Details

Time bar (total: 10.9s)

sample26.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
297
done97

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite39.0ms

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 flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
36.0ms
(/ (+ x y) (- x y))

series100.0ms

Counts
1 → 3
Calls
1 calls:
100.0ms
(/ (+ x y) (- x y))

simplify2.8s

Counts
48 → 48
Iterations

Useful iterations: 3 (499.0ms)

IterNodesCost
076590
1175567
2587541
33427532
done5002532

prune123.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)

rewrite135.0ms

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×pow-unpow 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 → 185
Calls
3 calls:
24.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
50.0ms
(/ (+ x y) (- x y))
43.0ms
(pow (/ (+ x y) (- x y)) 3)

series335.0ms

Counts
3 → 9
Calls
3 calls:
134.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
89.0ms
(/ (+ x y) (- x y))
111.0ms
(pow (/ (+ x y) (- x y)) 3)

simplify2.0s

Counts
194 → 194
Iterations

Useful iterations: 2 (500.0ms)

IterNodesCost
01753344
16252789
235472587
done50012587

prune416.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize29.0ms

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))

rewrite19.0ms

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 pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 59
Calls
4 calls:
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))

series812.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(cbrt (+ x y))
184.0ms
(cbrt (- x y))
223.0ms
(cbrt (- x y))
202.0ms
(cbrt (- x y))

simplify1.3s

Counts
71 → 71
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0102719
1222698
2620666
32215624
done5000582

prune300.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

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))

rewrite77.0ms

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×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 → 95
Calls
4 calls:
55.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms
(cbrt (+ x y))
8.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))

series750.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
181.0ms
(cbrt (+ x y))
179.0ms
(cbrt (+ x y))
192.0ms
(cbrt (+ x y))

simplify608.0ms

Counts
107 → 107
Iterations

Useful iterations: done (599.0ms)

IterNodesCost
01161266
12781147
210681089
done50011069

prune307.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes90.0ms

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

sample511.0ms

Algorithm
intervals
Results
285.0ms8000×body80valid