Details

Time bar (total: 9.0s)

sample40.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify206.0ms

Counts
1 → 1
Iterations
IterNodes
done186
7186
6177
5152
4109
367
238
119
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
4.5b
(- (* x x) (* (* y 4.0) y))
30.3b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
7×add-log-exp
5×add-cbrt-cube add-exp-log
3×expm1-log1p-u pow1 associate-/r* log1p-expm1-u associate-/l*
2×flip3-+ flip3-- associate-/r/ flip-+ flip-- associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log sub-neg fma-def frac-2neg fma-neg diff-log div-sub div-exp prod-diff div-inv
Counts
3 → 64
Calls
3 calls:
12.0ms
(+ (* x x) (* (* y 4.0) y))
12.0ms
(- (* x x) (* (* y 4.0) y))
41.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series216.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(+ (* x x) (* (* y 4.0) y))
58.0ms
(- (* x x) (* (* y 4.0) y))
98.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify2.1s

Counts
73 → 73
Iterations
IterNodes
done5000
21079
1271
098

prune434.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune11.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize21.0ms

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))))
23.0b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
24.2b
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
81×prod-diff
64×times-frac
50×add-sqr-sqrt
48×*-un-lft-identity
46×associate-/r/ add-cube-cbrt
24×flip3-+ flip-+
23×div-inv
18×add-cbrt-cube add-exp-log
9×fma-neg
8×add-log-exp
6×associate-/r*
5×cbrt-undiv div-exp
4×expm1-log1p-u pow1 prod-exp cbrt-unprod log1p-expm1-u
3×distribute-rgt-out--
2×clear-num frac-2neg associate-/l* difference-of-squares
1×+-commutative sum-log sub-neg fma-def flip3-- diff-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
4 → 178
Calls
4 calls:
14.0ms
(+ (* x x) (* (* y 4.0) y))
83.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
32.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
24.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

series367.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(+ (* x x) (* (* y 4.0) y))
109.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
86.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
93.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify2.5s

Counts
190 → 190
Iterations
IterNodes
done5001
22693
1756
0266

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.3b

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

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.3b

regimes340.0ms

Accuracy

58.4% (12.9b remaining)

Error of 13.3b against oracle of 0.4b and baseline of 31.4b

bsearch300.0ms

Steps
ItersRangePoint
8
4.0851340448526894e+278
4.032799637274857e+282
5.6317960521962586e+278
9
3.5566022728585293e-12
0.0011823009177766679
5.880877246270695e-09
11
2.141142444373286e-117
1.583440219444916e-95
2.3542361087629974e-102
9
5.21658433001167e-205
2.525509707705057e-198
2.4742170052004425e-201

simplify5.0ms

Iterations
IterNodes
done29
129
024

end0.0ms

sample906.0ms

Algorithm
intervals
Results
587.0ms8000×body80valid