Details

Time bar (total: 1.3s)

analyze53.0ms

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
37.5%62.4%0.1%5
43.7%56.2%0.1%6
71.8%28.1%0.1%7
73.4%25%1.7%8
80.4%16.4%3.2%9
80.8%14%5.2%10
84.1%8.8%7.1%11
84.2%7.4%8.4%12
85.8%4.5%9.7%13
85.8%3.8%10.4%14

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
0.0ms8×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
167

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (fabs (- x y)) (fabs y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 27
Calls
1 calls:
3.0ms
(/ (fabs (- x y)) (fabs y))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(/ (fabs (- x y)) (fabs y))

simplify72.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04698332
14698332

prune36.0ms

Filtered
22 candidates to 30 candidates (-36.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New27330
Fresh000
Picked011
Done000
Total27431

Merged error: 0b

Counts
31 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (fabs y) (fabs (- x y)))
0.1b
(/ 1 (/ (fabs y) (fabs (- x y))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 103
Calls
2 calls:
3.0ms
(/ (fabs y) (fabs (- x y)))
6.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (fabs y) (fabs (- x y)))
5.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify88.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
048841440
148841440

prune78.0ms

Filtered
68 candidates to 109 candidates (-60.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh022
Picked011
Done011
Total1094113

Merged error: 0b

Counts
113 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b
(* (fabs (- x y)) (/ 1 (fabs y)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×add-exp-log *-un-lft-identity
9×add-cube-cbrt
6×add-cbrt-cube
4×prod-exp
3×pow1 associate-*l* unswap-sqr
2×div-exp cbrt-unprod
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv add-log-exp
Counts
1 → 36
Calls
1 calls:
8.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

simplify62.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04737353
14737353

prune31.0ms

Filtered
24 candidates to 39 candidates (-62.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New39039
Fresh011
Picked011
Done022
Total39443

Merged error: 0b

Counts
43 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ (fabs (- x y)) (sqrt (fabs y))) (sqrt (fabs y)))
0.4b
(/ (fabs (- x y)) (sqrt (fabs y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
154×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
144×sqrt-prod
25×associate-/l*
12×associate-/r*
9×add-exp-log add-cbrt-cube div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 214
Calls
2 calls:
9.0ms
(/ (/ (fabs (- x y)) (sqrt (fabs y))) (sqrt (fabs y)))
4.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (/ (fabs (- x y)) (sqrt (fabs y))) (sqrt (fabs y)))
9.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))

simplify109.0ms

Algorithm
egg-herbie
Counts
220 → 220
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
049733966
149733966

prune91.0ms

Filtered
94 candidates to 220 candidates (-134.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2200220
Fresh000
Picked011
Done033
Total2204224

Merged error: 0b

Counts
224 → 4

regimes141.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
167

end0.0ms

analyze57.0ms

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
37.5%62.4%0.1%5
43.7%56.2%0.1%6
71.8%28.1%0.1%7
73.4%25%1.7%8
80.4%16.4%3.2%9
80.8%14%5.2%10
84.1%8.8%7.1%11
84.2%7.4%8.4%12
85.8%4.5%9.7%13
85.8%3.8%10.4%14

sample301.0ms

Algorithm
intervals
Results
177.0ms8000×body80valid
5.0ms222×body80invalid

Profiling

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