Details

Time bar (total: 1.9s)

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

sample15.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
05714
15714

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

localize12.0ms

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:
4.0ms
(+ x (+ 1.0 (* 4.0 (sqrt x))))
12.0ms
(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
8.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ x (+ 1.0 (* 4.0 (sqrt x))))
8.0ms
(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
7.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

simplify33.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
051481959

prune156.0ms

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
(* 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)

rewrite72.0ms

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:
24.0ms
(* 6.0 (cbrt (pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3)))
8.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
11.0ms
(cbrt (pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3))
10.0ms
(pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3)

series45.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* 6.0 (cbrt (pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3)))
8.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
11.0ms
(cbrt (pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3))
12.0ms
(pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3)

simplify93.0ms

Algorithm
egg-herbie
Counts
281 → 281
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
051585747

prune312.0ms

Filtered
129 candidates to 281 candidates (-117.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2810281
Fresh044
Picked011
Done000
Total2815286

Merged error: 0b

Counts
286 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
126×*-un-lft-identity
86×add-sqr-sqrt
80×times-frac
78×exp-prod
54×log-pow
50×add-cube-cbrt
30×associate-*r*
21×distribute-lft-out
17×distribute-lft-out-- difference-of-squares
9×log-prod
8×pow1 add-exp-log associate-/r/ add-cbrt-cube
5×associate-/l* add-log-exp
4×flip3-+ associate-/r* flip-+ div-inv
3×distribute-rgt-in distribute-lft-in div-sub associate-*l*
2×exp-diff associate-/l/
1×cbrt-undiv log-div flip3-- frac-2neg div-exp rem-log-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod rem-exp-log unswap-sqr
Counts
4 → 171
Calls
4 calls:
20.0ms
(* 6.0 (log (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))))
9.0ms
(exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
8.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
10.0ms
(log (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* 6.0 (log (exp (/ (- x 1.0) (+ 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)))))
7.0ms
(log (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))))

simplify43.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
051703208

prune305.0ms

Filtered
129 candidates to 183 candidates (-41.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1830183
Fresh033
Picked011
Done011
Total1835188

Merged error: 0b

Counts
188 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
9×*-un-lft-identity
8×add-log-exp
7×add-cube-cbrt
5×pow1 associate-*r*
4×associate-*r/
3×times-frac associate-*l* associate-/r* sum-log
2×cbrt-undiv sub-neg flip3-- flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/
1×+-commutative distribute-rgt-in associate-+l+ frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 62
Calls
3 calls:
6.0ms
(* 6.0 (- x 1.0))
5.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
10.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series15.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* 6.0 (- x 1.0))
4.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
8.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify41.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05056903

prune84.0ms

Filtered
55 candidates to 71 candidates (-29.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New70171
Fresh202
Picked011
Done112
Total73376

Merged error: 0b

Counts
76 → 3

regimes59.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01817
11817

end0.0ms

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

sample418.0ms

Algorithm
intervals
Results
323.0ms8000×body80valid
0.0ms4×body80nan

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