Details

sample58.0ms

Algorithm

intervals

Results

22.0ms	88×	body	1280	valid
7.0ms	38×	body	640	valid
6.0ms	22×	body	2560	valid
4.0ms	73×	body	80	valid
3.0ms	18×	body	320	valid
2.0ms	17×	body	160	valid

simplify1.1s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
11.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite89.0ms

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:

9.0ms	(+ (* x y) z)
79.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series80.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (* x y) z)
56.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify540.0ms

Counts

35 → 35

Iterations

Useful iterations: done (539.0ms)

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

prune91.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 42.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
11.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite70.0ms

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:

9.0ms	(+ (* x y) z)
60.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (* x y) z)
48.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify532.0ms

Counts

35 → 35

Iterations

Useful iterations: done (530.0ms)

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

prune178.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 42.5b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
3.8b	(- (* (* x y) (* x y)) (* z z))
13.0b	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
29.3b	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

rewrite559.0ms

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:

57.0ms	(* (* x y) (* x y))
59.0ms	(- (* (* x y) (* x y)) (* z z))
321.0ms	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
115.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

series326.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* x y) (* x y))
87.0ms	(- (* (* x y) (* x y)) (* z z))
104.0ms	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
82.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

simplify2.0s

Counts

113 → 113

Iterations

Useful iterations: done (2.0s)

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

prune380.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 42.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ (- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z)))) (/ (* z z) (- (* x y) z)))
12.3b	(- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z))))
19.1b	(/ (* z z) (- (* x y) z))
19.4b	(/ (* (* x y) (* x y)) (- (* x y) z))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log` `add-cbrt-cube`
22×	`*-un-lft-identity`
18×	`add-log-exp`
10×	`add-sqr-sqrt`
9×	`prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt`
7×	`cbrt-undiv` `div-exp`
6×	`times-frac` `associate-/r*`
5×	`sum-log` `distribute-lft-out`
4×	`pow1` `flip3--` `diff-log` `associate-/r/` `flip--` `distribute-lft-out--`
2×	`sub-neg` `associate-+l+` `frac-2neg` `frac-add` `clear-num` `div-inv` `associate-/l*`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `associate--r+` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

818.0ms	(+ (- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z)))) (/ (* z z) (- (* x y) z)))
109.0ms	(- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z))))
19.0ms	(/ (* z z) (- (* x y) z))
60.0ms	(/ (* (* x y) (* x y)) (- (* x y) z))

series359.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(+ (- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z)))) (/ (* z z) (- (* x y) z)))
84.0ms	(- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z))))
82.0ms	(/ (* z z) (- (* x y) z))
59.0ms	(/ (* (* x y) (* x y)) (- (* x y) z))

simplify2.9s

Counts

102 → 102

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	172	2583
1	572	2400
2	4146	2030
done	5001	2028

prune348.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 42.2b

regimes388.0ms

Accuracy

0% (1.3b remaining)

Error of 45.2b against oracle of 43.9b and baseline of 45.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	30
1	22	30
done	22	30

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.1s	2606×	body	1280	valid
813.0ms	1547×	body	640	valid
255.0ms	625×	body	2560	valid
203.0ms	730×	body	320	valid
123.0ms	2143×	body	80	valid
40.0ms	349×	body	160	valid