Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

305×

body

valid

simplify2.3s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
9.4b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
4×	`pow1` `times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`flip3-+` `associate-l` `flip-+` `distribute-lft-out`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

72.0ms	(* x (+ (/ x y) 1.0))
57.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series94.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* x (+ (/ x y) 1.0))
65.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.2s

Counts

60 → 60

Iterations

Useful iterations: 2 (335.0ms)

Iter	Nodes	Cost
0	107	759
1	334	731
2	2019	643
done	5000	643

prune188.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

155×	`*-un-lft-identity`
146×	`times-frac`
71×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

2 → 150

Calls

2 calls:

40.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
48.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series120.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
70.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.2s

Counts

156 → 156

Iterations

Useful iterations: 2 (426.0ms)

Iter	Nodes	Cost
0	211	3002
1	575	2840
2	3269	2706
done	5001	2706

prune332.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))
0.4b	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.4b	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.4b	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

279×	`*-un-lft-identity`
206×	`cbrt-prod`
158×	`times-frac`
103×	`add-sqr-sqrt`
88×	`distribute-lft-out`
79×	`add-cube-cbrt`
45×	`swap-sqr`
25×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 226

Calls

4 calls:

158.0ms	(* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))
27.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
27.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
26.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))

series780.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))
192.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
196.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
170.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))

simplify1.3s

Counts

238 → 238

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	214	6057
1	448	5645
2	1809	5478
done	5000	5114

prune668.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ x y) x) (* 1.0 x))
0.2b	(* (/ x y) x)
9.4b	(/ (+ (* (/ x y) x) (* 1.0 x)) (+ x 1.0))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 91

Calls

3 calls:

20.0ms	(+ (* (/ x y) x) (* 1.0 x))
22.0ms	(* (/ x y) x)
47.0ms	(/ (+ (* (/ x y) x) (* 1.0 x)) (+ x 1.0))

series108.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (* (/ x y) x) (* 1.0 x))
20.0ms	(* (/ x y) x)
48.0ms	(/ (+ (* (/ x y) x) (* 1.0 x)) (+ x 1.0))

simplify2.3s

Counts

100 → 100

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	158	1404
1	420	1210
2	2261	1118
done	5001	1114

prune341.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample811.0ms

Algorithm

intervals

Results

515.0ms

9113×

body

valid