Details

Time bar (total: 4.2s)

analyze1.1s

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
6.2%93.6%0.2%9
9.4%90.4%0.2%10
14%83.4%2.5%11
18.7%78.2%3.1%12
28.1%65.5%6.4%13
30.7%59.4%9.9%14

sample48.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
12.0ms190×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04815
14815

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 24.4b

Counts
2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

5.1b
(* z (/ z (* t t)))
5.8b
(* x (/ x (* y y)))
9.8b
(/ z (* t t))
11.3b
(/ x (* y y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
10×prod-exp cbrt-unprod
pow1 cbrt-undiv div-exp
associate-*l* associate-/l*
div-inv add-log-exp unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 98
Calls
4 calls:
6.0ms
(* z (/ z (* t t)))
7.0ms
(* x (/ x (* y y)))
4.0ms
(/ z (* t t))
4.0ms
(/ x (* y y))

series19.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* z (/ z (* t t)))
5.0ms
(* x (/ x (* y y)))
5.0ms
(/ z (* t t))
5.0ms
(/ x (* y y))

simplify43.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05409716

prune162.0ms

Filtered
68 candidates to 110 candidates (-61.8%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New9416110
Fresh101
Picked101
Done000
Total9616112

Merged error: 2.0b

Counts
112 → 16

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* z (/ z (* t t))))
0.3b
(* (/ x y) (/ x y))
5.1b
(* z (/ z (* t t)))
9.8b
(/ z (* t t))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
47×times-frac
37×add-cube-cbrt *-un-lft-identity
30×add-exp-log add-cbrt-cube
20×associate-*r*
16×associate-*l*
13×pow1 swap-sqr
prod-exp cbrt-unprod
cbrt-undiv div-exp
associate-*r/ div-inv add-log-exp unswap-sqr
frac-add associate-/l*
frac-times pow-prod-down associate-*l/ *-commutative
+-commutative pow2 frac-2neg flip3-+ pow-plus clear-num associate-/r* sum-log pow-sqr pow-prod-up flip-+
Counts
4 → 130
Calls
4 calls:
7.0ms
(+ (* (/ x y) (/ x y)) (* z (/ z (* t t))))
9.0ms
(* (/ x y) (/ x y))
6.0ms
(* z (/ z (* t t)))
4.0ms
(/ z (* t t))

series40.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (* (/ x y) (/ x y)) (* z (/ z (* t t))))
8.0ms
(* (/ x y) (/ x y))
5.0ms
(* z (/ z (* t t)))
5.0ms
(/ z (* t t))

simplify42.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
055371196

prune167.0ms

Filtered
89 candidates to 142 candidates (-59.6%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1357142
Fresh7815
Picked101
Done000
Total14315158

Merged error: 0.0b

Counts
158 → 15

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b
(* (/ x y) (/ x y))
0.3b
(* (/ z t) (/ z t))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
80×times-frac
59×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
26×swap-sqr associate-*r* associate-*l*
17×pow1
frac-add
cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
add-log-exp
pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
+-commutative flip3-+ sum-log flip-+
Counts
3 → 154
Calls
3 calls:
7.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
9.0ms
(* (/ x y) (/ x y))
9.0ms
(* (/ z t) (/ z t))

series33.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
5.0ms
(* (/ x y) (/ x y))
5.0ms
(* (/ z t) (/ z t))

simplify49.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049901511
149901511

prune210.0ms

Filtered
104 candidates to 163 candidates (-56.7%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1567163
Fresh6814
Picked101
Done000
Total16315178

Merged error: 0.0b

Counts
178 → 15

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite5.0ms

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

series86.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt z)
21.0ms
(cbrt t)
21.0ms
(cbrt t)
21.0ms
(cbrt t)

simplify43.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05228200

prune51.0ms

Filtered
40 candidates to 56 candidates (-40.0%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New56056
Fresh01414
Picked011
Done000
Total561571

Merged error: 0.0b

Counts
71 → 15

regimes854.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01729
11729

end0.0ms

sample1.1s

Algorithm
intervals
Results
382.0ms8000×body80valid
288.0ms5931×body80invalid

Profiling

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