Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	54×	body	640	valid
6.0ms	153×	body	80	valid
3.0ms	16×	body	1280	valid
3.0ms	20×	body	320	valid
1.0ms	13×	body	160	valid

simplify290.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize36.0ms

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))
1.2b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite464.0ms

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:

12.0ms	(/ 1 (+ x 1))
16.0ms	(/ 1 (- x 1))
81.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
351.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 1 (+ x 1))
24.0ms	(/ 1 (- x 1))
32.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
117.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify1.7s

Counts

153 → 153

Iterations

Iter	Nodes
done	5000
2	1628
1	510
0	219

prune563.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))
1.2b	(+ (+ (/ 1 (+ x 1)) (/ -2 x)) (/ 1 (- x 1)))

rewrite448.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
49×	`times-frac`
41×	`add-sqr-sqrt`
29×	`distribute-lft-out`
25×	`add-cube-cbrt`
12×	`add-exp-log`
11×	`associate-/r*` `add-log-exp`
8×	`add-cbrt-cube` `div-inv` `difference-of-squares`
6×	`pow1` `associate-/l*` `distribute-lft-out--`
5×	`frac-add`
4×	`sum-log` `flip3-+` `difference-of-sqr-1` `div-exp` `associate-/r/` `flip-+` `insert-posit16`
2×	`cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `frac-2neg` `1-exp` `pow-flip` `inv-pow`
1×	`associate-+l+` `flip3--` `flip--`

Counts

4 → 132

Calls

4 calls:

11.0ms	(/ 1 (+ x 1))
11.0ms	(/ 1 (- x 1))
60.0ms	(+ (/ 1 (+ x 1)) (/ -2 x))
361.0ms	(+ (+ (/ 1 (+ x 1)) (/ -2 x)) (/ 1 (- x 1)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (+ x 1))
15.0ms	(/ 1 (- x 1))
34.0ms	(+ (/ 1 (+ x 1)) (/ -2 x))
133.0ms	(+ (+ (/ 1 (+ x 1)) (/ -2 x)) (/ 1 (- x 1)))

simplify1.6s

Counts

144 → 144

Iterations

Iter	Nodes
done	5000
2	1540
1	490
0	203

prune444.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (* 1 x) (* (+ x 1) 2)) (- x 1))
0.0b	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
0.0b	(* (* (+ x 1) x) (- x 1))
14.6b	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

rewrite409.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 152

Calls

4 calls:

65.0ms	(* (- (* 1 x) (* (+ x 1) 2)) (- x 1))
193.0ms	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
88.0ms	(* (* (+ x 1) x) (- x 1))
56.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

series260.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (- (* 1 x) (* (+ x 1) 2)) (- x 1))
93.0ms	(/ (+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1)))
129.0ms	(* (* (+ x 1) x) (- x 1))
2.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

simplify1.9s

Counts

164 → 164

Iterations

Iter	Nodes
done	5001
1	1102
0	295

prune827.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(* (* (+ x 1) x) (- x 1))
0.2b	(/ 2 (* (* (+ x 1) x) (- x 1)))

rewrite134.0ms

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:

36.0ms	(* (+ x 1) x)
58.0ms	(* (* (+ x 1) x) (- x 1))
37.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

series274.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* (+ x 1) x)
125.0ms	(* (* (+ x 1) x) (- x 1))
87.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

simplify1.5s

Counts

98 → 98

Iterations

Iter	Nodes
done	5008
2	2109
1	475
0	156

prune263.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

514.0ms	1888×	body	640	valid
337.0ms	4145×	body	80	valid
249.0ms	557×	body	1280	valid
195.0ms	938×	body	320	valid
54.0ms	475×	body	160	valid