Details

Time bar (total: 1.9s)

analyze228.0ms

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
50%50%0.1%4
50%50%0.1%5
68.7%31.2%0.1%6
71.8%28.1%0.1%7
73.4%14%12.6%8
74.1%13.3%12.6%9
74.5%6.6%18.8%10
74.7%6.4%18.8%11
74.8%3.2%22%12
74.9%3.2%22%13
74.9%1.6%23.5%14

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms7×body80invalid

simplify422.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
077
177

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x x) y)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×add-sqr-sqrt
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip-- difference-of-squares
Counts
1 → 12
Calls
1 calls:
6.0ms
(- (* x x) y)

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(- (* x x) y)

simplify41.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04994111
14994111

prune21.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh000
Picked011
Done000
Total14216

Merged error: 0.0b

Counts
16 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) y)
3.0b
(- (pow x 4) (* y y))
29.7b
(/ (- (pow x 4) (* y y)) (+ (* x x) y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×times-frac
15×difference-of-squares
14×add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×associate-/l*
5×add-exp-log unpow-prod-down add-cbrt-cube sqr-pow
3×pow1 associate-/r*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 69
Calls
3 calls:
4.0ms
(+ (* x x) y)
4.0ms
(- (pow x 4) (* y y))
9.0ms
(/ (- (pow x 4) (* y y)) (+ (* x x) y))

series20.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ (* x x) y)
6.0ms
(- (pow x 4) (* y y))
10.0ms
(/ (- (pow x 4) (* y y)) (+ (* x x) y))

simplify39.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
049861034
149861034

prune98.0ms

Filtered
58 candidates to 78 candidates (-34.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New77178
Fresh000
Picked101
Done011
Total78280

Merged error: 0b

Counts
80 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (sqrt (+ y (* x x))))
3.0b
(- (pow x 4) (* y y))
8.6b
(/ (- (pow x 4) (* y y)) (sqrt (+ y (* x x))))
11.4b
(* (/ 1 (sqrt (+ y (* x x)))) (/ (- (pow x 4) (* y y)) (sqrt (+ y (* x x)))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
146×add-sqr-sqrt
130×times-frac
78×*-un-lft-identity
72×add-cube-cbrt
71×sqrt-prod
42×associate-*r* difference-of-squares
32×add-exp-log
24×associate-*l*
20×add-cbrt-cube
15×unswap-sqr
14×unpow-prod-down sqr-pow
12×associate-/r*
11×div-exp
9×associate-/l*
8×pow1 sqrt-div prod-exp associate-/r/
6×cbrt-undiv add-log-exp
4×flip3-+ cbrt-unprod flip-+ div-inv
3×rec-exp pow-flip 1-exp
2×flip3-- frac-2neg clear-num flip-- associate-/l/
1×frac-times sub-neg sqrt-pow1 pow1/2 diff-log div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 231
Calls
4 calls:
5.0ms
(/ 1 (sqrt (+ y (* x x))))
4.0ms
(- (pow x 4) (* y y))
9.0ms
(/ (- (pow x 4) (* y y)) (sqrt (+ y (* x x))))
33.0ms
(* (/ 1 (sqrt (+ y (* x x)))) (/ (- (pow x 4) (* y y)) (sqrt (+ y (* x x)))))

series48.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ 1 (sqrt (+ y (* x x))))
6.0ms
(- (pow x 4) (* y y))
18.0ms
(/ (- (pow x 4) (* y y)) (sqrt (+ y (* x x))))
16.0ms
(* (/ 1 (sqrt (+ y (* x x)))) (/ (- (pow x 4) (* y y)) (sqrt (+ y (* x x)))))

simplify98.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
049954247
149954247

prune240.0ms

Filtered
146 candidates to 243 candidates (-66.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2430243
Fresh000
Picked011
Done011
Total2432245

Merged error: 0b

Counts
245 → 2

regimes170.0ms

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
077
177

end0.0ms

analyze35.0ms

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
50%50%0.1%4
50%50%0.1%5
68.7%31.2%0.1%6
71.8%28.1%0.1%7
73.4%14%12.6%8
74.1%13.3%12.6%9
74.5%6.6%18.8%10
74.7%6.4%18.8%11
74.8%3.2%22%12
74.9%3.2%22%13
74.9%1.6%23.5%14

sample302.0ms

Algorithm
intervals
Results
179.0ms8000×body80valid
4.0ms161×body80invalid

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