Details

sample60.0ms

Algorithm

intervals

Results

21.0ms	324×	body	80	nan
17.0ms	272×	body	80	valid

simplify5.4s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize22.0ms

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` `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 → 119

Calls

4 calls:

18.0ms	(+ y (/ 1.0 (* x 9.0)))
210.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
6.0ms	(/ 1.0 (* x 9.0))
11.0ms	(* 3.0 (sqrt x))

series231.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ y (/ 1.0 (* x 9.0)))
103.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
22.0ms	(/ 1.0 (* x 9.0))
74.0ms	(* 3.0 (sqrt x))

simplify1.8s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	2128
1	654
0	230

prune619.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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-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` `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 → 181

Calls

4 calls:

10.0ms	(+ y (/ 1.0 (* x 9.0)))
237.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
12.0ms	(/ 1.0 (* x 9.0))
266.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ y (/ 1.0 (* x 9.0)))
86.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
31.0ms	(/ 1.0 (* x 9.0))
84.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.8s

Counts

193 → 193

Iterations

Iter	Nodes
done	5001
2	2173
1	728
0	277

prune685.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite649.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 185

Calls

4 calls:

22.0ms	(+ (/ 1.0 (* x 9.0)) y)
292.0ms	(* (sqrt x) (- (+ (/ 1.0 (* x 9.0)) y) 1.0))
9.0ms	(/ 1.0 (* x 9.0))
318.0ms	(* 3.0 (* (sqrt x) (- (+ (/ 1.0 (* x 9.0)) y) 1.0)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (/ 1.0 (* x 9.0)) y)
83.0ms	(* (sqrt x) (- (+ (/ 1.0 (* x 9.0)) y) 1.0))
29.0ms	(/ 1.0 (* x 9.0))
84.0ms	(* 3.0 (* (sqrt x) (- (+ (/ 1.0 (* x 9.0)) y) 1.0)))

simplify1.5s

Counts

197 → 197

Iterations

Iter	Nodes
done	5001
2	2207
1	732
0	277

prune671.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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))

rewrite244.0ms

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-cbrt-cube` `add-exp-log`
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--l+` `associate-r/` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `flip-+` `flip--` `difference-of-squares`

Counts

3 → 96

Calls

3 calls:

9.0ms	(+ y (/ 0.1111111111111111 x))
220.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
13.0ms	(* 3.0 (sqrt x))

series156.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ y (/ 0.1111111111111111 x))
77.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
50.0ms	(* 3.0 (sqrt x))

simplify1.2s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1590
1	560
0	192

prune322.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes177.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample1.9s

Algorithm

intervals

Results

896.0ms	8633×	body	80	nan
596.0ms	8530×	body	80	valid