Details

Time bar (total: 7.3s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify12.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

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:
39.0ms
(/ (- x y) (+ x y))

series86.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(/ (- x y) (+ x y))

simplify449.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (115.0ms)

IterNodesCost
078600
1193573
2744545
done5000545

prune86.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite147.0ms

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:
16.0ms
(/ x (+ x y))
109.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
16.0ms
(/ y (+ x y))

series211.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ x (+ x y))
101.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
58.0ms
(/ y (+ x y))

simplify2.2s

Counts
103 → 103
Iterations

Useful iterations: 2 (140.0ms)

IterNodesCost
01301135
12871070
29411028
348161028
done50001028

prune172.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (+ x y)) (* (/ y (- (* x x) (* y y))) (- x y)))
2.2b
(- (* x x) (* y y))
7.2b
(* (/ y (- (* x x) (* y y))) (- x y))
16.5b
(/ y (- (* x x) (* y y)))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×times-frac
24×*-un-lft-identity
22×add-cube-cbrt
18×associate-*l*
11×add-exp-log add-cbrt-cube
9×flip-- difference-of-squares
8×flip3-- add-log-exp
6×pow1 sub-neg
5×associate-*r/ associate-*r* associate-/r/ frac-sub
4×distribute-rgt-in frac-times distribute-lft-in associate-/r* associate--r+
3×associate-/l*
2×cbrt-undiv diff-log div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
1×distribute-rgt-out-- frac-2neg pow-prod-down clear-num *-commutative flip-+ distribute-lft-out-- sub-div
Counts
4 → 116
Calls
4 calls:
69.0ms
(- (/ x (+ x y)) (* (/ y (- (* x x) (* y y))) (- x y)))
8.0ms
(- (* x x) (* y y))
54.0ms
(* (/ y (- (* x x) (* y y))) (- x y))
13.0ms
(/ y (- (* x x) (* y y)))

series367.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(- (/ x (+ x y)) (* (/ y (- (* x x) (* y y))) (- x y)))
47.0ms
(- (* x x) (* y y))
92.0ms
(* (/ y (- (* x x) (* y y))) (- x y))
65.0ms
(/ y (- (* x x) (* y y)))

simplify2.4s

Counts
128 → 128
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01892230
15782150
237811978
done50011972

prune378.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

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
0611
1711
done711

end0.0ms

sample510.0ms

Algorithm
intervals
Results
261.0ms8000×body80valid