Details

sample23.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	85×	body	80	nan

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
1	8
0	6

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-/r*` `distribute-lft-out`
3×	`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 → 35

Calls

1 calls:

47.0ms

(/ x (+ 1.0 (sqrt (+ x 1.0))))

series207.0ms

Counts

1 → 3

Calls

1 calls:

207.0ms

(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify885.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
2	1169
1	233
0	97

prune160.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ x (fma (+ x 1.0) (sqrt (+ x 1.0)) (* 1.0 (* 1.0 1.0)))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
0.2b	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
3.9b	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
7.7b	(/ x (fma (+ x 1.0) (sqrt (+ x 1.0)) (* 1.0 (* 1.0 1.0))))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

60×	`sqrt-div`
45×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`flip3-+` `flip-+`
30×	`associate-*r/`
28×	`add-cube-cbrt`
26×	`sqrt-prod`
21×	`pow1`
20×	`associate-l`
19×	`times-frac`
16×	`frac-sub`
14×	`frac-times`
13×	`add-cbrt-cube` `add-exp-log`
11×	`swap-sqr`
10×	`associate-r`
9×	`associate-*l/`
8×	`sqrt-pow1` `pow1/2`
6×	`distribute-lft-out` `add-log-exp` `unswap-sqr`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `sub-div`
3×	`associate-/r` `prod-exp` `pow-sqr` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `div-exp` `*-commutative` `div-inv`
1×	`pow2` `distribute-rgt-in` `clear-num` `sub-neg` `rem-square-sqrt` `frac-2neg` `distribute-lft-in` `pow-plus` `flip3--` `distribute-rgt-out--` `fma-neg` `sqrt-unprod` `diff-log` `prod-diff` `flip--`

Counts

4 → 170

Calls

4 calls:

177.0ms	(* (/ x (fma (+ x 1.0) (sqrt (+ x 1.0)) (* 1.0 (* 1.0 1.0)))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
53.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
39.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
8.0ms	(/ x (fma (+ x 1.0) (sqrt (+ x 1.0)) (* 1.0 (* 1.0 1.0))))

series1.2s

Counts

4 → 12

Calls

4 calls:

788.0ms	(* (/ x (fma (+ x 1.0) (sqrt (+ x 1.0)) (* 1.0 (* 1.0 1.0)))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
32.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
83.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
314.0ms	(/ x (fma (+ x 1.0) (sqrt (+ x 1.0)) (* 1.0 (* 1.0 1.0))))

simplify2.4s

Counts

182 → 182

Iterations

Iter	Nodes
done	5000
1	1247
0	390

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
0.2b	(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
52×	`add-sqr-sqrt` `times-frac`
36×	`add-cube-cbrt`
35×	`sqrt-prod`
30×	`associate-r`
13×	`distribute-lft-out`
9×	`add-cbrt-cube` `add-exp-log`
6×	`associate-l` `associate-/l*` `unswap-sqr`
4×	`pow1` `associate-/r*` `associate-/r/`
2×	`expm1-log1p-u` `cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 108

Calls

2 calls:

42.0ms	(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
114.0ms	(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

series672.0ms

Counts

2 → 6

Calls

2 calls:

440.0ms	(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
231.0ms	(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

simplify2.8s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	3632
1	483
0	179

prune362.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample499.0ms

Algorithm

intervals

Results

266.0ms	7999×	body	80	valid
80.0ms	2645×	body	80	nan
0.0ms	1×	body	1280	valid