Details

sample52.0ms

Algorithm

intervals

Results

21.0ms	299×	body	80	valid
2.0ms	12×	body	320	valid
2.0ms	7×	body	640	valid
1.0ms	3×	body	1280	valid
1.0ms	4×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
6	2115
5	992
4	474
3	157
2	47
1	21
0	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

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))

rewrite132.0ms

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:

14.0ms	(- (/ 2.0 3.0) z)
10.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
20.0ms	(* (- y x) 6.0)
85.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series231.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (/ 2.0 3.0) z)
92.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
39.0ms	(* (- y x) 6.0)
65.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5008
2	1631
1	450
0	156

prune572.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.0b	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.1b	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

17.0ms	(- (/ 2.0 3.0) z)
64.0ms	(* 6.0 (- (/ 2.0 3.0) z))
23.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
96.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ 2.0 3.0) z)
43.0ms	(* 6.0 (- (/ 2.0 3.0) z))
91.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
63.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify1.6s

Counts

109 → 109

Iterations

Iter	Nodes
done	5010
2	1675
1	463
0	163

prune636.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

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` `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 → 109

Calls

4 calls:

29.0ms	(* (- y x) 6.0)
17.0ms	(* (- y x) 6.0)
30.0ms	(* (* (- y x) 6.0) (- z))
35.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

series184.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- y x) 6.0)
46.0ms	(* (- y x) 6.0)
51.0ms	(* (* (- y x) 6.0) (- z))
39.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

simplify1.5s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	1663
1	482
0	169

prune594.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (- y x) 6.0) (- z))
0.3b	(/ (* 6.0 (- y x)) (* (cbrt 3.0) (cbrt 3.0)))
0.4b	(* (/ (* 6.0 (- y x)) (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)))
1.0b	(/ 2.0 (cbrt 3.0))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log`
46×	`add-cbrt-cube`
44×	`add-sqr-sqrt`
40×	`times-frac`
36×	`*-un-lft-identity` `add-cube-cbrt`
32×	`associate-r`
25×	`prod-exp` `cbrt-unprod`
22×	`cbrt-prod`
18×	`cbrt-undiv` `div-exp`
11×	`pow1`
7×	`associate-/r*`
6×	`associate-l`
5×	`associate-*l/`
4×	`pow-prod-down` `div-inv` `associate-/l*` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-*r/` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3--` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 152

Calls

4 calls:

46.0ms	(* (* (- y x) 6.0) (- z))
25.0ms	(/ (* 6.0 (- y x)) (* (cbrt 3.0) (cbrt 3.0)))
73.0ms	(* (/ (* 6.0 (- y x)) (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)))
8.0ms	(/ 2.0 (cbrt 3.0))

series409.0ms

Counts

4 → 10

Calls

4 calls:

39.0ms	(* (* (- y x) 6.0) (- z))
217.0ms	(/ (* 6.0 (- y x)) (* (cbrt 3.0) (cbrt 3.0)))
153.0ms	(* (/ (* 6.0 (- y x)) (* (cbrt 3.0) (cbrt 3.0))) (/ 2.0 (cbrt 3.0)))
0.0ms	(/ 2.0 (cbrt 3.0))

simplify2.3s

Counts

162 → 162

Iterations

Iter	Nodes
done	5001
2	3451
1	759
0	251

prune774.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes318.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample1.2s

Algorithm

intervals

Results

737.0ms	9438×	body	80	valid
69.0ms	161×	body	1280	valid
51.0ms	248×	body	640	valid
38.0ms	226×	body	320	valid
12.0ms	122×	body	160	valid