Details

Time bar (total: 1.8s)

sample18.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 50.021364%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

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

prune3.0ms

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 2 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp associate-/r/ flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg flip3-+ pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 51
Calls
2 calls:
6.0ms
(* 6.0 (- x 1.0))
10.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series12.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* 6.0 (- x 1.0))
9.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify48.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0420433
11943375
25002374

prune81.0ms

Filtered
41 candidates to 57 candidates (-39.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New55257
Fresh000
Picked011
Done000
Total55358

Merged error: 0b

Counts
58 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

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))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1 associate-/r/
3×associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 80
Calls
2 calls:
13.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
9.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series18.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
9.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify62.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0573972
12480896
25001894

prune130.0ms

Filtered
65 candidates to 86 candidates (-32.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh011
Picked011
Done011
Total86389

Merged error: 0b

Counts
89 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
6.8b
(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
9.2b
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
16.1b
(* (/ (* 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))))))

rewrite88.0ms

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)))
17.0ms
(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
15.0ms
(+ (* (+ 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))))))

series37.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
7.0ms
(/ (* 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))))))

simplify81.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017075336
150024933

prune676.0ms

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

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1770177
Fresh000
Picked011
Done022
Total1773180

Merged error: 0b

Counts
180 → 3

regimes62.0ms

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

sample398.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 50.021364%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results
310.0ms8000×body80valid

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