Details

Time bar (total: 4.5s)

analyze849.0ms

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
0%99.8%0.2%7
0%99.8%0.2%8
3.1%71.7%25.1%9
4.7%69.8%25.5%10
7%66.9%26.1%11
10.9%61.5%27.6%12
11.1%47%41.9%13
12.8%44.4%42.8%14

sample52.0ms

Algorithm
intervals
Results
18.0ms316×body80nan
16.0ms256×body80valid

simplify180.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (178.0ms)

IterNodesCost
0520719

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 1.0b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))
1.0b
(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
2.2b
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
4.9b
(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log add-cbrt-cube
34×prod-exp cbrt-unprod
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity times-frac
13×cbrt-undiv div-exp
11×pow1 associate-*r*
9×sqrt-prod associate-/l*
6×associate-*l*
4×pow-prod-down associate-/r* add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative
1×acos-asin div-sub unswap-sqr
Counts
4 → 120
Calls
4 calls:
12.0ms
(* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))
3.0ms
(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
9.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
11.0ms
(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))

series63.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))
8.0ms
(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
10.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
24.0ms
(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049742087
149742087

prune166.0ms

Filtered
86 candidates to 132 candidates (-53.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1311132
Fresh000
Picked011
Done000
Total1312133

Merged error: 0b

Counts
133 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (* 27.0 (* z 2.0)))
0.2b
(* 3.0 (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))
2.2b
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
4.9b
(* x (* 3.0 (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
74×add-exp-log add-cbrt-cube
40×prod-exp cbrt-unprod
20×pow1
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×cbrt-undiv times-frac div-exp associate-*r*
10×pow-prod-down
9×associate-*l* sqrt-prod
6×associate-/l*
4×add-log-exp
3×associate-*r/ *-commutative
2×div-inv
1×frac-2neg clear-num associate-/r* unswap-sqr
Counts
4 → 113
Calls
4 calls:
7.0ms
(* y (* 27.0 (* z 2.0)))
12.0ms
(* 3.0 (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))
9.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
12.0ms
(* x (* 3.0 (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))

series50.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* y (* 27.0 (* z 2.0)))
14.0ms
(* 3.0 (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))
10.0ms
(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
23.0ms
(* x (* 3.0 (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))

simplify56.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049771487
149771487

prune182.0ms

Filtered
69 candidates to 125 candidates (-81.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh000
Picked011
Done011
Total1252127

Merged error: 0b

Counts
127 → 2

regimes291.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03128
13128

end0.0ms

analyze844.0ms

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
0%99.8%0.2%7
0%99.8%0.2%8
3.1%71.7%25.1%9
4.7%69.8%25.5%10
7%66.9%26.1%11
10.9%61.5%27.6%12
11.1%47%41.9%13
12.8%44.4%42.8%14

sample1.6s

Algorithm
intervals
Results
626.0ms10194×body80nan
519.0ms8000×body80valid

Profiling

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