Details

sample264.0ms

Algorithm

intervals

Results

86.0ms	48×	body	1280	valid
33.0ms	39×	body	640	valid
22.0ms	132×	body	80	valid
13.0ms	23×	body	320	valid
4.0ms	14×	body	160	valid

simplify69.0ms

Counts

1 → 1

Iterations

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

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite150.0ms

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:

33.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
13.0ms	(- 1 (* (tan x) (tan x)))
32.0ms	(* (tan x) (tan x))
67.0ms	(* (tan x) (tan x))

series473.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
93.0ms	(- 1 (* (tan x) (tan x)))
59.0ms	(* (tan x) (tan x))
86.0ms	(* (tan x) (tan x))

simplify3.0s

Counts

126 → 126

Iterations

Iter	Nodes
3	2613
2	939
1	356
0	144

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(- 1 (/ (* (tan x) (sin x)) (cos x)))
0.2b	(* (tan x) (sin x))
0.2b	(/ (* (tan x) (sin x)) (cos x))
0.3b	(* (tan x) (tan x))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

18.0ms	(- 1 (/ (* (tan x) (sin x)) (cos x)))
25.0ms	(* (tan x) (sin x))
27.0ms	(/ (* (tan x) (sin x)) (cos x))
15.0ms	(* (tan x) (tan x))

series277.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- 1 (/ (* (tan x) (sin x)) (cos x)))
66.0ms	(* (tan x) (sin x))
90.0ms	(/ (* (tan x) (sin x)) (cos x))
42.0ms	(* (tan x) (tan x))

simplify10.5s

Counts

100 → 100

Iterations

Iter	Nodes
3	4365
2	1100
1	325
0	138

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(- 1 (/ (tan x) (/ (cos x) (sin x))))
0.2b	(/ (cos x) (sin x))
0.2b	(/ (tan x) (/ (cos x) (sin x)))
0.3b	(* (tan x) (tan x))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 149

Calls

4 calls:

26.0ms	(- 1 (/ (tan x) (/ (cos x) (sin x))))
19.0ms	(/ (cos x) (sin x))
9.0ms	(/ (tan x) (/ (cos x) (sin x)))
17.0ms	(* (tan x) (tan x))

series222.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- 1 (/ (tan x) (/ (cos x) (sin x))))
32.0ms	(/ (cos x) (sin x))
76.0ms	(/ (tan x) (/ (cos x) (sin x)))
42.0ms	(* (tan x) (tan x))

simplify7.0s

Counts

161 → 161

Iterations

Iter	Nodes
3	6396
2	1846
1	590
0	242

prune1.6s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(- 1 (* (/ 1 (cos x)) (* (sin x) (tan x))))
0.2b	(* (sin x) (tan x))
0.2b	(* (/ 1 (cos x)) (* (sin x) (tan x)))
0.3b	(* (tan x) (tan x))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log`
21×	`add-sqr-sqrt`
20×	`add-cbrt-cube`
19×	`associate-l`
18×	`pow1`
17×	`*-un-lft-identity` `add-cube-cbrt`
14×	`prod-exp`
9×	`times-frac`
8×	`cbrt-unprod`
7×	`associate-r` `tan-quot`
6×	`add-log-exp`
5×	`pow-prod-down` `associate-*r/`
4×	`div-exp` `insert-posit16`
3×	`swap-sqr` `*-commutative`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `associate-*l/` `unswap-sqr`
1×	`pow2` `sub-neg` `pow-plus` `flip3--` `diff-log` `pow-sqr` `pow-prod-up` `div-inv` `flip--`

Counts

4 → 102

Calls

4 calls:

6.0ms	(- 1 (* (/ 1 (cos x)) (* (sin x) (tan x))))
12.0ms	(* (sin x) (tan x))
44.0ms	(* (/ 1 (cos x)) (* (sin x) (tan x)))
29.0ms	(* (tan x) (tan x))

series242.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- 1 (* (/ 1 (cos x)) (* (sin x) (tan x))))
50.0ms	(* (sin x) (tan x))
80.0ms	(* (/ 1 (cos x)) (* (sin x) (tan x)))
43.0ms	(* (tan x) (tan x))

simplify4.9s

Counts

114 → 114

Iterations

Iter	Nodes
3	3410
2	1249
1	422
0	163

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes214.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	17
1	17
0	14

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.2s	1476×	body	1280	valid
1.7s	1281×	body	640	valid
920.0ms	613×	body	320	valid
886.0ms	4330×	body	80	valid
143.0ms	300×	body	160	valid