Details

Time bar (total: 3.8s)

analyze384.0ms

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

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms7×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
087
187

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.1b
(/ x (- y (* z t)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 40
Calls
2 calls:
3.0ms
(- y (* z t))
5.0ms
(/ x (- y (* z t)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(- y (* z t))
12.0ms
(/ x (- y (* z t)))

simplify41.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05051450

prune65.0ms

Filtered
36 candidates to 46 candidates (-27.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New40646
Fresh000
Picked011
Done000
Total40747

Merged error: 3.1b

Counts
47 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.4b
(/ 1 (/ (- y (* z t)) x))
3.1b
(/ (- y (* z t)) x)

rewrite18.0ms

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
8×div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 117
Calls
3 calls:
3.0ms
(- y (* z t))
6.0ms
(/ 1 (/ (- y (* z t)) x))
5.0ms
(/ (- y (* z t)) x)

series46.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(- y (* z t))
27.0ms
(/ 1 (/ (- y (* z t)) x))
12.0ms
(/ (- y (* z t)) x)

simplify67.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049351564
149351564

prune108.0ms

Filtered
79 candidates to 126 candidates (-59.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1251126
Fresh055
Picked011
Done011
Total1258133

Merged error: 0.0b

Counts
133 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.7b
(/ (cbrt x) (- y (* z t)))
1.7b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

rewrite23.0ms

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
9×pow1
6×prod-exp cbrt-unprod associate-/l*
4×associate-/r/ add-log-exp
3×cbrt-undiv div-exp pow-prod-down associate-/r* unswap-sqr
2×flip3-- pow1/3 flip-- div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
5.0ms
(/ (cbrt x) (- y (* z t)))
13.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

series94.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
23.0ms
(cbrt x)
34.0ms
(/ (cbrt x) (- y (* z t)))
16.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

simplify61.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049331218
149331218

prune107.0ms

Filtered
86 candidates to 122 candidates (-41.9%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1220122
Fresh055
Picked011
Done022
Total1228130

Merged error: 0.0b

Counts
130 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
10.5b
(cbrt (- y (* z t)))
10.5b
(cbrt (- y (* z t)))
10.5b
(cbrt (- y (* z t)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip--
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))

series129.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt x)
34.0ms
(cbrt (- y (* z t)))
34.0ms
(cbrt (- y (* z t)))
37.0ms
(cbrt (- y (* z t)))

simplify39.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
04990577
14990577

prune65.0ms

Filtered
52 candidates to 62 candidates (-19.2%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New62062
Fresh044
Picked011
Done033
Total62870

Merged error: 0.0b

Counts
70 → 8

regimes686.0ms

Accuracy

38% (1.7b remaining)

Error of 1.8b against oracle of 0.1b and baseline of 2.8b

bsearch1.0s

Steps
ItersRangePoint
7
1.1205627175566917e+136
1.4415193769532032e+138
5.936007742273862e+137
7
3.7559968736642913e-07
6.626201175596421e-05
6.44714268270964e-05
8
-4.782382300250175e+58
-6.1250057876366635e+54
-1.7161934292680816e+58

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02750
12750

end0.0ms

analyze373.0ms

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

sample424.0ms

Algorithm
intervals
Results
222.0ms8000×body80valid
9.0ms346×body80invalid

Profiling

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