Details

sample23.0ms

Algorithm

intervals

Results

6.0ms	54×	body	640	valid
4.0ms	142×	body	80	valid
3.0ms	35×	body	320	valid
1.0ms	25×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
2	18
1	15
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- x 1))
3.7b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 90

Calls

2 calls:

8.0ms	(/ 1 (- x 1))
68.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series104.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ 1 (- x 1))
79.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify1.9s

Counts

96 → 96

Iterations

Iter	Nodes
done	5012
3	2776
2	863
1	328
0	154

prune326.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x (+ 1 (+ x 1))) (* (+ x 1) (- x 1)))
2.9b	(- x (+ 1 (+ x 1)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
11×	`add-log-exp`
10×	`add-sqr-sqrt`
9×	`distribute-lft-out` `distribute-lft-out--`
8×	`associate-/r/`
7×	`times-frac` `add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`flip3--` `flip--`
4×	`frac-times` `add-cube-cbrt`
3×	`sum-log` `flip3-+` `diff-log` `flip-+` `difference-of-squares`
2×	`pow1` `cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `insert-posit16` `associate-/l/`
1×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `div-sub` `prod-exp` `cbrt-unprod` `div-inv` `associate--r+`

Counts

2 → 61

Calls

2 calls:

98.0ms	(/ (- x (+ 1 (+ x 1))) (* (+ x 1) (- x 1)))
43.0ms	(- x (+ 1 (+ x 1)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ (- x (+ 1 (+ x 1))) (* (+ x 1) (- x 1)))
7.0ms	(- x (+ 1 (+ x 1)))

simplify1.5s

Counts

67 → 67

Iterations

Iter	Nodes
done	5002
2	1445
1	373
0	126

prune219.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 1 expressions with local error:

0.4b	(/ -2 (* (+ x 1) (- x 1)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/r/`
6×	`add-cbrt-cube` `add-exp-log`
4×	`frac-times`
3×	`add-sqr-sqrt` `-un-lft-identity` `flip3-+` `times-frac` `flip3--` `add-cube-cbrt` `flip-+` `flip--` `associate-/l`
2×	`cbrt-undiv` `div-exp` `associate-l/` `associate-r/`
1×	`pow1` `clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

22.0ms

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

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify3.0s

Counts

33 → 33

Iterations

Iter	Nodes
done	5010
3	3989
2	778
1	228
0	92

prune91.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
61×	`times-frac`
33×	`add-cube-cbrt`
27×	`associate-r`
26×	`add-exp-log`
18×	`associate-l`
16×	`add-cbrt-cube`
14×	`difference-of-squares`
9×	`div-exp`
8×	`prod-exp`
7×	`associate-/r*` `difference-of-sqr-1` `distribute-lft-out--`
6×	`associate-/r/` `unswap-sqr`
5×	`cbrt-undiv`
4×	`pow1` `cbrt-unprod`
3×	`div-inv` `distribute-lft-out` `associate-/l*`
2×	`rec-exp` `flip3--` `1-exp` `insert-posit16` `flip--` `add-log-exp`
1×	`frac-times` `clear-num` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip-+`

Counts

2 → 122

Calls

2 calls:

8.0ms	(/ -2 (- x 1))
31.0ms	(* (/ 1 (+ x 1)) (/ -2 (- x 1)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ -2 (- x 1))
86.0ms	(* (/ 1 (+ x 1)) (/ -2 (- x 1)))

simplify2.0s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	1826
1	587
0	203

prune415.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes34.0ms

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

863.0ms	1981×	body	640	valid
320.0ms	4151×	body	80	valid
150.0ms	1234×	body	320	valid
50.0ms	634×	body	160	valid