Details

Time bar (total: 12.6s)

sample24.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify1.9s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
17.5b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-times flip3-+ flip-+
31×add-cbrt-cube add-exp-log
30×associate-*l/
27×*-un-lft-identity
26×associate-/r/
18×associate-*r/
15×pow1
13×prod-exp cbrt-unprod
11×add-sqr-sqrt
9×associate-*r* distribute-lft-out
8×add-cube-cbrt
6×cbrt-undiv swap-sqr div-exp
5×associate-*l*
4×pow-prod-down
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×distribute-rgt-in distribute-lft-in *-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 → 146
Calls
3 calls:
39.0ms
(* (+ x y) (+ x y))
121.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
87.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series260.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(* (+ x y) (+ x y))
44.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
200.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify454.0ms

Counts
155 → 155
Iterations
IterNodes
done5001
11001
0224

prune559.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite175.0ms

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-*l*
34×add-cbrt-cube add-exp-log
28×associate-/r/
24×associate-/l*
21×associate-*r*
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:
8.0ms
(/ x (+ y x))
21.0ms
(/ y (+ x (+ y 1.0)))
22.0ms
(/ (/ x (+ y x)) (+ y x))
109.0ms
(* (/ (/ x (+ y x)) (+ y x)) (/ y (+ x (+ y 1.0))))

series500.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ x (+ y x))
75.0ms
(/ y (+ x (+ y 1.0)))
99.0ms
(/ (/ x (+ y x)) (+ y x))
276.0ms
(* (/ (/ x (+ y x)) (+ y x)) (/ y (+ x (+ y 1.0))))

simplify726.0ms

Counts
330 → 330
Iterations
IterNodes
done5001
11069
0338

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
411×*-un-lft-identity
351×times-frac
177×add-sqr-sqrt
156×add-cube-cbrt
143×distribute-lft-out
90×associate-*r*
34×add-cbrt-cube add-exp-log
28×associate-/r/
27×associate-/l*
18×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 → 342
Calls
4 calls:
8.0ms
(/ x (+ y x))
23.0ms
(/ y (+ x (+ y 1.0)))
46.0ms
(/ (/ y (+ x (+ y 1.0))) (+ y x))
118.0ms
(* (/ x (+ y x)) (/ (/ y (+ x (+ y 1.0))) (+ y x)))

series368.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ x (+ y x))
52.0ms
(/ y (+ x (+ y 1.0)))
100.0ms
(/ (/ y (+ x (+ y 1.0))) (+ y x))
171.0ms
(* (/ x (+ y x)) (/ (/ y (+ x (+ y 1.0))) (+ y x)))

simplify446.0ms

Counts
354 → 354
Iterations
IterNodes
done5001
11156
0348

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x))))
8.6b
(cbrt (/ x (+ y x)))
8.6b
(cbrt (/ x (+ y x)))
8.6b
(cbrt (/ x (+ y x)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 188
Calls
4 calls:
56.0ms
(* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x))))
7.0ms
(cbrt (/ x (+ y x)))
8.0ms
(cbrt (/ x (+ y x)))
7.0ms
(cbrt (/ x (+ y x)))

series774.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x))))
131.0ms
(cbrt (/ x (+ y x)))
187.0ms
(cbrt (/ x (+ y x)))
201.0ms
(cbrt (/ x (+ y x)))

simplify1.1s

Counts
200 → 200
Iterations
IterNodes
done5000
21181
1293
0167

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done14
114
010

end0.0ms

sample751.0ms

Algorithm
intervals
Results
560.0ms8000×body80valid