Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize6.0ms

Local error

Found 1 expressions with local error:

15.0b

(/ x (+ (* x x) 1.0))

rewrite14.0ms

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`
2×	`associate-/r/`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

12.0ms

(/ x (+ (* x x) 1.0))

series106.0ms

Counts

1 → 3

Calls

1 calls:

106.0ms

(/ x (+ (* x x) 1.0))

simplify721.0ms

Counts

34 → 34

Iterations

Iter	Nodes
done	5000
2	808
1	189
0	76

prune127.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (sqrt (fma x x 1.0)))
0.0b	(/ 1 (sqrt (fma x x 1.0)))
15.0b	(sqrt (fma x x 1.0))
15.0b	(sqrt (fma x x 1.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
30×	`sqrt-prod`
12×	`associate-/r*`
10×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-pow1` `pow1/2` `div-exp` `pow-flip`
2×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `div-inv`
1×	`rec-exp` `1-exp` `inv-pow`

Counts

4 → 118

Calls

4 calls:

5.0ms	(/ x (sqrt (fma x x 1.0)))
6.0ms	(/ 1 (sqrt (fma x x 1.0)))
1.0ms	(sqrt (fma x x 1.0))
1.0ms	(sqrt (fma x x 1.0))

series425.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(/ x (sqrt (fma x x 1.0)))
88.0ms	(/ 1 (sqrt (fma x x 1.0)))
66.0ms	(sqrt (fma x x 1.0))
66.0ms	(sqrt (fma x x 1.0))

simplify841.0ms

Counts

130 → 130

Iterations

Iter	Nodes
done	5001
2	1588
1	372
0	175

prune524.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 x) (- (/ 1.0 (pow x 3)) (/ 1.0 (pow x 5))))
0.1b	(/ 1.0 (pow x 3))
0.3b	(/ 1.0 (pow x 5))
19.2b	(- (/ 1.0 (pow x 3)) (/ 1.0 (pow x 5)))

rewrite999.0ms

Algorithm

rewrite-expression-head

Rules

4357×	`times-frac`
3406×	`add-sqr-sqrt`
2658×	`*-un-lft-identity`
2531×	`add-cube-cbrt`
2364×	`prod-diff`
1329×	`unpow-prod-down`
1002×	`associate--r+`
527×	`cube-prod` `sqr-pow`
283×	`difference-of-squares`
192×	`div-inv`
157×	`cube-mult` `unpow3`
78×	`distribute-lft-out--`
53×	`fma-neg`
19×	`associate-/r*`
14×	`add-exp-log`
11×	`add-log-exp`
8×	`add-cbrt-cube`
6×	`div-exp` `associate-/l*`
5×	`frac-sub`
4×	`expm1-log1p-u` `pow1` `diff-log` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `flip--`
2×	`pow-to-exp` `cbrt-undiv` `clear-num` `frac-2neg` `pow-exp`
1×	`associate--r-`

Counts

4 → 2600

Calls

4 calls:

391.0ms	(- (/ 1 x) (- (/ 1.0 (pow x 3)) (/ 1.0 (pow x 5))))
10.0ms	(/ 1.0 (pow x 3))
12.0ms	(/ 1.0 (pow x 5))
152.0ms	(- (/ 1.0 (pow x 3)) (/ 1.0 (pow x 5)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (/ 1 x) (- (/ 1.0 (pow x 3)) (/ 1.0 (pow x 5))))
52.0ms	(/ 1.0 (pow x 3))
56.0ms	(/ 1.0 (pow x 5))
198.0ms	(- (/ 1.0 (pow x 3)) (/ 1.0 (pow x 5)))

simplify1.7s

Counts

2612 → 2612

Iterations

Iter	Nodes
done	5001
0	2303

prune12.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.5b

bsearch55.0ms

Steps

Iters	Range		Point
7	13.800596953327334	2205.5689030668646	507.01009039307485
2	-3.2275392569223236e+62	-2.967245708633018e+62	-3.1950025633861604e+62

simplify5.0ms

Iterations

Iter	Nodes
done	27
1	27
0	21

end0.0ms

sample519.0ms

Algorithm

intervals

Results

327.0ms

8000×

body

valid