Details

sample60.0ms

Algorithm

intervals

Results

18.0ms	79×	body	1280	valid
14.0ms	61×	body	640	valid
5.0ms	20×	body	2560	valid
3.0ms	67×	body	80	valid
3.0ms	17×	body	320	valid
1.0ms	12×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	43	12
3	88	12
4	196	12
5	340	12
6	1400	12
done	5000	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
10.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite76.0ms

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-exp-log` `add-cube-cbrt` `add-cbrt-cube` `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:

8.0ms	(+ (* x y) z)
67.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ (* x y) z)
67.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify652.0ms

Counts

35 → 35

Iterations

Useful iterations: done (650.0ms)

Iter	Nodes	Cost
0	65	500
1	184	483
2	811	449
done	5001	447

prune121.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 44.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) z)
10.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
10.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
10.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite238.0ms

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-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`sub-neg` `flip3--` `flip--` `distribute-lft-out` `associate--r+` `difference-of-squares`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

4 → 65

Calls

4 calls:

16.0ms	(+ (* x y) z)
50.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
79.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
89.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (* x y) z)
54.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
49.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
71.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify644.0ms

Counts

77 → 77

Iterations

Useful iterations: done (639.0ms)

Iter	Nodes	Cost
0	65	1252
1	184	1207
2	811	1125
done	5001	1123

prune281.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 44.4b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
3.0b	(- (* (* x y) (* x y)) (* z z))
11.3b	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
31.3b	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

rewrite586.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
18×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
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×	`diff-log` `associate-/r*`
2×	`sub-neg` `pow-plus` `div-sub` `associate-/r/` `associate-/l/` `distribute-lft-out--`
1×	`cbrt-undiv` `pow2` `associate-+r-` `frac-2neg` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv` `distribute-lft-out` `associate--r+` `associate--r-`

Counts

4 → 101

Calls

4 calls:

54.0ms	(* (* x y) (* x y))
59.0ms	(- (* (* x y) (* x y)) (* z z))
310.0ms	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
159.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

series337.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* x y) (* x y))
73.0ms	(- (* (* x y) (* x y)) (* z z))
131.0ms	(- (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))

simplify1.4s

Counts

113 → 113

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	160	2219
1	457	2030
2	2386	1438
done	5001	1424

prune350.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 44.2b

localize17.0ms

Local error

Found 4 expressions with local error:

3.0b	(- (* x (* y (* x y))) (* z z))
3.0b	(* x (* y (* x y)))
13.6b	(- (fma x y z) (+ 1.0 (/ (- (* x (* y (* x y))) (* z z)) (- (* x y) z))))
31.3b	(/ (- (* x (* y (* x y))) (* z z)) (- (* x y) z))

rewrite626.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

65.0ms	(- (* x (* y (* x y))) (* z z))
57.0ms	(* x (* y (* x y)))
364.0ms	(- (fma x y z) (+ 1.0 (/ (- (* x (* y (* x y))) (* z z)) (- (* x y) z))))
137.0ms	(/ (- (* x (* y (* x y))) (* z z)) (- (* x y) z))

series285.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* x (* y (* x y))) (* z z))
54.0ms	(* x (* y (* x y)))
89.0ms	(- (fma x y z) (+ 1.0 (/ (- (* x (* y (* x y))) (* z z)) (- (* x y) z))))
68.0ms	(/ (- (* x (* y (* x y))) (* z z)) (- (* x y) z))

simplify1.8s

Counts

95 → 95

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	161	2065
1	451	1998
2	2491	1786
done	5001	1778

prune378.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 44.2b

regimes240.0ms

Accuracy

0% (1.6b remaining)

Error of 46.0b against oracle of 44.4b and baseline of 46.0b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	26
1	20	26
done	20	26

end0.0ms

sample2.8s

Algorithm

intervals

Results

838.0ms	2633×	body	1280	valid
719.0ms	635×	body	2560	valid
412.0ms	1588×	body	640	valid
242.0ms	726×	body	320	valid
166.0ms	2084×	body	80	valid
33.0ms	334×	body	160	valid