Details

Time bar (total: 4.0s)

sample48.0ms

Algorithm
intervals
Results
14.0ms288×body80valid
8.0ms249×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.8b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

1.4b
(* c0 (sqrt (/ A (* V l))))
6.2b
(/ A (* V l))
15.6b
(sqrt (/ A (* V l)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
10×add-exp-log associate-*r* add-cbrt-cube
9×times-frac
6×pow1
3×associate-*l* div-inv associate-/l* add-log-exp
2×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod unswap-sqr
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 66
Calls
3 calls:
7.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series27.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
8.0ms
(sqrt (/ A (* V l)))

simplify59.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0214321
1808296
23059293
35001293

prune125.0ms

Filtered
55 candidates to 75 candidates (-36.4%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New631275
Fresh000
Picked011
Done000
Total631376

Merged error: 6.7b

Counts
76 → 13

localize7.0ms

Local error

Found 3 expressions with local error:

1.4b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
3.7b
(* (/ 1 V) (/ A l))
15.6b
(sqrt (* (/ 1 V) (/ A l)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
27×add-exp-log
25×times-frac
21×*-un-lft-identity
19×add-cube-cbrt
17×associate-*r* add-cbrt-cube
16×associate-*l*
10×pow1
9×prod-exp
8×div-exp
7×unswap-sqr
6×sqrt-div associate-*r/
5×cbrt-unprod
4×cbrt-undiv
3×frac-times pow-prod-down associate-*l/ add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 92
Calls
3 calls:
8.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
10.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
6.0ms
(* (/ 1 V) (/ A l))
13.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify45.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0428506
11894441
25001415

prune153.0ms

Filtered
67 candidates to 101 candidates (-50.7%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New974101
Fresh11011
Picked011
Done011
Total9816114

Merged error: 4.5b

Counts
114 → 16

localize12.0ms

Local error

Found 4 expressions with local error:

3.7b
(* (/ 1 V) (/ A l))
3.7b
(* (/ 1 V) (/ A l))
15.6b
(sqrt (* (/ 1 V) (/ A l)))
15.6b
(sqrt (* (/ 1 V) (/ A l)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
50×times-frac
48×add-exp-log
36×*-un-lft-identity
32×add-cube-cbrt
28×add-cbrt-cube
26×associate-*r* associate-*l*
16×div-exp prod-exp
14×pow1
12×unswap-sqr
8×cbrt-undiv cbrt-unprod
6×sqrt-div
4×frac-times rec-exp sqrt-pow1 1-exp associate-*r/ pow-prod-down associate-*l/ div-inv add-log-exp
2×pow1/2 sqrt-prod *-commutative
Counts
4 → 140
Calls
4 calls:
10.0ms
(* (/ 1 V) (/ A l))
9.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series38.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (/ 1 V) (/ A l))
4.0ms
(* (/ 1 V) (/ A l))
12.0ms
(sqrt (* (/ 1 V) (/ A l)))
13.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify45.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0364728
11601622
25001570

prune258.0ms

Filtered
108 candidates to 152 candidates (-40.7%)
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New1520152
Fresh01313
Picked011
Done022
Total15216168

Merged error: 4.5b

Counts
168 → 16

localize11.0ms

Local error

Found 4 expressions with local error:

1.4b
(* c0 (sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))))
1.9b
(/ (/ A l) (cbrt V))
2.0b
(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))
15.6b
(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
304×times-frac
199×add-sqr-sqrt
159×*-un-lft-identity
154×add-cube-cbrt
89×add-exp-log
87×cbrt-prod
86×associate-*r*
36×div-exp
33×add-cbrt-cube
31×prod-exp
18×cbrt-undiv
16×div-inv unswap-sqr
13×cbrt-unprod associate-/l*
11×pow1
10×associate-*l*
6×rec-exp sqrt-div 1-exp associate-*r/ associate-/r*
4×add-log-exp
3×frac-times pow-prod-down associate-*l/
2×sqrt-pow1 sqrt-prod *-commutative
1×frac-2neg pow1/2 clear-num associate-/l/
Counts
4 → 294
Calls
4 calls:
17.0ms
(* c0 (sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))))
7.0ms
(/ (/ A l) (cbrt V))
29.0ms
(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))
15.0ms
(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))

series57.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* c0 (sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))))
16.0ms
(/ (/ A l) (cbrt V))
8.0ms
(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))
16.0ms
(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))

simplify56.0ms

Algorithm
egg-herbie
Counts
306 → 306
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
013213086
150012823

prune307.0ms

Filtered
239 candidates to 306 candidates (-28.0%)
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New3033306
Fresh11112
Picked101
Done033
Total30517322

Merged error: 3.9b

Counts
322 → 17

regimes1.2s

Accuracy

52.8% (5.0b remaining)

Error of 8.2b against oracle of 3.2b and baseline of 13.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04745
14745

end0.0ms

sample1.3s

Algorithm
intervals
Results
304.0ms8878×body80valid
294.0ms8842×body80nan

Profiling

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