Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify16.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	11
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1` `insert-posit16`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`+-commutative` `sum-log` `flip3--` `frac-add` `flip--`

Counts

3 → 90

Calls

3 calls:

15.0ms	(/ x (+ x 1.0))
14.0ms	(/ 1.0 (- x 1.0))
120.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series331.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ x (+ x 1.0))
60.0ms	(/ 1.0 (- x 1.0))
200.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify6.7s

Counts

99 → 99

Iterations

Iter	Nodes
done	5005
3	4559
2	1296
1	414
0	172

prune850.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize176.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ x (+ x 1.0)) (* (/ x (+ x 1.0)) (/ x (+ x 1.0))))
0.1b	(* (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))) (/ 1.0 (- x 1.0)))
0.1b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
0.1b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

rewrite579.0ms

Algorithm

rewrite-expression-head

Rules

197×	`*-un-lft-identity`
185×	`add-sqr-sqrt`
181×	`times-frac`
110×	`add-cbrt-cube` `add-exp-log`
101×	`add-cube-cbrt`
64×	`associate-r`
61×	`associate-l`
54×	`swap-sqr`
51×	`pow1`
44×	`prod-exp` `cbrt-unprod`
39×	`distribute-lft-out--`
34×	`cbrt-undiv` `div-exp`
27×	`difference-of-squares`
20×	`associate-/r/`
13×	`pow-prod-up`
12×	`frac-times` `unswap-sqr`
10×	`associate-l/` `associate-r/` `div-inv`
9×	`pow-plus` `flip3--` `flip--`
8×	`pow-prod-down`
5×	`pow2` `pow-sqr`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`distribute-lft-out`
1×	`flip3-+` `cube-unmult` `pow3` `flip-+`

Counts

4 → 331

Calls

4 calls:

114.0ms	(* (/ x (+ x 1.0)) (* (/ x (+ x 1.0)) (/ x (+ x 1.0))))
184.0ms	(* (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))) (/ 1.0 (- x 1.0)))
146.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
78.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (/ x (+ x 1.0)) (* (/ x (+ x 1.0)) (/ x (+ x 1.0))))
86.0ms	(* (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))) (/ 1.0 (- x 1.0)))
58.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
86.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify7.3s

Counts

343 → 343

Iterations

Iter	Nodes
done	5009
2	4381
1	1093
0	335

prune2.6s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize176.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ x (+ x 1.0)) (* (/ x (+ x 1.0)) (/ x (+ x 1.0))))
0.1b	(/ (* (/ 1.0 (- x 1.0)) 1.0) (- x 1.0))
0.1b	(* (/ (* (/ 1.0 (- x 1.0)) 1.0) (- x 1.0)) (/ 1.0 (- x 1.0)))
0.1b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

rewrite484.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
121×	`add-sqr-sqrt`
115×	`times-frac`
98×	`add-cbrt-cube` `add-exp-log`
65×	`add-cube-cbrt`
50×	`associate-l`
43×	`associate-r`
36×	`prod-exp` `cbrt-unprod`
33×	`cbrt-undiv` `div-exp`
27×	`pow1` `swap-sqr`
24×	`distribute-lft-out--`
18×	`difference-of-squares`
16×	`associate-/r/`
8×	`div-inv` `unswap-sqr`
7×	`frac-times` `flip3--` `associate-*r/` `flip--`
6×	`associate-*l/` `pow-prod-up`
5×	`associate-/r*` `pow-prod-down`
4×	`insert-posit16` `add-log-exp`
3×	`*-commutative` `distribute-lft-out`
2×	`pow2` `pow-plus` `pow-sqr`
1×	`clear-num` `frac-2neg` `flip3-+` `cube-unmult` `flip-+` `associate-/l*` `associate-/l/`

Counts

4 → 256

Calls

4 calls:

146.0ms	(* (/ x (+ x 1.0)) (* (/ x (+ x 1.0)) (/ x (+ x 1.0))))
30.0ms	(/ (* (/ 1.0 (- x 1.0)) 1.0) (- x 1.0))
163.0ms	(* (/ (* (/ 1.0 (- x 1.0)) 1.0) (- x 1.0)) (/ 1.0 (- x 1.0)))
115.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series348.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (/ x (+ x 1.0)) (* (/ x (+ x 1.0)) (/ x (+ x 1.0))))
85.0ms	(/ (* (/ 1.0 (- x 1.0)) 1.0) (- x 1.0))
83.0ms	(* (/ (* (/ 1.0 (- x 1.0)) 1.0) (- x 1.0)) (/ 1.0 (- x 1.0)))
72.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify3.0s

Counts

268 → 268

Iterations

Iter	Nodes
done	5001
1	1238
0	368

prune2.0s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify8.0ms

Iterations

Iter	Nodes
done	24
1	24
0	17

end0.0ms

sample514.0ms

Algorithm

intervals

Results

343.0ms

8000×

body

valid