Details

Time bar (total: 9.9s)

sample46.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
7.0ms256×pre80true

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
12215
24815
310215
420515
538715
683115
7362215
done500015

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
17.4b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
7×add-exp-log add-cbrt-cube
5×flip3-+ flip-+
4×add-sqr-sqrt frac-times add-cube-cbrt *-un-lft-identity add-log-exp
3×flip3-- times-frac associate-/r* flip--
2×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/r/
1×+-commutative frac-2neg prod-exp clear-num sum-log cbrt-unprod div-inv associate-/l*
Counts
2 → 42
Calls
2 calls:
13.0ms
(+ (* x x) (* y y))
28.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series136.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ (* x x) (* y y))
92.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify1.7s

Counts
48 → 48
Iterations

Useful iterations: 2 (616.0ms)

IterNodesCost
091826
1346802
22658666
done5000666

prune134.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.2b
(* (/ (- x y) (+ (* x x) (* y y))) (+ y x))
17.1b
(/ (- x y) (+ (* x x) (* y y)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*l*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 flip3-+ flip-+ associate-/l* add-log-exp
4×associate-*r* associate-/r/
3×associate-/r*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative distribute-rgt-in flip3-- frac-2neg distribute-lft-in div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-- distribute-lft-out
Counts
3 → 98
Calls
3 calls:
15.0ms
(+ (* x x) (* y y))
74.0ms
(* (/ (- x y) (+ (* x x) (* y y))) (+ y x))
41.0ms
(/ (- x y) (+ (* x x) (* y y)))

series186.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ (* x x) (* y y))
74.0ms
(* (/ (- x y) (+ (* x x) (* y y))) (+ y x))
62.0ms
(/ (- x y) (+ (* x x) (* y y)))

simplify2.3s

Counts
107 → 107
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01541874
15821841
237451667
done50011663

prune293.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

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

prune1.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

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

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes115.0ms

Accuracy

74.3% (5.0b remaining)

Error of 5.5b against oracle of 0.5b and baseline of 20.0b

bsearch114.0ms

Steps
ItersRangePoint
8
1.1749208203646455e-162
2.668632125326887e-159
4.121579147791192e-161
8
-3.774674447315793e-159
-1.171049963881541e-162
-1.5035170453340098e-159
10
-1.7357752133283529e+161
-3.6751597733328413e+146
-2.279730354411318e+153

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02044
12830
done2830

end0.0ms

sample1.2s

Algorithm
intervals
Results
557.0ms8000×body80valid
288.0ms8000×pre80true