Details

Time bar (total: 2.6s)

sample12.0ms

Algorithm
intervals
Results
4.0ms251×body80valid
0.0ms3×body1280valid
0.0ms1×body640valid
0.0ms1×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: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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))

series18.0ms

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

simplify121.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
083100
120791
248191
3128891
4389991
5500291

prune38.0ms

Pruning

5 alts after pruning (4 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)))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite76.0ms

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)))
54.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series229.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(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)))
54.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify53.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03641473
112091394
250011293

prune292.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
36×*-un-lft-identity
24×add-sqr-sqrt
18×cbrt-div
16×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 sqrt-prod add-cbrt-cube add-log-exp unswap-sqr
2×sqrt-div associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
6.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
54.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series228.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
54.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
59.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
57.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify56.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04891537
116201454
250021352

prune352.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (fabs (- y x)) 2.0))
0.0b
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
12.4b
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
29.4b
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
70×times-frac
56×*-un-lft-identity
44×add-cube-cbrt
20×difference-of-squares
18×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
11×pow1
8×add-log-exp
6×associate-/r* distribute-lft-out--
5×cbrt-undiv div-exp div-inv
4×flip3-- prod-exp flip-- cbrt-unprod associate-/l* unswap-sqr
2×sub-neg diff-log associate-/r/ associate-/l/
1×pow2 frac-times frac-2neg pow-plus div-sub associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up
Counts
4 → 146
Calls
4 calls:
6.0ms
(- x (/ (fabs (- y x)) 2.0))
14.0ms
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
3.0ms
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
22.0ms
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

series134.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(- x (/ (fabs (- y x)) 2.0))
21.0ms
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
33.0ms
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
59.0ms
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

simplify112.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
06462135
133741888
250021853

prune375.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes69.0ms

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

sample292.0ms

Algorithm
intervals
Results
149.0ms7698×body80valid
10.0ms114×body1280valid
5.0ms77×body640valid
5.0ms46×body2560valid
2.0ms44×body320valid
1.0ms22×body160valid