Details

sample23.0ms

Algorithm

intervals

Results

8.0ms	252×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify29.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	32
5	32
4	30
3	23
2	15
1	8
0	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 200.0 (- x y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

21.0ms

(* 200.0 (- x y))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* 200.0 (- x y))

simplify698.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	836
1	235
0	102

prune158.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (cbrt 200.0) (- x y))
0.4b	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
41×	`add-cube-cbrt`
16×	`pow1` `add-exp-log`
9×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`sub-neg` `associate-r` `associate-*r/`
4×	`cbrt-prod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 120

Calls

2 calls:

20.0ms	(* (cbrt 200.0) (- x y))
61.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

series184.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(* (cbrt 200.0) (- x y))
107.0ms	(* (* (cbrt 200.0) (cbrt 200.0)) (* (cbrt 200.0) (- x y)))

simplify2.9s

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
2	4076
1	639
0	192

prune328.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (sqrt 200.0) (- x y))
0.3b	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
43×	`add-cube-cbrt`
12×	`associate-l`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`sqrt-prod`
6×	`sub-neg` `associate-r` `associate-*r/`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 119

Calls

2 calls:

44.0ms	(* (sqrt 200.0) (- x y))
45.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

series237.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(* (sqrt 200.0) (- x y))
144.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

simplify2.2s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	3384
1	535
0	186

prune291.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

1.6b	(+ (* x x) (+ (* y y) (* x y)))
2.9b	(+ (* y y) (* x y))
4.2b	(- (* (* x x) x) (* y (* y y)))
38.6b	(/ (* 200.0 (- (* (* x x) x) (* y (* y y)))) (+ (* x x) (+ (* y y) (* x y))))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
9×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `sum-log` `log1p-expm1-u`
3×	`associate-/r*` `flip3-+` `times-frac` `flip-+`
2×	`cbrt-undiv` `+-commutative` `fma-def` `flip3--` `div-exp` `associate-*r/` `associate-/r/` `flip--` `associate-/l/`
1×	`difference-cubes` `associate-+r+` `clear-num` `sub-neg` `frac-2neg` `distribute-rgt-out` `fma-neg` `diff-log` `cube-unmult` `prod-diff` `pow3` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 75

Calls

4 calls:

15.0ms	(+ (* x x) (+ (* y y) (* x y)))
6.0ms	(+ (* y y) (* x y))
24.0ms	(- (* (* x x) x) (* y (* y y)))
86.0ms	(/ (* 200.0 (- (* (* x x) x) (* y (* y y)))) (+ (* x x) (+ (* y y) (* x y))))

series263.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (* x x) (+ (* y y) (* x y)))
45.0ms	(+ (* y y) (* x y))
71.0ms	(- (* (* x x) x) (* y (* y y)))
124.0ms	(/ (* 200.0 (- (* (* x x) x) (* y (* y y)))) (+ (* x x) (+ (* y y) (* x y))))

simplify2.2s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	3435
1	492
0	140

prune396.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes187.0ms

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	6
1	6
0	5

end0.0ms

sample454.0ms

Algorithm

intervals

Results

228.0ms	7929×	body	80	valid
6.0ms	54×	body	1280	valid
3.0ms	33×	body	640	valid
2.0ms	18×	body	2560	valid
1.0ms	23×	body	320	valid
0.0ms	10×	body	160	valid