 12
Calls
4 calls:
380.0ms
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
44.0ms
(* n (pow (/ l Om) 2.0))
130.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))
2.0s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))

simplify49.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011361922
150011732

prune233.0ms

Filtered
86 candidates to 141 candidates (-64.0%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1338141
Fresh2911
Picked101
Done011
Total13618154

Merged error: 18.4b

Counts
154 → 18

regimes1.7s

Accuracy

24% (9.1b remaining)

Error of 28.0b against oracle of 19.0b and baseline of 30.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06278
16278

end0.0ms

sample10.5s

Algorithm
intervals
sampling

Space saved by range analysis: 10.979023%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 0%

Results
1.4s12346×body80nan
773.0ms8000×body80valid
117.0ms1181×body80invalid

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