Details

Time bar (total: 5.5s)

analyze898.0ms

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
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

sample33.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
8.0ms173×body80invalid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1427
2547
3547

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 36.3b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
20.5b
(/ (* z z) (* t t))
23.7b
(/ (* x x) (* y y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×*-un-lft-identity add-log-exp
3×pow1 add-sqr-sqrt add-cube-cbrt
2×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
1×+-commutative flip3-+ frac-add sum-log flip-+ distribute-lft-out
Counts
3 → 55
Calls
3 calls:
9.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
6.0ms
(/ (* z z) (* t t))
7.0ms
(/ (* x x) (* y y))

series43.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
6.0ms
(/ (* z z) (* t t))
9.0ms
(/ (* x x) (* y y))

simplify44.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0375410
11850329
25002297

prune112.0ms

Filtered
39 candidates to 64 candidates (-64.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New531164
Fresh000
Picked101
Done000
Total541165

Merged error: 5.1b

Counts
65 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
0.3b
(* (/ x y) (/ x y))
20.5b
(/ (* z z) (* t t))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
41×times-frac
31×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
10×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×div-inv add-log-exp
4×unswap-sqr
3×frac-add
2×frac-times associate-*r/ associate-*l/
1×+-commutative pow2 frac-2neg flip3-+ pow-plus pow-prod-down clear-num associate-/r* sum-log pow-sqr *-commutative pow-prod-up flip-+ associate-/l*
Counts
3 → 102
Calls
3 calls:
7.0ms
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
9.0ms
(* (/ x y) (/ x y))
6.0ms
(/ (* z z) (* t t))

series34.0ms

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

simplify71.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0590695
12942594
25001564

prune135.0ms

Filtered
68 candidates to 111 candidates (-63.2%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1029111
Fresh5510
Picked101
Done000
Total10814122

Merged error: 0.1b

Counts
122 → 14

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

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
9×frac-add
8×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
5×add-log-exp
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 154
Calls
3 calls:
6.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
10.0ms
(* (/ z t) (/ z t))
10.0ms
(* (/ x y) (/ x y))

series34.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
5.0ms
(* (/ z t) (/ z t))
5.0ms
(* (/ x y) (/ x y))

simplify104.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
08181019
14079895
25001862

prune198.0ms

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

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New15013163
Fresh8513
Picked101
Done000
Total15918177

Merged error: 0.0b

Counts
177 → 18

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ z t)) (cbrt (/ z t)))
10.7b
(cbrt (/ z t))
10.7b
(cbrt (/ z t))
10.7b
(cbrt (/ z t))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
12.0ms
(* (cbrt (/ z t)) (cbrt (/ z t)))
2.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))

series60.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (cbrt (/ z t)) (cbrt (/ z t)))
12.0ms
(cbrt (/ z t))
13.0ms
(cbrt (/ z t))
12.0ms
(cbrt (/ z t))

simplify93.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
02801133
19701082
238921024
35001989

prune147.0ms

Filtered
119 candidates to 156 candidates (-31.1%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1560156
Fresh01717
Picked011
Done000
Total15618174

Merged error: 0.0b

Counts
174 → 18

regimes1.4s

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01514
11514

end0.0ms

analyze926.0ms

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
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

sample1.0s

Algorithm
intervals
Results
376.0ms8000×body80valid
274.0ms5897×body80invalid

Profiling

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