Details

sample57.0ms

Algorithm

intervals

Results

17.0ms	46×	body	640	valid
13.0ms	141×	body	80	valid
11.0ms	42×	body	320	valid
5.0ms	27×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	15
2	15
1	11
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x 1))
3.0b	(- (/ 1 (+ x 1)) (/ 1 x))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 71

Calls

2 calls:

8.0ms	(/ 1 (+ x 1))
75.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

series40.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(/ 1 (+ x 1))
26.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

simplify1.5s

Counts

77 → 77

Iterations

Iter	Nodes
4	2393
3	1255
2	602
1	258
0	124

prune550.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ -1 (+ x (* x x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity` `times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`associate-/r*`
4×	`distribute-rgt-out` `distribute-rgt1-in`
3×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 38

Calls

1 calls:

7.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify6.7s

Counts

41 → 41

Iterations

Iter	Nodes
4	7575
3	1860
2	521
1	172
0	85

prune305.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ -1 x) (+ 1 x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac`
78×	`*-un-lft-identity`
50×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`distribute-lft-out`
13×	`associate-/l*`
6×	`add-cbrt-cube` `add-exp-log` `div-inv`
4×	`associate-/r*`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/r/`
1×	`pow1` `clear-num` `frac-2neg` `flip3-+` `flip-+` `insert-posit16` `add-log-exp` `associate-/l/`

Counts

1 → 87

Calls

1 calls:

22.0ms

(/ (/ -1 x) (+ 1 x))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(/ (/ -1 x) (+ 1 x))

simplify1.3s

Counts

90 → 90

Iterations

Iter	Nodes
3	2807
2	887
1	385
0	169

prune583.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 1 x))
0.2b	(* (* x x) (* x x))
0.2b	(/ -1 (+ (* (* x x) (* x x)) (* 1 x)))
21.0b	(* (/ -1 (+ (* (* x x) (* x x)) (* 1 x))) (+ (* 1 1) (- (* x x) (* 1 x))))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

117×	`pow1`
36×	`pow-prod-up`
25×	`add-sqr-sqrt`
24×	`pow-prod-down`
23×	`add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt`
19×	`times-frac`
18×	`pow-plus`
16×	`associate-l`
13×	`pow2`
10×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`associate-r`
4×	`flip3-+` `associate-/r/` `flip-+` `insert-posit16`
3×	`associate-/r` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-r/` `-commutative` `div-inv`
1×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3--` `distribute-rgt-out--` `diff-log` `swap-sqr` `associate-*l/` `flip--` `distribute-lft-out`

Counts

4 → 150

Calls

4 calls:

11.0ms	(- (* x x) (* 1 x))
23.0ms	(* (* x x) (* x x))
57.0ms	(/ -1 (+ (* (* x x) (* x x)) (* 1 x)))
168.0ms	(* (/ -1 (+ (* (* x x) (* x x)) (* 1 x))) (+ (* 1 1) (- (* x x) (* 1 x))))

series256.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (* x x) (* 1 x))
35.0ms	(* (* x x) (* x x))
94.0ms	(/ -1 (+ (* (* x x) (* x x)) (* 1 x)))
71.0ms	(* (/ -1 (+ (* (* x x) (* x x)) (* 1 x))) (+ (* 1 1) (- (* x x) (* 1 x))))

simplify1.2s

Counts

162 → 162

Iterations

Iter	Nodes
2	2902
1	678
0	209

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	9
1	9
0	6

end0.0ms

sample1.9s

Algorithm

intervals

Results

970.0ms	1933×	body	640	valid
379.0ms	4125×	body	80	valid
322.0ms	1271×	body	320	valid
102.0ms	673×	body	160	valid