Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	5

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize12.0ms

Local error

Found 1 expressions with local error:

14.1b

(/ x (fma x x 1.0))

rewrite11.0ms

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` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

10.0ms

(/ x (fma x x 1.0))

series109.0ms

Counts

1 → 3

Calls

1 calls:

109.0ms

(/ x (fma x x 1.0))

simplify1.6s

Counts

32 → 32

Iterations

Iter	Nodes
done	5000
3	2280
2	480
1	140
0	68

prune146.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ 1.0 (* x x)) x)
0.4b	(/ 1.0 (* x x))
0.4b	(/ 1.0 (pow x 5))
20.5b	(- (/ 1.0 (pow x 5)) (/ (/ 1.0 (* x x)) x))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

1376×	`times-frac`
790×	`add-sqr-sqrt`
758×	`*-un-lft-identity`
752×	`add-cube-cbrt`
625×	`prod-diff`
249×	`unpow-prod-down`
133×	`div-inv`
85×	`sqr-pow`
25×	`fma-neg`
23×	`add-exp-log`
20×	`add-cbrt-cube`
13×	`associate-/l*`
12×	`difference-of-squares`
11×	`associate-/r*`
10×	`div-exp`
8×	`cbrt-undiv`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`clear-num` `frac-2neg`
2×	`prod-exp` `cbrt-unprod` `distribute-lft-out--`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-exp` `frac-sub` `flip--` `associate-/l/`

Counts

4 → 799

Calls

4 calls:

12.0ms	(/ (/ 1.0 (* x x)) x)
8.0ms	(/ 1.0 (* x x))
12.0ms	(/ 1.0 (pow x 5))
143.0ms	(- (/ 1.0 (pow x 5)) (/ (/ 1.0 (* x x)) x))

series421.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (/ 1.0 (* x x)) x)
53.0ms	(/ 1.0 (* x x))
100.0ms	(/ 1.0 (pow x 5))
216.0ms	(- (/ 1.0 (pow x 5)) (/ (/ 1.0 (* x x)) x))

simplify1.7s

Counts

811 → 811

Iterations

Iter	Nodes
done	5000
1	2185
0	963

prune6.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

14.1b	(/ x (fma x x 1.0))
14.1b	(/ x (fma x x 1.0))
14.1b	(/ x (fma x x 1.0))
40.6b	(cbrt (* (* (/ x (fma x x 1.0)) (/ x (fma x x 1.0))) (/ x (fma x x 1.0))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r` `associate-/l`
7×	`cbrt-div`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-*r/` `div-inv`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 106

Calls

4 calls:

4.0ms	(/ x (fma x x 1.0))
4.0ms	(/ x (fma x x 1.0))
4.0ms	(/ x (fma x x 1.0))
33.0ms	(cbrt (* (* (/ x (fma x x 1.0)) (/ x (fma x x 1.0))) (/ x (fma x x 1.0))))

series379.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(/ x (fma x x 1.0))
93.0ms	(/ x (fma x x 1.0))
87.0ms	(/ x (fma x x 1.0))
111.0ms	(cbrt (* (* (/ x (fma x x 1.0)) (/ x (fma x x 1.0))) (/ x (fma x x 1.0))))

simplify758.0ms

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	837
1	218
0	105

prune610.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes65.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.3b

bsearch88.0ms

Steps

Iters	Range		Point
11	3.4817375791661903e-26	573579.0075499975	508.8749887332333
8	-945879830.7474126	-409088.2864877689	-267060974.6176845

simplify4.0ms

Iterations

Iter	Nodes
done	26
1	26
0	20

end0.0ms

sample465.0ms

Algorithm

intervals

Results

329.0ms

8000×

body

valid