Details

Time bar (total: 2.7s)

analyze248.0ms

Algorithm
search

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
0.0ms23×body80invalid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1173
2313
3463
4533
5623
6803
71183
82353
94673
107503
1111363
1218183
1350023

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (* y (- z x)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
4×associate-+r+
3×add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 15
Calls
1 calls:
5.0ms
(+ x (* y (- z x)))

series14.0ms

Counts
1 → 3
Calls
1 calls:
14.0ms
(+ x (* y (- z x)))

simplify40.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
09587
129377
2139177
3500177

prune19.0ms

Filtered
12 candidates to 18 candidates (-50.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219

Merged error: 0.0b

Counts
19 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (+ x (* y (- z x)))) (cbrt (+ x (* y (- z x)))))
0.6b
(cbrt (+ x (* y (- z x))))
0.6b
(cbrt (+ x (* y (- z x))))
0.6b
(cbrt (+ x (* y (- z x))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
8.0ms
(* (cbrt (+ x (* y (- z x)))) (cbrt (+ x (* y (- z x)))))
2.0ms
(cbrt (+ x (* y (- z x))))
2.0ms
(cbrt (+ x (* y (- z x))))
2.0ms
(cbrt (+ x (* y (- z x))))

series277.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (cbrt (+ x (* y (- z x)))) (cbrt (+ x (* y (- z x)))))
78.0ms
(cbrt (+ x (* y (- z x))))
49.0ms
(cbrt (+ x (* y (- z x))))
56.0ms
(cbrt (+ x (* y (- z x))))

simplify44.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03341245
111261180
250011111

prune121.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh000
Picked011
Done011
Total974101

Merged error: 0.0b

Counts
101 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (* y (- z x))))
0.6b
(cbrt (- x (* y (- z x))))
5.4b
(- (* x x) (* (* y (- z x)) (* y (- z x))))
29.8b
(cbrt (- (* x x) (* (* y (- z x)) (* y (- z x)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
8×distribute-rgt-in distribute-lft-in associate--r+
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div add-log-exp
5×sub-neg
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip--
2×difference-of-squares
1×flip3-+ diff-log flip-+
Counts
4 → 61
Calls
4 calls:
2.0ms
(cbrt (+ x (* y (- z x))))
2.0ms
(cbrt (- x (* y (- z x))))
4.0ms
(- (* x x) (* (* y (- z x)) (* y (- z x))))
5.0ms
(cbrt (- (* x x) (* (* y (- z x)) (* y (- z x)))))

series238.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(cbrt (+ x (* y (- z x))))
51.0ms
(cbrt (- x (* y (- z x))))
22.0ms
(- (* x x) (* (* y (- z x)) (* y (- z x))))
117.0ms
(cbrt (- (* x x) (* (* y (- z x)) (* y (- z x)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0488873
11621817
25001805

prune105.0ms

Filtered
63 candidates to 73 candidates (-15.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New73073
Fresh011
Picked011
Done022
Total73477

Merged error: 0.0b

Counts
77 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

4.0b
(+ (pow x 3) (pow (* y (- z x)) 3))
4.4b
(- (* (* y (- z x)) (* y (- z x))) (* x (* y (- z x))))
29.8b
(cbrt (+ (* x x) (- (* (* y (- z x)) (* y (- z x))) (* x (* y (- z x))))))
38.8b
(cbrt (+ (pow x 3) (pow (* y (- z x)) 3)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
74×associate-*r/
25×flip3-- flip--
16×distribute-rgt-in distribute-lft-in frac-sub
10×*-un-lft-identity
9×sub-neg
8×cbrt-prod frac-times associate--l+ associate--r+ add-log-exp
6×add-sqr-sqrt add-cube-cbrt associate-*l/
4×pow1 add-exp-log cbrt-div add-cbrt-cube sub-div
3×flip3-+ flip-+
2×pow1/3 sum-cubes distribute-lft-out
1×+-commutative distribute-rgt-out-- diff-log sum-log
Counts
4 → 90
Calls
4 calls:
8.0ms
(+ (pow x 3) (pow (* y (- z x)) 3))
15.0ms
(- (* (* y (- z x)) (* y (- z x))) (* x (* y (- z x))))
10.0ms
(cbrt (+ (* x x) (- (* (* y (- z x)) (* y (- z x))) (* x (* y (- z x))))))
8.0ms
(cbrt (+ (pow x 3) (pow (* y (- z x)) 3)))

series240.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (pow x 3) (pow (* y (- z x)) 3))
25.0ms
(- (* (* y (- z x)) (* y (- z x))) (* x (* y (- z x))))
99.0ms
(cbrt (+ (* x x) (- (* (* y (- z x)) (* y (- z x))) (* x (* y (- z x))))))
75.0ms
(cbrt (+ (pow x 3) (pow (* y (- z x)) 3)))

simplify121.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
09421582
143031401
250021393

prune192.0ms

Filtered
78 candidates to 102 candidates (-30.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1020102
Fresh000
Picked011
Done033
Total1024106

Merged error: 0.0b

Counts
106 → 4

regimes190.0ms

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
083
183

end0.0ms

analyze241.0ms

Algorithm
search

sample335.0ms

Algorithm
intervals
Results
174.0ms8000×body80valid
11.0ms547×body80invalid

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