Details

Time bar (total: 12.7s)

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done16
316
214
111
05

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite38.0ms

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-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp flip-+ div-inv flip-- add-log-exp
Counts
1 → 46
Calls
1 calls:
35.0ms
(/ (- x y) (+ y x))

series90.0ms

Counts
1 → 3
Calls
1 calls:
90.0ms
(/ (- x y) (+ y x))

simplify461.0ms

Counts
49 → 49
Iterations
IterNodes
done5000
2754
1197
080

prune201.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity
28×times-frac
25×add-sqr-sqrt
13×add-cube-cbrt
8×distribute-lft-out
7×distribute-lft-out--
6×associate-/r/
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp difference-of-squares
3×flip3-+ distribute-rgt-out-- flip-+ div-inv associate-/l*
2×pow1
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-- diff-log div-exp frac-sub flip-- sub-div
Counts
2 → 61
Calls
2 calls:
17.0ms
(/ x (+ y x))
84.0ms
(- (/ x (+ y x)) (/ y (+ y x)))

series163.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ x (+ y x))
116.0ms
(- (/ x (+ y x)) (/ y (+ y x)))

simplify1.6s

Counts
67 → 67
Iterations
IterNodes
done5000
33184
2676
1232
0104

prune280.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ y x))
0.1b
(/ (+ y x) (/ y (+ y x)))
0.1b
(* (/ x (+ y x)) (/ x (+ y x)))
2.4b
(/ y (/ (+ y x) (/ y (+ y x))))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
919×times-frac
748×*-un-lft-identity
402×add-sqr-sqrt
390×add-cube-cbrt
176×distribute-lft-out
99×associate-/r*
58×associate-/r/
32×add-cbrt-cube add-exp-log div-inv
27×flip3-+ flip-+
24×swap-sqr
18×associate-*r* associate-*l*
14×cbrt-undiv div-exp
11×pow1
10×associate-/l*
4×prod-exp cbrt-unprod add-log-exp unswap-sqr
3×clear-num frac-2neg
2×associate-/l/
1×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 560
Calls
4 calls:
10.0ms
(/ x (+ y x))
32.0ms
(/ (+ y x) (/ y (+ y x)))
51.0ms
(* (/ x (+ y x)) (/ x (+ y x)))
39.0ms
(/ y (/ (+ y x) (/ y (+ y x))))

series293.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(/ x (+ y x))
43.0ms
(/ (+ y x) (/ y (+ y x)))
81.0ms
(* (/ x (+ y x)) (/ x (+ y x)))
100.0ms
(/ y (/ (+ y x) (/ y (+ y x))))

simplify1.3s

Counts
572 → 572
Iterations
IterNodes
done5000
11960
0626

prune2.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ y x))
0.0b
(pow (exp (/ y (+ y x))) (/ y (+ y x)))
0.1b
(* (/ x (+ y x)) (/ x (+ y x)))
0.9b
(log (pow (exp (/ y (+ y x))) (/ y (+ y x))))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
130×*-un-lft-identity
100×times-frac
80×add-sqr-sqrt
68×add-cube-cbrt
28×distribute-lft-out
24×swap-sqr
19×pow-pow add-exp-log
18×pow-unpow exp-prod add-cbrt-cube associate-*r* associate-*l*
14×associate-/r/
12×pow1
7×log-prod flip3-+ flip-+ div-inv
6×unpow-prod-down
5×cbrt-undiv div-exp
4×associate-/r* prod-exp cbrt-unprod add-log-exp unswap-sqr
3×rem-log-exp associate-/l*
2×pow-to-exp pow-exp sqr-pow
1×pow2 frac-times clear-num frac-2neg pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr log-pow *-commutative pow-prod-up
Counts
4 → 189
Calls
4 calls:
17.0ms
(/ x (+ y x))
27.0ms
(pow (exp (/ y (+ y x))) (/ y (+ y x)))
83.0ms
(* (/ x (+ y x)) (/ x (+ y x)))
22.0ms
(log (pow (exp (/ y (+ y x))) (/ y (+ y x))))

series447.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ x (+ y x))
137.0ms
(pow (exp (/ y (+ y x))) (/ y (+ y x)))
99.0ms
(* (/ x (+ y x)) (/ x (+ y x)))
155.0ms
(log (pow (exp (/ y (+ y x))) (/ y (+ y x))))

simplify2.7s

Counts
201 → 201
Iterations
IterNodes
done5001
24866
1766
0225

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done14
114
012

end0.0ms

sample650.0ms

Algorithm
intervals
Results
307.0ms8000×body80valid