Details

sample27.0ms

Algorithm

intervals

Results

15.0ms

293×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	19	11
2	28	11
3	41	11
4	52	11
5	66	11
6	78	11
7	108	11
8	124	11
9	137	11
10	143	11
11	248	11
12	538	11
13	1421	11
14	3957	11
done	5000	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize11.0ms

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))

rewrite114.0ms

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` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `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 → 50

Calls

2 calls:

63.0ms	(* x (+ (/ x y) 1.0))
48.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series101.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (+ (/ x y) 1.0))
66.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify981.0ms

Counts

56 → 56

Iterations

Useful iterations: 2 (237.0ms)

Iter	Nodes	Cost
0	103	719
1	324	695
2	1978	607
done	5000	607

prune137.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite86.0ms

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` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

2 → 146

Calls

2 calls:

39.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
39.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series116.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
71.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.2s

Counts

152 → 152

Iterations

Useful iterations: 2 (410.0ms)

Iter	Nodes	Cost
0	207	2958
1	563	2800
2	3152	2662
done	5000	2662

prune380.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ (/ x y) 1.0) (- x 1.0))
0.1b	(/ x (/ (- (* x x) (* 1.0 1.0)) (* (+ (/ x y) 1.0) (- x 1.0))))
12.6b	(/ (- (* x x) (* 1.0 1.0)) (* (+ (/ x y) 1.0) (- x 1.0)))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

68×	`times-frac`
41×	`associate-/r/`
36×	`add-sqr-sqrt` `*-un-lft-identity`
32×	`add-cube-cbrt`
24×	`frac-times`
19×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
18×	`flip3-+` `flip-+`
17×	`associate-/r*`
12×	`associate-r/` `associate-l/`
7×	`cbrt-undiv` `div-exp` `associate-/l*` `difference-of-squares`
6×	`div-inv`
5×	`pow1` `associate-r`
4×	`associate-l`
3×	`prod-exp` `cbrt-unprod` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num` `associate-/l/`
1×	`div-sub` `pow-prod-down` `*-commutative` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 151

Calls

3 calls:

105.0ms	(* (+ (/ x y) 1.0) (- x 1.0))
57.0ms	(/ x (/ (- (* x x) (* 1.0 1.0)) (* (+ (/ x y) 1.0) (- x 1.0))))
51.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (+ (/ x y) 1.0) (- x 1.0)))

series226.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* (+ (/ x y) 1.0) (- x 1.0))
85.0ms	(/ x (/ (- (* x x) (* 1.0 1.0)) (* (+ (/ x y) 1.0) (- x 1.0))))
104.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (+ (/ x y) 1.0) (- x 1.0)))

simplify392.0ms

Counts

160 → 160

Iterations

Useful iterations: done (384.0ms)

Iter	Nodes	Cost
0	278	4194
1	848	4078
done	5000	3786

prune494.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite118.0ms

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`
5×	`add-log-exp`
4×	`div-exp` `distribute-lft-out` `unpow2` `sqr-pow`
3×	`pow1` `flip3-+` `flip-+`
2×	`cbrt-undiv` `frac-2neg` `clear-num` `associate-/r/` `div-inv` `associate-/l/`
1×	`+-commutative` `pow-to-exp` `pow-exp` `sum-log`

Counts

3 → 95

Calls

3 calls:

26.0ms	(+ (* 1.0 x) (/ (pow x 2) y))
75.0ms	(/ (+ (* 1.0 x) (/ (pow x 2) y)) (+ x 1.0))
13.0ms	(/ (pow x 2) y)

series116.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* 1.0 x) (/ (pow x 2) y))
53.0ms	(/ (+ (* 1.0 x) (/ (pow x 2) y)) (+ x 1.0))
31.0ms	(/ (pow x 2) y)

simplify964.0ms

Counts

104 → 104

Iterations

Useful iterations: done (960.0ms)

Iter	Nodes	Cost
0	172	1537
1	392	1447
2	1756	1308
done	5002	1304

prune259.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes69.0ms

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

sample862.0ms

Algorithm

intervals

Results

546.0ms

9124×

body

valid