Details

sample49.0ms

Algorithm

intervals

Results

20.0ms

266×

body

valid

simplify7.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	4203
10	1582
9	731
8	425
7	258
6	185
5	149
4	115
3	75
2	43
1	24
0	14

prune44.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.6b

localize101.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z (- t a) (* x y))
0.0b	(fma (- b y) z y)
24.7b	(/ (fma z (- t a) (* x y)) (fma (- b y) z y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `pow1` `associate-/r` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 52

Calls

3 calls:

3.0ms	(fma z (- t a) (* x y))
3.0ms	(fma (- b y) z y)
24.0ms	(/ (fma z (- t a) (* x y)) (fma (- b y) z y))

series1.0s

Counts

3 → 9

Calls

3 calls:

83.0ms	(fma z (- t a) (* x y))
75.0ms	(fma (- b y) z y)
864.0ms	(/ (fma z (- t a) (* x y)) (fma (- b y) z y))

simplify3.2s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
3	1074
2	306
1	137
0	80

prune1.4s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 18.9b

localize132.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (- t a) (* x y))
0.0b	(fma (- b y) z y)
0.4b	(/ 1 (fma (- b y) z y))
24.6b	(* (fma z (- t a) (* x y)) (/ 1 (fma (- b y) z y)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
17×	`add-exp-log`
13×	`associate-r`
11×	`add-cbrt-cube`
7×	`pow1`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-l` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `fma-udef` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 95

Calls

4 calls:

2.0ms	(fma z (- t a) (* x y))
3.0ms	(fma (- b y) z y)
24.0ms	(/ 1 (fma (- b y) z y))
47.0ms	(* (fma z (- t a) (* x y)) (/ 1 (fma (- b y) z y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

80.0ms	(fma z (- t a) (* x y))
70.0ms	(fma (- b y) z y)
184.0ms	(/ 1 (fma (- b y) z y))
671.0ms	(* (fma z (- t a) (* x y)) (/ 1 (fma (- b y) z y)))

simplify5.2s

Counts

107 → 107

Iterations

Iter	Nodes
done	5007
3	2258
2	593
1	239
0	118

prune1.8s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 18.9b

localize159.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (- t a) (* x y))
0.0b	(fma (- b y) z y)
0.2b	(/ 1 (/ (fma (- b y) z y) (fma z (- t a) (* x y))))
24.7b	(/ (fma (- b y) z y) (fma z (- t a) (* x y)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `fma-udef`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 131

Calls

4 calls:

2.0ms	(fma z (- t a) (* x y))
3.0ms	(fma (- b y) z y)
36.0ms	(/ 1 (/ (fma (- b y) z y) (fma z (- t a) (* x y))))
23.0ms	(/ (fma (- b y) z y) (fma z (- t a) (* x y)))

series2.9s

Counts

4 → 12

Calls

4 calls:

84.0ms	(fma z (- t a) (* x y))
50.0ms	(fma (- b y) z y)
2.4s	(/ 1 (/ (fma (- b y) z y) (fma z (- t a) (* x y))))
384.0ms	(/ (fma (- b y) z y) (fma z (- t a) (* x y)))

simplify6.1s

Counts

143 → 143

Iterations

Iter	Nodes
done	5001
3	2889
2	824
1	394
0	182

prune2.7s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 11.3b

localize157.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (- b y) y)
0.0b	(fma z (- t a) (* x y))
0.2b	(/ 1 (/ (fma z (- b y) y) (fma z (- t a) (* x y))))
24.7b	(/ (fma z (- b y) y) (fma z (- t a) (* x y)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `fma-udef`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 131

Calls

4 calls:

1.0ms	(fma z (- b y) y)
1.0ms	(fma z (- t a) (* x y))
23.0ms	(/ 1 (/ (fma z (- b y) y) (fma z (- t a) (* x y))))
22.0ms	(/ (fma z (- b y) y) (fma z (- t a) (* x y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

46.0ms	(fma z (- b y) y)
98.0ms	(fma z (- t a) (* x y))
1.0s	(/ 1 (/ (fma z (- b y) y) (fma z (- t a) (* x y))))
264.0ms	(/ (fma z (- b y) y) (fma z (- t a) (* x y)))

simplify6.2s

Counts

143 → 143

Iterations

Iter	Nodes
done	5000
3	2901
2	824
1	394
0	182

prune2.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 11.3b

regimes3.7s

Accuracy

34% (8.4b remaining)

Error of 19.3b against oracle of 10.9b and baseline of 23.6b

bsearch144.0ms

Steps

Iters	Range		Point
7	1.6942679978030148e+120	1.2693035531424569e+122	5.613870853735117e+120
6	-7.828969379025143e+161	-1.2817277478091954e+161	-1.304579087607779e+161

simplify9.0ms

Iterations

Iter	Nodes
done	25
1	25
0	21

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.0s

8391×

body

valid