Details

Time bar (total: 2.6s)

analyze397.0ms (15.1%)

Algorithm
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
25%74.9%0.2%7
25%74.9%0.2%8
34.3%65.5%0.2%9
39%60.8%0.2%10
48.3%51.5%0.2%11
53.7%46.1%0.2%12
63.1%36.7%0.2%13
64%35.6%0.4%14

sample19.0ms (0.7%)

Algorithm
intervals
Results
7.0ms256×body80valid
0.0msbody80invalid

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
01257
11257

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
1.0b
(/ x (- y (* z t)))

rewrite8.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 flip3-- associate-/r/ flip--
cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 40
Calls

2 calls:

4.0ms
(/ x (- y (* z t)))
3.0ms
(- y (* z t))

series17.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

11.0ms
(/ x (- y (* z t)))
6.0ms
(- y (* z t))

simplify42.0ms (1.6%)

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04953449
14953449

prune77.0ms (2.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New40646
Fresh000
Picked011
Done000
Total40747

Merged error: 0.9b

Counts
47 → 7

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.4b
(/ 1 (/ (- y (* z t)) x))
0.8b
(/ (- y (* z t)) x)

rewrite17.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
div-exp
div-inv associate-/l*
add-log-exp
pow1 cbrt-undiv
rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 117
Calls

3 calls:

6.0ms
(/ 1 (/ (- y (* z t)) x))
4.0ms
(/ (- y (* z t)) x)
3.0ms
(- y (* z t))

series39.0ms (1.5%)

Counts
3 → 9
Calls

3 calls:

22.0ms
(/ 1 (/ (- y (* z t)) x))
11.0ms
(/ (- y (* z t)) x)
6.0ms
(- y (* z t))

simplify55.0ms (2.1%)

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
057641562

prune149.0ms (5.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1242126
Fresh235
Picked011
Done011
Total1267133

Merged error: 0.9b

Counts
133 → 7

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.3b
(/ 1 (- y (* z t)))
1.0b
(/ (/ 1 (- y (* z t))) (/ 1 x))

rewrite38.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
474×times-frac
221×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
47×add-exp-log
34×div-exp
32×div-inv
31×associate-/r/
18×associate-/l*
17×add-cbrt-cube
16×flip3-- associate-/r* flip--
cbrt-undiv rec-exp 1-exp
add-log-exp
pow1
frac-2neg clear-num
sub-neg pow-flip diff-log associate-/l/ inv-pow
Counts
3 → 299
Calls

3 calls:

12.0ms
(/ (/ 1 (- y (* z t))) (/ 1 x))
4.0ms
(/ 1 (- y (* z t)))
3.0ms
(- y (* z t))

series39.0ms (1.5%)

Counts
3 → 9
Calls

3 calls:

23.0ms
(/ (/ 1 (- y (* z t))) (/ 1 x))
10.0ms
(/ 1 (- y (* z t)))
6.0ms
(- y (* z t))

simplify88.0ms (3.4%)

Algorithm
egg-herbie
Counts
308 → 308
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049755516
149755516

prune424.0ms (16.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3080308
Fresh044
Picked011
Done022
Total3087315

Merged error: 0.9b

Counts
315 → 7

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(/ (cbrt x) (- y (* z t)))
0.6b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

rewrite23.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×times-frac
34×add-cube-cbrt *-un-lft-identity
28×cbrt-prod
24×associate-*r*
18×add-exp-log
11×add-cbrt-cube
pow1
prod-exp cbrt-unprod associate-/l*
associate-/r/ add-log-exp
cbrt-undiv div-exp pow-prod-down associate-/r* unswap-sqr
flip3-- pow1/3 flip-- div-inv
frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 110
Calls

4 calls:

12.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
5.0ms
(/ (cbrt x) (- y (* z t)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series89.0ms (3.4%)

Counts
4 → 12
Calls

4 calls:

31.0ms
(/ (cbrt x) (- y (* z t)))
23.0ms
(cbrt x)
21.0ms
(cbrt x)
15.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

simplify52.0ms (2%)

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050191247

prune124.0ms (4.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1220122
Fresh033
Picked011
Done033
Total1227129

Merged error: 0.9b

Counts
129 → 7

regimes451.0ms (17.2%)

Accuracy

Total 0.1b remaining (2.2%)

Threshold costs 0.1b (2.2%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0347
1347

end0.0ms (0%)

sample429.0ms (16.4%)

Algorithm
intervals
Results
224.0ms8000×body80valid
8.0ms320×body80invalid

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