Details

Time bar (total: 21.7s)

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
done5000
43563
3688
2157
136
09

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.3b

localize12.0ms

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))))

rewrite192.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 148
Calls
3 calls:
28.0ms
(* (+ y x) (+ y x))
101.0ms
(* (+ (+ y x) 1.0) (* (+ y x) (+ y x)))
56.0ms
(/ (* x y) (* (+ (+ y x) 1.0) (* (+ y x) (+ y x))))

series250.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(* (+ y x) (+ y x))
48.0ms
(* (+ (+ y x) 1.0) (* (+ y x) (+ y x)))
185.0ms
(/ (* x y) (* (+ (+ y x) 1.0) (* (+ y x) (+ y x))))

simplify495.0ms

Counts
157 → 157
Iterations
IterNodes
done5000
1879
0228

prune783.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite298.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×clear-num frac-2neg
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 318
Calls
4 calls:
9.0ms
(/ y (+ x y))
50.0ms
(/ x (+ (+ x y) 1.0))
44.0ms
(/ (/ y (+ x y)) (+ x y))
172.0ms
(* (/ x (+ (+ x y) 1.0)) (/ (/ y (+ x y)) (+ x y)))

series449.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(/ y (+ x y))
64.0ms
(/ x (+ (+ x y) 1.0))
81.0ms
(/ (/ y (+ x y)) (+ x y))
236.0ms
(* (/ x (+ (+ x y) 1.0)) (/ (/ y (+ x y)) (+ x y)))

simplify569.0ms

Counts
330 → 330
Iterations
IterNodes
done5001
11115
0344

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (/ y (+ x y)) x) (+ 1.0 (+ x y)))
0.0b
(/ y (+ x y))
0.1b
(/ (/ (* (/ y (+ x y)) x) (+ 1.0 (+ x y))) (+ x y))
7.1b
(* (/ y (+ x y)) x)

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
119×*-un-lft-identity
99×times-frac
51×add-sqr-sqrt
46×add-cube-cbrt
40×distribute-lft-out
34×add-cbrt-cube add-exp-log
18×associate-*l* associate-/r/
15×associate-/l*
14×cbrt-undiv div-exp
13×associate-/r*
9×flip3-+ flip-+ div-inv
6×pow1 prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-*r*
2×associate-*l/ unswap-sqr associate-/l/
1×pow-prod-down *-commutative
Counts
4 → 188
Calls
4 calls:
60.0ms
(/ (* (/ y (+ x y)) x) (+ 1.0 (+ x y)))
18.0ms
(/ y (+ x y))
107.0ms
(/ (/ (* (/ y (+ x y)) x) (+ 1.0 (+ x y))) (+ x y))
46.0ms
(* (/ y (+ x y)) x)

series522.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(/ (* (/ y (+ x y)) x) (+ 1.0 (+ x y)))
53.0ms
(/ y (+ x y))
207.0ms
(/ (/ (* (/ y (+ x y)) x) (+ 1.0 (+ x y))) (+ x y))
96.0ms
(* (/ y (+ x y)) x)

simplify2.0s

Counts
200 → 200
Iterations
IterNodes
done5001
24451
1692
0245

prune788.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite692.0ms

Algorithm
rewrite-expression-head
Rules
6482×times-frac
5326×*-un-lft-identity
2277×add-sqr-sqrt add-cube-cbrt
1690×distribute-lft-out
373×associate-/l*
240×associate-/r/
233×div-inv
118×flip3-+ flip-+
38×add-cbrt-cube add-exp-log
30×associate-/r*
23×cbrt-undiv div-exp
4×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
Counts
4 → 2239
Calls
4 calls:
9.0ms
(/ y (+ x y))
75.0ms
(/ (+ 1.0 (+ x y)) x)
183.0ms
(/ (/ (/ y (+ x y)) (/ (+ 1.0 (+ x y)) x)) (+ x y))
75.0ms
(/ (/ y (+ x y)) (/ (+ 1.0 (+ x y)) x))

series620.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(/ y (+ x y))
45.0ms
(/ (+ 1.0 (+ x y)) x)
269.0ms
(/ (/ (/ y (+ x y)) (/ (+ 1.0 (+ x y)) x)) (+ x y))
231.0ms
(/ (/ y (+ x y)) (/ (+ 1.0 (+ x y)) x))

simplify1.2s

Counts
2251 → 2251
Iterations
IterNodes
done5000
01841

prune7.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
09

end0.0ms

sample825.0ms

Algorithm
intervals
Results
552.0ms8000×body80valid