Details

sample46.0ms

Algorithm

intervals

Results

19.0ms	293×	body	80	valid
1.0ms	6×	body	640	valid
1.0ms	9×	body	320	valid
1.0ms	4×	body	1280	valid
0.0ms	3×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

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

rewrite165.0ms

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`
3×	`distribute-lft-out--`
2×	`times-frac` `associate-r/` `-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

28.0ms	(- (/ 2.0 3.0) z)
20.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
36.0ms	(* (- y x) 6.0)
76.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series236.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (/ 2.0 3.0) z)
94.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
41.0ms	(* (- y x) 6.0)
65.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.2s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	2315
1	450
0	156

prune514.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x) (* (- z) (* (- y x) 6.0)))
0.0b	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x)
0.0b	(* (- y x) 6.0)
0.2b	(* (- z) (* (- y x) 6.0))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

139.0ms	(+ (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x) (* (- z) (* (- y x) 6.0)))
25.0ms	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x)
17.0ms	(* (- y x) 6.0)
36.0ms	(* (- z) (* (- y x) 6.0))

series261.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(+ (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x) (* (- z) (* (- y x) 6.0)))
56.0ms	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x)
44.0ms	(* (- y x) 6.0)
65.0ms	(* (- z) (* (- y x) 6.0))

simplify1.2s

Counts

92 → 92

Iterations

Iter	Nodes
done	5002
2	2225
1	482
0	156

prune617.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x) (- (* (* 6.0 z) (- y x))))
0.0b	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x)
0.2b	(* (* 6.0 z) (- y x))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-log-exp`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
7×	`sum-log`
6×	`add-sqr-sqrt` `associate-*r/`
5×	`associate-r`
4×	`distribute-rgt-in` `associate-+r+` `distribute-neg-in` `sub-neg` `distribute-lft-in` `flip3-+` `frac-add` `add-cube-cbrt` `flip-+` `distribute-neg-frac`
3×	`flip3--` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--`
2×	`+-commutative` `neg-log`
1×	`neg-sub0` `associate-+l+` `associate-+r-` `associate-l` `unsub-neg` `*-commutative` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 64

Calls

3 calls:

181.0ms	(+ (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x) (- (* (* 6.0 z) (- y x))))
49.0ms	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x)
43.0ms	(* (* 6.0 z) (- y x))

series235.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(+ (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x) (- (* (* 6.0 z) (- y x))))
56.0ms	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) x)
65.0ms	(* (* 6.0 z) (- y x))

simplify1.8s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	3068
1	497
0	147

prune355.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.2b	(* (* 6.0 z) (- x))
0.3b	(* 6.0 (* y z))
0.3b	(* (* (- y x) 6.0) (/ 2.0 3.0))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-cbrt-cube` `add-exp-log`
27×	`associate-r`
21×	`add-sqr-sqrt` `pow1`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`prod-exp` `cbrt-unprod`
10×	`associate-l` `pow-prod-down`
9×	`times-frac`
8×	`associate-*l/`
4×	`*-commutative` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3--` `flip--`
2×	`frac-times` `cbrt-undiv` `div-exp`
1×	`neg-mul-1` `associate-*r/` `distribute-rgt-neg-out` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

35.0ms	(* (- y x) 6.0)
30.0ms	(* (* 6.0 z) (- x))
24.0ms	(* 6.0 (* y z))
52.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

series155.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (- y x) 6.0)
34.0ms	(* (* 6.0 z) (- x))
32.0ms	(* 6.0 (* y z))
55.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

simplify2.6s

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
2	3761
1	563
0	197

prune653.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes596.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	33
2	33
1	25
0	15

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.0s	9264×	body	80	valid
79.0ms	264×	body	640	valid
33.0ms	137×	body	1280	valid
29.0ms	199×	body	320	valid
16.0ms	122×	body	160	valid