Details

sample60.0ms

Algorithm

intervals

Results

23.0ms	66×	body	640	valid
13.0ms	52×	body	320	valid
10.0ms	119×	body	80	valid
3.0ms	19×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	15
2	15
1	11
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ x 1))
2.6b	(- (/ 1 (+ x 1)) (/ 1 x))

rewrite82.0ms

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))
59.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

series46.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(/ 1 (+ x 1))
28.0ms	(- (/ 1 (+ x 1)) (/ 1 x))

simplify2.1s

Counts

333 → 333

Iterations

Iter	Nodes
3	3496
2	1474
1	798
0	358

prune2.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ (- (- x x) 1) (fma x x x))

rewrite72.0ms

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:

71.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(/ (- (- 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

prune402.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ 1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))
19.0b	(cbrt (fma x x x))
19.0b	(cbrt (fma x x x))
19.0b	(cbrt (fma x x x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
12×	`pow1`
9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `pow1/3` `add-cube-cbrt` `pow-flip`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `prod-exp` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `pow-plus` `cbrt-unprod` `div-inv` `inv-pow`

Counts

4 → 80

Calls

4 calls:

12.0ms	(/ 1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))
1.0ms	(cbrt (fma x x x))
1.0ms	(cbrt (fma x x x))
1.0ms	(cbrt (fma x x x))

series232.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ 1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))
64.0ms	(cbrt (fma x x x))
48.0ms	(cbrt (fma x x x))
55.0ms	(cbrt (fma x x x))

simplify1.5s

Counts

92 → 92

Iterations

Iter	Nodes
4	3041
3	1372
2	579
1	257
0	118

prune951.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

19.0b	(cbrt (fma x x x))
19.0b	(cbrt (fma x x x))
19.0b	(cbrt (fma x x x))
19.0b	(cbrt (fma x x x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

1.0ms	(cbrt (fma x x x))
1.0ms	(cbrt (fma x x x))
1.0ms	(cbrt (fma x x x))
2.0ms	(cbrt (fma x x x))

series241.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(cbrt (fma x x x))
72.0ms	(cbrt (fma x x x))
47.0ms	(cbrt (fma x x x))
49.0ms	(cbrt (fma x x x))

simplify1.3s

Counts

68 → 68

Iterations

Iter	Nodes
5	2995
4	1161
3	532
2	241
1	103
0	46

prune785.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes46.0ms

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

601.0ms	1922×	body	640	valid
399.0ms	4194×	body	80	valid
261.0ms	1261×	body	320	valid
109.0ms	624×	body	160	valid