Details

sample480.0ms

Algorithm

intervals

Results

266.0ms	102×	body	2560	valid
112.0ms	78×	body	1280	valid
58.0ms	44×	body	640	valid
14.0ms	21×	body	320	valid
11.0ms	256×	pre	80	true
4.0ms	10×	body	160	valid
0.0ms	1×	body	80	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	10
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize21.0ms

Local error

Found 1 expressions with local error:

3.4b	(- (/ 1 x) (/ 1 (tan x)))

rewrite61.0ms

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:

60.0ms

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

series81.0ms

Counts

1 → 3

Calls

1 calls:

81.0ms

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

simplify1.5s

Counts

33 → 33

Iterations

Iter	Nodes
done	2000
5	2000
4	1949
3	850
2	427
1	176
0	82

prune171.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1/3 (* 1/45 (* x x)))
0.1b	(* (pow x 5) 2/945)
0.2b	(* 1/45 (* x x))
0.3b	(* x (+ 1/3 (* 1/45 (* x x))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

6.0ms	(+ 1/3 (* 1/45 (* x x)))
8.0ms	(* (pow x 5) 2/945)
24.0ms	(* 1/45 (* x x))
23.0ms	(* x (+ 1/3 (* 1/45 (* x x))))

series345.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(+ 1/3 (* 1/45 (* x x)))
94.0ms	(* (pow x 5) 2/945)
30.0ms	(* 1/45 (* x x))
133.0ms	(* x (+ 1/3 (* 1/45 (* x x))))

simplify893.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	2002
3	2002
2	1333
1	385
0	130

prune399.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 1/45 (* x x))
0.2b	(* 1/45 (* x x))
0.4b	(* x (- (* 1/3 1/3) (* (* 1/45 (* x x)) (* 1/45 (* x x)))))
0.4b	(/ (* x (- (* 1/3 1/3) (* (* 1/45 (* x x)) (* 1/45 (* x x))))) (- 1/3 (* 1/45 (* x x))))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
16×	`pow1`
14×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`pow-prod-down`
6×	`associate-r`
4×	`associate-*r/` `insert-posit16` `add-log-exp`
3×	`associate-/r` `times-frac` `flip3--` `-commutative` `flip--` `unswap-sqr`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `associate-/r/` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*` `difference-of-squares`

Counts

4 → 92

Calls

4 calls:

22.0ms	(* 1/45 (* x x))
12.0ms	(* 1/45 (* x x))
34.0ms	(* x (- (* 1/3 1/3) (* (* 1/45 (* x x)) (* 1/45 (* x x)))))
27.0ms	(/ (* x (- (* 1/3 1/3) (* (* 1/45 (* x x)) (* 1/45 (* x x))))) (- 1/3 (* 1/45 (* x x))))

series556.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* 1/45 (* x x))
48.0ms	(* 1/45 (* x x))
194.0ms	(* x (- (* 1/3 1/3) (* (* 1/45 (* x x)) (* 1/45 (* x x)))))
279.0ms	(/ (* x (- (* 1/3 1/3) (* (* 1/45 (* x x)) (* 1/45 (* x x))))) (- 1/3 (* 1/45 (* x x))))

simplify1.4s

Counts

104 → 104

Iterations

Iter	Nodes
done	2000
3	2000
2	1762
1	432
0	136

prune539.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 5) 2/945)
0.2b	(* (* x x) 1/45)
0.2b	(* (* x x) 1/45)
0.2b	(* (* x x) 1/45)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
21×	`add-cbrt-cube`
19×	`pow1`
18×	`add-sqr-sqrt`
12×	`associate-r` `prod-exp`
10×	`-un-lft-identity` `associate-l*` `add-cube-cbrt` `cbrt-unprod`
9×	`pow-prod-down`
6×	`unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 86

Calls

4 calls:

18.0ms	(* (pow x 5) 2/945)
29.0ms	(* (* x x) 1/45)
18.0ms	(* (* x x) 1/45)
16.0ms	(* (* x x) 1/45)

series186.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (pow x 5) 2/945)
37.0ms	(* (* x x) 1/45)
31.0ms	(* (* x x) 1/45)
40.0ms	(* (* x x) 1/45)

simplify1.5s

Counts

98 → 98

Iterations

Iter	Nodes
done	2005
4	2005
3	1968
2	582
1	198
0	83

prune320.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

regimes25.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample14.5s

Algorithm

intervals

Results

8.8s	3276×	body	2560	valid
3.6s	2552×	body	1280	valid
1.2s	1238×	body	640	valid
305.0ms	604×	body	320	valid
261.0ms	8000×	pre	80	true
99.0ms	290×	body	160	valid
7.0ms	40×	body	80	valid