Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	254×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid

simplify31.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune5.0ms

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))

rewrite39.0ms

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-exp-log` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

37.0ms

(* 200.0 (- x y))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* 200.0 (- x y))

simplify526.0ms

Counts

49 → 49

Iterations

Useful iterations: done (525.0ms)

Iter	Nodes	Cost
0	102	721
1	235	554
2	833	440
done	5001	414

prune96.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 200.0 x) (* 200.0 (- y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `fma-def` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

9.0ms

(+ (* 200.0 x) (* 200.0 (- y)))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(+ (* 200.0 x) (* 200.0 (- y)))

simplify2.7s

Counts

20 → 20

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	33	206
1	113	146
2	459	133
3	2459	129
done	5001	128

prune83.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite112.0ms

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-exp-log` `add-cbrt-cube`
7×	`sqrt-prod`
6×	`sub-neg` `associate-r/` `associate-r*`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 119

Calls

2 calls:

31.0ms	(* (sqrt 200.0) (- x y))
70.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

series209.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(* (sqrt 200.0) (- x y))
128.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

simplify1.9s

Counts

125 → 125

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	186	2575
1	535	2061
2	3391	1293
done	5000	1201

prune192.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (sqrt 200.0)) (* (- y) (sqrt 200.0)))
0.2b	(* (- y) (sqrt 200.0))
0.3b	(* x (sqrt 200.0))
0.3b	(* (sqrt 200.0) (+ (* x (sqrt 200.0)) (* (- y) (sqrt 200.0))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
19×	`associate-l`
16×	`associate-r`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`sqrt-prod`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
2×	`distribute-rgt-out` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `neg-mul-1` `fma-def` `distribute-lft-in` `unsub-neg` `sum-log`

Counts

4 → 102

Calls

4 calls:

18.0ms	(+ (* x (sqrt 200.0)) (* (- y) (sqrt 200.0)))
26.0ms	(* (- y) (sqrt 200.0))
18.0ms	(* x (sqrt 200.0))
51.0ms	(* (sqrt 200.0) (+ (* x (sqrt 200.0)) (* (- y) (sqrt 200.0))))

series308.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ (* x (sqrt 200.0)) (* (- y) (sqrt 200.0)))
51.0ms	(* (- y) (sqrt 200.0))
41.0ms	(* x (sqrt 200.0))
136.0ms	(* (sqrt 200.0) (+ (* x (sqrt 200.0)) (* (- y) (sqrt 200.0))))

simplify1.5s

Counts

114 → 114

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	131	1201
1	374	970
2	2053	814
done	5001	759

prune393.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes190.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	16	8
3	17	8
done	17	8

end0.0ms

sample880.0ms

Algorithm

intervals

Results

231.0ms	7912×	body	80	valid
6.0ms	54×	body	1280	valid
4.0ms	27×	body	2560	valid
4.0ms	40×	body	640	valid
2.0ms	25×	body	320	valid
1.0ms	10×	body	160	valid