Details

Time bar (total: 3.6s)

sample13.0ms

Algorithm
intervals
Results
5.0ms247×body80valid
0.0msbody1280valid
0.0msbody640valid
0.0msbody2560valid
0.0msbody320valid
0.0msbody160valid

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
fma-def add-log-exp
add-sqr-sqrt add-cube-cbrt
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:
10.0ms
(+ x (/ (fabs (- y x)) 2.0))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(+ 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

prune63.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
12.0ms
(* (cbrt x) (cbrt x))

series712.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt x)
173.0ms
(cbrt x)
169.0ms
(cbrt x)
194.0ms
(* (cbrt x) (cbrt x))

simplify89.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0119308
1484281
22976258
35001255

prune342.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
26×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 90
Calls
4 calls:
13.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))

series982.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt x) (cbrt x))
310.0ms
(cbrt (cbrt x))
237.0ms
(cbrt (cbrt x))
236.0ms
(cbrt (cbrt x))

simplify75.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
0134429
1444395
22110358
35001355

prune573.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 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
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))

series111.0ms

Counts
1 → 3
Calls
1 calls:
110.0ms
(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

prune49.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes81.0ms

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

sample318.0ms

Algorithm
intervals
Results
164.0ms7693×body80valid
9.0ms98×body1280valid
9.0ms54×body2560valid
6.0ms80×body640valid
3.0ms52×body320valid
1.0ms24×body160valid