Details

Time bar (total: 13.3s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
187
297
done97

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
12.0ms
(/ (+ x y) (- x y))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ (+ x y) (- x y))

simplify2.6s

Counts
50 → 50
Iterations

Useful iterations: 3 (230.0ms)

IterNodesCost
078606
1175582
2430554
31090547
42903547
done5000547

prune93.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 178
Calls
2 calls:
13.0ms
(/ (- x y) (+ x y))
14.0ms
(/ 1 (/ (- x y) (+ x y)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ (- x y) (+ x y))
70.0ms
(/ 1 (/ (- x y) (+ x y)))

simplify2.9s

Counts
184 → 184
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
02092998
14962631
212832296
334452256
done50002256

prune222.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite61.0ms

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 associate-/r* add-cbrt-cube
4×pow1 associate-/l* add-log-exp
3×expm1-log1p-u log-prod flip3-- flip-- log1p-expm1-u div-inv
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ rem-exp-log
Counts
3 → 123
Calls
3 calls:
20.0ms
(exp (/ (+ x y) (- x y)))
24.0ms
(log (exp (/ (+ x y) (- x y))))
11.0ms
(/ (+ x y) (- x y))

series218.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(exp (/ (+ x y) (- x y)))
68.0ms
(log (exp (/ (+ x y) (- x y))))
69.0ms
(/ (+ x y) (- x y))

simplify2.5s

Counts
132 → 132
Iterations

Useful iterations: 3 (310.0ms)

IterNodesCost
01381441
12451296
25191231
312891212
432131212
done50001212

prune260.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (expm1 (log1p (exp (/ (+ x y) (- x y))))))
0.0b
(/ (+ x y) (- x y))
0.5b
(log1p (exp (/ (+ x y) (- x y))))
0.5b
(expm1 (log1p (exp (/ (+ x y) (- x y)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
26×add-sqr-sqrt
20×times-frac
16×add-cube-cbrt
7×add-exp-log
6×add-cbrt-cube distribute-lft-out
5×pow1 expm1-log1p-u associate-/r* distribute-lft-out-- difference-of-squares
4×log1p-expm1-u associate-/l* add-log-exp
3×log-prod
2×associate-/r/ associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ log1p-expm1 div-exp rem-log-exp clear-num log-pow flip-- flip-+ div-inv expm1-udef
Counts
4 → 83
Calls
4 calls:
1.0ms
(log (expm1 (log1p (exp (/ (+ x y) (- x y))))))
11.0ms
(/ (+ x y) (- x y))
0.0ms
(log1p (exp (/ (+ x y) (- x y))))
0.0ms
(expm1 (log1p (exp (/ (+ x y) (- x y)))))

series923.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(log (expm1 (log1p (exp (/ (+ x y) (- x y))))))
69.0ms
(/ (+ x y) (- x y))
488.0ms
(log1p (exp (/ (+ x y) (- x y))))
177.0ms
(expm1 (log1p (exp (/ (+ x y) (- x y)))))

simplify2.6s

Counts
95 → 95
Iterations

Useful iterations: 3 (262.0ms)

IterNodesCost
01171126
12221035
2484917
31151910
42990910
done5001910

prune241.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes54.0ms

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
079
1109
done109

end0.0ms

sample315.0ms

Algorithm
intervals
Results
174.0ms8000×body80valid