Details

Time bar (total: 15.9s)

sample21.0ms

Algorithm
intervals
Results
6.0ms201×body80valid
2.0ms17×body640valid
2.0ms21×body320valid
1.0ms6×body1280valid
1.0ms11×body160valid

simplify981.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
61686
5419
4152
374
235
116
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 x) y)
4.3b
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.2b
(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
13×add-sqr-sqrt
10×add-cbrt-cube add-exp-log
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-/r* times-frac associate-*l/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod distribute-lft-out distribute-lft-out-- difference-of-squares associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ diff-log pow-prod-down *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
29.0ms
(* (- 1.0 x) y)
28.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
27.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

series197.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* (- 1.0 x) y)
93.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
68.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify1.4s

Counts
72 → 72
Iterations
IterNodes
done5000
22052
1347
0128

prune284.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ y 1.0))
0.0b
(* (- 1.0 x) (/ y (+ y 1.0)))
4.3b
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
28×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
18×associate-*r*
10×add-cbrt-cube add-exp-log
7×distribute-lft-out
5×pow1 associate-*l* add-log-exp
4×associate-/r* associate-/r/
3×flip3-- flip-- associate-/l*
2×frac-times cbrt-undiv flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
1×clear-num sub-neg frac-2neg diff-log pow-prod-down associate-*r/ *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 88
Calls
3 calls:
10.0ms
(/ y (+ y 1.0))
37.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
4.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series182.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ y (+ y 1.0))
59.0ms
(* (- 1.0 x) (/ y (+ y 1.0)))
81.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify2.0s

Counts
97 → 97
Iterations
IterNodes
done5000
22472
1424
0157

prune421.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (* (/ y (+ 1.0 y)) (- 1.0 x)) (* (/ y (+ 1.0 y)) (- 1.0 x))) (* (/ y (+ 1.0 y)) (- 1.0 x)))
0.1b
(* (* (/ y (+ 1.0 y)) (- 1.0 x)) (* (/ y (+ 1.0 y)) (- 1.0 x)))
4.3b
(- (* 1.0 (* 1.0 1.0)) (* (* (* (/ y (+ 1.0 y)) (- 1.0 x)) (* (/ y (+ 1.0 y)) (- 1.0 x))) (* (/ y (+ 1.0 y)) (- 1.0 x))))
15.3b
(/ (- (* 1.0 (* 1.0 1.0)) (* (* (* (/ y (+ 1.0 y)) (- 1.0 x)) (* (/ y (+ 1.0 y)) (- 1.0 x))) (* (/ y (+ 1.0 y)) (- 1.0 x)))) (+ (* (* (/ y (+ 1.0 y)) (- 1.0 x)) (+ 1.0 (* (/ y (+ 1.0 y)) (- 1.0 x)))) (* 1.0 1.0)))

rewrite2.2s

Algorithm
rewrite-expression-head
Rules
590×frac-times
280×associate-*r/
242×flip3-- flip--
213×add-cbrt-cube add-exp-log
198×pow1
190×associate-*l/
134×prod-exp cbrt-unprod
86×pow-prod-down
38×pow-prod-up
35×cbrt-undiv div-exp
24×distribute-rgt-in distribute-lft-in
19×pow-plus
16×pow-sqr
13×add-sqr-sqrt sub-neg *-un-lft-identity add-cube-cbrt
12×times-frac
8×associate--r+
6×pow3 add-log-exp
5×difference-cubes cube-unmult
4×pow2 associate-/l*
3×associate-/r*
2×associate-*r* associate-*l* associate-/r/ *-commutative associate-/l/
1×clear-num frac-2neg flip3-+ diff-log div-sub swap-sqr flip-+ div-inv
Counts
4 → 481
Calls
4 calls:
418.0ms
(* (* (* (/ y (+ 1.0 y)) (- 1.0 x)) (* (/ y (+ 1.0 y)) (- 1.0 x))) (* (/ y (+ 1.0 y)) (- 1.0 x)))
117.0ms
(* (* (/ y (+ 1.0 y)) (- 1.0 x)) (* (/ y (+ 1.0 y)) (- 1.0 x)))
388.0ms
(- (* 1.0 (* 1.0 1.0)) (* (* (* (/ y (+ 1.0 y)) (- 1.0 x)) (* (/ y (+ 1.0 y)) (- 1.0 x))) (* (/ y (+ 1.0 y)) (- 1.0 x))))
1.3s
(/ (- (* 1.0 (* 1.0 1.0)) (* (* (* (/ y (+ 1.0 y)) (- 1.0 x)) (* (/ y (+ 1.0 y)) (- 1.0 x))) (* (/ y (+ 1.0 y)) (- 1.0 x)))) (+ (* (* (/ y (+ 1.0 y)) (- 1.0 x)) (+ 1.0 (* (/ y (+ 1.0 y)) (- 1.0 x)))) (* 1.0 1.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (* (* (/ y (+ 1.0 y)) (- 1.0 x)) (* (/ y (+ 1.0 y)) (- 1.0 x))) (* (/ y (+ 1.0 y)) (- 1.0 x)))
64.0ms
(* (* (/ y (+ 1.0 y)) (- 1.0 x)) (* (/ y (+ 1.0 y)) (- 1.0 x)))
240.0ms
(- (* 1.0 (* 1.0 1.0)) (* (* (* (/ y (+ 1.0 y)) (- 1.0 x)) (* (/ y (+ 1.0 y)) (- 1.0 x))) (* (/ y (+ 1.0 y)) (- 1.0 x))))
850.0ms
(/ (- (* 1.0 (* 1.0 1.0)) (* (* (* (/ y (+ 1.0 y)) (- 1.0 x)) (* (/ y (+ 1.0 y)) (- 1.0 x))) (* (/ y (+ 1.0 y)) (- 1.0 x)))) (+ (* (* (/ y (+ 1.0 y)) (- 1.0 x)) (+ 1.0 (* (/ y (+ 1.0 y)) (- 1.0 x)))) (* 1.0 1.0)))

simplify1.8s

Counts
493 → 493
Iterations
IterNodes
done5000
12780
0685

prune2.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity add-log-exp
3×add-sqr-sqrt
2×diff-log frac-sub distribute-lft-out--
1×pow1 sum-log sub-neg flip3-+ flip3-- add-cbrt-cube associate--l+ add-exp-log add-cube-cbrt flip-+ flip-- distribute-lft-out difference-of-squares
Counts
1 → 19
Calls
1 calls:
124.0ms
(- (+ x (/ 1.0 y)) (/ (* x 1.0) y))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(- (+ x (/ 1.0 y)) (/ (* x 1.0) y))

simplify1.2s

Counts
22 → 22
Iterations
IterNodes
done5000
2966
1177
064

prune85.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes172.0ms

Accuracy

99.7% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 14.4b

bsearch127.0ms

Steps
ItersRangePoint
10
595377.2589799166
3.2296043314775124e+20
256213875.7381433
8
-1.972074682316576e+16
-17239113253358.373
-17413228841055.012

simplify6.0ms

Iterations
IterNodes
done26
126
019

end0.0ms

sample1.0s

Algorithm
intervals
Results
413.0ms6095×body80valid
180.0ms717×body640valid
109.0ms535×body320valid
87.0ms381×body1280valid
25.0ms272×body160valid