Details

Time bar (total: 13.4s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1117
2147
3167
done167

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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))

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(/ (- x y) (+ x y))

simplify2.6s

Counts
51 → 51
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
080616
1193588
2481560
31190560
43366553
done5002553

prune124.0ms

Pruning

3 alts after pruning (3 fresh and 0 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)))

rewrite222.0ms

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:
16.0ms
(/ y (+ x y))
15.0ms
(/ x (+ x y))
131.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series205.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ y (+ x y))
56.0ms
(/ x (+ x y))
95.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.5s

Counts
451 → 451
Iterations

Useful iterations: done (1.5s)

IterNodesCost
042220371
192017875
2198813531
done500110012

prune545.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ x (+ x y))
0.0b
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
3.7b
(log (exp (/ y (+ x y))))

rewrite361.0ms

Algorithm
rewrite-expression-head
Rules
649×*-un-lft-identity
529×times-frac
396×prod-diff
383×add-sqr-sqrt
378×add-cube-cbrt
362×log-pow
342×exp-prod
134×distribute-lft-out
88×associate-/r/
44×flip3-+ flip-+ div-inv
24×pow1
18×fma-neg
8×add-exp-log associate-/r* add-cbrt-cube
6×log-prod associate-/l*
5×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate--r+
2×cbrt-undiv frac-2neg div-exp clear-num distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- diff-log rem-log-exp flip--
Counts
4 → 537
Calls
4 calls:
17.0ms
(/ y (+ x y))
17.0ms
(/ x (+ x y))
226.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
32.0ms
(log (exp (/ y (+ x y))))

series247.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ y (+ x y))
56.0ms
(/ x (+ x y))
102.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
48.0ms
(log (exp (/ y (+ x y))))

simplify1.7s

Counts
549 → 549
Iterations

Useful iterations: done (1.6s)

IterNodesCost
051927051
1103920429
2211015654
done500012947

prune729.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
100×*-un-lft-identity
69×add-sqr-sqrt
64×add-cube-cbrt
61×times-frac
54×prod-diff
17×distribute-lft-out
10×associate-/r/
8×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×flip3-+ flip-+ div-inv add-log-exp
3×pow1 expm1-log1p-u fma-neg log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num difference-of-squares
1×associate--l- sub-neg flip3-- diff-log flip-- distribute-lft-out-- expm1-udef
Counts
3 → 145
Calls
3 calls:
12.0ms
(/ y (+ x y))
16.0ms
(/ x (+ x y))
27.0ms
(- (expm1 (log1p (/ x (+ x y)))) (/ y (+ x y)))

series542.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ y (+ x y))
62.0ms
(/ x (+ x y))
423.0ms
(- (expm1 (log1p (/ x (+ x y)))) (/ y (+ x y)))

simplify3.4s

Counts
154 → 154
Iterations

Useful iterations: done (3.4s)

IterNodesCost
02384416
15313724
213572831
347122067
done50002063

prune376.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

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
0813
1913
done913

end0.0ms

sample601.0ms

Algorithm
intervals
Results
371.0ms8000×body80valid