Details

Time bar (total: 4.4s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify25.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1284
2434
3564
4724
51334
62144
72654
82974
92974
done2974

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
14×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-sub div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 60
Calls
1 calls:
40.0ms
(/ (- x y) (- 2.0 (+ x y)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify130.0ms

Counts
63 → 63
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0283498
1886475
24321474
35001474
done5001474

prune110.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
0.0b
(/ y (- 2.0 (+ x y)))
0.0b
(/ x (- 2.0 (+ x y)))

rewrite387.0ms

Algorithm
rewrite-expression-head
Rules
1352×*-un-lft-identity
946×times-frac
843×add-sqr-sqrt
576×prod-diff
517×add-cube-cbrt
335×distribute-lft-out--
161×distribute-lft-out difference-of-squares
106×associate-/r/
54×flip3-- flip--
53×div-inv
24×fma-neg
12×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 722
Calls
3 calls:
253.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
30.0ms
(/ y (- 2.0 (+ x y)))
28.0ms
(/ x (- 2.0 (+ x y)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
47.0ms
(/ y (- 2.0 (+ x y)))
59.0ms
(/ x (- 2.0 (+ x y)))

simplify247.0ms

Counts
731 → 731
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
0130423967
1366317833
2500117718
done500117718

prune946.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (log1p (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))))
0.0b
(/ x (- 2.0 (+ x y)))
0.0b
(/ y (- 2.0 (+ x y)))
1.4b
(log1p (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
42×add-sqr-sqrt
36×times-frac
26×add-cube-cbrt
16×distribute-lft-out--
12×associate-/r*
8×add-exp-log add-cbrt-cube distribute-lft-out difference-of-squares
6×associate-/l*
5×expm1-log1p-u
4×pow1 associate-/r/ log1p-expm1-u add-log-exp
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
1×log1p-udef expm1-log1p log1p-expm1 expm1-udef
Counts
4 → 108
Calls
4 calls:
0.0ms
(expm1 (log1p (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))))
31.0ms
(/ x (- 2.0 (+ x y)))
28.0ms
(/ y (- 2.0 (+ x y)))
1.0ms
(log1p (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

series426.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(expm1 (log1p (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))))
46.0ms
(/ x (- 2.0 (+ x y)))
51.0ms
(/ y (- 2.0 (+ x y)))
144.0ms
(log1p (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

simplify45.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0439875
11424804
25001786
done5001786

prune294.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (- 2.0 (+ x y)))
0.0b
(/ y (- 2.0 (+ x y)))
8.1b
(* (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
16.9b
(/ x (- (* 2.0 2.0) (* (+ x y) (+ x y))))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
89×*-un-lft-identity
65×add-sqr-sqrt
61×times-frac
44×add-cube-cbrt
18×associate-*l*
16×associate-/r* distribute-lft-out--
15×add-exp-log add-cbrt-cube difference-of-squares
11×distribute-lft-out
9×associate-/l*
8×associate-/r/
6×pow1
5×associate-*r*
4×cbrt-undiv expm1-log1p-u flip3-- div-exp flip-- log1p-expm1-u div-inv add-log-exp
3×frac-2neg clear-num
2×frac-times flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+ unswap-sqr
1×distribute-rgt-in distribute-lft-in pow-prod-down associate-*l/ *-commutative
Counts
4 → 168
Calls
4 calls:
27.0ms
(/ y (- 2.0 (+ x y)))
29.0ms
(/ y (- 2.0 (+ x y)))
85.0ms
(* (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
13.0ms
(/ x (- (* 2.0 2.0) (* (+ x y) (+ x y))))

series262.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ y (- 2.0 (+ x y)))
50.0ms
(/ y (- 2.0 (+ x y)))
91.0ms
(* (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
76.0ms
(/ x (- (* 2.0 2.0) (* (+ x y) (+ x y))))

simplify84.0ms

Counts
180 → 180
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06481463
130421351
250021346
done50021346

prune498.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes33.0ms

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
097
197
done97

end0.0ms

sample335.0ms

Algorithm
intervals
Results
163.0ms7999×body80valid
0.0ms1×body1280valid