Details

Time bar (total: 10.5s)

sample36.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
8.0ms256×pre80true

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
82884
71046
6573
5339
4177
395
246
122
09

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
18.2b
(/ (* x x) (+ (* x x) (* y y)))
26.2b
(/ (* y y) (+ (* x x) (* y y)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
10×*-un-lft-identity times-frac
8×associate-/r/ add-cube-cbrt add-log-exp
6×associate-/r*
5×flip3-+ flip-+
4×pow1 cbrt-undiv div-exp insert-posit16 div-inv difference-of-squares
3×distribute-rgt-out--
2×clear-num frac-2neg prod-exp cbrt-unprod associate-/l*
1×+-commutative sum-log sub-neg flip3-- diff-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
4 → 83
Calls
4 calls:
8.0ms
(+ (* x x) (* y y))
62.0ms
(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
23.0ms
(/ (* x x) (+ (* x x) (* y y)))
28.0ms
(/ (* y y) (+ (* x x) (* y y)))

series303.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(+ (* x x) (* y y))
105.0ms
(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
82.0ms
(/ (* x x) (+ (* x x) (* y y)))
65.0ms
(/ (* y y) (+ (* x x) (* y y)))

simplify1.3s

Counts
95 → 95
Iterations
IterNodes
33588
21127
1372
0132

prune676.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
18.2b
(/ (* x x) (+ (* x x) (* y y)))
20.3b
(sqrt (+ (* x x) (* y y)))
20.3b
(sqrt (+ (* x x) (* y y)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt
99×times-frac
64×*-un-lft-identity add-cube-cbrt
54×sqrt-prod
30×swap-sqr
24×associate-*r* associate-*l*
21×add-cbrt-cube add-exp-log
13×pow1
12×sqrt-div
10×associate-/r/
9×unswap-sqr
7×flip3-+ flip-+
6×cbrt-undiv div-exp
5×prod-exp cbrt-unprod div-inv
4×insert-posit16 add-log-exp
3×associate-/r*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×pow2 frac-times clear-num frac-2neg pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up associate-/l*
Counts
4 → 168
Calls
4 calls:
54.0ms
(* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
21.0ms
(/ (* x x) (+ (* x x) (* y y)))
6.0ms
(sqrt (+ (* x x) (* y y)))
7.0ms
(sqrt (+ (* x x) (* y y)))

series245.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
56.0ms
(/ (* x x) (+ (* x x) (* y y)))
65.0ms
(sqrt (+ (* x x) (* y y)))
52.0ms
(sqrt (+ (* x x) (* y y)))

simplify806.0ms

Counts
180 → 180
Iterations
IterNodes
22101
1687
0210

prune1.8s

Pruning

3 alts after pruning (2 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
IterNodes
10
00

prune4.0ms

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
10
00

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.3b

regimes78.0ms

Accuracy

74.9% (4.9b remaining)

Error of 5.4b against oracle of 0.4b and baseline of 20.0b

bsearch192.0ms

Steps
ItersRangePoint
9
2.9046081416140135e-163
3.0230335271447774e-156
3.455947184275326e-157
6
-3.879349676624596e-159
-2.6682979144053964e-160
-2.721956094789157e-159
10
-4.011009871887439e+158
-1.0895875309198726e+143
-1.347493887093548e+154

simplify8.0ms

Iterations
IterNodes
225
125
021

end0.0ms

sample1.5s

Algorithm
intervals
Results
938.0ms8000×body80valid
328.0ms8000×pre80true