Details

sample451.0ms

Algorithm

intervals

Results

169.0ms	46×	body	1280	valid
61.0ms	133×	body	80	valid
53.0ms	51×	body	640	valid
32.0ms	6×	body	160	valid
17.0ms	20×	body	320	valid

simplify34.0ms

Counts

1 → 1

Iterations

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

prune658.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

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:

24.0ms	(- 1 (* (tan x) (tan x)))
30.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
28.0ms	(* (tan x) (tan x))
30.0ms	(* (tan x) (tan x))

series441.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(- 1 (* (tan x) (tan x)))
203.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
55.0ms	(* (tan x) (tan x))
78.0ms	(* (tan x) (tan x))

simplify1.1s

Counts

126 → 126

Iterations

Iter	Nodes
done	2000
3	2000
2	950
1	374
0	144

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
37×	`times-frac`
30×	`add-cube-cbrt`
27×	`associate-r`
16×	`difference-of-squares`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out--`
7×	`associate-l`
6×	`associate-/l*` `add-log-exp`
4×	`flip3-+` `tan-quot` `associate-/r/` `flip-+` `insert-posit16`
3×	`frac-times` `associate-/r` `swap-sqr` `associate-l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `div-inv` `flip--` `associate-/l/`
1×	`pow2` `clear-num` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `div-sub` `pow-sqr` `pow-prod-up` `distribute-lft-out`

Counts

4 → 139

Calls

4 calls:

8.0ms	(- 1 (tan x))
31.0ms	(/ (- 1 (tan x)) (+ 1 (* (tan x) (tan x))))
63.0ms	(* (+ (tan x) 1) (/ (- 1 (tan x)) (+ 1 (* (tan x) (tan x)))))
17.0ms	(* (tan x) (tan x))

series342.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- 1 (tan x))
84.0ms	(/ (- 1 (tan x)) (+ 1 (* (tan x) (tan x))))
179.0ms	(* (+ (tan x) 1) (/ (- 1 (tan x)) (+ 1 (* (tan x) (tan x)))))
57.0ms	(* (tan x) (tan x))

simplify1.7s

Counts

151 → 151

Iterations

Iter	Nodes
done	2002
3	2002
2	1917
1	593
0	213

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (tan x) (tan x))
0.3b	(* (tan x) (tan x))
0.3b	(* (tan x) (tan x))
0.4b	(- (/ 1 (+ 1 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1 (* (tan x) (tan x)))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

13.0ms	(* (tan x) (tan x))
13.0ms	(* (tan x) (tan x))
16.0ms	(* (tan x) (tan x))
28.0ms	(- (/ 1 (+ 1 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1 (* (tan x) (tan x)))))

series325.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (tan x) (tan x))
57.0ms	(* (tan x) (tan x))
59.0ms	(* (tan x) (tan x))
150.0ms	(- (/ 1 (+ 1 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1 (* (tan x) (tan x)))))

simplify1.3s

Counts

127 → 127

Iterations

Iter	Nodes
done	2000
3	2000
2	902
1	308
0	121

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
0.3b	(log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))
0.3b	(* (tan x) (tan x))
0.3b	(* (tan x) (tan x))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

16.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
26.0ms	(log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))
17.0ms	(* (tan x) (tan x))
14.0ms	(* (tan x) (tan x))

series283.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
92.0ms	(log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))
59.0ms	(* (tan x) (tan x))
48.0ms	(* (tan x) (tan x))

simplify1.1s

Counts

146 → 146

Iterations

Iter	Nodes
done	2001
3	2001
2	993
1	423
0	198

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes241.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample6.3s

Algorithm

intervals

Results

3.2s	1521×	body	1280	valid
1.3s	1284×	body	640	valid
878.0ms	4276×	body	80	valid
526.0ms	631×	body	320	valid
164.0ms	288×	body	160	valid