Details

sample36.0ms

Algorithm

intervals

Results

26.0ms

256×

body

valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	15
2	15
1	14
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

87×	`*-un-lft-identity`
63×	`add-sqr-sqrt`
62×	`times-frac`
35×	`add-cube-cbrt`
27×	`fma-def`
14×	`difference-of-squares`
12×	`distribute-lft-out`
11×	`associate-/r*`
9×	`add-exp-log` `distribute-lft-out--`
7×	`add-cbrt-cube` `difference-of-sqr-1`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `div-inv`
3×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `flip-+` `flip--`
1×	`+-commutative` `rec-exp` `sum-log` `1-exp` `frac-add` `pow-flip` `inv-pow`

Counts

3 → 136

Calls

3 calls:

40.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
8.0ms	(/ x (+ x 1))
11.0ms	(/ 1 (- x 1))

series123.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
25.0ms	(/ x (+ x 1))
23.0ms	(/ 1 (- x 1))

simplify1.4s

Counts

145 → 145

Iterations

Iter	Nodes
3	2969
2	1015
1	384
0	176

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1))
0.0b	(* (/ x (+ x 1)) (/ x (+ x 1)))
0.0b	(- (/ 1 (- x 1)) (/ x (+ x 1)))
0.1b	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

1002×	`*-un-lft-identity`
934×	`times-frac`
867×	`add-sqr-sqrt`
526×	`add-cube-cbrt`
486×	`prod-diff`
150×	`difference-of-squares`
110×	`associate-/r/`
105×	`distribute-lft-out`
83×	`distribute-lft-out--`
75×	`difference-of-sqr-1`
65×	`swap-sqr`
58×	`add-exp-log` `div-inv`
45×	`associate-r` `associate-l`
32×	`flip3-+` `flip-+`
30×	`add-cbrt-cube`
27×	`fma-neg`
26×	`pow1`
24×	`flip3--` `flip--`
21×	`div-exp`
20×	`prod-exp`
13×	`unswap-sqr`
9×	`cbrt-undiv`
8×	`rec-exp` `1-exp` `cbrt-unprod` `pow-flip` `inv-pow`
6×	`pow-prod-up` `add-log-exp`
4×	`expm1-log1p-u` `associate-/r*` `pow-prod-down` `pow-sqr` `insert-posit16` `log1p-expm1-u`
3×	`associate-/l*`
2×	`pow2` `frac-times` `pow-plus` `associate-l/` `associate-r/` `*-commutative`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `un-div-inv` `frac-sub`

Counts

4 → 820

Calls

4 calls:

13.0ms	(/ x (+ x 1))
55.0ms	(* (/ x (+ x 1)) (/ x (+ x 1)))
93.0ms	(- (/ 1 (- x 1)) (/ x (+ x 1)))
56.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

series180.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ x (+ x 1))
33.0ms	(* (/ x (+ x 1)) (/ x (+ x 1)))
72.0ms	(- (/ 1 (- x 1)) (/ x (+ x 1)))
34.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

simplify3.0s

Counts

832 → 832

Iterations

Iter	Nodes
2	4605
1	1997
0	734

prune8.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- x 1))
0.0b	(* (/ x (+ x 1)) (/ x (+ x 1)))
0.0b	(* (* (/ x (+ x 1)) (/ x (+ x 1))) (/ x (+ x 1)))
17.3b	(cbrt (* (* (/ x (+ x 1)) (/ x (+ x 1))) (/ x (+ x 1))))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

120×	`*-un-lft-identity`
98×	`times-frac`
91×	`add-sqr-sqrt`
61×	`add-exp-log`
60×	`add-cube-cbrt`
59×	`add-cbrt-cube`
36×	`associate-r`
31×	`pow1`
24×	`swap-sqr`
22×	`prod-exp` `cbrt-unprod`
21×	`distribute-lft-out`
19×	`div-exp` `associate-l`
18×	`cbrt-undiv`
12×	`associate-/r/`
11×	`frac-times` `associate-*l/`
8×	`difference-of-squares`
7×	`cbrt-div` `associate-/r` `pow-plus` `associate-r/` `pow-prod-up`
6×	`div-inv` `unswap-sqr`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `difference-of-sqr-1` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`pow2` `pow-sqr` `associate-/l*`
2×	`pow3` `*-commutative`
1×	`cbrt-prod` `rec-exp` `clear-num` `frac-2neg` `flip3--` `pow1/3` `1-exp` `rem-cbrt-cube` `pow-flip` `flip--` `inv-pow`

Counts

4 → 233

Calls

4 calls:

14.0ms	(/ 1 (- x 1))
35.0ms	(* (/ x (+ x 1)) (/ x (+ x 1)))
107.0ms	(* (* (/ x (+ x 1)) (/ x (+ x 1))) (/ x (+ x 1)))
56.0ms	(cbrt (* (* (/ x (+ x 1)) (/ x (+ x 1))) (/ x (+ x 1))))

series189.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (- x 1))
49.0ms	(* (/ x (+ x 1)) (/ x (+ x 1)))
69.0ms	(* (* (/ x (+ x 1)) (/ x (+ x 1))) (/ x (+ x 1)))
47.0ms	(cbrt (* (* (/ x (+ x 1)) (/ x (+ x 1))) (/ x (+ x 1))))

simplify1.1s

Counts

245 → 245

Iterations

Iter	Nodes
2	2474
1	860
0	300

prune2.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ x (+ x 1)) (/ x (+ x 1)))
0.0b	(- (/ 1 (- x 1)) (/ x (+ x 1)))
0.0b	(* (- x 1) (- x 1))
0.6b	(/ 1 (* (- x 1) (- x 1)))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

903×	`*-un-lft-identity`
805×	`times-frac`
762×	`add-sqr-sqrt`
504×	`prod-diff`
483×	`add-cube-cbrt`
130×	`difference-of-squares`
108×	`associate-/r/`
101×	`distribute-lft-out`
71×	`distribute-lft-out--`
63×	`difference-of-sqr-1`
52×	`div-inv`
35×	`swap-sqr`
32×	`flip3--` `flip--`
31×	`flip3-+` `flip-+`
29×	`add-exp-log`
27×	`fma-neg`
26×	`pow1`
25×	`associate-r` `associate-l`
23×	`add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`frac-times`
8×	`div-exp` `prod-exp`
6×	`cbrt-undiv` `cbrt-unprod` `pow-flip` `add-log-exp`
5×	`associate-l/` `associate-r/` `unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`pow2` `sub-neg` `pow-plus` `pow-prod-down` `pow-sqr` `pow-prod-up` `associate-/l*`
2×	`rec-exp` `1-exp` `*-commutative`
1×	`clear-num` `associate-/r*` `frac-2neg` `diff-log` `frac-sub` `inv-pow`

Counts

4 → 749

Calls

4 calls:

48.0ms	(* (/ x (+ x 1)) (/ x (+ x 1)))
78.0ms	(- (/ 1 (- x 1)) (/ x (+ x 1)))
43.0ms	(* (- x 1) (- x 1))
33.0ms	(/ 1 (* (- x 1) (- x 1)))

series142.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (/ x (+ x 1)) (/ x (+ x 1)))
67.0ms	(- (/ 1 (- x 1)) (/ x (+ x 1)))
13.0ms	(* (- x 1) (- x 1))
23.0ms	(/ 1 (* (- x 1) (- x 1)))

simplify2.4s

Counts

761 → 761

Iterations

Iter	Nodes
2	4565
1	1829
0	722

prune8.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	15
1	15
0	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

8000×

body

valid