Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify16.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize7.0ms

Local error

Found 1 expressions with local error:

7.9b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
29×	`times-frac`
13×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 50

Calls

1 calls:

47.0ms

(/ (+ x y) (- 1.0 (/ y z)))

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

(/ (+ x y) (- 1.0 (/ y z)))

simplify754.0ms

Counts: 53 → 53

prune124.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.9b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

231×	`times-frac`
194×	`add-sqr-sqrt`
193×	`*-un-lft-identity`
89×	`add-cube-cbrt`
42×	`difference-of-squares`
34×	`associate-/r*`
31×	`distribute-lft-out`
21×	`distribute-lft-out--`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube` `associate-/l*`
8×	`div-exp`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `div-sub` `flip--` `inv-pow`

Counts

2 → 195

Calls

2 calls:

38.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
48.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series233.0ms

Counts

2 → 6

Calls

2 calls:

168.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
64.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify968.0ms

Counts: 201 → 201

prune474.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (+ x y) (sqrt (- 1.0 (/ y z)))) (sqrt (- 1.0 (/ y z))))
0.1b	(/ (+ x y) (sqrt (- 1.0 (/ y z))))
2.9b	(sqrt (- 1.0 (/ y z)))
2.9b	(sqrt (- 1.0 (/ y z)))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

864×	`times-frac`
744×	`add-sqr-sqrt`
672×	`*-un-lft-identity`
540×	`sqrt-prod`
292×	`add-cube-cbrt`
180×	`difference-of-squares`
100×	`distribute-lft-out`
90×	`distribute-lft-out--`
46×	`associate-/l*`
28×	`sqrt-div`
24×	`associate-/r/`
18×	`associate-/r*`
14×	`flip3--` `flip--`
12×	`div-inv`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`associate-/l/`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`
1×	`flip3-+` `flip-+`

Counts

4 → 547

Calls

4 calls:

96.0ms	(/ (/ (+ x y) (sqrt (- 1.0 (/ y z)))) (sqrt (- 1.0 (/ y z))))
38.0ms	(/ (+ x y) (sqrt (- 1.0 (/ y z))))
17.0ms	(sqrt (- 1.0 (/ y z)))
26.0ms	(sqrt (- 1.0 (/ y z)))

series396.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(/ (/ (+ x y) (sqrt (- 1.0 (/ y z)))) (sqrt (- 1.0 (/ y z))))
92.0ms	(/ (+ x y) (sqrt (- 1.0 (/ y z))))
98.0ms	(sqrt (- 1.0 (/ y z)))
124.0ms	(sqrt (- 1.0 (/ y z)))

simplify1.3s

Counts: 559 → 559

prune1.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 5.0b

localize13.0ms

Local error

Found 2 expressions with local error:

2.5b	(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- 1.0 (/ y z))))
2.8b	(/ (sqrt (+ x y)) (- 1.0 (/ y z)))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

137×	`add-sqr-sqrt`
104×	`*-un-lft-identity`
103×	`times-frac`
61×	`sqrt-prod`
48×	`associate-r`
46×	`add-cube-cbrt`
30×	`difference-of-squares`
15×	`distribute-lft-out--`
14×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l` `associate-/l*`
6×	`sqrt-div` `associate-/r*` `unswap-sqr`
4×	`pow1` `associate-/r/`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 150

Calls

2 calls:

129.0ms	(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- 1.0 (/ y z))))
45.0ms	(/ (sqrt (+ x y)) (- 1.0 (/ y z)))

series300.0ms

Counts

2 → 6

Calls

2 calls:

148.0ms	(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- 1.0 (/ y z))))
153.0ms	(/ (sqrt (+ x y)) (- 1.0 (/ y z)))

simplify650.0ms

Counts: 156 → 156

prune453.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 5.0b

regimes218.0ms

Accuracy

68% (0.6b remaining)

Error of 6.5b against oracle of 5.9b and baseline of 7.9b

bsearch2.0ms

simplify947.0ms

end0.0ms

sample707.0ms

Algorithm

intervals

Results

311.0ms	7997×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid