Details

Time bar (total: 15.0s)

sample20.0ms

Algorithm
intervals
Results
9.0ms256×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

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

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 flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 46
Calls
1 calls:
33.0ms
(/ (- x y) (+ x y))

series94.0ms

Counts
1 → 3
Calls
1 calls:
94.0ms
(/ (- x y) (+ x y))

simplify494.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
078600
1193573
2744545
done5000545

prune129.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
40×times-frac
35×add-sqr-sqrt
23×add-cube-cbrt
12×distribute-lft-out
8×associate-/r* associate-/r/
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×flip3-+ flip-+ div-inv difference-of-squares
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 94
Calls
3 calls:
20.0ms
(/ y (+ x y))
20.0ms
(/ x (+ x y))
113.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series210.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(/ y (+ x y))
48.0ms
(/ x (+ x y))
106.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.8s

Counts
103 → 103
Iterations

Useful iterations: 2 (455.0ms)

IterNodesCost
01301135
12871070
29341028
347021028
done50011028

prune294.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite263.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
127×*-un-lft-identity
104×add-sqr-sqrt
71×add-cube-cbrt
23×associate-/r*
21×distribute-lft-out
19×add-exp-log
13×add-cbrt-cube
10×associate-/l* difference-of-squares
9×div-exp
8×div-inv
6×add-log-exp
5×pow1 cbrt-undiv
4×distribute-lft-out--
3×frac-2neg clear-num associate-/r/
2×rec-exp flip3-+ 1-exp flip-+ associate-/l/
1×sub-neg flip3-- pow-flip diff-log frac-sub flip-- inv-pow
Counts
4 → 181
Calls
4 calls:
21.0ms
(/ (+ x y) x)
13.0ms
(/ y (+ x y))
181.0ms
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
40.0ms
(/ 1 (/ (+ x y) x))

series230.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (+ x y) x)
60.0ms
(/ y (+ x y))
87.0ms
(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
51.0ms
(/ 1 (/ (+ x y) x))

simplify1.8s

Counts
193 → 193
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02422626
16072275
232892205
done50012201

prune315.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
29×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 associate-*l*
4×div-exp prod-exp associate-/r* associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out-- inv-pow difference-of-squares
Counts
2 → 84
Calls
2 calls:
13.0ms
(/ 1 (+ x y))
48.0ms
(* (- x y) (/ 1 (+ x y)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ 1 (+ x y))
73.0ms
(* (- x y) (/ 1 (+ x y)))

simplify7.2s

Counts
90 → 90
Iterations

Useful iterations: done (7.2s)

IterNodesCost
0111939
1290804
22470681
done5001667

prune172.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11113
done1113

end0.0ms

sample562.0ms

Algorithm
intervals
Results
267.0ms8000×body80valid