Details

sample47.0ms

Algorithm

intervals

Results

28.0ms	256×	body	80	valid
6.0ms	80×	body	80	nan

simplify4.0ms

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: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

9.0ms	(sqrt (+ x 1.0))
11.0ms	(+ 1.0 (sqrt (+ x 1.0)))
19.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

series323.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(sqrt (+ x 1.0))
56.0ms	(+ 1.0 (sqrt (+ x 1.0)))
215.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify1.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	1076
1	319
0	140

prune226.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(+ 1.0 (sqrt (+ x 1.0)))
0.1b	(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
0.1b	(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
26×	`times-frac`
23×	`add-cube-cbrt`
18×	`associate-r`
17×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`distribute-lft-out`
8×	`pow1`
6×	`add-log-exp`
4×	`associate-/r*` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `sqrt-prod` `flip-+` `insert-posit16`
3×	`associate-l` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `sqrt-div` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `rem-sqrt-square` `clear-num` `sum-log` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 110

Calls

4 calls:

9.0ms	(sqrt (+ x 1.0))
23.0ms	(+ 1.0 (sqrt (+ x 1.0)))
39.0ms	(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
86.0ms	(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

series415.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sqrt (+ x 1.0))
63.0ms	(+ 1.0 (sqrt (+ x 1.0)))
128.0ms	(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
183.0ms	(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

simplify1.6s

Counts

122 → 122

Iterations

Iter	Nodes
done	5002
2	1588
1	458
0	187

prune404.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ x 1.0) (sqrt (+ x 1.0))))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
0.1b	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
4.7b	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
5.6b	(/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ x 1.0) (sqrt (+ x 1.0)))))

rewrite258.0ms

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:

180.0ms	(* (/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ x 1.0) (sqrt (+ x 1.0))))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
23.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
19.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
34.0ms	(/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ x 1.0) (sqrt (+ x 1.0)))))

series861.0ms

Counts

4 → 12

Calls

4 calls:

507.0ms	(* (/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ x 1.0) (sqrt (+ x 1.0))))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
29.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
73.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
251.0ms	(/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ x 1.0) (sqrt (+ x 1.0)))))

simplify3.2s

Counts

187 → 187

Iterations

Iter	Nodes
done	5012
2	4642
1	1193
0	382

prune868.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
0.1b	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
4.7b	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
4.7b	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

120×	`sqrt-div`
60×	`flip3-+` `flip-+`
56×	`associate-*r/`
52×	`sqrt-prod`
48×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
34×	`pow1`
32×	`frac-sub`
24×	`frac-times`
22×	`swap-sqr`
20×	`add-cube-cbrt`
16×	`sqrt-pow1` `pow1/2` `associate-*l/`
14×	`associate-r` `associate-l`
12×	`distribute-lft-out`
10×	`pow-prod-up`
8×	`add-cbrt-cube` `add-exp-log` `sub-div` `add-log-exp` `unswap-sqr`
6×	`pow-prod-down` `pow-sqr`
4×	`insert-posit16`
2×	`pow2` `sub-neg` `rem-square-sqrt` `pow-plus` `flip3--` `distribute-rgt-out--` `sqrt-unprod` `diff-log` `prod-exp` `*-commutative` `cbrt-unprod` `flip--`

Counts

4 → 194

Calls

4 calls:

28.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
34.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
23.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
22.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))

series273.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
27.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
99.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
116.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))

simplify3.4s

Counts

206 → 206

Iterations

Iter	Nodes
done	5001
3	4994
2	1473
1	469
0	180

prune960.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes22.0ms

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	13
1	13
0	8

end0.0ms

sample922.0ms

Algorithm

intervals

Results

602.0ms	7995×	body	80	valid
134.0ms	2550×	body	80	nan
2.0ms	5×	body	1280	valid