Details

Time bar (total: 5.6s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×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

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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:
27.0ms
(/ (- x y) (+ x y))

series74.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(/ (- x y) (+ x y))

simplify428.0ms

Counts
51 → 51
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
080616
1198588
2763560
done5000560

prune129.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite268.0ms

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:
17.0ms
(/ x (+ x y))
19.0ms
(/ y (+ x y))
167.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ x (+ x y))
42.0ms
(/ y (+ x y))
102.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.7s

Counts
451 → 451
Iterations

Useful iterations: 2 (485.0ms)

IterNodesCost
042220371
197517929
2335213801
done500013801

prune951.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ x y))
0.0b
(/ y (+ x y))
0.1b
(fma x (/ 1 (+ x y)) (- (/ y (+ x y))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
24×times-frac
21×add-sqr-sqrt add-cube-cbrt
9×add-exp-log
8×associate-/r* distribute-lft-out
7×add-cbrt-cube
6×associate-/l*
4×pow1 associate-/r/
3×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg flip3-+ clear-num flip-+ div-inv
1×rec-exp pow-flip 1-exp fma-udef inv-pow
Counts
3 → 84
Calls
3 calls:
19.0ms
(/ 1 (+ x y))
18.0ms
(/ y (+ x y))
1.0ms
(fma x (/ 1 (+ x y)) (- (/ y (+ x y))))

series225.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ 1 (+ x y))
56.0ms
(/ y (+ x y))
115.0ms
(fma x (/ 1 (+ x y)) (- (/ y (+ x y))))

simplify679.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (142.0ms)

IterNodesCost
0111863
1216780
21028700
done5001700

prune247.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes41.0ms

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

sample524.0ms

Algorithm
intervals
Results
239.0ms8000×body80valid