Details

sample26.0ms

Algorithm

intervals

Results

10.0ms

482×

body

valid

simplify82.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	103
7	103
6	97
5	88
4	72
3	53
2	25
1	11
0	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ x y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-l/` `associate-r/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

32.0ms

(* (+ x y) (+ x y))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(* (+ x y) (+ x y))

simplify2.2s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
3	3938
2	793
1	224
0	62

prune99.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(+ (+ (* x x) (* y y)) (+ (* x y) (* x y)))
0.0b	(+ (* x y) (* x y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
7×	`flip3-+` `flip-+`
5×	`*-un-lft-identity`
4×	`frac-add`
3×	`add-sqr-sqrt` `pow1` `+-commutative` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
2×	`distribute-lft-out`
1×	`associate-+l+` `associate-+r+` `distribute-rgt-out` `count-2`

Counts

3 → 46

Calls

3 calls:

6.0ms	(+ (* x x) (* y y))
35.0ms	(+ (+ (* x x) (* y y)) (+ (* x y) (* x y)))
6.0ms	(+ (* x y) (* x y))

series82.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (* x x) (* y y))
28.0ms	(+ (+ (* x x) (* y y)) (+ (* x y) (* x y)))
25.0ms	(+ (* x y) (* x y))

simplify1.3s

Counts

55 → 55

Iterations

Iter	Nodes
done	5008
2	1271
1	294
0	90

prune194.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (* y y))
0.2b	(* (+ (* y (* y y)) (* (* x x) x)) (+ y x))
0.5b	(+ (* y (* y y)) (* (* x x) x))
28.8b	(/ (* (+ (* y (* y y)) (* (* x x) x)) (+ y x)) (+ (* x x) (- (* y y) (* x y))))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
14×	`flip3-+` `flip-+`
12×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt`
8×	`frac-times` `associate-/l/`
7×	`associate-l`
6×	`add-log-exp`
5×	`associate-r` `prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`pow-prod-down` `associate-l/` `associate-r/`
3×	`associate-/r*` `times-frac` `cube-unmult`
2×	`cbrt-undiv` `div-exp` `pow3` `associate-/r/` `sum-cubes` `*-commutative` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `+-commutative` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `pow-plus` `pow-sqr` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 97

Calls

4 calls:

15.0ms	(* y (* y y))
90.0ms	(* (+ (* y (* y y)) (* (* x x) x)) (+ y x))
27.0ms	(+ (* y (* y y)) (* (* x x) x))
66.0ms	(/ (* (+ (* y (* y y)) (* (* x x) x)) (+ y x)) (+ (* x x) (- (* y y) (* x y))))

series256.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* y (* y y))
74.0ms	(* (+ (* y (* y y)) (* (* x x) x)) (+ y x))
71.0ms	(+ (* y (* y y)) (* (* x x) x))
67.0ms	(/ (* (+ (* y (* y y)) (* (* x x) x)) (+ y x)) (+ (* x x) (- (* y y) (* x y))))

simplify2.0s

Counts

109 → 109

Iterations

Iter	Nodes
done	5005
2	2395
1	558
0	169

prune451.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (- (* y y) (* x y)) (- (* y y) (* x y)))
0.5b	(+ (* y (* y y)) (* (* x x) x))
2.3b	(- (* (* x x) (* x x)) (* (- (* y y) (* x y)) (- (* y y) (* x y))))
29.8b	(/ (* (+ (* y (* y y)) (* (* x x) x)) (+ y x)) (- (* (* x x) (* x x)) (* (- (* y y) (* x y)) (- (* y y) (* x y)))))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`frac-times` `flip3--` `flip--` `add-log-exp` `associate-/l/`
7×	`flip3-+` `flip-+`
5×	`sub-neg`
4×	`distribute-rgt-in` `associate-/r` `distribute-lft-in` `times-frac` `distribute-rgt-out--` `swap-sqr` `associate-r` `associate-l` `associate-l/` `associate-*r/` `associate--r+`
3×	`difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`pow2` `+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-plus` `diff-log` `cube-unmult` `pow3` `pow-prod-down` `pow-sqr` `sum-cubes` `-commutative` `pow-prod-up` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

46.0ms	(* (- (* y y) (* x y)) (- (* y y) (* x y)))
22.0ms	(+ (* y (* y y)) (* (* x x) x))
28.0ms	(- (* (* x x) (* x x)) (* (- (* y y) (* x y)) (- (* y y) (* x y))))
123.0ms	(/ (* (+ (* y (* y y)) (* (* x x) x)) (+ y x)) (- (* (* x x) (* x x)) (* (- (* y y) (* x y)) (- (* y y) (* x y)))))

series357.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- (* y y) (* x y)) (- (* y y) (* x y)))
63.0ms	(+ (* y (* y y)) (* (* x x) x))
101.0ms	(- (* (* x x) (* x x)) (* (- (* y y) (* x y)) (- (* y y) (* x y))))
147.0ms	(/ (* (+ (* y (* y y)) (* (* x x) x)) (+ y x)) (- (* (* x x) (* x x)) (* (- (* y y) (* x y)) (- (* y y) (* x y)))))

simplify2.2s

Counts

114 → 114

Iterations

Iter	Nodes
done	5031
2	3152
1	627
0	187

prune647.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample928.0ms

Algorithm

intervals

Results

484.0ms

14233×

body

valid