Details

Time bar (total: 17.9s)

sample23.0ms

Algorithm
intervals
Results
6.0ms187×body80valid
4.0ms33×body640valid
2.0ms11×body1280valid
1.0ms14×body320valid
1.0ms11×body160valid

simplify5.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11611
23511
37411
412311
521011
623211
724811
827511
932711
1034611
1135211
1236711
1338311
1447011
1556111
1681611
17111811
18152711
19160811
done160811

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 x) y)
3.4b
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
5.9b
(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
13×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×times-frac associate-*l/ associate-/r*
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out-- difference-of-squares
1×sub-neg frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
30.0ms
(* (- 1.0 x) y)
42.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
26.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

series200.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* (- 1.0 x) y)
86.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
76.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify1.4s

Counts
72 → 72
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0128885
1335828
21274746
done5001744

prune167.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ y 1.0))
1.7b
(/ (/ (* (- 1.0 x) y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (cbrt (+ y 1.0)))
4.3b
(/ (* (- 1.0 x) y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))
12.1b
(- 1.0 (/ (/ (* (- 1.0 x) y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (cbrt (+ y 1.0))))

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
112×cbrt-div
102×times-frac
74×associate-/r/
73×*-un-lft-identity
61×cbrt-prod
56×flip3-+ flip-+
49×add-sqr-sqrt
41×add-cube-cbrt
36×frac-times
34×add-exp-log
21×add-cbrt-cube
20×associate-*l/
18×associate-*r/
15×distribute-lft-out
14×associate-/l*
13×cbrt-undiv div-exp
10×div-inv
8×prod-exp associate-/r* cbrt-unprod
6×add-log-exp
4×pow1
3×associate-/l/ difference-of-squares
2×flip3-- frac-2neg clear-num flip--
1×sub-neg pow1/3 diff-log distribute-lft-out--
Counts
4 → 195
Calls
4 calls:
4.0ms
(cbrt (+ y 1.0))
67.0ms
(/ (/ (* (- 1.0 x) y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (cbrt (+ y 1.0)))
45.0ms
(/ (* (- 1.0 x) y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))
114.0ms
(- 1.0 (/ (/ (* (- 1.0 x) y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (cbrt (+ y 1.0))))

series465.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(cbrt (+ y 1.0))
65.0ms
(/ (/ (* (- 1.0 x) y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (cbrt (+ y 1.0)))
176.0ms
(/ (* (- 1.0 x) y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))
98.0ms
(- 1.0 (/ (/ (* (- 1.0 x) y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (cbrt (+ y 1.0))))

simplify1.7s

Counts
207 → 207
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03576500
19325760
231565347
done50015344

prune749.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 x) y)
0.1b
(* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
4.4b
(- 1.0 (* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))
17.6b
(/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0)))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
15×*-un-lft-identity associate-*l*
11×add-cube-cbrt
8×pow1 times-frac associate-*r*
7×flip3-- flip--
6×prod-exp cbrt-unprod add-log-exp
5×sub-neg associate-*l/ difference-of-squares
4×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp associate-/r* associate-/r/ associate--r+
2×frac-times associate-*r/ pow-prod-down *-commutative div-inv associate-/l/ distribute-lft-out-- unswap-sqr
1×frac-2neg diff-log clear-num associate-/l*
Counts
4 → 105
Calls
4 calls:
35.0ms
(* (- 1.0 x) y)
112.0ms
(* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
12.0ms
(- 1.0 (* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))
33.0ms
(/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0)))

series470.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (- 1.0 x) y)
101.0ms
(* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
198.0ms
(- 1.0 (* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))
124.0ms
(/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0)))

simplify1.6s

Counts
117 → 117
Iterations

Useful iterations: 2 (633.0ms)

IterNodesCost
01992202
15592099
225301841
done50001841

prune316.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×associate-*r/
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log frac-sub add-cbrt-cube flip-- div-inv distribute-lft-out-- sub-div
Counts
1 → 15
Calls
1 calls:
21.0ms
(- (/ 1.0 y) (* 1.0 (/ x y)))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(- (/ 1.0 y) (* 1.0 (/ x y)))

simplify3.8s

Counts
18 → 18
Iterations

Useful iterations: 4 (2.2s)

IterNodesCost
040250
1108237
2320217
31188217
44633183
done5000183

prune65.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes181.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 22.4b

bsearch139.0ms

Steps
ItersRangePoint
9
5729.342694487068
8685649418.189968
7066667.039373932
10
-30636816361710.875
-0.013787396536050121
-166852326.37469694

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02349
13039
done3039

end0.0ms

sample921.0ms

Algorithm
intervals
Results
238.0ms6129×body80valid
197.0ms534×body320valid
102.0ms343×body1280valid
101.0ms696×body640valid
25.0ms298×body160valid