Details

Time bar (total: 2.2s)

analyze364.0ms

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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
40.6%56.9%2.5%9
46%49.5%4.4%10
50.3%44.9%4.8%11
60.3%30.5%9.2%12
62.9%25.7%11.4%13
65.2%23.2%11.7%14

sample19.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms26×body80invalid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
0511611

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r*
2×pow1 associate-+r+ associate-/l/
1×cbrt-undiv +-commutative distribute-rgt-in flip3-- frac-2neg distribute-lft-in flip3-+ div-sub div-exp clear-num sum-log flip-- flip-+ div-inv
Counts
2 → 51
Calls
2 calls:
5.0ms
(/ (- x z) y)
3.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (- x z) y)
7.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))

simplify43.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05264584

prune70.0ms

Filtered
42 candidates to 57 candidates (-35.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New55257
Fresh000
Picked101
Done000
Total56258

Merged error: 0b

Counts
58 → 2

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×associate-+r+
1×pow1 add-exp-log +-commutative distribute-rgt-in add-sqr-sqrt add-cube-cbrt *-un-lft-identity distribute-lft-in flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
3.0ms
(+ 1.0 (* 4.0 (+ 0.25 (- (/ x y) (/ z y)))))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(+ 1.0 (* 4.0 (+ 0.25 (- (/ x y) (/ z y)))))

simplify41.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05437251

prune26.0ms

Filtered
13 candidates to 16 candidates (-23.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New16016
Fresh011
Picked011
Done000
Total16218

Merged error: 0b

Counts
18 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ 0.25 (/ (- x z) y)) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0))
0.1b
(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
4.9b
(- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
24.8b
(/ (+ (pow 1.0 3) (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)) (+ (* 1.0 1.0) (* 4.0 (* (+ 0.25 (/ (- x z) y)) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
19×add-sqr-sqrt
17×add-cube-cbrt
15×times-frac
11×add-exp-log add-cbrt-cube
9×pow1
6×distribute-rgt-in distribute-lft-in flip3-+ associate--l+ flip-+ add-log-exp
5×distribute-lft-out associate-/l*
4×frac-times flip3-- associate-*r/ associate-*l* sum-cubes flip--
3×sub-neg pow-unpow associate-*r* associate-/r*
2×cube-div pow-pow pow-prod-down associate-*l/ pow-exp prod-exp associate-/r/ cbrt-unprod 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 clear-num *-commutative div-inv unswap-sqr sqr-pow
Counts
4 → 109
Calls
4 calls:
20.0ms
(* (+ 0.25 (/ (- x z) y)) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0))
10.0ms
(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
10.0ms
(- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
13.0ms
(/ (+ (pow 1.0 3) (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)) (+ (* 1.0 1.0) (* 4.0 (* (+ 0.25 (/ (- x z) y)) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)))))

series144.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (+ 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)
86.0ms
(/ (+ (pow 1.0 3) (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)) (+ (* 1.0 1.0) (* 4.0 (* (+ 0.25 (/ (- x z) y)) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049703833
149703833

prune293.0ms

Filtered
87 candidates to 121 candidates (-39.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh000
Picked011
Done011
Total1212123

Merged error: 0b

Counts
123 → 2

regimes124.0ms

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
01513
11513

end0.0ms

analyze356.0ms

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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
40.6%56.9%2.5%9
46%49.5%4.4%10
50.3%44.9%4.8%11
60.3%30.5%9.2%12
62.9%25.7%11.4%13
65.2%23.2%11.7%14

sample505.0ms

Algorithm
intervals
Results
288.0ms8000×body80valid
38.0ms926×body80invalid

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