Details

Time bar (total: 17.6s)

sample219.0ms

Algorithm
intervals
Results
46.0ms510×body80nan
35.0ms289×body80valid

simplify122.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04914
115314
265214
3362414
4500214

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 36.9b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

8.5b
(/ (* l l) Om)
8.7b
(* (* n (pow (/ l Om) 2.0)) (- U U*))
11.9b
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
19.0b
(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:
5.0ms
(/ (* l l) Om)
11.0ms
(* (* 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*)))))

series2.4s

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ (* l l) Om)
124.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))
354.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
1.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

simplify127.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010041621
148961448
250021448

prune306.0ms

Filtered
115 candidates to 75 candidates (34.8%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New10015115
Fresh000
Picked101
Done000
Total10115116

Merged error: 24.6b

Counts
116 → 15

localize19.0ms

Local error

Found 4 expressions with local error:

4.1b
(* n (pow (/ l Om) 2.0))
8.7b
(* (* n (pow (/ l Om) 2.0)) (- U U*))
11.9b
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
19.0b
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

rewrite50.0ms

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))
11.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))
13.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
12.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

series2.4s

Counts
4 → 12
Calls
4 calls:
40.0ms
(* n (pow (/ l Om) 2.0))
122.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))
350.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
1.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

simplify45.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010711769
150021602

prune312.0ms

Filtered
131 candidates to 86 candidates (34.4%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1256131
Fresh5914
Picked101
Done000
Total13115146

Merged error: 22.8b

Counts
146 → 15

localize18.0ms

Local error

Found 4 expressions with local error:

6.0b
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
6.1b
(* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
8.7b
(* (* n (pow (/ l Om) 2.0)) (- U U*))
19.0b
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*r/
33×pow1
32×add-exp-log
23×add-cbrt-cube
22×distribute-rgt-in distribute-lft-in
18×pow-prod-down prod-exp
16×flip3-- flip--
14×sub-neg
12×associate--l+ frac-sub cbrt-unprod
11×add-sqr-sqrt
9×*-un-lft-identity associate-*r*
7×add-cube-cbrt
6×sqrt-div
5×sqrt-pow1 associate-*l*
4×add-log-exp
3×*-commutative
2×pow-exp
1×pow-to-exp pow1/2 div-exp sqrt-prod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 124
Calls
4 calls:
12.0ms
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
9.0ms
(* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
12.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))
11.0ms
(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:
346.0ms
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
256.0ms
(* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
126.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))
1.9s
(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
136 → 136
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010452262
150012031

prune345.0ms

Filtered
136 candidates to 78 candidates (42.6%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New12313136
Fresh6814
Picked101
Done000
Total13021151

Merged error: 19.1b

Counts
151 → 21

localize18.0ms

Local error

Found 4 expressions with local error:

6.0b
(* (pow (/ l Om) 2.0) (- U U*))
6.0b
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* n (* (pow (/ l Om) 2.0) (- U U*))))))
6.1b
(* U (- (- t (* 2.0 (* l (/ l Om)))) (* n (* (pow (/ l Om) 2.0) (- U U*)))))
19.0b
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* n (* (pow (/ l Om) 2.0) (- U U*)))))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
56×associate-*r/
31×pow1
27×add-sqr-sqrt
26×add-exp-log
22×distribute-rgt-in distribute-lft-in
21×associate-*l*
20×add-cbrt-cube
17×*-un-lft-identity pow-prod-down
16×flip3-- flip--
15×add-cube-cbrt unpow-prod-down
14×sub-neg
13×prod-exp
12×associate--l+ frac-sub
10×times-frac cbrt-unprod
9×associate-*r*
6×sqrt-div
5×sqrt-pow1 unswap-sqr
4×add-log-exp
3×*-commutative
2×pow-exp sqr-pow
1×pow-to-exp pow1/2 div-exp sqrt-prod div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 141
Calls
4 calls:
11.0ms
(* (pow (/ l Om) 2.0) (- U U*))
14.0ms
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* n (* (pow (/ l Om) 2.0) (- U U*))))))
9.0ms
(* 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:
123.0ms
(* (pow (/ l Om) 2.0) (- U U*))
348.0ms
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* n (* (pow (/ l Om) 2.0) (- U U*))))))
256.0ms
(* U (- (- t (* 2.0 (* l (/ l Om)))) (* n (* (pow (/ l Om) 2.0) (- U U*)))))
1.9s
(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
153 → 153
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011262362
150012137

prune259.0ms

Filtered
153 candidates to 97 candidates (36.6%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New1503153
Fresh31720
Picked101
Done000
Total15420174

Merged error: 18.8b

Counts
174 → 20

regimes1.7s

Accuracy

28.1% (9.7b remaining)

Error of 28.4b against oracle of 18.7b and baseline of 32.2b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057113
157113

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.6s15163×body80nan
857.0ms9250×body80valid

Profiling

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