Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

295×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	4468
13	1561
12	595
11	277
10	170
9	166
8	148
7	120
6	86
5	74
4	60
3	45
2	30
1	19
0	8

prune272.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (/ x y))
0.0b	(/ (+ 1.0 x) x)
0.1b	(/ (+ 1.0 (/ x y)) (/ (+ 1.0 x) x))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

144×	`*-un-lft-identity`
136×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
37×	`distribute-lft-out`
19×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
7×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`expm1-log1p-u` `pow1` `fma-def` `flip3-+` `flip-+` `log1p-expm1-u`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `associate-/r/`

Counts

3 → 155

Calls

3 calls:

14.0ms	(+ 1.0 (/ x y))
26.0ms	(/ (+ 1.0 x) x)
40.0ms	(/ (+ 1.0 (/ x y)) (/ (+ 1.0 x) x))

series151.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ 1.0 (/ x y))
74.0ms	(/ (+ 1.0 x) x)
63.0ms	(/ (+ 1.0 (/ x y)) (/ (+ 1.0 x) x))

simplify1.1s

Counts

164 → 164

Iterations

Iter	Nodes
done	5001
2	2935
1	552
0	201

prune580.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sqrt (+ 1.0 x)))
0.1b	(/ (+ (/ x y) 1.0) (sqrt (+ 1.0 x)))
0.1b	(* (/ (+ (/ x y) 1.0) (sqrt (+ 1.0 x))) x)
2.6b	(* (/ 1 (sqrt (+ 1.0 x))) (* (/ (+ (/ x y) 1.0) (sqrt (+ 1.0 x))) x))

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

131×	`*-un-lft-identity`
100×	`times-frac`
77×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
65×	`sqrt-prod`
61×	`associate-l`
54×	`add-exp-log`
34×	`add-cbrt-cube`
31×	`distribute-lft-out`
22×	`prod-exp`
14×	`associate-/r*` `div-exp`
13×	`pow1`
12×	`cbrt-unprod`
8×	`cbrt-undiv` `sqrt-div` `associate-/r/`
7×	`associate-/l*`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-r` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow-flip` `unswap-sqr`
2×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-*r/` `inv-pow`

Counts

4 → 227

Calls

4 calls:

12.0ms	(/ 1 (sqrt (+ 1.0 x)))
60.0ms	(/ (+ (/ x y) 1.0) (sqrt (+ 1.0 x)))
95.0ms	(* (/ (+ (/ x y) 1.0) (sqrt (+ 1.0 x))) x)
140.0ms	(* (/ 1 (sqrt (+ 1.0 x))) (* (/ (+ (/ x y) 1.0) (sqrt (+ 1.0 x))) x))

series359.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ 1 (sqrt (+ 1.0 x)))
107.0ms	(/ (+ (/ x y) 1.0) (sqrt (+ 1.0 x)))
132.0ms	(* (/ (+ (/ x y) 1.0) (sqrt (+ 1.0 x))) x)
46.0ms	(* (/ 1 (sqrt (+ 1.0 x))) (* (/ (+ (/ x y) 1.0) (sqrt (+ 1.0 x))) x))

simplify2.6s

Counts

239 → 239

Iterations

Iter	Nodes
done	5000
2	4929
1	813
0	295

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (/ x y) 1.0))
0.0b	(sqrt (+ (/ x y) 1.0))
0.0b	(* (sqrt (+ (/ x y) 1.0)) x)
2.9b	(* (/ (sqrt (+ (/ x y) 1.0)) (+ 1.0 x)) (* (sqrt (+ (/ x y) 1.0)) x))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
41×	`add-sqr-sqrt` `associate-l`
30×	`times-frac`
29×	`sqrt-prod`
25×	`add-cube-cbrt`
18×	`add-cbrt-cube` `add-exp-log`
14×	`distribute-lft-out`
13×	`pow1`
10×	`sqrt-div`
7×	`associate-*l/` `prod-exp` `cbrt-unprod`
6×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `hypot-def` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-r/` `associate-/r/` `-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 127

Calls

4 calls:

29.0ms	(sqrt (+ (/ x y) 1.0))
33.0ms	(sqrt (+ (/ x y) 1.0))
51.0ms	(* (sqrt (+ (/ x y) 1.0)) x)
148.0ms	(* (/ (sqrt (+ (/ x y) 1.0)) (+ 1.0 x)) (* (sqrt (+ (/ x y) 1.0)) x))

series401.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(sqrt (+ (/ x y) 1.0))
103.0ms	(sqrt (+ (/ x y) 1.0))
140.0ms	(* (sqrt (+ (/ x y) 1.0)) x)
50.0ms	(* (/ (sqrt (+ (/ x y) 1.0)) (+ 1.0 x)) (* (sqrt (+ (/ x y) 1.0)) x))

simplify1.3s

Counts

139 → 139

Iterations

Iter	Nodes
done	5001
2	2389
1	503
0	177

prune699.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite496.0ms

Algorithm

rewrite-expression-head

Rules

5165×	`times-frac`
3757×	`*-un-lft-identity`
2704×	`sqrt-prod`
1949×	`add-sqr-sqrt`
1943×	`add-cube-cbrt`
907×	`distribute-lft-out`
191×	`div-inv`
85×	`associate-/l*`
38×	`associate-/r*`
24×	`sqrt-div`
22×	`associate-/r/`
11×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `rem-sqrt-square` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l/`
2×	`clear-num` `frac-2neg` `sqrt-pow1` `pow1/2`
1×	`flip3-+` `flip-+`

Counts

4 → 1833

Calls

4 calls:

12.0ms	(sqrt (/ (+ 1.0 x) x))
8.0ms	(sqrt (/ (+ 1.0 x) x))
175.0ms	(/ (/ (+ (/ x y) 1.0) (sqrt (/ (+ 1.0 x) x))) (sqrt (/ (+ 1.0 x) x)))
49.0ms	(/ (+ (/ x y) 1.0) (sqrt (/ (+ 1.0 x) x)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sqrt (/ (+ 1.0 x) x))
55.0ms	(sqrt (/ (+ 1.0 x) x))
65.0ms	(/ (/ (+ (/ x y) 1.0) (sqrt (/ (+ 1.0 x) x))) (sqrt (/ (+ 1.0 x) x)))
95.0ms	(/ (+ (/ x y) 1.0) (sqrt (/ (+ 1.0 x) x)))

simplify2.7s

Counts

1845 → 1845

Iterations

Iter	Nodes
done	5000
1	3775
0	1568

prune5.3s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.0s

Algorithm

intervals

Results

820.0ms

9148×

body

valid