Details

sample466.0ms

Algorithm

intervals

Results

93.0ms	131×	body	80	valid
88.0ms	50×	body	1280	valid
82.0ms	39×	body	640	valid
26.0ms	27×	body	320	valid
5.0ms	9×	body	160	valid

simplify108.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

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:

Slowest

30.0ms	(* (tan x) (tan x))
26.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
25.0ms	(* (tan x) (tan x))
9.0ms	(- 1 (* (tan x) (tan x)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

131.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
82.0ms	(* (tan x) (tan x))
58.0ms	(* (tan x) (tan x))
48.0ms	(- 1 (* (tan x) (tan x)))

simplify1.1s

Counts: 126 → 126

prune1.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

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:

Slowest

40.0ms	(* (+ 1 (tan x)) (- 1 (tan x)))
14.0ms	(* (tan x) (tan x))
13.0ms	(+ 1 (tan x))
9.0ms	(- 1 (tan x))

series166.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

95.0ms	(* (+ 1 (tan x)) (- 1 (tan x)))
32.0ms	(* (tan x) (tan x))
22.0ms	(- 1 (tan x))
17.0ms	(+ 1 (tan x))

simplify1.3s

Counts: 105 → 105

prune1.0s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

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

rewrite198.0ms

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×	`*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

4 → 216

Calls

4 calls:

Slowest

85.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
72.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
19.0ms	(* (tan x) (tan x))
14.0ms	(* (tan x) (tan x))

series218.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

61.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
59.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
57.0ms	(* (tan x) (tan x))
41.0ms	(* (tan x) (tan x))

simplify2.1s

Counts: 228 → 228

prune2.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

136×	`pow1`
44×	`tan-quot`
39×	`pow-prod-up`
26×	`pow-prod-down`
25×	`pow-sqr`
22×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
21×	`pow-plus`
20×	`frac-times`
16×	`pow2` `*-un-lft-identity` `add-cube-cbrt`
14×	`associate-l/` `associate-r/`
11×	`prod-exp` `cbrt-unprod`
10×	`swap-sqr` `associate-r` `associate-l`
4×	`*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

4 → 166

Calls

4 calls:

Slowest

73.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
28.0ms	(* (tan x) (tan x))
28.0ms	(* (tan x) (tan x))
27.0ms	(* (tan x) (tan x))

series208.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

84.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
51.0ms	(* (tan x) (tan x))
42.0ms	(* (tan x) (tan x))
32.0ms	(* (tan x) (tan x))

simplify2.2s

Counts: 178 → 178

prune1.7s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes294.0ms

Accuracy

0% (0.3b remaining)

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

bsearch4.0ms

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.5s	1549×	body	1280	valid
1.3s	1298×	body	640	valid
836.0ms	4215×	body	80	valid
793.0ms	610×	body	320	valid
157.0ms	328×	body	160	valid