Details

Time bar (total: 1.9s)

analyze44.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
50%50%0.1%4
50%50%0.1%5
74.9%25%0.1%6
74.9%25%0.1%7
87.4%12.5%0.1%8
87.4%12.5%0.1%9
93.7%6.2%0.1%10
93.7%6.2%0.1%11
96.8%3.1%0.1%12
96.8%3.1%0.1%13
98.3%1.6%0.1%14

sample15.0ms

Algorithm
intervals
Results
5.0ms230×body80valid
1.0ms12×body1280valid
1.0ms5×body2560valid
0.0ms5×body640valid
0.0ms3×body320valid
0.0ms1×body160valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
03567
13567

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r- flip3-+ div-sub sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 13
Calls
1 calls:
8.0ms
(+ x (/ (- x y) 2.0))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(+ x (/ (- x y) 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04988157
14988157

prune38.0ms

Filtered
12 candidates to 16 candidates (-33.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New11516
Fresh000
Picked101
Done000
Total12517

Merged error: 0.1b

Counts
17 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x 1.5) (* y 0.5))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 11
Calls
1 calls:
3.0ms
(- (* x 1.5) (* y 0.5))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(- (* x 1.5) (* y 0.5))

simplify46.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05477151

prune26.0ms

Filtered
10 candidates to 14 candidates (-40.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New13114
Fresh224
Picked011
Done000
Total15419

Merged error: 0.1b

Counts
19 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.5b
(cbrt (+ x (/ (- x y) 2.0)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
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 → 95
Calls
4 calls:
21.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
9.0ms
(cbrt (+ x (/ (- x y) 2.0)))
10.0ms
(cbrt (+ x (/ (- x y) 2.0)))

series174.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
43.0ms
(cbrt (+ x (/ (- x y) 2.0)))
41.0ms
(cbrt (+ x (/ (- x y) 2.0)))
43.0ms
(cbrt (+ x (/ (- x y) 2.0)))

simplify52.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
051741558

prune220.0ms

Filtered
79 candidates to 107 candidates (-35.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1016107
Fresh022
Picked101
Done011
Total1029111

Merged error: 0.0b

Counts
111 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.5b
(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
0.6b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
35×cbrt-prod
19×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
8×cbrt-div
7×unpow-prod-down
4×pow1 add-exp-log pow1/3 add-cbrt-cube distribute-lft-out add-log-exp
3×flip3-+ flip-+
1×unpow2 sqr-pow
Counts
4 → 65
Calls
4 calls:
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
10.0ms
(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series173.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cbrt (+ x (/ (- x y) 2.0)))
42.0ms
(cbrt (+ x (/ (- x y) 2.0)))
47.0ms
(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
43.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify61.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049591048
149591048

prune220.0ms

Filtered
65 candidates to 77 candidates (-18.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh077
Picked011
Done011
Total77986

Merged error: 0.0b

Counts
86 → 9

regimes265.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0357
1357

end0.0ms

sample355.0ms

Algorithm
intervals
Results
173.0ms7395×body80valid
20.0ms207×body1280valid
12.0ms153×body640valid
10.0ms82×body2560valid
6.0ms104×body320valid
2.0ms59×body160valid
0.0ms2×body80invalid

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