Details

Time bar (total: 2.6s)

analyze350.0ms

Algorithm
search

sample19.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms26×body80invalid

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (34.0ms)

IterNodesCost
0226
1466
21116
32376
44056
55956
69196
726275
850015

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x z) y)
0.0b
(+ 0.25 (/ (- x z) y))
0.0b
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×add-cube-cbrt
7×add-log-exp
5×add-exp-log add-cbrt-cube associate-/l*
4×distribute-lft-out-- difference-of-squares
3×pow1 associate-/r*
2×+-commutative associate-+r+ flip3-+ div-sub sum-log flip-+ associate-/l/
1×cbrt-undiv distribute-rgt-in associate-+r- flip3-- frac-2neg distribute-lft-in div-exp clear-num flip-- div-inv distribute-lft-out
Counts
3 → 64
Calls
3 calls:
5.0ms
(/ (- x z) y)
10.0ms
(+ 0.25 (/ (- x z) y))
3.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

series18.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (- x z) y)
5.0ms
(+ 0.25 (/ (- x z) y))
7.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

simplify32.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0326399
11055367
25001367

prune80.0ms

Filtered
53 candidates to 73 candidates (-37.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New70373
Fresh101
Picked101
Done000
Total72375

Merged error: 0b

Counts
75 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 4.0 (/ (- x z) y))
0.0b
(+ 2.0 (* 4.0 (/ (- x z) y)))
0.0b
(/ (- x z) y)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
8.0ms
(* 4.0 (/ (- x z) y))
3.0ms
(+ 2.0 (* 4.0 (/ (- x z) y)))
7.0ms
(/ (- x z) y)

series21.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(* 4.0 (/ (- x z) y))
7.0ms
(+ 2.0 (* 4.0 (/ (- x z) y)))
6.0ms
(/ (- x z) y)

simplify43.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0344492
11510453
25001453

prune89.0ms

Filtered
66 candidates to 96 candidates (-45.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New95196
Fresh112
Picked011
Done000
Total96399

Merged error: 0b

Counts
99 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 4.0 (- (/ x y) (/ z y)))
0.0b
(+ 2.0 (* 4.0 (- (/ x y) (/ z y))))
0.0b
(- (/ x y) (/ z y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
20×times-frac
12×associate-*r*
9×add-cube-cbrt
8×distribute-lft-out-- difference-of-squares
7×add-log-exp
5×pow1 add-exp-log sub-neg add-cbrt-cube
4×distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ div-inv
3×associate-*l*
2×flip3-- distribute-rgt-out-- frac-sub flip-- sub-div
1×+-commutative flip3-+ diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 73
Calls
3 calls:
14.0ms
(* 4.0 (- (/ x y) (/ z y)))
4.0ms
(+ 2.0 (* 4.0 (- (/ x y) (/ z y))))
12.0ms
(- (/ x y) (/ z y))

series20.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* 4.0 (- (/ x y) (/ z y)))
7.0ms
(+ 2.0 (* 4.0 (- (/ x y) (/ z y))))
6.0ms
(- (/ x y) (/ z y))

simplify38.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0303474
11198442
25001442

prune72.0ms

Filtered
56 candidates to 82 candidates (-46.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh011
Picked011
Done011
Total82385

Merged error: 0b

Counts
85 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0))
0.2b
(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
3.9b
(- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
21.2b
(/ (+ (pow 1.0 3) (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)) (+ (* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)) (* 1.0 1.0)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt
15×times-frac
14×add-exp-log add-cbrt-cube
12×pow1
10×associate-*r/
7×distribute-rgt-in distribute-lft-in
6×flip3-+ associate--l+ flip-+ add-log-exp
5×associate-/l*
4×frac-times flip3-- pow-prod-down prod-exp sum-cubes flip-- cbrt-unprod distribute-lft-out
3×sub-neg pow-unpow associate-*r* associate-/r*
2×cube-div pow-pow associate-*l/ pow-exp associate-/r/ associate-/l/ rem-cube-cbrt
1×cbrt-undiv cube-mult pow-to-exp unpow-prod-down frac-2neg diff-log unpow3 cube-prod div-exp associate-*l* clear-num *-commutative div-inv sqr-pow
Counts
4 → 111
Calls
4 calls:
21.0ms
(* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0))
11.0ms
(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
13.0ms
(- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
33.0ms
(/ (+ (pow 1.0 3) (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)) (+ (* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)) (* 1.0 1.0)))

series165.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0))
34.0ms
(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
8.0ms
(- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
88.0ms
(/ (+ (pow 1.0 3) (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)) (+ (* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)) (* 1.0 1.0)))

simplify139.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (111.0ms)

IterNodesCost
06752125
137401950
250011944

prune278.0ms

Filtered
84 candidates to 123 candidates (-46.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh000
Picked011
Done022
Total1233126

Merged error: 0b

Counts
126 → 3

regimes132.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

analyze352.0ms

Algorithm
search

sample499.0ms

Algorithm
intervals
Results
286.0ms8000×body80valid
38.0ms936×body80invalid

Profiling

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