Details

Time bar (total: 10.0s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify17.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite55.0ms

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:
55.0ms
(+ (+ x y) x)

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(+ (+ x y) x)

simplify1.6s

Counts
18 → 18

prune31.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite293.0ms

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:
214.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
18.0ms
(cbrt (+ (+ x y) x))
22.0ms
(cbrt (+ (+ x y) x))
31.0ms
(cbrt (+ (+ x y) x))

series1.4s

Counts
4 → 12
Calls
4 calls:
338.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
340.0ms
(cbrt (+ (+ x y) x))
348.0ms
(cbrt (+ (+ x y) x))
326.0ms
(cbrt (+ (+ x y) x))

simplify1.9s

Counts
117 → 117

prune402.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
20×cbrt-prod
12×distribute-lft-out
8×add-sqr-sqrt add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 60
Calls
4 calls:
21.0ms
(cbrt (+ (+ x y) x))
31.0ms
(cbrt (+ (+ x y) x))
21.0ms
(cbrt (+ (+ x y) x))
18.0ms
(cbrt (+ (+ x y) x))

series1.3s

Counts
4 → 12
Calls
4 calls:
327.0ms
(cbrt (+ (+ x y) x))
316.0ms
(cbrt (+ (+ x y) x))
320.0ms
(cbrt (+ (+ x y) x))
289.0ms
(cbrt (+ (+ x y) x))

simplify653.0ms

Counts
72 → 72

prune320.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x y) x)
0.0b
(+ (+ x y) x)
0.2b
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

rewrite322.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
38×sqrt-prod
30×distribute-lft-out
23×add-sqr-sqrt
18×pow1
16×swap-sqr
13×add-log-exp
12×sqrt-div
11×add-cube-cbrt
8×sqrt-pow1 flip3-+ pow1/2 associate-*r* associate-*l* flip-+
6×sum-log
5×add-exp-log pow-prod-up add-cbrt-cube
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-+l+ associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
3 → 99
Calls
3 calls:
38.0ms
(+ (+ x y) x)
57.0ms
(+ (+ x y) x)
218.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series127.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ (+ x y) x)
43.0ms
(+ (+ x y) x)
53.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify602.0ms

Counts
108 → 108

prune217.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify21.0ms

end0.0ms

sample523.0ms

Algorithm
intervals
Results
187.0ms8002×body80valid