Details

Time bar (total: 2.0s)

sample15.0ms

Algorithm
intervals
Results
5.0ms241×body80valid
1.0ms7×body1280valid
0.0ms4×body640valid
0.0ms2×body2560valid
0.0ms1×body320valid
0.0ms1×body160valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (14.0ms)

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:
9.0ms
(+ x (/ (- x y) 2.0))

series5.0ms

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

simplify41.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04988157
14988157

prune30.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New13316
Fresh000
Picked011
Done000
Total13417

Merged error: 0.0b

Counts
17 → 4

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 → 12
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))

simplify45.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05477155

prune24.0ms

Filtered
10 candidates to 15 candidates (-50.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New14115
Fresh022
Picked011
Done011
Total14519

Merged error: 0.0b

Counts
19 → 5

localize9.0ms

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

rewrite52.0ms

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:
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
23.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

series183.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(cbrt (+ x (/ (- x y) 2.0)))
44.0ms
(cbrt (+ x (/ (- x y) 2.0)))
43.0ms
(cbrt (+ x (/ (- x y) 2.0)))
52.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
051741558

prune215.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1043107
Fresh112
Picked101
Done022
Total1066112

Merged error: 0.0b

Counts
112 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
40×*-un-lft-identity
28×add-sqr-sqrt
20×add-cube-cbrt
16×cbrt-div
14×unpow-prod-down
12×pow1
9×pow1/3 swap-sqr distribute-lft-out
7×add-exp-log flip3-+ associate-*r* associate-*l* flip-+
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
3×pow-unpow
2×pow-pow associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up unpow2 sqr-pow
1×pow2 pow-to-exp pow-plus pow-exp prod-exp *-commutative cbrt-unprod
Counts
4 → 113
Calls
4 calls:
10.0ms
(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
24.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
10.0ms
(pow (cbrt (+ x (/ (- x y) 2.0))) 2)
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series214.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
52.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
68.0ms
(pow (cbrt (+ x (/ (- x y) 2.0))) 2)
43.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify82.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
048681862
148681862

prune332.0ms

Filtered
87 candidates to 125 candidates (-43.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1241125
Fresh033
Picked011
Done112
Total1256131

Merged error: 0.0b

Counts
131 → 6

regimes167.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0177
1177

end0.0ms

sample415.0ms

Algorithm
intervals
Results
160.0ms7395×body80valid
22.0ms238×body1280valid
11.0ms151×body640valid
9.0ms77×body2560valid
5.0ms91×body320valid
2.0ms50×body160valid

Profiling

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