Details

Time bar (total: 2.1s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%25%25%3
50%12.5%37.5%4
50%6.2%43.8%5
50%3.1%46.9%6
50%1.6%48.5%7
50%0.8%49.2%8
50%0.4%49.6%9
50%0.2%49.8%10
50%0.1%49.9%11
50%0%50%12
50%0%50%13
50%0%50%14

sample20.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
0497014
1497014

prune7.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (+ 1.0 (* 4.0 (sqrt x))))
0.0b
(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
0.1b
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
48×add-sqr-sqrt
41×times-frac
26×associate-*r*
25×add-cube-cbrt
12×distribute-lft-out
10×add-exp-log add-cbrt-cube
9×distribute-lft-out-- difference-of-squares
8×add-log-exp
5×pow1 associate-/l*
4×associate-/r* associate-/r/
3×flip3-+ associate-*l* sum-log flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative associate-+r+ flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
3 → 105
Calls
3 calls:
5.0ms
(+ x (+ 1.0 (* 4.0 (sqrt x))))
13.0ms
(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
8.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

series22.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ x (+ 1.0 (* 4.0 (sqrt x))))
10.0ms
(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
7.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

simplify32.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
055911958

prune168.0ms

Filtered
82 candidates to 114 candidates (-39.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1104114
Fresh011
Picked101
Done000
Total1115116

Merged error: 0b

Counts
116 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (+ 1.0 (* 4.0 (sqrt x))))
0.0b
(exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
0.1b
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
1.3b
(pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
97×*-un-lft-identity
63×add-sqr-sqrt
60×times-frac
52×exp-prod
37×add-cube-cbrt
27×pow-pow
17×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
10×add-log-exp
6×add-exp-log associate-/r/ add-cbrt-cube
5×pow1 associate-/l*
4×flip3-+ associate-/r* flip-+
3×unpow-prod-down pow-unpow sum-log div-inv
2×div-sub associate-/l/
1×cbrt-undiv +-commutative pow-to-exp associate-+r+ flip3-- frac-2neg exp-diff div-exp pow-exp clear-num flip-- rem-exp-log sqr-pow
Counts
4 → 138
Calls
4 calls:
5.0ms
(+ x (+ 1.0 (* 4.0 (sqrt x))))
9.0ms
(exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
10.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
12.0ms
(pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0)

series34.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ x (+ 1.0 (* 4.0 (sqrt x))))
9.0ms
(exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
7.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
14.0ms
(pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0)

simplify37.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
049822732
149822732

prune286.0ms

Filtered
108 candidates to 150 candidates (-38.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1491150
Fresh134
Picked011
Done000
Total1505155

Merged error: 0b

Counts
155 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (+ 1.0 (* 4.0 (sqrt x))))
0.0b
(pow E (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
0.1b
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
1.3b
(pow (pow E (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
71×*-un-lft-identity
47×add-sqr-sqrt
40×times-frac
29×add-cube-cbrt pow-unpow
13×unpow-prod-down
12×distribute-lft-out
9×add-exp-log distribute-lft-out-- add-log-exp difference-of-squares
8×pow-exp
6×add-cbrt-cube
5×pow1 associate-/l*
4×associate-/r* associate-/r/
3×pow-to-exp flip3-+ sum-log flip-+ sqr-pow
2×e-exp-1 pow-pow div-sub div-inv associate-/l/
1×cbrt-undiv +-commutative associate-+r+ flip3-- frac-2neg div-exp clear-num flip-- pow-sub
Counts
4 → 126
Calls
4 calls:
5.0ms
(+ x (+ 1.0 (* 4.0 (sqrt x))))
9.0ms
(pow E (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
8.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
4.0ms
(pow (pow E (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0)

series41.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ x (+ 1.0 (* 4.0 (sqrt x))))
11.0ms
(pow E (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
9.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
17.0ms
(pow (pow E (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0)

simplify37.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
050012699

prune252.0ms

Filtered
98 candidates to 138 candidates (-40.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1380138
Fresh033
Picked011
Done011
Total1385143

Merged error: 0b

Counts
143 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 6.0 (cbrt (pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3)))
0.1b
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
0.1b
(cbrt (pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3))
0.1b
(pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
210×*-un-lft-identity
153×add-sqr-sqrt
142×times-frac
122×cbrt-prod
80×add-cube-cbrt unpow-prod-down cube-prod
61×associate-*r*
36×distribute-lft-out
29×distribute-lft-out-- difference-of-squares
14×associate-/r/
11×add-exp-log
10×add-cbrt-cube
7×pow1 flip3-+ flip-+ div-inv unswap-sqr
5×associate-/l*
4×associate-/r* add-log-exp sqr-pow
3×cube-div cube-mult pow-unpow unpow3 associate-*l*
2×cbrt-undiv cbrt-div div-exp pow-exp associate-/l/ rem-cube-cbrt
1×pow-to-exp flip3-- pow-pow frac-2neg pow1/3 div-sub associate-*r/ pow-prod-down prod-exp clear-num *-commutative flip-- rem-cbrt-cube cbrt-unprod
Counts
4 → 269
Calls
4 calls:
26.0ms
(* 6.0 (cbrt (pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3)))
10.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
20.0ms
(cbrt (pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3))
18.0ms
(pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3)

series42.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* 6.0 (cbrt (pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3)))
7.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
10.0ms
(cbrt (pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3))
11.0ms
(pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3)

simplify71.0ms

Algorithm
egg-herbie
Counts
281 → 281
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
053085747

prune292.0ms

Filtered
131 candidates to 281 candidates (-114.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2810281
Fresh022
Picked011
Done022
Total2815286

Merged error: 0b

Counts
286 → 5

regimes74.0ms

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 (1.0ms)

IterNodesCost
02616
12616

end0.0ms

sample423.0ms

Algorithm
intervals
Results
328.0ms8000×body80valid
0.0ms2×body80nan

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