Details

sample533.0ms

Algorithm

intervals

Results

355.0ms	115×	body	2560	valid
102.0ms	75×	body	1280	valid
37.0ms	43×	body	640	valid
11.0ms	256×	pre	80	true
10.0ms	16×	body	320	valid
3.0ms	6×	body	160	valid
0.0ms	1×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	10
0	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.0b

localize11.0ms

Local error

Found 1 expressions with local error:

1.6b	(- (/ 1 x) (/ 1 (tan x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`times-frac`
9×	`difference-of-squares`
7×	`distribute-lft-out--`
4×	`div-inv`
3×	`add-cube-cbrt` `add-log-exp`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `frac-sub` `insert-posit16` `flip--`

Counts

1 → 30

Calls

1 calls:

21.0ms

(- (/ 1 x) (/ 1 (tan x)))

series114.0ms

Counts

1 → 3

Calls

1 calls:

114.0ms

(- (/ 1 x) (/ 1 (tan x)))

simplify1.7s

Counts

33 → 33

Iterations

Iter	Nodes
done	5002
4	2213
3	908
2	440
1	176
0	82

prune133.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 5) 2/945)
0.1b	(* x (* x 1/45))
0.3b	(* x 1/45)
0.4b	(* x (+ 1/3 (* x (* x 1/45))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-l`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 87

Calls

4 calls:

15.0ms	(* (pow x 5) 2/945)
22.0ms	(* x (* x 1/45))
6.0ms	(* x 1/45)
12.0ms	(* x (+ 1/3 (* x (* x 1/45))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (pow x 5) 2/945)
30.0ms	(* x (* x 1/45))
23.0ms	(* x 1/45)
116.0ms	(* x (+ 1/3 (* x (* x 1/45))))

simplify1.2s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1366
1	351
0	132

prune426.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize116.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x 1/45)
0.3b	(* x 1/45)
0.4b	(* x (+ 1/27 (* (* (* x 1/45) x) (* (* (* x 1/45) x) (* (* x 1/45) x)))))
0.4b	(/ (* x (+ 1/27 (* (* (* x 1/45) x) (* (* (* x 1/45) x) (* (* x 1/45) x))))) (+ (* 1/3 1/3) (- (* (* x (* x 1/45)) (* x (* x 1/45))) (* 1/3 (* x (* x 1/45))))))

rewrite442.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-cbrt-cube` `add-exp-log`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1`
9×	`associate-r` `associate-l`
4×	`prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`associate-/r` `flip3-+` `times-frac` `pow-prod-down` `-commutative` `flip-+` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `div-inv` `associate-/l*`

Counts

4 → 87

Calls

4 calls:

5.0ms	(* x 1/45)
6.0ms	(* x 1/45)
11.0ms	(* x (+ 1/27 (* (* (* x 1/45) x) (* (* (* x 1/45) x) (* (* x 1/45) x)))))
418.0ms	(/ (* x (+ 1/27 (* (* (* x 1/45) x) (* (* (* x 1/45) x) (* (* x 1/45) x))))) (+ (* 1/3 1/3) (- (* (* x (* x 1/45)) (* x (* x 1/45))) (* 1/3 (* x (* x 1/45))))))

series633.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* x 1/45)
21.0ms	(* x 1/45)
259.0ms	(* x (+ 1/27 (* (* (* x 1/45) x) (* (* (* x 1/45) x) (* (* x 1/45) x)))))
336.0ms	(/ (* x (+ 1/27 (* (* (* x 1/45) x) (* (* (* x 1/45) x) (* (* x 1/45) x))))) (+ (* 1/3 1/3) (- (* (* x (* x 1/45)) (* x (* x 1/45))) (* 1/3 (* x (* x 1/45))))))

simplify1.8s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1962
1	420
0	135

prune553.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/45 x)
0.3b	(* 1/45 x)
0.3b	(* 1/45 x)
0.3b	(* 1/45 x)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

14.0ms	(* 1/45 x)
10.0ms	(* 1/45 x)
9.0ms	(* 1/45 x)
9.0ms	(* 1/45 x)

series85.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* 1/45 x)
20.0ms	(* 1/45 x)
19.0ms	(* 1/45 x)
22.0ms	(* 1/45 x)

simplify3.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
6	4541
5	1185
4	573
3	410
2	157
1	64
0	31

prune385.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	28
1	28
0	20

end0.0ms

sample14.4s

Algorithm

intervals

Results

8.3s	3223×	body	2560	valid
4.0s	2521×	body	1280	valid
1.1s	1251×	body	640	valid
382.0ms	655×	body	320	valid
305.0ms	8000×	pre	80	true
107.0ms	308×	body	160	valid
7.0ms	42×	body	80	valid