Details

sample320.0ms

Algorithm

intervals

Results

127.0ms	53×	body	1280	valid
32.0ms	33×	body	640	valid
31.0ms	137×	body	80	valid
18.0ms	25×	body	320	valid
14.0ms	256×	pre	80	true
4.0ms	8×	body	160	valid

simplify43.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
5	26
4	25
3	23
2	20
1	16
0	9

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize48.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1))
0.1b	(* (/ (sin v) (fma (cos v) e 1)) e)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 65

Calls

2 calls:

8.0ms	(/ (sin v) (fma (cos v) e 1))
13.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

series205.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ (sin v) (fma (cos v) e 1))
129.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

simplify735.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	2001
2	879
1	300
0	125

prune368.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1))
0.1b	(* (log1p (expm1 (/ (sin v) (fma (cos v) e 1)))) e)
0.2b	(expm1 (/ (sin v) (fma (cos v) e 1)))
0.2b	(log1p (expm1 (/ (sin v) (fma (cos v) e 1))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `log1p-expm1` `*-commutative` `cbrt-unprod` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

10.0ms	(/ (sin v) (fma (cos v) e 1))
12.0ms	(* (log1p (expm1 (/ (sin v) (fma (cos v) e 1)))) e)
1.0ms	(expm1 (/ (sin v) (fma (cos v) e 1)))
1.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1))))

series420.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (sin v) (fma (cos v) e 1))
155.0ms	(* (log1p (expm1 (/ (sin v) (fma (cos v) e 1)))) e)
105.0ms	(expm1 (/ (sin v) (fma (cos v) e 1)))
106.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1))))

simplify829.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	2032
2	1135
1	327
0	150

prune533.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1))
0.3b	(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
0.3b	(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt e))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
19×	`add-cbrt-cube` `add-exp-log`
14×	`associate-l`
12×	`associate-r`
10×	`pow1`
8×	`sqrt-prod`
7×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `unswap-sqr`
3×	`expm1-log1p-u` `cbrt-undiv` `associate-/r` `div-exp` `associate-l/` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`*-commutative` `div-inv`
1×	`clear-num` `frac-2neg`

Counts

3 → 97

Calls

3 calls:

15.0ms	(/ (sin v) (fma (cos v) e 1))
22.0ms	(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
43.0ms	(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt e))

series377.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ (sin v) (fma (cos v) e 1))
182.0ms	(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
121.0ms	(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt e))

simplify1.2s

Counts

106 → 106

Iterations

Iter	Nodes
done	2000
2	1969
1	511
0	187

prune780.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (sin v) (/ (fma (cos v) e 1) (sqrt e)))
0.3b	(* (/ (sin v) (/ (fma (cos v) e 1) (sqrt e))) (sqrt e))
0.3b	(/ (fma (cos v) e 1) (sqrt e))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

286×	`times-frac`
183×	`add-sqr-sqrt`
157×	`*-un-lft-identity` `add-cube-cbrt`
84×	`sqrt-prod`
71×	`associate-l`
28×	`associate-/r*`
19×	`add-cbrt-cube` `add-exp-log`
10×	`div-inv`
8×	`unswap-sqr`
7×	`cbrt-undiv` `div-exp`
6×	`associate-r` `associate-/l*`
5×	`pow1`
3×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow-prod-down` `associate-l/` `-commutative`

Counts

3 → 255

Calls

3 calls:

22.0ms	(/ (sin v) (/ (fma (cos v) e 1) (sqrt e)))
40.0ms	(* (/ (sin v) (/ (fma (cos v) e 1) (sqrt e))) (sqrt e))
10.0ms	(/ (fma (cos v) e 1) (sqrt e))

series383.0ms

Counts

3 → 9

Calls

3 calls:

146.0ms	(/ (sin v) (/ (fma (cos v) e 1) (sqrt e)))
107.0ms	(* (/ (sin v) (/ (fma (cos v) e 1) (sqrt e))) (sqrt e))
129.0ms	(/ (fma (cos v) e 1) (sqrt e))

simplify863.0ms

Counts

264 → 264

Iterations

Iter	Nodes
done	2001
1	1074
0	381

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.1s	1480×	body	1280	valid
1.2s	1223×	body	640	valid
864.0ms	644×	body	320	valid
780.0ms	4322×	body	80	valid
344.0ms	8000×	pre	80	true
163.0ms	331×	body	160	valid