Details

Time bar (total: 9.7s)

sample36.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify329.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09243
117243
234243
359243
4100243
5143243
6168243
7177243
done177243

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.1b

localize13.0ms

Local error

Found 2 expressions with local error:

5.4b
(- (* x x) (* (* y 4.0) y))
33.5b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-cbrt-cube add-exp-log add-log-exp
associate-/r* associate-/l*
pow1 flip3-- associate-/r/ flip-- associate-/l/
cbrt-undiv clear-num sub-neg frac-2neg flip3-+ diff-log div-sub div-exp flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
12.0ms
(- (* x x) (* (* y 4.0) y))
22.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(- (* x x) (* (* y 4.0) y))
70.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify3.9s

Counts
50 → 50
Iterations

Useful iterations: 2 (200.0ms)

IterNodesCost
08218250
122916282
279616202
3382316202
done500716202

prune287.0ms

Pruning

4 alts after pruning (4 fresh and 0 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

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune10.0ms

Pruning

4 alts after pruning (3 fresh and 1 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

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune8.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
25.6b
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
26.3b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
17×add-cbrt-cube add-exp-log
11×add-sqr-sqrt
*-un-lft-identity
associate-/r/
times-frac add-cube-cbrt
associate-/r*
cbrt-undiv div-exp add-log-exp
flip3-+ prod-exp cbrt-unprod flip-+ div-inv
pow1 distribute-rgt-out--
clear-num frac-2neg associate-/l* difference-of-squares
sub-neg flip3-- diff-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
3 → 68
Calls
3 calls:
83.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
14.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
39.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series281.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
65.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
107.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify2.9s

Counts
77 → 77
Iterations

Useful iterations: 2 (973.0ms)

IterNodesCost
013024493
140522525
2160921845
done500021845

prune351.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.3b

regimes236.0ms

Accuracy

62.1% (11.8b remaining)

Error of 12.2b against oracle of 0.3b and baseline of 31.6b

bsearch178.0ms

Steps
ItersRangePoint
8
1.4637618742339268e+92
4.7879780628392144e+95
2.7796176895685473e+95
11
5.62462484188271e-45
9.692839344198065e-24
6.492432921720209e-45
7
-8.247655021093694e-136
-4.448615185749863e-138
-5.319605867827501e-138
7
-3.070866551752463e+124
-1.2045350215923762e+123
-8.785978400076085e+123

simplify27.0ms

Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
028969
135969
done35969

end0.0ms

sample848.0ms

Algorithm
intervals
Results
620.0ms8000×body80valid