Details

sample543.0ms

Algorithm

intervals

Results

323.0ms	114×	body	2560	valid
118.0ms	69×	body	1280	valid
64.0ms	47×	body	640	valid
12.0ms	19×	body	320	valid
11.0ms	256×	pre	80	true
2.0ms	5×	body	160	valid
0.0ms	2×	body	80	valid

simplify30.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.8b

localize11.0ms

Local error

Found 2 expressions with local error:

2.1b	(- (/ 1 x) (/ 1 (tan x)))
0.0b	(/ 1 (tan x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

279×	`times-frac`
232×	`add-sqr-sqrt`
224×	`*-un-lft-identity`
208×	`add-cube-cbrt`
182×	`prod-diff`
33×	`div-inv`
14×	`tan-quot` `associate-/r/`
13×	`fma-neg`
9×	`difference-of-squares`
7×	`distribute-lft-out--`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/r` `associate-/l`
2×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `1-exp` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

2 → 262

Calls

2 calls:

Slowest

19.0ms	(- (/ 1 x) (/ 1 (tan x)))
6.0ms	(/ 1 (tan x))

series127.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

70.0ms	(- (/ 1 x) (/ 1 (tan x)))
57.0ms	(/ 1 (tan x))

simplify1.4s

Counts: 268 → 268

prune2.3s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 3 expressions with local error:

0.3b	(* x (+ 1/3 (* 1/45 (* x x))))
0.2b	(* 1/45 (* x x))
0.0b	(fma (pow x 5) 2/945 (* x (+ 1/3 (* 1/45 (* x x)))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `fma-udef`

Counts

3 → 58

Calls

3 calls:

Slowest

25.0ms	(* 1/45 (* x x))
18.0ms	(* x (+ 1/3 (* 1/45 (* x x))))
0.0ms	(fma (pow x 5) 2/945 (* x (+ 1/3 (* 1/45 (* x x)))))

series240.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

130.0ms	(* x (+ 1/3 (* 1/45 (* x x))))
82.0ms	(fma (pow x 5) 2/945 (* x (+ 1/3 (* 1/45 (* x x)))))
28.0ms	(* 1/45 (* x x))

simplify1.4s

Counts: 67 → 67

prune587.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (* x (fma 1/91125 (* (* x (* x x)) (* x (* x x))) 1/27)) (+ (* 1/3 1/3) (- (* (* 1/45 (* x x)) (* 1/45 (* x x))) (* 1/3 (* 1/45 (* x x))))))
0.3b	(* x (fma 1/91125 (* (* x (* x x)) (* x (* x x))) 1/27))
0.2b	(* 1/3 (* 1/45 (* x x)))
0.2b	(* 1/45 (* x x))

rewrite444.0ms

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`
9×	`associate-l`
5×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `times-frac` `-commutative`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `fma-udef` `unswap-sqr`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 95

Calls

4 calls:

Slowest

362.0ms	(/ (* x (fma 1/91125 (* (* x (* x x)) (* x (* x x))) 1/27)) (+ (* 1/3 1/3) (- (* (* 1/45 (* x x)) (* 1/45 (* x x))) (* 1/3 (* 1/45 (* x x))))))
51.0ms	(* 1/3 (* 1/45 (* x x)))
18.0ms	(* 1/45 (* x x))
11.0ms	(* x (fma 1/91125 (* (* x (* x x)) (* x (* x x))) 1/27))

series776.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

356.0ms	(/ (* x (fma 1/91125 (* (* x (* x x)) (* x (* x x))) 1/27)) (+ (* 1/3 1/3) (- (* (* 1/45 (* x x)) (* 1/45 (* x x))) (* 1/3 (* 1/45 (* x x))))))
351.0ms	(* x (fma 1/91125 (* (* x (* x x)) (* x (* x x))) 1/27))
41.0ms	(* 1/3 (* 1/45 (* x x)))
28.0ms	(* 1/45 (* x x))

simplify3.3s

Counts: 107 → 107

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/91125 (* x x))
0.1b	(* (* 1/91125 (* x x)) (* x x))
0.0b	(fma (pow x 5) 2/945 (/ x (/ (fma (* x x) (fma (* x x) 1/2025 -1/135) 1/9) (fma (* (* 1/91125 (* x x)) (* x x)) (* x x) 1/27))))
0.0b	(fma (* x x) (fma (* x x) 1/2025 -1/135) 1/9)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1` `add-cbrt-cube` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative` `fma-udef`
1×	`unswap-sqr`

Counts

4 → 75

Calls

4 calls:

Slowest

55.0ms	(* (* 1/91125 (* x x)) (* x x))
18.0ms	(* 1/91125 (* x x))
0.0ms	(fma (pow x 5) 2/945 (/ x (/ (fma (* x x) (fma (* x x) 1/2025 -1/135) 1/9) (fma (* (* 1/91125 (* x x)) (* x x)) (* x x) 1/27))))
0.0ms	(fma (* x x) (fma (* x x) 1/2025 -1/135) 1/9)

series337.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

170.0ms	(fma (pow x 5) 2/945 (/ x (/ (fma (* x x) (fma (* x x) 1/2025 -1/135) 1/9) (fma (* (* 1/91125 (* x x)) (* x x)) (* x x) 1/27))))
74.0ms	(* (* 1/91125 (* x x)) (* x x))
54.0ms	(fma (* x x) (fma (* x x) 1/2025 -1/135) 1/9)
39.0ms	(* 1/91125 (* x x))

simplify1.2s

Counts: 87 → 87

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch6.0ms

end0.0ms

sample16.1s

Algorithm

intervals

Results

9.7s	3303×	body	2560	valid
3.8s	2452×	body	1280	valid
1.1s	1218×	body	640	valid
758.0ms	8000×	pre	80	true
373.0ms	617×	body	320	valid
133.0ms	369×	body	160	valid
10.0ms	41×	body	80	valid