Details

Time bar (total: 8.0s)

analyze287.0ms

Algorithm
search

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms19×body80invalid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2344
3494
4574
5694
6904
71274
81764
93044
104394
114494
124494

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 2 expressions with local error:

0.0b
(* (- 1.0 x) y)
0.0b
(+ (* (- 1.0 x) y) (* x z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
10.0ms
(* (- 1.0 x) y)
6.0ms
(+ (* (- 1.0 x) y) (* x z))

series20.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (- 1.0 x) y)
14.0ms
(+ (* (- 1.0 x) y) (* x z))

simplify99.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0184181
1787167
24082166
35001166

prune54.0ms

Filtered
29 candidates to 39 candidates (-34.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0.0b

Counts
40 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
0.6b
(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.6b
(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.6b
(cbrt (+ (* (- 1.0 x) y) (* x z)))

rewrite34.0ms

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:
15.0ms
(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
6.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))

series176.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
39.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
37.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
39.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03771497
112181418
250011326

prune249.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh112
Picked011
Done011
Total994103

Merged error: 0.0b

Counts
103 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x z) (* x z))
1.2b
(+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z)))
1.4b
(+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))
39.2b
(/ (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)) (+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
24×*-un-lft-identity
18×add-exp-log add-cbrt-cube
17×pow-prod-down
15×times-frac
14×add-sqr-sqrt add-cube-cbrt
8×prod-exp cbrt-unprod add-log-exp
5×sum-cubes distribute-lft-out associate-/l*
4×associate-+l+ flip3-+ pow-sqr pow-prod-up flip-+
3×associate-/r*
2×+-commutative distribute-rgt-in sub-neg distribute-lft-in pow-plus sum-log associate-/r/ associate-/l/
1×cbrt-undiv pow2 frac-2neg swap-sqr div-exp associate-*r* associate-*l* clear-num *-commutative div-inv
Counts
4 → 101
Calls
4 calls:
6.0ms
(* (* x z) (* x z))
14.0ms
(+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z)))
8.0ms
(+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))
26.0ms
(/ (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)) (+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z))))

series178.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* x z) (* x z))
28.0ms
(+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z)))
43.0ms
(+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))
99.0ms
(/ (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)) (+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z))))

simplify98.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
05051649
124481513
250011510

prune182.0ms

Filtered
69 candidates to 113 candidates (-63.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done022
Total1134117

Merged error: 0.0b

Counts
117 → 4

localize32.0ms

Local error

Found 4 expressions with local error:

22.4b
(/ (* (cbrt (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))) (cbrt (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))))) (* (cbrt (+ (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (- (* (* x z) (* x z)) (* (* (- 1.0 x) y) (* x z))))) (cbrt (- (* (- 1.0 x) y) (* x z)))))
27.6b
(cbrt (+ (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (- (* (* x z) (* x z)) (* (* (- 1.0 x) y) (* x z)))))
27.6b
(cbrt (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))))
38.3b
(cbrt (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
132×associate-*l/
126×cbrt-div
103×flip3-- flip--
72×frac-times
64×frac-add
56×associate-/r/
20×associate-*r/
16×add-exp-log
12×cbrt-prod
9×*-un-lft-identity
8×flip3-+ add-cbrt-cube flip-+ associate-/l/
7×add-sqr-sqrt add-cube-cbrt
4×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
3×pow1/3
1×frac-2neg times-frac clear-num associate-/r* sum-cubes div-inv distribute-lft-out associate-/l* difference-of-squares
Counts
4 → 143
Calls
4 calls:
54.0ms
(/ (* (cbrt (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))) (cbrt (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))))) (* (cbrt (+ (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (- (* (* x z) (* x z)) (* (* (- 1.0 x) y) (* x z))))) (cbrt (- (* (- 1.0 x) y) (* x z)))))
18.0ms
(cbrt (+ (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (- (* (* x z) (* x z)) (* (* (- 1.0 x) y) (* x z)))))
15.0ms
(cbrt (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))))
8.0ms
(cbrt (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)))

series3.9s

Counts
4 → 12
Calls
4 calls:
3.7s
(/ (* (cbrt (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))) (cbrt (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))))) (* (cbrt (+ (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (- (* (* x z) (* x z)) (* (* (- 1.0 x) y) (* x z))))) (cbrt (- (* (- 1.0 x) y) (* x z)))))
87.0ms
(cbrt (+ (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (- (* (* x z) (* x z)) (* (* (- 1.0 x) y) (* x z)))))
57.0ms
(cbrt (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))))
74.0ms
(cbrt (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)))

simplify93.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
015687822
150017589

prune1.3s

Filtered
131 candidates to 155 candidates (-18.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1550155
Fresh000
Picked011
Done033
Total1554159

Merged error: 0.0b

Counts
159 → 4

regimes214.0ms

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
0114
1114

end0.0ms

analyze288.0ms

Algorithm
search

sample433.0ms

Algorithm
intervals
Results
233.0ms8000×body80valid
22.0ms688×body80invalid

Profiling

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