Details

sample47.0ms

Algorithm

intervals

Results

14.0ms	91×	body	1280	valid
9.0ms	22×	body	2560	valid
5.0ms	39×	body	640	valid
3.0ms	69×	body	80	valid
2.0ms	26×	body	320	valid
1.0ms	9×	body	160	valid

simplify947.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	43	12
3	87	12
4	181	12
5	297	12
6	389	12
7	459	12
8	521	12
done	521	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
11.3b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite110.0ms

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:

16.0ms	(+ (* x y) z)
93.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (* x y) z)
66.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.5s

Counts

35 → 35

Iterations

Useful iterations: 3 (626.0ms)

Iter	Nodes	Cost
0	65	500
1	176	483
2	564	449
3	2547	447
done	5000	447

prune101.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 44.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
11.3b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite64.0ms

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:

13.0ms	(+ (* x y) z)
50.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (* x y) z)
49.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.7s

Counts

35 → 35

Iterations

Useful iterations: 3 (578.0ms)

Iter	Nodes	Cost
0	65	500
1	176	483
2	564	449
3	2547	447
done	5000	447

prune163.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 44.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
4.4b	(- (* (* x y) (* x y)) (* z z))
12.2b	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
33.4b	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

rewrite582.0ms

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:

28.0ms	(* (* x y) (* x y))
41.0ms	(- (* (* x y) (* x y)) (* z z))
376.0ms	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
133.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

series396.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (* x y) (* x y))
109.0ms	(- (* (* x y) (* x y)) (* z z))
121.0ms	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
101.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

simplify1.7s

Counts

113 → 113

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	160	2219
1	412	2028
2	1491	1424
done	5001	1420

prune394.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 35.2b

localize45.0ms

Local error

Found 4 expressions with local error:

2.5b	(/ x (/ (- 1 (/ z (* x y))) y))
5.8b	(/ z (* x y))
13.1b	(- (fma x y z) (/ x (/ (- 1 (/ z (* x y))) y)))
21.7b	(/ (* z z) (- (* x y) z))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
116×	`add-sqr-sqrt`
109×	`*-un-lft-identity`
71×	`add-cube-cbrt`
27×	`difference-of-squares`
26×	`associate-/r*`
19×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out--`
7×	`cbrt-undiv` `div-exp` `div-inv` `associate-/l*`
6×	`add-log-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `associate-/r/`
2×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
1×	`sub-neg` `diff-log`

Counts

4 → 166

Calls

4 calls:

55.0ms	(/ x (/ (- 1 (/ z (* x y))) y))
9.0ms	(/ z (* x y))
134.0ms	(- (fma x y z) (/ x (/ (- 1 (/ z (* x y))) y)))
40.0ms	(/ (* z z) (- (* x y) z))

series372.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(/ x (/ (- 1 (/ z (* x y))) y))
36.0ms	(/ z (* x y))
78.0ms	(- (fma x y z) (/ x (/ (- 1 (/ z (* x y))) y)))
101.0ms	(/ (* z z) (- (* x y) z))

simplify1.5s

Counts

178 → 178

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	319	3363
1	723	3160
2	2205	3000
done	5000	2997

prune827.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 29.4b

regimes264.0ms

Accuracy

23% (2.0b remaining)

Error of 31.4b against oracle of 29.4b and baseline of 32.0b

bsearch95.0ms

Steps

Iters	Range		Point
8	5.342657319925775e+98	1.3669749574208182e+103	8.355733002062014e+99

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	26	52
1	31	50
done	31	50

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.4s	2658×	body	1280	valid
422.0ms	1527×	body	640	valid
305.0ms	581×	body	2560	valid
199.0ms	766×	body	320	valid
127.0ms	2103×	body	80	valid
43.0ms	365×	body	160	valid