Details

sample24.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
3.0ms	69×	body	80	nan

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
1	8
0	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
12×	`times-frac` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `sqrt-prod`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `sqrt-div` `associate-/r/` `flip-+` `insert-posit16` `add-log-exp`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `div-inv`

Counts

2 → 51

Calls

2 calls:

4.0ms	(sqrt (+ x 1.0))
18.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

series207.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(sqrt (+ x 1.0))
174.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify484.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	2056
2	1041
1	293
0	129

prune201.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 77

Calls

4 calls:

13.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series928.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(* (cbrt x) (cbrt x))
217.0ms	(cbrt x)
251.0ms	(cbrt x)
239.0ms	(cbrt x)

simplify659.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	2000
3	1045
2	380
1	138
0	63

prune290.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ 1.0 x) (sqrt (+ 1.0 x))))) (+ (* 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)))
3.1b	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
7.3b	(/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ 1.0 x) (sqrt (+ 1.0 x)))))

rewrite386.0ms

Algorithm

rewrite-expression-head

Rules

60×	`sqrt-div`
54×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
34×	`flip3-+` `flip-+`
30×	`associate-*r/` `add-cube-cbrt`
26×	`sqrt-prod`
25×	`times-frac` `associate-l`
21×	`pow1`
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`
7×	`cube-unmult` `pow3` `sum-cubes`
6×	`distribute-lft-out` `add-log-exp` `unswap-sqr`
5×	`pow-prod-up`
4×	`associate-/r*` `pow-prod-down` `associate-/r/` `insert-posit16` `sub-div`
3×	`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--` `sqrt-unprod` `diff-log` `flip--`

Counts

4 → 175

Calls

4 calls:

274.0ms	(* (/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ 1.0 x) (sqrt (+ 1.0 x))))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
39.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
33.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
37.0ms	(/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ 1.0 x) (sqrt (+ 1.0 x)))))

series882.0ms

Counts

4 → 12

Calls

4 calls:

524.0ms	(* (/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ 1.0 x) (sqrt (+ 1.0 x))))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
21.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
93.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
243.0ms	(/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ 1.0 x) (sqrt (+ 1.0 x)))))

simplify867.0ms

Counts

187 → 187

Iterations

Iter	Nodes
done	2001
1	1202
0	388

prune845.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.1b	(/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))
0.1b	(/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

360×	`times-frac`
284×	`*-un-lft-identity`
190×	`sqrt-prod`
185×	`add-sqr-sqrt`
184×	`add-cube-cbrt`
50×	`distribute-lft-out`
34×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
9×	`div-inv`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3-+` `sqrt-div` `flip-+` `associate-/l/`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/`

Counts

3 → 284

Calls

3 calls:

4.0ms	(sqrt (+ x 1.0))
35.0ms	(/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))
49.0ms	(/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))

series424.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(sqrt (+ x 1.0))
221.0ms	(/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))
166.0ms	(/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))

simplify897.0ms

Counts

293 → 293

Iterations

Iter	Nodes
done	2000
1	956
0	366

prune816.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes48.0ms

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

sample963.0ms

Algorithm

intervals

Results

606.0ms	7998×	body	80	valid
197.0ms	2598×	body	80	nan
1.0ms	2×	body	1280	valid