Details

Time bar (total: 5.0s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify6.0ms

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))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(/ (- x y) (+ x y))

simplify892.0ms

Counts
51 → 51
Iterations

Useful iterations: done (890.0ms)

IterNodesCost
080616
1192588
2512560
31640560
done5000553

prune87.0ms

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)))

rewrite119.0ms

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:
6.0ms
(/ y (+ x y))
6.0ms
(/ x (+ x y))
66.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ y (+ x y))
46.0ms
(/ x (+ x y))
72.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.2s

Counts
451 → 451
Iterations

Useful iterations: done (1.2s)

IterNodesCost
042220371
193217875
2254213495
done500013405

prune590.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

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)))

rewrite32.0ms

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))
20.0ms
(- (expm1 (log1p (/ x (+ x y)))) (/ y (+ x y)))

series299.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(log1p (/ x (+ x y)))
79.0ms
(expm1 (log1p (/ x (+ x y))))
40.0ms
(/ x (+ x y))
110.0ms
(- (expm1 (log1p (/ x (+ x y)))) (/ y (+ x y)))

simplify914.0ms

Counts
144 → 144
Iterations

Useful iterations: done (909.0ms)

IterNodesCost
02394282
15463583
216512686
done50002677

prune250.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

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

sample275.0ms

Algorithm
intervals
Results
148.0ms8000×body80valid