Details

sample85.0ms

Algorithm

intervals

Results

40.0ms	294×	body	80	nan
22.0ms	275×	body	80	valid

simplify5.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4987
8	2165
7	1360
6	876
5	580
4	389
3	184
2	62
1	24
0	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

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

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
24×	`prod-diff`
16×	`add-cbrt-cube` `add-exp-log`
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` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `div-exp` `associate--l+` `associate-r/` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `flip3-+` `flip3--` `flip-+` `div-inv` `flip--` `difference-of-squares`

Counts

4 → 123

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))
10.0ms	(/ 1.0 (* x 9.0))
10.0ms	(* 3.0 (sqrt x))

series210.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ y (/ 1.0 (* x 9.0)))
91.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
21.0ms	(/ 1.0 (* x 9.0))
58.0ms	(* 3.0 (sqrt x))

simplify1.4s

Counts

135 → 135

Iterations

Iter	Nodes
done	5002
2	2010
1	656
0	234

prune541.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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)))

rewrite561.0ms

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-cbrt-cube` `add-exp-log`
11×	`pow1`
9×	`associate-l`
7×	`associate-r`
6×	`sub-neg` `associate--l+` `associate-*r/` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `sqrt-prod` `insert-posit16` `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` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `flip3-+` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 185

Calls

4 calls:

11.0ms	(+ y (/ 1.0 (* x 9.0)))
275.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
8.0ms	(/ 1.0 (* x 9.0))
256.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ y (/ 1.0 (* x 9.0)))
71.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
25.0ms	(/ 1.0 (* x 9.0))
78.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.6s

Counts

197 → 197

Iterations

Iter	Nodes
done	5001
2	2193
1	732
0	281

prune506.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
16×	`pow1`
15×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-l`
8×	`associate-r` `prod-exp` `cbrt-unprod`
7×	`pow-prod-down`
4×	`expm1-log1p-u` `sqrt-prod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `unswap-sqr`
1×	`clear-num` `associate-/r*` `frac-2neg` `flip3--` `div-inv` `flip--`

Counts

4 → 93

Calls

4 calls:

18.0ms	(* y (sqrt x))
15.0ms	(/ 1.0 (* x 9.0))
109.0ms	(* 3.0 (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x)))
20.0ms	(* 3.0 (* y (sqrt x)))

series245.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* y (sqrt x))
23.0ms	(/ 1.0 (* x 9.0))
91.0ms	(* 3.0 (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x)))
88.0ms	(* 3.0 (* y (sqrt x)))

simplify1.5s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	1663
1	476
0	190

prune514.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize19.0ms

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)))

rewrite1.1s

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-cbrt-cube` `add-exp-log`
13×	`associate-/l*`
11×	`pow1`
9×	`associate-l`
7×	`associate-r`
6×	`sub-neg` `associate--l+` `associate-*r/` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-/r*` `fma-def` `div-exp`
2×	`flip3--` `*-commutative` `flip--` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip-+` `difference-of-squares` `associate-/l/`

Counts

4 → 234

Calls

4 calls:

33.0ms	(+ y (/ (/ 1.0 x) 9.0))
547.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
12.0ms	(/ (/ 1.0 x) 9.0)
525.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ y (/ (/ 1.0 x) 9.0))
100.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
35.0ms	(/ (/ 1.0 x) 9.0)
101.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

simplify1.8s

Counts

246 → 246

Iterations

Iter	Nodes
done	5001
2	2772
1	982
0	382

prune808.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes185.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s	8644×	body	80	nan
654.0ms	8473×	body	80	valid