Details

sample51.0ms

Algorithm

intervals

Results

14.0ms	28×	body	320	valid
13.0ms	59×	body	640	valid
9.0ms	154×	body	80	valid
2.0ms	15×	body	160	valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
2	18
1	15
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ x 1))
0.0b	(/ 1 (- x 1))
1.6b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
72×	`add-sqr-sqrt`
69×	`times-frac`
32×	`add-cube-cbrt`
27×	`distribute-lft-out--`
17×	`difference-of-squares`
11×	`associate-/r*` `add-exp-log`
10×	`distribute-lft-out`
7×	`add-cbrt-cube`
6×	`associate-/r/` `div-inv` `associate-/l*`
5×	`pow1` `add-log-exp`
4×	`difference-of-sqr-1` `div-exp`
3×	`insert-posit16` `flip--`
2×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip-+` `pow-flip` `inv-pow`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 128

Calls

3 calls:

21.0ms	(/ 1 (+ x 1))
22.0ms	(/ 1 (- x 1))
118.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series103.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ 1 (+ x 1))
22.0ms	(/ 1 (- x 1))
63.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify2.3s

Counts

137 → 137

Iterations

Iter	Nodes
done	5005
3	3466
2	1077
1	401
0	185

prune456.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize44.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ 1 (- (* x x) (* 1 1)))
1.2b	(- (- x 1) (+ x 1))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 67

Calls

2 calls:

18.0ms	(/ 1 (- (* x x) (* 1 1)))
85.0ms	(- (- x 1) (+ x 1))

series56.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ 1 (- (* x x) (* 1 1)))
7.0ms	(- (- x 1) (+ x 1))

simplify1.4s

Counts

73 → 73

Iterations

Iter	Nodes
done	5003
2	1556
1	392
0	144

prune229.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1 (- (* x x) (* 1 1))) -2)
0.5b	(/ 1 (- (* x x) (* 1 1)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`times-frac`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`associate-l`
15×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`difference-of-squares`
5×	`pow1`
4×	`associate-/r*` `div-exp` `prod-exp` `associate-/r/`
3×	`associate-r` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `cbrt-unprod` `insert-posit16` `div-inv` `flip--` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 79

Calls

2 calls:

54.0ms	(* (/ 1 (- (* x x) (* 1 1))) -2)
22.0ms	(/ 1 (- (* x x) (* 1 1)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* (/ 1 (- (* x x) (* 1 1))) -2)
53.0ms	(/ 1 (- (* x x) (* 1 1)))

simplify1.8s

Counts

85 → 85

Iterations

Iter	Nodes
done	5012
3	2821
2	838
1	345
0	139

prune251.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

449×	`times-frac`
381×	`*-un-lft-identity`
331×	`add-sqr-sqrt`
171×	`add-cube-cbrt`
132×	`associate-l`
74×	`difference-of-squares`
49×	`distribute-lft-out`
37×	`difference-of-sqr-1` `distribute-lft-out--`
36×	`associate-/r/`
31×	`add-exp-log`
21×	`associate-/l*`
19×	`add-cbrt-cube`
18×	`div-inv`
16×	`flip3-+` `flip-+`
14×	`div-exp`
11×	`associate-/r*`
7×	`cbrt-undiv`
6×	`pow1`
5×	`prod-exp`
4×	`unswap-sqr`
3×	`rec-exp` `1-exp` `associate-r` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

3 → 367

Calls

3 calls:

13.0ms	(/ 1 (+ x 1))
108.0ms	(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
50.0ms	(/ (/ 1 (+ x 1)) (- x 1))

series164.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ 1 (+ x 1))
62.0ms	(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
78.0ms	(/ (/ 1 (+ x 1)) (- x 1))

simplify2.0s

Counts

376 → 376

Iterations

Iter	Nodes
done	5003
2	2877
1	1012
0	373

prune918.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes20.0ms

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	10
1	10
0	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

681.0ms	4192×	body	80	valid
387.0ms	1928×	body	640	valid
201.0ms	1244×	body	320	valid
53.0ms	636×	body	160	valid