Details

Time bar (total: 3.2s)

analyze519.0ms (16.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%93.6%6.4%7
3.1%84.2%12.7%8
12.5%67.1%20.5%9
16%63.5%20.5%10
17.9%57.7%24.4%11
22.6%48.7%28.7%12
28.7%37.8%33.6%13
30.4%35.9%33.7%14

sample32.0ms (1%)

Algorithm
1×intervals
Results
9.0ms256×body80valid
4.0ms115×body80nan
1.0ms29×body80invalid

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0148
1148

prune8.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.6b

Counts
2 → 1

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

1.7b
(* c0 (sqrt (/ A (* V l))))
5.3b
(/ A (* V l))
17.4b
(sqrt (/ A (* V l)))

rewrite17.0ms (0.5%)

Algorithm
1×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))))
5.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series27.0ms (0.8%)

Counts
3 → 9
Calls

3 calls:

13.0ms
(* c0 (sqrt (/ A (* V l))))
9.0ms
(sqrt (/ A (* V l)))
5.0ms
(/ A (* V l))

simplify66.0ms (2%)

Algorithm
1×egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
05085561

prune165.0ms (5.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New621375
Fresh000
Picked101
Done000
Total631376

Merged error: 7.3b

Counts
76 → 13

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (* V (/ l A)))
1.7b
(* c0 (sqrt (/ 1 (* V (/ l A)))))
4.5b
(* V (/ l A))
17.4b
(sqrt (/ 1 (* V (/ l A))))

rewrite32.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
32×add-exp-log
30×add-sqr-sqrt
24×associate-*r*
20×add-cube-cbrt *-un-lft-identity add-cbrt-cube
19×times-frac
17×sqrt-prod
15×pow1
10×div-exp
9×prod-exp
6×associate-*l*
5×cbrt-undiv associate-*r/ cbrt-unprod
4×pow-flip sqrt-pow1 pow-prod-down div-inv add-log-exp unswap-sqr
3×rec-exp 1-exp associate-/r/ associate-/l*
2×sqrt-div *-commutative inv-pow
1×rem-sqrt-square frac-2neg pow1/2 clear-num associate-/r*
Counts
4 → 115
Calls

4 calls:

9.0ms
(* c0 (sqrt (/ 1 (* V (/ l A)))))
6.0ms
(* V (/ l A))
6.0ms
(/ 1 (* V (/ l A)))
5.0ms
(sqrt (/ 1 (* V (/ l A))))

series36.0ms (1.1%)

Counts
4 → 12
Calls

4 calls:

14.0ms
(* c0 (sqrt (/ 1 (* V (/ l A)))))
12.0ms
(sqrt (/ 1 (* V (/ l A))))
5.0ms
(/ 1 (* V (/ l A)))
5.0ms
(* V (/ l A))

simplify76.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
04940866
14940866

prune217.0ms (6.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1225127
Fresh5712
Picked101
Done000
Total12812140

Merged error: 7.2b

Counts
140 → 12

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

1.7b
(* c0 (pow (* V (/ l A)) -1/2))
4.5b
(* V (/ l A))
17.8b
(pow (* V (/ l A)) -1/2)

rewrite21.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
26×add-exp-log
22×add-sqr-sqrt
18×associate-*r*
14×add-cube-cbrt *-un-lft-identity
11×prod-exp
10×times-frac add-cbrt-cube
8×pow1
6×associate-*l* pow-exp
4×unswap-sqr
3×pow-unpow div-exp cbrt-unprod add-log-exp sqr-pow
2×pow-to-exp unpow-prod-down pow-pow pow-prod-down *-commutative
1×cbrt-undiv associate-*r/ div-inv
Counts
3 → 74
Calls

3 calls:

7.0ms
(pow (* V (/ l A)) -1/2)
6.0ms
(* V (/ l A))
5.0ms
(* c0 (pow (* V (/ l A)) -1/2))

series40.0ms (1.2%)

Counts
3 → 9
Calls

3 calls:

18.0ms
(pow (* V (/ l A)) -1/2)
17.0ms
(* c0 (pow (* V (/ l A)) -1/2))
5.0ms
(* V (/ l A))

simplify63.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05864679

prune168.0ms (5.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New82183
Fresh11011
Picked011
Done000
Total831295

Merged error: 7.2b

Counts
95 → 12

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

1.9b
(/ c0 (sqrt (* V (/ l A))))
4.5b
(* V (/ l A))
17.5b
(sqrt (* V (/ l A)))

rewrite18.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt *-un-lft-identity
13×associate-*r*
10×add-exp-log add-cbrt-cube
8×pow1
5×sqrt-prod
4×associate-/r*
3×associate-*r/ associate-*l* associate-/l* add-log-exp
2×cbrt-undiv sqrt-pow1 sqrt-div div-exp pow-prod-down prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg pow1/2 clear-num associate-/r/ *-commutative
Counts
3 → 76
Calls

3 calls:

6.0ms
(* V (/ l A))
6.0ms
(/ c0 (sqrt (* V (/ l A))))
4.0ms
(sqrt (* V (/ l A)))

series40.0ms (1.2%)

Counts
3 → 9
Calls

3 calls:

21.0ms
(/ c0 (sqrt (* V (/ l A))))
14.0ms
(sqrt (* V (/ l A)))
5.0ms
(* V (/ l A))

simplify81.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
04777738
14777738

prune100.0ms (3.1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New80585
Fresh4610
Picked011
Done011
Total841397

Merged error: 7.2b

Counts
97 → 13

regimes693.0ms (21.5%)

Accuracy

Total 6.5b remaining (49.8%)

Threshold costs 0b (0%)

bsearch2.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05681
15681

end0.0ms (0%)

sample757.0ms (23.5%)

Algorithm
1×intervals
Results
306.0ms8000×body80valid
105.0ms2907×body80nan
37.0ms887×body80invalid

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