Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

266×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	14	17
1	24	16
2	43	15
3	75	15
4	127	15
5	182	15
6	215	15
7	291	15
8	600	15
9	1748	15
done	5000	15

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z (- b y) y)
0.8b	(fma x y (* z (- t a)))
27.3b	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 49

Calls

3 calls:

1.0ms	(fma z (- b y) y)
1.0ms	(fma x y (* z (- t a)))
21.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

series614.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(fma z (- b y) y)
80.0ms	(fma x y (* z (- t a)))
505.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

simplify2.1s

Counts

58 → 58

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	77	957
1	134	943
2	371	845
3	2341	845
done	5000	845

prune331.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 27.6b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (- b y) y)
0.3b	(/ 1 (/ (fma z (- b y) y) (fma x y (* z (- t a)))))
0.8b	(fma x y (* z (- t a)))
27.3b	(/ (fma z (- b y) y) (fma x y (* z (- t a))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `fma-udef`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

4 → 127

Calls

4 calls:

1.0ms	(fma z (- b y) y)
23.0ms	(/ 1 (/ (fma z (- b y) y) (fma x y (* z (- t a)))))
7.0ms	(fma x y (* z (- t a)))
6.0ms	(/ (fma z (- b y) y) (fma x y (* z (- t a))))

series1.1s

Counts

4 → 12

Calls

4 calls:

46.0ms	(fma z (- b y) y)
776.0ms	(/ 1 (/ (fma z (- b y) y) (fma x y (* z (- t a)))))
78.0ms	(fma x y (* z (- t a)))
217.0ms	(/ (fma z (- b y) y) (fma x y (* z (- t a))))

simplify1.2s

Counts

139 → 139

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	178	3291
1	401	3072
2	1579	2803
done	5001	2757

prune585.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 13.8b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (fma z (- b y) y))
0.5b	(/ 1 (fma x y (* z (- t a))))
0.8b	(fma x y (* z (- t a)))
27.1b	(/ (/ 1 (fma z (- b y) y)) (/ 1 (fma x y (* z (- t a)))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

439×	`times-frac`
216×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
52×	`add-exp-log`
36×	`div-exp`
31×	`div-inv`
20×	`add-cbrt-cube`
19×	`associate-/r` `associate-/l`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-flip` `inv-pow`
1×	`associate-/r/` `fma-udef` `associate-/l/`

Counts

4 → 305

Calls

4 calls:

9.0ms	(/ 1 (fma z (- b y) y))
9.0ms	(/ 1 (fma x y (* z (- t a))))
1.0ms	(fma x y (* z (- t a)))
44.0ms	(/ (/ 1 (fma z (- b y) y)) (/ 1 (fma x y (* z (- t a)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ 1 (fma z (- b y) y))
111.0ms	(/ 1 (fma x y (* z (- t a))))
76.0ms	(fma x y (* z (- t a)))
876.0ms	(/ (/ 1 (fma z (- b y) y)) (/ 1 (fma x y (* z (- t a)))))

simplify823.0ms

Counts

317 → 317

Iterations

Useful iterations: done (803.0ms)

Iter	Nodes	Cost
0	414	10015
1	1349	8783
done	5000	8095

prune689.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 13.8b

localize25.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (/ (fma x y (* z (- t a))) (fma z (- b y) y)))
27.3b	(/ (fma x y (* z (- t a))) (fma z (- b y) y))
27.3b	(/ (fma x y (* z (- t a))) (fma z (- b y) y))
27.3b	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`cbrt-div` `pow1/3`

Counts

4 → 111

Calls

4 calls:

2.0ms	(cbrt (/ (fma x y (* z (- t a))) (fma z (- b y) y)))
5.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))
5.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))
6.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

series3.0s

Counts

4 → 12

Calls

4 calls:

1.4s	(cbrt (/ (fma x y (* z (- t a))) (fma z (- b y) y)))
573.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))
587.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))
448.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

simplify1.5s

Counts

123 → 123

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	137	2909
1	247	2869
2	600	2647
3	2424	2635
done	5001	2603

prune697.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 13.8b

regimes880.0ms

Accuracy

29.1% (9.0b remaining)

Error of 19.8b against oracle of 10.8b and baseline of 23.5b

bsearch329.0ms

Steps

Iters	Range		Point
8	7.449231861388997e+198	3.2534701627226897e+202	7.562322875695318e+198
7	6.873052400883988e+119	8.064110736065208e+121	9.130830894406563e+119
10	4.206089350380292e+60	4.732125435430886e+74	8.554770822371757e+73
8	-1.928789003675552e+158	-3.039885801893941e+154	-5.165500557925723e+156

simplify10.0ms

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	31	71
1	37	65
done	37	65

end0.0ms

sample2.1s

Algorithm

intervals

Results

889.0ms

8441×

body

valid