Details

Time bar (total: 10.0s)

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))

rewrite15.0ms

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:
13.0ms
(/ (- x y) (+ x y))

series69.0ms

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

simplify2.3s

Counts
51 → 51
Iterations

Useful iterations: 4 (929.0ms)

IterNodesCost
080616
1192588
2437560
31059560
42861553
done5000553

prune94.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
31×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
7×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×pow-flip flip3-+ flip-+ inv-pow
Counts
2 → 177
Calls
2 calls:
14.0ms
(/ 1 (/ (+ x y) (- x y)))
12.0ms
(/ (+ x y) (- x y))

series129.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ 1 (/ (+ x y) (- x y)))
62.0ms
(/ (+ x y) (- x y))

simplify2.9s

Counts
183 → 183
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
02072988
14702617
212322300
332682197
done50002197

prune194.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
24×add-sqr-sqrt
20×times-frac
14×add-cube-cbrt
6×distribute-lft-out
5×add-exp-log add-cbrt-cube associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r* log1p-expm1-u
3×pow1 expm1-log1p-u add-log-exp
2×associate-/r/ associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ div-sub log1p-expm1 div-exp clear-num flip-- flip-+ div-inv expm1-udef
Counts
3 → 70
Calls
3 calls:
0.0ms
(log1p (expm1 (/ (- x y) (+ x y))))
12.0ms
(/ (- x y) (+ x y))
0.0ms
(expm1 (/ (- x y) (+ x y)))

series245.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(log1p (expm1 (/ (- x y) (+ x y))))
60.0ms
(/ (- x y) (+ x y))
88.0ms
(expm1 (/ (- x y) (+ x y)))

simplify2.2s

Counts
79 → 79
Iterations

Useful iterations: 4 (884.0ms)

IterNodesCost
0103875
1223819
2472759
31095759
42892752
done5000752

prune173.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(cbrt (pow (/ (- x y) (+ x y)) 3))
0.0b
(/ (- x y) (+ x y))
0.1b
(pow (/ (- x y) (+ x y)) 3)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
100×times-frac
98×add-sqr-sqrt
58×cbrt-prod
56×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-+ flip-+ div-inv associate-/l*
4×pow1 associate-/r*
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div flip3-- pow-pow frac-2neg pow1/3 div-sub clear-num flip-- rem-cbrt-cube
Counts
3 → 192
Calls
3 calls:
13.0ms
(cbrt (pow (/ (- x y) (+ x y)) 3))
12.0ms
(/ (- x y) (+ x y))
13.0ms
(pow (/ (- x y) (+ x y)) 3)

series224.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(cbrt (pow (/ (- x y) (+ x y)) 3))
63.0ms
(/ (- x y) (+ x y))
77.0ms
(pow (/ (- x y) (+ x y)) 3)

simplify787.0ms

Counts
201 → 201
Iterations

Useful iterations: 2 (248.0ms)

IterNodesCost
01833412
15072812
215592597
done50002597

prune276.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes46.0ms

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
189
done89

end0.0ms

sample279.0ms

Algorithm
intervals
Results
152.0ms8000×body80valid