Details

sample56.0ms

Algorithm

intervals

Results

16.0ms	281×	body	80	valid
14.0ms	263×	body	80	nan

simplify4.4s

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

localize26.0ms

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))

rewrite313.0ms

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)))
254.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
22.0ms	(* 3.0 (sqrt x))
18.0ms	(/ 1.0 (* x 9.0))

series188.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ y (/ 1.0 (* x 9.0)))
71.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
57.0ms	(* 3.0 (sqrt x))
31.0ms	(/ 1.0 (* x 9.0))

simplify2.0s

Counts

131 → 131

Iterations

Useful iterations: done (2.0s)

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

prune334.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

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)))

rewrite525.0ms

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:

13.0ms	(+ y (/ 1.0 (* x 9.0)))
259.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
10.0ms	(/ 1.0 (* x 9.0))
229.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ y (/ 1.0 (* x 9.0)))
75.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
18.0ms	(/ 1.0 (* x 9.0))
79.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.9s

Counts

193 → 193

Iterations

Useful iterations: done (1.9s)

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

prune371.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

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

rewrite597.0ms

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:

25.0ms	(+ y (/ (/ 1.0 x) 9.0))
533.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
11.0ms	(* 3.0 (sqrt x))
13.0ms	(/ (/ 1.0 x) 9.0)

series199.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ y (/ (/ 1.0 x) 9.0))
89.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
58.0ms	(* 3.0 (sqrt x))
19.0ms	(/ (/ 1.0 x) 9.0)

simplify2.3s

Counts

180 → 180

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	330	2917
1	911	2626
2	4840	2301
done	5000	2298

prune565.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ (/ 1.0 x) 9.0))
0.1b	(* (- (+ y (/ (/ 1.0 x) 9.0)) 1.0) 3.0)
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* (* (- (+ y (/ (/ 1.0 x) 9.0)) 1.0) 3.0) (sqrt x))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

24.0ms	(+ y (/ (/ 1.0 x) 9.0))
763.0ms	(* (- (+ y (/ (/ 1.0 x) 9.0)) 1.0) 3.0)
12.0ms	(/ (/ 1.0 x) 9.0)
983.0ms	(* (* (- (+ y (/ (/ 1.0 x) 9.0)) 1.0) 3.0) (sqrt x))

series174.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ y (/ (/ 1.0 x) 9.0))
37.0ms	(* (- (+ y (/ (/ 1.0 x) 9.0)) 1.0) 3.0)
18.0ms	(/ (/ 1.0 x) 9.0)
88.0ms	(* (* (- (+ y (/ (/ 1.0 x) 9.0)) 1.0) 3.0) (sqrt x))

simplify1.7s

Counts

151 → 151

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	268	1974
1	671	1856
2	3036	1716
done	5000	1713

prune615.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	24
1	24	24
done	24	24

end0.0ms

sample2.4s

Algorithm

intervals

Results

977.0ms	8582×	body	80	valid
772.0ms	8370×	body	80	nan