Details

Time bar (total: 13.6s)

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify12.0ms

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

localize12.0ms

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

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(/ (- x y) (+ x y))

simplify2.5s

Counts
51 → 51
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
080616
1193588
2481560
31190560
43366553
done5002553

prune125.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

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)))

rewrite220.0ms

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:
13.0ms
(/ y (+ x y))
11.0ms
(/ x (+ x y))
138.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series196.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ y (+ x y))
50.0ms
(/ x (+ x y))
95.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.6s

Counts
451 → 451
Iterations

Useful iterations: done (1.6s)

IterNodesCost
042220371
192017875
2198813531
done500110012

prune537.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ (+ x y) x)
0.0b
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
0.3b
(/ 1 (/ (+ x y) x))

rewrite444.0ms

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:
15.0ms
(/ y (+ x y))
26.0ms
(/ (+ x y) x)
201.0ms
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
16.0ms
(/ 1 (/ (+ x y) x))

series246.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ y (+ x y))
31.0ms
(/ (+ x y) x)
105.0ms
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
55.0ms
(/ 1 (/ (+ x y) x))

simplify2.2s

Counts
1208 → 1208
Iterations

Useful iterations: done (2.1s)

IterNodesCost
095364308
1203753743
2340838575
done500133030

prune714.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x y) x)
0.0b
(- (/ 1 (/ (+ x y) x)) (* y (/ 1 (+ x y))))
0.2b
(* y (/ 1 (+ x y)))
0.3b
(/ 1 (/ (+ x y) x))

rewrite280.0ms

Algorithm
rewrite-expression-head
Rules
290×times-frac
228×*-un-lft-identity
160×add-sqr-sqrt
153×add-cube-cbrt
53×fma-neg prod-diff
37×distribute-lft-out
26×add-exp-log
19×associate-/r*
18×associate-*r*
16×add-cbrt-cube
15×div-inv
10×div-exp
7×pow1 associate-/l*
6×add-log-exp
5×cbrt-undiv associate-/r/
4×expm1-log1p-u prod-exp log1p-expm1-u
3×rec-exp 1-exp associate-*l* unswap-sqr
2×frac-2neg flip3-+ associate-*r/ clear-num un-div-inv frac-sub cbrt-unprod flip-+ associate-/l/
1×sub-neg flip3-- pow-flip diff-log pow-prod-down *-commutative flip-- inv-pow
Counts
4 → 290
Calls
4 calls:
30.0ms
(/ (+ x y) x)
158.0ms
(- (/ 1 (/ (+ x y) x)) (* y (/ 1 (+ x y))))
45.0ms
(* y (/ 1 (+ x y)))
17.0ms
(/ 1 (/ (+ x y) x))

series246.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (+ x y) x)
103.0ms
(- (/ 1 (/ (+ x y) x)) (* y (/ 1 (+ x y))))
54.0ms
(* y (/ 1 (+ x y)))
67.0ms
(/ 1 (/ (+ x y) x))

simplify2.9s

Counts
302 → 302
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
02965163
17044088
215183565
342163313
done50003313

prune522.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11113
done1113

end0.0ms

sample564.0ms

Algorithm
intervals
Results
225.0ms8000×body80valid