Details

sample31.0ms

Algorithm

intervals

Results

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

simplify18.1s

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	1106	14
8	1549	14
9	2618	14
10	3948	14
11	4471	14
12	4617	14
13	4618	14
done	4618	14

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

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))

rewrite102.0ms

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:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
5.0ms	(* 3.0 (sqrt x))
85.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
3.0ms	(/ 1.0 (* x 9.0))

series159.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ y (/ 1.0 (* x 9.0)))
40.0ms	(* 3.0 (sqrt x))
70.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
18.0ms	(/ 1.0 (* x 9.0))

simplify1.0s

Counts

131 → 131

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	230	2240
1	590	1933
2	1975	1666
done	5001	1637

prune289.0ms

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

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
39×	`add-sqr-sqrt`
36×	`prod-diff`
31×	`add-cube-cbrt`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`distribute-lft-out`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
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` `fma-def` `associate--l+`
2×	`flip3--` `diff-log` `associate-r/` `sum-log` `-commutative` `flip--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

4 → 131

Calls

4 calls:

70.0ms	(- (+ y (/ 0.1111111111111111 x)) 1.0)
9.0ms	(+ y (/ 0.1111111111111111 x))
5.0ms	(* 3.0 (sqrt x))
111.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))

series161.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (+ y (/ 0.1111111111111111 x)) 1.0)
27.0ms	(+ y (/ 0.1111111111111111 x))
44.0ms	(* 3.0 (sqrt x))
66.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))

simplify1.3s

Counts

143 → 143

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	204	2455
1	537	2059
2	1679	1738
done	5001	1691

prune292.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

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

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 168

Calls

4 calls:

18.0ms	(+ y (/ (/ 1.0 x) 9.0))
5.0ms	(* 3.0 (sqrt x))
6.0ms	(/ (/ 1.0 x) 9.0)
307.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))

series177.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ y (/ (/ 1.0 x) 9.0))
49.0ms	(* 3.0 (sqrt x))
19.0ms	(/ (/ 1.0 x) 9.0)
76.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))

simplify1.3s

Counts

180 → 180

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	330	2917
1	813	2566
2	2471	2295
done	5001	2266

prune448.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 181

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
98.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
103.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
3.0ms	(/ 1.0 (* x 9.0))

series188.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ y (/ 1.0 (* x 9.0)))
64.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
73.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
24.0ms	(/ 1.0 (* x 9.0))

simplify958.0ms

Counts

193 → 193

Iterations

Useful iterations: done (950.0ms)

Iter	Nodes	Cost
0	277	4666
1	630	3937
2	1946	3335
done	5000	3257

prune308.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes91.0ms

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	12	14
1	16	14
done	16	14

end0.0ms

sample813.0ms

Algorithm

intervals

Results

271.0ms	8541×	body	80	nan
260.0ms	8521×	body	80	valid