Details

sample25.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3699
6	840
5	403
4	208
3	103
2	48
1	22
0	9

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.7b

localize27.0ms

Local error

Found 1 expressions with local error:

20.8b

(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
6×	`add-cbrt-cube` `add-exp-log`
4×	`frac-times` `flip3-+` `flip-+`
3×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `flip3--` `add-cube-cbrt` `flip--`
2×	`cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `associate-/r/`
1×	`pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

48.0ms

(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series132.0ms

Counts

1 → 3

Calls

1 calls:

132.0ms

(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify1.2s

Counts

34 → 34

Iterations

Iter	Nodes
done	5002
2	1903
1	280
0	79

prune185.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ y x) (/ (+ (* x x) (* y y)) (- x y)))
0.0b	(cbrt (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3))
0.0b	(pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3)
20.3b	(/ (+ (* x x) (* y y)) (- x y))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

750×	`times-frac`
661×	`*-un-lft-identity`
449×	`add-sqr-sqrt`
315×	`add-cube-cbrt`
184×	`cbrt-prod`
178×	`unpow-prod-down` `cube-prod`
106×	`distribute-lft-out`
67×	`distribute-lft-out--` `difference-of-squares`
49×	`associate-/r/`
27×	`div-inv`
26×	`associate-/r*`
22×	`flip3--` `flip--`
17×	`add-cbrt-cube` `add-exp-log`
7×	`cbrt-undiv` `div-exp` `associate-/l*`
5×	`pow1`
4×	`add-log-exp` `associate-/l/`
3×	`pow-unpow` `pow-exp` `rem-cube-cbrt`
2×	`cube-div` `cube-mult` `clear-num` `frac-2neg` `flip3-+` `unpow3` `flip-+` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `pow1/3` `rem-cbrt-cube`

Counts

4 → 559

Calls

4 calls:

44.0ms	(/ (+ y x) (/ (+ (* x x) (* y y)) (- x y)))
50.0ms	(cbrt (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3))
34.0ms	(pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3)
29.0ms	(/ (+ (* x x) (* y y)) (- x y))

series460.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(/ (+ y x) (/ (+ (* x x) (* y y)) (- x y)))
110.0ms	(cbrt (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3))
104.0ms	(pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3)
95.0ms	(/ (+ (* x x) (* y y)) (- x y))

simplify992.0ms

Counts

571 → 571

Iterations

Iter	Nodes
done	5000
1	1995
0	487

prune1.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.6b

localize38.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (+ (* x x) (* y y)))
22.2b	(* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
18×	`times-frac`
17×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`frac-times` `add-cbrt-cube`
15×	`associate-l`
12×	`prod-exp` `associate-*r/`
8×	`distribute-rgt-in` `pow1` `distribute-lft-in` `flip3-+` `flip-+`
6×	`flip3--` `div-exp` `cbrt-unprod` `flip--`
5×	`associate-*l/`
4×	`sub-neg` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `associate-/r` `1-exp` `pow-prod-down` `associate-/l`
2×	`div-inv` `add-log-exp`
1×	`clear-num` `frac-2neg` `associate-r` `*-commutative` `pow-flip` `inv-pow`

Counts

2 → 96

Calls

2 calls:

11.0ms	(/ 1 (+ (* x x) (* y y)))
83.0ms	(* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y)))

series122.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ 1 (+ (* x x) (* y y)))
79.0ms	(* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y)))

simplify491.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
1	589
0	171

prune369.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.6b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.6b

regimes250.0ms

Accuracy

76.6% (4.6b remaining)

Error of 5.1b against oracle of 0.5b and baseline of 20.0b

bsearch103.0ms

Steps

Iters	Range	Point
6	7.770101291265989e-165	5.668413601158115e-164	5.591292396420954e-164
5	-2.6235253916143137e-159	-7.713673533084189e-160	-2.1622183546377771e-159
10	-5.432306800712251e+159	-5.6292565617441764e+144	-5.923851932889087e+146

Iters

Range

Point

7.770101291265989e-165

5.668413601158115e-164

5.591292396420954e-164

-2.6235253916143137e-159

-7.713673533084189e-160

-2.1622183546377771e-159

-5.432306800712251e+159

-5.6292565617441764e+144

-5.923851932889087e+146

simplify6.0ms

Iterations

Iter	Nodes
done	31
2	31
1	30
0	25

end0.0ms

sample1.4s

Algorithm

intervals

Results

675.0ms	8000×	pre	80	true
484.0ms	8000×	body	80	valid