Details

sample39.0ms

Algorithm

intervals

Results

22.0ms

265×

body

valid

simplify3.0s

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

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.3b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- b y) z y)
0.0b	(fma z (- t a) (* x y))
18.6b	(/ (fma z (- t a) (* x y)) (fma (- b y) z y))

rewrite6.0ms

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` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 49

Calls

3 calls:

0.0ms	(fma (- b y) z y)
0.0ms	(fma z (- t a) (* x y))
4.0ms	(/ (fma z (- t a) (* x y)) (fma (- b y) z y))

series605.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(fma (- b y) z y)
72.0ms	(fma z (- t a) (* x y))
470.0ms	(/ (fma z (- t a) (* x y)) (fma (- b y) z y))

simplify1.3s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
3	1102
2	306
1	134
0	77

prune633.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 15.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- b y) z y)
0.0b	(fma z (- t a) (* x y))
0.6b	(/ 1 (fma (- b y) z y))
18.4b	(* (fma z (- t a) (* x y)) (/ 1 (fma (- b y) z y)))

rewrite21.0ms

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` `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 → 91

Calls

4 calls:

0.0ms	(fma (- b y) z y)
0.0ms	(fma z (- t a) (* x y))
5.0ms	(/ 1 (fma (- b y) z y))
13.0ms	(* (fma z (- t a) (* x y)) (/ 1 (fma (- b y) z y)))

series743.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma (- b y) z y)
98.0ms	(fma z (- t a) (* x y))
162.0ms	(/ 1 (fma (- b y) z y))
446.0ms	(* (fma z (- t a) (* x y)) (/ 1 (fma (- b y) z y)))

simplify2.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5003
3	2637
2	699
1	238
0	114

prune765.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 15.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- b y) z y)
0.0b	(fma z (- t a) (* x y))
0.4b	(/ 1 (/ (fma (- b y) z y) (fma z (- t a) (* x y))))
18.5b	(/ (fma (- b y) z y) (fma z (- t a) (* x y)))

rewrite18.0ms

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` `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 → 127

Calls

4 calls:

0.0ms	(fma (- b y) z y)
0.0ms	(fma z (- t a) (* x y))
9.0ms	(/ 1 (/ (fma (- b y) z y) (fma z (- t a) (* x y))))
4.0ms	(/ (fma (- b y) z y) (fma z (- t a) (* x y)))

series2.2s

Counts

4 → 12

Calls

4 calls:

68.0ms	(fma (- b y) z y)
57.0ms	(fma z (- t a) (* x y))
1.8s	(/ 1 (/ (fma (- b y) z y) (fma z (- t a) (* x y))))
255.0ms	(/ (fma (- b y) z y) (fma z (- t a) (* x y)))

simplify2.9s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
3	2995
2	871
1	394
0	178

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.4b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (- t a) (* x y))
0.3b	(/ 1 (fma z (- t a) (* x y)))
0.4b	(/ 1 (* (fma (- b y) z y) (/ 1 (fma z (- t a) (* x y)))))
18.4b	(* (fma (- b y) z y) (/ 1 (fma z (- t a) (* x y))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
29×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `times-frac`
22×	`add-cube-cbrt`
20×	`add-cbrt-cube` `div-exp`
16×	`prod-exp`
13×	`associate-r`
10×	`pow1` `rec-exp` `1-exp`
6×	`cbrt-undiv` `associate-/l*`
4×	`expm1-log1p-u` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `div-inv` `pow-flip` `unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-*r/` `associate-/r/` `un-div-inv` `inv-pow`
1×	`*-commutative` `fma-udef`

Counts

4 → 123

Calls

4 calls:

1.0ms	(fma z (- t a) (* x y))
8.0ms	(/ 1 (fma z (- t a) (* x y)))
40.0ms	(/ 1 (* (fma (- b y) z y) (/ 1 (fma z (- t a) (* x y)))))
27.0ms	(* (fma (- b y) z y) (/ 1 (fma z (- t a) (* x y))))

series2.2s

Counts

4 → 12

Calls

4 calls:

70.0ms	(fma z (- t a) (* x y))
104.0ms	(/ 1 (fma z (- t a) (* x y)))
1.8s	(/ 1 (* (fma (- b y) z y) (/ 1 (fma z (- t a) (* x y)))))
234.0ms	(* (fma (- b y) z y) (/ 1 (fma z (- t a) (* x y))))

simplify2.9s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
3	2498
2	773
1	327
0	147

prune985.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 7.4b

regimes1.1s

Accuracy

34.2% (8.1b remaining)

Error of 19.3b against oracle of 11.1b and baseline of 23.5b

bsearch174.0ms

Steps

Iters	Range		Point
8	4.897816382155483e+93	3.6148537752216936e+96	2.561533282437488e+94
9	-3.728707597211122e+178	-7.471105108370609e+171	-7.55495103000839e+171

simplify3.0ms

Iterations

Iter	Nodes
done	25
1	25
0	21

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s

8372×

body

valid