Details

Time bar (total: 2.9s)

sample21.0ms

Algorithm
intervals
Results
8.0ms246×body80valid
1.0ms3×body2560valid
0.0ms4×body640valid
0.0ms3×body1280valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0104
1114
2114

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:
9.0ms
(+ x (/ (fabs (- y x)) 2.0))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify105.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
083100
120791
248191
3128891
4389991
5500291

prune37.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
0.0b
(- x (/ (fabs (- y x)) 2.0))
11.9b
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
28.6b
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

rewrite35.0ms

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:
10.0ms
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
6.0ms
(- x (/ (fabs (- y x)) 2.0))
3.0ms
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
11.0ms
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

series137.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
21.0ms
(- x (/ (fabs (- y x)) 2.0))
26.0ms
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
71.0ms
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

simplify101.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
06462135
133741888
250021853

prune368.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
50×cbrt-prod
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 swap-sqr
9×flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
7×times-frac
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 → 107
Calls
4 calls:
17.0ms
(* (cbrt (- x (/ (fabs (- y x)) 2.0))) (cbrt (- x (/ (fabs (- y x)) 2.0))))
6.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
9.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (cbrt (- x (/ (fabs (- y x)) 2.0))) (cbrt (- x (/ (fabs (- y x)) 2.0))))
55.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
55.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
52.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04281672
113971593
250011492

prune401.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize22.0ms

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×cbrt-prod
16×*-un-lft-identity
8×add-cube-cbrt cbrt-div difference-of-squares
4×pow1 add-exp-log flip3-- times-frac pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp
Counts
4 → 64
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)))
6.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))

series412.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
58.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
55.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
245.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))

simplify65.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0238940
1603896
22039884
35002872

prune339.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes86.0ms

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

sample304.0ms

Algorithm
intervals
Results
151.0ms7683×body80valid
10.0ms110×body1280valid
6.0ms55×body2560valid
6.0ms83×body640valid
3.0ms48×body320valid
1.0ms22×body160valid