Details

sample447.0ms

Algorithm

intervals

Results

270.0ms	92×	body	2560	valid
98.0ms	78×	body	1280	valid
34.0ms	45×	body	640	valid
13.0ms	19×	body	320	valid
11.0ms	256×	pre	80	true
6.0ms	18×	body	160	valid
1.0ms	4×	body	80	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	14
2	14
1	10
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize58.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (tan x))
4.0b	(- (/ 1 x) (/ 1 (tan x)))

rewrite52.0ms

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:

6.0ms	(/ 1 (tan x))
39.0ms	(- (/ 1 x) (/ 1 (tan x)))

series144.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ 1 (tan x))
94.0ms	(- (/ 1 x) (/ 1 (tan x)))

simplify1.4s

Counts

268 → 268

Iterations

Iter	Nodes
3	2873
2	1360
1	758
0	342

prune2.3s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (pow x 5) 2/945 (* x (+ (* 1/45 (* x x)) 1/3)))
0.0b	(+ (* 1/45 (* x x)) 1/3)
0.1b	(* 1/45 (* x x))
0.3b	(* x (+ (* 1/45 (* x x)) 1/3))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

0.0ms	(fma (pow x 5) 2/945 (* x (+ (* 1/45 (* x x)) 1/3)))
27.0ms	(+ (* 1/45 (* x x)) 1/3)
27.0ms	(* 1/45 (* x x))
86.0ms	(* x (+ (* 1/45 (* x x)) 1/3))

series287.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(fma (pow x 5) 2/945 (* x (+ (* 1/45 (* x x)) 1/3)))
92.0ms	(+ (* 1/45 (* x x)) 1/3)
33.0ms	(* 1/45 (* x x))
95.0ms	(* x (+ (* 1/45 (* x x)) 1/3))

simplify1.4s

Counts

85 → 85

Iterations

Iter	Nodes
3	3375
2	811
1	270
0	111

prune924.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/45 (* x x))
0.1b	(* (* 1/45 (* x x)) (* 1/45 (* x x)))
0.3b	(* x (- (* (* 1/45 (* x x)) (* 1/45 (* x x))) (* 1/3 1/3)))
0.4b	(/ (* x (- (* (* 1/45 (* x x)) (* 1/45 (* x x))) (* 1/3 1/3))) (- (* 1/45 (* x x)) 1/3))

rewrite772.0ms

Algorithm

rewrite-expression-head

Rules

125×	`pow1`
70×	`pow-prod-down`
52×	`add-cbrt-cube` `add-exp-log`
32×	`prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `pow-sqr` `pow-prod-up` `add-cube-cbrt`
7×	`associate-l`
6×	`associate-r`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `associate-/r` `distribute-lft-in` `times-frac` `pow-plus` `flip3--` `-commutative` `flip--`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-diff` `associate-/r/` `unswap-sqr` `associate-/l/`
1×	`pow2` `clear-num` `frac-2neg` `swap-sqr` `div-inv` `associate-/l*` `difference-of-squares`

Counts

4 → 143

Calls

4 calls:

28.0ms	(* 1/45 (* x x))
94.0ms	(* (* 1/45 (* x x)) (* 1/45 (* x x)))
416.0ms	(* x (- (* (* 1/45 (* x x)) (* 1/45 (* x x))) (* 1/3 1/3)))
227.0ms	(/ (* x (- (* (* 1/45 (* x x)) (* 1/45 (* x x))) (* 1/3 1/3))) (- (* 1/45 (* x x)) 1/3))

series638.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* 1/45 (* x x))
52.0ms	(* (* 1/45 (* x x)) (* 1/45 (* x x)))
200.0ms	(* x (- (* (* 1/45 (* x x)) (* 1/45 (* x x))) (* 1/3 1/3)))
343.0ms	(/ (* x (- (* (* 1/45 (* x x)) (* 1/45 (* x x))) (* 1/3 1/3))) (- (* 1/45 (* x x)) 1/3))

simplify14.4s

Counts

155 → 155

Iterations

Iter	Nodes
3	12745
2	1952
1	529
0	183

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `fma-udef`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 131

Calls

4 calls:

0.0ms	(fma (pow x 5) 2/945 (/ x (/ 1 (fma (* x x) 1/45 1/3))))
4.0ms	(/ 1 (fma (* x x) 1/45 1/3))
16.0ms	(/ x (/ 1 (fma (* x x) 1/45 1/3)))
1.0ms	(fma (* x x) 1/45 1/3)

series327.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(fma (pow x 5) 2/945 (/ x (/ 1 (fma (* x x) 1/45 1/3))))
45.0ms	(/ 1 (fma (* x x) 1/45 1/3))
123.0ms	(/ x (/ 1 (fma (* x x) 1/45 1/3)))
59.0ms	(fma (* x x) 1/45 1/3)

simplify1.1s

Counts

143 → 143

Iterations

Iter	Nodes
3	2899
2	919
1	452
0	208

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	13
0	13

end0.0ms

sample14.8s

Algorithm

intervals

Results

9.3s	3261×	body	2560	valid
3.5s	2475×	body	1280	valid
985.0ms	1261×	body	640	valid
361.0ms	8000×	pre	80	true
339.0ms	620×	body	320	valid
108.0ms	321×	body	160	valid
10.0ms	62×	body	80	valid