Details

Time bar (total: 4.3s)

analyze1.2s

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

sample37.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
8.0ms182×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04815
14815

prune12.0ms

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: 24.8b

Counts
2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

4.4b
(* x (/ x (* y y)))
4.9b
(* z (/ z (* t t)))
9.8b
(/ x (* y y))
11.3b
(/ z (* t t))

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
8×pow1 cbrt-undiv div-exp
6×associate-*l* associate-/l*
4×div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 98
Calls
4 calls:
6.0ms
(* x (/ x (* y y)))
6.0ms
(* z (/ z (* t t)))
4.0ms
(/ x (* y y))
4.0ms
(/ z (* t t))

series20.0ms

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

simplify45.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05409716

prune150.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New9911110
Fresh011
Picked101
Done000
Total10012112

Merged error: 1.8b

Counts
112 → 12

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ z t) (/ z t))
4.4b
(* x (/ x (* y y)))
9.8b
(/ x (* y y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
47×times-frac
36×add-cube-cbrt *-un-lft-identity
29×add-exp-log add-cbrt-cube
20×associate-*r*
16×associate-*l*
13×swap-sqr
12×pow1
9×prod-exp cbrt-unprod
8×cbrt-undiv div-exp
6×div-inv unswap-sqr
3×associate-/l* add-log-exp
2×associate-*r/ pow-prod-down *-commutative
1×pow2 frac-times frac-2neg pow-plus associate-*l/ clear-num associate-/r* pow-sqr pow-prod-up
Counts
3 → 116
Calls
3 calls:
9.0ms
(* (/ z t) (/ z t))
7.0ms
(* x (/ x (* y y)))
4.0ms
(/ x (* y y))

series15.0ms

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

simplify60.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04977848
14977848

prune151.0ms

Filtered
77 candidates to 125 candidates (-62.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1187125
Fresh8311
Picked101
Done000
Total12710137

Merged error: 0.1b

Counts
137 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt
80×times-frac
58×add-cube-cbrt *-un-lft-identity
26×add-exp-log swap-sqr associate-*r* associate-*l* add-cbrt-cube
16×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up add-log-exp
Counts
2 → 134
Calls
2 calls:
9.0ms
(* (/ z t) (/ z t))
10.0ms
(* (/ x y) (/ x y))

series10.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (/ z t) (/ z t))
5.0ms
(* (/ x y) (/ x y))

simplify48.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
054811056

prune167.0ms

Filtered
87 candidates to 140 candidates (-60.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1337140
Fresh459
Picked101
Done000
Total13812150

Merged error: 0.0b

Counts
150 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (* x (* (cbrt x) (/ (cbrt x) y))) (/ (cbrt x) y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
26×add-cbrt-cube
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac prod-exp cbrt-unprod
13×pow1
6×cbrt-undiv div-exp pow-prod-down
5×associate-*r/
4×add-log-exp
3×pow1/3
1×frac-times associate-*l* associate-*l/ *-commutative div-inv
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
16.0ms
(* (* x (* (cbrt x) (/ (cbrt x) y))) (/ (cbrt x) y))

series74.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
20.0ms
(cbrt x)
21.0ms
(cbrt x)
9.0ms
(* (* x (* (cbrt x) (/ (cbrt x) y))) (/ (cbrt x) y))

simplify65.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04961682
14961682

prune77.0ms

Filtered
59 candidates to 98 candidates (-66.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New96298
Fresh11011
Picked101
Done000
Total9812110

Merged error: 0.0b

Counts
110 → 12

regimes1.0s

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02230
12230

end0.0ms

sample1.0s

Algorithm
intervals
Results
375.0ms8000×body80valid
274.0ms5730×body80invalid

Profiling

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