Details

Time bar (total: 2.7s)

sample18.0ms

Algorithm
intervals
Results
6.0ms245×body80valid
0.0ms4×body640valid
0.0ms2×body2560valid
0.0ms2×body1280valid
0.0ms2×body160valid
0.0ms1×body320valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0104
1114
2114

prune3.0ms

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 (/ (fabs (- y x)) 2.0))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
5.0ms
(+ x (/ (fabs (- y x)) 2.0))

series5.0ms

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

simplify106.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
083100
120791
248191
3128891
4389991
5500291

prune38.0ms

Filtered
15 candidates to 11 candidates (26.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.0b

Counts
16 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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:
14.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series80.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
19.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03861546
113041467
250011344

prune411.0ms

Filtered
107 candidates to 72 candidates (32.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1043107
Fresh022
Picked011
Done011
Total1047111

Merged error: 0.0b

Counts
111 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-div
24×cbrt-prod
14×flip3-+ flip-+
12×*-un-lft-identity
8×add-sqr-sqrt frac-times add-cube-cbrt
4×pow1 add-exp-log pow1/3 associate-*r/ associate-*l/ add-cbrt-cube add-log-exp
2×distribute-lft-out
Counts
4 → 68
Calls
4 calls:
5.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
5.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
13.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
13.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

series88.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
19.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
26.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
24.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify90.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
03611584
110061508
238451478
350011478

prune591.0ms

Filtered
80 candidates to 66 candidates (17.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New80080
Fresh044
Picked011
Done022
Total80787

Merged error: 0.0b

Counts
87 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.4b
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.4b
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
19×*-un-lft-identity
12×sqrt-prod
11×add-sqr-sqrt add-cube-cbrt
8×cbrt-div
6×sqrt-div
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
4 → 65
Calls
4 calls:
6.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
8.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series81.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
20.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
19.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
20.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify85.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
03311088
19691038
236031018
350011001

prune325.0ms

Filtered
77 candidates to 55 candidates (28.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New75277
Fresh033
Picked101
Done033
Total76884

Merged error: 0.0b

Counts
84 → 8

regimes196.0ms

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
084
184

end0.0ms

sample392.0ms

Algorithm
intervals
Results
173.0ms7683×body80valid
13.0ms125×body1280valid
7.0ms89×body640valid
5.0ms37×body2560valid
2.0ms39×body320valid
1.0ms29×body160valid

Profiling

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