Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	16
3	16
2	14
1	11
0	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `flip-+` `div-inv` `flip--` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

22.0ms

(/ (- x y) (+ x y))

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

(/ (- x y) (+ x y))

simplify503.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	739
1	193
0	78

prune236.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
40×	`times-frac`
35×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
12×	`distribute-lft-out`
8×	`associate-/r*` `associate-/r/`
7×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`flip3-+` `flip-+` `div-inv` `difference-of-squares`
3×	`pow1` `distribute-rgt-out--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div`

Counts

3 → 94

Calls

3 calls:

9.0ms	(/ x (+ y x))
9.0ms	(/ y (+ y x))
65.0ms	(- (/ x (+ y x)) (/ y (+ y x)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ x (+ y x))
45.0ms	(/ y (+ y x))
84.0ms	(- (/ x (+ y x)) (/ y (+ y x)))

simplify2.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5002
3	4836
2	938
1	287
0	130

prune430.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (pow (/ x (+ y x)) 3) (pow (/ y (+ y x)) 3)) (+ (* (/ x (+ y x)) (/ x (+ y x))) (* (/ y (+ y x)) (+ (/ x (+ y x)) (/ y (+ y x))))))
0.1b	(pow (/ y (+ y x)) 3)
0.1b	(pow (/ x (+ y x)) 3)
0.1b	(* (/ x (+ y x)) (/ x (+ y x)))

rewrite889.0ms

Algorithm

rewrite-expression-head

Rules

650×	`*-un-lft-identity`
643×	`times-frac`
540×	`add-sqr-sqrt`
292×	`unpow-prod-down` `cube-prod`
192×	`add-cube-cbrt`
144×	`difference-of-squares`
116×	`distribute-lft-out--`
103×	`associate-/r/`
94×	`distribute-lft-out`
81×	`associate-/l*`
50×	`sqr-pow`
48×	`distribute-rgt-out--`
47×	`flip3-+` `flip-+`
41×	`div-inv`
27×	`frac-add`
24×	`add-cbrt-cube` `swap-sqr` `add-exp-log`
18×	`associate-r` `associate-l`
17×	`frac-times` `associate-*r/`
13×	`pow1`
11×	`associate-*l/`
7×	`cbrt-undiv` `div-exp`
6×	`cube-div` `pow-unpow`
4×	`difference-cubes` `pow-exp` `prod-exp` `cbrt-unprod` `add-log-exp` `rem-cube-cbrt` `unswap-sqr` `associate-/l/`
3×	`associate-/r*`
2×	`cube-mult` `pow-to-exp` `pow-pow` `unpow3`
1×	`pow2` `clear-num` `frac-2neg` `pow-plus` `flip3--` `div-sub` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `frac-sub` `flip--` `sub-div`

Counts

4 → 567

Calls

4 calls:

740.0ms	(/ (- (pow (/ x (+ y x)) 3) (pow (/ y (+ y x)) 3)) (+ (* (/ x (+ y x)) (/ x (+ y x))) (* (/ y (+ y x)) (+ (/ x (+ y x)) (/ y (+ y x))))))
18.0ms	(pow (/ y (+ y x)) 3)
11.0ms	(pow (/ x (+ y x)) 3)
60.0ms	(* (/ x (+ y x)) (/ x (+ y x)))

series936.0ms

Counts

4 → 12

Calls

4 calls:

280.0ms	(/ (- (pow (/ x (+ y x)) 3) (pow (/ y (+ y x)) 3)) (+ (* (/ x (+ y x)) (/ x (+ y x))) (* (/ y (+ y x)) (+ (/ x (+ y x)) (/ y (+ y x))))))
124.0ms	(pow (/ y (+ y x)) 3)
422.0ms	(pow (/ x (+ y x)) 3)
110.0ms	(* (/ x (+ y x)) (/ x (+ y x)))

simplify1.2s

Counts

579 → 579

Iterations

Iter	Nodes
done	5002
1	2040
0	593

prune2.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ y x))
0.0b	(- (/ x (+ y x)) (log (exp (/ y (+ y x)))))
0.0b	(exp (/ y (+ y x)))
2.6b	(log (exp (/ y (+ y x))))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
37×	`times-frac`
36×	`add-sqr-sqrt` `exp-prod`
31×	`add-cube-cbrt`
20×	`log-pow`
10×	`distribute-lft-out`
6×	`pow1` `log-prod` `add-cbrt-cube` `add-exp-log` `associate-/r/` `add-log-exp`
4×	`associate-/r*`
3×	`flip3-+` `flip-+` `div-inv` `associate-/l*` `associate--r+`
2×	`distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `rem-log-exp` `flip--` `rem-exp-log`

Counts

4 → 108

Calls

4 calls:

17.0ms	(/ y (+ y x))
184.0ms	(- (/ x (+ y x)) (log (exp (/ y (+ y x)))))
31.0ms	(exp (/ y (+ y x)))
41.0ms	(log (exp (/ y (+ y x))))

series338.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ y (+ y x))
140.0ms	(- (/ x (+ y x)) (log (exp (/ y (+ y x)))))
73.0ms	(exp (/ y (+ y x)))
52.0ms	(log (exp (/ y (+ y x))))

simplify1.7s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
3	3720
2	764
1	267
0	140

prune577.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes80.0ms

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	18
1	18
0	14

end0.0ms

sample662.0ms

Algorithm

intervals

Results

316.0ms

8000×

body

valid