Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.7b

localize6.0ms

Local error

Found 1 expressions with local error:

16.7b

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

rewrite12.0ms

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×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

11.0ms

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

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify652.0ms

Counts

34 → 34

Iterations

Iter	Nodes
done	5000
2	808
1	189
0	76

prune139.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (/ x (sqrt (fma x x 1.0))) (sqrt (+ (* x x) 1.0)))
16.6b	(sqrt (fma x x 1.0))
16.6b	(sqrt (+ (* x x) 1.0))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

258×	`times-frac`
145×	`add-sqr-sqrt`
142×	`*-un-lft-identity` `add-cube-cbrt`
138×	`sqrt-prod`
22×	`associate-/l*`
8×	`add-cbrt-cube` `add-exp-log` `div-inv`
6×	`associate-/r*`
5×	`pow1`
4×	`sqrt-div`
3×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `associate-/r/` `flip-+`
1×	`clear-num` `frac-2neg` `hypot-def` `associate-/l/`

Counts

3 → 212

Calls

3 calls:

35.0ms	(/ (/ x (sqrt (fma x x 1.0))) (sqrt (+ (* x x) 1.0)))
1.0ms	(sqrt (fma x x 1.0))
8.0ms	(sqrt (+ (* x x) 1.0))

series425.0ms

Counts

3 → 9

Calls

3 calls:

269.0ms	(/ (/ x (sqrt (fma x x 1.0))) (sqrt (+ (* x x) 1.0)))
81.0ms	(sqrt (fma x x 1.0))
74.0ms	(sqrt (+ (* x x) 1.0))

simplify1.9s

Counts

221 → 221

Iterations

Iter	Nodes
done	5001
2	4351
1	860
0	322

prune832.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt (fma x x 1.0)) x) (sqrt (fma x x 1.0)))
0.1b	(/ (/ 1 (sqrt 1)) (* (/ (sqrt (fma x x 1.0)) x) (sqrt (fma x x 1.0))))
16.6b	(sqrt (fma x x 1.0))
16.6b	(sqrt (fma x x 1.0))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
65×	`add-sqr-sqrt`
48×	`add-exp-log`
47×	`*-un-lft-identity` `add-cube-cbrt`
41×	`sqrt-prod`
30×	`add-cbrt-cube`
23×	`div-exp`
22×	`associate-l` `associate-/l*`
12×	`cbrt-undiv`
10×	`prod-exp`
8×	`pow1`
6×	`associate-r` `cbrt-unprod` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/`
1×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `associate-/r/` `-commutative` `associate-/l/`

Counts

4 → 157

Calls

4 calls:

43.0ms	(* (/ (sqrt (fma x x 1.0)) x) (sqrt (fma x x 1.0)))
41.0ms	(/ (/ 1 (sqrt 1)) (* (/ (sqrt (fma x x 1.0)) x) (sqrt (fma x x 1.0))))
2.0ms	(sqrt (fma x x 1.0))
3.0ms	(sqrt (fma x x 1.0))

series442.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (/ (sqrt (fma x x 1.0)) x) (sqrt (fma x x 1.0)))
114.0ms	(/ (/ 1 (sqrt 1)) (* (/ (sqrt (fma x x 1.0)) x) (sqrt (fma x x 1.0))))
76.0ms	(sqrt (fma x x 1.0))
99.0ms	(sqrt (fma x x 1.0))

simplify3.3s

Counts

169 → 169

Iterations

Iter	Nodes
done	5000
2	3359
1	676
0	244

prune561.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ 1.0 x) x)
0.1b	(/ (/ 1 (sqrt 1)) (+ (/ 1.0 x) x))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

187×	`times-frac`
145×	`*-un-lft-identity`
97×	`add-sqr-sqrt` `add-cube-cbrt`
45×	`sqrt-prod`
24×	`distribute-lft-out`
22×	`associate-/l*`
13×	`fma-def`
11×	`add-exp-log`
7×	`add-cbrt-cube` `div-inv`
6×	`div-exp`
4×	`associate-/r*` `add-log-exp`
3×	`cbrt-undiv`
2×	`expm1-log1p-u` `pow1` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `rec-exp` `clear-num` `sum-log` `frac-2neg` `1-exp` `associate-/l/`

Counts

2 → 162

Calls

2 calls:

27.0ms	(+ (/ 1.0 x) x)
61.0ms	(/ (/ 1 (sqrt 1)) (+ (/ 1.0 x) x))

series129.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(+ (/ 1.0 x) x)
69.0ms	(/ (/ 1 (sqrt 1)) (+ (/ 1.0 x) x))

simplify917.0ms

Counts

168 → 168

Iterations

Iter	Nodes
done	5001
2	1341
1	564
0	217

prune344.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample533.0ms

Algorithm

intervals

Results

339.0ms

8000×

body

valid