Details

sample16.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	9
1	9
0	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize15.0ms

Local error

Found 1 expressions with local error:

13.8b

(/ x (fma x x 1))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

9.0ms

(/ x (fma x x 1))

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(/ x (fma x x 1))

simplify2.5s

Counts

33 → 33

Iterations

Iter	Nodes
5	4471
4	1506
3	553
2	260
1	116
0	63

prune225.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ 1 (sqrt (fma x x 1))) (/ x (sqrt (fma x x 1))))
0.0b	(/ x (sqrt (fma x x 1)))
13.7b	(sqrt (fma x x 1))
13.7b	(sqrt (fma x x 1))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
76×	`times-frac`
53×	`*-un-lft-identity`
47×	`add-cube-cbrt` `sqrt-prod`
28×	`add-exp-log`
22×	`associate-r` `associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
9×	`div-exp`
8×	`pow1` `prod-exp`
6×	`associate-/r*`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`rem-sqrt-square` `rec-exp` `sqrt-pow1` `pow1/2` `1-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 160

Calls

4 calls:

40.0ms	(* (/ 1 (sqrt (fma x x 1))) (/ x (sqrt (fma x x 1))))
9.0ms	(/ x (sqrt (fma x x 1)))
1.0ms	(sqrt (fma x x 1))
1.0ms	(sqrt (fma x x 1))

series301.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (/ 1 (sqrt (fma x x 1))) (/ x (sqrt (fma x x 1))))
97.0ms	(/ x (sqrt (fma x x 1)))
57.0ms	(sqrt (fma x x 1))
57.0ms	(sqrt (fma x x 1))

simplify1.6s

Counts

172 → 172

Iterations

Iter	Nodes
3	3587
2	1345
1	537
0	199

prune1.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (* x x))
17.8b	(- (+ (pow x 5) x) (* x (* x x)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
9×	`*-un-lft-identity`
7×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`add-sqr-sqrt`
5×	`pow-prod-up` `add-cube-cbrt`
4×	`fma-neg` `prod-diff`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `diff-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`pow2` `sum-log` `sub-neg` `pow-plus` `flip3--` `cube-unmult` `associate-r` `associate--l+` `pow-sqr` `*-commutative` `flip--` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

13.0ms	(* x (* x x))
58.0ms	(- (+ (pow x 5) x) (* x (* x x)))

series113.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* x (* x x))
62.0ms	(- (+ (pow x 5) x) (* x (* x x)))

simplify996.0ms

Counts

58 → 58

Iterations

Iter	Nodes
3	2085
2	486
1	172
0	80

prune409.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (pow x 5))
0.1b	(/ (/ 1 x) (* x x))
20.9b	(- (/ 1 (pow x 5)) (/ (/ 1 x) (* x x)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

1039×	`times-frac`
552×	`add-sqr-sqrt`
507×	`*-un-lft-identity`
485×	`add-cube-cbrt`
425×	`prod-diff`
182×	`unpow-prod-down`
73×	`div-inv`
66×	`sqr-pow`
34×	`add-exp-log`
28×	`difference-of-squares`
25×	`fma-neg`
18×	`div-exp`
17×	`pow1` `add-cbrt-cube`
16×	`associate-/l*`
8×	`associate-/r*` `pow-div`
7×	`cbrt-undiv`
5×	`rec-exp` `1-exp` `pow-flip` `inv-pow` `add-log-exp`
4×	`prod-exp`
3×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `insert-posit16` `log1p-expm1-u`
2×	`pow2` `clear-num` `frac-2neg` `pow-plus` `pow-sqr` `pow-prod-up` `cbrt-unprod` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `associate-/l/`

Counts

3 → 613

Calls

3 calls:

12.0ms	(/ 1 (pow x 5))
21.0ms	(/ (/ 1 x) (* x x))
35.0ms	(- (/ 1 (pow x 5)) (/ (/ 1 x) (* x x)))

series287.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(/ 1 (pow x 5))
48.0ms	(/ (/ 1 x) (* x x))
161.0ms	(- (/ 1 (pow x 5)) (/ (/ 1 x) (* x x)))

simplify1.4s

Counts

622 → 622

Iterations

Iter	Nodes
2	2846
1	1571
0	711

prune6.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

100% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 31.9b

bsearch117.0ms

Steps

Iters	Range		Point
10	3.724243043503383e-05	335086.0623706297	0.9949385524453179
9	-1352.1675980196485	-0.00125944232679287	-1.0116525285447533

simplify4.0ms

Iterations

Iter	Nodes
2	27
1	27
0	19

end0.0ms

sample746.0ms

Algorithm

intervals

Results

625.0ms

8000×

body

valid