Details

sample29.0ms

Algorithm

intervals

Results

10.0ms

290×

body

valid

simplify43.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	13	7
2	31	7
3	57	7
4	65	7
done	65	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (* y 4.0) z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

9.0ms

(- x (* (* y 4.0) z))

series86.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

(- x (* (* y 4.0) z))

simplify1.8s

Counts

15 → 15

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	32	172
1	84	165
2	294	151
3	1463	151
done	5000	151

prune67.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y 4.0) z))
0.3b	(* (* (* y 4.0) z) (* (* y 4.0) z))
2.1b	(- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z)))
27.5b	(/ (- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ x (* (* y 4.0) z)))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

118×	`pow1`
66×	`pow-prod-down`
42×	`add-exp-log` `add-cbrt-cube`
27×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`pow-sqr` `pow-prod-up`
8×	`add-log-exp`
5×	`difference-of-squares`
4×	`associate-/l*`
3×	`pow-plus` `associate-/r*`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

4 → 120

Calls

4 calls:

6.0ms	(+ x (* (* y 4.0) z))
174.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
17.0ms	(- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z)))
54.0ms	(/ (- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ x (* (* y 4.0) z)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ x (* (* y 4.0) z))
59.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
158.0ms	(- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z)))
112.0ms	(/ (- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ x (* (* y 4.0) z)))

simplify2.4s

Counts

132 → 132

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	158	2589
1	497	2301
2	3167	1937
done	5001	1935

prune476.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y 4.0) z))
0.0b	(/ (+ x (* (* y 4.0) z)) (/ (+ x (* (* y 4.0) z)) (- x (* (* y 4.0) z))))
0.0b	(- x (* (* y 4.0) z))
0.0b	(/ (+ x (* (* y 4.0) z)) (- x (* (* y 4.0) z)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
11×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
8×	`add-log-exp`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv` `div-exp` `associate-/l/`
3×	`flip3-+` `flip-+`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 134

Calls

4 calls:

6.0ms	(+ x (* (* y 4.0) z))
54.0ms	(/ (+ x (* (* y 4.0) z)) (/ (+ x (* (* y 4.0) z)) (- x (* (* y 4.0) z))))
5.0ms	(- x (* (* y 4.0) z))
45.0ms	(/ (+ x (* (* y 4.0) z)) (- x (* (* y 4.0) z)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ x (* (* y 4.0) z))
76.0ms	(/ (+ x (* (* y 4.0) z)) (/ (+ x (* (* y 4.0) z)) (- x (* (* y 4.0) z))))
65.0ms	(- x (* (* y 4.0) z))
90.0ms	(/ (+ x (* (* y 4.0) z)) (- x (* (* y 4.0) z)))

simplify3.1s

Counts

146 → 146

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	193	4456
1	541	4310
2	3855	3496
done	5001	3495

prune696.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (* y 4.0) z))
0.1b	(/ 1 (- x (* (* y 4.0) z)))
0.1b	(/ 1 (/ 1 (- x (* (* y 4.0) z))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
55×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
26×	`add-exp-log`
18×	`associate-/r*`
16×	`div-exp`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`rec-exp` `1-exp`
6×	`pow1` `flip3--` `flip--` `div-inv` `associate-/l*`
5×	`pow-flip` `add-log-exp`
4×	`cbrt-undiv`
3×	`inv-pow`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `diff-log` `remove-double-div`

Counts

3 → 138

Calls

3 calls:

11.0ms	(- x (* (* y 4.0) z))
11.0ms	(/ 1 (- x (* (* y 4.0) z)))
23.0ms	(/ 1 (/ 1 (- x (* (* y 4.0) z))))

series222.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- x (* (* y 4.0) z))
81.0ms	(/ 1 (- x (* (* y 4.0) z)))
80.0ms	(/ 1 (/ 1 (- x (* (* y 4.0) z))))

simplify2.2s

Counts

147 → 147

Iterations

Useful iterations: 2 (809.0ms)

Iter	Nodes	Cost
0	174	2581
1	454	1898
2	2683	1778
done	5002	1778

prune429.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes271.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	13	23
done	13	23

end0.0ms

sample826.0ms

Algorithm

intervals

Results

368.0ms

9155×

body

valid