Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

283×

body

valid

simplify214.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	29	11
3	44	11
4	55	11
5	69	11
6	81	11
7	114	11
8	129	11
9	135	11
10	139	11
11	149	11
12	153	11
13	155	11
done	155	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize7.0ms

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))

rewrite93.0ms

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:

55.0ms	(* x (+ (/ x y) 1.0))
36.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series81.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* x (+ (/ x y) 1.0))
52.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify2.2s

Counts

60 → 60

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	107	759
1	302	728
2	1120	632
3	4510	629
done	5000	629

prune121.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite91.0ms

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)))
43.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series129.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
77.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.0s

Counts

156 → 156

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	211	3002
1	489	2812
2	1720	2698
done	5000	2685

prune316.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 46

Calls

1 calls:

80.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify1.3s

Counts

49 → 49

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	112	735
1	407	718
2	1431	646
done	5000	643

prune117.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

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

rewrite218.0ms

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:

150.0ms	(* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))
20.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
17.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
15.0ms	(cbrt (/ (+ x 1.0) (+ 1.0 (/ x y))))

series698.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))
170.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
165.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
172.0ms	(cbrt (/ (+ x 1.0) (+ 1.0 (/ x y))))

simplify2.2s

Counts

238 → 238

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	272	6057
1	499	5643
2	1289	5466
3	2971	5002
done	5000	4962

prune627.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.0b 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	11	11
done	11	11

end0.0ms

sample449.0ms

Algorithm

intervals

Results

234.0ms

9147×

body

valid