Details

sample49.0ms

Algorithm

intervals

Results

13.0ms	289×	body	80	nan
12.0ms	275×	body	80	valid

simplify3.5s

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	454	14
5	906	14
6	2078	14
done	5001	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

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))
0.3b	(* 3.0 (sqrt x))
0.3b	(/ 1.0 (* x 9.0))

rewrite258.0ms

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:

12.0ms	(+ y (/ 1.0 (* x 9.0)))
218.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
12.0ms	(* 3.0 (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series206.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ y (/ 1.0 (* x 9.0)))
95.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
42.0ms	(* 3.0 (sqrt x))
23.0ms	(/ 1.0 (* x 9.0))

simplify2.2s

Counts

131 → 131

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	230	2240
1	656	1945
2	3905	1674
done	5001	1671

prune375.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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

rewrite537.0ms

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:

19.0ms	(+ y (/ 1.0 (* x 9.0)))
262.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
8.0ms	(/ 1.0 (* x 9.0))
239.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ y (/ 1.0 (* x 9.0)))
105.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
31.0ms	(/ 1.0 (* x 9.0))
100.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify2.4s

Counts

193 → 193

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	277	4666
1	732	3973
2	3710	3341
done	5000	3335

prune369.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* (/ 1 x) (/ 1.0 9.0)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
0.3b	(* 3.0 (sqrt x))
0.3b	(* (/ 1 x) (/ 1.0 9.0))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`add-cube-cbrt`
33×	`add-exp-log`
25×	`times-frac`
24×	`associate-r`
23×	`add-cbrt-cube`
18×	`prod-diff`
17×	`associate-l`
13×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in` `prod-exp`
8×	`div-exp` `cbrt-unprod` `unswap-sqr`
6×	`add-log-exp`
5×	`pow-prod-down`
4×	`cbrt-undiv` `expm1-log1p-u` `sqrt-prod` `log1p-expm1-u`
3×	`fma-def` `associate-r/` `-commutative`
2×	`sub-neg` `rec-exp` `1-exp` `associate--l+` `div-inv`
1×	`+-commutative` `frac-times` `flip3--` `flip3-+` `associate-*l/` `sum-log` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 146

Calls

4 calls:

6.0ms	(+ y (* (/ 1 x) (/ 1.0 9.0)))
129.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
19.0ms	(* 3.0 (sqrt x))
25.0ms	(* (/ 1 x) (/ 1.0 9.0))

series192.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ y (* (/ 1 x) (/ 1.0 9.0)))
81.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
49.0ms	(* 3.0 (sqrt x))
30.0ms	(* (/ 1 x) (/ 1.0 9.0))

simplify633.0ms

Counts

158 → 158

Iterations

Useful iterations: done (625.0ms)

Iter	Nodes	Cost
0	296	2641
1	911	2383
done	5000	1812

prune504.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 230

Calls

4 calls:

25.0ms	(+ y (/ (/ 1.0 9.0) x))
607.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 9.0) x)) 1.0))
572.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 9.0) x)) 1.0)))
12.0ms	(/ (/ 1.0 9.0) x)

series251.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ y (/ (/ 1.0 9.0) x))
81.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 9.0) x)) 1.0))
91.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 9.0) x)) 1.0)))
24.0ms	(/ (/ 1.0 9.0) x)

simplify2.9s

Counts

242 → 242

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	378	5343
1	1001	4750
2	4761	3970
done	5000	3966

prune658.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes199.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	15	14
done	15	14

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	8557×	body	80	valid
759.0ms	8808×	body	80	nan