Details

sample187.0ms

Algorithm

intervals

Results

24.0ms

369×

body

valid

simplify44.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	33
4	33
3	26
2	16
1	9
0	6

prune676.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`add-sqr-sqrt`
1×	`pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--` `difference-of-squares`

Counts

1 → 13

Calls

1 calls:

17.0ms

(- (* x x) y)

series59.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(- (* x x) y)

simplify1.4s

Counts

16 → 16

Iterations

Iter	Nodes
done	5002
3	1610
2	309
1	87
0	32

prune95.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* x x) y))
0.0b	(- (* x x) y)
0.0b	(- (* x x) y)
0.1b	(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`sqrt-prod`
20×	`pow1`
14×	`sqrt-div`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-pow1` `flip3--` `pow1/2` `swap-sqr` `flip--`
8×	`add-log-exp`
7×	`associate-r` `associate-l` `difference-of-squares`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`sub-neg` `diff-log` `associate-l/` `associate-r/`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

8.0ms	(sqrt (- (* x x) y))
6.0ms	(- (* x x) y)
12.0ms	(- (* x x) y)
72.0ms	(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(sqrt (- (* x x) y))
29.0ms	(- (* x x) y)
41.0ms	(- (* x x) y)
31.0ms	(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

simplify1.2s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	1020
1	258
0	112

prune461.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y)))
2.0b	(- (* (* (* x x) (* x x)) (* x x)) (* y (* y y)))
4.6b	(* (* x x) y)
38.4b	(/ (- (* (* (* x x) (* x x)) (* x x)) (* y (* y y))) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))))

rewrite805.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
11×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
9×	`pow1`
5×	`difference-cubes` `cube-unmult` `pow3`
4×	`associate-/l*`
3×	`associate-/r` `sum-log` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r+` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `associate-l` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

62.0ms	(+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y)))
208.0ms	(- (* (* (* x x) (* x x)) (* x x)) (* y (* y y)))
17.0ms	(* (* x x) y)
513.0ms	(/ (- (* (* (* x x) (* x x)) (* x x)) (* y (* y y))) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))))

series283.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y)))
75.0ms	(- (* (* (* x x) (* x x)) (* x x)) (* y (* y y)))
33.0ms	(* (* x x) y)
110.0ms	(/ (- (* (* (* x x) (* x x)) (* x x)) (* y (* y y))) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))))

simplify4.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	4024
1	462
0	146

prune468.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* 1/2 (/ y x)))
0.0b	(sqrt (- (* x x) y))
0.0b	(- (* x x) y)
0.1b	(* (sqrt (- (* x x) y)) (- x (* 1/2 (/ y x))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
9×	`flip3--` `sqrt-prod` `flip--`
8×	`*-un-lft-identity` `sqrt-div` `add-cube-cbrt` `add-log-exp`
7×	`pow1` `associate-l`
6×	`add-cbrt-cube` `add-exp-log`
4×	`frac-times` `sub-neg`
3×	`associate-r` `difference-of-squares`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-l/` `associate-r/` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 76

Calls

4 calls:

4.0ms	(- x (* 1/2 (/ y x)))
8.0ms	(sqrt (- (* x x) y))
6.0ms	(- (* x x) y)
45.0ms	(* (sqrt (- (* x x) y)) (- x (* 1/2 (/ y x))))

series305.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- x (* 1/2 (/ y x)))
91.0ms	(sqrt (- (* x x) y))
40.0ms	(- (* x x) y)
126.0ms	(* (sqrt (- (* x x) y)) (- x (* 1/2 (/ y x))))

simplify1.3s

Counts

88 → 88

Iterations

Iter	Nodes
done	5002
2	1713
1	360
0	135

prune395.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes298.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample780.0ms

Algorithm

intervals

Results

498.0ms	10713×	body	80	valid
0.0ms	1×	body	640	valid