Details

Time bar (total: 12.4s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
297
done97

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
25.0ms
(/ (+ x y) (- x y))

series120.0ms

Counts
1 → 3
Calls
1 calls:
120.0ms
(/ (+ x y) (- x y))

simplify2.4s

Counts
50 → 50
Iterations

Useful iterations: 3 (702.0ms)

IterNodesCost
078606
1180582
2605554
33573547
done5000547

prune160.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(cbrt (pow (/ (+ x y) (- x y)) 3))
0.0b
(/ (+ x y) (- x y))
0.0b
(pow (/ (+ x y) (- x y)) 3)

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
100×times-frac
98×add-sqr-sqrt
58×cbrt-prod
56×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1 associate-/l*
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 clear-num rem-cbrt-cube flip-+
Counts
3 → 191
Calls
3 calls:
28.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
42.0ms
(/ (+ x y) (- x y))
45.0ms
(pow (/ (+ x y) (- x y)) 3)

series308.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
97.0ms
(/ (+ x y) (- x y))
104.0ms
(pow (/ (+ x y) (- x y)) 3)

simplify2.2s

Counts
200 → 200
Iterations

Useful iterations: 2 (572.0ms)

IterNodesCost
01813402
16362836
235592634
done50012634

prune492.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
16×*-un-lft-identity
14×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 67
Calls
4 calls:
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (- x y))
7.0ms
(cbrt (- x y))
8.0ms
(cbrt (- x y))

series844.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt (+ x y))
206.0ms
(cbrt (- x y))
232.0ms
(cbrt (- x y))
213.0ms
(cbrt (- x y))

simplify2.4s

Counts
79 → 79
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0106759
1234730
2690698
32624652
done5000613

prune372.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 103
Calls
4 calls:
48.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
6.0ms
(cbrt (+ x y))
6.0ms
(cbrt (+ x y))
7.0ms
(cbrt (+ x y))

series777.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
198.0ms
(cbrt (+ x y))
149.0ms
(cbrt (+ x y))
182.0ms
(cbrt (+ x y))

simplify831.0ms

Counts
115 → 115
Iterations

Useful iterations: done (825.0ms)

IterNodesCost
01201316
12881186
211681128
done50001104

prune375.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes87.0ms

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
057
167
done67

end0.0ms

sample648.0ms

Algorithm
intervals
Results
305.0ms8000×body80valid