Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

295×

body

valid

simplify95.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	29	5
2	45	5
3	56	5
4	74	5
5	86	5
6	120	5
7	136	5
8	146	5
9	150	5
10	160	5
11	446	5
12	2695	5
13	5001	5
done	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
11.8b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
4×	`pow1` `times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`flip3-+` `associate-l` `flip-+` `distribute-lft-out`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

50.0ms	(* x (+ (/ x y) 1.0))
31.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series86.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (+ (/ x y) 1.0))
50.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify59.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	306	352
1	1568	305
2	5001	304
done	5001	304

prune127.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

155×	`*-un-lft-identity`
146×	`times-frac`
71×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

2 → 150

Calls

2 calls:

39.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
37.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series130.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
82.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify87.0ms

Counts

156 → 156

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	504	1464
1	2390	1406
2	5002	1404
done	5002	1404

prune306.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
11.9b	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

50×	`times-frac`
40×	`*-un-lft-identity`
31×	`add-exp-log`
28×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
19×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r*` `associate-/r/`
7×	`cbrt-undiv` `flip3-+` `flip-+` `distribute-lft-out` `associate-/l*`
6×	`pow1` `div-inv`
5×	`prod-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

3 → 124

Calls

3 calls:

49.0ms	(* x (+ (/ x y) 1.0))
45.0ms	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
32.0ms	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

series176.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* x (+ (/ x y) 1.0))
47.0ms	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
101.0ms	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

simplify88.0ms

Counts

133 → 133

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	493	1039
1	2692	905
2	5002	850
done	5002	850

prune210.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (pow x 2) y))
6.3b	(- (+ x (/ (pow x 2) y)) (/ (pow x 3) y))
6.8b	(/ (pow x 3) y)
8.5b	(/ (pow x 2) y)

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

265×	`*-un-lft-identity`
208×	`times-frac`
189×	`add-sqr-sqrt`
176×	`add-cube-cbrt`
160×	`prod-diff`
61×	`unpow-prod-down`
49×	`cube-prod`
43×	`distribute-lft-out`
21×	`sqr-pow`
20×	`associate-/l*`
16×	`cube-mult` `unpow3`
14×	`add-exp-log`
11×	`add-log-exp`
8×	`add-cbrt-cube`
6×	`div-exp` `associate-/r*` `div-inv`
5×	`difference-of-squares`
4×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u` `unpow2`
3×	`fma-def`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `flip3-+` `diff-log` `pow-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 324

Calls

4 calls:

17.0ms	(+ x (/ (pow x 2) y))
207.0ms	(- (+ x (/ (pow x 2) y)) (/ (pow x 3) y))
9.0ms	(/ (pow x 3) y)
9.0ms	(/ (pow x 2) y)

series103.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ x (/ (pow x 2) y))
30.0ms	(- (+ x (/ (pow x 2) y)) (/ (pow x 3) y))
25.0ms	(/ (pow x 3) y)
23.0ms	(/ (pow x 2) y)

simplify210.0ms

Counts

336 → 336

Iterations

Useful iterations: 2 (160.0ms)

Iter	Nodes	Cost
0	1040	5570
1	4193	3899
2	5001	3792
done	5001	3792

prune455.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5
done	10	5

end0.0ms

sample686.0ms

Algorithm

intervals

Results

495.0ms

9152×

body

valid