Details

sample39.0ms

Algorithm

intervals

Results

13.0ms	53×	body	1280	valid
8.0ms	42×	body	640	valid
7.0ms	130×	body	80	valid
3.0ms	20×	body	320	valid
1.0ms	11×	body	160	valid

simplify150.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	168
15	168
14	165
13	136
12	114
11	99
10	89
9	69
8	53
7	42
6	32
5	26
4	23
3	22
2	19
1	15
0	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 1) (- x 1))
0.0b	(/ x (+ x 1))
2.7b	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

1418×	`*-un-lft-identity`
984×	`times-frac`
933×	`add-sqr-sqrt`
612×	`prod-diff`
573×	`add-cube-cbrt`
277×	`distribute-lft-out`
178×	`difference-of-squares`
160×	`frac-sub`
145×	`associate-/r*`
110×	`associate-/r/`
100×	`distribute-lft-out--`
95×	`associate-/l*`
87×	`difference-of-sqr-1`
55×	`div-inv`
47×	`flip3-+` `flip-+`
28×	`clear-num` `frac-2neg`
22×	`associate-/l/`
20×	`flip3--` `flip--`
18×	`fma-neg`
7×	`add-cbrt-cube` `add-exp-log`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp`
1×	`sub-neg` `diff-log`

Counts

3 → 912

Calls

3 calls:

28.0ms	(/ (+ x 1) (- x 1))
16.0ms	(/ x (+ x 1))
164.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (+ x 1) (- x 1))
30.0ms	(/ x (+ x 1))
84.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

simplify2.1s

Counts

921 → 921

Iterations

Iter	Nodes
done	5000
1	2875
0	925

prune2.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ x 1) x) (+ x 1))
0.0b	(/ (- (* 1 (- x 1)) (* (/ (+ x 1) x) (+ x 1))) (* (/ (+ x 1) x) (- x 1)))
0.0b	(* (/ (+ x 1) x) (- x 1))
2.4b	(- (* 1 (- x 1)) (* (/ (+ x 1) x) (+ x 1)))

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

1989×	`add-sqr-sqrt`
1457×	`*-un-lft-identity`
1130×	`times-frac`
852×	`associate-l`
563×	`add-cube-cbrt`
516×	`unswap-sqr`
495×	`prod-diff`
408×	`associate-r`
384×	`difference-of-squares`
240×	`distribute-lft-out--`
168×	`frac-times`
166×	`associate-*r/`
153×	`distribute-lft-out`
152×	`frac-sub`
120×	`associate-/l/`
104×	`flip3--` `flip--`
102×	`associate-/l*`
93×	`associate-/r*`
86×	`flip3-+` `flip-+`
84×	`associate-*l/`
66×	`*-commutative`
48×	`difference-of-sqr-1`
39×	`div-inv`
38×	`associate-/r/`
28×	`distribute-rgt-in` `distribute-lft-in`
23×	`add-cbrt-cube` `add-exp-log`
22×	`clear-num` `frac-2neg` `associate--l+`
17×	`fma-neg`
8×	`pow1` `associate--r+`
6×	`cbrt-undiv` `+-commutative` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`sub-neg` `div-sub`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`pow-prod-down`
1×	`diff-log`

Counts

4 → 1517

Calls

4 calls:

64.0ms	(* (/ (+ x 1) x) (+ x 1))
971.0ms	(/ (- (* 1 (- x 1)) (* (/ (+ x 1) x) (+ x 1))) (* (/ (+ x 1) x) (- x 1)))
92.0ms	(* (/ (+ x 1) x) (- x 1))
685.0ms	(- (* 1 (- x 1)) (* (/ (+ x 1) x) (+ x 1)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (/ (+ x 1) x) (+ x 1))
72.0ms	(/ (- (* 1 (- x 1)) (* (/ (+ x 1) x) (+ x 1))) (* (/ (+ x 1) x) (- x 1)))
142.0ms	(* (/ (+ x 1) x) (- x 1))
24.0ms	(- (* 1 (- x 1)) (* (/ (+ x 1) x) (+ x 1)))

simplify2.4s

Counts

1529 → 1529

Iterations

Iter	Nodes
done	5000
0	1702

prune5.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 1) x)
0.0b	(/ (- (+ (/ 1 x) 3)) (* (/ (+ x 1) x) (- x 1)))
0.0b	(* (/ (+ x 1) x) (- x 1))

rewrite376.0ms

Algorithm

rewrite-expression-head

Rules

640×	`times-frac`
638×	`*-un-lft-identity`
432×	`add-sqr-sqrt`
288×	`add-cube-cbrt`
256×	`associate-l`
182×	`distribute-lft-out`
155×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
112×	`associate-r`
80×	`div-inv`
51×	`associate-/r*`
48×	`frac-times`
42×	`associate-/l*`
38×	`associate-/r/`
32×	`difference-of-squares` `unswap-sqr`
31×	`neg-mul-1`
26×	`flip3--` `flip--`
24×	`associate-*l/`
19×	`add-cbrt-cube` `add-exp-log`
18×	`prod-diff`
16×	`difference-of-sqr-1` `*-commutative` `distribute-lft-out--` `associate-/l/`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`clear-num` `frac-2neg` `flip3-+` `flip-+`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`prod-exp` `associate-*r/` `cbrt-unprod`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `distribute-neg-frac`
1×	`neg-sub0` `div-sub` `pow-prod-down` `distribute-frac-neg`

Counts

3 → 662

Calls

3 calls:

22.0ms	(/ (+ x 1) x)
232.0ms	(/ (- (+ (/ 1 x) 3)) (* (/ (+ x 1) x) (- x 1)))
87.0ms	(* (/ (+ x 1) x) (- x 1))

series301.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ (+ x 1) x)
94.0ms	(/ (- (+ (/ 1 x) 3)) (* (/ (+ x 1) x) (- x 1)))
142.0ms	(* (/ (+ x 1) x) (- x 1))

simplify2.3s

Counts

671 → 671

Iterations

Iter	Nodes
done	5001
1	2436
0	702

prune1.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- (+ (/ 1 x) 3)) (- x (/ 1 x)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

157×	`*-un-lft-identity`
148×	`add-sqr-sqrt`
142×	`times-frac`
45×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `difference-of-squares`
43×	`add-cube-cbrt`
36×	`distribute-lft-out`
34×	`div-inv`
30×	`distribute-lft-out--`
14×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `distribute-neg-frac` `associate-/l/`
1×	`neg-sub0` `expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `distribute-frac-neg` `flip-+` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`

Counts

1 → 155

Calls

1 calls:

134.0ms

(/ (- (+ (/ 1 x) 3)) (- x (/ 1 x)))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(/ (- (+ (/ 1 x) 3)) (- x (/ 1 x)))

simplify2.3s

Counts

158 → 158

Iterations

Iter	Nodes
done	5000
3	2879
2	1009
1	445
0	194

prune405.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	21
2	21
1	17
0	8

end0.0ms

sample2.5s

Algorithm

intervals

Results

858.0ms	4189×	body	80	valid
804.0ms	1648×	body	1280	valid
467.0ms	1207×	body	640	valid
162.0ms	624×	body	320	valid
55.0ms	332×	body	160	valid