Details

Time bar (total: 14.8s)

sample25.0ms

Algorithm
intervals
Results
6.0ms183×body80valid
3.0ms28×body640valid
2.0ms19×body320valid
2.0ms11×body1280valid
1.0ms15×body160valid

simplify1.2s

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.1b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite87.0ms

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:
12.0ms
(/ y (+ 1.0 y))
67.0ms
(* (- 1.0 x) (/ y (+ 1.0 y)))
5.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ 1.0 y))))

series253.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(/ y (+ 1.0 y))
77.0ms
(* (- 1.0 x) (/ y (+ 1.0 y)))
114.0ms
(- 1.0 (* (- 1.0 x) (/ y (+ 1.0 y))))

simplify1.4s

Counts
97 → 97
Iterations
IterNodes
done5001
22479
1424
0157

prune481.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ 1.0 y))
0.0b
(* (- 1.0 x) (* y (/ 1 (+ 1.0 y))))
0.1b
(* y (/ 1 (+ 1.0 y)))
6.5b
(- 1.0 (* (- 1.0 x) (* y (/ 1 (+ 1.0 y)))))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
32×add-sqr-sqrt add-exp-log
26×times-frac
23×add-cube-cbrt
20×add-cbrt-cube
19×associate-*r*
13×prod-exp
12×pow1
8×associate-*l*
7×cbrt-unprod distribute-lft-out
6×div-exp associate-*r/ add-log-exp
4×frac-times associate-/r* flip3-- pow-prod-down associate-/r/ un-div-inv flip--
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×flip3-+ associate-*l/ *-commutative flip-+ div-inv
1×clear-num sub-neg frac-2neg diff-log pow-flip distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 122
Calls
4 calls:
10.0ms
(/ 1 (+ 1.0 y))
58.0ms
(* (- 1.0 x) (* y (/ 1 (+ 1.0 y))))
39.0ms
(* y (/ 1 (+ 1.0 y)))
14.0ms
(- 1.0 (* (- 1.0 x) (* y (/ 1 (+ 1.0 y)))))

series227.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ 1 (+ 1.0 y))
62.0ms
(* (- 1.0 x) (* y (/ 1 (+ 1.0 y))))
45.0ms
(* y (/ 1 (+ 1.0 y)))
84.0ms
(- 1.0 (* (- 1.0 x) (* y (/ 1 (+ 1.0 y)))))

simplify1.6s

Counts
134 → 134
Iterations
IterNodes
done5000
22720
1523
0191

prune528.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ 1.0 y) y)
0.1b
(/ (- 1.0 x) (/ (+ 1.0 y) y))
3.4b
(- 1.0 (* 1 (/ (- 1.0 x) (/ (+ 1.0 y) y))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
164×times-frac
156×*-un-lft-identity
111×add-sqr-sqrt
77×add-cube-cbrt
22×distribute-lft-out
19×associate-/r*
18×distribute-lft-out--
17×difference-of-squares
10×add-cbrt-cube add-exp-log
9×associate-/l*
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1
2×clear-num frac-2neg flip3-- flip--
1×sub-neg flip3-+ diff-log div-sub associate-/r/ flip-+
Counts
3 → 165
Calls
3 calls:
14.0ms
(/ (+ 1.0 y) y)
24.0ms
(/ (- 1.0 x) (/ (+ 1.0 y) y))
7.0ms
(- 1.0 (* 1 (/ (- 1.0 x) (/ (+ 1.0 y) y))))

series185.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (+ 1.0 y) y)
56.0ms
(/ (- 1.0 x) (/ (+ 1.0 y) y))
78.0ms
(- 1.0 (* 1 (/ (- 1.0 x) (/ (+ 1.0 y) y))))

simplify1.4s

Counts
174 → 174
Iterations
IterNodes
done5000
23942
1769
0245

prune825.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- 1.0 x) (/ (+ 1.0 y) y))
0.1b
(* (/ (- 1.0 x) (/ (+ 1.0 y) y)) (/ (- 1.0 x) (/ (+ 1.0 y) y)))
3.3b
(- (* 1.0 1.0) (* (/ (- 1.0 x) (/ (+ 1.0 y) y)) (/ (- 1.0 x) (/ (+ 1.0 y) y))))
8.0b
(/ (- (* 1.0 1.0) (* (/ (- 1.0 x) (/ (+ 1.0 y) y)) (/ (- 1.0 x) (/ (+ 1.0 y) y)))) (+ (/ (- 1.0 x) (/ (+ 1.0 y) y)) 1.0))

rewrite570.0ms

Algorithm
rewrite-expression-head
Rules
1026×times-frac
1013×*-un-lft-identity
601×add-sqr-sqrt
379×add-cube-cbrt
159×swap-sqr
137×distribute-lft-out distribute-lft-out--
99×difference-of-squares
85×associate-*r* associate-*l*
47×add-cbrt-cube add-exp-log
36×div-inv
22×cbrt-undiv div-exp
20×associate-/r*
11×pow1
9×prod-exp cbrt-unprod associate-/l* unswap-sqr
7×associate-/r/
6×add-log-exp
4×associate-/l/
3×flip3-- flip--
2×clear-num frac-2neg div-sub
1×pow2 frac-times sub-neg flip3-+ pow-plus diff-log pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up flip-+
Counts
4 → 545
Calls
4 calls:
23.0ms
(/ (- 1.0 x) (/ (+ 1.0 y) y))
298.0ms
(* (/ (- 1.0 x) (/ (+ 1.0 y) y)) (/ (- 1.0 x) (/ (+ 1.0 y) y)))
6.0ms
(- (* 1.0 1.0) (* (/ (- 1.0 x) (/ (+ 1.0 y) y)) (/ (- 1.0 x) (/ (+ 1.0 y) y))))
180.0ms
(/ (- (* 1.0 1.0) (* (/ (- 1.0 x) (/ (+ 1.0 y) y)) (/ (- 1.0 x) (/ (+ 1.0 y) y)))) (+ (/ (- 1.0 x) (/ (+ 1.0 y) y)) 1.0))

series821.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(/ (- 1.0 x) (/ (+ 1.0 y) y))
65.0ms
(* (/ (- 1.0 x) (/ (+ 1.0 y) y)) (/ (- 1.0 x) (/ (+ 1.0 y) y)))
132.0ms
(- (* 1.0 1.0) (* (/ (- 1.0 x) (/ (+ 1.0 y) y)) (/ (- 1.0 x) (/ (+ 1.0 y) y))))
557.0ms
(/ (- (* 1.0 1.0) (* (/ (- 1.0 x) (/ (+ 1.0 y) y)) (/ (- 1.0 x) (/ (+ 1.0 y) y)))) (+ (/ (- 1.0 x) (/ (+ 1.0 y) y)) 1.0))

simplify965.0ms

Counts
557 → 557
Iterations
IterNodes
done5001
12230
0547

prune2.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes334.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 14.6b

bsearch101.0ms

Steps
ItersRangePoint
6
64260609.3427585
488997712.5877659
186709514.1052932
9
-3322970397.4786234
-6367.3348759504115
-234223145.0566811

simplify3.0ms

Iterations
IterNodes
done31
131
021

end0.0ms

sample1.4s

Algorithm
intervals
Results
724.0ms6080×body80valid
178.0ms752×body640valid
164.0ms364×body1280valid
69.0ms498×body320valid
31.0ms306×body160valid