Details

sample55.0ms

Algorithm

intervals

Results

17.0ms	46×	body	640	valid
13.0ms	141×	body	80	valid
11.0ms	42×	body	320	valid
5.0ms	27×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	15
2	15
1	11
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x 1))
3.0b	(- (/ 1 (+ x 1)) (/ 1 x))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

370×	`*-un-lft-identity`
366×	`times-frac`
277×	`add-sqr-sqrt`
253×	`add-cube-cbrt`
234×	`prod-diff`
49×	`distribute-lft-out`
37×	`div-inv`
30×	`associate-/r/`
18×	`fma-neg`
15×	`flip3-+` `flip-+`
10×	`distribute-lft-out--`
9×	`difference-of-squares`
6×	`add-exp-log`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `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 → 327

Calls

2 calls:

9.0ms	(/ 1 (+ x 1))
79.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

series51.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(/ 1 (+ x 1))
35.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

simplify1.6s

Counts

333 → 333

Iterations

Iter	Nodes
3	3496
2	1474
1	798
0	358

prune2.8s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (- (- x x) 1) (fma x x x))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
24×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--`
8×	`associate-/l*` `difference-of-squares`
4×	`difference-of-sqr-1`
3×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
2×	`associate-/l/`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

1 → 53

Calls

1 calls:

77.0ms

(/ (- (- x x) 1) (fma x x x))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(/ (- (- x x) 1) (fma x x x))

simplify4.4s

Counts

56 → 56

Iterations

Iter	Nodes
5	5060
4	1932
3	856
2	394
1	215
0	97

prune446.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (- (- x x) 1) (fma x x x))) (cbrt (/ (- (- x x) 1) (fma x x x))))
14.2b	(cbrt (/ (- (- x x) 1) (fma x x x)))
14.2b	(cbrt (/ (- (- x x) 1) (fma x x x)))
14.2b	(cbrt (/ (- (- x x) 1) (fma x x x)))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

312×	`*-un-lft-identity`
256×	`cbrt-prod`
228×	`add-sqr-sqrt`
222×	`times-frac`
108×	`add-cube-cbrt`
99×	`distribute-lft-out--`
55×	`swap-sqr`
48×	`difference-of-squares`
31×	`associate-r` `associate-l`
27×	`difference-of-sqr-1`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 270

Calls

4 calls:

165.0ms	(* (cbrt (/ (- (- x x) 1) (fma x x x))) (cbrt (/ (- (- x x) 1) (fma x x x))))
23.0ms	(cbrt (/ (- (- x x) 1) (fma x x x)))
27.0ms	(cbrt (/ (- (- x x) 1) (fma x x x)))
22.0ms	(cbrt (/ (- (- x x) 1) (fma x x x)))

series720.0ms

Counts

4 → 12

Calls

4 calls:

456.0ms	(* (cbrt (/ (- (- x x) 1) (fma x x x))) (cbrt (/ (- (- x x) 1) (fma x x x))))
95.0ms	(cbrt (/ (- (- x x) 1) (fma x x x)))
89.0ms	(cbrt (/ (- (- x x) 1) (fma x x x)))
79.0ms	(cbrt (/ (- (- x x) 1) (fma x x x)))

simplify1.6s

Counts

282 → 282

Iterations

Iter	Nodes
3	3210
2	1186
1	490
0	252

prune3.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

14.2b	(cbrt (/ (- (- x x) 1) (fma x x x)))
14.2b	(cbrt (/ (- (- x x) 1) (fma x x x)))
14.2b	(cbrt (/ (- (- x x) 1) (fma x x x)))
14.2b	(cbrt (/ (- (- x x) 1) (fma x x x)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

124×	`*-un-lft-identity`
112×	`cbrt-prod`
100×	`add-sqr-sqrt`
96×	`times-frac`
52×	`add-cube-cbrt`
36×	`distribute-lft-out--`
24×	`difference-of-squares`
12×	`difference-of-sqr-1`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 160

Calls

4 calls:

17.0ms	(cbrt (/ (- (- x x) 1) (fma x x x)))
12.0ms	(cbrt (/ (- (- x x) 1) (fma x x x)))
11.0ms	(cbrt (/ (- (- x x) 1) (fma x x x)))
14.0ms	(cbrt (/ (- (- x x) 1) (fma x x x)))

series338.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(cbrt (/ (- (- x x) 1) (fma x x x)))
70.0ms	(cbrt (/ (- (- x x) 1) (fma x x x)))
76.0ms	(cbrt (/ (- (- x x) 1) (fma x x x)))
89.0ms	(cbrt (/ (- (- x x) 1) (fma x x x)))

simplify979.0ms

Counts

172 → 172

Iterations

Iter	Nodes
4	2561
3	1127
2	481
1	233
0	125

prune2.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	8
1	8
0	6

end0.0ms

sample1.5s

Algorithm

intervals

Results

643.0ms	1933×	body	640	valid
335.0ms	4125×	body	80	valid
306.0ms	1271×	body	320	valid
91.0ms	673×	body	160	valid