Details

sample67.0ms

Algorithm

intervals

Results

27.0ms

275×

body

valid

simplify8.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	4466
10	1602
9	728
8	422
7	255
6	182
5	146
4	116
3	75
2	43
1	24
0	14

prune35.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.2b

localize47.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z (- b y) y)
0.5b	(fma z (- t a) (* y x))
24.3b	(/ (fma z (- t a) (* y x)) (fma z (- b y) y))

rewrite18.0ms

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 z (- t a) (* y x))
15.0ms	(/ (fma z (- t a) (* y x)) (fma z (- b y) y))

series1.1s

Counts

3 → 9

Calls

3 calls:

44.0ms	(fma z (- b y) y)
94.0ms	(fma z (- t a) (* y x))
943.0ms	(/ (fma z (- t a) (* y x)) (fma z (- b y) y))

simplify8.7s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
4	4229
3	911
2	307
1	134
0	78

prune823.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 20.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (- b y) y)
0.5b	(fma z (- t a) (* y x))
1.0b	(/ 1 (fma z (- b y) y))
23.7b	(* (fma z (- t a) (* y x)) (/ 1 (fma z (- b y) y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
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-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `fma-udef` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma z (- b y) y)
1.0ms	(fma z (- t a) (* y x))
8.0ms	(/ 1 (fma z (- b y) y))
23.0ms	(* (fma z (- t a) (* y x)) (/ 1 (fma z (- b y) y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

43.0ms	(fma z (- b y) y)
80.0ms	(fma z (- t a) (* y x))
106.0ms	(/ 1 (fma z (- b y) y))
918.0ms	(* (fma z (- t a) (* y x)) (/ 1 (fma z (- b y) y)))

simplify3.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	1444
2	663
1	238
0	115

prune1.5s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 20.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (- b y) y)
0.4b	(/ 1 (/ (fma z (- b y) y) (fma z (- t a) (* y x))))
0.5b	(fma z (- t a) (* y x))
24.2b	(/ (fma z (- b y) y) (fma z (- t a) (* y x)))

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:

0.0ms	(fma z (- b y) y)
19.0ms	(/ 1 (/ (fma z (- b y) y) (fma z (- t a) (* y x))))
1.0ms	(fma z (- t a) (* y x))
17.0ms	(/ (fma z (- b y) y) (fma z (- t a) (* y x)))

series1.7s

Counts

4 → 12

Calls

4 calls:

49.0ms	(fma z (- b y) y)
1.3s	(/ 1 (/ (fma z (- b y) y) (fma z (- t a) (* y x))))
155.0ms	(fma z (- t a) (* y x))
204.0ms	(/ (fma z (- b y) y) (fma z (- t a) (* y x)))

simplify6.7s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
3	2996
2	979
1	394
0	179

prune2.0s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 12.3b

localize50.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z (- b y) y)
0.5b	(fma z (- t a) (* y x))
24.3b	(/ (fma z (- t a) (* y x)) (fma z (- b y) y))

rewrite180.0ms

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)
5.0ms	(fma z (- t a) (* y x))
158.0ms	(/ (fma z (- t a) (* y x)) (fma z (- b y) y))

series2.7s

Counts

3 → 9

Calls

3 calls:

105.0ms	(fma z (- b y) y)
260.0ms	(fma z (- t a) (* y x))
2.3s	(/ (fma z (- t a) (* y x)) (fma z (- b y) y))

simplify14.0s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
4	4229
3	911
2	307
1	134
0	78

prune1.6s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 12.3b

regimes4.6s

Accuracy

29.2% (8.5b remaining)

Error of 19.4b against oracle of 11.0b and baseline of 22.9b

bsearch860.0ms

Steps

Iters	Range		Point
10	6.546935309050542e+155	3.303567555209557e+167	3.7160992898136775e+157
9	-4.2467970552972774e+192	-4.945357060890522e+186	-7.711212480300809e+186

simplify8.0ms

Iterations

Iter	Nodes
done	30
1	30
0	23

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.9s

8439×

body

valid