Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

285×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	30	11
3	45	11
4	60	11
5	74	11
6	86	11
7	119	11
8	146	11
9	171	11
10	187	11
11	294	11
12	612	11
13	1578	11
14	4517	11
done	5000	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
7.1b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

24.0ms	(+ (/ x y) 1.0)
73.0ms	(* x (+ (/ x y) 1.0))
55.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series124.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ (/ x y) 1.0)
44.0ms	(* x (+ (/ x y) 1.0))
61.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.5s

Counts

90 → 90

Iterations

Useful iterations: 2 (394.0ms)

Iter	Nodes	Cost
0	113	900
1	341	868
2	2023	770
done	5000	770

prune484.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite156.0ms

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-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 177

Calls

3 calls:

26.0ms	(+ (/ x y) 1.0)
55.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
62.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series193.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (/ x y) 1.0)
61.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
108.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.7s

Counts

186 → 186

Iterations

Useful iterations: 2 (517.0ms)

Iter	Nodes	Cost
0	217	3143
1	580	2977
2	3158	2833
done	5001	2833

prune882.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 108

Calls

3 calls:

27.0ms	(+ (/ x y) 1.0)
17.0ms	(/ x (+ x 1.0))
120.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series159.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (/ x y) 1.0)
56.0ms	(/ x (+ x 1.0))
76.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify2.3s

Counts

117 → 117

Iterations

Useful iterations: 2 (701.0ms)

Iter	Nodes	Cost
0	151	1254
1	524	1210
2	3093	1108
done	5000	1108

prune564.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

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-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`flip3-+` `associate-/r/` `flip-+` `fma-udef`

Counts

3 → 129

Calls

3 calls:

25.0ms	(/ x (/ (+ x 1.0) (fma x (/ 1 y) 1.0)))
34.0ms	(/ (+ x 1.0) (fma x (/ 1 y) 1.0))
1.0ms	(fma x (/ 1 y) 1.0)

series237.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ x (/ (+ x 1.0) (fma x (/ 1 y) 1.0)))
120.0ms	(/ (+ x 1.0) (fma x (/ 1 y) 1.0))
30.0ms	(fma x (/ 1 y) 1.0)

simplify1.6s

Counts

138 → 138

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	192	2688
1	492	2593
2	2616	2249
done	5000	2245

prune751.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	11	11
done	11	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

9144×

body

valid