Details

Time bar (total: 1.4s)

analyze56.0ms

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
0.0ms6×body80invalid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
167

prune3.0ms

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))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (fabs (- x y)) (fabs y))

simplify68.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04698332
14698332

prune44.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New26430
Fresh000
Picked011
Done000
Total26531

Merged error: 0b

Counts
31 → 5

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)))

rewrite27.0ms

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)))

simplify104.0ms

Algorithm
egg-herbie
Counts
220 → 220
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
049733966
149733966

prune103.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2191220
Fresh123
Picked011
Done011
Total2205225

Merged error: 0b

Counts
225 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* (fabs (- x y)) (sqrt (/ 1 (fabs y)))) (sqrt (fabs y)))
0.2b
(sqrt (/ 1 (fabs y)))
0.3b
(* (fabs (- x y)) (sqrt (/ 1 (fabs y))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
35×sqrt-prod
28×times-frac
25×*-un-lft-identity
23×add-cube-cbrt
16×associate-*r*
10×add-exp-log add-cbrt-cube
7×pow1
6×associate-/r*
4×unswap-sqr
3×rem-sqrt-square sqrt-pow1 sqrt-div associate-*l* div-inv add-log-exp
2×cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod
1×pow-flip frac-2neg pow1/2 pow-prod-down clear-num *-commutative associate-/l/ associate-/l* inv-pow
Counts
3 → 91
Calls
3 calls:
7.0ms
(/ (* (fabs (- x y)) (sqrt (/ 1 (fabs y)))) (sqrt (fabs y)))
3.0ms
(sqrt (/ 1 (fabs y)))
8.0ms
(* (fabs (- x y)) (sqrt (/ 1 (fabs y))))

series22.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ (* (fabs (- x y)) (sqrt (/ 1 (fabs y)))) (sqrt (fabs y)))
6.0ms
(sqrt (/ 1 (fabs y)))
9.0ms
(* (fabs (- x y)) (sqrt (/ 1 (fabs y))))

simplify68.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
050051101

prune102.0ms

Filtered
61 candidates to 100 candidates (-63.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1000100
Fresh022
Picked011
Done022
Total1005105

Merged error: 0b

Counts
105 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.0b
(sqrt (fabs (- x y)))
0.2b
(/ (sqrt (fabs (- x y))) (fabs y))
0.3b
(* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
35×sqrt-prod
22×associate-*r*
11×add-exp-log add-cbrt-cube
8×pow1
6×associate-*l* associate-/l* unswap-sqr
4×add-log-exp
3×associate-/r*
2×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp prod-exp cbrt-unprod div-inv
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 113
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
1.0ms
(sqrt (fabs (- x y)))
4.0ms
(/ (sqrt (fabs (- x y))) (fabs y))
11.0ms
(* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)))

series23.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (fabs (- x y)))
4.0ms
(sqrt (fabs (- x y)))
9.0ms
(/ (sqrt (fabs (- x y))) (fabs y))
6.0ms
(* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)))

simplify84.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
053831366

prune77.0ms

Filtered
75 candidates to 125 candidates (-66.7%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1250125
Fresh011
Picked011
Done033
Total1255130

Merged error: 0b

Counts
130 → 5

regimes146.0ms

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 (0.0ms)

IterNodesCost
067
167

end0.0ms

analyze51.0ms

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

sample297.0ms

Algorithm
intervals
Results
174.0ms8000×body80valid
4.0ms215×body80invalid

Profiling

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