Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

287×

body

valid

simplify167.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	28	11
3	43	11
4	54	11
5	68	11
6	81	11
7	108	11
8	122	11
9	128	11
10	132	11
11	142	11
12	146	11
13	148	11
done	148	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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:

30.0ms	(* x (+ (/ x y) 1.0))
20.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series80.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* x (+ (/ x y) 1.0))
52.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify2.1s

Counts

60 → 60

Iterations

Useful iterations: 3 (972.0ms)

Iter	Nodes	Cost
0	107	759
1	304	728
2	1046	632
3	4475	629
done	5001	629

prune137.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

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))

rewrite56.0ms

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:

23.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
22.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series121.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
70.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify925.0ms

Counts

156 → 156

Iterations

Useful iterations: done (919.0ms)

Iter	Nodes	Cost
0	211	3002
1	503	2812
2	1691	2698
done	5000	2694

prune327.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ (/ x y) 1.0))
0.2b	(cbrt (+ (/ x y) 1.0))
0.2b	(cbrt (+ (/ x y) 1.0))
6.2b	(/ (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0))))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
89×	`*-un-lft-identity`
44×	`cbrt-prod`
39×	`add-sqr-sqrt` `add-cube-cbrt`
34×	`associate-/r*`
25×	`add-exp-log` `distribute-lft-out`
22×	`cbrt-div`
18×	`add-cbrt-cube`
11×	`flip3-+` `flip-+`
10×	`associate-*r/`
9×	`cbrt-undiv` `div-exp`
8×	`associate-/l/`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r/`
4×	`pow1` `expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-*l/`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 150

Calls

4 calls:

7.0ms	(cbrt (+ (/ x y) 1.0))
7.0ms	(cbrt (+ (/ x y) 1.0))
7.0ms	(cbrt (+ (/ x y) 1.0))
84.0ms	(/ (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0))))

series919.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt (+ (/ x y) 1.0))
300.0ms	(cbrt (+ (/ x y) 1.0))
285.0ms	(cbrt (+ (/ x y) 1.0))
54.0ms	(/ (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (+ x 1.0) (cbrt (+ (/ x y) 1.0))))

simplify915.0ms

Counts

162 → 162

Iterations

Useful iterations: done (909.0ms)

Iter	Nodes	Cost
0	229	4133
1	641	3918
2	2235	3234
done	5000	3231

prune470.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (pow x 2) y) (* x 1.0))
7.3b	(/ (pow x 2) y)
7.9b	(/ (+ (/ (pow x 2) y) (* x 1.0)) (+ x 1.0))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
52×	`*-un-lft-identity`
44×	`add-sqr-sqrt` `add-cube-cbrt`
28×	`fma-def`
21×	`unpow-prod-down`
11×	`associate-/l*`
10×	`add-exp-log`
7×	`associate-/r*` `add-cbrt-cube` `unpow2` `sqr-pow`
5×	`add-log-exp`
4×	`div-exp` `distribute-lft-out`
3×	`pow1` `expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `clear-num` `associate-/r/` `associate-/l/`
1×	`+-commutative` `pow-to-exp` `pow-exp` `sum-log`

Counts

3 → 129

Calls

3 calls:

21.0ms	(+ (/ (pow x 2) y) (* x 1.0))
5.0ms	(/ (pow x 2) y)
56.0ms	(/ (+ (/ (pow x 2) y) (* x 1.0)) (+ x 1.0))

series106.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (/ (pow x 2) y) (* x 1.0))
21.0ms	(/ (pow x 2) y)
52.0ms	(/ (+ (/ (pow x 2) y) (* x 1.0)) (+ x 1.0))

simplify1.5s

Counts

138 → 138

Iterations

Useful iterations: 3 (741.0ms)

Iter	Nodes	Cost
0	180	1597
1	387	1441
2	1118	1315
3	3517	1298
done	5000	1298

prune390.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes40.0ms

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	10	11
done	10	11

end0.0ms

sample379.0ms

Algorithm

intervals

Results

228.0ms

9158×

body

valid