Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	251×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	2560	valid
0.0ms	1×	body	640	valid

simplify24.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 200.0 (- x y))

rewrite60.0ms

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:

56.0ms

(* 200.0 (- x y))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* 200.0 (- x y))

simplify665.0ms

Counts

49 → 49

Iterations

Useful iterations: done (663.0ms)

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

prune91.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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:

8.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify2.9s

Counts

20 → 20

Iterations

Useful iterations: done (2.9s)

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

prune41.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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)))

rewrite104.0ms

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:

29.0ms	(* (sqrt 200.0) (- x y))
69.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

series192.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(* (sqrt 200.0) (- x y))
103.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

simplify2.3s

Counts

125 → 125

Iterations

Useful iterations: done (2.3s)

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

prune165.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite356.0ms

Algorithm

rewrite-expression-head

Rules

187×	`distribute-rgt-in` `distribute-lft-in`
126×	`prod-diff`
100×	`add-sqr-sqrt`
96×	`*-un-lft-identity`
94×	`add-cube-cbrt`
19×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
14×	`sub-neg`
12×	`associate-*r/`
11×	`sqrt-prod`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-r`
3×	`cbrt-prod` `expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

3 → 236

Calls

3 calls:

44.0ms	(* (sqrt 200.0) (- x y))
93.0ms	(* (sqrt (cbrt 200.0)) (* (sqrt 200.0) (- x y)))
188.0ms	(* (sqrt (* (cbrt 200.0) (cbrt 200.0))) (* (sqrt (cbrt 200.0)) (* (sqrt 200.0) (- x y))))

series499.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(* (sqrt 200.0) (- x y))
185.0ms	(* (sqrt (cbrt 200.0)) (* (sqrt 200.0) (- x y)))
233.0ms	(* (sqrt (* (cbrt 200.0) (cbrt 200.0))) (* (sqrt (cbrt 200.0)) (* (sqrt 200.0) (- x y))))

simplify3.0s

Counts

245 → 245

Iterations

Useful iterations: 2 (804.0ms)

Iter	Nodes	Cost
0	339	7574
1	903	5751
2	4261	4935
done	5001	4935

prune379.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

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

sample923.0ms

Algorithm

intervals

Results

243.0ms	7884×	body	80	valid
8.0ms	67×	body	1280	valid
4.0ms	31×	body	2560	valid
4.0ms	46×	body	640	valid
1.0ms	18×	body	320	valid
0.0ms	9×	body	160	valid