Details

Time bar (total: 2.4s)

sample13.0ms

Algorithm
intervals
Results
5.0ms244×body80valid
0.0ms5×body1280valid
0.0ms2×body640valid
0.0ms2×body320valid
0.0ms1×body2560valid
0.0ms2×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0104
1114
2114

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:
6.0ms
(+ x (/ (fabs (- y x)) 2.0))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify111.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
083100
120791
248191
3128891
4389991
5500291

prune38.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

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:
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
50.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series205.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
54.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
50.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
50.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify54.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03641473
112091394
250011293

prune283.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
42×*-un-lft-identity
40×add-sqr-sqrt
36×cbrt-div
22×add-cube-cbrt
12×swap-sqr
11×pow1
10×associate-*r* associate-*l*
9×flip3-+ pow1/3 flip-+ distribute-lft-out unswap-sqr
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 118
Calls
4 calls:
53.0ms
(* (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
6.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
9.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series208.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))))
50.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
55.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
51.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify55.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03912116
112562023
250021865

prune399.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

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 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 106
Calls
4 calls:
7.0ms
(+ x (/ (fabs (- y x)) 2.0))
10.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
11.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
52.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series127.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ x (/ (fabs (- y x)) 2.0))
50.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
44.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify48.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
02731063
11071971
25001937

prune216.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes83.0ms

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

sample291.0ms

Algorithm
intervals
Results
147.0ms7673×body80valid
9.0ms113×body1280valid
5.0ms79×body640valid
5.0ms47×body2560valid
3.0ms51×body320valid
1.0ms41×body160valid