Details

Time bar (total: 2.9s)

sample13.0ms

Algorithm
intervals
Results
4.0ms247×body80valid
0.0ms5×body640valid
0.0ms2×body320valid
0.0ms1×body2560valid
0.0ms1×body1280valid

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))

rewrite11.0ms

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:
10.0ms
(+ x (/ (fabs (- y x)) 2.0))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify113.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
083100
120791
248191
3128891
4389991
5500291

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite109.0ms

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:
79.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
8.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series233.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
56.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
61.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
57.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03641473
112021394
250011293

prune288.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
17×*-un-lft-identity
10×cbrt-div
9×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
4 → 59
Calls
4 calls:
8.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series234.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
60.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
56.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
62.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify94.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0334908
1960862
23596851
35002851

prune317.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
130×cbrt-div
30×flip3-+ flip-+
28×frac-times
21×cbrt-prod
14×*-un-lft-identity associate-*l/
8×add-sqr-sqrt add-cube-cbrt associate-*r/
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×distribute-lft-out
1×pow3 rem-cbrt-cube
Counts
4 → 81
Calls
4 calls:
9.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
29.0ms
(cbrt (* (cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))))

series239.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
61.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
57.0ms
(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
64.0ms
(cbrt (* (cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))))

simplify111.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
04852344
111122268
237512258
350022258

prune452.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample321.0ms

Algorithm
intervals
Results
136.0ms7729×body80valid
8.0ms35×body320valid
7.0ms89×body1280valid
5.0ms49×body2560valid
4.0ms66×body640valid
1.0ms32×body160valid