Details

Time bar (total: 13.2s)

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify11.0ms

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

localize7.0ms

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))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(/ (- x y) (+ x y))

simplify2.3s

Counts
51 → 51
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
080616
1193588
2481560
31190560
43366553
done5002553

prune100.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

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)))

rewrite214.0ms

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

series201.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ x (+ x y))
52.0ms
(/ y (+ x y))
93.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.6s

Counts
451 → 451
Iterations

Useful iterations: done (1.6s)

IterNodesCost
042220371
192017875
2198713531
done500110012

prune589.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
61×add-sqr-sqrt
60×times-frac
52×exp-prod
35×add-cube-cbrt
27×log-pow
16×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
6×associate-/r/
5×add-exp-log add-cbrt-cube associate-/l*
4×pow1 associate-/r* add-log-exp
3×expm1-log1p-u log-prod flip3-+ div-sub flip-+ log1p-expm1-u div-inv
2×exp-diff associate-/l/
1×cbrt-undiv log-div flip3-- frac-2neg div-exp rem-log-exp clear-num flip-- rem-exp-log
Counts
3 → 126
Calls
3 calls:
47.0ms
(log (exp (/ (- x y) (+ x y))))
41.0ms
(exp (/ (- x y) (+ x y)))
36.0ms
(/ (- x y) (+ x y))

series259.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(log (exp (/ (- x y) (+ x y))))
86.0ms
(exp (/ (- x y) (+ x y)))
103.0ms
(/ (- x y) (+ x y))

simplify2.7s

Counts
135 → 135
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
01441477
12661316
25951251
314071251
438791232
done50001232

prune372.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- y) (+ y x))
0.0b
(fma (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (/ (- y) (+ y x)))
8.8b
(sqrt (/ x (+ x y)))
8.8b
(sqrt (/ x (+ x y)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
80×*-un-lft-identity
66×times-frac
52×add-sqr-sqrt
46×add-cube-cbrt
36×sqrt-prod
17×distribute-lft-out
15×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/l*
6×pow1 add-exp-log associate-/r/ add-cbrt-cube
5×neg-mul-1
4×expm1-log1p-u rem-sqrt-square associate-/r* log1p-expm1-u add-log-exp
3×flip3-+ flip-+ div-inv
2×sqrt-pow1 pow1/2 sqrt-div
1×cbrt-undiv neg-sub0 frac-2neg div-sub distribute-frac-neg div-exp clear-num fma-udef
Counts
4 → 146
Calls
4 calls:
14.0ms
(/ (- y) (+ y x))
0.0ms
(fma (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (/ (- y) (+ y x)))
17.0ms
(sqrt (/ x (+ x y)))
22.0ms
(sqrt (/ x (+ x y)))

series375.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ (- y) (+ y x))
156.0ms
(fma (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (/ (- y) (+ y x)))
74.0ms
(sqrt (/ x (+ x y)))
100.0ms
(sqrt (/ x (+ x y)))

simplify3.0s

Counts
158 → 158
Iterations

Useful iterations: 2 (199.0ms)

IterNodesCost
01881835
13251614
26781524
314871524
441181524
done50001524

prune551.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes55.0ms

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
0611
1711
done711

end0.0ms

sample563.0ms

Algorithm
intervals
Results
285.0ms8000×body80valid