Details

Time bar (total: 2.6s)

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

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1397
2617
3807
41057
51147
61147

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

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))
0.4b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite23.0ms

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 distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/
1×+-commutative associate-+l+ frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
5.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
6.0ms
(* 6.0 (- x 1.0))
10.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series27.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
6.0ms
(* 6.0 (- x 1.0))
15.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify80.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0492549
12177479
25002478

prune222.0ms

Filtered
55 candidates to 73 candidates (-32.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New69473
Fresh000
Picked101
Done000
Total70474

Merged error: 0b

Counts
74 → 4

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))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
8×add-log-exp
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
4×associate-/r/
3×flip3-+ associate-*l* associate-/r* sum-log flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative associate-+l+ flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
3 → 93
Calls
3 calls:
7.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
15.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
10.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series25.0ms

Counts
3 → 9
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)))))
9.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify72.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06341087
126751000
25001998

prune208.0ms

Filtered
80 candidates to 102 candidates (-27.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1020102
Fresh033
Picked011
Done000
Total1024106

Merged error: 0b

Counts
106 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (sqrt x) (sqrt 1.0))
0.2b
(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))
0.2b
(* 6.0 (+ (sqrt x) (sqrt 1.0)))
0.4b
(/ (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-exp-log add-cbrt-cube
18×associate-*r/
14×associate-*r* sqrt-prod
11×pow1
9×add-cube-cbrt
8×frac-times flip3-+ flip-+ associate-/l/ difference-of-squares
7×flip3-- prod-exp flip-- cbrt-unprod
6×add-log-exp
4×associate-*l* pow-prod-down associate-*l/ distribute-lft-out--
3×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in times-frac div-exp associate-/r*
2×associate-/r/ *-commutative distribute-lft-out
1×frac-2neg diff-log clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 111
Calls
4 calls:
6.0ms
(- (sqrt x) (sqrt 1.0))
24.0ms
(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))
15.0ms
(* 6.0 (+ (sqrt x) (sqrt 1.0)))
35.0ms
(/ (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series56.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- (sqrt x) (sqrt 1.0))
13.0ms
(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))
5.0ms
(* 6.0 (+ (sqrt x) (sqrt 1.0)))
34.0ms
(/ (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify38.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09511527
150011223

prune227.0ms

Filtered
91 candidates to 123 candidates (-35.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh022
Picked011
Done011
Total1234127

Merged error: 0b

Counts
127 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
5.3b
(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
7.0b
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
12.9b
(* (/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
48×frac-add
45×pow1
42×frac-times
41×flip3-+ flip-+
32×associate-*r/
30×add-exp-log add-cbrt-cube
25×flip3-- flip--
18×pow-prod-down
15×*-un-lft-identity
13×associate-*l/ prod-exp cbrt-unprod
12×associate-*l*
11×add-sqr-sqrt
10×times-frac
9×add-cube-cbrt add-log-exp
5×associate-/r*
4×cbrt-undiv div-exp associate-*r* associate-/r/ pow-sqr pow-prod-up
3×sum-cubes distribute-lft-out
2×distribute-rgt-in associate-+l+ associate-+r+ distribute-lft-in pow-plus sum-log *-commutative div-inv associate-/l/
1×+-commutative pow2 associate-+r- sub-neg frac-2neg diff-log swap-sqr clear-num associate-/l* unswap-sqr
Counts
4 → 165
Calls
4 calls:
8.0ms
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
19.0ms
(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
16.0ms
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
36.0ms
(* (/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

series38.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
8.0ms
(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
9.0ms
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
18.0ms
(* (/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

simplify84.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
017075336
150024933

prune669.0ms

Filtered
122 candidates to 177 candidates (-45.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1770177
Fresh011
Picked011
Done022
Total1774181

Merged error: 0b

Counts
181 → 4

regimes66.0ms

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
0157
1157

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

sample474.0ms

Algorithm
intervals
Results
370.0ms8000×body80valid
0.0ms1×body80nan

Profiling

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