Details

Time bar (total: 39.3s)

sample38.0ms

Algorithm
intervals
Results
12.0ms242×body80valid
1.0msbody1280valid
1.0msbody640valid
0.0msbody320valid
0.0msbody2560valid
0.0msbody160valid

simplify558.0ms

Counts
1 → 1
Iterations
IterNodes
done249
6249
5248
4240
3145
253
120
08

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (+ z (+ (+ y x) (+ y x))))

rewrite541.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity add-log-exp
19×sum-log distribute-lft-out
add-sqr-sqrt pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
Counts
1 → 24
Calls
1 calls:
538.0ms
(+ x (+ z (+ (+ y x) (+ y x))))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(+ x (+ z (+ (+ y x) (+ y x))))

simplify5.6s

Counts
27 → 27
Iterations
IterNodes
done5017
33545
2515
1137
054

prune198.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ z (+ y y)) (* 3 x))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
sum-log
add-sqr-sqrt pow1 +-commutative associate-+l+ *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
Counts
1 → 15
Calls
1 calls:
249.0ms
(+ (+ z (+ y y)) (* 3 x))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(+ (+ z (+ y y)) (* 3 x))

simplify5.1s

Counts
18 → 18
Iterations
IterNodes
done5031
33032
2503
1121
042

prune193.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
0.6b
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
0.6b
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
0.6b
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))

rewrite5.3s

Algorithm
rewrite-expression-head
Rules
502×*-un-lft-identity
361×distribute-lft-out
151×cbrt-prod
54×swap-sqr
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
12×associate-*r* associate-*l*
11×pow1
flip3-+ pow1/3 flip-+
add-exp-log
frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 169
Calls
4 calls:
3.8s
(* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
459.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
487.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
526.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))

series2.3s

Counts
4 → 12
Calls
4 calls:
639.0ms
(* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
526.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
525.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
561.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))

simplify6.4s

Counts
181 → 181
Iterations
IterNodes
done5004
33831
2879
1320
0138

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize255.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
0.6b
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
0.6b
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
0.6b
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))

rewrite2.0s

Algorithm
rewrite-expression-head
Rules
108×*-un-lft-identity
76×distribute-lft-out
36×cbrt-prod
add-sqr-sqrt cbrt-div add-cube-cbrt
pow1 flip3-+ add-cbrt-cube pow1/3 add-exp-log flip-+ insert-posit16 add-log-exp
Counts
4 → 80
Calls
4 calls:
432.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
492.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
517.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
572.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))

series2.1s

Counts
4 → 12
Calls
4 calls:
554.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
581.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
465.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
520.0ms
(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))

simplify4.0s

Counts
92 → 92
Iterations
IterNodes
done5000
32544
2479
1167
072

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes657.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample984.0ms

Algorithm
intervals
Results
468.0ms7452×body80valid
69.0ms188×body1280valid
28.0ms166×body640valid
17.0ms110×body320valid
8.0ms30×body2560valid
6.0ms64×body160valid