Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

315×

body

valid

simplify27.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	16	12
2	28	12
3	39	12
4	46	12
5	52	12
6	55	12
done	55	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
4.3b	(* (/ x y) z)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r` `associate-*l/`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `div-inv` `sub-div`

Counts

2 → 46

Calls

2 calls:

26.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
10.0ms	(* (/ x y) z)

series67.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
21.0ms	(* (/ x y) z)

simplify1.1s

Counts

52 → 52

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	98	556
1	244	534
2	752	476
3	2556	476
done	5000	476

prune136.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x 4.0) (* x z))
2.2b	(/ (- (+ x 4.0) (* x z)) y)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `diff-log` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `div-sub` `div-exp` `associate--l+` `clear-num` `sum-log` `div-inv`

Counts

2 → 44

Calls

2 calls:

20.0ms	(- (+ x 4.0) (* x z))
33.0ms	(/ (- (+ x 4.0) (* x z)) y)

series67.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(- (+ x 4.0) (* x z))
46.0ms	(/ (- (+ x 4.0) (* x z)) y)

simplify976.0ms

Counts

50 → 50

Iterations

Useful iterations: done (974.0ms)

Iter	Nodes	Cost
0	83	705
1	207	685
2	622	629
3	2194	629
done	5000	628

prune118.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x 4.0) (* x z))
0.2b	(/ 1 (/ y (- (+ x 4.0) (* x z))))
2.2b	(/ y (- (+ x 4.0) (* x z)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 127

Calls

3 calls:

20.0ms	(- (+ x 4.0) (* x z))
21.0ms	(/ 1 (/ y (- (+ x 4.0) (* x z))))
17.0ms	(/ y (- (+ x 4.0) (* x z)))

series123.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- (+ x 4.0) (* x z))
46.0ms	(/ 1 (/ y (- (+ x 4.0) (* x z))))
56.0ms	(/ y (- (+ x 4.0) (* x z)))

simplify1.8s

Counts

136 → 136

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	213	2599
1	492	2352
2	1215	2135
3	4344	2075
done	5001	2074

prune231.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ x 4.0) (* x z))
0.2b	(/ 1 (* y (/ 1 (- (+ x 4.0) (* x z)))))
0.3b	(/ 1 (- (+ x 4.0) (* x z)))
1.9b	(* y (/ 1 (- (+ x 4.0) (* x z))))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
29×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `times-frac`
22×	`add-cube-cbrt`
20×	`div-exp` `add-cbrt-cube`
16×	`prod-exp`
15×	`associate-r`
10×	`pow1` `rec-exp` `1-exp`
9×	`add-log-exp`
6×	`cbrt-undiv` `associate-/r/` `associate-/l*`
4×	`associate-/r*` `cbrt-unprod`
3×	`flip3--` `pow-flip` `associate-l` `flip--` `div-inv` `unswap-sqr`
2×	`frac-2neg` `diff-log` `associate-*r/` `pow-prod-down` `clear-num` `un-div-inv` `inv-pow`
1×	`sub-neg` `associate--l+` `sum-log` `*-commutative`

Counts

4 → 125

Calls

4 calls:

19.0ms	(- (+ x 4.0) (* x z))
25.0ms	(/ 1 (* y (/ 1 (- (+ x 4.0) (* x z)))))
18.0ms	(/ 1 (- (+ x 4.0) (* x z)))
42.0ms	(* y (/ 1 (- (+ x 4.0) (* x z))))

series156.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (+ x 4.0) (* x z))
41.0ms	(/ 1 (* y (/ 1 (- (+ x 4.0) (* x z)))))
39.0ms	(/ 1 (- (+ x 4.0) (* x z)))
56.0ms	(* y (/ 1 (- (+ x 4.0) (* x z))))

simplify2.0s

Counts

137 → 137

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	189	2055
1	486	1762
2	1221	1506
3	4108	1480
done	5000	1479

prune222.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes153.0ms

Accuracy

62.2% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.8b

bsearch79.0ms

Steps

Iters	Range		Point
7	7.098827287593002e-142	1.0474405962160618e-139	7.438065996397021e-140
9	-6.582690336833318e+97	-4.6370901662035465e+92	-4.215108549341022e+93

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	42
1	28	42
done	28	42

end0.0ms

sample504.0ms

Algorithm

intervals

Results

298.0ms

10128×

body

valid