Details

Time bar (total: 2.9s)

analyze268.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%87.4%12.6%5
9.4%65.5%25.1%6
14%60.8%25.1%7
19.5%49.1%31.4%8
24.6%37.8%37.6%9
28.7%33.7%37.6%10
33.3%26%40.7%11
36.2%19.9%43.8%12
38.6%17.6%43.8%13
41.3%13.3%45.4%14

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
1.0ms26×body80nan
0.0ms2×body80invalid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1164
2234
3414
4644
5744
6864
71124
81904
92534
103584
113604
123614
133614

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.9b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log (/ x y))) z)
0.3b
(* x (log (/ x y)))
17.6b
(log (/ x y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
65×log-prod
45×times-frac
42×add-sqr-sqrt
40×add-cube-cbrt *-un-lft-identity
26×distribute-rgt-in distribute-lft-in associate--l+
8×add-exp-log
7×pow1
5×add-cbrt-cube div-inv add-log-exp
4×associate-*r*
3×associate-*l*
2×rem-log-exp log-pow
1×sub-neg log-div flip3-- diff-log div-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 107
Calls
3 calls:
6.0ms
(- (* x (log (/ x y))) z)
8.0ms
(* x (log (/ x y)))
2.0ms
(log (/ x y))

series30.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(- (* x (log (/ x y))) z)
9.0ms
(* x (log (/ x y)))
7.0ms
(log (/ x y))

simplify100.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0367732
11198668
24130641
35002641

prune133.0ms

Filtered
81 candidates to 116 candidates (-43.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1106116
Fresh000
Picked101
Done000
Total1116117

Merged error: 0b

Counts
117 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series96.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt x)
26.0ms
(cbrt x)
22.0ms
(cbrt y)
22.0ms
(cbrt y)

simplify171.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (36.0ms)

IterNodesCost
0106204
1184188
2373148
31008144
44619128
55001128

prune81.0ms

Filtered
44 candidates to 56 candidates (-27.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New56056
Fresh055
Picked011
Done000
Total56662

Merged error: 0b

Counts
62 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series99.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt x)
26.0ms
(cbrt x)
23.0ms
(cbrt y)
22.0ms
(cbrt y)

simplify176.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (39.0ms)

IterNodesCost
0106204
1184188
2373148
31008144
44619128
55001128

prune77.0ms

Filtered
44 candidates to 56 candidates (-27.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh044
Picked011
Done011
Total56662

Merged error: 0b

Counts
62 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.7b
(+ (* x (log (/ 1 (* (cbrt y) (cbrt y))))) (* x (log (/ x (cbrt y)))))
5.3b
(log (/ x (cbrt y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
80×log-prod
60×times-frac
49×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
44×associate-+r+
33×cbrt-prod
29×distribute-rgt-in distribute-lft-in
14×associate-+l+
7×add-exp-log
6×add-log-exp
5×pow1 div-inv
4×add-cbrt-cube
2×pow1/3 rem-log-exp
1×+-commutative log-div flip3-+ div-exp sum-log log-pow flip-+ distribute-lft-out
Counts
4 → 125
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
14.0ms
(+ (* x (log (/ 1 (* (cbrt y) (cbrt y))))) (* x (log (/ x (cbrt y)))))
3.0ms
(log (/ x (cbrt y)))

series128.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
22.0ms
(cbrt y)
59.0ms
(+ (* x (log (/ 1 (* (cbrt y) (cbrt y))))) (* x (log (/ x (cbrt y)))))
25.0ms
(log (/ x (cbrt y)))

simplify175.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (162.0ms)

IterNodesCost
06311313
116431206
250021179

prune236.0ms

Filtered
119 candidates to 137 candidates (-15.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1370137
Fresh033
Picked011
Done022
Total1376143

Merged error: 0b

Counts
143 → 6

regimes177.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01713
11713

end0.0ms

analyze253.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%87.4%12.6%5
9.4%65.5%25.1%6
14%60.8%25.1%7
19.5%49.1%31.4%8
24.6%37.8%37.6%9
28.7%33.7%37.6%10
33.3%26%40.7%11
36.2%19.9%43.8%12
38.6%17.6%43.8%13
41.3%13.3%45.4%14

sample551.0ms

Algorithm
intervals
Results
333.0ms8000×body80valid
28.0ms754×body80nan
1.0ms31×body80invalid

Profiling

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