Details

Time bar (total: 7.7s)

sample24.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

prune3.0ms

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 (+ x y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
22.0ms
(/ x (+ x y))

series69.0ms

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

simplify1.5s

Counts
36 → 36
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
059324
1128305
2416287
32208287
done5002287

prune82.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x y))
0.2b
(* x (/ 1 (+ x y)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
27×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out
5×pow1
4×div-exp prod-exp associate-/r* associate-/r/
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 78
Calls
2 calls:
12.0ms
(/ 1 (+ x y))
55.0ms
(* x (/ 1 (+ x y)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ 1 (+ x y))
71.0ms
(* x (/ 1 (+ x y)))

simplify847.0ms

Counts
84 → 84
Iterations

Useful iterations: done (843.0ms)

IterNodesCost
095755
1248622
21227523
done5000521

prune149.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* (/ 1 (- (* x x) (* y y))) (- x y)))
0.9b
(/ 1 (- (* x x) (* y y)))
4.8b
(- (* x x) (* y y))
27.4b
(* (/ 1 (- (* x x) (* y y))) (- x y))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-sqr-sqrt
26×*-un-lft-identity times-frac
23×add-cube-cbrt
21×associate-*l*
20×add-cbrt-cube
13×prod-exp
12×pow1
10×distribute-rgt-in distribute-lft-in
9×associate-*r/ difference-of-squares
7×sub-neg flip3-- flip-- cbrt-unprod
6×div-exp associate-*r* add-log-exp
4×frac-times pow-prod-down associate-/r* associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×associate-*l/ *-commutative div-inv
1×pow-flip frac-2neg diff-log clear-num distribute-lft-out-- inv-pow
Counts
4 → 135
Calls
4 calls:
111.0ms
(* x (* (/ 1 (- (* x x) (* y y))) (- x y)))
29.0ms
(/ 1 (- (* x x) (* y y)))
8.0ms
(- (* x x) (* y y))
85.0ms
(* (/ 1 (- (* x x) (* y y))) (- x y))

series292.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* x (* (/ 1 (- (* x x) (* y y))) (- x y)))
48.0ms
(/ 1 (- (* x x) (* y y)))
54.0ms
(- (* x x) (* y y))
74.0ms
(* (/ 1 (- (* x x) (* y y))) (- x y))

simplify3.3s

Counts
147 → 147
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01782362
15182186
241101630
done50021614

prune336.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes71.0ms

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
045
155
done55

end0.0ms

sample508.0ms

Algorithm
intervals
Results
209.0ms8000×body80valid