Details

Time bar (total: 11.2s)

sample26.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1117
2147
3167
done167

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

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-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 48
Calls
1 calls:
34.0ms
(/ (- x y) (+ x y))

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(/ (- x y) (+ x y))

simplify513.0ms

Counts
51 → 51
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
080616
1198588
2763560
done5000560

prune156.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
581×*-un-lft-identity
484×times-frac
331×add-sqr-sqrt
324×prod-diff
319×add-cube-cbrt
123×distribute-lft-out
82×associate-/r/
41×flip3-+ flip-+ div-inv
18×fma-neg
8×associate-/r*
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×difference-of-squares
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 442
Calls
3 calls:
11.0ms
(/ y (+ x y))
13.0ms
(/ x (+ x y))
115.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series238.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ y (+ x y))
61.0ms
(/ x (+ x y))
129.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.9s

Counts
451 → 451
Iterations

Useful iterations: 2 (597.0ms)

IterNodesCost
042220371
197517929
2333713801
done500013801

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite468.0ms

Algorithm
rewrite-expression-head
Rules
2373×times-frac
1990×*-un-lft-identity
1307×add-sqr-sqrt
1274×add-cube-cbrt
954×prod-diff
351×distribute-lft-out
137×div-inv
128×associate-/r/
55×flip3-+ flip-+
53×fma-neg
23×associate-/r*
19×add-exp-log
13×add-cbrt-cube
10×associate-/l* difference-of-squares
9×div-exp
6×add-log-exp
5×pow1 cbrt-undiv
4×expm1-log1p-u log1p-expm1-u distribute-lft-out--
3×frac-2neg clear-num
2×rec-exp 1-exp associate-/l/
1×sub-neg flip3-- pow-flip diff-log frac-sub flip-- inv-pow
Counts
4 → 1196
Calls
4 calls:
27.0ms
(/ (+ x y) x)
17.0ms
(/ y (+ x y))
222.0ms
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
32.0ms
(/ 1 (/ (+ x y) x))

series225.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (+ x y) x)
41.0ms
(/ y (+ x y))
90.0ms
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
68.0ms
(/ 1 (/ (+ x y) x))

simplify1.3s

Counts
1208 → 1208
Iterations

Useful iterations: done (1.2s)

IterNodesCost
095364308
1215953902
done500043027

prune1.9s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
41×add-sqr-sqrt
32×add-cube-cbrt
26×times-frac
18×associate-*l* prod-diff
15×add-exp-log
11×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube
7×distribute-lft-out
5×pow1 associate-*r*
4×div-exp prod-exp associate-/r* associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times sub-neg rec-exp flip3-- flip3-+ 1-exp associate-*r/ flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out-- inv-pow difference-of-squares
Counts
2 → 109
Calls
2 calls:
26.0ms
(/ 1 (+ x y))
57.0ms
(* (/ 1 (+ x y)) (- x y))

series130.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ 1 (+ x y))
93.0ms
(* (/ 1 (+ x y)) (- x y))

simplify1.9s

Counts
115 → 115
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01701650
14751394
234221072
done50021042

prune164.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11113
done1113

end0.0ms

sample517.0ms

Algorithm
intervals
Results
283.0ms8000×body80valid