Details

Time bar (total: 12.3s)

sample19.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify182.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09243
119243
238243
367243
4109243
5152243
6177243
7186243
done186243

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.1b

localize15.0ms

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)))

rewrite30.0ms

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*
expm1-log1p-u pow1 flip3-- associate-/r/ log1p-expm1-u flip-- associate-/l/
cbrt-undiv clear-num sub-neg frac-2neg flip3-+ fma-neg diff-log div-sub div-exp prod-diff flip-+ div-inv
Counts
2 → 50
Calls
2 calls:
7.0ms
(- (* x x) (* (* y 4.0) y))
22.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series147.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(- (* x x) (* (* y 4.0) y))
80.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify4.5s

Counts
56 → 56
Iterations

Useful iterations: 3 (2.4s)

IterNodesCost
09119859
124717731
294317546
3455817481
done500017481

prune301.0ms

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

prune11.0ms

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

prune9.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize20.0ms

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)))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
81×prod-diff
64×times-frac
49×add-sqr-sqrt
47×*-un-lft-identity
46×associate-/r/
45×add-cube-cbrt
23×flip3-+ flip-+ div-inv
17×add-cbrt-cube add-exp-log
fma-neg
associate-/r*
cbrt-undiv div-exp add-log-exp
prod-exp cbrt-unprod
expm1-log1p-u pow1 distribute-rgt-out-- log1p-expm1-u
clear-num frac-2neg associate-/l* difference-of-squares
sub-neg flip3-- diff-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
3 → 164
Calls
3 calls:
143.0ms
(- (/ (* 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)))
30.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series250.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
71.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
85.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify3.8s

Counts
173 → 173
Iterations

Useful iterations: done (3.7s)

IterNodesCost
0255118232
1722100855
2252090881
done507390741

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.3b

regimes306.0ms

Accuracy

62.1% (11.8b remaining)

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

bsearch236.0ms

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

simplify9.0ms

Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
028969
135969
done35969

end0.0ms

sample1.1s

Algorithm
intervals
Results
946.0ms8000×body80valid