Details

sample20.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	13
2	13
1	12
0	7

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 84

Calls

2 calls:

13.0ms	(/ x (+ x 1))
49.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

series112.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ x (+ x 1))
88.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

simplify1.0s

Counts

90 → 90

Iterations

Iter	Nodes
3	2584
2	823
1	266
0	108

prune629.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite768.0ms

Algorithm

rewrite-expression-head

Rules

19891×	`times-frac`
13832×	`add-sqr-sqrt`
12003×	`*-un-lft-identity`
5663×	`add-cube-cbrt`
4076×	`difference-of-squares`
2043×	`distribute-lft-out--`
2035×	`difference-of-sqr-1`
928×	`associate-/r/`
486×	`prod-diff`
480×	`div-inv`
419×	`flip3--` `flip--`
221×	`associate-/r*`
104×	`distribute-lft-out`
90×	`add-exp-log`
64×	`div-exp`
42×	`add-cbrt-cube`
34×	`associate-/l*`
32×	`flip3-+` `flip-+`
24×	`swap-sqr`
22×	`pow1` `cbrt-undiv`
18×	`fma-neg` `associate-r` `associate-l`
10×	`rec-exp` `1-exp` `pow-div`
6×	`add-log-exp`
5×	`pow-flip` `inv-pow`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`associate-/l/`
2×	`clear-num` `frac-2neg`
1×	`pow2` `frac-times` `sub-neg` `pow-plus` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `frac-sub`

Counts

4 → 6375

Calls

4 calls:

77.0ms	(- (/ x (+ x 1)) (/ 1 (- x 1)))
57.0ms	(* (/ x (+ x 1)) (/ x (+ x 1)))
50.0ms	(/ (/ 1 (- x 1)) (/ (- x 1) (/ 1 (- x 1))))
34.0ms	(/ (- x 1) (/ 1 (- x 1)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (/ x (+ x 1)) (/ 1 (- x 1)))
49.0ms	(* (/ x (+ x 1)) (/ x (+ x 1)))
36.0ms	(/ (/ 1 (- x 1)) (/ (- x 1) (/ 1 (- x 1))))
20.0ms	(/ (- x 1) (/ 1 (- x 1)))

simplify2.7m

Counts

6387 → 6387

Iterations

Iter	Nodes
1	17975
0	5000

prune56.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

2415×	`*-un-lft-identity`
2294×	`times-frac`
2044×	`add-sqr-sqrt`
1458×	`prod-diff`
1321×	`add-cube-cbrt`
488×	`distribute-rgt-in` `distribute-lft-in`
348×	`difference-of-squares`
287×	`associate-/r/`
271×	`distribute-lft-out`
184×	`distribute-lft-out--`
168×	`difference-of-sqr-1`
146×	`div-inv`
87×	`flip3-+` `flip-+`
60×	`add-exp-log`
59×	`flip3--` `flip--`
42×	`add-cbrt-cube`
36×	`associate-l`
33×	`associate-r`
27×	`div-exp` `associate-/l*`
24×	`swap-sqr`
18×	`fma-neg`
16×	`cbrt-undiv`
14×	`prod-exp`
13×	`pow1`
10×	`cbrt-unprod`
6×	`add-log-exp` `unswap-sqr`
5×	`associate-*r/`
4×	`expm1-log1p-u` `frac-times` `insert-posit16` `log1p-expm1-u`
3×	`rec-exp` `sub-neg` `1-exp` `frac-sub`
2×	`pow-prod-down` `associate-l/` `-commutative`
1×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `pow-plus` `diff-log` `pow-sqr` `pow-prod-up` `associate-/l/`

Counts

4 → 1745

Calls

4 calls:

121.0ms	(* (/ x (+ x 1)) (- (/ x (+ x 1)) (/ 1 (- x 1))))
43.0ms	(- (/ x (+ x 1)) (/ 1 (- x 1)))
29.0ms	(* (/ x (+ x 1)) (/ x (+ x 1)))
21.0ms	(/ (/ 1 (- x 1)) (* (fma x x -1) (/ (- x 1) (+ x 1))))

series201.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (/ x (+ x 1)) (- (/ x (+ x 1)) (/ 1 (- x 1))))
47.0ms	(- (/ x (+ x 1)) (/ 1 (- x 1)))
25.0ms	(* (/ x (+ x 1)) (/ x (+ x 1)))
58.0ms	(/ (/ 1 (- x 1)) (* (fma x x -1) (/ (- x 1) (+ x 1))))

simplify3.5s

Counts

1757 → 1757

Iterations

Iter	Nodes
1	4704
0	1442

prune21.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	16
1	16
0	14

end0.0ms

sample597.0ms

Algorithm

intervals

Results

496.0ms

8000×

body

valid