Details

sample58.0ms

Algorithm

intervals

Results

15.0ms	281×	body	80	nan
15.0ms	274×	body	80	valid

simplify3.6s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize30.0ms

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))
0.4b	(/ 1.0 (* x 9.0))

rewrite286.0ms

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:

18.0ms	(+ y (/ 1.0 (* x 9.0)))
235.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
14.0ms	(* 3.0 (sqrt x))
12.0ms	(/ 1.0 (* x 9.0))

series212.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ y (/ 1.0 (* x 9.0)))
88.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
57.0ms	(* 3.0 (sqrt x))
26.0ms	(/ 1.0 (* x 9.0))

simplify1.9s

Counts

131 → 131

Iterations

Useful iterations: done (1.9s)

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

prune480.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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)))
0.4b	(/ 1.0 (* x 9.0))

rewrite560.0ms

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:

14.0ms	(+ y (/ 1.0 (* x 9.0)))
282.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
234.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
13.0ms	(/ 1.0 (* x 9.0))

series220.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ y (/ 1.0 (* x 9.0)))
70.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
79.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
28.0ms	(/ 1.0 (* x 9.0))

simplify1.9s

Counts

193 → 193

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	277	4666
1	731	3973
2	3717	3341
done	5001	3335

prune550.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ 0.1111111111111111 x))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
0.3b	(* 3.0 (sqrt x))

rewrite241.0ms

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:

11.0ms	(+ y (/ 0.1111111111111111 x))
216.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
11.0ms	(* 3.0 (sqrt x))

series166.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ y (/ 0.1111111111111111 x))
83.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
44.0ms	(* 3.0 (sqrt x))

simplify1.7s

Counts

105 → 105

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	192	1851
1	563	1581
2	3260	1346
done	5000	1271

prune372.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.1b	(* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.4b	(* (* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0)) (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

rewrite570.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
29×	`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-r/` `associate-l*` `pow-prod-down` `log1p-expm1-u`
3×	`fma-def` `times-frac` `sqrt-prod` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `associate-l/` `associate--l+` `-commutative` `flip--` `distribute-lft-out--`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sum-log` `flip-+` `div-inv` `difference-of-squares` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

15.0ms	(+ y (/ 1.0 (* x 9.0)))
264.0ms	(* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0))
266.0ms	(* (* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0)) (sqrt x))
19.0ms	(/ 1.0 (* x 9.0))

series207.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ y (/ 1.0 (* x 9.0)))
41.0ms	(* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0))
107.0ms	(* (* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0)) (sqrt x))
20.0ms	(/ 1.0 (* x 9.0))

simplify1.5s

Counts

132 → 132

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	221	2259
1	562	1973
2	2775	1673
done	5002	1574

prune454.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes217.0ms

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

sample2.2s

Algorithm

intervals

Results

1.0s	8579×	body	80	nan
580.0ms	8523×	body	80	valid