Details

sample388.0ms

Algorithm

intervals

Results

218.0ms	97×	body	2560	valid
112.0ms	85×	body	1280	valid
27.0ms	44×	body	640	valid
9.0ms	20×	body	320	valid
9.0ms	256×	pre	80	true
3.0ms	9×	body	160	valid
0.0ms	1×	body	80	valid

simplify17.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize57.0ms

Local error

Found 2 expressions with local error:

2.5b	(- (/ 1 x) (/ 1 (tan x)))
0.0b	(/ 1 (tan x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
12×	`add-cube-cbrt`
9×	`difference-of-squares`
7×	`distribute-lft-out--`
6×	`add-exp-log`
5×	`div-inv`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/r` `associate-/l`
2×	`div-exp` `insert-posit16`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `1-exp` `tan-quot` `associate-/r/` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

2 → 63

Calls

2 calls:

Slowest

25.0ms	(- (/ 1 x) (/ 1 (tan x)))
6.0ms	(/ 1 (tan x))

series129.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

81.0ms	(- (/ 1 x) (/ 1 (tan x)))
48.0ms	(/ 1 (tan x))

simplify743.0ms

Counts: 90 → 69

prune390.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (+ 1/3 (* (* x x) 1/45)))
0.2b	(* (* x x) 1/45)
0.1b	(* 2/945 (pow x 5))
0.0b	(+ 1/3 (* (* x x) 1/45))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

Slowest

20.0ms	(* x (+ 1/3 (* (* x x) 1/45)))
19.0ms	(* (* x x) 1/45)
14.0ms	(* 2/945 (pow x 5))
10.0ms	(+ 1/3 (* (* x x) 1/45))

series328.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

100.0ms	(* x (+ 1/3 (* (* x x) 1/45)))
96.0ms	(* 2/945 (pow x 5))
87.0ms	(+ 1/3 (* (* x x) 1/45))
44.0ms	(* (* x x) 1/45)

simplify374.0ms

Counts: 98 → 93

prune752.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (+ 1/27 (* (* (* x x) 1/91125) (* (* x x) (* x x)))))
0.4b	(/ (* x (+ 1/27 (* (* (* x x) 1/91125) (* (* x x) (* x x))))) (+ (* 1/3 1/3) (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 (* (* x x) 1/45)))))
0.2b	(* 1/3 (* (* x x) 1/45))
0.2b	(* (* x x) 1/45)

rewrite556.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

Slowest

478.0ms	(/ (* x (+ 1/27 (* (* (* x x) 1/91125) (* (* x x) (* x x))))) (+ (* 1/3 1/3) (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 (* (* x x) 1/45)))))
46.0ms	(* 1/3 (* (* x x) 1/45))
16.0ms	(* (* x x) 1/45)
15.0ms	(* x (+ 1/27 (* (* (* x x) 1/91125) (* (* x x) (* x x)))))

series752.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

405.0ms	(/ (* x (+ 1/27 (* (* (* x x) 1/91125) (* (* x x) (* x x))))) (+ (* 1/3 1/3) (- (* (* (* x x) 1/45) (* (* x x) 1/45)) (* 1/3 (* (* x x) 1/45)))))
254.0ms	(* x (+ 1/27 (* (* (* x x) 1/91125) (* (* x x) (* x x)))))
48.0ms	(* 1/3 (* (* x x) 1/45))
45.0ms	(* (* x x) 1/45)

simplify913.0ms

Counts: 108 → 103

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 1/45 (* x x)) (- (* 1/45 (* x x)) 1/3))
0.2b	(* 1/45 (* x x))
0.2b	(* 1/45 (* x x))
0.1b	(* x (* x x))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1`
28×	`add-cbrt-cube` `add-exp-log`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-l`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
5×	`pow-prod-up`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`pow2` `pow-plus` `flip3--` `cube-unmult` `pow-sqr` `flip--`

Counts

4 → 93

Calls

4 calls:

Slowest

101.0ms	(* (* 1/45 (* x x)) (- (* 1/45 (* x x)) 1/3))
19.0ms	(* 1/45 (* x x))
19.0ms	(* x (* x x))
18.0ms	(* 1/45 (* x x))

series272.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

157.0ms	(* (* 1/45 (* x x)) (- (* 1/45 (* x x)) 1/3))
43.0ms	(* x (* x x))
36.0ms	(* 1/45 (* x x))
36.0ms	(* 1/45 (* x x))

simplify259.0ms

Counts: 107 → 105

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch8.0ms

end0.0ms

sample13.9s

Algorithm

intervals

Results

8.4s	3258×	body	2560	valid
3.6s	2532×	body	1280	valid
966.0ms	1242×	body	640	valid
367.0ms	625×	body	320	valid
272.0ms	8000×	pre	80	true
102.0ms	309×	body	160	valid
5.0ms	34×	body	80	valid