Details

Time bar (total: 12.2s)

sample73.0ms

Algorithm
intervals
Results
43.0ms256×body80valid
13.0ms256×pre80true

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5002
71519
6575
5339
4177
395
246
122
09

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.8b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(- (* y y) (* x x))
17.6b
(/ (- (* y y) (* x x)) (+ (* x x) (* y y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
7×add-log-exp
5×add-cbrt-cube add-exp-log difference-of-squares
4×associate-/l*
3×pow1 associate-/r* insert-posit16
2×flip3-+ flip3-- associate-/r/ flip-+ flip-- associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
3 → 63
Calls
3 calls:
7.0ms
(+ (* x x) (* y y))
7.0ms
(- (* y y) (* x x))
21.0ms
(/ (- (* y y) (* x x)) (+ (* x x) (* y y)))

series154.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(+ (* x x) (* y y))
36.0ms
(- (* y y) (* x x))
70.0ms
(/ (- (* y y) (* x x)) (+ (* x x) (* y y)))

simplify3.0s

Counts
72 → 72
Iterations
IterNodes
done5002
34824
2951
1288
0101

prune252.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(- (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))))
14.7b
(/ (* x x) (+ (* x x) (* y y)))
23.8b
(/ (* y y) (+ (* x x) (* y y)))

rewrite496.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
10×*-un-lft-identity times-frac
8×associate-/r/ add-cube-cbrt add-log-exp
6×associate-/r*
5×flip3-+ flip-+
4×pow1 cbrt-undiv div-exp insert-posit16 div-inv difference-of-squares
3×distribute-rgt-out--
2×clear-num frac-2neg prod-exp cbrt-unprod associate-/l*
1×+-commutative sum-log sub-neg flip3-- diff-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
4 → 83
Calls
4 calls:
11.0ms
(+ (* x x) (* y y))
431.0ms
(- (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))))
27.0ms
(/ (* x x) (+ (* x x) (* y y)))
25.0ms
(/ (* y y) (+ (* x x) (* y y)))

series242.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (* x x) (* y y))
82.0ms
(- (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))))
50.0ms
(/ (* x x) (+ (* x x) (* y y)))
71.0ms
(/ (* y y) (+ (* x x) (* y y)))

simplify1.5s

Counts
95 → 95
Iterations
IterNodes
done5001
21830
1435
0133

prune317.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* y y) (+ (* x x) (* y y))) (/ 1 (/ (+ (* x x) (* y y)) (* x x))))
0.6b
(/ 1 (/ (+ (* x x) (* y y)) (* x x)))
14.4b
(/ (+ (* x x) (* y y)) (* x x))
23.8b
(/ (* y y) (+ (* x x) (* y y)))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
56×times-frac
48×add-sqr-sqrt
35×add-exp-log
31×*-un-lft-identity
24×add-cube-cbrt
23×add-cbrt-cube
16×div-exp
11×associate-/r*
10×difference-of-squares
9×cbrt-undiv
8×div-inv
7×associate-/l*
6×add-log-exp
5×pow1 prod-exp
4×insert-posit16
3×rec-exp clear-num frac-2neg 1-exp associate-/r/ cbrt-unprod
2×flip3-+ flip-+ distribute-lft-out-- associate-/l/
1×sub-neg flip3-- diff-log frac-sub pow-flip flip-- inv-pow
Counts
4 → 131
Calls
4 calls:
96.0ms
(- (/ (* y y) (+ (* x x) (* y y))) (/ 1 (/ (+ (* x x) (* y y)) (* x x))))
30.0ms
(/ 1 (/ (+ (* x x) (* y y)) (* x x)))
49.0ms
(/ (+ (* x x) (* y y)) (* x x))
34.0ms
(/ (* y y) (+ (* x x) (* y y)))

series302.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(- (/ (* y y) (+ (* x x) (* y y))) (/ 1 (/ (+ (* x x) (* y y)) (* x x))))
62.0ms
(/ 1 (/ (+ (* x x) (* y y)) (* x x)))
80.0ms
(/ (+ (* x x) (* y y)) (* x x))
68.0ms
(/ (* y y) (+ (* x x) (* y y)))

simplify1.4s

Counts
143 → 143
Iterations
IterNodes
done5002
22547
1610
0206

prune408.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune0.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

regimes72.0ms

Accuracy

75.2% (4.7b remaining)

Error of 5.2b against oracle of 0.5b and baseline of 19.5b

bsearch161.0ms

Steps
ItersRangePoint
9
8.224021888767988e-168
6.368480921027092e-162
1.8050510261731553e-162
10
-1.3799571515971478e-154
-1.8563905140027056e-164
-3.564256890674104e-158
7
-6.914140684613533e+154
-5.409346264960912e+152
-1.367949010508958e+154

simplify12.0ms

Iterations
IterNodes
done29
129
023

end0.0ms

sample1.3s

Algorithm
intervals
Results
835.0ms8000×body80valid
299.0ms8000×pre80true