Details

Time bar (total: 3.7s)

analyze875.0ms

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

sample40.0ms

Algorithm
intervals
Results
13.0ms208×body80invalid
11.0ms256×body80valid

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: 26.0b

Counts
2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

5.0b
(* x (/ x (* y y)))
6.7b
(* z (/ z (* t t)))
9.5b
(/ x (* y y))
11.0b
(/ z (* t t))

rewrite25.0ms

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:
7.0ms
(* x (/ x (* y y)))
6.0ms
(* z (/ z (* t t)))
4.0ms
(/ x (* y y))
4.0ms
(/ z (* t t))

series23.0ms

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

prune155.0ms

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

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New9713110
Fresh011
Picked101
Done000
Total9814112

Merged error: 1.8b

Counts
112 → 14

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (/ x (* y y))) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))
5.0b
(* x (/ x (* y y)))
9.5b
(/ x (* y y))

rewrite33.0ms

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
9×prod-exp cbrt-unprod
8×cbrt-undiv div-exp
6×associate-*r/ div-inv add-log-exp unswap-sqr
3×frac-add associate-/l*
2×frac-times pow-prod-down associate-*l/ *-commutative
1×+-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 (/ x (* y y))) (* (/ z t) (/ z t)))
10.0ms
(* (/ z t) (/ z t))
6.0ms
(* x (/ x (* y y)))
5.0ms
(/ x (* y y))

series43.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (* x (/ x (* y y))) (* (/ z t) (/ z t)))
5.0ms
(* (/ z t) (/ z t))
6.0ms
(* x (/ x (* y y)))
5.0ms
(/ x (* y y))

simplify45.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
054971196

prune157.0ms

Filtered
90 candidates to 142 candidates (-57.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1366142
Fresh7613
Picked101
Done000
Total14412156

Merged error: 0.1b

Counts
156 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))
0.4b
(* (/ x y) (/ x y))

rewrite33.0ms

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:
8.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
9.0ms
(* (/ z t) (/ z t))
9.0ms
(* (/ x y) (/ x y))

series41.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
5.0ms
(* (/ z t) (/ z t))
5.0ms
(* (/ x y) (/ x y))

simplify52.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049901511
149901511

prune176.0ms

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

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1558163
Fresh5611
Picked101
Done000
Total16114175

Merged error: 0.0b

Counts
175 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series89.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt x) (cbrt x))
21.0ms
(cbrt x)
23.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify44.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05165356

prune73.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh01313
Picked011
Done000
Total851499

Merged error: 0.0b

Counts
99 → 14

regimes683.0ms

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
01929
11929

end0.0ms

sample997.0ms

Algorithm
intervals
Results
369.0ms8000×body80valid
287.0ms6166×body80invalid

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