Details

sample575.0ms

Algorithm

intervals

Results

208.0ms	58×	body	1280	valid
122.0ms	48×	body	640	valid
29.0ms	120×	body	80	valid
14.0ms	20×	body	320	valid
5.0ms	10×	body	160	valid

simplify105.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	44
5	44
4	39
3	31
2	24
1	15
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize48.0ms

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))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
24×	`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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `fma-neg` `prod-diff`
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 → 128

Calls

4 calls:

11.0ms	(- 1 (* (tan x) (tan x)))
31.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
16.0ms	(* (tan x) (tan x))
17.0ms	(* (tan x) (tan x))

series349.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- 1 (* (tan x) (tan x)))
145.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
66.0ms	(* (tan x) (tan x))
90.0ms	(* (tan x) (tan x))

simplify947.0ms

Counts

140 → 140

Iterations

Iter	Nodes
3	2738
2	990
1	384
0	157

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`add-cube-cbrt`
27×	`prod-diff`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`frac-times` `associate-r`
8×	`associate-/l/`
7×	`flip3-+` `flip3--` `associate-l` `flip-+` `flip--`
6×	`add-log-exp`
5×	`associate-l/` `associate-r/`
4×	`expm1-log1p-u` `tan-quot` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
3×	`associate-/r*` `sub-neg` `times-frac` `fma-neg` `swap-sqr` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`pow2` `clear-num` `frac-2neg` `pow-plus` `diff-log` `pow-sqr` `pow-prod-up` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 150

Calls

4 calls:

22.0ms	(/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x))))
5.0ms	(- 1 (tan x))
38.0ms	(* (+ 1 (tan x)) (- 1 (tan x)))
14.0ms	(* (tan x) (tan x))

series348.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x))))
39.0ms	(- 1 (tan x))
83.0ms	(* (+ 1 (tan x)) (- 1 (tan x)))
46.0ms	(* (tan x) (tan x))

simplify709.0ms

Counts

162 → 162

Iterations

Iter	Nodes
2	2215
1	695
0	234

prune1.6s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (tan x) (tan x))
0.3b	(* (tan x) (tan x))
0.4b	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
0.4b	(* (* (tan x) (tan x)) (* (tan x) (tan x)))

rewrite662.0ms

Algorithm

rewrite-expression-head

Rules

240×	`pow1`
74×	`pow-prod-up`
72×	`tan-quot`
48×	`pow-prod-down`
46×	`pow-sqr`
38×	`pow-plus`
36×	`frac-times`
32×	`add-cbrt-cube` `add-exp-log`
28×	`pow2`
24×	`associate-l/` `associate-r/`
18×	`prod-exp` `cbrt-unprod`
16×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
8×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 224

Calls

4 calls:

16.0ms	(* (tan x) (tan x))
29.0ms	(* (tan x) (tan x))
109.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
504.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (tan x) (tan x))
54.0ms	(* (tan x) (tan x))
72.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
78.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))

simplify1.0s

Counts

236 → 236

Iterations

Iter	Nodes
3	2157
2	899
1	308
0	112

prune3.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
0.3b	(* (tan x) (tan x))
0.3b	(* (tan x) (tan x))
0.4b	(log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))

rewrite104.0ms

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×	`expm1-log1p-u` `associate-/r/` `insert-posit16` `log1p-expm1-u` `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 → 142

Calls

4 calls:

27.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
29.0ms	(* (tan x) (tan x))
29.0ms	(* (tan x) (tan x))
17.0ms	(log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))

series322.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
36.0ms	(* (tan x) (tan x))
43.0ms	(* (tan x) (tan x))
118.0ms	(log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))

simplify1.1s

Counts

154 → 154

Iterations

Iter	Nodes
3	2580
2	1028
1	421
0	204

prune1.6s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes371.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	24
1	24
0	17

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.2s	1527×	body	1280	valid
1.9s	1280×	body	640	valid
1.3s	4294×	body	80	valid
465.0ms	625×	body	320	valid
116.0ms	274×	body	160	valid