Details

sample33.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
3.0ms	99×	body	80	nan

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
1	8
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

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-+` `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 → 61

Calls

3 calls:

13.0ms	(sqrt (+ x 1.0))
12.0ms	(+ 1.0 (sqrt (+ x 1.0)))
40.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

series299.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(sqrt (+ x 1.0))
59.0ms	(+ 1.0 (sqrt (+ x 1.0)))
197.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify1.1s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1079
1	316
0	137

prune303.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

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)))
3.9b	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
5.8b	(/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ 1.0 x) (sqrt (+ 1.0 x)))))

rewrite469.0ms

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/` `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 → 171

Calls

4 calls:

336.0ms	(* (/ 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))))))
48.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
22.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
45.0ms	(/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ 1.0 x) (sqrt (+ 1.0 x)))))

series951.0ms

Counts

4 → 12

Calls

4 calls:

530.0ms	(* (/ 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))))))
23.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
96.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
302.0ms	(/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ 1.0 x) (sqrt (+ 1.0 x)))))

simplify3.4s

Counts

183 → 183

Iterations

Iter	Nodes
done	5008
2	4585
1	1201
0	384

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
52×	`times-frac`
39×	`add-cube-cbrt` `sqrt-prod`
30×	`associate-r`
15×	`distribute-lft-out`
11×	`add-cbrt-cube` `add-exp-log`
7×	`pow1`
6×	`associate-l` `associate-/l*` `add-log-exp` `unswap-sqr`
4×	`associate-/r*` `flip3-+` `associate-/r/` `flip-+`
2×	`cbrt-undiv` `sqrt-div` `div-exp` `prod-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/` `-commutative`

Counts

4 → 132

Calls

4 calls:

34.0ms	(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
6.0ms	(sqrt (+ x 1.0))
19.0ms	(+ 1.0 (sqrt (+ x 1.0)))
102.0ms	(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

series695.0ms

Counts

4 → 12

Calls

4 calls:

375.0ms	(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
56.0ms	(sqrt (+ x 1.0))
64.0ms	(+ 1.0 (sqrt (+ x 1.0)))
200.0ms	(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

simplify1.9s

Counts

144 → 144

Iterations

Iter	Nodes
done	5006
2	1869
1	546
0	213

prune590.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes57.0ms

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

sample657.0ms

Algorithm

intervals

Results

402.0ms	7997×	body	80	valid
73.0ms	2657×	body	80	nan
0.0ms	3×	body	1280	valid