Details

Time bar (total: 15.3s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1117
2147
3167
done167

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

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:
30.0ms
(/ (- x y) (+ x y))

series82.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(/ (- x y) (+ x y))

simplify2.8s

Counts
51 → 51
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
080616
1193588
2481560
31190560
43366553
done5002553

prune121.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

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)))

rewrite183.0ms

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))
11.0ms
(/ x (+ x y))
119.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series202.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ y (+ x y))
61.0ms
(/ x (+ x y))
99.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.0s

Counts
451 → 451
Iterations

Useful iterations: done (1.9s)

IterNodesCost
042220371
192017875
2198813531
done500110012

prune555.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ (- (pow (/ x (+ x y)) 3) (pow (/ y (+ x y)) 3)) (fma (/ x (+ x y)) (/ x (+ x y)) (* (/ y (+ x y)) (+ (/ x (+ x y)) (/ y (+ x y))))))
0.2b
(pow (/ y (+ x y)) 3)
0.2b
(pow (/ x (+ x y)) 3)

rewrite937.0ms

Algorithm
rewrite-expression-head
Rules
591×times-frac
589×*-un-lft-identity
501×add-sqr-sqrt
292×unpow-prod-down cube-prod
165×add-cube-cbrt
144×difference-of-squares
116×distribute-lft-out--
84×associate-/l*
80×distribute-lft-out
74×associate-/r/
50×sqr-pow
48×distribute-rgt-out--
38×div-inv
37×flip3-+ flip-+
14×add-exp-log add-cbrt-cube
7×associate-/r*
6×pow1 cube-div pow-unpow
4×difference-cubes cbrt-undiv expm1-log1p-u div-exp pow-exp log1p-expm1-u associate-/l/ add-log-exp rem-cube-cbrt
2×cube-mult pow-to-exp pow-pow frac-2neg unpow3 clear-num
1×flip3-- div-sub frac-sub flip-- sub-div
Counts
4 → 497
Calls
4 calls:
15.0ms
(/ x (+ x y))
826.0ms
(/ (- (pow (/ x (+ x y)) 3) (pow (/ y (+ x y)) 3)) (fma (/ x (+ x y)) (/ x (+ x y)) (* (/ y (+ x y)) (+ (/ x (+ x y)) (/ y (+ x y))))))
14.0ms
(pow (/ y (+ x y)) 3)
14.0ms
(pow (/ x (+ x y)) 3)

series561.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ x (+ x y))
274.0ms
(/ (- (pow (/ x (+ x y)) 3) (pow (/ y (+ x y)) 3)) (fma (/ x (+ x y)) (/ x (+ x y)) (* (/ y (+ x y)) (+ (/ x (+ x y)) (/ y (+ x y))))))
118.0ms
(pow (/ y (+ x y)) 3)
108.0ms
(pow (/ x (+ x y)) 3)

simplify2.5s

Counts
509 → 509
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
043728739
1112227910
2428425085
done500025085

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity
62×times-frac
54×add-sqr-sqrt
47×add-cube-cbrt
19×add-exp-log
18×fma-neg associate-*r* prod-diff
17×distribute-lft-out
13×add-cbrt-cube
10×associate-/r/
8×associate-/r*
7×pow1
6×div-inv associate-/l* add-log-exp
5×flip3-+ div-exp flip-+
4×expm1-log1p-u prod-exp log1p-expm1-u
3×cbrt-undiv associate-*r/ associate-*l* un-div-inv unswap-sqr
2×rec-exp frac-2neg 1-exp clear-num frac-sub cbrt-unprod sub-div
1×sub-neg flip3-- distribute-rgt-out-- pow-flip diff-log pow-prod-down *-commutative flip-- inv-pow
Counts
4 → 172
Calls
4 calls:
18.0ms
(/ 1 (+ x y))
13.0ms
(/ x (+ x y))
82.0ms
(- (/ x (+ x y)) (* y (/ 1 (+ x y))))
34.0ms
(* y (/ 1 (+ x y)))

series254.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ 1 (+ x y))
46.0ms
(/ x (+ x y))
100.0ms
(- (/ x (+ x y)) (* y (/ 1 (+ x y))))
62.0ms
(* y (/ 1 (+ x y)))

simplify2.9s

Counts
184 → 184
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01872282
14161866
29831722
327571636
done50001405

prune297.0ms

Pruning

3 alts after pruning (1 fresh and 2 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
01344
11644
done1644

end0.0ms

sample552.0ms

Algorithm
intervals
Results
258.0ms8000×body80valid