Details

Time bar (total: 8.2s)

sample19.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify173.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
4.5b
(- (* x x) (* (* y 4.0) y))
29.6b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-log-exp
add-cbrt-cube add-exp-log
expm1-log1p-u pow1 associate-/r* log1p-expm1-u associate-/l*
flip3-+ flip3-- associate-/r/ flip-+ flip-- associate-/l/
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:
10.0ms
(+ (* x x) (* (* y 4.0) y))
7.0ms
(- (* x x) (* (* y 4.0) y))
27.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series263.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(+ (* x x) (* (* y 4.0) y))
67.0ms
(- (* x x) (* (* y 4.0) y))
125.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify2.2s

Counts
73 → 73
Iterations
IterNodes
done5000
21079
1271
098

prune445.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
0.0b
(+ (* x x) (* (* y 4.0) y))
4.5b
(- (* x x) (* (* y 4.0) y))
29.6b
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

rewrite109.0ms

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/
div-exp add-log-exp
flip3-- div-inv flip-- associate-/l*
pow1
expm1-log1p-u cbrt-undiv log1p-expm1-u
rec-exp clear-num frac-2neg flip3-+ 1-exp flip-+ associate-/l/
+-commutative sum-log sub-neg fma-def fma-neg diff-log prod-diff pow-flip inv-pow
Counts
4 → 149
Calls
4 calls:
24.0ms
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
10.0ms
(+ (* x x) (* (* y 4.0) y))
8.0ms
(- (* x x) (* (* y 4.0) y))
57.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

series350.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))
70.0ms
(+ (* x x) (* (* y 4.0) y))
75.0ms
(- (* x x) (* (* y 4.0) y))
113.0ms
(/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))

simplify2.3s

Counts
161 → 161
Iterations
IterNodes
done5001
21696
1528
0205

prune910.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

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

prune4.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

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

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.5b

regimes274.0ms

Accuracy

59.5% (12.8b remaining)

Error of 13.2b against oracle of 0.4b and baseline of 31.9b

bsearch276.0ms

Steps
ItersRangePoint
7
8.185331977377506e+116
1.870327126393593e+119
1.7216615225191455e+119
6
1.356505130396889e+55
1.124103638118133e+56
1.385619300047896e+55
10
8.487725639577344e+19
2.2866486562520042e+35
2.245089248299778e+35
5
4.043788424751638e-88
1.4193948875982793e-87
4.2562076670661187e-88
10
-4.899699220095224e-116
-1.2170946535384058e-129
-1.3254874554693039e-118
7
-1.3357891543325074e+46
-6.484404876657715e+43
-1.301374440507405e+46

simplify13.0ms

Iterations
IterNodes
done35
135
030

end0.0ms

sample765.0ms

Algorithm
intervals
Results
562.0ms8000×body80valid