Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

295×

body

valid

simplify2.1s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
8.5b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
13×	`fma-def` `times-frac`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
4×	`associate-/r` `flip3-+` `associate-r` `associate-r/` `flip-+` `distribute-lft-out`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`distribute-rgt-in` `+-commutative` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `associate-/l` `unswap-sqr`

Counts

3 → 81

Calls

3 calls:

23.0ms	(+ (/ x y) 1.0)
60.0ms	(* x (+ (/ x y) 1.0))
41.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series116.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (/ x y) 1.0)
30.0ms	(* x (+ (/ x y) 1.0))
72.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.3s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1928
1	339
0	112

prune440.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

165×	`*-un-lft-identity`
155×	`times-frac`
79×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`distribute-lft-out`
26×	`associate-/r*`
13×	`fma-def`
11×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
7×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 177

Calls

3 calls:

27.0ms	(+ (/ x y) 1.0)
57.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
59.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series198.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (/ x y) 1.0)
63.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
121.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.8s

Counts

186 → 186

Iterations

Iter	Nodes
done	5001
2	3179
1	580
0	216

prune809.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ x (/ (+ x 1.0) (fma x (/ 1 y) 1.0)))
0.1b	(fma x (/ 1 y) 1.0)
0.1b	(/ (+ x 1.0) (fma x (/ 1 y) 1.0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
93×	`*-un-lft-identity`
61×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
16×	`distribute-lft-out`
10×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`flip3-+` `associate-/r/` `flip-+` `fma-udef`

Counts

3 → 129

Calls

3 calls:

12.0ms	(/ x (/ (+ x 1.0) (fma x (/ 1 y) 1.0)))
0.0ms	(fma x (/ 1 y) 1.0)
25.0ms	(/ (+ x 1.0) (fma x (/ 1 y) 1.0))

series206.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(/ x (/ (+ x 1.0) (fma x (/ 1 y) 1.0)))
37.0ms	(fma x (/ 1 y) 1.0)
87.0ms	(/ (+ x 1.0) (fma x (/ 1 y) 1.0))

simplify1.5s

Counts

138 → 138

Iterations

Iter	Nodes
done	5001
2	2641
1	492
0	191

prune609.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite348.0ms

Algorithm

rewrite-expression-head

Rules

111×	`*-un-lft-identity`
87×	`add-sqr-sqrt`
68×	`times-frac`
55×	`add-cube-cbrt`
38×	`add-cbrt-cube` `add-exp-log`
31×	`associate-r`
19×	`associate-l`
18×	`prod-diff` `distribute-lft-out`
13×	`prod-exp` `cbrt-unprod`
11×	`distribute-rgt-in` `pow1` `distribute-lft-in`
10×	`frac-times` `cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
9×	`associate-/r*`
8×	`associate-/r/`
7×	`associate-l/` `associate-/l`
6×	`flip3--` `associate-*r/` `flip--`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `flip-+`
2×	`clear-num` `sub-neg` `frac-2neg` `*-commutative` `associate-/l/`

Counts

4 → 213

Calls

4 calls:

15.0ms	(/ x (+ x 1.0))
107.0ms	(* (/ x (+ x 1.0)) (/ (+ (/ x y) 1.0) (- x 1.0)))
47.0ms	(/ (+ (/ x y) 1.0) (- x 1.0))
170.0ms	(* (* (/ x (+ x 1.0)) (/ (+ (/ x y) 1.0) (- x 1.0))) (- x 1.0))

series271.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ x (+ x 1.0))
114.0ms	(* (/ x (+ x 1.0)) (/ (+ (/ x y) 1.0) (- x 1.0)))
42.0ms	(/ (+ (/ x y) 1.0) (- x 1.0))
62.0ms	(* (* (/ x (+ x 1.0)) (/ (+ (/ x y) 1.0) (- x 1.0))) (- x 1.0))

simplify1.3s

Counts

225 → 225

Iterations

Iter	Nodes
done	5000
1	1055
0	321

prune893.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample816.0ms

Algorithm

intervals

Results

508.0ms

9148×

body

valid