Details

sample110.0ms

Algorithm

intervals

Results

38.0ms	75×	body	1280	valid
24.0ms	59×	body	640	valid
14.0ms	23×	body	2560	valid
10.0ms	31×	body	320	valid
7.0ms	60×	body	80	valid
2.0ms	8×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
10	2096
9	1969
8	1359
7	703
6	446
5	291
4	169
3	76
2	42
1	18
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.6b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
10.6b	(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sum-log`
3×	`diff-log`
2×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

2 → 29

Calls

2 calls:

12.0ms	(+ (* x y) z)
41.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

series72.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (* x y) z)
49.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify1.0s

Counts

35 → 35

Iterations

Iter	Nodes
3	2810
2	741
1	184
0	65

prune396.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 46.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) z)
0.1b	(* (- (* x y) z) (+ (* x y) z))
12.7b	(- (fma x y z) (+ 1 (/ (* (- (* x y) z) (+ (* x y) z)) (- (* x y) z))))
27.6b	(/ (* (- (* x y) z) (+ (* x y) z)) (- (* x y) z))

rewrite620.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
9×	`flip3--` `flip--`
8×	`frac-times` `add-cube-cbrt` `associate-/l/`
6×	`pow1` `flip3-+` `flip-+`
4×	`associate-l/` `associate-r/`
3×	`associate-/r` `times-frac` `diff-log` `associate-r` `associate-l*`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out--`
1×	`distribute-rgt-in` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `associate--r+` `difference-of-squares` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

12.0ms	(- (* x y) z)
463.0ms	(* (- (* x y) z) (+ (* x y) z))
85.0ms	(- (fma x y z) (+ 1 (/ (* (- (* x y) z) (+ (* x y) z)) (- (* x y) z))))
57.0ms	(/ (* (- (* x y) z) (+ (* x y) z)) (- (* x y) z))

series201.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* x y) z)
70.0ms	(* (- (* x y) z) (+ (* x y) z))
51.0ms	(- (fma x y z) (+ 1 (/ (* (- (* x y) z) (+ (* x y) z)) (- (* x y) z))))
36.0ms	(/ (* (- (* x y) z) (+ (* x y) z)) (- (* x y) z))

simplify770.0ms

Counts

100 → 100

Iterations

Iter	Nodes
2	2147
1	472
0	146

prune1.2s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 45.7b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ z (* x y))
0.2b	(/ 1 (/ 1 (+ z (* x y))))
0.4b	(/ 1 (+ z (* x y)))
15.8b	(- (fma x y z) (+ 1 (/ 1 (/ 1 (+ z (* x y))))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
63×	`*-un-lft-identity`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt`
27×	`add-exp-log`
18×	`associate-/r*`
16×	`div-exp`
11×	`add-cbrt-cube` `associate-/r/` `add-log-exp`
8×	`rec-exp` `1-exp`
7×	`pow1` `div-inv`
6×	`flip3-+` `flip-+` `associate-/l*`
5×	`pow-flip`
4×	`cbrt-undiv`
3×	`distribute-lft-out--` `inv-pow`
2×	`clear-num` `sum-log` `frac-2neg` `diff-log` `distribute-lft-out`
1×	`+-commutative` `sub-neg` `flip3--` `flip--` `remove-double-div` `associate--r+` `difference-of-squares`

Counts

4 → 155

Calls

4 calls:

9.0ms	(+ z (* x y))
19.0ms	(/ 1 (/ 1 (+ z (* x y))))
17.0ms	(/ 1 (+ z (* x y)))
48.0ms	(- (fma x y z) (+ 1 (/ 1 (/ 1 (+ z (* x y))))))

series185.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ z (* x y))
29.0ms	(/ 1 (/ 1 (+ z (* x y))))
71.0ms	(/ 1 (+ z (* x y)))
46.0ms	(- (fma x y z) (+ 1 (/ 1 (/ 1 (+ z (* x y))))))

simplify2.3s

Counts

167 → 167

Iterations

Iter	Nodes
3	2619
2	1001
1	501
0	203

prune1.9s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 45.5b

localize29.0ms

Local error

Found 2 expressions with local error:

1.5b	(- (+ (fma x y z) (- -1 (* x y))) z)
9.7b	(+ (fma x y z) (- -1 (* x y)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`*-un-lft-identity`
5×	`diff-log`
4×	`add-sqr-sqrt` `sum-log`
2×	`pow1` `associate-+r+` `associate-+r-` `sub-neg` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `distribute-lft-out` `distribute-lft-out--`
1×	`associate--l-` `+-commutative` `flip3-+` `flip3--` `associate--l+` `flip-+` `flip--` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

68.0ms	(- (+ (fma x y z) (- -1 (* x y))) z)
9.0ms	(+ (fma x y z) (- -1 (* x y)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- (+ (fma x y z) (- -1 (* x y))) z)
41.0ms	(+ (fma x y z) (- -1 (* x y)))

simplify597.0ms

Counts

41 → 41

Iterations

Iter	Nodes
3	2580
2	484
1	160
0	66

prune432.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 45.5b

regimes545.0ms

Accuracy

0% (0.9b remaining)

Error of 45.1b against oracle of 44.2b and baseline of 45.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	18
1	18
0	14

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.2s	2650×	body	1280	valid
627.0ms	1606×	body	640	valid
479.0ms	347×	body	160	valid
278.0ms	594×	body	2560	valid
277.0ms	2077×	body	80	valid
226.0ms	726×	body	320	valid