Details

Time bar (total: 2.2s)

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

sample26.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
0497014
1497014

prune8.0ms

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

localize8.0ms

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

rewrite32.0ms

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:
8.0ms
(+ 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)))))

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 (22.0ms)

IterNodesCost
055911958

prune157.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1113114
Fresh101
Picked101
Done000
Total1133116

Merged error: 0b

Counts
116 → 3

localize12.0ms

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)))
0.0b
(cbrt (pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3))
0.0b
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
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)))
12.0ms
(cbrt (pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3))
11.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
11.0ms
(pow (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))) 3)

series45.0ms

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

simplify74.0ms

Algorithm
egg-herbie
Counts
281 → 281
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
053085747

prune314.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2810281
Fresh022
Picked011
Done000
Total2813284

Merged error: 0b

Counts
284 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (+ 1.0 (* 4.0 (sqrt x))))
0.0b
(* 6.0 (* (- x 1.0) (/ 1 (+ x (+ 1.0 (* 4.0 (sqrt x)))))))
0.0b
(/ 1 (+ x (+ 1.0 (* 4.0 (sqrt x)))))
0.1b
(* (- x 1.0) (/ 1 (+ x (+ 1.0 (* 4.0 (sqrt x))))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
32×add-exp-log add-sqr-sqrt
26×times-frac
23×add-cube-cbrt
20×add-cbrt-cube
19×associate-*r*
13×prod-exp
12×pow1
9×add-log-exp
8×associate-*r/ associate-*l* distribute-lft-out
7×cbrt-unprod
6×div-exp
4×frac-times flip3-- pow-prod-down associate-*l/ associate-/r* associate-/r/ flip--
3×cbrt-undiv rec-exp flip3-+ 1-exp sum-log flip-+ associate-/l* unswap-sqr
2×un-div-inv *-commutative div-inv
1×+-commutative associate-+r+ pow-flip frac-2neg clear-num distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 126
Calls
4 calls:
5.0ms
(+ x (+ 1.0 (* 4.0 (sqrt x))))
12.0ms
(* 6.0 (* (- x 1.0) (/ 1 (+ x (+ 1.0 (* 4.0 (sqrt x)))))))
6.0ms
(/ 1 (+ x (+ 1.0 (* 4.0 (sqrt x)))))
13.0ms
(* (- x 1.0) (/ 1 (+ x (+ 1.0 (* 4.0 (sqrt x))))))

series27.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ x (+ 1.0 (* 4.0 (sqrt x))))
8.0ms
(* 6.0 (* (- x 1.0) (/ 1 (+ x (+ 1.0 (* 4.0 (sqrt x)))))))
8.0ms
(/ 1 (+ x (+ 1.0 (* 4.0 (sqrt x)))))
7.0ms
(* (- x 1.0) (/ 1 (+ x (+ 1.0 (* 4.0 (sqrt x))))))

simplify36.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
058072161

prune162.0ms

Filtered
90 candidates to 138 candidates (-53.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1380138
Fresh011
Picked011
Done011
Total1383141

Merged error: 0b

Counts
141 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (+ 1.0 (* 4.0 (sqrt x))))
0.0b
(* (- x 1.0) 6.0)
0.6b
(/ (* (- x 1.0) 6.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
11×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
8×add-log-exp
7×add-cube-cbrt
5×pow1 associate-*l*
4×times-frac associate-*l/ associate-/r*
3×associate-*r* sum-log distribute-lft-out
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/
1×+-commutative associate-+r+ frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 63
Calls
3 calls:
5.0ms
(+ x (+ 1.0 (* 4.0 (sqrt x))))
6.0ms
(* (- x 1.0) 6.0)
10.0ms
(/ (* (- x 1.0) 6.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

series15.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05170922

prune89.0ms

Filtered
54 candidates to 72 candidates (-33.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh000
Picked011
Done022
Total72375

Merged error: 0b

Counts
75 → 3

regimes29.0ms

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 (1.0ms)

IterNodesCost
02817
12817

end0.0ms

sample838.0ms

Algorithm
intervals
Results
375.0ms8000×body80valid

Profiling

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