Details

Time bar (total: 12.9s)

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
done5001
43221
3647
2153
136
09

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.3b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ y x) (+ y x))
0.1b
(* (+ (+ y x) 1.0) (* (+ y x) (+ y x)))
21.1b
(/ (* x y) (* (+ (+ y x) 1.0) (* (+ y x) (+ y x))))

rewrite279.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-times flip3-+ flip-+
31×add-cbrt-cube add-exp-log
30×associate-*r/
27×*-un-lft-identity
26×associate-/r/
18×associate-*l/
15×pow1
13×prod-exp cbrt-unprod
11×add-sqr-sqrt
9×associate-*l* distribute-lft-out
8×add-cube-cbrt
6×cbrt-undiv swap-sqr div-exp
5×distribute-rgt-in distribute-lft-in associate-*r*
4×pow-prod-down
3×add-log-exp
2×*-commutative unswap-sqr
1×pow2 clear-num associate-/r* frac-2neg times-frac pow-plus pow-sqr pow-prod-up div-inv associate-/l*
Counts
3 → 142
Calls
3 calls:
45.0ms
(* (+ y x) (+ y x))
168.0ms
(* (+ (+ y x) 1.0) (* (+ y x) (+ y x)))
59.0ms
(/ (* x y) (* (+ (+ y x) 1.0) (* (+ y x) (+ y x))))

series323.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(* (+ y x) (+ y x))
61.0ms
(* (+ (+ y x) 1.0) (* (+ y x) (+ y x)))
243.0ms
(/ (* x y) (* (+ (+ y x) 1.0) (* (+ y x) (+ y x))))

simplify500.0ms

Counts
151 → 151
Iterations
IterNodes
done5001
1859
0222

prune728.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ x (+ (+ x y) 1.0))
0.0b
(/ (/ y (+ x y)) (+ x y))
0.1b
(* (/ x (+ (+ x y) 1.0)) (/ (/ y (+ x y)) (+ x y)))

rewrite329.0ms

Algorithm
rewrite-expression-head
Rules
313×*-un-lft-identity
303×times-frac
163×add-sqr-sqrt
142×add-cube-cbrt
89×distribute-lft-out
78×associate-*r*
34×add-cbrt-cube add-exp-log
28×associate-/r/
24×associate-/l*
21×associate-*l*
14×cbrt-undiv flip3-+ div-exp flip-+ div-inv
13×associate-/r*
6×pow1 prod-exp cbrt-unprod unswap-sqr
4×add-log-exp
3×clear-num frac-2neg
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 310
Calls
4 calls:
16.0ms
(/ y (+ x y))
29.0ms
(/ x (+ (+ x y) 1.0))
46.0ms
(/ (/ y (+ x y)) (+ x y))
212.0ms
(* (/ x (+ (+ x y) 1.0)) (/ (/ y (+ x y)) (+ x y)))

series452.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ y (+ x y))
65.0ms
(/ x (+ (+ x y) 1.0))
94.0ms
(/ (/ y (+ x y)) (+ x y))
236.0ms
(* (/ x (+ (+ x y) 1.0)) (/ (/ y (+ x y)) (+ x y)))

simplify616.0ms

Counts
322 → 322
Iterations
IterNodes
done5001
11094
0336

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ 1.0 (+ y x)))
0.0b
(/ y (+ y x))
0.0b
(* (/ x (+ 1.0 (+ y x))) (/ y (+ y x)))
0.1b
(/ (* (/ x (+ 1.0 (+ y x))) (/ y (+ y x))) (+ x y))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
95×*-un-lft-identity
62×times-frac
54×add-sqr-sqrt
42×add-cube-cbrt
38×add-cbrt-cube add-exp-log
30×distribute-lft-out
21×associate-*l*
18×associate-*r*
15×cbrt-undiv div-exp
13×associate-/r*
10×associate-/r/
8×prod-exp cbrt-unprod
7×associate-/l*
6×pow1
5×flip3-+ flip-+ div-inv
4×add-log-exp unswap-sqr
3×clear-num frac-2neg associate-/l/
2×frac-times associate-*l/ associate-*r/
1×pow-prod-down *-commutative
Counts
4 → 167
Calls
4 calls:
37.0ms
(/ x (+ 1.0 (+ y x)))
9.0ms
(/ y (+ y x))
111.0ms
(* (/ x (+ 1.0 (+ y x))) (/ y (+ y x)))
35.0ms
(/ (* (/ x (+ 1.0 (+ y x))) (/ y (+ y x))) (+ x y))

series530.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(/ x (+ 1.0 (+ y x)))
54.0ms
(/ y (+ y x))
168.0ms
(* (/ x (+ 1.0 (+ y x))) (/ y (+ y x)))
226.0ms
(/ (* (/ x (+ 1.0 (+ y x))) (/ y (+ y x))) (+ x y))

simplify494.0ms

Counts
179 → 179
Iterations
IterNodes
done5000
1722
0228

prune874.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ 1.0 (+ x y)) x)
0.0b
(* (/ 1 (/ (+ 1.0 (+ x y)) x)) (/ y (+ y x)))
0.1b
(/ (* (/ 1 (/ (+ 1.0 (+ x y)) x)) (/ y (+ y x))) (+ x y))
0.2b
(/ 1 (/ (+ 1.0 (+ x y)) x))

rewrite351.0ms

Algorithm
rewrite-expression-head
Rules
267×times-frac
266×*-un-lft-identity
160×add-sqr-sqrt
127×add-cube-cbrt
123×add-exp-log
80×distribute-lft-out
65×div-exp
62×associate-*l*
61×add-cbrt-cube
29×cbrt-undiv
28×prod-exp
26×associate-/r*
18×associate-*r*
12×cbrt-unprod div-inv
10×rec-exp 1-exp unswap-sqr
9×associate-/l*
7×pow1
6×associate-/r/
5×associate-/l/
4×add-log-exp
3×clear-num frac-2neg flip3-+ flip-+
2×frac-times associate-*l/ associate-*r/
1×pow-prod-down *-commutative pow-flip inv-pow
Counts
4 → 305
Calls
4 calls:
53.0ms
(/ (+ 1.0 (+ x y)) x)
180.0ms
(* (/ 1 (/ (+ 1.0 (+ x y)) x)) (/ y (+ y x)))
54.0ms
(/ (* (/ 1 (/ (+ 1.0 (+ x y)) x)) (/ y (+ y x))) (+ x y))
36.0ms
(/ 1 (/ (+ 1.0 (+ x y)) x))

series517.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ (+ 1.0 (+ x y)) x)
153.0ms
(* (/ 1 (/ (+ 1.0 (+ x y)) x)) (/ y (+ y x)))
245.0ms
(/ (* (/ 1 (/ (+ 1.0 (+ x y)) x)) (/ y (+ y x))) (+ x y))
75.0ms
(/ 1 (/ (+ 1.0 (+ x y)) x))

simplify694.0ms

Counts
317 → 317
Iterations
IterNodes
done5001
11269
0364

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample831.0ms

Algorithm
intervals
Results
553.0ms8000×body80valid