Details

Time bar (total: 7.6s)

sample36.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify207.0ms

Counts
1 → 1
Iterations
IterNodes
done202
7202
6198
5169
4116
367
235
117
09

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (* y y))
0.0b
(* 4.0 (* y y))
3.3b
(- (* x x) (* 4.0 (* y y)))
30.1b
(/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt add-cbrt-cube add-exp-log
14×pow1 *-un-lft-identity add-cube-cbrt
9×times-frac
6×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×associate-/r* associate-/l*
2×flip3-- associate-*r* associate-/r/ *-commutative flip-- unswap-sqr associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ diff-log div-sub div-exp flip-+ div-inv
Counts
4 → 82
Calls
4 calls:
16.0ms
(* 4.0 (* y y))
16.0ms
(* 4.0 (* y y))
13.0ms
(- (* x x) (* 4.0 (* y y)))
38.0ms
(/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))

series202.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* 4.0 (* y y))
32.0ms
(* 4.0 (* y y))
60.0ms
(- (* x x) (* 4.0 (* y y)))
80.0ms
(/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y))))

simplify992.0ms

Counts
94 → 94
Iterations
IterNodes
done5000
21789
1315
0107

prune438.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune14.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* (* 4.0 y) y))
0.0b
(/ 1 (/ (+ (* x x) (* (* 4.0 y) y)) (- (* x x) (* (* 4.0 y) y))))
3.3b
(- (* x x) (* (* 4.0 y) y))
30.1b
(/ (+ (* x x) (* (* 4.0 y) y)) (- (* x x) (* (* 4.0 y) y)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-/r*
17×add-exp-log
11×add-cbrt-cube associate-/r/
8×div-exp add-log-exp
6×flip3-- div-inv flip-- associate-/l*
5×pow1
4×cbrt-undiv
2×rec-exp clear-num frac-2neg flip3-+ 1-exp flip-+ associate-/l/
1×+-commutative sum-log sub-neg diff-log pow-flip inv-pow
Counts
4 → 138
Calls
4 calls:
9.0ms
(+ (* x x) (* (* 4.0 y) y))
32.0ms
(/ 1 (/ (+ (* x x) (* (* 4.0 y) y)) (- (* x x) (* (* 4.0 y) y))))
11.0ms
(- (* x x) (* (* 4.0 y) y))
49.0ms
(/ (+ (* x x) (* (* 4.0 y) y)) (- (* x x) (* (* 4.0 y) y)))

series251.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ (* x x) (* (* 4.0 y) y))
79.0ms
(/ 1 (/ (+ (* x x) (* (* 4.0 y) y)) (- (* x x) (* (* 4.0 y) y))))
56.0ms
(- (* x x) (* (* 4.0 y) y))
68.0ms
(/ (+ (* x x) (* (* 4.0 y) y)) (- (* x x) (* (* 4.0 y) y)))

simplify1.2s

Counts
150 → 150
Iterations
IterNodes
done5000
23133
1534
0192

prune575.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

localize43.0ms

Local error

Found 4 expressions with local error:

3.3b
(- (* x x) (* (* 4.0 y) y))
30.1b
(/ (- (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y)))
30.1b
(/ (- (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y)))
30.1b
(/ (- (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×times-frac
10×add-cbrt-cube add-exp-log
9×associate-/r* associate-/l*
6×associate-/r/ add-log-exp associate-/l/
4×pow1 flip3-- flip--
3×cbrt-undiv clear-num frac-2neg flip3-+ div-sub div-exp flip-+ div-inv
1×sub-neg diff-log
Counts
4 → 108
Calls
4 calls:
6.0ms
(- (* x x) (* (* 4.0 y) y))
21.0ms
(/ (- (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y)))
29.0ms
(/ (- (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y)))
21.0ms
(/ (- (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y)))

series297.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (* x x) (* (* 4.0 y) y))
67.0ms
(/ (- (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y)))
80.0ms
(/ (- (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y)))
100.0ms
(/ (- (* x x) (* (* 4.0 y) y)) (+ (* x x) (* (* 4.0 y) y)))

simplify655.0ms

Counts
120 → 120
Iterations
IterNodes
done5002
21303
1237
082

prune982.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.4b

regimes295.0ms

Accuracy

60.4% (12.4b remaining)

Error of 12.8b against oracle of 0.4b and baseline of 31.7b

bsearch167.0ms

Steps
ItersRangePoint
9
3.0455316621450604e+53
6.601528886642014e+60
2.371593609881423e+60
9
2.598286552721665e-80
1.1482561294715716e-71
9.959621465941043e-80
5
-1.1135581929510197e-64
-2.986264416976082e-65
-3.379561403631359e-65
6
-1.2608308818293039e+154
-1.5171851739610474e+153
-2.0417989825890665e+153

simplify5.0ms

Iterations
IterNodes
done27
127
023

end0.0ms

sample883.0ms

Algorithm
intervals
Results
594.0ms8000×body80valid