Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

292×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	29	11
3	44	11
4	55	11
5	69	11
6	82	11
7	109	11
8	123	11
9	129	11
10	133	11
11	158	11
12	407	11
13	2009	11
done	5000	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
8.9b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite57.0ms

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:

33.0ms	(* x (+ (/ x y) 1.0))
22.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series83.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* x (+ (/ x y) 1.0))
54.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify626.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	107	759
1	314	728
2	1432	632
done	5000	632

prune152.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

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))

rewrite57.0ms

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:

25.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
23.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series135.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
80.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify867.0ms

Counts

156 → 156

Iterations

Useful iterations: 2 (207.0ms)

Iter	Nodes	Cost
0	211	3002
1	510	2812
2	2269	2698
done	5000	2698

prune360.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

66.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
7.0ms	(cbrt (+ (/ x y) 1.0))
8.0ms	(cbrt (+ (/ x y) 1.0))
8.0ms	(cbrt (+ (/ x y) 1.0))

series1.3s

Counts

4 → 12

Calls

4 calls:

341.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
311.0ms	(cbrt (+ (/ x y) 1.0))
307.0ms	(cbrt (+ (/ x y) 1.0))
303.0ms	(cbrt (+ (/ x y) 1.0))

simplify1.4s

Counts

115 → 115

Iterations

Useful iterations: 3 (354.0ms)

Iter	Nodes	Cost
0	105	1706
1	216	1578
2	685	1472
3	2097	1319
done	5000	1319

prune379.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
0.6b	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
0.6b	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
0.6b	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

rewrite332.0ms

Algorithm

rewrite-expression-head

Rules

1062×	`times-frac`
1022×	`*-un-lft-identity`
641×	`cbrt-prod`
478×	`add-sqr-sqrt`
422×	`add-cube-cbrt`
264×	`distribute-lft-out`
134×	`swap-sqr`
74×	`associate-r` `associate-l`
49×	`associate-/r/`
28×	`div-inv`
21×	`flip3-+` `flip-+`
16×	`unswap-sqr`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div`
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 → 567

Calls

4 calls:

212.0ms	(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
16.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
16.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
16.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

series1.1s

Counts

4 → 12

Calls

4 calls:

305.0ms	(* (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))) (cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))))
255.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
254.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))
267.0ms	(cbrt (/ x (/ (+ x 1.0) (+ (/ x y) 1.0))))

simplify1.6s

Counts

579 → 579

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	538	19645
1	964	18250
2	3795	17944
done	5000	17932

prune1.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes292.0ms

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

sample411.0ms

Algorithm

intervals

Results

249.0ms

9108×

body

valid