Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

288×

body

valid

simplify912.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
9.6b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite150.0ms

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` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `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 → 50

Calls

2 calls:

83.0ms	(* x (+ (/ x y) 1.0))
64.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series110.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* x (+ (/ x y) 1.0))
72.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify662.0ms

Counts: 56 → 56

prune112.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite151.0ms

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` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

2 → 146

Calls

2 calls:

77.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
58.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series152.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
100.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify882.0ms

Counts: 152 → 152

prune391.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 77

Calls

2 calls:

13.0ms	(/ x (+ x 1.0))
100.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series98.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ x (+ x 1.0))
55.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify658.0ms

Counts: 83 → 83

prune258.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

812×	`times-frac`
619×	`*-un-lft-identity`
343×	`add-sqr-sqrt` `add-cube-cbrt`
138×	`distribute-lft-out`
77×	`associate-/r*`
35×	`associate-/r/`
31×	`add-exp-log`
29×	`associate-/l*`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
18×	`flip3-+` `flip-+`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 454

Calls

3 calls:

73.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
54.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
79.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series267.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
90.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
64.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify820.0ms

Counts: 463 → 463

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify837.0ms

end0.0ms

sample837.0ms

Algorithm

intervals

Results

535.0ms

9162×

body

valid