Details

Time bar (total: 15.9s)

sample23.0ms

Algorithm
intervals
Results
10.0ms241×body80valid
1.0msbody1280valid
1.0msbody640valid
0.0msbody320valid
0.0msbody2560valid
0.0msbody160valid

simplify296.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 1 expressions with local error:

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

rewrite212.0ms

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:
211.0ms
(+ x (+ z (+ (+ y x) (+ y x))))

series32.0ms

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

simplify2.3s

Counts
27 → 27
Iterations
IterNodes
done5034
33559
2515
1137
054

prune117.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite115.0ms

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:
115.0ms
(+ (+ (+ y y) z) (* 3 x))

series42.0ms

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

simplify2.1s

Counts
18 → 18
Iterations
IterNodes
done5010
32998
2482
1119
042

prune97.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (+ (+ (+ y y) z) (* 3 x))) (cbrt (+ (+ (+ y y) z) (* 3 x))))
0.6b
(cbrt (+ (+ (+ y y) z) (* 3 x)))
0.6b
(cbrt (+ (+ (+ y y) z) (* 3 x)))
0.6b
(cbrt (+ (+ (+ y y) z) (* 3 x)))

rewrite685.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
flip3-+ pow1/3 flip-+
swap-sqr associate-*r* associate-*l* 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 → 91
Calls
4 calls:
499.0ms
(* (cbrt (+ (+ (+ y y) z) (* 3 x))) (cbrt (+ (+ (+ y y) z) (* 3 x))))
66.0ms
(cbrt (+ (+ (+ y y) z) (* 3 x)))
54.0ms
(cbrt (+ (+ (+ y y) z) (* 3 x)))
65.0ms
(cbrt (+ (+ (+ y y) z) (* 3 x)))

series1.5s

Counts
4 → 12
Calls
4 calls:
423.0ms
(* (cbrt (+ (+ (+ y y) z) (* 3 x))) (cbrt (+ (+ (+ y y) z) (* 3 x))))
372.0ms
(cbrt (+ (+ (+ y y) z) (* 3 x)))
319.0ms
(cbrt (+ (+ (+ y y) z) (* 3 x)))
369.0ms
(cbrt (+ (+ (+ y y) z) (* 3 x)))

simplify2.6s

Counts
103 → 103
Iterations
IterNodes
done5001
33612
2938
1332
0142

prune615.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (+ (+ y y) z) (* 3 x)))
0.6b
(cbrt (+ (+ (+ y y) z) (* 3 x)))
0.6b
(cbrt (+ (+ (+ y y) z) (* 3 x)))
0.6b
(cbrt (+ (+ (+ y y) z) (* 3 x)))

rewrite309.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt cbrt-div *-un-lft-identity add-cube-cbrt
pow1 flip3-+ add-cbrt-cube pow1/3 add-exp-log flip-+ insert-posit16 add-log-exp
Counts
4 → 56
Calls
4 calls:
74.0ms
(cbrt (+ (+ (+ y y) z) (* 3 x)))
68.0ms
(cbrt (+ (+ (+ y y) z) (* 3 x)))
84.0ms
(cbrt (+ (+ (+ y y) z) (* 3 x)))
81.0ms
(cbrt (+ (+ (+ y y) z) (* 3 x)))

series1.4s

Counts
4 → 12
Calls
4 calls:
342.0ms
(cbrt (+ (+ (+ y y) z) (* 3 x)))
361.0ms
(cbrt (+ (+ (+ y y) z) (* 3 x)))
378.0ms
(cbrt (+ (+ (+ y y) z) (* 3 x)))
334.0ms
(cbrt (+ (+ (+ y y) z) (* 3 x)))

simplify1.7s

Counts
68 → 68
Iterations
IterNodes
done5004
32008
2481
1175
073

prune560.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes228.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample895.0ms

Algorithm
intervals
Results
547.0ms7449×body80valid
65.0ms175×body1280valid
33.0ms158×body640valid
20.0ms118×body320valid
12.0ms38×body2560valid
8.0ms70×body160valid