Details

sample49.0ms

Algorithm

intervals

Results

13.0ms	270×	body	80	valid
13.0ms	273×	body	80	nan

simplify25.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	64	14
3	188	14
4	400	14
5	616	14
6	995	14
7	1394	14
8	1866	14
9	2606	14
10	3634	14
11	4214	14
12	4310	14
13	4311	14
done	4311	14

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 119

Calls

4 calls:

19.0ms	(+ y (/ 1.0 (* x 9.0)))
232.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
10.0ms	(* 3.0 (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series191.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ y (/ 1.0 (* x 9.0)))
74.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
60.0ms	(* 3.0 (sqrt x))
27.0ms	(/ 1.0 (* x 9.0))

simplify1.2s

Counts

131 → 131

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	230	2240
1	575	1933
2	1825	1666
done	5001	1567

prune356.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite767.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

160.0ms	(+ (- (/ 1.0 (* x 9.0)) 1.0) y)
12.0ms	(/ 1.0 (* x 9.0))
343.0ms	(* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))
244.0ms	(* 3.0 (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (- (/ 1.0 (* x 9.0)) 1.0) y)
27.0ms	(/ 1.0 (* x 9.0))
85.0ms	(* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))
87.0ms	(* 3.0 (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y)))

simplify1.1s

Counts

136 → 136

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	179	1789
1	438	1668
2	1503	1388
done	5000	1382

prune518.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ 0.1111111111111111 x))
0.2b	(* 3.0 (sqrt x))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
24×	`prod-diff`
22×	`add-cube-cbrt`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`sub-neg` `associate-r/` `associate--l+` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 96

Calls

3 calls:

16.0ms	(+ y (/ 0.1111111111111111 x))
11.0ms	(* 3.0 (sqrt x))
192.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))

series139.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ y (/ 0.1111111111111111 x))
38.0ms	(* 3.0 (sqrt x))
68.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))

simplify853.0ms

Counts

105 → 105

Iterations

Useful iterations: done (850.0ms)

Iter	Nodes	Cost
0	192	1851
1	496	1569
2	1480	1340
done	5001	1261

prune226.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log`
32×	`pow1`
25×	`add-cbrt-cube`
20×	`prod-exp` `cbrt-unprod`
19×	`pow-prod-down`
17×	`distribute-rgt-in` `distribute-lft-in`
16×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`associate-l`
12×	`associate-*r/`
11×	`add-cube-cbrt`
7×	`associate-r`
4×	`expm1-log1p-u` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `flip3-+` `times-frac` `-commutative` `flip-+` `associate-/l`
2×	`cbrt-undiv` `div-exp` `distribute-lft-out` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `distribute-lft-out--`

Counts

4 → 122

Calls

4 calls:

879.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))))
8.0ms	(/ 1.0 (* x 9.0))
349.0ms	(* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))
305.0ms	(* (cbrt 3.0) (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y)))

series435.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))))
26.0ms	(/ 1.0 (* x 9.0))
67.0ms	(* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))
217.0ms	(* (cbrt 3.0) (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y)))

simplify1.4s

Counts

134 → 134

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	219	2566
1	600	2472
2	2171	1957
done	5000	1792

prune397.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes117.0ms

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	11	12
1	14	12
done	14	12

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s	8541×	body	80	valid
714.0ms	8527×	body	80	nan