Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

297×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	164
1	13	164
2	19	164
3	20	164
done	20	164

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (/ x 2.0) (* y x)) z)
0.0b	(+ (/ x 2.0) (* y x))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

83.0ms	(+ (+ (/ x 2.0) (* y x)) z)
13.0ms	(+ (/ x 2.0) (* y x))

series131.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (+ (/ x 2.0) (* y x)) z)
77.0ms	(+ (/ x 2.0) (* y x))

simplify2.1s

Counts

31 → 31

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	55	7528
1	163	6646
2	537	6406
3	1857	6406
done	5000	6406

prune214.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ y 0.5)) z)
0.0b	(* x (+ y 0.5))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

18.0ms	(+ (* x (+ y 0.5)) z)
32.0ms	(* x (+ y 0.5))

series98.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ (* x (+ y 0.5)) z)
49.0ms	(* x (+ y 0.5))

simplify3.7s

Counts

42 → 42

Iterations

Useful iterations: 2 (218.0ms)

Iter	Nodes	Cost
0	70	7386
1	208	6602
2	682	6522
3	3771	6522
done	5028	6522

prune198.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (/ x 2.0) (* y x)) z)) (cbrt (+ (+ (/ x 2.0) (* y x)) z)))
0.6b	(cbrt (+ (+ (/ x 2.0) (* y x)) z))
0.6b	(cbrt (+ (+ (/ x 2.0) (* y x)) z))
0.6b	(cbrt (+ (+ (/ x 2.0) (* y x)) z))

rewrite472.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

337.0ms	(* (cbrt (+ (+ (/ x 2.0) (* y x)) z)) (cbrt (+ (+ (/ x 2.0) (* y x)) z)))
49.0ms	(cbrt (+ (+ (/ x 2.0) (* y x)) z))
39.0ms	(cbrt (+ (+ (/ x 2.0) (* y x)) z))
45.0ms	(cbrt (+ (+ (/ x 2.0) (* y x)) z))

series876.0ms

Counts

4 → 12

Calls

4 calls:

293.0ms	(* (cbrt (+ (+ (/ x 2.0) (* y x)) z)) (cbrt (+ (+ (/ x 2.0) (* y x)) z)))
198.0ms	(cbrt (+ (+ (/ x 2.0) (* y x)) z))
193.0ms	(cbrt (+ (+ (/ x 2.0) (* y x)) z))
192.0ms	(cbrt (+ (+ (/ x 2.0) (* y x)) z))

simplify3.2s

Counts

107 → 107

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	161	53974
1	414	45301
2	1121	45059
3	3305	44379
done	5000	44259

prune506.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ y 0.5))
0.1b	(* (* (* x (+ y 0.5)) (* x (+ y 0.5))) (* x (+ y 0.5)))
0.1b	(* (* x (+ y 0.5)) (* x (+ y 0.5)))
39.5b	(cbrt (* (* (* x (+ y 0.5)) (* x (+ y 0.5))) (* x (+ y 0.5))))

rewrite581.0ms

Algorithm

rewrite-expression-head

Rules

200×	`pow1`
140×	`associate-*r/`
87×	`pow-prod-down`
61×	`flip3-+` `flip-+`
60×	`frac-times`
59×	`add-cbrt-cube` `add-exp-log`
40×	`prod-exp` `cbrt-unprod`
38×	`pow-prod-up`
30×	`associate-*l/`
26×	`cbrt-div`
19×	`pow-plus`
16×	`pow-sqr`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`associate-r` `add-cube-cbrt`
5×	`associate-l`
4×	`pow2` `add-log-exp`
3×	`*-commutative`
2×	`pow3`
1×	`cbrt-prod` `pow1/3` `swap-sqr` `rem-cbrt-cube` `distribute-lft-out` `unswap-sqr`

Counts

4 → 209

Calls

4 calls:

31.0ms	(* x (+ y 0.5))
197.0ms	(* (* (* x (+ y 0.5)) (* x (+ y 0.5))) (* x (+ y 0.5)))
73.0ms	(* (* x (+ y 0.5)) (* x (+ y 0.5)))
256.0ms	(cbrt (* (* (* x (+ y 0.5)) (* x (+ y 0.5))) (* x (+ y 0.5))))

series292.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* x (+ y 0.5))
95.0ms	(* (* (* x (+ y 0.5)) (* x (+ y 0.5))) (* x (+ y 0.5)))
51.0ms	(* (* x (+ y 0.5)) (* x (+ y 0.5)))
82.0ms	(cbrt (* (* (* x (+ y 0.5)) (* x (+ y 0.5))) (* x (+ y 0.5))))

simplify4.2s

Counts

221 → 221

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	239	84648
1	701	62374
2	3615	61385
done	5131	58225

prune788.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes282.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	164
1	11	164
done	11	164

end0.0ms

sample1.2s

Algorithm

intervals

Results

876.0ms	9186×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid