Details

Time bar (total: 1.9s)

analyze119.0ms

Algorithm
search

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
0.0ms3×body80invalid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1203
2283
3363
4543
51013
61503
71673
82423
94683
1015473
1150013

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
5.0ms
(+ (+ (* x y) x) y)
4.0ms
(+ (* x y) x)

series8.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (+ (* x y) x) y)
4.0ms
(+ (* x y) x)

simplify50.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0143138
1451129
21660127
35001126

prune29.0ms

Filtered
21 candidates to 31 candidates (-47.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New30131
Fresh000
Picked011
Done000
Total30232

Merged error: 0.0b

Counts
32 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x y) x)
0.2b
(* y (* x y))
2.6b
(* x (- (* y (* x y)) x))
27.3b
(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
11×pow1 add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
6×associate-*l* add-log-exp
5×prod-exp cbrt-unprod
4×flip3-- associate-*r/ associate-*r* pow-prod-down flip--
3×sub-neg times-frac associate-/r*
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp associate-/r/ *-commutative associate-/l/
1×frac-2neg diff-log clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 79
Calls
4 calls:
4.0ms
(- (* x y) x)
5.0ms
(* y (* x y))
7.0ms
(* x (- (* y (* x y)) x))
11.0ms
(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

series42.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (* x y) x)
4.0ms
(* y (* x y))
15.0ms
(* x (- (* y (* x y)) x))
19.0ms
(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

simplify52.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0322546
11686468
25003459

prune71.0ms

Filtered
60 candidates to 91 candidates (-51.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New90191
Fresh000
Picked011
Done011
Total90393

Merged error: 0.0b

Counts
93 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x y) x)
0.1b
(/ x (/ (- (* x y) x) (- (* y (* x y)) x)))
0.2b
(* y (* x y))
9.1b
(/ (- (* x y) x) (- (* y (* x y)) x))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
57×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log add-cbrt-cube
11×associate-/r/
9×pow1
7×flip3-- flip--
6×div-inv associate-/l* add-log-exp
4×cbrt-undiv div-exp
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×frac-2neg clear-num associate-/l/
1×sub-neg diff-log div-sub associate-*r* *-commutative
Counts
4 → 140
Calls
4 calls:
3.0ms
(- (* x y) x)
11.0ms
(/ x (/ (- (* x y) x) (- (* y (* x y)) x)))
5.0ms
(* y (* x y))
10.0ms
(/ (- (* x y) x) (- (* y (* x y)) x))

series39.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (* x y) x)
19.0ms
(/ x (/ (- (* x y) x) (- (* y (* x y)) x)))
3.0ms
(* y (* x y))
12.0ms
(/ (- (* x y) x) (- (* y (* x y)) x))

simplify77.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05561621
127171540
250021538

prune135.0ms

Filtered
119 candidates to 152 candidates (-27.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1511152
Fresh000
Picked101
Done022
Total1523155

Merged error: 0b

Counts
155 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (pow y 2))
0.5b
(/ 1 (pow y 3))
2.9b
(/ x (- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2))))
8.6b
(- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
296×*-un-lft-identity
295×times-frac
201×add-sqr-sqrt
96×add-cube-cbrt
85×distribute-lft-out--
73×div-inv
55×distribute-lft-out
50×associate-/r*
45×difference-of-squares
39×unpow2
34×unpow-prod-down
29×unpow3
24×add-exp-log
20×distribute-rgt-out
18×sqr-pow
13×div-exp
12×cube-prod
10×add-cbrt-cube
9×associate-/l* add-log-exp
6×pow-to-exp rec-exp 1-exp pow-exp frac-sub
5×distribute-rgt-out-- distribute-rgt1-in associate-/r/
4×pow1 cube-mult
3×cbrt-undiv frac-2neg clear-num
2×flip3-- pow-flip flip3-+ diff-log frac-add flip-- flip-+ inv-pow
1×sub-neg associate--l+ sum-log
Counts
4 → 314
Calls
4 calls:
5.0ms
(/ 1 (pow y 2))
5.0ms
(/ 1 (pow y 3))
55.0ms
(/ x (- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2))))
51.0ms
(- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2)))

series26.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 1 (pow y 2))
3.0ms
(/ 1 (pow y 3))
17.0ms
(/ x (- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2))))
3.0ms
(- (+ (/ 1 y) (/ 1 (pow y 3))) (/ 1 (pow y 2)))

simplify131.0ms

Algorithm
egg-herbie
Counts
326 → 326
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
07702858
140522408
250012406

prune299.0ms

Filtered
125 candidates to 326 candidates (-160.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3260326
Fresh000
Picked011
Done022
Total3263329

Merged error: 0b

Counts
329 → 3

regimes111.0ms

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

analyze65.0ms

Algorithm
search

sample314.0ms

Algorithm
intervals
Results
178.0ms7994×body80valid
4.0ms55×body80invalid
0.0ms4×body1280valid
0.0ms2×body640valid

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