Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	281×	body	80	nan
8.0ms	269×	body	80	valid

simplify19.8s

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	858	14
7	1146	14
8	1588	14
9	2663	14
10	4034	14
11	4535	14
12	4696	14
13	4697	14
done	4697	14

prune3.0ms

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

rewrite106.0ms

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:

7.0ms	(+ y (/ 1.0 (* x 9.0)))
5.0ms	(* 3.0 (sqrt x))
86.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms	(/ 1.0 (* x 9.0))

series182.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ y (/ 1.0 (* x 9.0)))
47.0ms	(* 3.0 (sqrt x))
80.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
21.0ms	(/ 1.0 (* x 9.0))

simplify1.1s

Counts

131 → 131

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	230	2240
1	594	1935
2	1987	1666
done	5001	1637

prune281.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

81.0ms	(- (+ (/ 0.1111111111111111 x) y) 1.0)
12.0ms	(+ (/ 0.1111111111111111 x) y)
5.0ms	(* 3.0 (sqrt x))
122.0ms	(* (* 3.0 (sqrt x)) (- (+ (/ 0.1111111111111111 x) y) 1.0))

series165.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (+ (/ 0.1111111111111111 x) y) 1.0)
27.0ms	(+ (/ 0.1111111111111111 x) y)
41.0ms	(* 3.0 (sqrt x))
71.0ms	(* (* 3.0 (sqrt x)) (- (+ (/ 0.1111111111111111 x) y) 1.0))

simplify1.2s

Counts

153 → 153

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	204	2453
1	545	2061
2	1706	1738
done	5001	1690

prune310.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 103

Calls

3 calls:

19.0ms	(+ (/ 0.1111111111111111 x) (- y 1.0))
56.0ms	(* (sqrt x) (+ (/ 0.1111111111111111 x) (- y 1.0)))
51.0ms	(* 3.0 (* (sqrt x) (+ (/ 0.1111111111111111 x) (- y 1.0))))

series161.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (/ 0.1111111111111111 x) (- y 1.0))
62.0ms	(* (sqrt x) (+ (/ 0.1111111111111111 x) (- y 1.0)))
72.0ms	(* 3.0 (* (sqrt x) (+ (/ 0.1111111111111111 x) (- y 1.0))))

simplify1.1s

Counts

112 → 112

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	175	1424
1	494	1326
2	1583	1187
done	5001	1181

prune293.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (sqrt x))
0.2b	(* (* 3.0 (sqrt x)) (- (fma (/ 1 (sqrt x)) (/ 0.1111111111111111 (sqrt x)) y) 1.0))
0.2b	(/ 1 (sqrt x))
0.3b	(/ 0.1111111111111111 (sqrt x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
50×	`add-cube-cbrt`
36×	`times-frac`
28×	`sqrt-prod`
18×	`prod-diff`
17×	`add-exp-log`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in` `associate-/r*`
11×	`associate-r`
6×	`associate-/l*`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-flip` `div-exp`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `-commutative` `fma-udef` `div-inv` `unswap-sqr`
1×	`rec-exp` `flip3--` `sqrt-pow1` `pow1/2` `1-exp` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 160

Calls

4 calls:

5.0ms	(* 3.0 (sqrt x))
20.0ms	(* (* 3.0 (sqrt x)) (- (fma (/ 1 (sqrt x)) (/ 0.1111111111111111 (sqrt x)) y) 1.0))
3.0ms	(/ 1 (sqrt x))
3.0ms	(/ 0.1111111111111111 (sqrt x))

series238.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* 3.0 (sqrt x))
120.0ms	(* (* 3.0 (sqrt x)) (- (fma (/ 1 (sqrt x)) (/ 0.1111111111111111 (sqrt x)) y) 1.0))
34.0ms	(/ 1 (sqrt x))
42.0ms	(/ 0.1111111111111111 (sqrt x))

simplify1.3s

Counts

172 → 172

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	279	2704
1	630	2377
2	1833	1993
done	5000	1724

prune353.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes83.0ms

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	13	17
1	17	17
done	17	17

end0.0ms

sample823.0ms

Algorithm

intervals

Results

276.0ms	8541×	body	80	nan
263.0ms	8521×	body	80	valid