Details

sample24.0ms

Algorithm

intervals

Results

7.0ms	204×	body	80	valid
2.0ms	16×	body	640	valid
2.0ms	12×	body	1280	valid
1.0ms	14×	body	320	valid
1.0ms	10×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1686
5	419
4	152
3	74
2	35
1	16
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) y)
2.6b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
7.7b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
10×	`add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-/r` `times-frac` `associate-l/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

35.0ms	(* (- 1.0 x) y)
28.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
31.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series261.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* (- 1.0 x) y)
119.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
82.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify1.5s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	2052
1	347
0	128

prune355.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (/ y (+ y 1.0)))
2.6b	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `associate-r`
13×	`times-frac`
11×	`add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`pow1` `add-log-exp`
3×	`flip3--` `flip--` `distribute-lft-out`
2×	`frac-times` `associate-*l/` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 55

Calls

2 calls:

76.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
9.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series161.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
102.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify1.6s

Counts

61 → 61

Iterations

Iter	Nodes
done	5001
2	2232
1	375
0	134

prune294.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))
0.1b	(* (* (- 1.0 x) (/ y (+ y 1.0))) (* (- 1.0 x) (/ y (+ y 1.0))))
2.5b	(- (* 1.0 1.0) (* (* (- 1.0 x) (/ y (+ y 1.0))) (* (- 1.0 x) (/ y (+ y 1.0)))))
11.2b	(/ (- (* 1.0 1.0) (* (* (- 1.0 x) (/ y (+ y 1.0))) (* (- 1.0 x) (/ y (+ y 1.0))))) (+ 1.0 (* (- 1.0 x) (/ y (+ y 1.0)))))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

49×	`frac-times`
43×	`pow1`
42×	`add-cbrt-cube` `add-exp-log`
29×	`associate-*l/`
26×	`flip3--` `flip--`
21×	`prod-exp` `cbrt-unprod`
17×	`pow-prod-down` `associate-*r/`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
8×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
5×	`difference-of-squares`
4×	`pow-sqr` `pow-prod-up` `associate-/l*`
3×	`associate-/r*`
2×	`flip3-+` `pow-plus` `associate-/r/` `flip-+` `associate-/l/`
1×	`pow2` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `associate-r` `associate-l` `*-commutative` `div-inv`

Counts

4 → 139

Calls

4 calls:

11.0ms	(+ 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))
118.0ms	(* (* (- 1.0 x) (/ y (+ y 1.0))) (* (- 1.0 x) (/ y (+ y 1.0))))
8.0ms	(- (* 1.0 1.0) (* (* (- 1.0 x) (/ y (+ y 1.0))) (* (- 1.0 x) (/ y (+ y 1.0)))))
28.0ms	(/ (- (* 1.0 1.0) (* (* (- 1.0 x) (/ y (+ y 1.0))) (* (- 1.0 x) (/ y (+ y 1.0))))) (+ 1.0 (* (- 1.0 x) (/ y (+ y 1.0)))))

series806.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))
66.0ms	(* (* (- 1.0 x) (/ y (+ y 1.0))) (* (- 1.0 x) (/ y (+ y 1.0))))
134.0ms	(- (* 1.0 1.0) (* (* (- 1.0 x) (/ y (+ y 1.0))) (* (- 1.0 x) (/ y (+ y 1.0)))))
519.0ms	(/ (- (* 1.0 1.0) (* (* (- 1.0 x) (/ y (+ y 1.0))) (* (- 1.0 x) (/ y (+ y 1.0))))) (+ 1.0 (* (- 1.0 x) (/ y (+ y 1.0)))))

simplify954.0ms

Counts

151 → 151

Iterations

Iter	Nodes
done	5001
1	858
0	251

prune684.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (- (/ 1.0 y) (/ 1.0 (/ y x))))
0.0b	(- (/ 1.0 y) (/ 1.0 (/ y x)))
0.7b	(/ 1.0 (/ y x))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
68×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
47×	`add-cube-cbrt`
13×	`associate-/r*`
10×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
7×	`div-inv`
6×	`distribute-lft-out--` `difference-of-squares`
3×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*`
2×	`associate-+r+` `sum-log` `sub-neg` `diff-log` `distribute-lft-out`
1×	`+-commutative` `clear-num` `associate-+r-` `frac-2neg` `flip3-+` `flip3--` `associate-/r/` `frac-sub` `flip-+` `flip--`

Counts

3 → 111

Calls

3 calls:

127.0ms	(+ x (- (/ 1.0 y) (/ 1.0 (/ y x))))
48.0ms	(- (/ 1.0 y) (/ 1.0 (/ y x)))
8.0ms	(/ 1.0 (/ y x))

series142.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ x (- (/ 1.0 y) (/ 1.0 (/ y x))))
77.0ms	(- (/ 1.0 y) (/ 1.0 (/ y x)))
25.0ms	(/ 1.0 (/ y x))

simplify1.4s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	2188
1	554
0	217

prune543.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes236.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 14.4b

bsearch1.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	28
1	28
0	21

end0.0ms

sample1.0s

Algorithm

intervals

Results

411.0ms	6101×	body	80	valid
165.0ms	697×	body	640	valid
106.0ms	501×	body	320	valid
94.0ms	399×	body	1280	valid
28.0ms	302×	body	160	valid