Details

sample19.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	9
2	9
1	8
0	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 46

Calls

1 calls:

28.0ms

(/ (+ x 1.0) (- 1.0 x))

series63.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify737.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	2000
3	1744
2	563
1	212
0	92

prune161.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 x) (+ x 1.0))
0.0b	(/ 1 (/ (- 1.0 x) (+ x 1.0)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
174×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
30×	`associate-/r*`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `add-log-exp` `associate-/l/`
1×	`flip3--` `div-sub` `pow-flip` `flip--` `inv-pow`

Counts

2 → 176

Calls

2 calls:

33.0ms	(/ (- 1.0 x) (+ x 1.0))
27.0ms	(/ 1 (/ (- 1.0 x) (+ x 1.0)))

series103.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (- 1.0 x) (+ x 1.0))
60.0ms	(/ 1 (/ (- 1.0 x) (+ x 1.0)))

simplify742.0ms

Counts

182 → 182

Iterations

Iter	Nodes
done	2011
2	1521
1	602
0	229

prune383.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

279×	`*-un-lft-identity`
169×	`times-frac`
146×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
59×	`add-cbrt-cube` `add-exp-log`
52×	`associate-r`
49×	`distribute-lft-out`
48×	`swap-sqr`
41×	`distribute-lft-out--`
30×	`pow1`
29×	`difference-of-squares`
27×	`associate-l`
22×	`prod-exp` `cbrt-unprod`
18×	`cbrt-undiv` `div-exp`
12×	`associate-/r/`
11×	`frac-times` `associate-*l/`
7×	`cbrt-div` `pow-plus` `associate-*r/` `pow-prod-up`
6×	`flip3--` `div-inv` `flip--` `unswap-sqr`
5×	`associate-/r*`
4×	`pow-prod-down` `insert-posit16` `associate-/l*` `add-log-exp`
3×	`pow2` `pow-sqr`
2×	`pow3` `*-commutative` `associate-/l/`
1×	`cbrt-prod` `clear-num` `frac-2neg` `flip3-+` `pow1/3` `rem-cbrt-cube` `flip-+`

Counts

4 → 269

Calls

4 calls:

16.0ms	(/ (+ x 1.0) (- 1.0 x))
108.0ms	(* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)))
100.0ms	(cbrt (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x))))
76.0ms	(* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (+ x 1.0) (- 1.0 x))
97.0ms	(* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)))
42.0ms	(cbrt (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x))))
58.0ms	(* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))

simplify729.0ms

Counts

281 → 281

Iterations

Iter	Nodes
done	2000
1	930
0	270

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
0.0b	(/ 1 (/ (- (* 1.0 1.0) (* x x)) (* (+ x 1.0) (+ x 1.0))))
16.0b	(/ (- (* 1.0 1.0) (* x x)) (* (+ x 1.0) (+ x 1.0)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

68×	`times-frac`
48×	`*-un-lft-identity`
41×	`associate-/r/`
36×	`add-sqr-sqrt` `flip3-+` `flip-+`
34×	`add-cube-cbrt`
31×	`add-exp-log`
24×	`frac-times`
19×	`add-cbrt-cube`
17×	`associate-/r*`
14×	`div-exp`
12×	`associate-l/` `associate-r/`
11×	`pow1`
7×	`cbrt-undiv` `associate-/l*`
6×	`swap-sqr` `div-inv` `distribute-lft-out` `difference-of-squares`
5×	`prod-exp`
4×	`associate-r` `associate-l`
3×	`rec-exp` `1-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `flip3--` `div-sub` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `pow-flip` `flip--` `inv-pow` `unswap-sqr`

Counts

3 → 169

Calls

3 calls:

31.0ms	(* (+ x 1.0) (+ x 1.0))
25.0ms	(/ 1 (/ (- (* 1.0 1.0) (* x x)) (* (+ x 1.0) (+ x 1.0))))
37.0ms	(/ (- (* 1.0 1.0) (* x x)) (* (+ x 1.0) (+ x 1.0)))

series171.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* (+ x 1.0) (+ x 1.0))
74.0ms	(/ 1 (/ (- (* 1.0 1.0) (* x x)) (* (+ x 1.0) (+ x 1.0))))
71.0ms	(/ (- (* 1.0 1.0) (* x x)) (* (+ x 1.0) (+ x 1.0)))

simplify738.0ms

Counts

178 → 178

Iterations

Iter	Nodes
done	2000
1	747
0	247

prune535.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes49.0ms

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
done	10
1	10
0	8

end0.0ms

sample563.0ms

Algorithm

intervals

Results

407.0ms

8000×

body

valid