Details

Time bar (total: 7.3s)

sample134.0ms

Algorithm
intervals
Results
21.0ms287×body80valid
6.0ms77×body80nan

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0369
1819
21789
34469
415309
550019

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.3b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

2.1b
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
3.8b
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
4.3b
(/ (* M D) (* 2.0 d))
10.8b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
35×add-sqr-sqrt
27×prod-exp
23×add-cbrt-cube
19×div-exp associate-*r*
17×add-cube-cbrt *-un-lft-identity
14×times-frac
12×associate-*l*
10×pow-exp
8×unswap-sqr
7×pow1 unpow-prod-down sqrt-prod cbrt-unprod
5×cbrt-undiv
4×sqrt-div add-log-exp
3×associate-*r/ div-inv sqr-pow
2×pow-to-exp flip3-- *-commutative flip--
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 pow-prod-down clear-num associate-/r* associate-/l*
Counts
4 → 113
Calls
4 calls:
6.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
2.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
5.0ms
(/ (* M D) (* 2.0 d))
10.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

series539.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
148.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
6.0ms
(/ (* M D) (* 2.0 d))
213.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

simplify71.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
07381124
129591046
250011043

prune231.0ms

Filtered
81 candidates to 125 candidates (-54.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1187125
Fresh000
Picked101
Done000
Total1197126

Merged error: 7.0b

Counts
126 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

3.8b
(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
4.3b
(/ (* M D) (* 2.0 d))
5.0b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
6.0b
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
26×prod-exp
23×add-cbrt-cube
20×div-exp
18×add-sqr-sqrt
12×*-un-lft-identity
10×add-cube-cbrt pow-exp
9×associate-*l*
6×cbrt-undiv unpow-prod-down cbrt-unprod
5×pow1 times-frac sqrt-prod
4×associate-/r* add-log-exp
3×associate-*r* div-inv unswap-sqr
2×pow-to-exp frac-2neg sqrt-div clear-num associate-/l* sqr-pow
1×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
4.0ms
(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
6.0ms
(/ (* M D) (* 2.0 d))
7.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
7.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)

series556.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
6.0ms
(/ (* M D) (* 2.0 d))
199.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
207.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)

simplify65.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0693924
12737841
25002839

prune199.0ms

Filtered
70 candidates to 108 candidates (-54.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1062108
Fresh066
Picked011
Done000
Total1069115

Merged error: 6.8b

Counts
115 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

3.8b
(sqrt (- 1.0 (/ (* (pow (* (/ M 2.0) (/ D d)) 2.0) h) l)))
5.0b
(* (pow (* (/ M 2.0) (/ D d)) 2.0) h)
5.1b
(* (/ M 2.0) (/ D d))
6.0b
(/ (* (pow (* (/ M 2.0) (/ D d)) 2.0) h) l)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
41×add-sqr-sqrt
26×prod-exp
25×*-un-lft-identity times-frac
23×add-cube-cbrt add-cbrt-cube
20×div-exp
18×associate-*l*
16×associate-*r*
10×pow-exp
7×pow1
6×cbrt-undiv cbrt-unprod unswap-sqr
5×sqrt-prod
4×add-log-exp
3×associate-/r* div-inv
2×pow-to-exp sqrt-div *-commutative sqr-pow
1×frac-times unpow-prod-down rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ clear-num flip-- associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 120
Calls
4 calls:
4.0ms
(sqrt (- 1.0 (/ (* (pow (* (/ M 2.0) (/ D d)) 2.0) h) l)))
6.0ms
(* (pow (* (/ M 2.0) (/ D d)) 2.0) h)
10.0ms
(* (/ M 2.0) (/ D d))
7.0ms
(/ (* (pow (* (/ M 2.0) (/ D d)) 2.0) h) l)

series560.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(sqrt (- 1.0 (/ (* (pow (* (/ M 2.0) (/ D d)) 2.0) h) l)))
199.0ms
(* (pow (* (/ M 2.0) (/ D d)) 2.0) h)
6.0ms
(* (/ M 2.0) (/ D d))
211.0ms
(/ (* (pow (* (/ M 2.0) (/ D d)) 2.0) h) l)

simplify68.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
08321043
13170960
25001958

prune220.0ms

Filtered
88 candidates to 132 candidates (-50.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1320132
Fresh077
Picked011
Done011
Total1329141

Merged error: 6.8b

Counts
141 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

6.0b
(/ (* (pow (* (cbrt (/ (* M D) (* 2.0 d))) (cbrt (/ (* M D) (* 2.0 d)))) 2.0) (* (pow (cbrt (/ (* M D) (* 2.0 d))) 2.0) h)) l)
19.2b
(cbrt (/ (* M D) (* 2.0 d)))
19.2b
(cbrt (/ (* M D) (* 2.0 d)))
19.2b
(cbrt (/ (* M D) (* 2.0 d)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
62×add-exp-log
32×prod-exp
17×div-exp
15×cbrt-prod
13×add-cbrt-cube
12×pow-exp
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×pow-to-exp
6×times-frac
4×pow1 div-inv add-log-exp
3×cbrt-undiv cbrt-div pow1/3 associate-/r* cbrt-unprod
1×frac-2neg clear-num associate-/l*
Counts
4 → 79
Calls
4 calls:
11.0ms
(/ (* (pow (* (cbrt (/ (* M D) (* 2.0 d))) (cbrt (/ (* M D) (* 2.0 d)))) 2.0) (* (pow (cbrt (/ (* M D) (* 2.0 d))) 2.0) h)) l)
4.0ms
(cbrt (/ (* M D) (* 2.0 d)))
4.0ms
(cbrt (/ (* M D) (* 2.0 d)))
4.0ms
(cbrt (/ (* M D) (* 2.0 d)))

series298.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(/ (* (pow (* (cbrt (/ (* M D) (* 2.0 d))) (cbrt (/ (* M D) (* 2.0 d)))) 2.0) (* (pow (cbrt (/ (* M D) (* 2.0 d))) 2.0) h)) l)
23.0ms
(cbrt (/ (* M D) (* 2.0 d)))
21.0ms
(cbrt (/ (* M D) (* 2.0 d)))
22.0ms
(cbrt (/ (* M D) (* 2.0 d)))

simplify51.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
05371297
118831109
250011076

prune209.0ms

Filtered
64 candidates to 91 candidates (-42.2%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh066
Picked011
Done022
Total919100

Merged error: 6.8b

Counts
100 → 9

regimes2.2s

Accuracy

55.1% (1.6b remaining)

Error of 8.7b against oracle of 7.1b and baseline of 10.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04627
14627

end0.0ms

sample1.6s

Algorithm
intervals
Results
713.0ms9366×body80valid
242.0ms3035×body80nan

Profiling

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