Details

sample32.0ms

Algorithm

intervals

Results

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

simplify12.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	63	14
3	151	14
4	292	14
5	495	14
6	828	14
7	1104	14
8	1542	14
9	2605	14
10	3928	14
11	4433	14
12	4575	14
13	4576	14
done	4576	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))

rewrite153.0ms

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:

51.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
6.0ms	(* 3.0 (sqrt x))
87.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms	(/ 1.0 (* x 9.0))

series144.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
41.0ms	(* 3.0 (sqrt x))
65.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
16.0ms	(/ 1.0 (* x 9.0))

simplify791.0ms

Counts

149 → 149

Iterations

Useful iterations: done (786.0ms)

Iter	Nodes	Cost
0	229	2749
1	573	2360
2	1921	1987
done	5000	1946

prune265.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
24×	`prod-diff`
18×	`add-exp-log` `associate-r` `add-cbrt-cube`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`pow1`
7×	`associate-l` `sqrt-prod` `distribute-lft-out`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `associate-*l/` `associate--l+` `flip--` `distribute-lft-out--`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `difference-of-squares`

Counts

4 → 127

Calls

4 calls:

129.0ms	(* 3.0 (- (+ (/ 1.0 (* x 9.0)) y) 1.0))
5.0ms	(* 3.0 (sqrt x))
138.0ms	(* (* 3.0 (- (+ (/ 1.0 (* x 9.0)) y) 1.0)) (sqrt x))
3.0ms	(/ 1.0 (* x 9.0))

series153.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* 3.0 (- (+ (/ 1.0 (* x 9.0)) y) 1.0))
43.0ms	(* 3.0 (sqrt x))
62.0ms	(* (* 3.0 (- (+ (/ 1.0 (* x 9.0)) y) 1.0)) (sqrt x))
21.0ms	(/ 1.0 (* x 9.0))

simplify686.0ms

Counts

139 → 139

Iterations

Useful iterations: done (682.0ms)

Iter	Nodes	Cost
0	238	2280
1	535	1993
2	1643	1672
done	5000	1643

prune301.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma 3.0 y (- (/ 0.3333333333333333 x) 3.0))
0.2b	(* 3.0 (sqrt x))
0.3b	(* (fma 3.0 y (- (/ 0.3333333333333333 x) 3.0)) (sqrt x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
12×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-prod`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-l`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`fma-udef`

Counts

3 → 58

Calls

3 calls:

0.0ms	(fma 3.0 y (- (/ 0.3333333333333333 x) 3.0))
5.0ms	(* 3.0 (sqrt x))
5.0ms	(* (fma 3.0 y (- (/ 0.3333333333333333 x) 3.0)) (sqrt x))

series147.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(fma 3.0 y (- (/ 0.3333333333333333 x) 3.0))
37.0ms	(* 3.0 (sqrt x))
76.0ms	(* (fma 3.0 y (- (/ 0.3333333333333333 x) 3.0)) (sqrt x))

simplify1.4s

Counts

67 → 67

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	112	762
1	255	713
2	663	636
3	2184	628
done	5001	625

prune182.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
42×	`add-cube-cbrt`
33×	`associate-r`
32×	`add-exp-log`
28×	`times-frac`
27×	`prod-diff`
25×	`add-cbrt-cube`
13×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod`
11×	`cbrt-prod` `associate-l`
9×	`add-log-exp`
8×	`unswap-sqr`
7×	`cbrt-undiv` `div-exp`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `sqrt-prod` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `associate-r/` `associate--l+` `-commutative`
2×	`flip3--` `diff-log` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-*l/` `sum-log`

Counts

4 → 163

Calls

4 calls:

19.0ms	(- (+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) 1.0)
5.0ms	(* 3.0 (sqrt x))
34.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) 1.0))
24.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

series300.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) 1.0)
41.0ms	(* 3.0 (sqrt x))
105.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) 1.0))
103.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

simplify1.3s

Counts

175 → 175

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	309	4083
1	866	3162
2	3187	2316
done	5001	2284

prune343.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	18	20
done	18	20

end0.0ms

sample791.0ms

Algorithm

intervals

Results

267.0ms	8502×	body	80	nan
265.0ms	8510×	body	80	valid