Details

Time bar (total: 4.7s)

sample27.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify173.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
11719
23519
36719
411119
515819
617319
717419
done17419

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
3.6b
(- (* x x) (* (* y 4.0) y))
29.8b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-log-exp
add-exp-log add-cbrt-cube
pow1 associate-/r* associate-/l*
flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 55
Calls
3 calls:
8.0ms
(+ (* x x) (* (* y 4.0) y))
8.0ms
(- (* x x) (* (* y 4.0) y))
28.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series145.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (* x x) (* (* y 4.0) y))
42.0ms
(- (* x x) (* (* y 4.0) y))
66.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify1.9s

Counts
64 → 64
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0871404
12331375
27691233
328911226
done50011210

prune150.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
0.0b
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
21.4b
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
22.5b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
12×add-sqr-sqrt
10×*-un-lft-identity
add-cube-cbrt associate-/r/ add-log-exp
times-frac
associate-/r*
cbrt-undiv flip3-+ div-exp flip-+
pow1 prod-exp cbrt-unprod div-inv
distribute-rgt-out--
frac-2neg clear-num associate-/l* difference-of-squares
+-commutative sub-neg flip3-- diff-log sum-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
4 → 79
Calls
4 calls:
8.0ms
(+ (* x x) (* (* y 4.0) y))
73.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
17.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
29.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (* x x) (* (* y 4.0) y))
76.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
58.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
60.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify1.0s

Counts
91 → 91
Iterations

Useful iterations: 2 (233.0ms)

IterNodesCost
01422132
13832013
213971747
done50001747

prune180.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune1.0ms

Pruning

3 alts after pruning (1 fresh and 2 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

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.4b

regimes101.0ms

Accuracy

60.3% (12.2b remaining)

Error of 12.7b against oracle of 0.4b and baseline of 31.3b

bsearch113.0ms

Steps
ItersRangePoint
7
2396706146367806.5
3.79592842151896e+17
3.714271113375256e+17
9
1.6505618597988674e-122
8.436521620000359e-114
3.339425016971986e-120
7
-6.985295606104708e-99
-2.2027464827852263e-100
-1.6708062197430544e-99
9
-2.3499377934639055e+159
-2.508529027316973e+152
-7.928259414816123e+152

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02578
13078
done3078

end0.0ms

sample382.0ms

Algorithm
intervals
Results
214.0ms8000×body80valid