Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

293×

body

valid

simplify2.2s

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: 8.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
7.6b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite116.0ms

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:

68.0ms	(* x (+ (/ x y) 1.0))
46.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series75.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* x (+ (/ x y) 1.0))
45.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.2s

Counts

60 → 60

Iterations

Useful iterations: 2 (360.0ms)

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

prune146.0ms

Pruning

5 alts after pruning (4 fresh and 1 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))

rewrite141.0ms

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:

72.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
58.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series143.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
86.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.5s

Counts

156 → 156

Iterations

Useful iterations: 2 (464.0ms)

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

prune352.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1.0 x (/ (pow x 2) y))
7.6b	(/ (fma 1.0 x (/ (pow x 2) y)) (+ x 1.0))
7.6b	(/ (pow x 2) y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
36×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`unpow-prod-down`
11×	`associate-/l*`
10×	`add-exp-log`
7×	`associate-/r*` `add-cbrt-cube`
4×	`div-exp` `distribute-lft-out` `unpow2` `sqr-pow`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `clear-num` `associate-/r/` `div-inv`
1×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+` `fma-udef`

Counts

3 → 96

Calls

3 calls:

0.0ms	(fma 1.0 x (/ (pow x 2) y))
17.0ms	(/ (fma 1.0 x (/ (pow x 2) y)) (+ x 1.0))
10.0ms	(/ (pow x 2) y)

series144.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(fma 1.0 x (/ (pow x 2) y))
68.0ms	(/ (fma 1.0 x (/ (pow x 2) y)) (+ x 1.0))
22.0ms	(/ (pow x 2) y)

simplify811.0ms

Counts

105 → 105

Iterations

Useful iterations: done (805.0ms)

Iter	Nodes	Cost
0	166	1410
1	331	1341
2	1396	1200
done	5000	1199

prune331.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ x (log1p (expm1 (/ (+ x 1.0) (+ (/ x y) 1.0)))))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))
0.3b	(log1p (expm1 (/ (+ x 1.0) (+ (/ x y) 1.0))))
0.4b	(expm1 (/ (+ x 1.0) (+ (/ x y) 1.0)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r` `associate-/l`
5×	`log1p-expm1-u`
4×	`pow1` `expm1-log1p-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `associate-/r/` `flip-+` `div-inv` `associate-/l/`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `expm1-udef`

Counts

4 → 93

Calls

4 calls:

5.0ms	(/ x (log1p (expm1 (/ (+ x 1.0) (+ (/ x y) 1.0)))))
41.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
0.0ms	(log1p (expm1 (/ (+ x 1.0) (+ (/ x y) 1.0))))
1.0ms	(expm1 (/ (+ x 1.0) (+ (/ x y) 1.0)))

series683.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(/ x (log1p (expm1 (/ (+ x 1.0) (+ (/ x y) 1.0)))))
86.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
189.0ms	(log1p (expm1 (/ (+ x 1.0) (+ (/ x y) 1.0))))
280.0ms	(expm1 (/ (+ x 1.0) (+ (/ x y) 1.0)))

simplify964.0ms

Counts

105 → 105

Iterations

Useful iterations: done (959.0ms)

Iter	Nodes	Cost
0	157	1637
1	362	1482
2	1651	1364
done	5001	1360

prune289.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes95.0ms

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

sample1.1s

Algorithm

intervals

Results

828.0ms

9124×

body

valid