Details

Time bar (total: 10.2s)

sample32.0ms

Algorithm
intervals
Results
11.0ms241×body80valid
2.0msbody1280valid
1.0msbody640valid
0.0msbody2560valid
0.0msbody160valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1108
2118
done118

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

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:
22.0ms
(+ x (/ (fabs (- y x)) 2.0))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify1.8s

Counts
20 → 20
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
033213
189204
2232185
3630185
41852185
done5001185

prune68.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)

rewrite18.0ms

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:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
345.0ms
(* (cbrt x) (cbrt x))
263.0ms
(cbrt x)
284.0ms
(cbrt x)
282.0ms
(cbrt x)

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
065554
1143443
2719423
done5000409

prune369.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.6s

Counts
4 → 12
Calls
4 calls:
288.0ms
(cbrt x)
736.0ms
(cbrt x)
286.0ms
(cbrt x)
247.0ms
(cbrt x)

simplify996.0ms

Counts
64 → 64
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
026284
147268
2115244
3334232
41002232
done5001232

prune259.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

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:
1.0ms
(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

series154.0ms

Counts
1 → 3
Calls
1 calls:
154.0ms
(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

simplify1.7s

Counts
13 → 13
Iterations

Useful iterations: 3 (376.0ms)

IterNodesCost
040216
191171
2308145
31633143
done5000143

prune43.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes96.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample677.0ms

Algorithm
intervals
Results
347.0ms7682×body80valid
17.0ms108×body1280valid
12.0ms56×body2560valid
11.0ms79×body640valid
5.0ms44×body320valid
2.0ms34×body160valid