Details

sample56.0ms

Algorithm

intervals

Results

15.0ms	75×	body	1280	valid
11.0ms	65×	body	80	valid
7.0ms	53×	body	640	valid
5.0ms	22×	body	2560	valid
3.0ms	28×	body	320	valid
1.0ms	13×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	43	12
3	90	12
4	191	12
5	341	12
6	1409	12
done	5000	12

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.3b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
12.8b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite91.0ms

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:

11.0ms	(+ (* x y) z)
78.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* x y) z)
52.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify560.0ms

Counts

35 → 35

Iterations

Useful iterations: done (558.0ms)

Iter	Nodes	Cost
0	65	500
1	182	483
2	828	449
done	5000	447

prune199.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 44.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) z)
12.8b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
12.8b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
12.8b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

11.0ms	(+ (* x y) z)
75.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
80.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
48.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (* x y) z)
63.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
56.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
67.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify666.0ms

Counts

77 → 77

Iterations

Useful iterations: done (658.0ms)

Iter	Nodes	Cost
0	65	1252
1	182	1207
2	828	1125
done	5000	1123

prune445.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 44.7b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
3.4b	(- (* (* x y) (* x y)) (* z z))
14.0b	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
30.4b	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

rewrite371.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
18×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
17×	`pow-prod-down`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`times-frac`
11×	`add-log-exp`
8×	`prod-exp` `cbrt-unprod`
6×	`difference-of-squares`
4×	`flip3--` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`associate-/r*` `diff-log`
2×	`sub-neg` `pow-plus` `div-sub` `associate-/r/` `distribute-lft-out--` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `associate-+r-` `sum-log` `frac-2neg` `swap-sqr` `div-exp` `associate-r` `associate-l` `*-commutative` `div-inv` `distribute-lft-out` `associate--r+` `associate--r-`

Counts

4 → 101

Calls

4 calls:

27.0ms	(* (* x y) (* x y))
26.0ms	(- (* (* x y) (* x y)) (* z z))
226.0ms	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
86.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

series332.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* x y) (* x y))
88.0ms	(- (* (* x y) (* x y)) (* z z))
94.0ms	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
109.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

simplify1.1s

Counts

113 → 113

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	160	2219
1	458	2030
2	2396	1438
done	5000	1424

prune589.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 44.4b

localize45.0ms

Local error

Found 4 expressions with local error:

9.6b	(cbrt (- (* x y) z))
9.6b	(cbrt (- (* x y) z))
9.6b	(cbrt (- (* x y) z))
33.5b	(- (fma x y z) (+ 1.0 (* (/ (+ (* x y) z) (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z)))) (/ (- (* x y) z) (cbrt (- (* x y) z))))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

11.0ms	(cbrt (- (* x y) z))
11.0ms	(cbrt (- (* x y) z))
10.0ms	(cbrt (- (* x y) z))
24.0ms	(- (fma x y z) (+ 1.0 (* (/ (+ (* x y) z) (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z)))) (/ (- (* x y) z) (cbrt (- (* x y) z))))))

series645.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt (- (* x y) z))
187.0ms	(cbrt (- (* x y) z))
186.0ms	(cbrt (- (* x y) z))
71.0ms	(- (fma x y z) (+ 1.0 (* (/ (+ (* x y) z) (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z)))) (/ (- (* x y) z) (cbrt (- (* x y) z))))))

simplify1.2s

Counts

67 → 67

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	104	1620
1	264	1567
2	725	1450
3	2675	1111
done	5000	1081

prune413.0ms

Pruning

23 alts after pruning (21 fresh and 2 done)

Merged error: 44.4b

regimes733.0ms

Accuracy

0% (0.8b remaining)

Error of 44.6b against oracle of 43.8b and baseline of 44.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	16	41
done	16	41

end0.0ms

sample2.7s

Algorithm

intervals

Results

827.0ms	2580×	body	1280	valid
714.0ms	608×	body	2560	valid
406.0ms	1599×	body	640	valid
190.0ms	698×	body	320	valid
144.0ms	2163×	body	80	valid
35.0ms	352×	body	160	valid