Details

Time bar (total: 2.0s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1143
2173
3183
4183

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.9b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

8.3b
(/ (* x y) (+ y 1.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-exp-log add-cbrt-cube
times-frac associate-/r*
add-sqr-sqrt add-cube-cbrt
cbrt-undiv div-exp associate-/r/ distribute-lft-out
pow1 expm1-log1p-u frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
6.0ms
(/ (* x y) (+ y 1.0))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(/ (* x y) (+ y 1.0))

simplify124.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 3 (120.0ms)

IterNodesCost
0200154
1910129
24740126
35001124

prune50.0ms

Filtered
30 candidates to 22 candidates (73.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New27330
Fresh000
Picked101
Done000
Total28331

Merged error: 0b

Counts
31 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (+ y 1.0))
0.0b
(* x (/ y (+ y 1.0)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out
pow1 associate-/r* associate-/r/
associate-*l* associate-/l*
cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 74
Calls
2 calls:
5.0ms
(/ y (+ y 1.0))
9.0ms
(* x (/ y (+ y 1.0)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ y (+ y 1.0))
46.0ms
(* x (/ y (+ y 1.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0305392
11398354
25001349

prune108.0ms

Filtered
80 candidates to 57 candidates (71.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New80080
Fresh022
Picked011
Done000
Total80383

Merged error: 0b

Counts
83 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

5.8b
(* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
12.1b
(/ (* x y) (- (* y y) (* 1.0 1.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity
19×add-cube-cbrt
18×prod-diff
16×add-exp-log add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
10×associate-*l*
times-frac
associate-*r* prod-exp cbrt-unprod
pow1 cbrt-undiv flip3-- div-exp associate-/r* associate-/r/ flip-- difference-of-squares
expm1-log1p-u frac-times sub-neg associate-*r/ log1p-expm1-u div-inv add-log-exp
frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 87
Calls
2 calls:
13.0ms
(* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
7.0ms
(/ (* x y) (- (* y y) (* 1.0 1.0)))

series172.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
85.0ms
(/ (* x y) (- (* y y) (* 1.0 1.0)))

simplify80.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
05461090
13194863
25001859

prune124.0ms

Filtered
93 candidates to 57 candidates (61.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh011
Picked011
Done011
Total93396

Merged error: 0b

Counts
96 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ y 1.0))
0.1b
(/ x (sqrt (+ y 1.0)))
0.1b
(/ y (sqrt (+ y 1.0)))
1.9b
(* (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt
96×times-frac
95×*-un-lft-identity
66×sqrt-prod
65×add-cube-cbrt
27×associate-*r* associate-*l*
20×add-exp-log add-cbrt-cube
15×distribute-lft-out
14×associate-/r*
10×sqrt-div
unswap-sqr
associate-/r/
pow1
cbrt-undiv div-exp associate-/l*
flip3-+ flip-+
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
frac-2neg clear-num
frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ *-commutative hypot-def
Counts
4 → 198
Calls
4 calls:
3.0ms
(sqrt (+ y 1.0))
6.0ms
(/ x (sqrt (+ y 1.0)))
6.0ms
(/ y (sqrt (+ y 1.0)))
29.0ms
(* (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))

series285.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(sqrt (+ y 1.0))
90.0ms
(/ x (sqrt (+ y 1.0)))
121.0ms
(/ y (sqrt (+ y 1.0)))
43.0ms
(* (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))

simplify78.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06931673
130701537
250021442

prune334.0ms

Filtered
210 candidates to 137 candidates (65.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2100210
Fresh000
Picked011
Done022
Total2103213

Merged error: 0b

Counts
213 → 3

regimes28.0ms

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
083
183

end0.0ms

sample315.0ms

Algorithm
intervals
Results
188.0ms8000×body80valid

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