Details

sample30.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	14
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

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:

13.0ms	(/ x (+ x 1))
12.0ms	(/ 1 (- x 1))
45.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

series133.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ x (+ x 1))
27.0ms	(/ 1 (- x 1))
74.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))

simplify1.4s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
2	1356
1	401
0	176

prune401.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ x (+ x 1)) (/ x (+ x 1)))
0.1b	(* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1)))
0.2b	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
0.2b	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

351×	`add-sqr-sqrt`
345×	`add-exp-log`
343×	`*-un-lft-identity`
327×	`times-frac`
168×	`prod-exp`
155×	`add-cube-cbrt`
134×	`div-exp`
106×	`swap-sqr`
99×	`associate-r`
81×	`pow1` `add-cbrt-cube`
73×	`associate-l`
66×	`difference-of-squares`
65×	`rec-exp` `1-exp`
39×	`difference-of-sqr-1` `distribute-lft-out--`
37×	`pow-prod-up` `pow-flip` `inv-pow`
30×	`cbrt-unprod`
26×	`associate-/r/`
25×	`cbrt-undiv` `unswap-sqr`
18×	`distribute-lft-out`
17×	`div-inv`
14×	`pow-prod-down`
13×	`pow-sqr`
9×	`frac-times` `pow-plus` `flip3--` `associate-*l/` `flip--`
6×	`associate-*r/`
5×	`pow2` `un-div-inv`
4×	`expm1-log1p-u` `flip3-+` `*-commutative` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow3`

Counts

4 → 550

Calls

4 calls:

49.0ms	(* (/ x (+ x 1)) (/ x (+ x 1)))
78.0ms	(* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1)))
52.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
60.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (/ x (+ x 1)) (/ x (+ x 1)))
35.0ms	(* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1)))
36.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
28.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))

simplify2.2s

Counts

562 → 562

Iterations

Iter	Nodes
done	5001
2	3641
1	1396
0	460

prune2.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ x 1) (/ 1 (- x 1)))
0.1b	(* (* (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- x 1)))) (/ 1 (- x 1)))
0.2b	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
0.2b	(/ 1 (- (* x x) (* 1 1)))

rewrite394.0ms

Algorithm

rewrite-expression-head

Rules

426×	`add-exp-log`
248×	`prod-exp`
203×	`add-sqr-sqrt`
177×	`*-un-lft-identity`
176×	`times-frac`
134×	`div-exp`
88×	`add-cbrt-cube` `add-cube-cbrt`
81×	`associate-r`
67×	`rec-exp` `1-exp`
46×	`difference-of-squares`
41×	`swap-sqr`
40×	`cbrt-unprod`
36×	`frac-times`
32×	`associate-l`
31×	`pow1`
26×	`associate-*l/`
24×	`difference-of-sqr-1` `distribute-lft-out--`
23×	`cbrt-undiv`
19×	`associate-*r/`
14×	`associate-/r/`
12×	`unswap-sqr`
10×	`flip3-+` `pow-prod-down` `flip-+`
9×	`div-inv` `pow-flip` `inv-pow`
7×	`flip3--` `un-div-inv` `flip--`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `associate-/r*` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr` `-commutative` `associate-/l`
1×	`pow2` `clear-num` `frac-2neg` `pow-plus` `distribute-lft-out`

Counts

4 → 418

Calls

4 calls:

55.0ms	(* (+ x 1) (/ 1 (- x 1)))
255.0ms	(* (* (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- x 1)))) (/ 1 (- x 1)))
40.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
25.0ms	(/ 1 (- (* x x) (* 1 1)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (+ x 1) (/ 1 (- x 1)))
46.0ms	(* (* (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- x 1)))) (/ 1 (- x 1)))
19.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
56.0ms	(/ 1 (- (* x x) (* 1 1)))

simplify3.1s

Counts

430 → 430

Iterations

Iter	Nodes
done	5000
2	4238
1	1672
0	539

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (/ x (+ x 1)) (/ x (+ x 1))) (* (/ x (+ x 1)) (/ x (+ x 1))))
0.2b	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
0.2b	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
8.7b	(cbrt (* (* (* (/ x (+ x 1)) (/ x (+ x 1))) (* (/ x (+ x 1)) (/ x (+ x 1)))) (* (/ x (+ x 1)) (/ x (+ x 1)))))

rewrite645.0ms

Algorithm

rewrite-expression-head

Rules

276×	`add-sqr-sqrt`
244×	`*-un-lft-identity`
240×	`times-frac`
214×	`add-exp-log`
158×	`add-cbrt-cube`
148×	`frac-times`
145×	`pow1`
108×	`add-cube-cbrt`
97×	`prod-exp`
88×	`associate-*l/`
83×	`swap-sqr`
76×	`associate-*r/`
73×	`cbrt-unprod`
72×	`div-exp`
63×	`cbrt-div`
60×	`difference-of-squares`
55×	`associate-r` `associate-l`
48×	`cbrt-undiv`
46×	`pow-prod-up`
36×	`difference-of-sqr-1` `distribute-lft-out--`
29×	`pow-prod-down`
28×	`pow-sqr`
20×	`pow-plus`
19×	`unswap-sqr`
16×	`rec-exp` `1-exp` `associate-/r/` `pow-flip` `inv-pow`
15×	`pow2`
12×	`div-inv`
8×	`flip3--` `flip--`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`un-div-inv`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 503

Calls

4 calls:

124.0ms	(* (* (/ x (+ x 1)) (/ x (+ x 1))) (* (/ x (+ x 1)) (/ x (+ x 1))))
50.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
49.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
402.0ms	(cbrt (* (* (* (/ x (+ x 1)) (/ x (+ x 1))) (* (/ x (+ x 1)) (/ x (+ x 1)))) (* (/ x (+ x 1)) (/ x (+ x 1)))))

series144.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* (/ x (+ x 1)) (/ x (+ x 1))) (* (/ x (+ x 1)) (/ x (+ x 1))))
30.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
27.0ms	(* (/ 1 (- x 1)) (/ 1 (- x 1)))
40.0ms	(cbrt (* (* (* (/ x (+ x 1)) (/ x (+ x 1))) (* (/ x (+ x 1)) (/ x (+ x 1)))) (* (/ x (+ x 1)) (/ x (+ x 1)))))

simplify3.1s

Counts

515 → 515

Iterations

Iter	Nodes
done	5000
2	4902
1	1554
0	494

prune1.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	28
1	28
0	20

end0.0ms

sample778.0ms

Algorithm

intervals

Results

672.0ms

8000×

body

valid