Details

Time bar (total: 6.0s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
1117
2147
3167
done167

prune2.0ms

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))

rewrite14.0ms

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:
12.0ms
(/ (- x y) (+ x y))

series70.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(/ (- x y) (+ x y))

simplify2.2s

Counts
51 → 51
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
080616
1192588
2454560
31326560
43982553
done5000553

prune294.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

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)))

rewrite114.0ms

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:
5.0ms
(/ y (+ x y))
6.0ms
(/ x (+ x y))
64.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ y (+ x y))
44.0ms
(/ x (+ x y))
83.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify847.0ms

Counts
451 → 451
Iterations

Useful iterations: done (820.0ms)

IterNodesCost
042220371
188017875
2214113495
done500113369

prune628.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (/ x (+ x y)))
0.0b
(expm1 (log1p (/ x (+ x y))))
0.0b
(/ x (+ x y))
0.0b
(- (expm1 (log1p (/ x (+ x y)))) (/ y (+ x y)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
61×add-sqr-sqrt
56×add-cube-cbrt
54×prod-diff
49×times-frac
13×distribute-lft-out
8×associate-/r/
6×add-exp-log add-cbrt-cube add-log-exp
5×expm1-log1p-u
4×pow1 flip3-+ associate-/r* flip-+ log1p-expm1-u div-inv
3×fma-neg associate-/l*
2×expm1-udef difference-of-squares
1×cbrt-undiv associate--l- sub-neg log1p-udef expm1-log1p flip3-- frac-2neg diff-log log1p-expm1 div-exp clear-num flip-- distribute-lft-out--
Counts
4 → 132
Calls
4 calls:
0.0ms
(log1p (/ x (+ x y)))
0.0ms
(expm1 (log1p (/ x (+ x y))))
5.0ms
(/ x (+ x y))
17.0ms
(- (expm1 (log1p (/ x (+ x y)))) (/ y (+ x y)))

series313.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(log1p (/ x (+ x y)))
81.0ms
(expm1 (log1p (/ x (+ x y))))
42.0ms
(/ x (+ x y))
118.0ms
(- (expm1 (log1p (/ x (+ x y)))) (/ y (+ x y)))

simplify659.0ms

Counts
144 → 144
Iterations

Useful iterations: done (654.0ms)

IterNodesCost
02394282
15273583
214072686
done50012671

prune265.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

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

sample287.0ms

Algorithm
intervals
Results
154.0ms8000×body80valid