Details

sample42.0ms

Algorithm

intervals

Results

23.0ms	310×	body	80	valid
3.0ms	10×	body	640	valid
2.0ms	5×	body	1280	valid
1.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1693
4	517
3	160
2	48
1	21
0	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b	(* (- y x) 6.0)
0.5b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`associate-*l/`
9×	`associate-r`
8×	`flip3--` `flip--` `add-log-exp`
7×	`add-cube-cbrt`
6×	`associate-l`
5×	`sub-neg` `difference-of-squares`
4×	`distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`distribute-lft-out--`
2×	`times-frac` `associate-r/` `-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

19.0ms	(- (/ 2.0 3.0) z)
19.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
30.0ms	(* (- y x) 6.0)
60.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series185.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ 2.0 3.0) z)
69.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
34.0ms	(* (- y x) 6.0)
59.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.5s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2354
1	454
0	160

prune372.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(* (- y x) 6.0)
0.5b	(* (* (- y x) 6.0) (- z))
0.5b	(* (* (- y x) 6.0) (/ 2.0 3.0))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-r`
26×	`add-sqr-sqrt`
25×	`add-cbrt-cube` `add-exp-log`
22×	`*-un-lft-identity`
18×	`pow1` `add-cube-cbrt`
14×	`associate-*l/`
12×	`associate-l`
11×	`prod-exp` `cbrt-unprod`
9×	`times-frac`
8×	`pow-prod-down`
5×	`flip3--` `flip--`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`frac-times` `cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`neg-mul-1` `associate-*r/` `distribute-rgt-neg-out` `div-inv`

Counts

4 → 113

Calls

4 calls:

18.0ms	(* (- y x) 6.0)
15.0ms	(* (- y x) 6.0)
27.0ms	(* (* (- y x) 6.0) (- z))
32.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

series143.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (- y x) 6.0)
34.0ms	(* (- y x) 6.0)
37.0ms	(* (* (- y x) 6.0) (- z))
34.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

simplify2.3s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	3248
1	488
0	172

prune634.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (- y x) 6.0) (/ 2.0 3.0)) (* (* z (- x y)) 6.0))
0.0b	(* (- y x) 6.0)
0.3b	(* (* z (- x y)) 6.0)
0.5b	(* (* (- y x) 6.0) (/ 2.0 3.0))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-*l/`
23×	`add-cbrt-cube` `add-exp-log`
19×	`associate-r`
18×	`add-sqr-sqrt`
16×	`pow1` `*-un-lft-identity`
15×	`associate-*r/`
14×	`add-cube-cbrt`
13×	`flip3--` `flip--`
10×	`frac-add` `prod-exp` `cbrt-unprod`
9×	`times-frac`
7×	`associate-l` `pow-prod-down`
6×	`frac-times` `add-log-exp`
4×	`insert-posit16`
3×	`*-commutative`
2×	`cbrt-undiv` `div-exp`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

44.0ms	(+ (* (* (- y x) 6.0) (/ 2.0 3.0)) (* (* z (- x y)) 6.0))
20.0ms	(* (- y x) 6.0)
29.0ms	(* (* z (- x y)) 6.0)
32.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

series233.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(+ (* (* (- y x) 6.0) (/ 2.0 3.0)) (* (* z (- x y)) 6.0))
32.0ms	(* (- y x) 6.0)
57.0ms	(* (* z (- x y)) 6.0)
49.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

simplify998.0ms

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
1	792
0	233

prune524.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ (* 4.0 (- y x)) (* (* z (- x y)) 6.0)))
0.0b	(* z (- x y))
0.0b	(+ (* 4.0 (- y x)) (* (* z (- x y)) 6.0))
0.3b	(* (* z (- x y)) 6.0)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*r/`
11×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-log-exp`
8×	`associate-r`
7×	`add-cube-cbrt`
6×	`flip3--` `associate-*l/` `flip--`
4×	`distribute-rgt-in` `associate-+l+` `sum-log` `sub-neg` `distribute-lft-in` `associate-l` `pow-prod-down` `frac-add` `prod-exp` `cbrt-unprod` `insert-posit16`
2×	`+-commutative` `flip3-+` `*-commutative` `flip-+`
1×	`associate-+r+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

32.0ms	(+ x (+ (* 4.0 (- y x)) (* (* z (- x y)) 6.0)))
24.0ms	(* z (- x y))
25.0ms	(+ (* 4.0 (- y x)) (* (* z (- x y)) 6.0))
32.0ms	(* (* z (- x y)) 6.0)

series232.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(+ x (+ (* 4.0 (- y x)) (* (* z (- x y)) 6.0)))
41.0ms	(* z (- x y))
66.0ms	(+ (* 4.0 (- y x)) (* (* z (- x y)) 6.0))
58.0ms	(* (* z (- x y)) 6.0)

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	2252
1	513
0	168

prune411.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes349.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

937.0ms	9550×	body	80	valid
133.0ms	244×	body	640	valid
105.0ms	140×	body	1280	valid
71.0ms	162×	body	320	valid
19.0ms	112×	body	160	valid