Details

sample32.0ms

Algorithm

intervals

Results

11.0ms	267×	body	80	valid
8.0ms	248×	body	80	nan

simplify4.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	63	14
3	154	14
4	301	14
5	505	14
6	894	14
7	1249	14
8	1937	14
9	3745	14
done	5000	14

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
0.2b	(* 3.0 (sqrt x))
0.3b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.4b	(/ 1.0 (* x 9.0))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
36×	`prod-diff`
32×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r` `distribute-lft-out`
11×	`pow1`
9×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `fma-neg` `associate-l` `pow-prod-down` `sqrt-prod` `log1p-expm1-u` `distribute-lft-out--`
3×	`sub-neg` `times-frac` `associate--l+` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `diff-log` `associate-r/` `div-exp` `-commutative` `flip--` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*` `sum-log` `div-inv`

Counts

4 → 137

Calls

4 calls:

52.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
5.0ms	(* 3.0 (sqrt x))
82.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms	(/ 1.0 (* x 9.0))

series148.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
38.0ms	(* 3.0 (sqrt x))
69.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
17.0ms	(/ 1.0 (* x 9.0))

simplify1.1s

Counts

149 → 149

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	229	2749
1	597	2362
2	2697	1951
done	5000	1946

prune266.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (/ 1.0 (* x 9.0)) y) 1.0)
0.2b	(* (- (+ (/ 1.0 (* x 9.0)) y) 1.0) 3.0)
0.3b	(* (sqrt x) (* (- (+ (/ 1.0 (* x 9.0)) y) 1.0) 3.0))
0.4b	(/ 1.0 (* x 9.0))

rewrite421.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
12×	`associate-l` `prod-diff`
11×	`pow1`
9×	`add-log-exp`
6×	`distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `fma-neg` `associate-r` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `distribute-lft-out--`
3×	`flip3--` `times-frac` `sqrt-prod` `flip--` `associate-/l*`
2×	`cbrt-undiv` `diff-log` `associate-r/` `div-exp` `-commutative` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `associate--l+` `clear-num` `associate-/r*` `sum-log` `div-inv` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

70.0ms	(- (+ (/ 1.0 (* x 9.0)) y) 1.0)
159.0ms	(* (- (+ (/ 1.0 (* x 9.0)) y) 1.0) 3.0)
186.0ms	(* (sqrt x) (* (- (+ (/ 1.0 (* x 9.0)) y) 1.0) 3.0))
3.0ms	(/ 1.0 (* x 9.0))

series134.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (+ (/ 1.0 (* x 9.0)) y) 1.0)
28.0ms	(* (- (+ (/ 1.0 (* x 9.0)) y) 1.0) 3.0)
65.0ms	(* (sqrt x) (* (- (+ (/ 1.0 (* x 9.0)) y) 1.0) 3.0))
16.0ms	(/ 1.0 (* x 9.0))

simplify670.0ms

Counts

120 → 120

Iterations

Useful iterations: done (667.0ms)

Iter	Nodes	Cost
0	186	1804
1	446	1656
2	1897	1394
done	5000	1391

prune295.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (/ (/ 1.0 x) 9.0)) 1.0)
0.2b	(/ (/ 1.0 x) 9.0)
0.2b	(* 3.0 (sqrt x))
0.3b	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))

rewrite470.0ms

Algorithm

rewrite-expression-head

Rules

102×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
75×	`times-frac`
72×	`add-cube-cbrt`
36×	`prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-/l*`
12×	`associate-r` `distribute-lft-out`
11×	`pow1`
9×	`add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `fma-neg` `associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--`
3×	`cbrt-undiv` `sub-neg` `div-exp` `associate--l+` `associate-/r*`
2×	`flip3--` `diff-log` `associate-r/` `-commutative` `flip--` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `clear-num` `sum-log` `associate-/l/`

Counts

4 → 186

Calls

4 calls:

186.0ms	(- (+ y (/ (/ 1.0 x) 9.0)) 1.0)
6.0ms	(/ (/ 1.0 x) 9.0)
4.0ms	(* 3.0 (sqrt x))
266.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))

series152.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (+ y (/ (/ 1.0 x) 9.0)) 1.0)
17.0ms	(/ (/ 1.0 x) 9.0)
41.0ms	(* 3.0 (sqrt x))
68.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))

simplify1.6s

Counts

198 → 198

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	329	3426
1	824	2995
2	3781	2580
done	5000	2575

prune406.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (sqrt x))
0.2b	(* 3.0 (sqrt x))
0.3b	(* (* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x)))) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
0.5b	(* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x))))

rewrite420.0ms

Algorithm

rewrite-expression-head

Rules

62×	`pow1`
46×	`*-un-lft-identity`
42×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
28×	`sqrt-pow1`
25×	`pow-prod-down`
24×	`prod-diff`
22×	`associate-r`
15×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
12×	`sqrt-prod`
11×	`associate-l`
10×	`pow1/2` `pow-prod-up`
7×	`distribute-lft-out`
6×	`prod-exp` `pow-sqr` `cbrt-unprod` `unswap-sqr`
4×	`expm1-log1p-u` `swap-sqr` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-*r/` `associate--l+` `distribute-lft-out--`
1×	`pow2` `flip3--` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `flip--` `difference-of-squares`

Counts

4 → 155

Calls

4 calls:

4.0ms	(* 3.0 (sqrt x))
4.0ms	(* 3.0 (sqrt x))
387.0ms	(* (* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x)))) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
18.0ms	(* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x))))

series384.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* 3.0 (sqrt x))
38.0ms	(* 3.0 (sqrt x))
207.0ms	(* (* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x)))) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
97.0ms	(* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x))))

simplify1.9s

Counts

167 → 167

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	236	3419
1	605	2167
2	3225	1835
done	5000	1822

prune280.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	23
1	25	23
done	25	23

end0.0ms

sample823.0ms

Algorithm

intervals

Results

272.0ms	8502×	body	80	nan
265.0ms	8510×	body	80	valid