Details

Time bar (total: 6.2s)

sample12.0ms

Algorithm
intervals
Results
4.0ms256×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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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:
24.0ms
(/ (+ x y) (- x y))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(/ (+ x y) (- x y))

simplify2.2s

Counts
50 → 50
Iterations

Useful iterations: 3 (227.0ms)

IterNodesCost
078606
1175582
2454554
31120547
43134547
done5002547

prune88.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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)

rewrite80.0ms

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:
24.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
24.0ms
(/ (+ x y) (- x y))
23.0ms
(pow (/ (+ x y) (- x y)) 3)

series234.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
65.0ms
(/ (+ x y) (- x y))
78.0ms
(pow (/ (+ x y) (- x y)) 3)

simplify805.0ms

Counts
200 → 200
Iterations

Useful iterations: done (795.0ms)

IterNodesCost
01813402
14902822
215422604
done50002574

prune278.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- x y))
0.2b
(* (/ 1 (- x y)) (+ x y))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*l*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp associate-*r* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*r/ flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out inv-pow
Counts
2 → 95
Calls
2 calls:
12.0ms
(/ 1 (- x y))
47.0ms
(* (/ 1 (- x y)) (+ x y))

series107.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ 1 (- x y))
70.0ms
(* (/ 1 (- x y)) (+ x y))

simplify1.8s

Counts
101 → 101
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01301062
1408879
21088797
33085788
done5000788

prune137.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes33.0ms

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
0810
1910
done910

end0.0ms

sample298.0ms

Algorithm
intervals
Results
136.0ms8000×body80valid