Details

Time bar (total: 5.1s)

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify195.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0919
11918
23918
37718
412818
518418
621118
721618
done21618

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize9.0ms

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)))

rewrite49.0ms

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 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
cbrt-undiv +-commutative sub-neg fma-def frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num sum-log div-inv
Counts
3 → 64
Calls
3 calls:
9.0ms
(+ (* x x) (* (* y 4.0) y))
9.0ms
(- (* x x) (* (* y 4.0) y))
30.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series162.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ (* x x) (* (* y 4.0) y))
46.0ms
(- (* x x) (* (* y 4.0) y))
72.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify1.8s

Counts
73 → 73
Iterations

Useful iterations: 3 (816.0ms)

IterNodesCost
0981510
12541408
29391266
337621259
done50001259

prune207.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
49×prod-diff
42×add-sqr-sqrt
40×*-un-lft-identity
38×add-cube-cbrt
19×div-inv
18×add-exp-log add-cbrt-cube
fma-neg
associate-/r* add-log-exp
cbrt-undiv div-exp
pow1 expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
frac-2neg clear-num associate-/l* difference-of-squares
sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- fma-udef distribute-lft-out-- sub-div
Counts
4 → 134
Calls
4 calls:
0.0ms
(fma x x (* (* y 4.0) y))
25.0ms
(- (/ (* x x) (fma x x (* (* y 4.0) y))) (/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y))))
10.0ms
(/ (* x x) (fma x x (* (* y 4.0) y)))
20.0ms
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))

series264.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(fma x x (* (* y 4.0) y))
96.0ms
(- (/ (* x x) (fma x x (* (* y 4.0) y))) (/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y))))
59.0ms
(/ (* x x) (fma x x (* (* y 4.0) y)))
61.0ms
(/ (* (* y 4.0) y) (fma x x (* (* y 4.0) y)))

simplify1.3s

Counts
146 → 146
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02107157
15145979
217594829
done50004097

prune303.0ms

Pruning

3 alts after pruning (2 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

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

regimes85.0ms

Accuracy

60.3% (12.2b remaining)

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

bsearch129.0ms

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
02473
12873
done2873

end0.0ms

sample406.0ms

Algorithm
intervals
Results
230.0ms8000×body80valid