Details

sample353.0ms

Algorithm

intervals

Results

234.0ms	115×	body	2560	valid
68.0ms	75×	body	1280	valid
22.0ms	43×	body	640	valid
8.0ms	256×	pre	80	true
6.0ms	16×	body	320	valid
2.0ms	6×	body	160	valid
0.0ms	1×	body	80	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	10
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.0b

localize43.0ms

Local error

Found 1 expressions with local error:

1.6b	(- (/ 1 x) (/ 1 (tan x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`times-frac`
9×	`difference-of-squares`
7×	`distribute-lft-out--`
4×	`div-inv`
3×	`add-cube-cbrt` `add-log-exp`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `frac-sub` `insert-posit16` `flip--`

Counts

1 → 30

Calls

1 calls:

18.0ms

(- (/ 1 x) (/ 1 (tan x)))

series108.0ms

Counts

1 → 3

Calls

1 calls:

108.0ms

(- (/ 1 x) (/ 1 (tan x)))

simplify1.8s

Counts

33 → 33

Iterations

Iter	Nodes
done	5006
4	1949
3	850
2	427
1	176
0	82

prune134.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 5) 2/945)
0.1b	(* x (* x 1/45))
0.3b	(* x 1/45)
0.4b	(* x (+ 1/3 (* x (* x 1/45))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-l`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 87

Calls

4 calls:

17.0ms	(* (pow x 5) 2/945)
28.0ms	(* x (* x 1/45))
11.0ms	(* x 1/45)
20.0ms	(* x (+ 1/3 (* x (* x 1/45))))

series272.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (pow x 5) 2/945)
28.0ms	(* x (* x 1/45))
36.0ms	(* x 1/45)
138.0ms	(* x (+ 1/3 (* x (* x 1/45))))

simplify1.3s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1234
1	351
0	132

prune453.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x 1/45)
0.3b	(* x 1/45)
0.4b	(* x (+ 1/27 (* (* (* (* x x) x) 1/91125) (* (* x x) x))))
0.4b	(/ (* x (+ 1/27 (* (* (* (* x x) x) 1/91125) (* (* x x) x)))) (+ (* 1/3 1/3) (- (* (* x (* x 1/45)) (* x (* x 1/45))) (* 1/3 (* x (* x 1/45))))))

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-cbrt-cube` `add-exp-log`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1`
9×	`associate-r` `associate-l`
4×	`prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`associate-/r` `flip3-+` `times-frac` `pow-prod-down` `-commutative` `flip-+` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `div-inv` `associate-/l*`

Counts

4 → 87

Calls

4 calls:

5.0ms	(* x 1/45)
5.0ms	(* x 1/45)
10.0ms	(* x (+ 1/27 (* (* (* (* x x) x) 1/91125) (* (* x x) x))))
278.0ms	(/ (* x (+ 1/27 (* (* (* (* x x) x) 1/91125) (* (* x x) x)))) (+ (* 1/3 1/3) (- (* (* x (* x 1/45)) (* x (* x 1/45))) (* 1/3 (* x (* x 1/45))))))

series726.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* x 1/45)
16.0ms	(* x 1/45)
311.0ms	(* x (+ 1/27 (* (* (* (* x x) x) 1/91125) (* (* x x) x))))
376.0ms	(/ (* x (+ 1/27 (* (* (* (* x x) x) 1/91125) (* (* x x) x)))) (+ (* 1/3 1/3) (- (* (* x (* x 1/45)) (* x (* x 1/45))) (* 1/3 (* x (* x 1/45))))))

simplify2.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1913
1	416
0	134

prune490.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x 1/45))
0.1b	(* (+ (* x (* x 1/45)) -1/3) (* x (* x 1/45)))
0.3b	(* x 1/45)
0.3b	(* x 1/45)

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
12×	`associate-l`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*l/` `unswap-sqr`
1×	`flip3-+` `flip-+`

Counts

4 → 81

Calls

4 calls:

23.0ms	(* x (* x 1/45))
103.0ms	(* (+ (* x (* x 1/45)) -1/3) (* x (* x 1/45)))
9.0ms	(* x 1/45)
9.0ms	(* x 1/45)

series212.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* x (* x 1/45))
140.0ms	(* (+ (* x (* x 1/45)) -1/3) (* x (* x 1/45)))
25.0ms	(* x 1/45)
18.0ms	(* x 1/45)

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
2	897
1	245
0	90

prune396.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	33
1	33
0	23

end0.0ms

sample11.2s

Algorithm

intervals

Results

6.7s	3223×	body	2560	valid
2.9s	2521×	body	1280	valid
734.0ms	1251×	body	640	valid
335.0ms	655×	body	320	valid
246.0ms	8000×	pre	80	true
113.0ms	308×	body	160	valid
5.0ms	42×	body	80	valid