Details

sample37.0ms

Algorithm

intervals

Results

22.0ms

284×

body

valid

simplify2.4s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
7.9b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite166.0ms

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:

31.0ms	(+ (/ x y) 1.0)
86.0ms	(* x (+ (/ x y) 1.0))
44.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series128.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (/ x y) 1.0)
38.0ms	(* x (+ (/ x y) 1.0))
65.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.2s

Counts

90 → 90

Iterations

Useful iterations: 2 (332.0ms)

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

prune209.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite112.0ms

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:

18.0ms	(+ (/ x y) 1.0)
39.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
45.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series138.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (/ x y) 1.0)
47.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
78.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.4s

Counts

186 → 186

Iterations

Useful iterations: 2 (434.0ms)

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

prune415.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
7.9b	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

59×	`times-frac`
50×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
32×	`add-exp-log`
20×	`add-cbrt-cube`
14×	`div-exp`
13×	`fma-def`
12×	`associate-*r/`
11×	`associate-/r*` `associate-/r/`
8×	`flip3-+` `flip-+` `distribute-lft-out`
7×	`pow1` `cbrt-undiv` `div-inv` `associate-/l*`
6×	`add-log-exp`
5×	`prod-exp`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `sum-log` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 151

Calls

4 calls:

28.0ms	(+ (/ x y) 1.0)
55.0ms	(* x (+ (/ x y) 1.0))
45.0ms	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
38.0ms	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (/ x y) 1.0)
41.0ms	(* x (+ (/ x y) 1.0))
66.0ms	(/ 1 (/ (+ x 1.0) (* x (+ (/ x y) 1.0))))
105.0ms	(/ (+ x 1.0) (* x (+ (/ x y) 1.0)))

simplify1.7s

Counts

163 → 163

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	197	2324
1	547	2124
2	2958	1940
done	5000	1938

prune324.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

7.0b	(cbrt (/ x y))
7.0b	(cbrt (/ x y))
7.0b	(cbrt (/ x y))
7.9b	(/ (* x (fma (* (cbrt (/ x y)) (cbrt (/ x y))) (cbrt (/ x y)) 1.0)) (+ x 1.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
31×	`*-un-lft-identity` `times-frac`
27×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `distribute-lft-out`
1×	`frac-2neg` `flip3-+` `prod-exp` `clear-num` `cbrt-unprod` `flip-+` `associate-/l*`

Counts

4 → 99

Calls

4 calls:

3.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
19.0ms	(/ (* x (fma (* (cbrt (/ x y)) (cbrt (/ x y))) (cbrt (/ x y)) 1.0)) (+ x 1.0))

series455.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(cbrt (/ x y))
83.0ms	(cbrt (/ x y))
100.0ms	(cbrt (/ x y))
206.0ms	(/ (* x (fma (* (cbrt (/ x y)) (cbrt (/ x y))) (cbrt (/ x y)) 1.0)) (+ x 1.0))

simplify1.4s

Counts

111 → 111

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	191	1814
1	474	1722
2	2220	1345
done	5000	1235

prune446.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes52.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
done	10	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.3s

9227×

body

valid