Details

Time bar (total: 4.2s)

sample10.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
072
1102
2122
3132
4132
done132

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity add-log-exp
3×sum-log distribute-lft-out
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
Counts
1 → 15
Calls
1 calls:
26.0ms
(+ (+ x y) x)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(+ (+ x y) x)

simplify99.0ms

Counts
18 → 18
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
08265
124160
285458
3453553
4500253
done500253

prune21.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
33×distribute-lft-out
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1
9×flip3-+ pow1/3 flip-+
8×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 105
Calls
4 calls:
16.0ms
(cbrt (+ (+ x y) x))
15.0ms
(cbrt (+ (+ x y) x))
16.0ms
(cbrt (+ (+ x y) x))
136.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))

series847.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(cbrt (+ (+ x y) x))
205.0ms
(cbrt (+ (+ x y) x))
198.0ms
(cbrt (+ (+ x y) x))
241.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))

simplify45.0ms

Counts
117 → 117
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0280982
11056931
25001832
done5001832

prune209.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite793.0ms

Algorithm
rewrite-expression-head
Rules
390×cbrt-div
136×frac-times
111×flip3-+ flip-+
68×associate-*l/
44×cbrt-prod
32×*-un-lft-identity
26×associate-*r/
19×pow1/3
15×pow1
13×add-exp-log add-cube-cbrt
12×add-sqr-sqrt distribute-lft-out
9×pow-prod-down
8×associate-*r* pow-prod-up
6×prod-exp add-cbrt-cube cbrt-unprod
4×add-log-exp
2×pow-plus pow-sqr
1×swap-sqr associate-*l* *-commutative
Counts
4 → 166
Calls
4 calls:
726.0ms
(* (* (* (cbrt (cbrt (+ (+ x y) x))) (cbrt (cbrt (+ (+ x y) x)))) (cbrt (cbrt (+ (+ x y) x)))) (cbrt (+ (+ x y) x)))
16.0ms
(cbrt (cbrt (+ (+ x y) x)))
16.0ms
(cbrt (cbrt (+ (+ x y) x)))
19.0ms
(cbrt (cbrt (+ (+ x y) x)))

series1.1s

Counts
4 → 12
Calls
4 calls:
244.0ms
(* (* (* (cbrt (cbrt (+ (+ x y) x))) (cbrt (cbrt (+ (+ x y) x)))) (cbrt (cbrt (+ (+ x y) x)))) (cbrt (+ (+ x y) x)))
274.0ms
(cbrt (cbrt (+ (+ x y) x)))
269.0ms
(cbrt (cbrt (+ (+ x y) x)))
272.0ms
(cbrt (cbrt (+ (+ x y) x)))

simplify94.0ms

Counts
178 → 178
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
07714307
122774066
250013923
done50013923

prune461.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162
done62

end0.0ms

sample257.0ms

Algorithm
intervals
Results
97.0ms8006×body80valid