Details

sample55.0ms

Algorithm

intervals

Results

35.0ms

270×

body

valid

simplify2.4s

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- b y) z y)
0.3b	(fma z (- t a) (* x y))
19.1b	(/ (fma z (- t a) (* x y)) (fma (- b y) z y))

rewrite8.0ms

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:

0.0ms	(fma (- b y) z y)
0.0ms	(fma z (- t a) (* x y))
7.0ms	(/ (fma z (- t a) (* x y)) (fma (- b y) z y))

series391.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(fma (- b y) z y)
60.0ms	(fma z (- t a) (* x y))
286.0ms	(/ (fma z (- t a) (* x y)) (fma (- b y) z y))

simplify1.2s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
3	1097
2	311
1	137
0	80

prune408.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 16.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- b y) z y)
0.3b	(fma z (- t a) (* x y))
1.2b	(/ 1 (fma (- b y) z y))
18.3b	(* (fma z (- t a) (* x y)) (/ 1 (fma (- b y) z y)))

rewrite22.0ms

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:

0.0ms	(fma (- b y) z y)
0.0ms	(fma z (- t a) (* x y))
6.0ms	(/ 1 (fma (- b y) z y))
14.0ms	(* (fma z (- t a) (* x y)) (/ 1 (fma (- b y) z y)))

series549.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(fma (- b y) z y)
67.0ms	(fma z (- t a) (* x y))
120.0ms	(/ 1 (fma (- b y) z y))
333.0ms	(* (fma z (- t a) (* x y)) (/ 1 (fma (- b y) z y)))

simplify1.9s

Counts

107 → 107

Iterations

Iter	Nodes
done	5010
3	2193
2	617
1	242
0	118

prune505.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 16.5b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- b y) z y)
0.3b	(fma (- t a) z (* y x))
19.1b	(/ (fma (- t a) z (* y x)) (fma (- b y) z y))

rewrite5.0ms

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:

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

series433.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(fma (- b y) z y)
52.0ms	(fma (- t a) z (* y x))
343.0ms	(/ (fma (- t a) z (* y x)) (fma (- b y) z y))

simplify2.4s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
4	4461
3	943
2	311
1	137
0	81

prune328.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 16.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- b y) z y)
0.3b	(fma (- t a) z (* y x))
0.5b	(/ 1 (/ (fma (- b y) z y) (fma (- t a) z (* y x))))
19.1b	(/ (fma (- b y) z y) (fma (- t a) z (* y x)))

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` `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:

0.0ms	(fma (- b y) z y)
0.0ms	(fma (- t a) z (* y x))
6.0ms	(/ 1 (/ (fma (- b y) z y) (fma (- t a) z (* y x))))
5.0ms	(/ (fma (- b y) z y) (fma (- t a) z (* y x)))

series1.6s

Counts

4 → 12

Calls

4 calls:

32.0ms	(fma (- b y) z y)
62.0ms	(fma (- t a) z (* y x))
1.3s	(/ 1 (/ (fma (- b y) z y) (fma (- t a) z (* y x))))
194.0ms	(/ (fma (- b y) z y) (fma (- t a) z (* y x)))

simplify1.9s

Counts

143 → 143

Iterations

Iter	Nodes
done	5008
3	2975
2	859
1	399
0	183

prune818.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 8.9b

regimes864.0ms

Accuracy

29.1% (8.0b remaining)

Error of 18.5b against oracle of 10.5b and baseline of 21.8b

bsearch110.0ms

Steps

Iters	Range		Point
9	1.411365673275406e+111	5.780529500559288e+118	1.8428426605187136e+116
8	-8.625126742119082e+119	-2.552279280824353e+115	-3.46309436887537e+119

simplify4.0ms

Iterations

Iter	Nodes
done	25
1	25
0	21

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.2s

8414×

body

valid