Details

sample292.0ms

Algorithm

intervals

Results

121.0ms	52×	body	1280	valid
40.0ms	34×	body	640	valid
27.0ms	144×	body	80	valid
11.0ms	15×	body	320	valid
5.0ms	11×	body	160	valid

simplify58.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	38
5	38
4	36
3	28
2	23
1	15
0	7

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize61.0ms

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))

rewrite78.0ms

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:

28.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
5.0ms	(- 1 (* (tan x) (tan x)))
14.0ms	(* (tan x) (tan x))
19.0ms	(* (tan x) (tan x))

series293.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
66.0ms	(- 1 (* (tan x) (tan x)))
56.0ms	(* (tan x) (tan x))
64.0ms	(* (tan x) (tan x))

simplify888.0ms

Counts

126 → 126

Iterations

Iter	Nodes
3	2408
2	928
1	357
0	144

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 231

Calls

4 calls:

9.0ms	(- 1 (tan x))
54.0ms	(/ (+ 1 (* (tan x) (tan x))) (- 1 (tan x)))
54.0ms	(/ (+ 1 (tan x)) (/ (+ 1 (* (tan x) (tan x))) (- 1 (tan x))))
27.0ms	(* (tan x) (tan x))

series281.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- 1 (tan x))
68.0ms	(/ (+ 1 (* (tan x) (tan x))) (- 1 (tan x)))
143.0ms	(/ (+ 1 (tan x)) (/ (+ 1 (* (tan x) (tan x))) (- 1 (tan x))))
38.0ms	(* (tan x) (tan x))

simplify940.0ms

Counts

243 → 243

Iterations

Iter	Nodes
2	2583
1	859
0	325

prune2.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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

rewrite120.0ms

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:

14.0ms	(* (tan x) (tan x))
24.0ms	(* (tan x) (tan x))
15.0ms	(* (tan x) (tan x))
64.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (tan x) (tan x))
45.0ms	(* (tan x) (tan x))
57.0ms	(* (tan x) (tan x))
78.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))

simplify3.0s

Counts

178 → 178

Iterations

Iter	Nodes
4	4110
3	1843
2	877
1	299
0	108

prune1.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

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

rewrite155.0ms

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:

28.0ms	(* (tan x) (tan x))
15.0ms	(* (tan x) (tan x))
14.0ms	(* (tan x) (tan x))
93.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (tan x) (tan x))
59.0ms	(* (tan x) (tan x))
33.0ms	(* (tan x) (tan x))
88.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))

simplify2.6s

Counts

178 → 178

Iterations

Iter	Nodes
4	4110
3	1843
2	877
1	299
0	108

prune1.6s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes292.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	12
1	12
0	9

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.4s	1510×	body	1280	valid
1.7s	1274×	body	640	valid
814.0ms	4228×	body	80	valid
549.0ms	655×	body	320	valid
239.0ms	333×	body	160	valid