Details

Time bar (total: 2.4s)

sample12.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
7.0ms
(+ x (/ (fabs (- y x)) 2.0))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
088110
122697
254097
3152297
4500197

prune50.0ms

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) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series704.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (cbrt x) (cbrt x))
165.0ms
(cbrt x)
168.0ms
(cbrt x)
178.0ms
(cbrt x)

simplify90.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune234.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))
0.6b
(cbrt x)
30.2b
(cbrt (pow x 2))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
11×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×pow1 add-exp-log expm1-log1p-u unpow-prod-down add-cbrt-cube log1p-expm1-u add-log-exp
2×pow1/3
1×fma-udef unpow2 sqr-pow
Counts
3 → 41
Calls
3 calls:
0.0ms
(fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))
0.0ms
(cbrt x)
1.0ms
(cbrt (pow x 2))

series466.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(fma (cbrt (pow x 2)) (cbrt x) (/ (fabs (- y x)) 2.0))
173.0ms
(cbrt x)
177.0ms
(cbrt (pow x 2))

simplify48.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0131235
1336207
21214200
35002200

prune164.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

series101.0ms

Counts
1 → 3
Calls
1 calls:
101.0ms
(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
088117
1275101
2132695
3500192

prune34.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes57.0ms

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

sample301.0ms

Algorithm
intervals
Results
148.0ms7714×body80valid
9.0ms114×body1280valid
4.0ms65×body640valid
4.0ms42×body2560valid
2.0ms45×body320valid
1.0ms21×body160valid