Details

sample53.0ms

Algorithm

intervals

Results

13.0ms	294×	body	80	nan
13.0ms	279×	body	80	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1794
5	791
4	440
3	188
2	64
1	24
0	12

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite241.0ms

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:

13.0ms	(+ y (/ 1.0 (* x 9.0)))
12.0ms	(/ 1.0 (* x 9.0))
195.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
16.0ms	(* 3.0 (sqrt x))

series190.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ y (/ 1.0 (* x 9.0)))
22.0ms	(/ 1.0 (* x 9.0))
82.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
49.0ms	(* 3.0 (sqrt x))

simplify1.6s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	3951
1	655
0	230

prune579.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

12.0ms	(/ 1.0 (* 9.0 x))
14.0ms	(* y (sqrt x))
99.0ms	(* (* (- (/ 1.0 (* 9.0 x)) 1.0) 3.0) (sqrt x))
34.0ms	(* (* y (sqrt x)) 3.0)

series268.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ 1.0 (* 9.0 x))
59.0ms	(* y (sqrt x))
92.0ms	(* (* (- (/ 1.0 (* 9.0 x)) 1.0) 3.0) (sqrt x))
84.0ms	(* (* y (sqrt x)) 3.0)

simplify1.2s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	2729
1	501
0	192

prune639.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 3.0 (+ (- (/ 1.0 (* 9.0 x)) 1.0) y))
0.2b	(/ 1.0 (* 9.0 x))
0.3b	(* (* 3.0 (+ (- (/ 1.0 (* 9.0 x)) 1.0) y)) (sqrt x))

rewrite718.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-cbrt-cube` `add-exp-log`
14×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `associate-r`
10×	`pow1`
9×	`add-cube-cbrt`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `associate-*r/`
3×	`expm1-log1p-u` `times-frac` `sqrt-prod` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `flip3-+` `div-exp` `associate-l/` `-commutative` `flip-+` `distribute-lft-out`
1×	`distribute-rgt-in` `clear-num` `associate-/r*` `frac-2neg` `distribute-lft-in` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

308.0ms	(* 3.0 (+ (- (/ 1.0 (* 9.0 x)) 1.0) y))
12.0ms	(/ 1.0 (* 9.0 x))
396.0ms	(* (* 3.0 (+ (- (/ 1.0 (* 9.0 x)) 1.0) y)) (sqrt x))

series196.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* 3.0 (+ (- (/ 1.0 (* 9.0 x)) 1.0) y))
31.0ms	(/ 1.0 (* 9.0 x))
111.0ms	(* (* 3.0 (+ (- (/ 1.0 (* 9.0 x)) 1.0) y)) (sqrt x))

simplify1.1s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	2048
1	404
0	152

prune433.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (/ 0.1111111111111111 x) 1.0) y)
0.1b	(* 3.0 (+ (- (/ 0.1111111111111111 x) 1.0) y))
0.3b	(* (* 3.0 (+ (- (/ 0.1111111111111111 x) 1.0) y)) (sqrt x))

rewrite672.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
42×	`add-cube-cbrt`
41×	`associate-+l+`
39×	`prod-diff`
28×	`times-frac`
11×	`associate-r`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
6×	`fma-def`
4×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod` `distribute-lft-out`
3×	`expm1-log1p-u` `flip3-+` `sqrt-prod` `flip-+` `log1p-expm1-u` `div-inv` `distribute-lft-out--`
2×	`sum-log` `associate-l/` `-commutative` `difference-of-squares`
1×	`distribute-rgt-in` `+-commutative` `sub-neg` `distribute-lft-in` `diff-log` `associate-+l-` `unswap-sqr`

Counts

3 → 115

Calls

3 calls:

102.0ms	(+ (- (/ 0.1111111111111111 x) 1.0) y)
287.0ms	(* 3.0 (+ (- (/ 0.1111111111111111 x) 1.0) y))
276.0ms	(* (* 3.0 (+ (- (/ 0.1111111111111111 x) 1.0) y)) (sqrt x))

series136.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (- (/ 0.1111111111111111 x) 1.0) y)
32.0ms	(* 3.0 (+ (- (/ 0.1111111111111111 x) 1.0) y))
70.0ms	(* (* 3.0 (+ (- (/ 0.1111111111111111 x) 1.0) y)) (sqrt x))

simplify1.1s

Counts

124 → 124

Iterations

Iter	Nodes
done	5002
2	1866
1	371
0	140

prune714.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes162.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	13

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.0s	8527×	body	80	valid
654.0ms	8330×	body	80	nan