Details

sample66.0ms

Algorithm

intervals

Results

24.0ms	58×	body	640	valid
15.0ms	147×	body	80	valid
10.0ms	33×	body	320	valid
4.0ms	8×	body	1280	valid
2.0ms	10×	body	160	valid

simplify237.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	475
9	475
8	357
7	164
6	102
5	81
4	65
3	45
2	35
1	21
0	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (+ x 1))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
2.7b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite309.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
58×	`add-sqr-sqrt`
56×	`times-frac`
25×	`add-cube-cbrt`
18×	`distribute-lft-out--`
17×	`distribute-lft-out`
14×	`difference-of-squares`
12×	`add-exp-log`
11×	`associate-/r*` `add-log-exp`
8×	`add-cbrt-cube` `div-inv`
6×	`pow1` `associate-/l*`
4×	`difference-of-sqr-1` `div-exp` `associate-/r/` `insert-posit16`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `rec-exp` `associate-+l+` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `1-exp` `frac-sub` `flip-+` `pow-flip` `inv-pow`
1×	`+-commutative` `associate-+l-`

Counts

4 → 141

Calls

4 calls:

13.0ms	(/ 1 (- x 1))
16.0ms	(/ 1 (+ x 1))
61.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
216.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ 1 (- x 1))
14.0ms	(/ 1 (+ x 1))
30.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
114.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify1.3s

Counts

153 → 153

Iterations

Iter	Nodes
done	2010
3	2010
2	1619
1	510
0	219

prune511.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1))
0.3b	(cbrt (+ x 1))
0.3b	(cbrt (+ x 1))
16.8b	(+ (- (* (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ 1 (cbrt (+ x 1)))) (/ 2 x)) (/ 1 (- x 1)))

rewrite578.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`cbrt-prod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `frac-add`
5×	`distribute-lft-out`
4×	`pow1` `flip3-+` `add-cbrt-cube` `add-exp-log` `frac-sub` `flip-+` `insert-posit16`
3×	`pow1/3`
2×	`associate-+l+` `sum-log`
1×	`frac-times` `+-commutative` `sub-neg` `flip3--` `diff-log` `associate-l/` `associate-r/` `un-div-inv` `associate-+l-` `div-inv` `flip--`

Counts

4 → 69

Calls

4 calls:

2.0ms	(cbrt (+ x 1))
2.0ms	(cbrt (+ x 1))
2.0ms	(cbrt (+ x 1))
570.0ms	(+ (- (* (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ 1 (cbrt (+ x 1)))) (/ 2 x)) (/ 1 (- x 1)))

series245.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt (+ x 1))
45.0ms	(cbrt (+ x 1))
45.0ms	(cbrt (+ x 1))
108.0ms	(+ (- (* (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ 1 (cbrt (+ x 1)))) (/ 2 x)) (/ 1 (- x 1)))

simplify1.3s

Counts

81 → 81

Iterations

Iter	Nodes
done	2019
3	2019
2	1566
1	446
0	163

prune362.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1) (- x (* 2 (+ x 1))))
0.1b	(* (* (+ x 1) x) (- x 1))
0.2b	(- x (* 2 (+ x 1)))
16.8b	(+ (* (+ x 1) x) (* (- x 1) (- x (* 2 (+ x 1)))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

30×	`associate-*l/`
22×	`flip3--` `flip--`
17×	`add-sqr-sqrt`
16×	`frac-times` `frac-add`
13×	`*-un-lft-identity`
12×	`flip3-+` `flip-+`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`associate-r`
8×	`associate-l` `associate-*r/` `add-log-exp`
7×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `add-cube-cbrt`
4×	`associate-+r+` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `difference-of-squares`
2×	`difference-of-sqr-1` `*-commutative` `associate--r+` `distribute-lft-out--`
1×	`+-commutative` `sum-log` `diff-log` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

34.0ms	(* (- x 1) (- x (* 2 (+ x 1))))
43.0ms	(* (* (+ x 1) x) (- x 1))
4.0ms	(- x (* 2 (+ x 1)))
20.0ms	(+ (* (+ x 1) x) (* (- x 1) (- x (* 2 (+ x 1)))))

series168.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (- x 1) (- x (* 2 (+ x 1))))
105.0ms	(* (* (+ x 1) x) (- x 1))
30.0ms	(- x (* 2 (+ x 1)))
2.0ms	(+ (* (+ x 1) x) (* (- x 1) (- x (* 2 (+ x 1)))))

simplify1.2s

Counts

129 → 129

Iterations

Iter	Nodes
done	2005
2	2005
1	824
0	226

prune552.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(/ 2 (* (* (+ x 1) x) (- x 1)))
0.1b	(* (* (+ x 1) x) (- x 1))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
18×	`associate-*l/`
14×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`pow1` `associate-r`
8×	`frac-times` `associate-/r/` `add-cube-cbrt`
7×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
6×	`flip3--` `flip--`
5×	`associate-l`
4×	`pow-prod-down` `associate-*r/`
3×	`cbrt-undiv` `times-frac` `div-exp` `insert-posit16` `associate-/l*` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `*-commutative` `difference-of-squares`
1×	`clear-num` `associate-/r*` `frac-2neg` `difference-of-sqr-1` `div-inv` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 89

Calls

3 calls:

23.0ms	(* (+ x 1) x)
42.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))
42.0ms	(* (* (+ x 1) x) (- x 1))

series282.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* (+ x 1) x)
84.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))
145.0ms	(* (* (+ x 1) x) (- x 1))

simplify1.0s

Counts

98 → 98

Iterations

Iter	Nodes
done	2002
2	2002
1	476
0	156

prune306.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	8

end0.0ms

sample2.8s

Algorithm

intervals

Results

894.0ms	1914×	body	640	valid
475.0ms	4168×	body	80	valid
465.0ms	442×	body	160	valid
406.0ms	912×	body	320	valid
405.0ms	566×	body	1280	valid