Details

Time bar (total: 2.7s)

sample13.0ms

Algorithm
intervals
Results
5.0ms245×body80valid
0.0ms4×body1280valid
0.0ms3×body640valid
0.0ms2×body2560valid
0.0ms2×body320valid

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

localize6.0ms

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:
16.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify109.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
083100
120791
248191
3128891
4389991
5500291

prune36.0ms

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
(- x (/ (fabs (- y x)) 2.0))
0.0b
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
15.5b
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
32.0b
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

rewrite47.0ms

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))
15.0ms
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
2.0ms
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
18.0ms
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

series110.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(- x (/ (fabs (- y x)) 2.0))
17.0ms
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
29.0ms
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
47.0ms
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

simplify97.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
06462135
133741888
250021853

prune339.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

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

series232.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (cbrt (- x (/ (fabs (- y x)) 2.0))) (cbrt (- x (/ (fabs (- y x)) 2.0))))
54.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
54.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
52.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04281672
113971593
250011492

prune373.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

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)))
0.6b
(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)))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod cbrt-div
23×add-sqr-sqrt
14×*-un-lft-identity
9×flip3-- flip--
8×add-cube-cbrt
6×difference-of-squares
4×pow1 add-exp-log frac-times pow1/3 add-cbrt-cube add-log-exp
3×times-frac distribute-lft-out--
2×associate-*r/ associate-*l/
Counts
4 → 68
Calls
4 calls:
5.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (cbrt (- x (/ (fabs (- y x)) 2.0))))
14.0ms
(cbrt (* (cbrt (- x (/ (fabs (- y x)) 2.0))) (cbrt (- x (/ (fabs (- y x)) 2.0)))))

series319.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
51.0ms
(cbrt (- x (/ (fabs (- y x)) 2.0)))
85.0ms
(cbrt (cbrt (- x (/ (fabs (- y x)) 2.0))))
126.0ms
(cbrt (* (cbrt (- x (/ (fabs (- y x)) 2.0))) (cbrt (- x (/ (fabs (- y x)) 2.0)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
05371260
114711200
250011192

prune356.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes94.0ms

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

sample299.0ms

Algorithm
intervals
Results
153.0ms7714×body80valid
10.0ms114×body1280valid
4.0ms65×body640valid
4.0ms42×body2560valid
2.0ms45×body320valid
1.0ms21×body160valid