Details

sample40.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify43.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
5	26
4	25
3	23
2	20
1	15
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
7.6b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`times-frac`
11×	`add-cube-cbrt`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `associate-/r/` `difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `distribute-lft-out--`

Counts

2 → 48

Calls

2 calls:

71.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
29.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series216.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
146.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify4.2s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
3	2698
2	839
1	277
0	116

prune452.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.6b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
98×	`*-un-lft-identity`
75×	`add-sqr-sqrt`
61×	`add-cube-cbrt`
19×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`div-inv` `associate-/l*`
5×	`add-log-exp` `difference-of-squares`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `flip3-+` `diff-log` `associate-/r/` `flip--` `flip-+` `inv-pow`

Counts

3 → 140

Calls

3 calls:

81.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
56.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
68.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series391.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
180.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
97.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify3.4s

Counts

149 → 149

Iterations

Iter	Nodes
done	5000
2	1570
1	563
0	222

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))))
0.2b	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
5.1b	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
16.8b	(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

rewrite608.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log` `add-cbrt-cube`
39×	`add-sqr-sqrt`
37×	`times-frac`
32×	`*-un-lft-identity`
30×	`add-cube-cbrt`
25×	`associate-l`
17×	`prod-exp` `cbrt-unprod`
14×	`cbrt-undiv` `div-exp`
13×	`pow1`
12×	`associate-r`
8×	`difference-of-squares`
7×	`swap-sqr`
6×	`div-inv` `add-log-exp`
5×	`sub-neg` `flip3--` `flip--`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-/r*` `associate-/r/` `associate--r+`
3×	`frac-times` `associate-r/` `associate-/l` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `-commutative`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `distribute-lft-out--`

Counts

4 → 152

Calls

4 calls:

14.0ms	(- x (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))))
72.0ms	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
24.0ms	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
486.0ms	(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

series980.0ms

Counts

4 → 12

Calls

4 calls:

435.0ms	(- x (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))))
122.0ms	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
185.0ms	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
232.0ms	(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

simplify5.0s

Counts

164 → 164

Iterations

Iter	Nodes
done	5084
2	3321
1	830
0	271

prune1.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

7.6b	(/ y (+ (/ (* x y) 2.0) 1.0))
7.6b	(/ y (+ (/ (* x y) 2.0) 1.0))
7.6b	(/ y (+ (/ (* x y) 2.0) 1.0))
32.2b	(cbrt (* (- x (/ y (+ (/ (* x y) 2.0) 1.0))) (* (- x (/ y (+ (/ (* x y) 2.0) 1.0))) (- x (/ y (+ (/ (* x y) 2.0) 1.0))))))

rewrite773.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
36×	`times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt`
28×	`frac-times`
27×	`flip3--` `flip--`
26×	`cbrt-div`
14×	`associate-*r/`
12×	`associate-/r*` `distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
8×	`associate-*l/`
6×	`associate-/r/`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`cbrt-prod` `cube-unmult` `pow1/3` `rem-cbrt-cube`

Counts

4 → 135

Calls

4 calls:

52.0ms	(/ y (+ (/ (* x y) 2.0) 1.0))
52.0ms	(/ y (+ (/ (* x y) 2.0) 1.0))
52.0ms	(/ y (+ (/ (* x y) 2.0) 1.0))
604.0ms	(cbrt (* (- x (/ y (+ (/ (* x y) 2.0) 1.0))) (* (- x (/ y (+ (/ (* x y) 2.0) 1.0))) (- x (/ y (+ (/ (* x y) 2.0) 1.0))))))

series934.0ms

Counts

4 → 12

Calls

4 calls:

373.0ms	(/ y (+ (/ (* x y) 2.0) 1.0))
199.0ms	(/ y (+ (/ (* x y) 2.0) 1.0))
273.0ms	(/ y (+ (/ (* x y) 2.0) 1.0))
77.0ms	(cbrt (* (- x (/ y (+ (/ (* x y) 2.0) 1.0))) (* (- x (/ y (+ (/ (* x y) 2.0) 1.0))) (- x (/ y (+ (/ (* x y) 2.0) 1.0))))))

simplify5.2s

Counts

147 → 147

Iterations

Iter	Nodes
done	5003
2	1456
1	418
0	199

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes141.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.4s	7999×	body	80	valid
0.0ms	1×	body	320	valid