Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize6.0ms

Local error

Found 1 expressions with local error:

14.1b

(/ x (+ (* x x) 1.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

11.0ms

(/ x (+ (* x x) 1.0))

series89.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

(/ x (+ (* x x) 1.0))

simplify2.1s

Counts

32 → 32

Iterations

Iter	Nodes
done	5103
3	3419
2	697
1	183
0	74

prune171.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (sqrt (+ (* x x) 1.0)))
0.0b	(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
14.0b	(sqrt (+ (* x x) 1.0))
14.0b	(sqrt (+ (* x x) 1.0))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
164×	`add-sqr-sqrt`
162×	`*-un-lft-identity` `add-cube-cbrt`
156×	`sqrt-prod`
27×	`associate-/l*`
22×	`sqrt-div`
18×	`associate-/r/`
12×	`associate-/r*`
11×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
9×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2`
1×	`associate-/l/`

Counts

4 → 262

Calls

4 calls:

24.0ms	(/ x (sqrt (+ (* x x) 1.0)))
57.0ms	(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
10.0ms	(sqrt (+ (* x x) 1.0))
15.0ms	(sqrt (+ (* x x) 1.0))

series393.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(/ x (sqrt (+ (* x x) 1.0)))
84.0ms	(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
52.0ms	(sqrt (+ (* x x) 1.0))
82.0ms	(sqrt (+ (* x x) 1.0))

simplify1.9s

Counts

274 → 274

Iterations

Iter	Nodes
done	5001
2	1988
1	806
0	336

prune822.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ x (sqrt (sqrt (+ (* x x) 1.0))))
14.0b	(sqrt (+ (* x x) 1.0))
14.0b	(sqrt (+ (* x x) 1.0))
14.0b	(sqrt (+ (* x x) 1.0))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

45×	`sqrt-prod`
32×	`add-sqr-sqrt`
29×	`*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`sqrt-div`
9×	`associate-/r*`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l*`
2×	`associate-/r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 98

Calls

4 calls:

18.0ms	(/ x (sqrt (sqrt (+ (* x x) 1.0))))
13.0ms	(sqrt (+ (* x x) 1.0))
13.0ms	(sqrt (+ (* x x) 1.0))
12.0ms	(sqrt (+ (* x x) 1.0))

series511.0ms

Counts

4 → 12

Calls

4 calls:

350.0ms	(/ x (sqrt (sqrt (+ (* x x) 1.0))))
70.0ms	(sqrt (+ (* x x) 1.0))
43.0ms	(sqrt (+ (* x x) 1.0))
48.0ms	(sqrt (+ (* x x) 1.0))

simplify2.2s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
3	2898
2	988
1	368
0	173

prune636.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (/ (+ (* x x) 1.0) x))
14.1b	(/ (+ (* x x) 1.0) x)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `add-log-exp` `associate-/l/`
1×	`flip3-+` `associate-/r/` `flip-+` `pow-flip` `inv-pow`

Counts

2 → 105

Calls

2 calls:

17.0ms	(/ 1 (/ (+ (* x x) 1.0) x))
19.0ms	(/ (+ (* x x) 1.0) x)

series239.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(/ 1 (/ (+ (* x x) 1.0) x))
136.0ms	(/ (+ (* x x) 1.0) x)

simplify2.9s

Counts

111 → 111

Iterations

Iter	Nodes
done	5151
3	4682
2	1228
1	454
0	172

prune430.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample419.0ms

Algorithm

intervals

Results

286.0ms

8000×

body

valid