Details

sample279.0ms

Algorithm

intervals

Results

79.0ms	39×	body	1280	valid
27.0ms	41×	body	640	valid
20.0ms	143×	body	80	valid
8.0ms	17×	body	320	valid
5.0ms	16×	body	160	valid

simplify28.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	36
5	36
4	34
3	26
2	21
1	13
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(- 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))

rewrite68.0ms

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:

4.0ms	(- 1 (* (tan x) (tan x)))
14.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
14.0ms	(* (tan x) (tan x))
32.0ms	(* (tan x) (tan x))

series219.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- 1 (* (tan x) (tan x)))
98.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
33.0ms	(* (tan x) (tan x))
52.0ms	(* (tan x) (tan x))

simplify4.4s

Counts

126 → 126

Iterations

Iter	Nodes
3	2955
2	941
1	358
0	144

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

23.0ms	(/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x))))
4.0ms	(+ 1 (tan x))
27.0ms	(* (+ 1 (tan x)) (- 1 (tan x)))
24.0ms	(* (tan x) (tan x))

series267.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x))))
18.0ms	(+ 1 (tan x))
74.0ms	(* (+ 1 (tan x)) (- 1 (tan x)))
48.0ms	(* (tan x) (tan x))

simplify1.1m

Counts

121 → 121

Iterations

Iter	Nodes
3	7852
2	1841
1	518
0	181

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

8.0ms	(- (* 1 1) (* (tan x) (tan x)))
29.0ms	(/ (* (- (* 1 1) (* (tan x) (tan x))) (- 1 (tan x))) (* (+ 1 (* (tan x) (tan x))) (- 1 (tan x))))
14.0ms	(* (tan x) (tan x))
17.0ms	(* (tan x) (tan x))

series214.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* 1 1) (* (tan x) (tan x)))
82.0ms	(/ (* (- (* 1 1) (* (tan x) (tan x))) (- 1 (tan x))) (* (+ 1 (* (tan x) (tan x))) (- 1 (tan x))))
45.0ms	(* (tan x) (tan x))
37.0ms	(* (tan x) (tan x))

simplify3.1s

Counts

122 → 122

Iterations

Iter	Nodes
2	3075
1	536
0	162

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

37×	`frac-times`
29×	`add-cbrt-cube` `add-exp-log`
26×	`associate-/l/`
24×	`flip3--` `flip--`
19×	`associate-*l/`
17×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`flip3-+` `flip-+`
13×	`pow1` `associate-*r/`
11×	`prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt`
9×	`associate-r`
8×	`associate-/r/`
7×	`associate-l`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`tan-quot` `insert-posit16`
3×	`swap-sqr`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-prod-down` `*-commutative` `distribute-lft-out` `difference-of-squares` `unswap-sqr`
1×	`pow2` `+-commutative` `clear-num` `associate-/r` `sum-log` `frac-2neg` `times-frac` `pow-plus` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l` `distribute-lft-out--`

Counts

4 → 137

Calls

4 calls:

72.0ms	(/ (* (* (+ 1 (tan x)) (- 1 (tan x))) (- 1 (tan x))) (* (+ 1 (* (tan x) (tan x))) (- 1 (tan x))))
9.0ms	(+ 1 (tan x))
47.0ms	(* (+ 1 (tan x)) (- 1 (tan x)))
28.0ms	(* (tan x) (tan x))

series312.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(/ (* (* (+ 1 (tan x)) (- 1 (tan x))) (- 1 (tan x))) (* (+ 1 (* (tan x) (tan x))) (- 1 (tan x))))
29.0ms	(+ 1 (tan x))
98.0ms	(* (+ 1 (tan x)) (- 1 (tan x)))
47.0ms	(* (tan x) (tan x))

simplify3.2s

Counts

149 → 149

Iterations

Iter	Nodes
2	4303
1	815
0	231

prune1.6s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes287.0ms

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
2	16
1	16
0	11

end0.0ms

sample6.4s

Algorithm

intervals

Results

3.1s	1502×	body	1280	valid
1.5s	1267×	body	640	valid
940.0ms	4312×	body	80	valid
556.0ms	624×	body	320	valid
164.0ms	295×	body	160	valid