Details

Time bar (total: 2.3s)

sample16.0ms

Algorithm
intervals
Results
5.0ms238×body80valid
1.0ms8×body1280valid
1.0ms7×body640valid
0.0ms1×body2560valid
0.0ms1×body320valid
0.0ms1×body160valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1193
2293
3413
4513
5793
61343
71693
81853
92133
102263
112263

prune6.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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))

rewrite8.0ms

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))

simplify75.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
09181
124274
270474
3341274
4500174

prune27.0ms

Filtered
16 candidates to 12 candidates (25.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New13316
Fresh000
Picked011
Done000
Total13417

Merged error: 0.0b

Counts
17 → 4

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))))

rewrite49.0ms

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)))
22.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

series176.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cbrt (+ x (/ (- x y) 2.0)))
43.0ms
(cbrt (+ x (/ (- x y) 2.0)))
41.0ms
(cbrt (+ x (/ (- x y) 2.0)))
51.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

simplify67.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
02631109
17591044
22601956
35002938

prune203.0ms

Filtered
107 candidates to 75 candidates (29.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1043107
Fresh022
Picked011
Done011
Total1047111

Merged error: 0.0b

Counts
111 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
57×cbrt-prod
38×*-un-lft-identity
26×add-sqr-sqrt
24×cbrt-div
18×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 → 104
Calls
4 calls:
19.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
8.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
10.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
8.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series170.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
40.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
42.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
40.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
02821283
17811223
225161118
350021097

prune336.0ms

Filtered
116 candidates to 81 candidates (30.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1160116
Fresh044
Picked011
Done022
Total1167123

Merged error: 0.0b

Counts
123 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))
0.0b
(sqrt (+ x (/ (- x y) 2.0)))
0.0b
(sqrt (+ x (/ (- x y) 2.0)))
0.3b
(* (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity sqrt-prod
28×add-sqr-sqrt
21×pow1
16×sqrt-div
14×add-cube-cbrt
11×swap-sqr
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 associate-+r- pow-plus sqrt-unprod div-sub prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
8.0ms
(+ x (/ (- x y) 2.0))
8.0ms
(sqrt (+ x (/ (- x y) 2.0)))
8.0ms
(sqrt (+ x (/ (- x y) 2.0)))
22.0ms
(* (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))))

series31.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ x (/ (- x y) 2.0))
11.0ms
(sqrt (+ x (/ (- x y) 2.0)))
11.0ms
(sqrt (+ x (/ (- x y) 2.0)))
5.0ms
(* (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))))

simplify194.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0241807
1905745
24988723
35001723

prune119.0ms

Filtered
119 candidates to 64 candidates (46.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1172119
Fresh123
Picked101
Done033
Total1197126

Merged error: 0b

Counts
126 → 7

regimes163.0ms

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 (0.0ms)

IterNodesCost
073
173

end0.0ms

sample420.0ms

Algorithm
intervals
Results
161.0ms7372×body80valid
23.0ms224×body1280valid
13.0ms172×body640valid
11.0ms92×body2560valid
6.0ms98×body320valid
2.0ms45×body160valid

Profiling

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