Details

sample21.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify40.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
5	18
4	17
3	15
2	12
1	10
0	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (* x 100.0) (+ x y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`add-cbrt-cube` `add-exp-log`
4×	`associate-/r*` `times-frac`
3×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `distribute-lft-out`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 28

Calls

1 calls:

21.0ms

(/ (* x 100.0) (+ x y))

series99.0ms

Counts

1 → 3

Calls

1 calls:

99.0ms

(/ (* x 100.0) (+ x y))

simplify5.6s

Counts

31 → 31

Iterations

Iter	Nodes
done	5329
3	3603
2	662
1	168
0	61

prune318.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) 100.0)
0.2b	(/ x (/ (+ x y) 100.0))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
92×	`*-un-lft-identity`
60×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
16×	`distribute-lft-out`
9×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`flip3-+` `associate-/r/` `flip-+`

Counts

2 → 121

Calls

2 calls:

24.0ms	(/ (+ x y) 100.0)
38.0ms	(/ x (/ (+ x y) 100.0))

series145.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (+ x y) 100.0)
86.0ms	(/ x (/ (+ x y) 100.0))

simplify6.5s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
3	4820
2	1278
1	434
0	175

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x y) (sqrt 100.0))
0.1b	(/ x (/ (+ x y) (sqrt 100.0)))
0.1b	(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

rewrite325.0ms

Algorithm

rewrite-expression-head

Rules

370×	`times-frac`
283×	`*-un-lft-identity`
211×	`add-sqr-sqrt`
185×	`add-cube-cbrt`
108×	`sqrt-prod`
89×	`associate-r`
49×	`distribute-lft-out`
34×	`associate-/r*`
19×	`add-cbrt-cube` `add-exp-log`
10×	`div-inv`
8×	`unswap-sqr`
7×	`cbrt-undiv` `div-exp` `associate-/l*`
6×	`associate-l`
5×	`pow1`
3×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 306

Calls

3 calls:

54.0ms	(/ (+ x y) (sqrt 100.0))
51.0ms	(/ x (/ (+ x y) (sqrt 100.0)))
147.0ms	(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

series492.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(/ (+ x y) (sqrt 100.0))
149.0ms	(/ x (/ (+ x y) (sqrt 100.0)))
231.0ms	(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

simplify5.4s

Counts

315 → 315

Iterations

Iter	Nodes
done	5004
2	3392
1	870
0	309

prune2.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
0.1b	(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
7.9b	(sqrt (* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0)))))
7.9b	(sqrt (* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0)))))

rewrite411.0ms

Algorithm

rewrite-expression-head

Rules

332×	`times-frac`
228×	`*-un-lft-identity`
208×	`add-sqr-sqrt`
178×	`associate-r`
156×	`add-cube-cbrt`
92×	`sqrt-prod`
36×	`distribute-lft-out`
22×	`add-cbrt-cube` `add-exp-log`
16×	`unswap-sqr`
14×	`pow1`
12×	`associate-l`
8×	`div-inv`
6×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `sqrt-pow1` `pow-prod-down` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `sqrt-div` `associate-/r/` `*-commutative`

Counts

4 → 274

Calls

4 calls:

121.0ms	(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
140.0ms	(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
39.0ms	(sqrt (* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0)))))
33.0ms	(sqrt (* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

183.0ms	(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
233.0ms	(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))
188.0ms	(sqrt (* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0)))))
515.0ms	(sqrt (* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0)))))

simplify4.8s

Counts

286 → 286

Iterations

Iter	Nodes
done	5001
2	2606
1	653
0	220

prune2.5s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes350.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample554.0ms

Algorithm

intervals

Results

264.0ms

8000×

body

valid