Details

sample682.0ms

Algorithm

intervals

Results

111.0ms	45×	body	1280	valid
46.0ms	44×	body	640	valid
30.0ms	138×	body	80	valid
14.0ms	20×	body	320	valid
5.0ms	9×	body	160	valid

simplify57.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	38
5	38
4	36
3	28
2	23
1	15
0	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
0.1b	(- 1 (* (tan x) (tan x)))
0.3b	(* (tan x) (tan x))
0.3b	(* (tan x) (tan x))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`pow1`
15×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
8×	`tan-quot`
6×	`swap-sqr` `associate-r` `associate-l` `add-log-exp`
5×	`associate-/l*`
4×	`insert-posit16`
3×	`associate-/r*`
2×	`pow2` `frac-times` `pow-plus` `flip3--` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip--` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `flip-+` `div-inv`

Counts

4 → 114

Calls

4 calls:

17.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
9.0ms	(- 1 (* (tan x) (tan x)))
28.0ms	(* (tan x) (tan x))
54.0ms	(* (tan x) (tan x))

series269.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
56.0ms	(- 1 (* (tan x) (tan x)))
45.0ms	(* (tan x) (tan x))
70.0ms	(* (tan x) (tan x))

simplify2.4s

Counts

126 → 126

Iterations

Iter	Nodes
done	5070
3	3113
2	964
1	376
0	144

prune515.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ 1 (tan x))
0.2b	(- 1 (tan x))
0.2b	(* (+ 1 (tan x)) (- 1 (tan x)))
0.3b	(* (tan x) (tan x))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`pow1`
10×	`add-cube-cbrt`
9×	`associate-r`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
7×	`associate-l`
5×	`frac-times`
4×	`flip3-+` `flip3--` `tan-quot` `flip-+` `insert-posit16` `flip--` `difference-of-squares`
3×	`sub-neg` `swap-sqr` `associate-l/` `associate-r/`
2×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`pow2` `+-commutative` `sum-log` `pow-plus` `diff-log` `pow-sqr` `pow-prod-up`

Counts

4 → 93

Calls

4 calls:

9.0ms	(+ 1 (tan x))
9.0ms	(- 1 (tan x))
30.0ms	(* (+ 1 (tan x)) (- 1 (tan x)))
19.0ms	(* (tan x) (tan x))

series199.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ 1 (tan x))
35.0ms	(- 1 (tan x))
93.0ms	(* (+ 1 (tan x)) (- 1 (tan x)))
38.0ms	(* (tan x) (tan x))

simplify1.5s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1190
1	382
0	136

prune476.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ 1 (tan x))
0.2b	(* (- (tan x)) (+ 1 (tan x)))
0.2b	(+ (* 1 (+ 1 (tan x))) (* (- (tan x)) (+ 1 (tan x))))
0.3b	(* (tan x) (tan x))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-*r/`
16×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`pow1` `flip3-+` `associate-l` `tan-quot` `flip-+`
12×	`add-cube-cbrt`
10×	`frac-add`
9×	`distribute-neg-frac`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
7×	`frac-times` `associate-r`
4×	`associate-*l/` `insert-posit16`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-in` `distribute-rgt-neg-in` `distribute-lft-in` `swap-sqr`
2×	`+-commutative` `associate-+l+` `associate-+r+` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`pow2` `neg-mul-1` `pow-plus` `distribute-rgt-out` `unsub-neg` `pow-sqr` `pow-prod-up`

Counts

4 → 106

Calls

4 calls:

9.0ms	(+ 1 (tan x))
21.0ms	(* (- (tan x)) (+ 1 (tan x)))
18.0ms	(+ (* 1 (+ 1 (tan x))) (* (- (tan x)) (+ 1 (tan x))))
29.0ms	(* (tan x) (tan x))

series222.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ 1 (tan x))
68.0ms	(* (- (tan x)) (+ 1 (tan x)))
61.0ms	(+ (* 1 (+ 1 (tan x))) (* (- (tan x)) (+ 1 (tan x))))
58.0ms	(* (tan x) (tan x))

simplify2.0s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	2522
1	681
0	197

prune580.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ 1 (tan x))
0.1b	(+ (+ (+ 1 (tan x)) (- (tan x))) (* (tan x) (- (tan x))))
0.3b	(* (tan x) (- (tan x)))
0.3b	(* (tan x) (tan x))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

30×	`tan-quot`
22×	`add-log-exp`
18×	`frac-add`
16×	`add-sqr-sqrt` `distribute-neg-frac`
14×	`*-un-lft-identity`
13×	`pow1` `associate-r`
12×	`sum-log` `add-cube-cbrt`
8×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
6×	`frac-times` `associate-l` `associate-l/` `associate-r/`
4×	`insert-posit16`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `swap-sqr` `distribute-rgt-neg-out` `associate-+l-`
2×	`+-commutative` `unsub-neg` `pow-prod-down` `neg-log` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `neg-sub0` `associate-+l+` `associate-+r-` `neg-mul-1` `pow-plus` `pow-sqr` `pow-prod-up` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

5.0ms	(+ 1 (tan x))
112.0ms	(+ (+ (+ 1 (tan x)) (- (tan x))) (* (tan x) (- (tan x))))
38.0ms	(* (tan x) (- (tan x)))
28.0ms	(* (tan x) (tan x))

series188.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ 1 (tan x))
52.0ms	(+ (+ (+ 1 (tan x)) (- (tan x))) (* (tan x) (- (tan x))))
59.0ms	(* (tan x) (- (tan x)))
57.0ms	(* (tan x) (tan x))

simplify1.8s

Counts

118 → 118

Iterations

Iter	Nodes
done	5002
2	2145
1	590
0	207

prune490.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

regimes302.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	22
1	22
0	14

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.6s	1443×	body	1280	valid
1.7s	1183×	body	640	valid
1.1s	4414×	body	80	valid
494.0ms	647×	body	320	valid
202.0ms	313×	body	160	valid