Details

Time bar (total: 3.9s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify116.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0919
11719
23519
37019
411819
516619
618619
718719
done18719

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
2.6b
(- (* x x) (* (* y 4.0) y))
32.0b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite18.0ms

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 associate-/r* associate-/l*
flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 55
Calls
3 calls:
3.0ms
(+ (* x x) (* (* y 4.0) y))
3.0ms
(- (* x x) (* (* y 4.0) y))
11.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series139.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* x x) (* (* y 4.0) y))
43.0ms
(- (* x x) (* (* y 4.0) y))
61.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify1.6s

Counts
64 → 64
Iterations

Useful iterations: 3 (459.0ms)

IterNodesCost
0871404
12321375
27921233
335071226
done50011226

prune168.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune7.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune6.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

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))))
22.6b
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
24.3b
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
12×add-sqr-sqrt
10×*-un-lft-identity
add-cube-cbrt associate-/r/ add-log-exp
times-frac
associate-/r*
cbrt-undiv flip3-+ div-exp flip-+
pow1 prod-exp cbrt-unprod div-inv
distribute-rgt-out--
frac-2neg clear-num associate-/l* difference-of-squares
+-commutative sub-neg flip3-- diff-log sum-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
4 → 79
Calls
4 calls:
3.0ms
(+ (* x x) (* (* y 4.0) y))
36.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
11.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
7.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

series217.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* x x) (* (* y 4.0) y))
74.0ms
(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
56.0ms
(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
50.0ms
(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify531.0ms

Counts
91 → 91
Iterations

Useful iterations: 2 (152.0ms)

IterNodesCost
01422132
13862013
215391747
done50001747

prune201.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes121.0ms

Accuracy

62.8% (11.8b remaining)

Error of 12.2b against oracle of 0.4b and baseline of 32.1b

bsearch118.0ms

Steps
ItersRangePoint
7
4.7789019538112153e+104
1.591151741636895e+106
2.70835173311075e+105
6
2.542334140773719e-97
3.55820370252485e-96
3.3095785565051797e-97
9
-1.4109009987990789e-130
-4.102798577199621e-136
-7.055703835942177e-134
8
-5.294872751913314e+157
-4.107841816162241e+153
-1.1020932357029451e+154

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02581
13081
done3081

end0.0ms

sample542.0ms

Algorithm
intervals
Results
412.0ms8000×body80valid